TSTP Solution File: COM013+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 15:53:46 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 7 unt; 0 def)
% Number of atoms : 416 ( 31 equ)
% Maximal formula atoms : 46 ( 7 avg)
% Number of connectives : 553 ( 193 ~; 180 |; 158 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 137 ( 93 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f335,plain,
$false,
inference(subsumption_resolution,[],[f334,f165]) ).
fof(f165,plain,
aReductOfIn0(sK9(sK6),sK6,xR),
inference(subsumption_resolution,[],[f162,f118]) ).
fof(f118,plain,
aElement0(sK6),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( aElement0(sK6)
& ! [X1] :
( ~ iLess0(X1,sK6)
| ( sdtmndtasgtdt0(X1,xR,sK7(X1))
& ( sK7(X1) = X1
| ( ( ( aReductOfIn0(sK8(X1),X1,xR)
& aElement0(sK8(X1))
& sdtmndtplgtdt0(sK8(X1),xR,sK7(X1)) )
| aReductOfIn0(sK7(X1),X1,xR) )
& sdtmndtplgtdt0(X1,xR,sK7(X1)) ) )
& ! [X4] : ~ aReductOfIn0(X4,sK7(X1),xR)
& aNormalFormOfIn0(sK7(X1),X1,xR)
& aElement0(sK7(X1)) )
| ~ aElement0(X1) )
& ! [X5] :
( ( ~ aElement0(X5)
| aReductOfIn0(sK9(X5),X5,xR)
| ( ~ sdtmndtplgtdt0(sK6,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,sK6,xR)
| ~ aElement0(X7) )
& ~ sdtmndtasgtdt0(sK6,xR,X5)
& sK6 != X5
& ~ aReductOfIn0(X5,sK6,xR) ) )
& ~ aNormalFormOfIn0(X5,sK6,xR) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f64,f68,f67,f66,f65]) ).
fof(f65,plain,
( ? [X0] :
( aElement0(X0)
& ! [X1] :
( ~ iLess0(X1,X0)
| ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
| ~ aElement0(X1) )
& ! [X5] :
( ( ~ aElement0(X5)
| ? [X6] : aReductOfIn0(X6,X5,xR)
| ( ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X0,xR)
| ~ aElement0(X7) )
& ~ sdtmndtasgtdt0(X0,xR,X5)
& X0 != X5
& ~ aReductOfIn0(X5,X0,xR) ) )
& ~ aNormalFormOfIn0(X5,X0,xR) ) )
=> ( aElement0(sK6)
& ! [X1] :
( ~ iLess0(X1,sK6)
| ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
| ~ aElement0(X1) )
& ! [X5] :
( ( ~ aElement0(X5)
| ? [X6] : aReductOfIn0(X6,X5,xR)
| ( ~ sdtmndtplgtdt0(sK6,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,sK6,xR)
| ~ aElement0(X7) )
& ~ sdtmndtasgtdt0(sK6,xR,X5)
& sK6 != X5
& ~ aReductOfIn0(X5,sK6,xR) ) )
& ~ aNormalFormOfIn0(X5,sK6,xR) ) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X1] :
( ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X1,xR,sK7(X1))
& ( sK7(X1) = X1
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,sK7(X1)) )
| aReductOfIn0(sK7(X1),X1,xR) )
& sdtmndtplgtdt0(X1,xR,sK7(X1)) ) )
& ! [X4] : ~ aReductOfIn0(X4,sK7(X1),xR)
& aNormalFormOfIn0(sK7(X1),X1,xR)
& aElement0(sK7(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X1] :
( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,sK7(X1)) )
=> ( aReductOfIn0(sK8(X1),X1,xR)
& aElement0(sK8(X1))
& sdtmndtplgtdt0(sK8(X1),xR,sK7(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X5] :
( ? [X6] : aReductOfIn0(X6,X5,xR)
=> aReductOfIn0(sK9(X5),X5,xR) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0] :
( aElement0(X0)
& ! [X1] :
( ~ iLess0(X1,X0)
| ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
| ~ aElement0(X1) )
& ! [X5] :
( ( ~ aElement0(X5)
| ? [X6] : aReductOfIn0(X6,X5,xR)
| ( ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X0,xR)
| ~ aElement0(X7) )
& ~ sdtmndtasgtdt0(X0,xR,X5)
& X0 != X5
& ~ aReductOfIn0(X5,X0,xR) ) )
& ~ aNormalFormOfIn0(X5,X0,xR) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X0] :
( aElement0(X0)
& ! [X1] :
( ~ iLess0(X1,X0)
| ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
| ~ aElement0(X1) )
& ! [X5] :
( ( ~ aElement0(X5)
| ? [X7] : aReductOfIn0(X7,X5,xR)
| ( ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X0,xR)
| ~ aElement0(X6) )
& ~ sdtmndtasgtdt0(X0,xR,X5)
& X0 != X5
& ~ aReductOfIn0(X5,X0,xR) ) )
& ~ aNormalFormOfIn0(X5,X0,xR) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0] :
( ! [X5] :
( ( ~ aElement0(X5)
| ? [X7] : aReductOfIn0(X7,X5,xR)
| ( ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X0,xR)
| ~ aElement0(X6) )
& ~ sdtmndtasgtdt0(X0,xR,X5)
& X0 != X5
& ~ aReductOfIn0(X5,X0,xR) ) )
& ~ aNormalFormOfIn0(X5,X0,xR) )
& ! [X1] :
( ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ! [X4] : ~ aReductOfIn0(X4,X2,xR)
& aNormalFormOfIn0(X2,X1,xR)
& aElement0(X2) )
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ~ ? [X4] : aReductOfIn0(X4,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X5] :
( aNormalFormOfIn0(X5,X0,xR)
| ( ~ ? [X7] : aReductOfIn0(X7,X5,xR)
& aElement0(X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aElement0(X6)
& aReductOfIn0(X6,X0,xR) )
| X0 = X5
| aReductOfIn0(X5,X0,xR)
| sdtmndtasgtdt0(X0,xR,X5)
| sdtmndtplgtdt0(X0,xR,X5) ) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X1] :
( aNormalFormOfIn0(X1,X0,xR)
| ( ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( aReductOfIn0(X2,X0,xR)
& aElement0(X2)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtasgtdt0(X0,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR)
& aElement0(X1) ) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aElement0(X2)
& sdtmndtasgtdt0(X1,xR,X2)
& ( X1 = X2
| ( ( ? [X3] :
( aReductOfIn0(X3,X1,xR)
& aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2) )
| aReductOfIn0(X2,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& aNormalFormOfIn0(X2,X1,xR) ) ) )
=> ? [X1] :
( aNormalFormOfIn0(X1,X0,xR)
| ( ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( aReductOfIn0(X2,X0,xR)
& aElement0(X2)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtasgtdt0(X0,xR,X1) )
& ~ ? [X2] : aReductOfIn0(X2,X1,xR)
& aElement0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f162,plain,
( aReductOfIn0(sK9(sK6),sK6,xR)
| ~ aElement0(sK6) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X5] :
( ~ aElement0(X5)
| aReductOfIn0(sK9(X5),X5,xR)
| sK6 != X5 ),
inference(cnf_transformation,[],[f69]) ).
fof(f334,plain,
~ aReductOfIn0(sK9(sK6),sK6,xR),
inference(subsumption_resolution,[],[f330,f320]) ).
fof(f320,plain,
aElement0(sK9(sK6)),
inference(subsumption_resolution,[],[f317,f118]) ).
fof(f317,plain,
( aElement0(sK9(sK6))
| ~ aElement0(sK6) ),
inference(resolution,[],[f316,f165]) ).
fof(f316,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,X1,xR)
| aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f127,f123]) ).
fof(f123,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( aRewritingSystem0(xR)
& isTerminating0(xR)
& ! [X0,X1] :
( ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ aReductOfIn0(X1,X0,xR) )
| iLess0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( aRewritingSystem0(xR)
& isTerminating0(xR)
& ! [X1,X0] :
( ( ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ aReductOfIn0(X0,X1,xR) )
| iLess0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
( isTerminating0(xR)
& aRewritingSystem0(xR)
& ! [X1,X0] :
( iLess0(X0,X1)
| ( ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ aReductOfIn0(X0,X1,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
( isTerminating0(xR)
& aRewritingSystem0(xR)
& ! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( aReductOfIn0(X0,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,X0) )
| sdtmndtplgtdt0(X1,xR,X0) )
=> iLess0(X0,X1) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
( isTerminating0(xR)
& ! [X1,X0] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| aReductOfIn0(X1,X0,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& sdtmndtplgtdt0(X2,xR,X1) ) )
=> iLess0(X1,X0) ) )
& aRewritingSystem0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__587) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| aElement0(X2)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ! [X2] :
( ~ aReductOfIn0(X2,X1,X0)
| aElement0(X2) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ~ aElement0(X0)
| ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) )
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f3]) ).
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(f330,plain,
( ~ aElement0(sK9(sK6))
| ~ aReductOfIn0(sK9(sK6),sK6,xR) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
( ~ aElement0(sK9(sK6))
| ~ aReductOfIn0(sK9(sK6),sK6,xR)
| ~ aReductOfIn0(sK9(sK6),sK6,xR) ),
inference(superposition,[],[f244,f321]) ).
fof(f321,plain,
sK9(sK6) = sK7(sK9(sK6)),
inference(resolution,[],[f320,f257]) ).
fof(f257,plain,
( ~ aElement0(sK9(sK6))
| sK9(sK6) = sK7(sK9(sK6)) ),
inference(resolution,[],[f253,f165]) ).
fof(f253,plain,
! [X1] :
( ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(X1)
| sK7(X1) = X1 ),
inference(subsumption_resolution,[],[f252,f178]) ).
fof(f178,plain,
! [X2,X1] :
( ~ aReductOfIn0(X2,sK7(X1),xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,sK6,xR) ),
inference(subsumption_resolution,[],[f173,f118]) ).
fof(f173,plain,
! [X2,X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X2,sK7(X1),xR)
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(sK6) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X2,X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X2,sK7(X1),xR)
| ~ aElement0(X1)
| ~ aElement0(sK6)
| ~ aReductOfIn0(X1,sK6,xR) ),
inference(resolution,[],[f119,f112]) ).
fof(f112,plain,
! [X1,X4] :
( ~ iLess0(X1,sK6)
| ~ aReductOfIn0(X4,sK7(X1),xR)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
! [X0,X1] :
( iLess0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,X0,xR) ),
inference(cnf_transformation,[],[f70]) ).
fof(f252,plain,
! [X1] :
( sK7(X1) = X1
| aReductOfIn0(sK9(sK7(X1)),sK7(X1),xR)
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f251,f179]) ).
fof(f179,plain,
! [X3] :
( ~ aReductOfIn0(X3,sK6,xR)
| ~ aElement0(X3)
| aElement0(sK7(X3)) ),
inference(subsumption_resolution,[],[f172,f118]) ).
fof(f172,plain,
! [X3] :
( ~ aElement0(sK6)
| aElement0(sK7(X3))
| ~ aReductOfIn0(X3,sK6,xR)
| ~ aElement0(X3) ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f170,plain,
! [X3] :
( ~ aElement0(sK6)
| ~ aReductOfIn0(X3,sK6,xR)
| aElement0(sK7(X3))
| ~ aElement0(X3)
| ~ aElement0(X3) ),
inference(resolution,[],[f119,f110]) ).
fof(f110,plain,
! [X1] :
( ~ iLess0(X1,sK6)
| aElement0(sK7(X1))
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f251,plain,
! [X1] :
( ~ aElement0(sK7(X1))
| sK7(X1) = X1
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,sK6,xR)
| aReductOfIn0(sK9(sK7(X1)),sK7(X1),xR) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
! [X1] :
( ~ aElement0(X1)
| aReductOfIn0(sK9(sK7(X1)),sK7(X1),xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(sK7(X1))
| sK7(X1) = X1 ),
inference(resolution,[],[f197,f108]) ).
fof(f108,plain,
! [X7,X5] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| aReductOfIn0(sK9(X5),X5,xR)
| ~ aElement0(X7)
| ~ aElement0(X5)
| ~ aReductOfIn0(X7,sK6,xR) ),
inference(cnf_transformation,[],[f69]) ).
fof(f197,plain,
! [X1] :
( sdtmndtplgtdt0(X1,xR,sK7(X1))
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,sK6,xR)
| sK7(X1) = X1 ),
inference(subsumption_resolution,[],[f194,f118]) ).
fof(f194,plain,
! [X1] :
( sdtmndtplgtdt0(X1,xR,sK7(X1))
| ~ aElement0(sK6)
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(X1)
| sK7(X1) = X1 ),
inference(duplicate_literal_removal,[],[f193]) ).
fof(f193,plain,
! [X1] :
( ~ aElement0(X1)
| sK7(X1) = X1
| ~ aElement0(sK6)
| sdtmndtplgtdt0(X1,xR,sK7(X1))
| ~ aReductOfIn0(X1,sK6,xR)
| ~ aElement0(X1) ),
inference(resolution,[],[f113,f119]) ).
fof(f113,plain,
! [X1] :
( ~ iLess0(X1,sK6)
| sdtmndtplgtdt0(X1,xR,sK7(X1))
| ~ aElement0(X1)
| sK7(X1) = X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f244,plain,
! [X0] :
( ~ aReductOfIn0(sK7(X0),sK6,xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK6,xR) ),
inference(subsumption_resolution,[],[f243,f179]) ).
fof(f243,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK6,xR)
| ~ aReductOfIn0(sK7(X0),sK6,xR)
| ~ aElement0(sK7(X0)) ),
inference(resolution,[],[f178,f105]) ).
fof(f105,plain,
! [X5] :
( aReductOfIn0(sK9(X5),X5,xR)
| ~ aElement0(X5)
| ~ aReductOfIn0(X5,sK6,xR) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.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 : Mon Aug 29 17:01:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (15282)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (15280)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (15280)First to succeed.
% 0.20/0.54 % (15262)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15280)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (15280)------------------------------
% 0.20/0.54 % (15280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15280)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (15280)Memory used [KB]: 1151
% 0.20/0.54 % (15280)Time elapsed: 0.128 s
% 0.20/0.54 % (15280)Instructions burned: 13 (million)
% 0.20/0.54 % (15280)------------------------------
% 0.20/0.54 % (15280)------------------------------
% 0.20/0.54 % (15256)Success in time 0.192 s
%------------------------------------------------------------------------------