TSTP Solution File: COM133+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n007.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 15:53:22 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 6 unt; 0 def)
% Number of atoms : 371 ( 147 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 443 ( 170 ~; 185 |; 53 &)
% ( 7 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 382 ( 354 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f758,plain,
$false,
inference(avatar_sat_refutation,[],[f645,f650,f659,f671,f697,f705,f752,f755]) ).
fof(f755,plain,
( ~ spl94_7
| ~ spl94_1 ),
inference(avatar_split_clause,[],[f754,f631,f656]) ).
fof(f656,plain,
( spl94_7
<=> vtcheck(sK93,vabs(sK87,sK92,veabs),sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_7])]) ).
fof(f631,plain,
( spl94_1
<=> sK87 = sK91 ),
introduced(avatar_definition,[new_symbols(naming,[spl94_1])]) ).
fof(f754,plain,
( ~ vtcheck(sK93,vabs(sK87,sK92,veabs),sK88)
| ~ spl94_1 ),
inference(forward_demodulation,[],[f753,f632]) ).
fof(f632,plain,
( sK87 = sK91
| ~ spl94_1 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f753,plain,
( ~ vtcheck(sK93,vabs(sK91,sK92,veabs),sK88)
| ~ spl94_1 ),
inference(subsumption_resolution,[],[f660,f632]) ).
fof(f660,plain,
( sK87 != sK91
| ~ vtcheck(sK93,vabs(sK91,sK92,veabs),sK88) ),
inference(constrained_superposition,[],[f507,f592]) ).
fof(f592,plain,
! [X1,X8,X6,X7] : vsubst(X7,X6,vabs(X7,X1,X8)) = vabs(X7,X1,X8),
inference(equality_resolution,[],[f591]) ).
fof(f591,plain,
! [X1,X8,X6,X7,X4] :
( X4 != X7
| vsubst(X4,X6,vabs(X7,X1,X8)) = vabs(X7,X1,X8) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X0,X1,X8,X6,X7,X4] :
( vsubst(X4,X6,vabs(X7,X1,X8)) != X0
| X4 != X7
| vabs(X7,X1,X8) = X0 ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X0,X1,X8,X6,X7,X4,X5] :
( vabs(X7,X1,X8) != X5
| vsubst(X4,X6,X5) != X0
| X4 != X7
| vabs(X7,X1,X8) = X0 ),
inference(equality_resolution,[],[f588]) ).
fof(f588,plain,
! [X3,X0,X1,X8,X6,X7,X4,X5] :
( X3 != X6
| vabs(X7,X1,X8) != X5
| vsubst(X4,X6,X5) != X0
| X4 != X7
| vabs(X7,X1,X8) = X0 ),
inference(equality_resolution,[],[f463]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( X2 != X4
| X3 != X6
| vabs(X7,X1,X8) != X5
| vsubst(X2,X6,X5) != X0
| X4 != X7
| vabs(X7,X1,X8) = X0 ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( X2 != X4
| X3 != X6
| vabs(X7,X1,X8) != X5
| vsubst(X2,X6,X5) != X0
| X4 != X7
| vabs(X7,X1,X8) = X0 ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X7,X0,X5,X3,X4,X8,X2,X1,X6] :
( X4 != X5
| X2 != X3
| vabs(X1,X0,X6) != X8
| vsubst(X5,X2,X8) != X7
| X1 != X4
| vabs(X1,X0,X6) = X7 ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X1,X4,X3,X5,X2,X0,X6,X8,X7] :
( vabs(X1,X0,X6) = X7
| vsubst(X5,X2,X8) != X7
| X1 != X4
| X2 != X3
| vabs(X1,X0,X6) != X8
| X4 != X5 ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X1,X4,X3,X5,X2,X0,X6,X8,X7] :
( ( X2 = X3
& vabs(X1,X0,X6) = X8
& X4 = X5 )
=> ( X1 = X4
=> ( vsubst(X5,X2,X8) = X7
=> vabs(X1,X0,X6) = X7 ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X14,X20,X3,X10,X8,X0,X11,X18,X5] :
( ( X3 = X10
& vabs(X20,X14,X11) = X5
& X0 = X8 )
=> ( X8 = X20
=> ( vsubst(X0,X3,X5) = X18
=> vabs(X20,X14,X11) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst3) ).
fof(f507,plain,
~ vtcheck(sK93,vsubst(sK91,sK89,vabs(sK87,sK92,veabs)),sK88),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
( ~ vtcheck(sK93,vsubst(sK91,sK89,vabs(sK87,sK92,veabs)),sK88)
& vtcheck(sK93,sK89,sK90)
& vtcheck(vbind(sK91,sK90,sK93),vabs(sK87,sK92,veabs),sK88) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92,sK93])],[f347,f348]) ).
fof(f348,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X6,vsubst(X4,X2,vabs(X0,X5,veabs)),X1)
& vtcheck(X6,X2,X3)
& vtcheck(vbind(X4,X3,X6),vabs(X0,X5,veabs),X1) )
=> ( ~ vtcheck(sK93,vsubst(sK91,sK89,vabs(sK87,sK92,veabs)),sK88)
& vtcheck(sK93,sK89,sK90)
& vtcheck(vbind(sK91,sK90,sK93),vabs(sK87,sK92,veabs),sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(X6,vsubst(X4,X2,vabs(X0,X5,veabs)),X1)
& vtcheck(X6,X2,X3)
& vtcheck(vbind(X4,X3,X6),vabs(X0,X5,veabs),X1) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
? [X6,X3,X4,X2,X5,X0,X1] :
( ~ vtcheck(X1,vsubst(X5,X4,vabs(X6,X0,veabs)),X3)
& vtcheck(X1,X4,X2)
& vtcheck(vbind(X5,X2,X1),vabs(X6,X0,veabs),X3) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X3,X4,X6,X5,X1,X2,X0] :
( ~ vtcheck(X1,vsubst(X5,X4,vabs(X6,X0,veabs)),X3)
& vtcheck(vbind(X5,X2,X1),vabs(X6,X0,veabs),X3)
& vtcheck(X1,X4,X2) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
~ ! [X3,X4,X6,X5,X1,X2,X0] :
( ( vtcheck(vbind(X5,X2,X1),vabs(X6,X0,veabs),X3)
& vtcheck(X1,X4,X2) )
=> vtcheck(X1,vsubst(X5,X4,vabs(X6,X0,veabs)),X3) ),
inference(rectify,[],[f63]) ).
fof(f63,negated_conjecture,
~ ! [X9,X19,X14,X33,X10,X8,X20] :
( ( vtcheck(X19,X10,X14)
& vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33) )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
! [X9,X19,X14,X33,X10,X8,X20] :
( ( vtcheck(X19,X10,X14)
& vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33) )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs') ).
fof(f752,plain,
( ~ spl94_1
| ~ spl94_6 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl94_1
| ~ spl94_6 ),
inference(subsumption_resolution,[],[f713,f540]) ).
fof(f540,plain,
! [X3,X1,X4] : ~ visFreeVar(X3,vabs(X3,X1,X4)),
inference(equality_resolution,[],[f539]) ).
fof(f539,plain,
! [X3,X1,X4,X5] :
( ~ visFreeVar(X3,X5)
| vabs(X3,X1,X4) != X5 ),
inference(equality_resolution,[],[f538]) ).
fof(f538,plain,
! [X3,X0,X1,X4,X5] :
( X0 != X3
| ~ visFreeVar(X3,X5)
| vabs(X0,X1,X4) != X5 ),
inference(equality_resolution,[],[f384]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 != X3
| X0 != X3
| ~ visFreeVar(X2,X5)
| vabs(X0,X1,X4) != X5 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4,X5] :
( X2 != X3
| ( ( X0 = X3
| visFreeVar(X2,X5)
| ~ visFreeVar(X3,X4) )
& ( ( X0 != X3
& visFreeVar(X3,X4) )
| ~ visFreeVar(X2,X5) ) )
| vabs(X0,X1,X4) != X5 ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X5,X1,X2,X3,X0,X4] :
( X2 != X3
| ( ( X3 = X5
| visFreeVar(X2,X4)
| ~ visFreeVar(X3,X0) )
& ( ( X3 != X5
& visFreeVar(X3,X0) )
| ~ visFreeVar(X2,X4) ) )
| vabs(X5,X1,X0) != X4 ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X4,X1,X3,X5] :
( ( ( ( X3 != X5
& visFreeVar(X3,X0) )
| ~ visFreeVar(X2,X4) )
& ( visFreeVar(X2,X4)
| X3 = X5
| ~ visFreeVar(X3,X0) ) )
| X2 != X3
| vabs(X5,X1,X0) != X4 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X2,X0,X4,X1,X3,X5] :
( ( X2 = X3
& vabs(X5,X1,X0) = X4 )
=> ( ( visFreeVar(X2,X4)
=> ( X3 != X5
& visFreeVar(X3,X0) ) )
& ( ( X3 != X5
& visFreeVar(X3,X0) )
=> visFreeVar(X2,X4) ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X10,X14,X0,X13,X3,X8] :
( ( vabs(X8,X14,X10) = X3
& X0 = X13 )
=> ( ( ( X8 != X13
& visFreeVar(X13,X10) )
=> visFreeVar(X0,X3) )
& ( visFreeVar(X0,X3)
=> ( X8 != X13
& visFreeVar(X13,X10) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar1) ).
fof(f713,plain,
( visFreeVar(sK87,vabs(sK87,sK92,veabs))
| ~ spl94_1
| ~ spl94_6 ),
inference(backward_demodulation,[],[f654,f632]) ).
fof(f654,plain,
( visFreeVar(sK91,vabs(sK87,sK92,veabs))
| ~ spl94_6 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f652,plain,
( spl94_6
<=> visFreeVar(sK91,vabs(sK87,sK92,veabs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_6])]) ).
fof(f705,plain,
( ~ spl94_5
| spl94_8
| spl94_9 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl94_5
| spl94_8
| spl94_9 ),
inference(subsumption_resolution,[],[f703,f669]) ).
fof(f669,plain,
( ~ visFreeVar(sK87,sK89)
| spl94_9 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl94_9
<=> visFreeVar(sK87,sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_9])]) ).
fof(f703,plain,
( visFreeVar(sK87,sK89)
| ~ spl94_5
| spl94_8 ),
inference(subsumption_resolution,[],[f702,f666]) ).
fof(f666,plain,
( ~ vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,sK89,veabs)),sK88)
| spl94_8 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl94_8
<=> vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,sK89,veabs)),sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_8])]) ).
fof(f702,plain,
( vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,sK89,veabs)),sK88)
| visFreeVar(sK87,sK89)
| ~ spl94_5 ),
inference(resolution,[],[f649,f506]) ).
fof(f506,plain,
vtcheck(sK93,sK89,sK90),
inference(cnf_transformation,[],[f349]) ).
fof(f649,plain,
( ! [X1] :
( ~ vtcheck(sK93,X1,sK90)
| vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,X1,veabs)),sK88)
| visFreeVar(sK87,X1) )
| ~ spl94_5 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl94_5
<=> ! [X1] :
( vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,X1,veabs)),sK88)
| ~ vtcheck(sK93,X1,sK90)
| visFreeVar(sK87,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_5])]) ).
fof(f697,plain,
( ~ spl94_9
| ~ spl94_4 ),
inference(avatar_split_clause,[],[f696,f643,f668]) ).
fof(f643,plain,
( spl94_4
<=> ! [X0] :
( ~ vtcheck(sK93,X0,sK90)
| ~ visFreeVar(sK87,X0)
| vtcheck(sK93,vsubst(sK91,X0,vabs(sK87,sK92,veabs)),sK88) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl94_4])]) ).
fof(f696,plain,
( ~ visFreeVar(sK87,sK89)
| ~ spl94_4 ),
inference(subsumption_resolution,[],[f695,f507]) ).
fof(f695,plain,
( ~ visFreeVar(sK87,sK89)
| vtcheck(sK93,vsubst(sK91,sK89,vabs(sK87,sK92,veabs)),sK88)
| ~ spl94_4 ),
inference(resolution,[],[f644,f506]) ).
fof(f644,plain,
( ! [X0] :
( ~ vtcheck(sK93,X0,sK90)
| vtcheck(sK93,vsubst(sK91,X0,vabs(sK87,sK92,veabs)),sK88)
| ~ visFreeVar(sK87,X0) )
| ~ spl94_4 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f671,plain,
( ~ spl94_8
| spl94_9
| spl94_1 ),
inference(avatar_split_clause,[],[f662,f631,f668,f664]) ).
fof(f662,plain,
( visFreeVar(sK87,sK89)
| ~ vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,sK89,veabs)),sK88)
| spl94_1 ),
inference(subsumption_resolution,[],[f661,f633]) ).
fof(f633,plain,
( sK87 != sK91
| spl94_1 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f661,plain,
( sK87 = sK91
| ~ vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,sK89,veabs)),sK88)
| visFreeVar(sK87,sK89) ),
inference(superposition,[],[f507,f610]) ).
fof(f610,plain,
! [X0,X8,X6,X7,X5] :
( vabs(X8,X0,vsubst(X5,X7,X6)) = vsubst(X5,X7,vabs(X8,X0,X6))
| X5 = X8
| visFreeVar(X8,X7) ),
inference(equality_resolution,[],[f609]) ).
fof(f609,plain,
! [X2,X0,X8,X6,X7,X5] :
( visFreeVar(X8,X7)
| X5 = X8
| X2 != X7
| vabs(X8,X0,vsubst(X5,X7,X6)) = vsubst(X5,X2,vabs(X8,X0,X6)) ),
inference(equality_resolution,[],[f608]) ).
fof(f608,plain,
! [X2,X0,X8,X6,X7,X4,X5] :
( visFreeVar(X8,X7)
| X5 = X8
| vabs(X8,X0,X6) != X4
| X2 != X7
| vabs(X8,X0,vsubst(X5,X7,X6)) = vsubst(X5,X2,X4) ),
inference(equality_resolution,[],[f607]) ).
fof(f607,plain,
! [X2,X0,X1,X8,X6,X7,X4,X5] :
( visFreeVar(X8,X7)
| X5 = X8
| vsubst(X5,X2,X4) != X1
| vabs(X8,X0,X6) != X4
| X2 != X7
| vabs(X8,X0,vsubst(X5,X7,X6)) = X1 ),
inference(equality_resolution,[],[f499]) ).
fof(f499,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( visFreeVar(X8,X7)
| X5 = X8
| X3 != X5
| vsubst(X3,X2,X4) != X1
| vabs(X8,X0,X6) != X4
| X2 != X7
| vabs(X8,X0,vsubst(X5,X7,X6)) = X1 ),
inference(cnf_transformation,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( visFreeVar(X8,X7)
| X5 = X8
| X3 != X5
| vsubst(X3,X2,X4) != X1
| vabs(X8,X0,X6) != X4
| X2 != X7
| vabs(X8,X0,vsubst(X5,X7,X6)) = X1 ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X8,X3,X2,X7,X4,X5,X6,X1,X0] :
( visFreeVar(X0,X1)
| X0 = X5
| X5 != X7
| vsubst(X7,X2,X4) != X3
| vabs(X0,X8,X6) != X4
| X1 != X2
| vabs(X0,X8,vsubst(X5,X1,X6)) = X3 ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X2,X4,X7,X8,X3,X0,X1,X6,X5] :
( vabs(X0,X8,vsubst(X5,X1,X6)) = X3
| vsubst(X7,X2,X4) != X3
| X0 = X5
| visFreeVar(X0,X1)
| vabs(X0,X8,X6) != X4
| X1 != X2
| X5 != X7 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X2,X4,X7,X8,X3,X0,X1,X6,X5] :
( ( vabs(X0,X8,X6) = X4
& X1 = X2
& X5 = X7 )
=> ( ( X0 != X5
& ~ visFreeVar(X0,X1) )
=> ( vsubst(X7,X2,X4) = X3
=> vabs(X0,X8,vsubst(X5,X1,X6)) = X3 ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X20,X10,X3,X18,X5,X8,X11,X0,X14] :
( ( vabs(X20,X14,X11) = X5
& X3 = X10
& X0 = X8 )
=> ( ( ~ visFreeVar(X20,X10)
& X8 != X20 )
=> ( vsubst(X0,X3,X5) = X18
=> vabs(X20,X14,vsubst(X8,X10,X11)) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst5) ).
fof(f659,plain,
( spl94_6
| spl94_7 ),
inference(avatar_split_clause,[],[f626,f656,f652]) ).
fof(f626,plain,
( vtcheck(sK93,vabs(sK87,sK92,veabs),sK88)
| visFreeVar(sK91,vabs(sK87,sK92,veabs)) ),
inference(resolution,[],[f505,f508]) ).
fof(f508,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X0,X4,X1),X2,X3)
| vtcheck(X1,X2,X3)
| visFreeVar(X0,X2) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X0,X4,X1),X2,X3)
| vtcheck(X1,X2,X3)
| visFreeVar(X0,X2) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X4,X3,X0,X2,X1] :
( ~ vtcheck(vbind(X4,X1,X3),X0,X2)
| vtcheck(X3,X0,X2)
| visFreeVar(X4,X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X2,X0,X1,X4,X3] :
( vtcheck(X3,X0,X2)
| ~ vtcheck(vbind(X4,X1,X3),X0,X2)
| visFreeVar(X4,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X2,X0,X1,X4,X3] :
( ( vtcheck(vbind(X4,X1,X3),X0,X2)
& ~ visFreeVar(X4,X0) )
=> vtcheck(X3,X0,X2) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X10,X9,X14,X19,X8] :
( ( vtcheck(vbind(X8,X9,X19),X10,X14)
& ~ visFreeVar(X8,X10) )
=> vtcheck(X19,X10,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
fof(f505,plain,
vtcheck(vbind(sK91,sK90,sK93),vabs(sK87,sK92,veabs),sK88),
inference(cnf_transformation,[],[f349]) ).
fof(f650,plain,
( spl94_1
| spl94_5 ),
inference(avatar_split_clause,[],[f646,f648,f631]) ).
fof(f646,plain,
! [X1] :
( vtcheck(sK93,vabs(sK87,sK92,vsubst(sK91,X1,veabs)),sK88)
| visFreeVar(sK87,X1)
| sK87 = sK91
| ~ vtcheck(sK93,X1,sK90) ),
inference(forward_subsumption_demodulation,[],[f624,f610]) ).
fof(f624,plain,
! [X1] :
( visFreeVar(sK87,X1)
| ~ vtcheck(sK93,X1,sK90)
| sK87 = sK91
| vtcheck(sK93,vsubst(sK91,X1,vabs(sK87,sK92,veabs)),sK88) ),
inference(resolution,[],[f505,f464]) ).
fof(f464,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X5,X0,X4),vabs(X2,X3,veabs),X6)
| visFreeVar(X2,X1)
| ~ vtcheck(X4,X1,X0)
| X2 = X5
| vtcheck(X4,vsubst(X5,X1,vabs(X2,X3,veabs)),X6) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X2 = X5
| visFreeVar(X2,X1)
| vtcheck(X4,vsubst(X5,X1,vabs(X2,X3,veabs)),X6)
| ~ vtcheck(vbind(X5,X0,X4),vabs(X2,X3,veabs),X6)
| ~ vtcheck(X4,X1,X0) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X2,X5,X6,X0,X3,X4,X1] :
( X4 = X6
| visFreeVar(X6,X5)
| vtcheck(X3,vsubst(X4,X5,vabs(X6,X0,veabs)),X1)
| ~ vtcheck(vbind(X4,X2,X3),vabs(X6,X0,veabs),X1)
| ~ vtcheck(X3,X5,X2) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0,X4,X5,X2,X1,X6,X3] :
( vtcheck(X3,vsubst(X4,X5,vabs(X6,X0,veabs)),X1)
| X4 = X6
| visFreeVar(X6,X5)
| ~ vtcheck(X3,X5,X2)
| ~ vtcheck(vbind(X4,X2,X3),vabs(X6,X0,veabs),X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X4,X5,X2,X1,X6,X3] :
( ( X4 != X6
& ~ visFreeVar(X6,X5)
& vtcheck(X3,X5,X2)
& vtcheck(vbind(X4,X2,X3),vabs(X6,X0,veabs),X1) )
=> vtcheck(X3,vsubst(X4,X5,vabs(X6,X0,veabs)),X1) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X9,X33,X14,X19,X8,X10,X20] :
( ( vtcheck(X19,X10,X14)
& ~ visFreeVar(X20,X10)
& vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33)
& X8 != X20 )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2') ).
fof(f645,plain,
( spl94_1
| spl94_4 ),
inference(avatar_split_clause,[],[f623,f643,f631]) ).
fof(f623,plain,
! [X0] :
( ~ vtcheck(sK93,X0,sK90)
| vtcheck(sK93,vsubst(sK91,X0,vabs(sK87,sK92,veabs)),sK88)
| sK87 = sK91
| ~ visFreeVar(sK87,X0) ),
inference(resolution,[],[f505,f377]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ vtcheck(vbind(X1,X4,X3),vabs(X6,X5,veabs),X0)
| ~ visFreeVar(X6,X2)
| vtcheck(X3,vsubst(X1,X2,vabs(X6,X5,veabs)),X0)
| ~ vtcheck(X3,X2,X4)
| X1 = X6 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ vtcheck(vbind(X1,X4,X3),vabs(X6,X5,veabs),X0)
| X1 = X6
| ~ visFreeVar(X6,X2)
| ~ vtcheck(X3,X2,X4)
| vtcheck(X3,vsubst(X1,X2,vabs(X6,X5,veabs)),X0) ),
inference(rectify,[],[f198]) ).
fof(f198,plain,
! [X6,X5,X3,X2,X0,X1,X4] :
( ~ vtcheck(vbind(X5,X0,X2),vabs(X4,X1,veabs),X6)
| X4 = X5
| ~ visFreeVar(X4,X3)
| ~ vtcheck(X2,X3,X0)
| vtcheck(X2,vsubst(X5,X3,vabs(X4,X1,veabs)),X6) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X5,X0,X4,X1,X2,X3,X6] :
( vtcheck(X2,vsubst(X5,X3,vabs(X4,X1,veabs)),X6)
| ~ vtcheck(vbind(X5,X0,X2),vabs(X4,X1,veabs),X6)
| ~ visFreeVar(X4,X3)
| ~ vtcheck(X2,X3,X0)
| X4 = X5 ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X5,X0,X4,X1,X2,X3,X6] :
( ( vtcheck(vbind(X5,X0,X2),vabs(X4,X1,veabs),X6)
& visFreeVar(X4,X3)
& vtcheck(X2,X3,X0)
& X4 != X5 )
=> vtcheck(X2,vsubst(X5,X3,vabs(X4,X1,veabs)),X6) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X14,X9,X19,X10,X20,X8,X33] :
( ( vtcheck(X19,X10,X14)
& visFreeVar(X20,X10)
& X8 != X20
& vtcheck(vbind(X8,X14,X19),vabs(X20,X9,veabs),X33) )
=> vtcheck(X19,vsubst(X8,X10,vabs(X20,X9,veabs)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM133+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 17:12:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (13232)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)
% 0.20/0.51 % (13232)Instruction limit reached!
% 0.20/0.51 % (13232)------------------------------
% 0.20/0.51 % (13232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13246)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)
% 0.20/0.51 % (13238)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)
% 0.20/0.52 % (13238)Instruction limit reached!
% 0.20/0.52 % (13238)------------------------------
% 0.20/0.52 % (13238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13242)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)
% 0.20/0.52 % (13229)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (13234)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)
% 0.20/0.52 % (13238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13238)Termination reason: Unknown
% 0.20/0.52 % (13238)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (13238)Memory used [KB]: 1535
% 0.20/0.52 % (13238)Time elapsed: 0.003 s
% 0.20/0.52 % (13238)Instructions burned: 3 (million)
% 0.20/0.52 % (13238)------------------------------
% 0.20/0.52 % (13238)------------------------------
% 0.20/0.53 % (13232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13232)Termination reason: Unknown
% 0.20/0.53 % (13232)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (13232)Memory used [KB]: 2046
% 0.20/0.53 % (13232)Time elapsed: 0.095 s
% 0.20/0.53 % (13232)Instructions burned: 16 (million)
% 0.20/0.53 % (13232)------------------------------
% 0.20/0.53 % (13232)------------------------------
% 0.20/0.53 % (13226)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)
% 0.20/0.53 % (13221)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)
% 0.20/0.54 % (13220)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (13234)Instruction limit reached!
% 0.20/0.54 % (13234)------------------------------
% 0.20/0.54 % (13234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13234)Termination reason: Unknown
% 0.20/0.54 % (13234)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (13234)Memory used [KB]: 1663
% 0.20/0.54 % (13234)Time elapsed: 0.005 s
% 0.20/0.54 % (13234)Instructions burned: 3 (million)
% 0.20/0.54 % (13234)------------------------------
% 0.20/0.54 % (13234)------------------------------
% 0.20/0.54 % (13222)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)
% 0.20/0.54 % (13222)Instruction limit reached!
% 0.20/0.54 % (13222)------------------------------
% 0.20/0.54 % (13222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13222)Termination reason: Unknown
% 0.20/0.54 % (13222)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (13222)Memory used [KB]: 1663
% 0.20/0.54 % (13222)Time elapsed: 0.003 s
% 0.20/0.54 % (13222)Instructions burned: 3 (million)
% 0.20/0.54 % (13222)------------------------------
% 0.20/0.54 % (13222)------------------------------
% 0.20/0.54 % (13225)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (13246)First to succeed.
% 0.20/0.54 % (13224)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)
% 0.20/0.54 % (13240)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (13230)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)
% 0.20/0.54 % (13233)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)
% 0.20/0.54 % (13231)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (13235)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)
% 0.20/0.55 % (13230)Refutation not found, incomplete strategy% (13230)------------------------------
% 0.20/0.55 % (13230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13230)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (13230)Memory used [KB]: 6140
% 0.20/0.55 % (13230)Time elapsed: 0.129 s
% 0.20/0.55 % (13230)Instructions burned: 6 (million)
% 0.20/0.55 % (13230)------------------------------
% 0.20/0.55 % (13230)------------------------------
% 0.20/0.55 % (13231)Instruction limit reached!
% 0.20/0.55 % (13231)------------------------------
% 0.20/0.55 % (13231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13231)Termination reason: Unknown
% 0.20/0.55 % (13231)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (13231)Memory used [KB]: 6140
% 0.20/0.55 % (13231)Time elapsed: 0.131 s
% 0.20/0.55 % (13231)Instructions burned: 7 (million)
% 0.20/0.55 % (13231)------------------------------
% 0.20/0.55 % (13231)------------------------------
% 0.20/0.55 % (13246)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (13246)------------------------------
% 0.20/0.55 % (13246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13246)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (13246)Memory used [KB]: 7036
% 0.20/0.55 % (13246)Time elapsed: 0.131 s
% 0.20/0.55 % (13246)Instructions burned: 27 (million)
% 0.20/0.55 % (13246)------------------------------
% 0.20/0.55 % (13246)------------------------------
% 0.20/0.55 % (13219)Success in time 0.186 s
%------------------------------------------------------------------------------