## TSTP Solution File: LAT270-2 by Vampire---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire---4.7
% Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n026.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 : Sat Sep 17 18:27:19 EDT 2022

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

%------------------------------------------------------------------------------
fof(f14,plain,
\$false,
inference(subsumption_resolution,[],[f13,f4]) ).

fof(f4,axiom,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f13,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(subsumption_resolution,[],[f12,f2]) ).

fof(f2,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f12,plain,
( ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f11,f1]) ).

fof(f1,axiom,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f11,plain,
( ~ c_in(v_a,v_A,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolution,[],[f3,f5]) ).

fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a)
| c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).

fof(f3,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Sep  1 13:10:22 EDT 2022
% 0.14/0.36  % CPUTime    :
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.36  Running vampire --ignore_missing on --mode casc -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % (24323)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 0.21/0.43  % (24327)dis+1_40_av=off:lwlo=on:nwc=4:sos=all:sp=occurrence:updr=off_117 on theBenchmark
% 0.21/0.43  % (24329)lrs+10_3:2_afr=on:afp=100000:afq=2.0:anc=none:bs=unit_only:bsr=on:cond=fast:fsr=off:lwlo=on:nwc=2:nicw=on:stl=30:sp=reverse_arity_211 on theBenchmark
% 0.21/0.43  % (24326)lrs+10_2:3_av=off:bsr=on:cond=on:lwlo=on:nwc=1.7:stl=60:sp=occurrence:updr=off_171 on theBenchmark
% 0.21/0.43  % (24327)First to succeed.
% 0.21/0.43  % (24326)Also succeeded, but the first one will report.
% 0.21/0.43  % (24324)lrs+1011_8_add=large:afr=on:afp=40000:afq=1.2:amm=off:anc=none:bs=on:gs=on:gsem=off:nwc=1.5:nicw=on:stl=30:sac=on:sp=reverse_arity:updr=off_32 on theBenchmark
% 0.21/0.43  % (24325)dis+11_1_add=off:afp=4000:afq=2.0:amm=sco:anc=none:br=off:cond=on:lma=on:nwc=1:sos=all:sac=on:urr=on_7 on theBenchmark
% 0.21/0.43  % (24331)lrs+1011_3_av=off:bs=unit_only:cond=on:fsr=off:lcm=predicate:lma=on:lwlo=on:nwc=1:stl=30:sp=occurrence_215 on theBenchmark
% 0.21/0.43  % (24330)lrs+10_2:3_av=off:cond=on:fsr=off:lwlo=on:nwc=2.5:stl=30:sp=reverse_arity:updr=off_68 on theBenchmark
% 0.21/0.43  % (24327)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (24327)------------------------------
% 0.21/0.43  % (24327)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.21/0.43  % (24327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.43  % (24327)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43  % (24327)Memory used [KB]: 1535
% 0.21/0.43  % (24327)Time elapsed: 0.004 s
% 0.21/0.43  % (24327)------------------------------
% 0.21/0.43  % (24327)------------------------------
% 0.21/0.43  % (24323)Success in time 0.065 s
%------------------------------------------------------------------------------
```