TSTP Solution File: COM016+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM016+1 : 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_uns --cores 0 -t %d %s
% Computer : n013.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 15:53:11 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 80 ( 9 unt; 0 def)
% Number of atoms : 362 ( 14 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 481 ( 199 ~; 214 |; 47 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 83 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1322,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f167,f169,f242,f253,f345,f1043,f1066,f1080,f1151,f1321]) ).
fof(f1321,plain,
( ~ spl14_126
| spl14_28
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f1320,f342,f338,f1137]) ).
fof(f1137,plain,
( spl14_126
<=> sdtmndtplgtdt0(xa,xR,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
fof(f338,plain,
( spl14_28
<=> sdtmndtplgtdt0(xa,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f342,plain,
( spl14_29
<=> xa = xb ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f1320,plain,
( ~ sdtmndtplgtdt0(xa,xR,xa)
| spl14_28
| ~ spl14_29 ),
inference(forward_demodulation,[],[f339,f344]) ).
fof(f344,plain,
( xa = xb
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f339,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| spl14_28 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f1151,plain,
( spl14_126
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f1103,f342,f1137]) ).
fof(f1103,plain,
( sdtmndtplgtdt0(xa,xR,xa)
| ~ spl14_29 ),
inference(backward_demodulation,[],[f134,f344]) ).
fof(f134,plain,
sdtmndtplgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(f1080,plain,
( spl14_3
| ~ spl14_15
| ~ spl14_1
| ~ spl14_28
| ~ spl14_2
| spl14_119 ),
inference(avatar_split_clause,[],[f1078,f1063,f154,f338,f150,f239,f158]) ).
fof(f158,plain,
( spl14_3
<=> aReductOfIn0(xb,xa,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f239,plain,
( spl14_15
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f150,plain,
( spl14_1
<=> aRewritingSystem0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f154,plain,
( spl14_2
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f1063,plain,
( spl14_119
<=> aElement0(sK9(xa,xb,xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f1078,plain,
( ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| aReductOfIn0(xb,xa,xR)
| spl14_119 ),
inference(resolution,[],[f1065,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( aElement0(sK9(X0,X1,X2))
| ~ aRewritingSystem0(X2)
| aReductOfIn0(X1,X0,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X0,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X2,X1)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X0,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,X2) ) )
& ( ( aReductOfIn0(sK9(X0,X1,X2),X0,X2)
& sdtmndtplgtdt0(sK9(X0,X1,X2),X2,X1)
& aElement0(sK9(X0,X1,X2)) )
| aReductOfIn0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X4] :
( aReductOfIn0(X4,X0,X2)
& sdtmndtplgtdt0(X4,X2,X1)
& aElement0(X4) )
=> ( aReductOfIn0(sK9(X0,X1,X2),X0,X2)
& sdtmndtplgtdt0(sK9(X0,X1,X2),X2,X1)
& aElement0(sK9(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X2,X1)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X0,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,X2) ) )
& ( ? [X4] :
( aReductOfIn0(X4,X0,X2)
& sdtmndtplgtdt0(X4,X2,X1)
& aElement0(X4) )
| aReductOfIn0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X2,X1)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X0,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,X2) ) )
& ( ? [X3] :
( aReductOfIn0(X3,X0,X2)
& sdtmndtplgtdt0(X3,X2,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X2,X1)
| ( ! [X3] :
( ~ aReductOfIn0(X3,X0,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,X2) ) )
& ( ? [X3] :
( aReductOfIn0(X3,X0,X2)
& sdtmndtplgtdt0(X3,X2,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X0,X2)
| ~ sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X2,X1)
<=> ( ? [X3] :
( aReductOfIn0(X3,X0,X2)
& sdtmndtplgtdt0(X3,X2,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X0,X2) ) )
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X2,X1)
<=> ( ? [X3] :
( aReductOfIn0(X3,X0,X2)
& sdtmndtplgtdt0(X3,X2,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X0,X2) ) )
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( aElement0(X1)
& aElement0(X0)
& aRewritingSystem0(X2) )
=> ( sdtmndtplgtdt0(X0,X2,X1)
<=> ( ? [X3] :
( aReductOfIn0(X3,X0,X2)
& sdtmndtplgtdt0(X3,X2,X1)
& aElement0(X3) )
| aReductOfIn0(X1,X0,X2) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( ( aElement0(X2)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(f1065,plain,
( ~ aElement0(sK9(xa,xb,xR))
| spl14_119 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1066,plain,
( ~ spl14_119
| ~ spl14_1
| ~ spl14_28
| ~ spl14_2
| spl14_3
| ~ spl14_15
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1061,f1041,f239,f158,f154,f338,f150,f1063]) ).
fof(f1041,plain,
( spl14_116
<=> ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| ~ aElement0(sK9(X0,xb,xR))
| aReductOfIn0(xb,X0,xR)
| ~ aReductOfIn0(sK9(X0,xb,xR),xa,xR) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f1061,plain,
( ~ aElement0(xa)
| aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xa,xb,xR))
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1060]) ).
fof(f1060,plain,
( ~ aRewritingSystem0(xR)
| aReductOfIn0(xb,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aElement0(xa)
| ~ aElement0(sK9(xa,xb,xR))
| aReductOfIn0(xb,xa,xR)
| ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ spl14_116 ),
inference(resolution,[],[f1042,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK9(X0,X1,X2),X0,X2)
| aReductOfIn0(X1,X0,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f1042,plain,
( ! [X0] :
( ~ aReductOfIn0(sK9(X0,xb,xR),xa,xR)
| ~ aElement0(sK9(X0,xb,xR))
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| aReductOfIn0(xb,X0,xR) )
| ~ spl14_116 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1043,plain,
( ~ spl14_2
| ~ spl14_1
| spl14_116 ),
inference(avatar_split_clause,[],[f1039,f1041,f150,f154]) ).
fof(f1039,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ aReductOfIn0(sK9(X0,xb,xR),xa,xR)
| aReductOfIn0(xb,X0,xR)
| ~ aElement0(xb)
| ~ aElement0(sK9(X0,xb,xR))
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f1028]) ).
fof(f1028,plain,
! [X0] :
( aReductOfIn0(xb,X0,xR)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ aReductOfIn0(sK9(X0,xb,xR),xa,xR)
| ~ aElement0(sK9(X0,xb,xR))
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(X0,xb,xR)) ),
inference(resolution,[],[f482,f102]) ).
fof(f102,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xb)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xb) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( aReductOfIn0(X0,xa,xR)
& aElement0(X0)
& sdtmndtasgtdt0(X0,xR,xb) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
? [X0] :
( aReductOfIn0(X0,xa,xR)
& aElement0(X0)
& sdtmndtasgtdt0(X0,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f482,plain,
! [X11,X12,X13] :
( sdtmndtasgtdt0(sK9(X12,X13,X11),X11,X13)
| ~ aElement0(X12)
| aReductOfIn0(X13,X12,X11)
| ~ aRewritingSystem0(X11)
| ~ aElement0(sK9(X12,X13,X11))
| ~ sdtmndtplgtdt0(X12,X11,X13)
| ~ aElement0(X13) ),
inference(duplicate_literal_removal,[],[f478]) ).
fof(f478,plain,
! [X11,X12,X13] :
( sdtmndtasgtdt0(sK9(X12,X13,X11),X11,X13)
| ~ aElement0(X13)
| ~ sdtmndtplgtdt0(X12,X11,X13)
| ~ aRewritingSystem0(X11)
| ~ aElement0(X12)
| ~ aRewritingSystem0(X11)
| ~ aElement0(sK9(X12,X13,X11))
| ~ aElement0(X13)
| aReductOfIn0(X13,X12,X11) ),
inference(resolution,[],[f121,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X1,X0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ( ( sdtmndtasgtdt0(X1,X0,X2)
| ( X1 != X2
& ~ sdtmndtplgtdt0(X1,X0,X2) ) )
& ( X1 = X2
| sdtmndtplgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] :
( ( aElement0(X0)
& aElement0(X2)
& aRewritingSystem0(X1) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(f121,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(sK9(X0,X1,X2),X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0)
| aReductOfIn0(X1,X0,X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X0,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f345,plain,
( spl14_28
| ~ spl14_15
| ~ spl14_1
| ~ spl14_2
| spl14_29
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f336,f235,f342,f154,f150,f239,f338]) ).
fof(f235,plain,
( spl14_14
<=> sdtmndtasgtdt0(xa,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f336,plain,
( xa = xb
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa)
| sdtmndtplgtdt0(xa,xR,xb)
| ~ spl14_14 ),
inference(resolution,[],[f237,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| X1 = X2
| sdtmndtplgtdt0(X1,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f237,plain,
( sdtmndtasgtdt0(xa,xR,xb)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f253,plain,
spl14_15,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl14_15 ),
inference(resolution,[],[f241,f136]) ).
fof(f136,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f241,plain,
( ~ aElement0(xa)
| spl14_15 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( spl14_14
| ~ spl14_1
| ~ spl14_15
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f230,f154,f239,f150,f235]) ).
fof(f230,plain,
( ~ aElement0(xb)
| ~ aElement0(xa)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(xa,xR,xb) ),
inference(resolution,[],[f105,f134]) ).
fof(f169,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| spl14_2 ),
inference(resolution,[],[f156,f137]) ).
fof(f137,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f156,plain,
( ~ aElement0(xb)
| spl14_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f167,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| spl14_1 ),
inference(resolution,[],[f152,f103]) ).
fof(f103,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(f152,plain,
( ~ aRewritingSystem0(xR)
| spl14_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f161,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f148,f158,f154,f150]) ).
fof(f148,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
( ~ aRewritingSystem0(xR)
| ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb)
| ~ aElement0(xb) ),
inference(resolution,[],[f140,f102]) ).
fof(f140,plain,
! [X2,X0] :
( sdtmndtasgtdt0(X2,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2) ),
inference(duplicate_literal_removal,[],[f139]) ).
fof(f139,plain,
! [X2,X0] :
( ~ aElement0(X2)
| sdtmndtasgtdt0(X2,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X1,X0,X2)
| X1 != X2
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM016+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 17:02:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (29837)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (29845)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (29845)Instruction limit reached!
% 0.19/0.50 % (29845)------------------------------
% 0.19/0.50 % (29845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29853)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (29845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29845)Termination reason: Unknown
% 0.19/0.51 % (29845)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (29845)Memory used [KB]: 6012
% 0.19/0.51 % (29845)Time elapsed: 0.003 s
% 0.19/0.51 % (29845)Instructions burned: 3 (million)
% 0.19/0.51 % (29845)------------------------------
% 0.19/0.51 % (29845)------------------------------
% 0.19/0.51 % (29854)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (29846)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (29833)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (29833)Instruction limit reached!
% 0.19/0.52 % (29833)------------------------------
% 0.19/0.52 % (29833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29833)Termination reason: Unknown
% 0.19/0.52 % (29833)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (29833)Memory used [KB]: 6012
% 0.19/0.52 % (29833)Time elapsed: 0.003 s
% 0.19/0.52 % (29833)Instructions burned: 4 (million)
% 0.19/0.52 % (29833)------------------------------
% 0.19/0.52 % (29833)------------------------------
% 0.19/0.52 % (29849)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (29849)Instruction limit reached!
% 0.19/0.52 % (29849)------------------------------
% 0.19/0.52 % (29849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29849)Termination reason: Unknown
% 0.19/0.52 % (29849)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (29849)Memory used [KB]: 1535
% 0.19/0.52 % (29849)Time elapsed: 0.002 s
% 0.19/0.52 % (29849)Instructions burned: 3 (million)
% 0.19/0.52 % (29849)------------------------------
% 0.19/0.52 % (29849)------------------------------
% 0.19/0.53 % (29831)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (29835)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (29832)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (29857)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (29834)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (29843)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (29844)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (29846)Instruction limit reached!
% 0.19/0.53 % (29846)------------------------------
% 0.19/0.53 % (29846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29847)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (29841)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54 % (29848)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (29846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29846)Termination reason: Unknown
% 0.19/0.54 % (29846)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (29846)Memory used [KB]: 6140
% 0.19/0.54 % (29846)Time elapsed: 0.083 s
% 0.19/0.54 % (29846)Instructions burned: 7 (million)
% 0.19/0.54 % (29846)------------------------------
% 0.19/0.54 % (29846)------------------------------
% 0.19/0.54 % (29850)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (29838)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (29860)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.54 % (29859)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (29853)First to succeed.
% 0.19/0.54 % (29839)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54 % (29853)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (29853)------------------------------
% 0.19/0.54 % (29853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (29853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29853)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (29853)Memory used [KB]: 6908
% 0.19/0.54 % (29853)Time elapsed: 0.139 s
% 0.19/0.54 % (29853)Instructions burned: 22 (million)
% 0.19/0.54 % (29853)------------------------------
% 0.19/0.54 % (29853)------------------------------
% 0.19/0.54 % (29830)Success in time 0.19 s
%------------------------------------------------------------------------------