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

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire---4.7
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Sep 20 07:03:22 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(subsumption_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
% 0.03/0.12  % Problem    : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % 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   : Sat Sep  3 09:49:10 EDT 2022
% 0.13/0.34  % CPUTime    :
% 0.13/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.35  Running vampire --ignore_missing on --mode casc -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % (15428)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (15429)dis+1011_10_add=large:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_2 on theBenchmark
% 0.20/0.41  % (15432)lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_3 on theBenchmark
% 0.20/0.41  % (15431)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_3 on theBenchmark
% 0.20/0.41  % (15434)dis+1002_8_awrs=converge:awrsf=64:av=off:cond=fast:fsr=off:gsp=on:lma=on:nm=64:nwc=1.2:s2a=on:sos=on:sp=frequency:urr=on:updr=off:uhcvi=on_12 on theBenchmark
% 0.20/0.41  % (15435)dis+1_8_afp=4000:afq=1.1:amm=sco:gsp=on:nm=64:newcnf=on:nwc=4:sac=on:sp=occurrence:updr=off_191 on theBenchmark
% 0.20/0.41  % (15429)First to succeed.
% 0.20/0.41  % (15434)Also succeeded, but the first one will report.
% 0.20/0.41  % (15432)Also succeeded, but the first one will report.
% 0.20/0.41  % (15429)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  % (15429)------------------------------
% 0.20/0.41  % (15429)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.20/0.41  % (15429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.41  % (15429)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41  % (15429)Memory used [KB]: 5500
% 0.20/0.41  % (15429)Time elapsed: 0.003 s
% 0.20/0.41  % (15429)------------------------------
% 0.20/0.41  % (15429)------------------------------
% 0.20/0.41  % (15428)Success in time 0.062 s
%------------------------------------------------------------------------------
```