## TSTP Solution File: SYN053-1 by Vampire---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire---4.7
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 23:26:44 EDT 2022

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   2 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  12   ~;  15   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

%------------------------------------------------------------------------------
fof(f28,plain,
\$false,
inference(avatar_sat_refutation,[],[f14,f21,f25,f27]) ).

fof(f27,plain,
( spl0_2
| ~ spl0_3 ),

fof(f26,plain,
( \$false
| spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f13,f18]) ).

fof(f18,plain,
( ! [X1] : big_f(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
( spl0_3
<=> ! [X1] : big_f(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f13,plain,
( ~ big_f(b)
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
( spl0_2
<=> big_f(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f25,plain,
( spl0_1
| ~ spl0_3 ),

fof(f24,plain,
( \$false
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f9,f18]) ).

fof(f9,plain,
( ~ big_f(a)
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).

fof(f7,plain,
( spl0_1
<=> big_f(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f21,plain,
( spl0_3
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f17,f17]) ).

fof(f20,plain,
! [X0,X1] :
( big_f(X1)
| big_f(X0) ),
inference(subsumption_resolution,[],[f1,f3]) ).

fof(f3,axiom,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f1,axiom,
! [X0,X1] :
( p
| big_f(X1)
| big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f14,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f11,f7]) ).

fof(f5,axiom,
( ~ big_f(b)
| ~ big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Sep  5 01:24:26 EDT 2022
% 0.13/0.34  % CPUTime    :
% 0.13/0.34  This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.13/0.34  Running vampire --ignore_missing on --mode casc -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % (27989)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.41  WARNING Broken Constraint: if sos(theory) has been set then saturation_algorithm(inst_gen) is equal to lrs or saturation_algorithm(inst_gen) is equal to otter or saturation_algorithm(inst_gen) is equal to discount or saturation_algorithm(inst_gen) is equal to inst_gen and inst_gen_with_resolution(off) is equal to on
% 0.13/0.41  WARNING Broken Constraint: if nongoal_weight_coefficient(2.5) has been set then saturation_algorithm(inst_gen) is equal to lrs or saturation_algorithm(inst_gen) is equal to otter or saturation_algorithm(inst_gen) is equal to discount or saturation_algorithm(inst_gen) is equal to inst_gen and inst_gen_with_resolution(off) is equal to on
% 0.13/0.41  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(inst_gen) is equal to lrs or saturation_algorithm(inst_gen) is equal to otter or saturation_algorithm(inst_gen) is equal to discount
% 0.13/0.41  % (27995)lrs+1011_14_afr=on:afp=100000:afq=1.1:anc=none:bd=off:bsr=on:irw=on:nwc=1:sas=z3:stl=30_90 on theBenchmark
% 0.13/0.41  % (27994)lrs+2_64_add=large:afp=40000:afq=1.1:bd=off:bs=on:bsr=on:bce=on:fde=unused:irw=on:lma=on:lwlo=on:nwc=1:stl=30:uhcvi=on_25 on theBenchmark
% 0.13/0.41  % (27993)ins+10_1_av=off:igbrr=0.2:igpr=on:igrp=400:igrpq=2.0:igs=1:nwc=2.5:sos=theory_283 on theBenchmark
% 0.13/0.41  % (27998)dis+1011_5_add=large:anc=none:bd=preordered:cond=on:fsr=off:fde=unused:lma=on:nwc=1:sos=theory:sp=occurrence:updr=off_1327 on theBenchmark
% 0.13/0.41  % (27992)ott+10_64_add=off:afr=on:afp=10000:afq=1.4:amm=sco:anc=none:bd=off:lcm=predicate:lma=on:nwc=1:sac=on:sp=reverse_arity:urr=on_47 on theBenchmark
% 0.13/0.41  % (27996)lrs+1003_10_afp=4000:afq=1.2:amm=sco:anc=none:bd=off:bsr=on:br=off:bce=on:fde=unused:lma=on:nwc=1:nicw=on:stl=120:sac=on:urr=on:updr=off:uhcvi=on_417 on theBenchmark
% 0.13/0.41  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.13/0.41  % (27994)First to succeed.
% 0.13/0.41  % (27999)fmb+10_1_av=off:fmbsr=1.6:fde=none:updr=off_3000 on theBenchmark
% 0.13/0.41  Detected maximum model sizes of [2]
% 0.13/0.41  TRYING [1]
% 0.13/0.41  % (27998)Also succeeded, but the first one will report.
% 0.13/0.41  TRYING [2]
% 0.13/0.41  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(inst_gen) is equal to lrs or saturation_algorithm(inst_gen) is equal to otter or saturation_algorithm(inst_gen) is equal to discount
% 0.13/0.41  WARNING Broken Constraint: if selection(11) is not default(10) then saturation_algorithm(inst_gen) is equal to lrs or saturation_algorithm(inst_gen) is equal to otter or saturation_algorithm(inst_gen) is equal to discount
% 0.20/0.41  % (27997)ins+11_128_av=off:cond=on:fsr=off:irw=on:igbrr=0.5:igpr=on:igrr=1/2:igrp=2000:igrpq=1.5:igs=1010:igwr=on:lma=on:nwc=1:sos=all:sp=occurrence:updr=off_194 on theBenchmark
% 0.20/0.41  % (27999)Also succeeded, but the first one will report.
% 0.20/0.41  % (27994)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (27994)------------------------------
% 0.20/0.41  % (27994)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.20/0.41  % (27994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.41  % (27994)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41  % (27994)Memory used [KB]: 5373
% 0.20/0.41  % (27994)Time elapsed: 0.003 s
% 0.20/0.41  % (27994)------------------------------
% 0.20/0.41  % (27994)------------------------------
% 0.20/0.41  % (27989)Success in time 0.062 s
%------------------------------------------------------------------------------
```