TSTP Solution File: COM135+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : COM135+1 : TPTP v8.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 121 ( 15 unt; 0 def)
% Number of atoms : 420 ( 247 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 458 ( 159 ~; 177 |; 78 &)
% ( 5 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-3 aty)
% Number of variables : 406 ( 328 !; 78 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3202,plain,
$false,
inference(avatar_sat_refutation,[],[f620,f688,f2848,f2995,f3001,f3197]) ).
fof(f3197,plain,
( ~ spl93_1
| ~ spl93_6
| ~ spl93_8 ),
inference(avatar_contradiction_clause,[],[f3196]) ).
fof(f3196,plain,
( $false
| ~ spl93_1
| ~ spl93_6
| ~ spl93_8 ),
inference(subsumption_resolution,[],[f3187,f290]) ).
fof(f290,plain,
vtcheck(sK14,sK16,sK13),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ~ vtcheck(sK14,vsubst(sK15,sK16,vvar(sK17)),sK18)
& vtcheck(vbind(sK15,sK13,sK14),vvar(sK17),sK18)
& vtcheck(sK14,sK16,sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18])],[f117,f218]) ).
fof(f218,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) )
=> ( ~ vtcheck(sK14,vsubst(sK15,sK16,vvar(sK17)),sK18)
& vtcheck(vbind(sK15,sK13,sK14),vvar(sK17),sK18)
& vtcheck(sK14,sK16,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5)
& vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(vbind(X2,X0,X1),vvar(X4),X5)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vvar(X4)),X5) ),
inference(rectify,[],[f59]) ).
fof(f59,negated_conjecture,
~ ! [X14,X19,X8,X10,X20,X33] :
( ( vtcheck(vbind(X8,X14,X19),vvar(X20),X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,vvar(X20)),X33) ),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
! [X14,X19,X8,X10,X20,X33] :
( ( vtcheck(vbind(X8,X14,X19),vvar(X20),X33)
& vtcheck(X19,X10,X14) )
=> vtcheck(X19,vsubst(X8,X10,vvar(X20)),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3187,plain,
( ~ vtcheck(sK14,sK16,sK13)
| ~ spl93_1
| ~ spl93_6
| ~ spl93_8 ),
inference(backward_demodulation,[],[f693,f3184]) ).
fof(f3184,plain,
( sK13 = sK18
| ~ spl93_6
| ~ spl93_8 ),
inference(forward_demodulation,[],[f3179,f580]) ).
fof(f580,plain,
! [X2,X0,X1] : vgetSomeType(vlookup(X1,vbind(X1,X0,X2))) = X0,
inference(superposition,[],[f458,f535]) ).
fof(f535,plain,
! [X3,X0,X6] : vsomeType(X6) = vlookup(X3,vbind(X3,X6,X0)),
inference(equality_resolution,[],[f534]) ).
fof(f534,plain,
! [X2,X3,X0,X6] :
( vsomeType(X6) = vlookup(X3,vbind(X2,X6,X0))
| X2 != X3 ),
inference(equality_resolution,[],[f533]) ).
fof(f533,plain,
! [X2,X3,X0,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| vbind(X2,X6,X0) != X4
| X2 != X3 ),
inference(equality_resolution,[],[f532]) ).
fof(f532,plain,
! [X2,X3,X0,X1,X6,X4] :
( vlookup(X3,X4) = vsomeType(X6)
| X1 != X2
| vbind(X2,X6,X0) != X4
| X1 != X3 ),
inference(equality_resolution,[],[f438]) ).
fof(f438,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,[],[f190]) ).
fof(f190,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,[],[f189]) ).
fof(f189,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,[],[f110]) ).
fof(f110,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(f458,plain,
! [X2] : vgetSomeType(vsomeType(X2)) = X2,
inference(equality_resolution,[],[f457]) ).
fof(f457,plain,
! [X2,X0] :
( vgetSomeType(X0) = X2
| vsomeType(X2) != X0 ),
inference(equality_resolution,[],[f340]) ).
fof(f340,plain,
! [X2,X0,X1] :
( X1 = X2
| vgetSomeType(X0) != X1
| vsomeType(X2) != X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( X1 = X2
| vgetSomeType(X0) != X1
| vsomeType(X2) != X0 ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( X1 = X2
| vgetSomeType(X0) != X1
| vsomeType(X2) != X0 ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( vsomeType(X2) = X0
=> ( vgetSomeType(X0) = X1
=> X1 = X2 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X17,X18,X10] :
( vsomeType(X10) = X17
=> ( vgetSomeType(X17) = X18
=> X10 = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3179,plain,
( sK18 = vgetSomeType(vlookup(sK15,vbind(sK15,sK13,sK14)))
| ~ spl93_6
| ~ spl93_8 ),
inference(superposition,[],[f458,f3114]) ).
fof(f3114,plain,
( vsomeType(sK18) = vlookup(sK15,vbind(sK15,sK13,sK14))
| ~ spl93_6
| ~ spl93_8 ),
inference(backward_demodulation,[],[f2994,f3113]) ).
fof(f3113,plain,
( sK15 = sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14))
| ~ spl93_6 ),
inference(resolution,[],[f3047,f480]) ).
fof(f480,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f479]) ).
fof(f479,plain,
! [X2,X3,X0] :
( X2 = X3
| ~ visFreeVar(X0,vvar(X2))
| X0 != X3 ),
inference(equality_resolution,[],[f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ( ( X2 = X3
| ~ visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
| X2 != X3 ) )
| vvar(X2) != X1
| X0 != X3 ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,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(f3047,plain,
( visFreeVar(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),vvar(sK15))
| ~ spl93_6 ),
inference(superposition,[],[f483,f2843]) ).
fof(f2843,plain,
( vvar(sK15) = vvar(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)))
| ~ spl93_6 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f2841,plain,
( spl93_6
<=> vvar(sK15) = vvar(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_6])]) ).
fof(f483,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f482]) ).
fof(f482,plain,
! [X3,X0] :
( visFreeVar(X0,vvar(X3))
| X0 != X3 ),
inference(equality_resolution,[],[f481]) ).
fof(f481,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| vvar(X3) != X1
| X0 != X3 ),
inference(equality_resolution,[],[f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| vvar(X2) != X1
| X0 != X3 ),
inference(cnf_transformation,[],[f151]) ).
fof(f2994,plain,
( vsomeType(sK18) = vlookup(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),vbind(sK15,sK13,sK14))
| ~ spl93_8 ),
inference(avatar_component_clause,[],[f2992]) ).
fof(f2992,plain,
( spl93_8
<=> vsomeType(sK18) = vlookup(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),vbind(sK15,sK13,sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_8])]) ).
fof(f693,plain,
( ~ vtcheck(sK14,sK16,sK18)
| ~ spl93_1 ),
inference(forward_demodulation,[],[f692,f528]) ).
fof(f528,plain,
! [X2,X6] : vsubst(X2,X6,vvar(X2)) = X6,
inference(equality_resolution,[],[f527]) ).
fof(f527,plain,
! [X2,X1,X6] :
( vsubst(X2,X6,vvar(X1)) = X6
| X1 != X2 ),
inference(equality_resolution,[],[f526]) ).
fof(f526,plain,
! [X2,X3,X1,X6] :
( vsubst(X2,X3,vvar(X1)) = X6
| X3 != X6
| X1 != X2 ),
inference(equality_resolution,[],[f525]) ).
fof(f525,plain,
! [X2,X3,X1,X6,X4] :
( vsubst(X2,X3,X4) = X6
| vvar(X1) != X4
| X3 != X6
| X1 != X2 ),
inference(equality_resolution,[],[f524]) ).
fof(f524,plain,
! [X2,X3,X0,X1,X6,X4] :
( vsubst(X2,X3,X4) = X6
| X0 != X1
| vvar(X1) != X4
| X3 != X6
| X0 != X2 ),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| vvar(X1) != X4
| X3 != X6
| X0 != X2 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| vvar(X1) != X4
| X3 != X6
| X0 != X2 ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X5 = X6
| vsubst(X2,X3,X4) != X5
| X0 != X1
| vvar(X1) != X4
| X3 != X6
| X0 != X2 ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vvar(X1) = X4
& X3 = X6
& X0 = X2 )
=> ( X0 = X1
=> ( vsubst(X2,X3,X4) = X5
=> X5 = X6 ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X8,X20,X0,X3,X5,X18,X10] :
( ( vvar(X20) = X5
& X3 = X10
& X0 = X8 )
=> ( X8 = X20
=> ( vsubst(X0,X3,X5) = X18
=> X10 = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f692,plain,
( ~ vtcheck(sK14,vsubst(sK15,sK16,vvar(sK15)),sK18)
| ~ spl93_1 ),
inference(backward_demodulation,[],[f292,f615]) ).
fof(f615,plain,
( sK15 = sK17
| ~ spl93_1 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl93_1
<=> sK15 = sK17 ),
introduced(avatar_definition,[new_symbols(naming,[spl93_1])]) ).
fof(f292,plain,
~ vtcheck(sK14,vsubst(sK15,sK16,vvar(sK17)),sK18),
inference(cnf_transformation,[],[f219]) ).
fof(f3001,plain,
~ spl93_7,
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| ~ spl93_7 ),
inference(subsumption_resolution,[],[f2998,f365]) ).
fof(f365,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(f2998,plain,
( vvar(sK15) = vabs(sK44(vbind(sK15,sK13,sK14),sK18,vvar(sK15)),sK46(vbind(sK15,sK13,sK14),sK18,vvar(sK15)),sK45(vbind(sK15,sK13,sK14),sK18,vvar(sK15)))
| ~ spl93_7 ),
inference(resolution,[],[f2847,f343]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| vabs(sK44(X0,X1,X2),sK46(X0,X1,X2),sK45(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2] :
( ( vtcheck(vbind(sK44(X0,X1,X2),sK46(X0,X1,X2),X0),sK45(X0,X1,X2),sK47(X0,X1,X2))
& varrow(sK46(X0,X1,X2),sK47(X0,X1,X2)) = X1
& vabs(sK44(X0,X1,X2),sK46(X0,X1,X2),sK45(X0,X1,X2)) = X2 )
| ~ sP5(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47])],[f245,f246]) ).
fof(f246,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(sK44(X0,X1,X2),sK46(X0,X1,X2),X0),sK45(X0,X1,X2),sK47(X0,X1,X2))
& varrow(sK46(X0,X1,X2),sK47(X0,X1,X2)) = X1
& vabs(sK44(X0,X1,X2),sK46(X0,X1,X2),sK45(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f245,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,[],[f244]) ).
fof(f244,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,[],[f207]) ).
fof(f207,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(f2847,plain,
( sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15))
| ~ spl93_7 ),
inference(avatar_component_clause,[],[f2845]) ).
fof(f2845,plain,
( spl93_7
<=> sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_7])]) ).
fof(f2995,plain,
( spl93_8
| spl93_7
| ~ spl93_1 ),
inference(avatar_split_clause,[],[f2990,f613,f2845,f2992]) ).
fof(f2990,plain,
( sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15))
| vsomeType(sK18) = vlookup(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),vbind(sK15,sK13,sK14))
| ~ spl93_1 ),
inference(subsumption_resolution,[],[f2982,f339]) ).
fof(f339,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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(f2982,plain,
( sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15))
| vsomeType(sK18) = vlookup(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),vbind(sK15,sK13,sK14))
| vvar(sK15) = vapp(sK48(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),sK49(vvar(sK15),sK18,vbind(sK15,sK13,sK14)))
| ~ spl93_1 ),
inference(resolution,[],[f347,f691]) ).
fof(f691,plain,
( vtcheck(vbind(sK15,sK13,sK14),vvar(sK15),sK18)
| ~ spl93_1 ),
inference(backward_demodulation,[],[f291,f615]) ).
fof(f291,plain,
vtcheck(vbind(sK15,sK13,sK14),vvar(sK17),sK18),
inference(cnf_transformation,[],[f219]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP5(X2,X1,X0)
| vsomeType(X1) = vlookup(sK51(X0,X1,X2),X2)
| vapp(sK48(X0,X1,X2),sK49(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ( vtcheck(X2,sK49(X0,X1,X2),sK50(X0,X1,X2))
& vtcheck(X2,sK48(X0,X1,X2),varrow(sK50(X0,X1,X2),X1))
& vapp(sK48(X0,X1,X2),sK49(X0,X1,X2)) = X0 )
| sP5(X2,X1,X0)
| ( vsomeType(X1) = vlookup(sK51(X0,X1,X2),X2)
& vvar(sK51(X0,X1,X2)) = X0 )
| ~ vtcheck(X2,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51])],[f248,f250,f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 )
=> ( vtcheck(X2,sK49(X0,X1,X2),sK50(X0,X1,X2))
& vtcheck(X2,sK48(X0,X1,X2),varrow(sK50(X0,X1,X2),X1))
& vapp(sK48(X0,X1,X2),sK49(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ? [X6] :
( vsomeType(X1) = vlookup(X6,X2)
& vvar(X6) = X0 )
=> ( vsomeType(X1) = vlookup(sK51(X0,X1,X2),X2)
& vvar(sK51(X0,X1,X2)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f248,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,[],[f208]) ).
fof(f208,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,[],[f136,f207]) ).
fof(f136,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,[],[f135]) ).
fof(f135,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,[],[f80]) ).
fof(f80,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(f2848,plain,
( spl93_6
| spl93_7
| ~ spl93_1 ),
inference(avatar_split_clause,[],[f2839,f613,f2845,f2841]) ).
fof(f2839,plain,
( sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15))
| vvar(sK15) = vvar(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)))
| ~ spl93_1 ),
inference(subsumption_resolution,[],[f2820,f339]) ).
fof(f2820,plain,
( sP5(vbind(sK15,sK13,sK14),sK18,vvar(sK15))
| vvar(sK15) = vvar(sK51(vvar(sK15),sK18,vbind(sK15,sK13,sK14)))
| vvar(sK15) = vapp(sK48(vvar(sK15),sK18,vbind(sK15,sK13,sK14)),sK49(vvar(sK15),sK18,vbind(sK15,sK13,sK14)))
| ~ spl93_1 ),
inference(resolution,[],[f346,f691]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP5(X2,X1,X0)
| vvar(sK51(X0,X1,X2)) = X0
| vapp(sK48(X0,X1,X2),sK49(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f251]) ).
fof(f688,plain,
( spl93_1
| spl93_2 ),
inference(avatar_split_clause,[],[f687,f617,f613]) ).
fof(f617,plain,
( spl93_2
<=> vtcheck(sK14,vvar(sK17),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).
fof(f687,plain,
( sK15 = sK17
| spl93_2 ),
inference(resolution,[],[f686,f480]) ).
fof(f686,plain,
( visFreeVar(sK15,vvar(sK17))
| spl93_2 ),
inference(subsumption_resolution,[],[f683,f619]) ).
fof(f619,plain,
( ~ vtcheck(sK14,vvar(sK17),sK18)
| spl93_2 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f683,plain,
( vtcheck(sK14,vvar(sK17),sK18)
| visFreeVar(sK15,vvar(sK17)) ),
inference(resolution,[],[f412,f291]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| vtcheck(X2,X3,X4)
| visFreeVar(X0,X3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X2,X3,X4)
| ~ vtcheck(vbind(X0,X1,X2),X3,X4)
| visFreeVar(X0,X3) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(vbind(X0,X1,X2),X3,X4)
& ~ visFreeVar(X0,X3) )
=> vtcheck(X2,X3,X4) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X8,X9,X19,X10,X14] :
( ( vtcheck(vbind(X8,X9,X19),X10,X14)
& ~ visFreeVar(X8,X10) )
=> vtcheck(X19,X10,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f620,plain,
( spl93_1
| ~ spl93_2 ),
inference(avatar_split_clause,[],[f611,f617,f613]) ).
fof(f611,plain,
( ~ vtcheck(sK14,vvar(sK17),sK18)
| sK15 = sK17 ),
inference(superposition,[],[f292,f523]) ).
fof(f523,plain,
! [X2,X3,X6] :
( vvar(X6) = vsubst(X2,X3,vvar(X6))
| X2 = X6 ),
inference(equality_resolution,[],[f522]) ).
fof(f522,plain,
! [X2,X3,X1,X6] :
( vvar(X6) = vsubst(X2,X3,vvar(X6))
| X1 = X6
| X1 != X2 ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X2,X3,X0,X1,X6] :
( vvar(X6) = vsubst(X2,X3,vvar(X6))
| X1 = X6
| X0 != X3
| X1 != X2 ),
inference(equality_resolution,[],[f520]) ).
fof(f520,plain,
! [X2,X3,X0,X1,X6,X4] :
( vvar(X6) = vsubst(X2,X3,X4)
| X1 = X6
| vvar(X6) != X4
| X0 != X3
| X1 != X2 ),
inference(equality_resolution,[],[f435]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vvar(X6) = X5
| vsubst(X2,X3,X4) != X5
| X1 = X6
| vvar(X6) != X4
| X0 != X3
| X1 != X2 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X6) = X5
| vsubst(X2,X3,X4) != X5
| X1 = X6
| vvar(X6) != X4
| X0 != X3
| X1 != X2 ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vvar(X6) = X5
| vsubst(X2,X3,X4) != X5
| X1 = X6
| vvar(X6) != X4
| X0 != X3
| X1 != X2 ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vvar(X6) = X4
& X0 = X3
& X1 = X2 )
=> ( X1 != X6
=> ( vsubst(X2,X3,X4) = X5
=> vvar(X6) = X5 ) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X10,X8,X0,X3,X5,X18,X20] :
( ( vvar(X20) = X5
& X3 = X10
& X0 = X8 )
=> ( X8 != X20
=> ( vsubst(X0,X3,X5) = X18
=> vvar(X20) = X18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM135+1 : TPTP v8.2.0. Released v6.4.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n017.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 : Thu Jun 20 23:44:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2781)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2784)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2782)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)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2783)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)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2780)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)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2785)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)
% 0.22/0.42 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2786)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)
% 0.22/0.48 % (2786)Instruction limit reached!
% 0.22/0.48 % (2786)------------------------------
% 0.22/0.48 % (2786)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (2786)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (2786)Termination reason: Time limit
% 0.22/0.48 % (2786)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2786)Memory used [KB]: 2069
% 0.22/0.48 % (2786)Time elapsed: 0.061 s
% 0.22/0.48 % (2786)Instructions burned: 127 (million)
% 0.22/0.48 % (2784)Instruction limit reached!
% 0.22/0.48 % (2784)------------------------------
% 0.22/0.48 % (2784)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (2784)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (2784)Termination reason: Time limit
% 0.22/0.48 % (2784)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (2784)Memory used [KB]: 2079
% 0.22/0.48 % (2784)Time elapsed: 0.064 s
% 0.22/0.48 % (2784)Instructions burned: 109 (million)
% 0.22/0.49 % (2785)Instruction limit reached!
% 0.22/0.49 % (2785)------------------------------
% 0.22/0.49 % (2785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (2785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (2785)Termination reason: Time limit
% 0.22/0.49 % (2785)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (2785)Memory used [KB]: 2482
% 0.22/0.49 % (2785)Time elapsed: 0.076 s
% 0.22/0.49 % (2785)Instructions burned: 132 (million)
% 0.22/0.51 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51 % (2787)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.22/0.52 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (2788)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.22/0.53 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53 % (2789)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)
% 0.22/0.53 % (2789)Refutation not found, incomplete strategy% (2789)------------------------------
% 0.22/0.53 % (2789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53 % (2789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53 % (2789)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53
% 0.22/0.53 % (2789)Memory used [KB]: 1370
% 0.22/0.53 % (2789)Time elapsed: 0.005 s
% 0.22/0.53 % (2789)Instructions burned: 10 (million)
% 0.22/0.53 % (2789)------------------------------
% 0.22/0.53 % (2789)------------------------------
% 0.22/0.53 % (2783)First to succeed.
% 0.22/0.54 % (2783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2779"
% 0.22/0.54 % (2779)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54 % (2783)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (2783)------------------------------
% 0.22/0.54 % (2783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.54 % (2783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.54 % (2783)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (2783)Memory used [KB]: 4182
% 0.22/0.54 % (2783)Time elapsed: 0.118 s
% 0.22/0.54 % (2783)Instructions burned: 251 (million)
% 0.22/0.54 % (2783)------------------------------
% 0.22/0.54 % (2783)------------------------------
% 0.22/0.54 % (2779)Success in time 0.164 s
%------------------------------------------------------------------------------