TSTP Solution File: COM138+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : COM138+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 04:58:31 EDT 2024
% Result : Theorem 1.55s 0.57s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 13 unt; 0 def)
% Number of atoms : 335 ( 181 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 352 ( 114 ~; 136 |; 70 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 318 ( 243 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3690,plain,
$false,
inference(avatar_sat_refutation,[],[f2763,f2770,f3193,f3689]) ).
fof(f3689,plain,
( ~ spl92_1
| spl92_2
| spl92_10 ),
inference(avatar_contradiction_clause,[],[f3688]) ).
fof(f3688,plain,
( $false
| ~ spl92_1
| spl92_2
| spl92_10 ),
inference(subsumption_resolution,[],[f3685,f284]) ).
fof(f284,plain,
~ vtcheck(sK15,vvar(sK16),sK17),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ~ vtcheck(sK15,vvar(sK16),sK17)
& vtcheck(vbind(sK13,sK14,sK15),vvar(sK16),sK17)
& ~ visFreeVar(sK13,vvar(sK16)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17])],[f113,f210]) ).
fof(f210,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> ( ~ vtcheck(sK15,vvar(sK16),sK17)
& vtcheck(vbind(sK13,sK14,sK15),vvar(sK16),sK17)
& ~ visFreeVar(sK13,vvar(sK16)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3)) )
=> vtcheck(X2,vvar(X3),X4) ),
inference(rectify,[],[f57]) ).
fof(f57,negated_conjecture,
~ ! [X8,X9,X19,X20,X14] :
( ( vtcheck(vbind(X8,X9,X19),vvar(X20),X14)
& ~ visFreeVar(X8,vvar(X20)) )
=> vtcheck(X19,vvar(X20),X14) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
! [X8,X9,X19,X20,X14] :
( ( vtcheck(vbind(X8,X9,X19),vvar(X20),X14)
& ~ visFreeVar(X8,vvar(X20)) )
=> vtcheck(X19,vvar(X20),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3685,plain,
( vtcheck(sK15,vvar(sK16),sK17)
| ~ spl92_1
| spl92_2
| spl92_10 ),
inference(equality_resolution,[],[f3544]) ).
fof(f3544,plain,
( ! [X0,X1] :
( vlookup(X0,X1) != vlookup(sK16,sK15)
| vtcheck(X1,vvar(X0),sK17) )
| ~ spl92_1
| spl92_2
| spl92_10 ),
inference(backward_demodulation,[],[f2931,f3541]) ).
fof(f3541,plain,
( vlookup(sK16,vbind(sK13,sK14,sK15)) = vlookup(sK16,sK15)
| ~ spl92_1
| spl92_2
| spl92_10 ),
inference(backward_demodulation,[],[f2927,f3540]) ).
fof(f3540,plain,
( ! [X0,X1] : vlookup(X0,vbind(X0,sK17,X1)) = vlookup(sK16,sK15)
| ~ spl92_1
| spl92_2
| spl92_10 ),
inference(subsumption_resolution,[],[f3513,f2941]) ).
fof(f2941,plain,
( sK13 != sK16
| spl92_10 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2940,plain,
( spl92_10
<=> sK13 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl92_10])]) ).
fof(f3513,plain,
( ! [X0,X1] :
( vlookup(X0,vbind(X0,sK17,X1)) = vlookup(sK16,sK15)
| sK13 = sK16 )
| ~ spl92_1
| spl92_2 ),
inference(superposition,[],[f2927,f521]) ).
fof(f521,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f520]) ).
fof(f520,plain,
! [X2,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X2,vbind(X1,X0,X6))
| X1 = X5
| X2 != X5 ),
inference(equality_resolution,[],[f519]) ).
fof(f519,plain,
! [X2,X3,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X2,X3)
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| vbind(X1,X0,X6) != X3
| X2 != X5 ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vbind(X1,X0,X6) = X3
& X2 = X5 )
=> ( X1 != X5
=> ( vlookup(X2,X3) = X4
=> vlookup(X5,X6) = X4 ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X21,X20,X0,X15,X18,X8,X19] :
( ( vbind(X20,X21,X19) = X15
& X0 = X8 )
=> ( X8 != X20
=> ( vlookup(X0,X15) = X18
=> vlookup(X8,X19) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2927,plain,
( ! [X0,X1] : vlookup(sK16,vbind(sK13,sK14,sK15)) = vlookup(X0,vbind(X0,sK17,X1))
| ~ spl92_1
| spl92_2 ),
inference(superposition,[],[f2925,f525]) ).
fof(f525,plain,
! [X3,X0,X6] : vsomeType(X6) = vlookup(X3,vbind(X3,X6,X0)),
inference(equality_resolution,[],[f524]) ).
fof(f524,plain,
! [X2,X3,X0,X6] :
( vsomeType(X6) = vlookup(X3,vbind(X2,X6,X0))
| X2 != X3 ),
inference(equality_resolution,[],[f523]) ).
fof(f523,plain,
! [X2,X3,X0,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| vbind(X2,X6,X0) != X4
| X2 != X3 ),
inference(equality_resolution,[],[f522]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| X1 != X2
| vbind(X2,X6,X0) != X4
| X1 != X3 ),
inference(equality_resolution,[],[f428]) ).
fof(f428,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vsomeType(X6) = X5
| vlookup(X3,X4) != X5
| X1 != X2
| vbind(X2,X6,X0) != X4
| X1 != X3 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vsomeType(X6) = X5
| vlookup(X3,X4) != X5
| X1 != X2
| vbind(X2,X6,X0) != X4
| X1 != X3 ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vsomeType(X6) = X5
| vlookup(X3,X4) != X5
| X1 != X2
| vbind(X2,X6,X0) != X4
| X1 != X3 ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vbind(X2,X6,X0) = X4
& X1 = X3 )
=> ( X1 = X2
=> ( vlookup(X3,X4) = X5
=> vsomeType(X6) = X5 ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X19,X8,X20,X0,X15,X18,X21] :
( ( vbind(X20,X21,X19) = X15
& X0 = X8 )
=> ( X8 = X20
=> ( vlookup(X0,X15) = X18
=> vsomeType(X21) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2925,plain,
( vsomeType(sK17) = vlookup(sK16,vbind(sK13,sK14,sK15))
| ~ spl92_1
| spl92_2 ),
inference(forward_demodulation,[],[f2924,f2875]) ).
fof(f2875,plain,
( sK16 = sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15))
| ~ spl92_1 ),
inference(resolution,[],[f2778,f470]) ).
fof(f470,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f469]) ).
fof(f469,plain,
! [X2,X3,X0] :
( X2 = X3
| ~ visFreeVar(X0,vvar(X2))
| X0 != X3 ),
inference(equality_resolution,[],[f399]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( vvar(X2) = X1
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> X2 = X3 )
& ( X2 = X3
=> visFreeVar(X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3,X8,X13] :
( ( vvar(X8) = X3
& X0 = X13 )
=> ( ( visFreeVar(X0,X3)
=> X8 = X13 )
& ( X8 = X13
=> visFreeVar(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2778,plain,
( visFreeVar(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),vvar(sK16))
| ~ spl92_1 ),
inference(superposition,[],[f473,f2758]) ).
fof(f2758,plain,
( vvar(sK16) = vvar(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)))
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f2756,plain,
( spl92_1
<=> vvar(sK16) = vvar(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).
fof(f473,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f472]) ).
fof(f472,plain,
! [X3,X0] :
( visFreeVar(X0,vvar(X3))
| X0 != X3 ),
inference(equality_resolution,[],[f471]) ).
fof(f471,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| vvar(X3) != X1
| X0 != X3 ),
inference(equality_resolution,[],[f398]) ).
fof(f398,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f147]) ).
fof(f2924,plain,
( vsomeType(sK17) = vlookup(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),vbind(sK13,sK14,sK15))
| spl92_2 ),
inference(subsumption_resolution,[],[f2923,f331]) ).
fof(f331,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X3,X5] : vvar(X0) != vapp(X3,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2923,plain,
( vsomeType(sK17) = vlookup(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),vbind(sK13,sK14,sK15))
| vvar(sK16) = vapp(sK47(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),sK48(vvar(sK16),sK17,vbind(sK13,sK14,sK15)))
| spl92_2 ),
inference(subsumption_resolution,[],[f2915,f2761]) ).
fof(f2761,plain,
( ~ sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16))
| spl92_2 ),
inference(avatar_component_clause,[],[f2760]) ).
fof(f2760,plain,
( spl92_2
<=> sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).
fof(f2915,plain,
( sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16))
| vsomeType(sK17) = vlookup(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),vbind(sK13,sK14,sK15))
| vvar(sK16) = vapp(sK47(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),sK48(vvar(sK16),sK17,vbind(sK13,sK14,sK15))) ),
inference(resolution,[],[f339,f283]) ).
fof(f283,plain,
vtcheck(vbind(sK13,sK14,sK15),vvar(sK16),sK17),
inference(cnf_transformation,[],[f211]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP5(X2,X1,X0)
| vsomeType(X1) = vlookup(sK50(X0,X1,X2),X2)
| vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ( vtcheck(X2,sK48(X0,X1,X2),sK49(X0,X1,X2))
& vtcheck(X2,sK47(X0,X1,X2),varrow(sK49(X0,X1,X2),X1))
& vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 )
| sP5(X2,X1,X0)
| ( vsomeType(X1) = vlookup(sK50(X0,X1,X2),X2)
& vvar(sK50(X0,X1,X2)) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50])],[f240,f242,f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
=> ( vtcheck(X2,sK48(X0,X1,X2),sK49(X0,X1,X2))
& vtcheck(X2,sK47(X0,X1,X2),varrow(sK49(X0,X1,X2),X1))
& vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ? [X6] :
( vsomeType(X1) = vlookup(X6,X2)
& vvar(X6) = X0 )
=> ( vsomeType(X1) = vlookup(sK50(X0,X1,X2),X2)
& vvar(sK50(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| sP5(X2,X1,X0)
| ? [X6] :
( vsomeType(X1) = vlookup(X6,X2)
& vvar(X6) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| sP5(X2,X1,X0)
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f132,f199]) ).
fof(f199,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP5(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
| ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ? [X10] :
( vsomeType(X1) = vlookup(X10,X2)
& vvar(X10) = X0 ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X10,X14,X19] :
( vtcheck(X19,X10,X14)
=> ( ? [X11,X12,X9] :
( vtcheck(X19,X12,X9)
& vtcheck(X19,X11,varrow(X9,X14))
& vapp(X11,X12) = X10 )
| ? [X8,X12,X32,X33] :
( vtcheck(vbind(X8,X32,X19),X12,X33)
& varrow(X32,X33) = X14
& vabs(X8,X32,X12) = X10 )
| ? [X8] :
( vlookup(X8,X19) = vsomeType(X14)
& vvar(X8) = X10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2931,plain,
( ! [X0,X1] :
( vlookup(X0,X1) != vlookup(sK16,vbind(sK13,sK14,sK15))
| vtcheck(X1,vvar(X0),sK17) )
| ~ spl92_1
| spl92_2 ),
inference(superposition,[],[f356,f2925]) ).
fof(f356,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( vsomeType(X2) = vlookup(X1,X0)
=> vtcheck(X0,vvar(X1),X2) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X19,X8,X14] :
( vlookup(X8,X19) = vsomeType(X14)
=> vtcheck(X19,vvar(X8),X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3193,plain,
~ spl92_10,
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f2948,f473]) ).
fof(f2948,plain,
( ~ visFreeVar(sK16,vvar(sK16))
| ~ spl92_10 ),
inference(backward_demodulation,[],[f282,f2942]) ).
fof(f2942,plain,
( sK13 = sK16
| ~ spl92_10 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f282,plain,
~ visFreeVar(sK13,vvar(sK16)),
inference(cnf_transformation,[],[f211]) ).
fof(f2770,plain,
~ spl92_2,
inference(avatar_contradiction_clause,[],[f2769]) ).
fof(f2769,plain,
( $false
| ~ spl92_2 ),
inference(subsumption_resolution,[],[f2767,f357]) ).
fof(f357,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2767,plain,
( vvar(sK16) = vabs(sK43(vbind(sK13,sK14,sK15),sK17,vvar(sK16)),sK45(vbind(sK13,sK14,sK15),sK17,vvar(sK16)),sK44(vbind(sK13,sK14,sK15),sK17,vvar(sK16)))
| ~ spl92_2 ),
inference(resolution,[],[f2762,f335]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( vtcheck(vbind(sK43(X0,X1,X2),sK45(X0,X1,X2),X0),sK44(X0,X1,X2),sK46(X0,X1,X2))
& varrow(sK45(X0,X1,X2),sK46(X0,X1,X2)) = X1
& vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2 )
| ~ sP5(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46])],[f237,f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
=> ( vtcheck(vbind(sK43(X0,X1,X2),sK45(X0,X1,X2),X0),sK44(X0,X1,X2),sK46(X0,X1,X2))
& varrow(sK45(X0,X1,X2),sK46(X0,X1,X2)) = X1
& vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X0),X4,X6)
& varrow(X5,X6) = X1
& vabs(X3,X5,X4) = X2 )
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f236]) ).
fof(f236,plain,
! [X2,X1,X0] :
( ? [X6,X7,X8,X9] :
( vtcheck(vbind(X6,X8,X2),X7,X9)
& varrow(X8,X9) = X1
& vabs(X6,X8,X7) = X0 )
| ~ sP5(X2,X1,X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f2762,plain,
( sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16))
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f2760]) ).
fof(f2763,plain,
( spl92_1
| spl92_2 ),
inference(avatar_split_clause,[],[f2754,f2760,f2756]) ).
fof(f2754,plain,
( sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16))
| vvar(sK16) = vvar(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15))) ),
inference(subsumption_resolution,[],[f2748,f331]) ).
fof(f2748,plain,
( sP5(vbind(sK13,sK14,sK15),sK17,vvar(sK16))
| vvar(sK16) = vvar(sK50(vvar(sK16),sK17,vbind(sK13,sK14,sK15)))
| vvar(sK16) = vapp(sK47(vvar(sK16),sK17,vbind(sK13,sK14,sK15)),sK48(vvar(sK16),sK17,vbind(sK13,sK14,sK15))) ),
inference(resolution,[],[f338,f283]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP5(X2,X1,X0)
| vvar(sK50(X0,X1,X2)) = X0
| vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM138+1 : TPTP v8.2.0. Released v6.4.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 00:03:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.19/0.35 Running first-order theorem proving
% 0.19/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (10160)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10157)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10158)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10156)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10159)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10155)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.19/0.42 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.42 % (10154)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.19/0.42 % (10158)Refutation not found, incomplete strategy% (10158)------------------------------
% 0.19/0.42 % (10158)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.42 % (10158)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.42 % (10158)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42
% 0.19/0.42 % (10158)Memory used [KB]: 1266
% 0.19/0.42 % (10158)Time elapsed: 0.010 s
% 0.19/0.42 % (10158)Instructions burned: 11 (million)
% 0.19/0.42 % (10158)------------------------------
% 0.19/0.42 % (10158)------------------------------
% 0.19/0.46 % (10160)Instruction limit reached!
% 0.19/0.46 % (10160)------------------------------
% 0.19/0.46 % (10160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.46 % (10160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.46 % (10160)Termination reason: Time limit
% 0.19/0.46 % (10160)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (10160)Memory used [KB]: 2144
% 0.19/0.46 % (10160)Time elapsed: 0.047 s
% 0.19/0.46 % (10160)Instructions burned: 126 (million)
% 0.19/0.47 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.47 % (10161)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2999ds/126Mi)
% 0.19/0.48 % (10159)Instruction limit reached!
% 0.19/0.48 % (10159)------------------------------
% 0.19/0.48 % (10159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.48 % (10159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.48 % (10159)Termination reason: Time limit
% 0.19/0.48 % (10159)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (10159)Memory used [KB]: 2443
% 0.19/0.48 % (10159)Time elapsed: 0.067 s
% 0.19/0.48 % (10159)Instructions burned: 134 (million)
% 0.19/0.49 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.49 % (10162)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2999ds/145Mi)
% 0.19/0.51 % (10161)Instruction limit reached!
% 0.19/0.51 % (10161)------------------------------
% 0.19/0.51 % (10161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.51 % (10161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.51 % (10161)Termination reason: Time limit
% 0.19/0.51 % (10161)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (10161)Memory used [KB]: 2315
% 0.19/0.51 % (10161)Time elapsed: 0.039 s
% 0.19/0.51 % (10161)Instructions burned: 127 (million)
% 0.19/0.51 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.51 % (10163)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.19/0.52 % (10163)Refutation not found, incomplete strategy% (10163)------------------------------
% 0.19/0.52 % (10163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.52 % (10163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.52 % (10163)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (10163)Memory used [KB]: 1361
% 0.19/0.52 % (10163)Time elapsed: 0.004 s
% 0.19/0.52 % (10163)Instructions burned: 9 (million)
% 0.19/0.52 % (10163)------------------------------
% 0.19/0.52 % (10163)------------------------------
% 0.19/0.53 % (10162)Instruction limit reached!
% 0.19/0.53 % (10162)------------------------------
% 0.19/0.53 % (10162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.19/0.53 % (10162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.19/0.53 % (10162)Termination reason: Time limit
% 0.19/0.53 % (10162)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10162)Memory used [KB]: 2428
% 0.19/0.53 % (10162)Time elapsed: 0.048 s
% 0.19/0.53 % (10162)Instructions burned: 145 (million)
% 0.19/0.54 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.54 % (10164)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2998ds/226Mi)
% 0.19/0.55 % (10153)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.55 % (10165)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2998ds/247Mi)
% 0.19/0.56 % (10157)First to succeed.
% 1.55/0.57 % (10153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.57 % (10166)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2998ds/230Mi)
% 1.55/0.57 % (10157)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10153"
% 1.55/0.57 % (10153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.57 % (10157)Refutation found. Thanks to Tanya!
% 1.55/0.57 % SZS status Theorem for theBenchmark
% 1.55/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.57 % (10157)------------------------------
% 1.55/0.57 % (10157)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.57 % (10157)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.57 % (10157)Termination reason: Refutation
% 1.55/0.57
% 1.55/0.57 % (10157)Memory used [KB]: 4378
% 1.55/0.57 % (10157)Time elapsed: 0.153 s
% 1.55/0.57 % (10157)Instructions burned: 389 (million)
% 1.55/0.57 % (10157)------------------------------
% 1.55/0.57 % (10157)------------------------------
% 1.55/0.57 % (10153)Success in time 0.205 s
%------------------------------------------------------------------------------