%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM013+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:39:23 AM UTC 2026
% Result : Theorem 2.11s 0.74s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 133 ( 18 unt; 11 def)
% Number of atoms : 731 ( 22 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 1015 ( 417 ~; 401 |; 156 &)
% ( 20 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 12 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 239 ( 0 sgn 198 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtmndtasgtdt0(X0,X1,X2)
& sdtmndtasgtdt0(X2,X1,X3) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f13,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
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/sandbox2/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/sandbox2/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(f24,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f24]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(flattening,[],[f30]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f38]) ).
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(f50,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X0,X1)
& sdtmndtplgtdt0(X4,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ( aElement0(sK4(X0,X1,X2))
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f52]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f29]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f54]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK15(X1,X2),X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X1,X2))],[f69]) ).
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] :
( ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| aElement0(X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f78,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f31]) ).
fof(f116,plain,
! [X2,X0,X1] :
( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK15(X1,X2),X2,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f70]) ).
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] :
( ~ iLess0(X4,sK16)
| ~ aReductOfIn0(X7,sK18(X4),xR)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
! [X4] :
( ~ iLess0(X4,sK16)
| sdtmndtasgtdt0(X4,xR,sK18(X4))
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X4] :
( ~ iLess0(X4,sK16)
| aElement0(sK18(X4))
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f131,plain,
! [X1] : ~ aNormalFormOfIn0(X1,sK16,xR),
inference(cnf_transformation,[],[f72]) ).
fof(f132,plain,
! [X1] :
( ~ sdtmndtasgtdt0(sK16,xR,X1)
| ~ aElement0(X1)
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(cnf_transformation,[],[f72]) ).
fof(f137,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f82]) ).
fof(f147,plain,
! [X2,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X1,X2) ),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f152,definition,
( spl21_2
<=> aElement0(sK16) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f153,plain,
( ~ aElement0(sK16)
| spl21_2 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( $false
| spl21_2 ),
inference(resolution,[],[f153,f122]) ).
fof(f156,plain,
spl21_2,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f166,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f147,f121]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| aElement0(X0) ),
inference(resolution,[],[f73,f121]) ).
fof(f214,plain,
! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sK18(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f120,f125]) ).
fof(f215,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| ~ aReductOfIn0(X1,sK18(X0),xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f120,f124]) ).
fof(f216,plain,
! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| aElement0(sK18(X0))
| ~ aElement0(X0) ),
inference(resolution,[],[f120,f130]) ).
fof(f219,plain,
! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| aElement0(sK18(X0)) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f220,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| ~ aReductOfIn0(X1,sK18(X0),xR) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f221,plain,
! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sK18(X0)) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f224,definition,
( spl21_11
<=> ! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| aElement0(sK18(X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f225,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| aElement0(sK18(X0))
| ~ aElement0(X0) )
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ spl21_2
| spl21_11 ),
inference(avatar_split_clause,[],[f219,f224,f152]) ).
fof(f228,definition,
( spl21_12
<=> ! [X0,X1] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aReductOfIn0(X1,sK18(X0),xR)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f229,plain,
( ! [X0,X1] :
( ~ aReductOfIn0(X1,sK18(X0),xR)
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0) )
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f230,plain,
( ~ spl21_2
| spl21_12 ),
inference(avatar_split_clause,[],[f220,f228,f152]) ).
fof(f232,definition,
( spl21_13
<=> ! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| sdtmndtasgtdt0(X0,xR,sK18(X0))
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK18(X0))
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( ~ spl21_2
| spl21_13 ),
inference(avatar_split_clause,[],[f221,f232,f152]) ).
fof(f261,definition,
( spl21_15
<=> aRewritingSystem0(xR) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
fof(f262,plain,
( ~ aRewritingSystem0(xR)
| spl21_15 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f267,plain,
( $false
| spl21_15 ),
inference(resolution,[],[f262,f121]) ).
fof(f268,plain,
spl21_15,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f274,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(resolution,[],[f81,f78]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f276,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,X0,xR) ),
inference(resolution,[],[f275,f121]) ).
fof(f1391,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(resolution,[],[f83,f121]) ).
fof(f1658,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ aElement0(sK16)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f116,f131]) ).
fof(f1666,definition,
( spl21_169
<=> ! [X0] :
( ~ aElement0(X0)
| aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_169])],[avatar_definition]) ).
fof(f1667,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK16,xR,X0)
| aReductOfIn0(sK15(xR,X0),X0,xR)
| ~ aElement0(X0) )
| ~ spl21_169 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1668,plain,
( ~ spl21_15
| ~ spl21_2
| spl21_169 ),
inference(avatar_split_clause,[],[f1658,f1666,f152,f261]) ).
fof(f1669,plain,
( aReductOfIn0(sK15(xR,sK16),sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(sK16)
| ~ spl21_169 ),
inference(resolution,[],[f1667,f166]) ).
fof(f1676,plain,
( aReductOfIn0(sK15(xR,sK16),sK16,xR)
| ~ aElement0(sK16)
| ~ spl21_169 ),
inference(duplicate_literal_removal,[],[f1669]) ).
fof(f1682,definition,
( spl21_171
<=> aReductOfIn0(sK15(xR,sK16),sK16,xR) ),
introduced(definition,[new_symbols(definition,[spl21_171])],[avatar_definition]) ).
fof(f1683,plain,
( aReductOfIn0(sK15(xR,sK16),sK16,xR)
| ~ spl21_171 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f1684,plain,
( ~ spl21_2
| spl21_171
| ~ spl21_169 ),
inference(avatar_split_clause,[],[f1676,f1666,f1682,f152]) ).
fof(f1686,plain,
( aElement0(sK18(sK15(xR,sK16)))
| ~ aElement0(sK15(xR,sK16))
| ~ spl21_11
| ~ spl21_171 ),
inference(resolution,[],[f1683,f225]) ).
fof(f1693,plain,
( ~ aElement0(sK16)
| aElement0(sK15(xR,sK16))
| ~ spl21_171 ),
inference(resolution,[],[f1683,f169]) ).
fof(f1695,definition,
( spl21_172
<=> aElement0(sK15(xR,sK16)) ),
introduced(definition,[new_symbols(definition,[spl21_172])],[avatar_definition]) ).
fof(f1697,plain,
( spl21_172
| ~ spl21_2
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1693,f1682,f152,f1695]) ).
fof(f1720,definition,
( spl21_178
<=> aElement0(sK18(sK15(xR,sK16))) ),
introduced(definition,[new_symbols(definition,[spl21_178])],[avatar_definition]) ).
fof(f1722,plain,
( ~ spl21_172
| spl21_178
| ~ spl21_11
| ~ spl21_171 ),
inference(avatar_split_clause,[],[f1686,f1682,f224,f1720,f1695]) ).
fof(f1907,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK16)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X1)
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(resolution,[],[f1391,f132]) ).
fof(f1908,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK16)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| aReductOfIn0(sK17(X1),X1,xR) ),
inference(duplicate_literal_removal,[],[f1907]) ).
fof(f1911,definition,
( spl21_204
<=> ! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| aReductOfIn0(sK17(X1),X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_204])],[avatar_definition]) ).
fof(f1912,plain,
( ! [X0,X1] :
( aReductOfIn0(sK17(X1),X1,xR)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0) )
| ~ spl21_204 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f1913,plain,
( ~ spl21_2
| spl21_204 ),
inference(avatar_split_clause,[],[f1908,f1911,f152]) ).
fof(f1952,plain,
( ! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,sK18(X1))
| ~ aElement0(sK18(X1))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aReductOfIn0(X1,sK16,xR)
| ~ aElement0(X1) )
| ~ spl21_12
| ~ spl21_204 ),
inference(resolution,[],[f1912,f229]) ).
fof(f2058,plain,
( ! [X0] :
( ~ aElement0(sK18(X0))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0) )
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204 ),
inference(resolution,[],[f1952,f233]) ).
fof(f2065,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK16,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK18(X0))
| ~ aReductOfIn0(X0,sK16,xR) )
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204 ),
inference(duplicate_literal_removal,[],[f2058]) ).
fof(f2747,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK18(X0))
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK16,xR) )
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204 ),
inference(resolution,[],[f2065,f276]) ).
fof(f2748,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK18(X0))
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK16) )
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204 ),
inference(duplicate_literal_removal,[],[f2747]) ).
fof(f2752,definition,
( spl21_301
<=> ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(sK18(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_301])],[avatar_definition]) ).
fof(f2753,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK16,xR)
| ~ aElement0(X0)
| ~ aElement0(sK18(X0)) )
| ~ spl21_301 ),
inference(avatar_component_clause,[],[f2752]) ).
fof(f2754,plain,
( ~ spl21_2
| spl21_301
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204 ),
inference(avatar_split_clause,[],[f2748,f1911,f232,f228,f2752,f152]) ).
fof(f2787,plain,
( ~ aElement0(sK15(xR,sK16))
| ~ aElement0(sK18(sK15(xR,sK16)))
| ~ spl21_171
| ~ spl21_301 ),
inference(resolution,[],[f2753,f1683]) ).
fof(f2792,plain,
( ~ spl21_178
| ~ spl21_172
| ~ spl21_171
| ~ spl21_301 ),
inference(avatar_split_clause,[],[f2787,f2752,f1682,f1695,f1720]) ).
cnf(s2,plain,
spl21_2,
inference(sat_conversion,[],[f156]) ).
cnf(s12,plain,
( ~ spl21_2
| spl21_11 ),
inference(sat_conversion,[],[f226]) ).
cnf(s13,plain,
( ~ spl21_2
| spl21_12 ),
inference(sat_conversion,[],[f230]) ).
cnf(s14,plain,
( ~ spl21_2
| spl21_13 ),
inference(sat_conversion,[],[f234]) ).
cnf(s18,plain,
spl21_15,
inference(sat_conversion,[],[f268]) ).
cnf(s201,plain,
( ~ spl21_2
| ~ spl21_15
| spl21_169 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s203,plain,
( ~ spl21_2
| ~ spl21_169
| spl21_171 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s204,plain,
( ~ spl21_2
| ~ spl21_171
| spl21_172 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s210,plain,
( ~ spl21_11
| ~ spl21_171
| ~ spl21_172
| spl21_178 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s236,plain,
( ~ spl21_2
| spl21_204 ),
inference(sat_conversion,[],[f1913]) ).
cnf(s376,plain,
( ~ spl21_2
| ~ spl21_12
| ~ spl21_13
| ~ spl21_204
| spl21_301 ),
inference(sat_conversion,[],[f2754]) ).
cnf(s382,plain,
( ~ spl21_171
| ~ spl21_172
| ~ spl21_178
| ~ spl21_301 ),
inference(sat_conversion,[],[f2792]) ).
cnf(s412,plain,
spl21_204,
inference(rat,[],[s236,s2]) ).
cnf(s413,plain,
spl21_169,
inference(rat,[],[s201,s18,s2]) ).
cnf(s430,plain,
spl21_13,
inference(rat,[],[s14,s2]) ).
cnf(s431,plain,
spl21_12,
inference(rat,[],[s13,s2]) ).
cnf(s432,plain,
spl21_11,
inference(rat,[],[s12,s2]) ).
cnf(s438,plain,
spl21_171,
inference(rat,[],[s203,s2,s413]) ).
cnf(s471,plain,
spl21_301,
inference(rat,[],[s376,s430,s412,s2,s431]) ).
cnf(s493,plain,
spl21_172,
inference(rat,[],[s204,s2,s438]) ).
cnf(s545,plain,
~ spl21_178,
inference(rat,[],[s382,s471,s438,s493]) ).
cnf(s547,plain,
$false,
inference(rat,[],[s210,s438,s432,s545,s493]) ).
fof(f2798,plain,
$false,
inference(avatar_sat_refutation,[],[s547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM013+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:50:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.11/0.74 % (4066067)Detected formulas, will run a generic FOF schedule.
% 2.11/0.74 % (4066078)dis-21_1_sil=8000:lcm=predicate:random_seed=4183020033:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.11/0.74 % (4066078)First to succeed.
% 2.11/0.74 % (4066078)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4066067"
% 2.11/0.74 % (4066077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1494445330:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.11/0.74 % (4066073)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3649527995:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.11/0.74 % (4066074)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2399972254:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.11/0.74 % (4066075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1562694774:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.11/0.74 % (4066072)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2416162342:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.11/0.74 % (4066076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=686192842:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.11/0.74 % (4066076)Also succeeded, but the first one will report.
% 2.11/0.74 % (4066077)Also succeeded, but the first one will report.
% 2.11/0.74 % (4066075)Also succeeded, but the first one will report.
% 2.11/0.74 % (4066078)Refutation found. Thanks to Tanya!
% 2.11/0.74 % SZS status Theorem for theBenchmark
% 2.11/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/0.94 % (4066078)------------------------------
% 2.61/0.94 % (4066078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/0.94 % (4066078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.94 % (4066078)CaDiCaL version: 2.1.3
% 2.61/0.94 % (4066078)Termination reason: Refutation
% 2.61/0.94 % (4066078)Time elapsed: 0.026 s
% 2.61/0.94 % (4066078)Peak memory usage: 91 MB
% 2.61/0.94 % (4066078)Instructions burned: 69 (million)
% 2.61/0.94 % (4066078)------------------------------
% 2.61/0.94 % (4066078)------------------------------
% 2.61/0.94 % (4066067)Success in time 0.314 s
% 2.61/0.94 % Vampire exiting
%------------------------------------------------------------------------------