## TSTP Solution File: SEU163+1 by Vampire-SAT---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.7
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s

% Computer : n004.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 : Tue Sep 20 07:10:30 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

%------------------------------------------------------------------------------
fof(f20,plain,
\$false,
inference(resolution,[],[f19,f13]) ).

fof(f13,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f11]) ).

fof(f11,plain,
( ? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) )
=> ( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).

fof(f8,plain,
? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f19,plain,
~ in(sK0,sK1),
inference(resolution,[],[f17,f14]) ).

fof(f14,plain,
~ subset(sK0,union(sK1)),
inference(cnf_transformation,[],[f12]) ).

fof(f17,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command    : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Sep  3 09:45:19 EDT 2022
% 0.14/0.34  % CPUTime    :
% 0.14/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.34  % (917)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40  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
% 0.20/0.40  % (920)dis+10_3_add=large:afp=10000:afq=2.0:amm=sco:anc=none:cond=on:fsr=off:gsp=on:lma=on:nm=16:nwc=1:sac=on:updr=off_197 on theBenchmark
% 0.20/0.40  % (922)ott-3_5_awrs=decay:awrsf=128:afr=on:afp=40000:afq=1.0:amm=off:anc=none:bce=on:cond=fast:lma=on:nm=64:newcnf=on:nwc=1.1:sas=z3:sp=frequency:updr=off_146 on theBenchmark
% 0.20/0.40  % (921)dis+1_3_av=off:cond=on:nm=64:newcnf=on:nwc=1_87 on theBenchmark
% 0.20/0.40  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
% 0.20/0.40  % (925)fmb+10_1_av=off:bce=on:fmbsr=1.3:nm=2:newcnf=on_1200 on theBenchmark
% 0.20/0.40  % (924)fmb+10_1_av=off:bce=on:fmbes=smt:fmbsr=1.4:fde=none:ile=on:updr=off_600 on theBenchmark
% 0.20/0.40  % (918)ott+10_128_av=off:bs=on:gsp=on:irw=on:lcm=predicate:lma=on:nm=0:nwc=1:sp=occurrence:urr=on:updr=off:uhcvi=on_4 on theBenchmark
% 0.20/0.40  % (920)First to succeed.
% 0.20/0.40  TRYING [1]
% 0.20/0.40  TRYING [2]
% 0.20/0.41  TRYING [3]
% 0.20/0.41  % (921)Also succeeded, but the first one will report.
% 0.20/0.41  % (918)Also succeeded, but the first one will report.
% 0.20/0.41  % (920)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Theorem for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (920)------------------------------
% 0.20/0.41  % (920)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.20/0.41  % (920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.41  % (920)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41  % (920)Memory used [KB]: 5500
% 0.20/0.41  % (920)Time elapsed: 0.004 s
% 0.20/0.41  % (920)------------------------------
% 0.20/0.41  % (920)------------------------------
% 0.20/0.41  % (917)Success in time 0.062 s
%------------------------------------------------------------------------------
```