%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM148+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:39:40 AM UTC 2026
% Result : Theorem 6.09s 1.82s
% Output : Refutation 8.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 32
% Syntax : Number of formulae : 216 ( 34 unt; 16 def)
% Number of atoms : 603 ( 268 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 678 ( 291 ~; 293 |; 57 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-3 aty)
% Number of variables : 385 ( 0 sgn 323 !; 62 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
=> ( X0 = X2
& X1 = X3 ) )
& ( ( X0 = X2
& X1 = X3 )
=> vapp(X0,X1) = vapp(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-app') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-abs-app') ).
fof(f9,axiom,
! [X0,X1,X2] :
( X2 = vapp(X0,X1)
=> ~ visValue(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isValue2) ).
fof(f18,axiom,
! [X0] : vnoType != vsomeType(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noType-someType') ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( X1 = X0
& X2 = vempty )
=> ( X3 = vlookup(X1,X2)
=> X3 = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup0) ).
fof(f39,axiom,
! [X0] :
( X0 = vnoExp
=> ~ visSomeExp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp0) ).
fof(f40,axiom,
! [X0,X1] :
( X1 = vsomeExp(X0)
=> visSomeExp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp1) ).
fof(f43,axiom,
! [X0,X1,X2,X3,X4] :
( X3 = vabs(X0,X1,X2)
=> ( X4 = vreduce(X3)
=> X4 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce1) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( X1 = vapp(vabs(X3,X4,X5),X0)
=> ( ( X6 = vreduce(X0)
& visSomeExp(X6) )
=> ( X2 = vreduce(X1)
=> X2 = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce2) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( X2 = vapp(vabs(X4,X0,X6),X5)
=> ( ( X1 = vreduce(X5)
& ~ visSomeExp(X1)
& visValue(X5) )
=> ( X3 = vreduce(X2)
=> X3 = vsomeExp(vsubst(X4,X5,X6)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce3) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( ( X1 = vapp(X0,X4)
& ! [X5,X6,X7] : X0 != vabs(X5,X6,X7) )
=> ( ( X3 = vreduce(X0)
& visSomeExp(X3) )
=> ( X2 = vreduce(X1)
=> X2 = vsomeExp(vapp(vgetSomeExp(X3),X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduce5) ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X3,X4,X5,X6] :
( X0 = vabs(X3,X5,X4)
& X1 = varrow(X5,X6)
& vtcheck(vbind(X3,X5,X2),X4,X6) )
| ? [X7,X4,X8] :
( X0 = vapp(X7,X4)
& vtcheck(X2,X7,varrow(X8,X1))
& vtcheck(X2,X4,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv') ).
fof(f57,axiom,
! [X0] :
( ( vtcheck(vempty,ve1,X0)
& ~ visValue(ve1) )
=> ? [X1] : vreduce(ve1) = vsomeExp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app-IH1') ).
fof(f58,axiom,
! [X0] :
( ( vtcheck(vempty,ve2,X0)
& ~ visValue(ve2) )
=> ? [X1] : vreduce(ve2) = vsomeExp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app-IH2') ).
fof(f59,conjecture,
! [X0] :
( ( vtcheck(vempty,vapp(ve1,ve2),X0)
& ~ visValue(vapp(ve1,ve2)) )
=> ? [X1] : vreduce(vapp(ve1,ve2)) = vsomeExp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Progress-T-app') ).
fof(f60,negated_conjecture,
~ ! [X0] :
( ( vtcheck(vempty,vapp(ve1,ve2),X0)
& ~ visValue(vapp(ve1,ve2)) )
=> ? [X1] : vreduce(vapp(ve1,ve2)) = vsomeExp(X1) ),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f67,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ visValue(X2)
| vapp(X0,X1) != X2 ),
inference(ennf_transformation,[],[f9]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( X3 = vnoType
| vlookup(X1,X2) != X3
| X0 != X1
| vempty != X2 ),
inference(ennf_transformation,[],[f22]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( X3 = vnoType
| vlookup(X1,X2) != X3
| X0 != X1
| vempty != X2 ),
inference(flattening,[],[f89]) ).
fof(f117,plain,
! [X0] :
( ~ visSomeExp(X0)
| vnoExp != X0 ),
inference(ennf_transformation,[],[f39]) ).
fof(f118,plain,
! [X0,X1] :
( visSomeExp(X1)
| vsomeExp(X0) != X1 ),
inference(ennf_transformation,[],[f40]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( X4 = vnoExp
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(ennf_transformation,[],[f43]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( X4 = vnoExp
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X2 = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6)))
| vreduce(X1) != X2
| vreduce(X0) != X6
| ~ visSomeExp(X6)
| vapp(vabs(X3,X4,X5),X0) != X1 ),
inference(ennf_transformation,[],[f44]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X2 = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6)))
| vreduce(X1) != X2
| vreduce(X0) != X6
| ~ visSomeExp(X6)
| vapp(vabs(X3,X4,X5),X0) != X1 ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X3 = vsomeExp(vsubst(X4,X5,X6))
| vreduce(X2) != X3
| vreduce(X5) != X1
| visSomeExp(X1)
| ~ visValue(X5)
| vapp(vabs(X4,X0,X6),X5) != X2 ),
inference(ennf_transformation,[],[f45]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X3 = vsomeExp(vsubst(X4,X5,X6))
| vreduce(X2) != X3
| vreduce(X5) != X1
| visSomeExp(X1)
| ~ visValue(X5)
| vapp(vabs(X4,X0,X6),X5) != X2 ),
inference(flattening,[],[f127]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4] :
( X2 = vsomeExp(vapp(vgetSomeExp(X3),X4))
| vreduce(X1) != X2
| vreduce(X0) != X3
| ~ visSomeExp(X3)
| vapp(X0,X4) != X1
| ? [X5,X6,X7] : vabs(X5,X6,X7) = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4] :
( X2 = vsomeExp(vapp(vgetSomeExp(X3),X4))
| vreduce(X1) != X2
| vreduce(X0) != X3
| ~ visSomeExp(X3)
| vapp(X0,X4) != X1
| ? [X5,X6,X7] : vabs(X5,X6,X7) = X0 ),
inference(flattening,[],[f131]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f149,plain,
! [X0] :
( ? [X1] : vreduce(ve1) = vsomeExp(X1)
| ~ vtcheck(vempty,ve1,X0)
| visValue(ve1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f150,plain,
! [X0] :
( ? [X1] : vreduce(ve1) = vsomeExp(X1)
| ~ vtcheck(vempty,ve1,X0)
| visValue(ve1) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ? [X1] : vreduce(ve2) = vsomeExp(X1)
| ~ vtcheck(vempty,ve2,X0)
| visValue(ve2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f152,plain,
! [X0] :
( ? [X1] : vreduce(ve2) = vsomeExp(X1)
| ~ vtcheck(vempty,ve2,X0)
| visValue(ve2) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
? [X0] :
( ! [X1] : vsomeExp(X1) != vreduce(vapp(ve1,ve2))
& vtcheck(vempty,vapp(ve1,ve2),X0)
& ~ visValue(vapp(ve1,ve2)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f154,plain,
? [X0] :
( ! [X1] : vsomeExp(X1) != vreduce(vapp(ve1,ve2))
& vtcheck(vempty,vapp(ve1,ve2),X0)
& ~ visValue(vapp(ve1,ve2)) ),
inference(flattening,[],[f153]) ).
fof(f170,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f144,f170]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] :
( X2 = vsomeExp(vapp(vgetSomeExp(X3),X4))
| vreduce(X1) != X2
| vreduce(X0) != X3
| ~ visSomeExp(X3)
| vapp(X0,X4) != X1
| vabs(sK48(X0),sK49(X0),sK50(X0)) = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49,sK50]),skolemize(X5,sK48(X0)),skolemize(X6,sK49(X0)),skolemize(X7,sK50(X0))],[f132]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP12(X0,X1,X2) ),
inference(nnf_transformation,[],[f170]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP12(X0,X1,X2) ),
inference(rectify,[],[f213]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2)) )
| ~ sP12(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X3,sK79(X0,X1,X2)),skolemize(X4,sK80(X0,X1,X2)),skolemize(X5,sK81(X0,X1,X2))],[f214]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ( vvar(sK82(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) )
| ( vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2)) )
| sP12(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86]),skolemize(X3,sK82(X0,X1,X2)),skolemize(X4,sK83(X0,X1,X2)),skolemize(X5,sK84(X0,X1,X2)),skolemize(X6,sK85(X0,X1,X2)),skolemize(X7,sK86(X0,X1,X2))],[f171]) ).
fof(f217,plain,
! [X0] :
( vreduce(ve1) = vsomeExp(sK87)
| ~ vtcheck(vempty,ve1,X0)
| visValue(ve1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(X1,sK87)],[f150]) ).
fof(f218,plain,
! [X0] :
( vreduce(ve2) = vsomeExp(sK88)
| ~ vtcheck(vempty,ve2,X0)
| visValue(ve2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(X1,sK88)],[f152]) ).
fof(f219,plain,
( ! [X1] : vsomeExp(X1) != vreduce(vapp(ve1,ve2))
& vtcheck(vempty,vapp(ve1,ve2),sK89)
& ~ visValue(vapp(ve1,ve2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(X0,sK89)],[f154]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f72]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f230,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ visValue(X2)
| vapp(X0,X1) != X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f252,plain,
! [X0] : vnoType != vsomeType(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( vnoType = X3
| vlookup(X1,X2) != X3
| X0 != X1
| vempty != X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f315,plain,
! [X0] :
( ~ visSomeExp(X0)
| vnoExp != X0 ),
inference(cnf_transformation,[],[f117]) ).
fof(f316,plain,
! [X0,X1] :
( visSomeExp(X1)
| vsomeExp(X0) != X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( vnoExp = X4
| vreduce(X3) != X4
| vabs(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f124]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6))) = X2
| vreduce(X1) != X2
| vreduce(X0) != X6
| ~ visSomeExp(X6)
| vapp(vabs(X3,X4,X5),X0) != X1 ),
inference(cnf_transformation,[],[f126]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vsomeExp(vsubst(X4,X5,X6)) = X3
| vreduce(X2) != X3
| vreduce(X5) != X1
| visSomeExp(X1)
| ~ visValue(X5)
| vapp(vabs(X4,X0,X6),X5) != X2 ),
inference(cnf_transformation,[],[f128]) ).
fof(f323,plain,
! [X2,X3,X0,X1,X4] :
( vsomeExp(vapp(vgetSomeExp(X3),X4)) = X2
| vreduce(X1) != X2
| vreduce(X0) != X3
| ~ visSomeExp(X3)
| vapp(X0,X4) != X1
| vabs(sK48(X0),sK49(X0),sK50(X0)) = X0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f359,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
fof(f360,plain,
! [X2,X0,X1] :
( vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f215]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f216]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| sP12(X0,X1,X2)
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f216]) ).
fof(f370,plain,
! [X0] :
( vreduce(ve1) = vsomeExp(sK87)
| ~ vtcheck(vempty,ve1,X0)
| visValue(ve1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f371,plain,
! [X0] :
( vreduce(ve2) = vsomeExp(sK88)
| ~ vtcheck(vempty,ve2,X0)
| visValue(ve2) ),
inference(cnf_transformation,[],[f218]) ).
fof(f373,plain,
vtcheck(vempty,vapp(ve1,ve2),sK89),
inference(cnf_transformation,[],[f219]) ).
fof(f374,plain,
! [X1] : vsomeExp(X1) != vreduce(vapp(ve1,ve2)),
inference(cnf_transformation,[],[f219]) ).
fof(f383,plain,
! [X0,X1] : ~ visValue(vapp(X0,X1)),
inference(equality_resolution,[],[f234]) ).
fof(f410,plain,
! [X2,X0,X1] :
( vnoType = vlookup(X1,X2)
| X0 != X1
| vempty != X2 ),
inference(equality_resolution,[],[f256]) ).
fof(f411,plain,
! [X2,X1] :
( vnoType = vlookup(X1,X2)
| vempty != X2 ),
inference(equality_resolution,[],[f410]) ).
fof(f412,plain,
! [X1] : vnoType = vlookup(X1,vempty),
inference(equality_resolution,[],[f411]) ).
fof(f457,plain,
~ visSomeExp(vnoExp),
inference(equality_resolution,[],[f315]) ).
fof(f458,plain,
! [X0] : visSomeExp(vsomeExp(X0)),
inference(equality_resolution,[],[f316]) ).
fof(f463,plain,
! [X2,X3,X0,X1] :
( vnoExp = vreduce(X3)
| vabs(X0,X1,X2) != X3 ),
inference(equality_resolution,[],[f319]) ).
fof(f464,plain,
! [X2,X0,X1] : vnoExp = vreduce(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f463]) ).
fof(f465,plain,
! [X3,X0,X1,X6,X4,X5] :
( vreduce(X1) = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(X6)))
| vreduce(X0) != X6
| ~ visSomeExp(X6)
| vapp(vabs(X3,X4,X5),X0) != X1 ),
inference(equality_resolution,[],[f320]) ).
fof(f466,plain,
! [X3,X0,X1,X4,X5] :
( vreduce(X1) = vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(vreduce(X0))))
| ~ visSomeExp(vreduce(X0))
| vapp(vabs(X3,X4,X5),X0) != X1 ),
inference(equality_resolution,[],[f465]) ).
fof(f467,plain,
! [X3,X0,X4,X5] :
( ~ visSomeExp(vreduce(X0))
| vsomeExp(vapp(vabs(X3,X4,X5),vgetSomeExp(vreduce(X0)))) = vreduce(vapp(vabs(X3,X4,X5),X0)) ),
inference(equality_resolution,[],[f466]) ).
fof(f468,plain,
! [X2,X0,X1,X6,X4,X5] :
( vreduce(X2) = vsomeExp(vsubst(X4,X5,X6))
| vreduce(X5) != X1
| visSomeExp(X1)
| ~ visValue(X5)
| vapp(vabs(X4,X0,X6),X5) != X2 ),
inference(equality_resolution,[],[f321]) ).
fof(f469,plain,
! [X2,X0,X6,X4,X5] :
( vreduce(X2) = vsomeExp(vsubst(X4,X5,X6))
| visSomeExp(vreduce(X5))
| ~ visValue(X5)
| vapp(vabs(X4,X0,X6),X5) != X2 ),
inference(equality_resolution,[],[f468]) ).
fof(f470,plain,
! [X0,X6,X4,X5] :
( visSomeExp(vreduce(X5))
| vsomeExp(vsubst(X4,X5,X6)) = vreduce(vapp(vabs(X4,X0,X6),X5))
| ~ visValue(X5) ),
inference(equality_resolution,[],[f469]) ).
fof(f474,plain,
! [X3,X0,X1,X4] :
( vreduce(X1) = vsomeExp(vapp(vgetSomeExp(X3),X4))
| vreduce(X0) != X3
| ~ visSomeExp(X3)
| vapp(X0,X4) != X1
| vabs(sK48(X0),sK49(X0),sK50(X0)) = X0 ),
inference(equality_resolution,[],[f323]) ).
fof(f475,plain,
! [X0,X1,X4] :
( vreduce(X1) = vsomeExp(vapp(vgetSomeExp(vreduce(X0)),X4))
| ~ visSomeExp(vreduce(X0))
| vapp(X0,X4) != X1
| vabs(sK48(X0),sK49(X0),sK50(X0)) = X0 ),
inference(equality_resolution,[],[f474]) ).
fof(f476,plain,
! [X0,X4] :
( ~ visSomeExp(vreduce(X0))
| vsomeExp(vapp(vgetSomeExp(vreduce(X0)),X4)) = vreduce(vapp(X0,X4))
| vabs(sK48(X0),sK49(X0),sK50(X0)) = X0 ),
inference(equality_resolution,[],[f475]) ).
fof(f486,definition,
sF90 = vapp(ve1,ve2),
introduced(definition,[new_symbols(definition,[sF90])],[function_definition]) ).
fof(f487,plain,
vapp(ve1,ve2) = sF90,
inference(reorient_equations,[],[f486]) ).
fof(f488,definition,
sF91 = vreduce(sF90),
introduced(definition,[new_symbols(definition,[sF91])],[function_definition]) ).
fof(f489,plain,
vreduce(sF90) = sF91,
inference(reorient_equations,[],[f488]) ).
fof(f490,plain,
! [X1] : vsomeExp(X1) != sF91,
inference(definition_folding,[],[f374,f489,f487]) ).
fof(f491,plain,
vtcheck(vempty,sF90,sK89),
inference(definition_folding,[],[f373,f487]) ).
fof(f495,definition,
( spl92_1
<=> visValue(ve2) ),
introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).
fof(f497,plain,
( visValue(ve2)
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f499,definition,
( spl92_2
<=> ! [X0] : ~ vtcheck(vempty,ve2,X0) ),
introduced(definition,[new_symbols(definition,[spl92_2])],[avatar_definition]) ).
fof(f500,plain,
( ! [X0] : ~ vtcheck(vempty,ve2,X0)
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f502,definition,
( spl92_3
<=> vreduce(ve2) = vsomeExp(sK88) ),
introduced(definition,[new_symbols(definition,[spl92_3])],[avatar_definition]) ).
fof(f504,plain,
( vreduce(ve2) = vsomeExp(sK88)
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl92_1
| spl92_2
| spl92_3 ),
inference(avatar_split_clause,[],[f371,f502,f499,f495]) ).
fof(f507,definition,
( spl92_4
<=> visValue(ve1) ),
introduced(definition,[new_symbols(definition,[spl92_4])],[avatar_definition]) ).
fof(f509,plain,
( visValue(ve1)
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl92_5
<=> ! [X0] : ~ vtcheck(vempty,ve1,X0) ),
introduced(definition,[new_symbols(definition,[spl92_5])],[avatar_definition]) ).
fof(f512,plain,
( ! [X0] : ~ vtcheck(vempty,ve1,X0)
| ~ spl92_5 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,definition,
( spl92_6
<=> vreduce(ve1) = vsomeExp(sK87) ),
introduced(definition,[new_symbols(definition,[spl92_6])],[avatar_definition]) ).
fof(f516,plain,
( vreduce(ve1) = vsomeExp(sK87)
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( spl92_4
| spl92_5
| spl92_6 ),
inference(avatar_split_clause,[],[f370,f514,f511,f507]) ).
fof(f519,plain,
( sF90 = vabs(sK83(sF90,sK89,vempty),sK85(sF90,sK89,vempty),sK84(sF90,sK89,vempty))
| sP12(sF90,sK89,vempty)
| sF90 = vvar(sK82(sF90,sK89,vempty)) ),
inference(resolution,[],[f367,f491]) ).
fof(f521,definition,
( spl92_7
<=> sF90 = vvar(sK82(sF90,sK89,vempty)) ),
introduced(definition,[new_symbols(definition,[spl92_7])],[avatar_definition]) ).
fof(f523,plain,
( sF90 = vvar(sK82(sF90,sK89,vempty))
| ~ spl92_7 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f525,definition,
( spl92_8
<=> sP12(sF90,sK89,vempty) ),
introduced(definition,[new_symbols(definition,[spl92_8])],[avatar_definition]) ).
fof(f527,plain,
( sP12(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl92_9
<=> sF90 = vabs(sK83(sF90,sK89,vempty),sK85(sF90,sK89,vempty),sK84(sF90,sK89,vempty)) ),
introduced(definition,[new_symbols(definition,[spl92_9])],[avatar_definition]) ).
fof(f531,plain,
( sF90 = vabs(sK83(sF90,sK89,vempty),sK85(sF90,sK89,vempty),sK84(sF90,sK89,vempty))
| ~ spl92_9 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( spl92_7
| spl92_8
| spl92_9 ),
inference(avatar_split_clause,[],[f519,f529,f525,f521]) ).
fof(f534,plain,
! [X0,X1] :
( vapp(X0,X1) != sF90
| ve1 = X0 ),
inference(superposition,[],[f228,f487]) ).
fof(f537,plain,
! [X0,X1] :
( vapp(X0,X1) != sF90
| ve2 = X1 ),
inference(superposition,[],[f227,f487]) ).
fof(f539,plain,
( ! [X0,X1] : vapp(X0,X1) != sF90
| ~ spl92_7 ),
inference(superposition,[],[f230,f523]) ).
fof(f541,plain,
( sF90 != sF90
| ~ spl92_7 ),
inference(superposition,[],[f539,f487]) ).
fof(f542,plain,
( $false
| ~ spl92_7 ),
inference(trivial_inequality_removal,[],[f541]) ).
fof(f543,plain,
~ spl92_7,
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f585,definition,
( spl92_14
<=> sP12(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty) ),
introduced(definition,[new_symbols(definition,[spl92_14])],[avatar_definition]) ).
fof(f587,plain,
( sP12(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)
| ~ spl92_14 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f589,definition,
( spl92_15
<=> ve1 = vabs(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK85(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)) ),
introduced(definition,[new_symbols(definition,[spl92_15])],[avatar_definition]) ).
fof(f591,plain,
( ve1 = vabs(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK85(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty))
| ~ spl92_15 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f602,plain,
( ! [X0,X1] : vapp(X0,X1) != sF90
| ~ spl92_9 ),
inference(superposition,[],[f231,f531]) ).
fof(f613,plain,
( sF90 != sF90
| ~ spl92_9 ),
inference(superposition,[],[f602,f487]) ).
fof(f614,plain,
( $false
| ~ spl92_9 ),
inference(trivial_inequality_removal,[],[f613]) ).
fof(f615,plain,
~ spl92_9,
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f616,plain,
( sF90 = vapp(sK79(sF90,sK89,vempty),sK80(sF90,sK89,vempty))
| ~ spl92_8 ),
inference(resolution,[],[f527,f361]) ).
fof(f626,plain,
( sF90 != sF90
| ve1 = sK79(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(superposition,[],[f534,f616]) ).
fof(f627,plain,
( sF90 != sF90
| ve2 = sK80(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(superposition,[],[f537,f616]) ).
fof(f628,plain,
( ve2 = sK80(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(trivial_inequality_removal,[],[f627]) ).
fof(f629,plain,
( ve1 = sK79(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(trivial_inequality_removal,[],[f626]) ).
fof(f637,plain,
( vtcheck(vempty,ve2,sK81(sF90,sK89,vempty))
| ~ sP12(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(superposition,[],[f359,f628]) ).
fof(f638,plain,
( ~ sP12(sF90,sK89,vempty)
| ~ spl92_2
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f637,f500]) ).
fof(f640,plain,
( $false
| ~ spl92_2
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f638,f527]) ).
fof(f641,plain,
( ~ spl92_2
| ~ spl92_8 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f642,plain,
( vtcheck(vempty,ve2,sK81(sF90,sK89,vempty))
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f637,f527]) ).
fof(f643,plain,
( visSomeExp(vreduce(ve2))
| ~ spl92_3 ),
inference(superposition,[],[f458,f504]) ).
fof(f654,plain,
( ve2 = vabs(sK83(ve2,sK81(sF90,sK89,vempty),vempty),sK85(ve2,sK81(sF90,sK89,vempty),vempty),sK84(ve2,sK81(sF90,sK89,vempty),vempty))
| sP12(ve2,sK81(sF90,sK89,vempty),vempty)
| vsomeType(sK81(sF90,sK89,vempty)) = vlookup(sK82(ve2,sK81(sF90,sK89,vempty),vempty),vempty)
| ~ spl92_8 ),
inference(resolution,[],[f642,f364]) ).
fof(f662,definition,
( spl92_20
<=> sP12(ve2,sK81(sF90,sK89,vempty),vempty) ),
introduced(definition,[new_symbols(definition,[spl92_20])],[avatar_definition]) ).
fof(f664,plain,
( sP12(ve2,sK81(sF90,sK89,vempty),vempty)
| ~ spl92_20 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl92_21
<=> ve2 = vabs(sK83(ve2,sK81(sF90,sK89,vempty),vempty),sK85(ve2,sK81(sF90,sK89,vempty),vempty),sK84(ve2,sK81(sF90,sK89,vempty),vempty)) ),
introduced(definition,[new_symbols(definition,[spl92_21])],[avatar_definition]) ).
fof(f668,plain,
( ve2 = vabs(sK83(ve2,sK81(sF90,sK89,vempty),vempty),sK85(ve2,sK81(sF90,sK89,vempty),vempty),sK84(ve2,sK81(sF90,sK89,vempty),vempty))
| ~ spl92_21 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f675,plain,
( vnoType = vsomeType(sK81(sF90,sK89,vempty))
| ve2 = vabs(sK83(ve2,sK81(sF90,sK89,vempty),vempty),sK85(ve2,sK81(sF90,sK89,vempty),vempty),sK84(ve2,sK81(sF90,sK89,vempty),vempty))
| sP12(ve2,sK81(sF90,sK89,vempty),vempty)
| ~ spl92_8 ),
inference(forward_demodulation,[],[f654,f412]) ).
fof(f676,plain,
( ve2 = vabs(sK83(ve2,sK81(sF90,sK89,vempty),vempty),sK85(ve2,sK81(sF90,sK89,vempty),vempty),sK84(ve2,sK81(sF90,sK89,vempty),vempty))
| sP12(ve2,sK81(sF90,sK89,vempty),vempty)
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f675,f252]) ).
fof(f677,plain,
( spl92_20
| spl92_21
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f676,f525,f666,f662]) ).
fof(f679,plain,
( vtcheck(vempty,ve1,varrow(sK81(sF90,sK89,vempty),sK89))
| ~ sP12(sF90,sK89,vempty)
| ~ spl92_8 ),
inference(superposition,[],[f360,f629]) ).
fof(f680,plain,
( vtcheck(vempty,ve1,varrow(sK81(sF90,sK89,vempty),sK89))
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f679,f527]) ).
fof(f683,plain,
( ve1 = vabs(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK85(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty))
| sP12(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)
| vsomeType(varrow(sK81(sF90,sK89,vempty),sK89)) = vlookup(sK82(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),vempty)
| ~ spl92_8 ),
inference(resolution,[],[f680,f364]) ).
fof(f686,plain,
( vnoType = vsomeType(varrow(sK81(sF90,sK89,vempty),sK89))
| ve1 = vabs(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK85(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty))
| sP12(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)
| ~ spl92_8 ),
inference(forward_demodulation,[],[f683,f412]) ).
fof(f687,plain,
( ve1 = vabs(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK85(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty))
| sP12(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)
| ~ spl92_8 ),
inference(forward_subsumption_resolution,[],[f686,f252]) ).
fof(f688,plain,
( spl92_14
| spl92_15
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f687,f525,f589,f585]) ).
fof(f691,plain,
( ve2 = vapp(sK79(ve2,sK81(sF90,sK89,vempty),vempty),sK80(ve2,sK81(sF90,sK89,vempty),vempty))
| ~ spl92_20 ),
inference(resolution,[],[f664,f361]) ).
fof(f694,plain,
( ve1 = vapp(sK79(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),sK80(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty))
| ~ spl92_14 ),
inference(resolution,[],[f587,f361]) ).
fof(f703,plain,
( ~ visValue(ve2)
| ~ spl92_20 ),
inference(superposition,[],[f383,f691]) ).
fof(f722,plain,
( ~ spl92_1
| ~ spl92_20 ),
inference(avatar_split_clause,[],[f703,f662,f495]) ).
fof(f750,plain,
( ! [X2,X0,X1] : vabs(X0,X1,X2) != ve1
| ~ spl92_14 ),
inference(superposition,[],[f231,f694]) ).
fof(f751,plain,
( ~ visValue(ve1)
| ~ spl92_14 ),
inference(superposition,[],[f383,f694]) ).
fof(f770,plain,
( $false
| ~ spl92_4
| ~ spl92_14 ),
inference(forward_subsumption_resolution,[],[f751,f509]) ).
fof(f771,plain,
( ~ spl92_4
| ~ spl92_14 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f801,plain,
( ! [X2,X0,X1] : vsomeExp(vapp(vabs(X0,X1,X2),vgetSomeExp(vreduce(ve2)))) = vreduce(vapp(vabs(X0,X1,X2),ve2))
| ~ spl92_3 ),
inference(resolution,[],[f467,f643]) ).
fof(f804,plain,
( vreduce(vapp(ve1,ve2)) = vsomeExp(vapp(ve1,vgetSomeExp(vreduce(ve2))))
| ~ spl92_3
| ~ spl92_15 ),
inference(superposition,[],[f801,f591]) ).
fof(f810,plain,
( vreduce(sF90) = vsomeExp(vapp(ve1,vgetSomeExp(vreduce(ve2))))
| ~ spl92_3
| ~ spl92_15 ),
inference(forward_demodulation,[],[f804,f487]) ).
fof(f811,plain,
( sF91 = vsomeExp(vapp(ve1,vgetSomeExp(vreduce(ve2))))
| ~ spl92_3
| ~ spl92_15 ),
inference(forward_demodulation,[],[f810,f489]) ).
fof(f812,plain,
( $false
| ~ spl92_3
| ~ spl92_15 ),
inference(forward_subsumption_resolution,[],[f811,f490]) ).
fof(f813,plain,
( ~ spl92_3
| ~ spl92_15 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f814,plain,
( $false
| ~ spl92_5
| ~ spl92_8 ),
inference(resolution,[],[f512,f680]) ).
fof(f815,plain,
( ~ spl92_5
| ~ spl92_8 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f819,plain,
( visSomeExp(vreduce(ve1))
| ~ spl92_6 ),
inference(superposition,[],[f458,f516]) ).
fof(f831,plain,
( ! [X0] :
( vsomeExp(vapp(vgetSomeExp(vreduce(ve1)),X0)) = vreduce(vapp(ve1,X0))
| ve1 = vabs(sK48(ve1),sK49(ve1),sK50(ve1)) )
| ~ spl92_6 ),
inference(resolution,[],[f819,f476]) ).
fof(f832,plain,
( ! [X0] : vsomeExp(vapp(vgetSomeExp(vreduce(ve1)),X0)) = vreduce(vapp(ve1,X0))
| ~ spl92_6
| ~ spl92_14 ),
inference(forward_subsumption_resolution,[],[f831,f750]) ).
fof(f841,plain,
( ! [X0] : sF91 != vreduce(vapp(ve1,X0))
| ~ spl92_6
| ~ spl92_14 ),
inference(superposition,[],[f490,f832]) ).
fof(f842,plain,
( vreduce(sF90) != sF91
| ~ spl92_6
| ~ spl92_14 ),
inference(superposition,[],[f841,f487]) ).
fof(f843,plain,
( $false
| ~ spl92_6
| ~ spl92_14 ),
inference(forward_subsumption_resolution,[],[f842,f489]) ).
fof(f844,plain,
( ~ spl92_6
| ~ spl92_14 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f908,plain,
( vnoExp = vreduce(ve2)
| ~ spl92_21 ),
inference(superposition,[],[f464,f668]) ).
fof(f984,plain,
( ! [X2,X0,X1] :
( visSomeExp(vnoExp)
| vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))
| ~ visValue(ve2) )
| ~ spl92_21 ),
inference(superposition,[],[f470,f908]) ).
fof(f986,plain,
( ! [X2,X0,X1] :
( vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))
| ~ visValue(ve2) )
| ~ spl92_21 ),
inference(forward_subsumption_resolution,[],[f984,f457]) ).
fof(f989,plain,
( ! [X2,X0,X1] : vsomeExp(vsubst(X0,ve2,X1)) = vreduce(vapp(vabs(X0,X2,X1),ve2))
| ~ spl92_1
| ~ spl92_21 ),
inference(forward_subsumption_resolution,[],[f986,f497]) ).
fof(f993,plain,
( vreduce(vapp(ve1,ve2)) = vsomeExp(vsubst(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),ve2,sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)))
| ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(superposition,[],[f989,f591]) ).
fof(f1002,plain,
( vreduce(sF90) = vsomeExp(vsubst(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),ve2,sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)))
| ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(forward_demodulation,[],[f993,f487]) ).
fof(f1006,plain,
( sF91 = vsomeExp(vsubst(sK83(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty),ve2,sK84(ve1,varrow(sK81(sF90,sK89,vempty),sK89),vempty)))
| ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(forward_demodulation,[],[f1002,f489]) ).
fof(f1010,plain,
( $false
| ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(forward_subsumption_resolution,[],[f1006,f490]) ).
fof(f1011,plain,
( ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
cnf(s1,plain,
( spl92_1
| spl92_2
| spl92_3 ),
inference(sat_conversion,[],[f505]) ).
cnf(s2,plain,
( spl92_4
| spl92_5
| spl92_6 ),
inference(sat_conversion,[],[f517]) ).
cnf(s3,plain,
( spl92_7
| spl92_8
| spl92_9 ),
inference(sat_conversion,[],[f532]) ).
cnf(s4,plain,
~ spl92_7,
inference(sat_conversion,[],[f543]) ).
cnf(s8,plain,
~ spl92_9,
inference(sat_conversion,[],[f615]) ).
cnf(s9,plain,
( ~ spl92_2
| ~ spl92_8 ),
inference(sat_conversion,[],[f641]) ).
cnf(s13,plain,
( ~ spl92_8
| spl92_20
| spl92_21 ),
inference(sat_conversion,[],[f677]) ).
cnf(s14,plain,
( ~ spl92_8
| spl92_14
| spl92_15 ),
inference(sat_conversion,[],[f688]) ).
cnf(s18,plain,
( ~ spl92_1
| ~ spl92_20 ),
inference(sat_conversion,[],[f722]) ).
cnf(s22,plain,
( ~ spl92_4
| ~ spl92_14 ),
inference(sat_conversion,[],[f771]) ).
cnf(s26,plain,
( ~ spl92_3
| ~ spl92_15 ),
inference(sat_conversion,[],[f813]) ).
cnf(s27,plain,
( ~ spl92_5
| ~ spl92_8 ),
inference(sat_conversion,[],[f815]) ).
cnf(s29,plain,
( ~ spl92_6
| ~ spl92_14 ),
inference(sat_conversion,[],[f844]) ).
cnf(s42,plain,
( ~ spl92_1
| ~ spl92_15
| ~ spl92_21 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s44,plain,
spl92_8,
inference(rat,[],[s3,s8,s4]) ).
cnf(s46,plain,
~ spl92_5,
inference(rat,[],[s27,s44]) ).
cnf(s47,plain,
~ spl92_2,
inference(rat,[],[s9,s44]) ).
cnf(s48,plain,
( spl92_4
| spl92_6 ),
inference(rat,[],[s2,s46]) ).
cnf(s49,plain,
( spl92_1
| spl92_3 ),
inference(rat,[],[s1,s47]) ).
cnf(s50,plain,
~ spl92_14,
inference(rat,[],[s48,s22,s29]) ).
cnf(s51,plain,
spl92_15,
inference(rat,[],[s14,s44,s50]) ).
cnf(s53,plain,
~ spl92_3,
inference(rat,[],[s26,s51]) ).
cnf(s55,plain,
spl92_1,
inference(rat,[],[s49,s53]) ).
cnf(s56,plain,
~ spl92_20,
inference(rat,[],[s18,s55]) ).
cnf(s57,plain,
~ spl92_21,
inference(rat,[],[s42,s51,s55]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s13,s44,s57,s56]) ).
fof(f1012,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM148+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:58:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.09/1.82 % (816820)Detected formulas, will run a generic FOF schedule.
% 6.09/1.82 % (816831)dis-21_1_sil=8000:lcm=predicate:random_seed=433335523:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.09/1.82 % (816829)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1261008943:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.09/1.82 % (816830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2020578199:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.09/1.82 % (816828)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3498991086:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.09/1.82 % (816825)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1946185069:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.09/1.82 % (816827)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1147089411:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.09/1.82 % (816826)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=534321932:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.09/1.82 % (816828)Refutation not found, incomplete strategy
% 6.09/1.82 % (816828)------------------------------
% 6.09/1.82 % (816828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816828)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816828)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.82 % (816828)Time elapsed: 0.002 s
% 6.09/1.82 % (816828)Peak memory usage: 88 MB
% 6.09/1.82 % (816828)Instructions burned: 1 (million)
% 6.09/1.82 % (816831)Instruction limit reached!
% 6.09/1.82 % (816831)------------------------------
% 6.09/1.82 % (816831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816831)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816831)Termination reason: Instruction limit
% 6.09/1.82 % (816831)Termination phase: Saturation
% 6.09/1.82 % (816831)Time elapsed: 0.043 s
% 6.09/1.82 % (816831)Peak memory usage: 90 MB
% 6.09/1.82 % (816831)Instructions burned: 132 (million)
% 6.09/1.82 % (816829)Refutation not found, incomplete strategy
% 6.09/1.82 % (816829)------------------------------
% 6.09/1.82 % (816829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816829)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816829)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.82 % (816829)Time elapsed: 0.003 s
% 6.09/1.82 % (816829)Peak memory usage: 88 MB
% 6.09/1.82 % (816829)Instructions burned: 2 (million)
% 6.09/1.82 % (816830)Instruction limit reached!
% 6.09/1.82 % (816830)------------------------------
% 6.09/1.82 % (816830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816830)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816830)Termination reason: Instruction limit
% 6.09/1.82 % (816830)Termination phase: Saturation
% 6.09/1.82 % (816830)Time elapsed: 0.089 s
% 6.09/1.82 % (816830)Peak memory usage: 90 MB
% 6.09/1.82 % (816830)Instructions burned: 139 (million)
% 6.09/1.82 % (816839)lrs+10_1_sil=8000:sp=occurrence:random_seed=2192178153:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.09/1.82 % (816839)Instruction limit reached!
% 6.09/1.82 % (816839)------------------------------
% 6.09/1.82 % (816839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816839)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816839)Termination reason: Instruction limit
% 6.09/1.82 % (816839)Termination phase: Saturation
% 6.09/1.82 % (816839)Time elapsed: 0.087 s
% 6.09/1.82 % (816839)Peak memory usage: 91 MB
% 6.09/1.82 % (816839)Instructions burned: 286 (million)
% 6.09/1.82 % (816841)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4111134347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.09/1.82 % (816829)------------------------------
% 6.09/1.82 % (816829)------------------------------
% 6.09/1.82 % (816828)------------------------------
% 6.09/1.82 % (816828)------------------------------
% 6.09/1.82 % (816842)lrs+1011_1_sil=32000:sp=occurrence:random_seed=974674169:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.09/1.82 % (816841)Instruction limit reached!
% 6.09/1.82 % (816841)------------------------------
% 6.09/1.82 % (816841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816841)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816841)Termination reason: Instruction limit
% 6.09/1.82 % (816841)Termination phase: Saturation
% 6.09/1.82 % (816841)Time elapsed: 0.092 s
% 6.09/1.82 % (816841)Peak memory usage: 90 MB
% 6.09/1.82 % (816841)Instructions burned: 157 (million)
% 6.09/1.82 % (816842)Instruction limit reached!
% 6.09/1.82 % (816842)------------------------------
% 6.09/1.82 % (816842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816842)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816842)Termination reason: Instruction limit
% 6.09/1.82 % (816842)Termination phase: Saturation
% 6.09/1.82 % (816842)Time elapsed: 0.105 s
% 6.09/1.82 % (816842)Peak memory usage: 91 MB
% 6.09/1.82 % (816842)Instructions burned: 326 (million)
% 6.09/1.82 % (816845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1590939524:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.09/1.82 % (816844)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=782513477:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.09/1.82 % (816848)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=774851333:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.09/1.82 % (816847)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4198067134:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.09/1.82 % (816848)Instruction limit reached!
% 6.09/1.82 % (816848)------------------------------
% 6.09/1.82 % (816848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816848)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816848)Termination reason: Instruction limit
% 6.09/1.82 % (816848)Termination phase: Saturation
% 6.09/1.82 % (816848)Time elapsed: 0.039 s
% 6.09/1.82 % (816848)Peak memory usage: 89 MB
% 6.09/1.82 % (816848)Instructions burned: 115 (million)
% 6.09/1.82 % (816844)Instruction limit reached!
% 6.09/1.82 % (816844)------------------------------
% 6.09/1.82 % (816844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816844)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816844)Termination reason: Instruction limit
% 6.09/1.82 % (816844)Termination phase: Saturation
% 6.09/1.82 % (816844)Time elapsed: 0.150 s
% 6.09/1.82 % (816844)Peak memory usage: 91 MB
% 6.09/1.82 % (816844)Instructions burned: 249 (million)
% 6.09/1.82 % (816845)Instruction limit reached!
% 6.09/1.82 % (816845)------------------------------
% 6.09/1.82 % (816845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816845)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816845)Termination reason: Instruction limit
% 6.09/1.82 % (816845)Termination phase: Saturation
% 6.09/1.82 % (816845)Time elapsed: 0.175 s
% 6.09/1.82 % (816845)Peak memory usage: 90 MB
% 6.09/1.82 % (816845)Instructions burned: 295 (million)
% 6.09/1.82 % (816853)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3037900373:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.09/1.82 % (816853)Instruction limit reached!
% 6.09/1.82 % (816853)------------------------------
% 6.09/1.82 % (816853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816853)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816853)Termination reason: Instruction limit
% 6.09/1.82 % (816853)Termination phase: Saturation
% 6.09/1.82 % (816853)Time elapsed: 0.037 s
% 6.09/1.82 % (816853)Peak memory usage: 89 MB
% 6.09/1.82 % (816853)Instructions burned: 130 (million)
% 6.09/1.82 % (816854)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3421589772:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.09/1.82 % (816854)Refutation not found, incomplete strategy
% 6.09/1.82 % (816854)------------------------------
% 6.09/1.82 % (816854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816854)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816854)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.82 % (816854)Time elapsed: 0.003 s
% 6.09/1.82 % (816854)Peak memory usage: 88 MB
% 6.09/1.82 % (816854)Instructions burned: 3 (million)
% 6.09/1.82 % (816855)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501110919:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.09/1.82 % (816857)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1992024912:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.09/1.82 % (816857)Refutation not found, incomplete strategy
% 6.09/1.82 % (816857)------------------------------
% 6.09/1.82 % (816857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.82 % (816857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.82 % (816857)CaDiCaL version: 2.1.3
% 6.09/1.82 % (816857)Termination reason: Refutation not found, incomplete strategy
% 6.09/1.82 % (816857)Time elapsed: 0.001 s
% 6.09/1.82 % (816857)Peak memory usage: 88 MB
% 6.09/1.82 % (816857)Instructions burned: 3 (million)
% 6.09/1.82 % (816825)First to succeed.
% 6.09/1.82 % (816825)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-816820"
% 6.09/1.82 % (816857)------------------------------
% 6.09/1.82 % (816857)------------------------------
% 6.09/1.82 % (816826)Also succeeded, but the first one will report.
% 6.09/1.82 % (816854)------------------------------
% 6.09/1.82 % (816854)------------------------------
% 6.09/1.82 % (816861)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=152602445:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 6.09/1.82 % (816825)Refutation found. Thanks to Tanya!
% 6.09/1.82 % SZS status Theorem for theBenchmark
% 6.09/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.69/2.01 % (816825)------------------------------
% 8.69/2.01 % (816825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.01 % (816825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.01 % (816825)CaDiCaL version: 2.1.3
% 8.69/2.01 % (816825)Termination reason: Refutation
% 8.69/2.01 % (816825)Time elapsed: 0.744 s
% 8.69/2.01 % (816825)Peak memory usage: 131 MB
% 8.69/2.01 % (816825)Instructions burned: 1092 (million)
% 8.69/2.01 % (816825)------------------------------
% 8.69/2.01 % (816825)------------------------------
% 8.69/2.01 % (816820)Success in time 1.156 s
% 8.69/2.01 % Vampire exiting
%------------------------------------------------------------------------------