%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM013+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:40:08 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 100 ( 17 unt; 10 def)
% Number of atoms : 430 ( 20 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 492 ( 162 ~; 201 |; 103 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 11 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 106 ( 0 sgn 75 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(f14,axiom,
( aRewritingSystem0(xR)
& ! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( aReductOfIn0(X1,X0,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1) )
=> iLess0(X1,X0) ) )
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).
fof(f15,conjecture,
! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X1] :
( ( aElement0(X1)
& ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR) )
| aNormalFormOfIn0(X1,X0,xR) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X1] :
( ( aElement0(X1)
& ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR) )
| aNormalFormOfIn0(X1,X0,xR) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f21,plain,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2)
& ~ ? [X4] : aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X5] :
( ( aElement0(X5)
& ( X0 = X5
| aReductOfIn0(X5,X0,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X0,xR)
& sdtmndtplgtdt0(X6,xR,X5) )
| sdtmndtplgtdt0(X0,xR,X5)
| sdtmndtasgtdt0(X0,xR,X5) )
& ~ ? [X7] : aReductOfIn0(X7,X5,xR) )
| aNormalFormOfIn0(X5,X0,xR) ) ) ),
inference(rectify,[],[f16]) ).
fof(f22,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f22]) ).
fof(f40,plain,
( aRewritingSystem0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ aReductOfIn0(X1,X0,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,X0,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1) )
| ~ aElement0(X0)
| ~ aElement0(X1) )
& isTerminating0(xR) ),
inference(ennf_transformation,[],[f14]) ).
fof(f41,plain,
( aRewritingSystem0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ aReductOfIn0(X1,X0,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,X0,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1) )
| ~ aElement0(X0)
| ~ aElement0(X1) )
& isTerminating0(xR) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
? [X0] :
( ! [X5] :
( ( ~ aElement0(X5)
| ( X0 != X5
& ~ aReductOfIn0(X5,X0,xR)
& ! [X6] :
( ~ aElement0(X6)
| ~ aReductOfIn0(X6,X0,xR)
| ~ sdtmndtplgtdt0(X6,xR,X5) )
& ~ sdtmndtplgtdt0(X0,xR,X5)
& ~ sdtmndtasgtdt0(X0,xR,X5) )
| ? [X7] : aReductOfIn0(X7,X5,xR) )
& ~ aNormalFormOfIn0(X5,X0,xR) )
& ! [X1] :
( ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) )
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f43,plain,
? [X0] :
( ! [X5] :
( ( ~ aElement0(X5)
| ( X0 != X5
& ~ aReductOfIn0(X5,X0,xR)
& ! [X6] :
( ~ aElement0(X6)
| ~ aReductOfIn0(X6,X0,xR)
| ~ sdtmndtplgtdt0(X6,xR,X5) )
& ~ sdtmndtplgtdt0(X0,xR,X5)
& ~ sdtmndtasgtdt0(X0,xR,X5) )
| ? [X7] : aReductOfIn0(X7,X5,xR) )
& ~ aNormalFormOfIn0(X5,X0,xR) )
& ! [X1] :
( ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) )
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(flattening,[],[f42]) ).
fof(f71,plain,
? [X0] :
( ! [X1] :
( ( ~ aElement0(X1)
| ( X0 != X1
& ~ aReductOfIn0(X1,X0,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,X0,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ~ sdtmndtasgtdt0(X0,xR,X1) )
| ? [X3] : aReductOfIn0(X3,X1,xR) )
& ~ aNormalFormOfIn0(X1,X0,xR) )
& ! [X4] :
( ? [X5] :
( aElement0(X5)
& ( X4 = X5
| ( ( aReductOfIn0(X5,X4,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X4,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X4,xR,X5) ) )
& sdtmndtasgtdt0(X4,xR,X5)
& ! [X7] : ~ aReductOfIn0(X7,X5,xR)
& aNormalFormOfIn0(X5,X4,xR) )
| ~ iLess0(X4,X0)
| ~ aElement0(X4) )
& aElement0(X0) ),
inference(rectify,[],[f43]) ).
fof(f72,plain,
( ! [X1] :
( ( ~ aElement0(X1)
| ( sK16 != X1
& ~ aReductOfIn0(X1,sK16,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,sK16,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ sdtmndtplgtdt0(sK16,xR,X1)
& ~ sdtmndtasgtdt0(sK16,xR,X1) )
| aReductOfIn0(sK17(X1),X1,xR) )
& ~ aNormalFormOfIn0(X1,sK16,xR) )
& ! [X4] :
( ( aElement0(sK18(X4))
& ( sK18(X4) = X4
| ( ( aReductOfIn0(sK18(X4),X4,xR)
| ( aElement0(sK19(X4))
& aReductOfIn0(sK19(X4),X4,xR)
& sdtmndtplgtdt0(sK19(X4),xR,sK18(X4)) ) )
& sdtmndtplgtdt0(X4,xR,sK18(X4)) ) )
& sdtmndtasgtdt0(X4,xR,sK18(X4))
& ! [X7] : ~ aReductOfIn0(X7,sK18(X4),xR)
& aNormalFormOfIn0(sK18(X4),X4,xR) )
| ~ iLess0(X4,sK16)
| ~ aElement0(X4) )
& aElement0(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19]),skolemize(X0,sK16),skolemize(X3,sK17(X1)),skolemize(X5,sK18(X4)),skolemize(X6,sK19(X4))],[f71]) ).
fof(f73,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f120,plain,
! [X0,X1] :
( iLess0(X1,X0)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f121,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f41]) ).
fof(f122,plain,
aElement0(sK16),
inference(cnf_transformation,[],[f72]) ).
fof(f124,plain,
! [X7,X4] :
( ~ aReductOfIn0(X7,sK18(X4),xR)
| ~ iLess0(X4,sK16)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f126,plain,
! [X4] :
( sK18(X4) = X4
| sdtmndtplgtdt0(X4,xR,sK18(X4))
| ~ iLess0(X4,sK16)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X4] :
( aElement0(sK18(X4))
| ~ iLess0(X4,sK16)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f134,plain,
! [X2,X1] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X2,sK16,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(cnf_transformation,[],[f72]) ).
fof(f135,plain,
! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,sK16,xR)
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
! [X1] :
( ~ aElement0(X1)
| sK16 != X1
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
( ~ aElement0(sK16)
| aReductOfIn0(sK17(sK16),sK16,xR) ),
inference(equality_resolution,[],[f136]) ).
fof(f139,plain,
! [X2,X0,X1] :
( aRewritingSystem0(X1)
| aReductOfIn0(X2,X0,X1)
| aElement0(X0)
| ~ aElement0(X2) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f183,plain,
~ aRewritingSystem0(xR),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f184,plain,
! [X0,X1] :
( aElement0(X1)
| aReductOfIn0(X1,X0,xR)
| aElement0(X0)
| ~ iLess0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f188,plain,
( aElement0(sK16)
| ~ aReductOfIn0(sK17(sK16),sK16,xR) ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f189,plain,
! [X1] :
( aReductOfIn0(X1,sK16,xR)
| aElement0(X1)
| ~ aReductOfIn0(sK17(X1),X1,xR) ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f190,plain,
! [X2,X1] :
( aReductOfIn0(X2,sK16,xR)
| aElement0(X2)
| aElement0(X1)
| sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(sK17(X1),X1,xR) ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f194,plain,
! [X4] :
( iLess0(X4,sK16)
| ~ aElement0(sK18(X4))
| aElement0(X4) ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f198,plain,
! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,sK18(X4))
| sK18(X4) = X4
| iLess0(X4,sK16)
| aElement0(X4) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f200,plain,
! [X7,X4] :
( iLess0(X4,sK16)
| aReductOfIn0(X7,sK18(X4),xR)
| aElement0(X4) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f202,plain,
~ aElement0(sK16),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f205,definition,
( spl20_1
<=> aReductOfIn0(sK17(sK16),sK16,xR) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f207,plain,
( ~ aReductOfIn0(sK17(sK16),sK16,xR)
| spl20_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl20_2
<=> aElement0(sK16) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f211,plain,
( aElement0(sK16)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( ~ spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f188,f209,f205]) ).
fof(f219,plain,
( aElement0(sK17(sK16))
| ~ aReductOfIn0(sK17(sK17(sK16)),sK17(sK16),xR)
| spl20_1 ),
inference(resolution,[],[f189,f207]) ).
fof(f221,definition,
( spl20_4
<=> aReductOfIn0(sK17(sK17(sK16)),sK17(sK16),xR) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f223,plain,
( ~ aReductOfIn0(sK17(sK17(sK16)),sK17(sK16),xR)
| spl20_4 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl20_5
<=> aElement0(sK17(sK16)) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f226,plain,
( ~ aElement0(sK17(sK16))
| spl20_5 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( ~ spl20_4
| spl20_5
| spl20_1 ),
inference(avatar_split_clause,[],[f219,f205,f225,f221]) ).
fof(f231,plain,
( ! [X0] :
( aElement0(sK17(sK16))
| aElement0(X0)
| sdtmndtplgtdt0(sK17(sK16),xR,X0)
| ~ aReductOfIn0(sK17(X0),X0,xR) )
| spl20_1 ),
inference(resolution,[],[f190,f207]) ).
fof(f233,definition,
( spl20_6
<=> ! [X0] :
( aElement0(X0)
| ~ aReductOfIn0(sK17(X0),X0,xR)
| sdtmndtplgtdt0(sK17(sK16),xR,X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
fof(f234,plain,
( ! [X0] :
( sdtmndtplgtdt0(sK17(sK16),xR,X0)
| ~ aReductOfIn0(sK17(X0),X0,xR)
| aElement0(X0) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( spl20_6
| spl20_5
| spl20_1 ),
inference(avatar_split_clause,[],[f231,f205,f225,f233]) ).
fof(f255,plain,
! [X0,X1] :
( aElement0(X1)
| aReductOfIn0(X0,X1,xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f139,f183]) ).
fof(f256,plain,
! [X0] :
( aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f255,f202]) ).
fof(f257,plain,
( ~ aElement0(sK17(sK16))
| spl20_1 ),
inference(resolution,[],[f256,f207]) ).
fof(f258,plain,
( ~ spl20_5
| spl20_1 ),
inference(avatar_split_clause,[],[f257,f205,f225]) ).
fof(f264,plain,
( ~ aReductOfIn0(sK17(sK18(sK17(sK16))),sK18(sK17(sK16)),xR)
| aElement0(sK18(sK17(sK16)))
| sK17(sK16) = sK18(sK17(sK16))
| iLess0(sK17(sK16),sK16)
| aElement0(sK17(sK16))
| ~ spl20_6 ),
inference(resolution,[],[f234,f198]) ).
fof(f266,definition,
( spl20_7
<=> iLess0(sK17(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
fof(f267,plain,
( ~ iLess0(sK17(sK16),sK16)
| spl20_7 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f270,definition,
( spl20_8
<=> sK17(sK16) = sK18(sK17(sK16)) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
fof(f272,plain,
( sK17(sK16) = sK18(sK17(sK16))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl20_9
<=> aElement0(sK18(sK17(sK16))) ),
introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).
fof(f278,definition,
( spl20_10
<=> aReductOfIn0(sK17(sK18(sK17(sK16))),sK18(sK17(sK16)),xR) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
fof(f280,plain,
( ~ aReductOfIn0(sK17(sK18(sK17(sK16))),sK18(sK17(sK16)),xR)
| spl20_10 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f281,plain,
( spl20_5
| spl20_7
| spl20_8
| spl20_9
| ~ spl20_10
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f264,f233,f278,f274,f270,f266,f225]) ).
fof(f284,plain,
( ! [X0] :
( aReductOfIn0(X0,sK18(sK17(sK16)),xR)
| aElement0(sK17(sK16)) )
| spl20_7 ),
inference(resolution,[],[f267,f200]) ).
fof(f285,plain,
( ~ aElement0(sK18(sK17(sK16)))
| aElement0(sK17(sK16))
| spl20_7 ),
inference(resolution,[],[f267,f194]) ).
fof(f287,definition,
( spl20_11
<=> ! [X0] : aReductOfIn0(X0,sK18(sK17(sK16)),xR) ),
introduced(definition,[new_symbols(definition,[spl20_11])],[avatar_definition]) ).
fof(f288,plain,
( ! [X0] : aReductOfIn0(X0,sK18(sK17(sK16)),xR)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( spl20_5
| spl20_11
| spl20_7 ),
inference(avatar_split_clause,[],[f284,f266,f287,f225]) ).
fof(f304,plain,
( $false
| ~ spl20_2 ),
inference(resolution,[],[f211,f202]) ).
fof(f305,plain,
~ spl20_2,
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f320,plain,
( $false
| spl20_10
| ~ spl20_11 ),
inference(resolution,[],[f280,f288]) ).
fof(f321,plain,
( spl20_10
| ~ spl20_11 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f322,plain,
( spl20_5
| ~ spl20_9
| spl20_7 ),
inference(avatar_split_clause,[],[f285,f266,f274,f225]) ).
fof(f337,plain,
( ! [X0] :
( aReductOfIn0(sK17(sK16),X0,xR)
| aElement0(X0)
| ~ iLess0(sK17(sK16),X0) )
| spl20_5 ),
inference(resolution,[],[f184,f226]) ).
fof(f341,plain,
( aElement0(sK16)
| ~ iLess0(sK17(sK16),sK16)
| spl20_1
| spl20_5 ),
inference(resolution,[],[f337,f207]) ).
fof(f342,plain,
( ~ spl20_7
| spl20_2
| spl20_1
| spl20_5 ),
inference(avatar_split_clause,[],[f341,f225,f205,f209,f266]) ).
fof(f351,plain,
( ! [X0] : aReductOfIn0(X0,sK17(sK16),xR)
| ~ spl20_8
| ~ spl20_11 ),
inference(superposition,[],[f288,f272]) ).
fof(f360,plain,
( $false
| spl20_4
| ~ spl20_8
| ~ spl20_11 ),
inference(resolution,[],[f351,f223]) ).
fof(f365,plain,
( spl20_4
| ~ spl20_8
| ~ spl20_11 ),
inference(avatar_contradiction_clause,[],[f360]) ).
cnf(s1,plain,
( ~ spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f212]) ).
cnf(s3,plain,
( spl20_1
| ~ spl20_4
| spl20_5 ),
inference(sat_conversion,[],[f228]) ).
cnf(s4,plain,
( spl20_1
| spl20_5
| spl20_6 ),
inference(sat_conversion,[],[f235]) ).
cnf(s5,plain,
( spl20_1
| ~ spl20_5 ),
inference(sat_conversion,[],[f258]) ).
cnf(s6,plain,
( spl20_5
| ~ spl20_6
| spl20_7
| spl20_8
| spl20_9
| ~ spl20_10 ),
inference(sat_conversion,[],[f281]) ).
cnf(s7,plain,
( spl20_5
| spl20_7
| spl20_11 ),
inference(sat_conversion,[],[f289]) ).
cnf(s10,plain,
~ spl20_2,
inference(sat_conversion,[],[f305]) ).
cnf(s12,plain,
( spl20_10
| ~ spl20_11 ),
inference(sat_conversion,[],[f321]) ).
cnf(s13,plain,
( spl20_5
| spl20_7
| ~ spl20_9 ),
inference(sat_conversion,[],[f322]) ).
cnf(s15,plain,
( spl20_1
| spl20_2
| spl20_5
| ~ spl20_7 ),
inference(sat_conversion,[],[f342]) ).
cnf(s19,plain,
( spl20_4
| ~ spl20_8
| ~ spl20_11 ),
inference(sat_conversion,[],[f365]) ).
cnf(s21,plain,
~ spl20_1,
inference(rat,[],[s1,s10]) ).
cnf(s22,plain,
~ spl20_5,
inference(rat,[],[s5,s21]) ).
cnf(s23,plain,
~ spl20_4,
inference(rat,[],[s3,s22,s21]) ).
cnf(s24,plain,
~ spl20_7,
inference(rat,[],[s15,s21,s10,s22]) ).
cnf(s25,plain,
spl20_6,
inference(rat,[],[s4,s21,s22]) ).
cnf(s26,plain,
~ spl20_9,
inference(rat,[],[s13,s22,s24]) ).
cnf(s27,plain,
spl20_11,
inference(rat,[],[s7,s22,s24]) ).
cnf(s28,plain,
spl20_10,
inference(rat,[],[s12,s27]) ).
cnf(s29,plain,
~ spl20_8,
inference(rat,[],[s19,s23,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s6,s25,s26,s22,s24,s28,s29]) ).
fof(f366,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM013+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:45:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.27 % (2686082)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (2686093)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=566784868:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (2686088)% WARNING: option uhcvi not known.
% 0.20/0.27 % (2686093) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2686082-2686093"...
% 0.20/0.27 % (2686093)...printing done.
% 0.20/0.27 % (2686087)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1716639024_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (2686093)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2686093)------------------------------
% 0.20/0.27 % (2686093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2686093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2686093)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2686093)Termination reason: Refutation
% 0.20/0.27 % (2686093)Time elapsed: 0.005 s
% 0.20/0.27 % (2686093)Peak memory usage: 12 MB
% 0.20/0.27 % (2686093)Instructions burned: 11 (million)
% 0.20/0.27 % (2686082)Success in time 0.035 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------