%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 09:39:39 AM UTC 2026
% Result : Theorem 4.59s 1.35s
% Output : Refutation 5.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 84 ( 14 unt; 4 def)
% Number of atoms : 260 ( 118 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 266 ( 90 ~; 115 |; 47 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 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 : 203 ( 0 sgn 147 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X5
& X3 = vbind(X1,X0,X6) )
=> ( X5 != X1
=> ( X4 = vlookup(X2,X3)
=> X4 = vlookup(X5,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lookup2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( vlookup(X1,X0) = vsomeType(X2)
=> vtcheck(X0,vvar(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-var') ).
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/sandbox/benchmark/theBenchmark.p','T-inv') ).
fof(f56,conjecture,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) )
=> vtcheck(X2,vvar(X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-var') ).
fof(f57,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) )
=> vtcheck(X2,vvar(X3),X4) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f59,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(f63,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(ennf_transformation,[],[f57]) ).
fof(f64,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(X2,vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(flattening,[],[f63]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f77]) ).
fof(f81,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,[],[f59]) ).
fof(f82,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,[],[f81]) ).
fof(f86,plain,
! [X0,X1,X2] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(ennf_transformation,[],[f24]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(flattening,[],[f110]) ).
fof(f126,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP5(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f127,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) )
| sP5(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f82,f126]) ).
fof(f131,plain,
( ~ vtcheck(sK10,vvar(sK11),sK12)
& ~ visFreeVar(sK8,vvar(sK11))
& vtcheck(vbind(sK8,sK9,sK10),vvar(sK11),sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12)],[f64]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP5(X0,X1,X2) ),
inference(nnf_transformation,[],[f126]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP5(X0,X1,X2) ),
inference(rectify,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ( vapp(sK39(X0,X1,X2),sK40(X0,X1,X2)) = X0
& vtcheck(X2,sK39(X0,X1,X2),varrow(sK41(X0,X1,X2),X1))
& vtcheck(X2,sK40(X0,X1,X2),sK41(X0,X1,X2)) )
| ~ sP5(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39,sK40,sK41]),skolemize(X3,sK39(X0,X1,X2)),skolemize(X4,sK40(X0,X1,X2)),skolemize(X5,sK41(X0,X1,X2))],[f149]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( vvar(sK42(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK42(X0,X1,X2),X2) )
| ( vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X0
& varrow(sK45(X0,X1,X2),sK46(X0,X1,X2)) = X1
& vtcheck(vbind(sK43(X0,X1,X2),sK45(X0,X1,X2),X2),sK44(X0,X1,X2),sK46(X0,X1,X2)) )
| sP5(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45,sK46]),skolemize(X3,sK42(X0,X1,X2)),skolemize(X4,sK43(X0,X1,X2)),skolemize(X5,sK44(X0,X1,X2)),skolemize(X6,sK45(X0,X1,X2)),skolemize(X7,sK46(X0,X1,X2))],[f127]) ).
fof(f159,plain,
vtcheck(vbind(sK8,sK9,sK10),vvar(sK11),sK12),
inference(cnf_transformation,[],[f131]) ).
fof(f160,plain,
~ visFreeVar(sK8,vvar(sK11)),
inference(cnf_transformation,[],[f131]) ).
fof(f161,plain,
~ vtcheck(sK10,vvar(sK11),sK12),
inference(cnf_transformation,[],[f131]) ).
fof(f162,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ visFreeVar(X0,X1)
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| vapp(sK39(X0,X1,X2),sK40(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X0
| sP5(X0,X1,X2)
| vsomeType(X1) = vlookup(sK42(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X0
| sP5(X0,X1,X2)
| vvar(sK42(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f221,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(cnf_transformation,[],[f111]) ).
fof(f294,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f208]) ).
fof(f295,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f294]) ).
fof(f296,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f295]) ).
fof(f297,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ visFreeVar(X3,X1)
| vvar(X2) != X1 ),
inference(equality_resolution,[],[f207]) ).
fof(f298,plain,
! [X2,X3] :
( ~ visFreeVar(X3,vvar(X2))
| X2 = X3 ),
inference(equality_resolution,[],[f297]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X6,X5] :
( vlookup(X2,X3) = vlookup(X5,X6)
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f255]) ).
fof(f334,plain,
! [X3,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,X3)
| X1 = X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f333]) ).
fof(f335,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f334]) ).
fof(f648,definition,
( spl56_1
<=> vvar(sK11) = vvar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f650,plain,
( vvar(sK11) = vvar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)))
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f652,definition,
( spl56_2
<=> sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f653,plain,
( ~ sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| spl56_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f660,plain,
( vvar(sK11) = vapp(sK39(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK40(vvar(sK11),sK12,vbind(sK8,sK9,sK10)))
| ~ spl56_2 ),
inference(resolution,[],[f654,f212]) ).
fof(f661,plain,
( $false
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f660,f162]) ).
fof(f662,plain,
~ spl56_2,
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f675,plain,
( vvar(sK11) = vabs(sK43(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK45(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK44(vvar(sK11),sK12,vbind(sK8,sK9,sK10)))
| sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| vvar(sK11) = vvar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))) ),
inference(resolution,[],[f218,f159]) ).
fof(f683,plain,
( sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| vvar(sK11) = vvar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))) ),
inference(forward_subsumption_resolution,[],[f675,f163]) ).
fof(f684,plain,
( vvar(sK11) = vvar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)))
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f683,f653]) ).
fof(f685,plain,
( spl56_1
| spl56_2 ),
inference(avatar_split_clause,[],[f684,f652,f648]) ).
fof(f690,plain,
( visFreeVar(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),vvar(sK11))
| ~ spl56_1 ),
inference(superposition,[],[f296,f650]) ).
fof(f702,definition,
( spl56_4
<=> sK8 = sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f703,plain,
( sK8 != sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| spl56_4 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( sK8 = sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f713,plain,
( vvar(sK11) = vabs(sK43(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK45(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK44(vvar(sK11),sK12,vbind(sK8,sK9,sK10)))
| sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| vsomeType(sK12) = vlookup(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),vbind(sK8,sK9,sK10)) ),
inference(resolution,[],[f215,f159]) ).
fof(f720,plain,
( sP5(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| vsomeType(sK12) = vlookup(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),vbind(sK8,sK9,sK10)) ),
inference(forward_subsumption_resolution,[],[f713,f163]) ).
fof(f721,plain,
( vsomeType(sK12) = vlookup(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),vbind(sK8,sK9,sK10))
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f720,f653]) ).
fof(f770,plain,
( vvar(sK11) = vvar(sK8)
| ~ spl56_1
| ~ spl56_4 ),
inference(superposition,[],[f650,f704]) ).
fof(f788,plain,
( ~ visFreeVar(sK8,vvar(sK8))
| ~ spl56_1
| ~ spl56_4 ),
inference(superposition,[],[f160,f770]) ).
fof(f832,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f788,f296]) ).
fof(f833,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f857,plain,
( sK11 = sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| ~ spl56_1 ),
inference(resolution,[],[f690,f298]) ).
fof(f860,plain,
( vsomeType(sK12) = vlookup(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK10)
| sK8 = sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10))
| spl56_2 ),
inference(superposition,[],[f335,f721]) ).
fof(f870,plain,
( vsomeType(sK12) = vlookup(sK42(vvar(sK11),sK12,vbind(sK8,sK9,sK10)),sK10)
| spl56_2
| spl56_4 ),
inference(forward_subsumption_resolution,[],[f860,f703]) ).
fof(f875,plain,
( vsomeType(sK12) = vlookup(sK11,sK10)
| ~ spl56_1
| spl56_2
| spl56_4 ),
inference(forward_demodulation,[],[f870,f857]) ).
fof(f899,plain,
( ! [X0] :
( vsomeType(X0) != vsomeType(sK12)
| vtcheck(sK10,vvar(sK11),X0) )
| ~ spl56_1
| spl56_2
| spl56_4 ),
inference(superposition,[],[f221,f875]) ).
fof(f1292,plain,
( vtcheck(sK10,vvar(sK11),sK12)
| ~ spl56_1
| spl56_2
| spl56_4 ),
inference(equality_resolution,[],[f899]) ).
fof(f1293,plain,
( $false
| ~ spl56_1
| spl56_2
| spl56_4 ),
inference(forward_subsumption_resolution,[],[f1292,f161]) ).
fof(f1294,plain,
( ~ spl56_1
| spl56_2
| spl56_4 ),
inference(avatar_contradiction_clause,[],[f1293]) ).
cnf(s2,plain,
~ spl56_2,
inference(sat_conversion,[],[f662]) ).
cnf(s3,plain,
( spl56_1
| spl56_2 ),
inference(sat_conversion,[],[f685]) ).
cnf(s8,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f833]) ).
cnf(s16,plain,
( ~ spl56_1
| spl56_2
| spl56_4 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s17,plain,
spl56_1,
inference(rat,[],[s3,s2]) ).
cnf(s18,plain,
spl56_4,
inference(rat,[],[s16,s2,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s8,s18,s17]) ).
fof(f1295,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n015.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:59:02 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.59/1.35 % (3074597)Detected formulas, will run a generic FOF schedule.
% 4.59/1.35 % (3074602)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=2388572602:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.59/1.35 % (3074603)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=3576696859:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.59/1.35 % (3074606)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2086042605:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.59/1.35 % (3074604)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=3275523998:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.59/1.35 % (3074605)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2776549363:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.59/1.35 % (3074608)dis-21_1_sil=8000:lcm=predicate:random_seed=787640745: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)
% 4.59/1.35 % (3074607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=725185165:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.59/1.35 % (3074605)Refutation not found, incomplete strategy
% 4.59/1.35 % (3074605)------------------------------
% 4.59/1.35 % (3074605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074605)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074605)Termination reason: Refutation not found, incomplete strategy
% 4.59/1.35 % (3074605)Time elapsed: 0.002 s
% 4.59/1.35 % (3074605)Peak memory usage: 88 MB
% 4.59/1.35 % (3074605)Instructions burned: 2 (million)
% 4.59/1.35 % (3074606)Instruction limit reached!
% 4.59/1.35 % (3074606)------------------------------
% 4.59/1.35 % (3074606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074606)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074606)Termination reason: Instruction limit
% 4.59/1.35 % (3074606)Termination phase: Saturation
% 4.59/1.35 % (3074606)Time elapsed: 0.071 s
% 4.59/1.35 % (3074606)Peak memory usage: 88 MB
% 4.59/1.35 % (3074606)Instructions burned: 119 (million)
% 4.59/1.35 % (3074608)Instruction limit reached!
% 4.59/1.35 % (3074608)------------------------------
% 4.59/1.35 % (3074608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074608)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074608)Termination reason: Instruction limit
% 4.59/1.35 % (3074608)Termination phase: Saturation
% 4.59/1.35 % (3074608)Time elapsed: 0.072 s
% 4.59/1.35 % (3074608)Peak memory usage: 89 MB
% 4.59/1.35 % (3074608)Instructions burned: 131 (million)
% 4.59/1.35 % (3074607)Instruction limit reached!
% 4.59/1.35 % (3074607)------------------------------
% 4.59/1.35 % (3074607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074607)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074607)Termination reason: Instruction limit
% 4.59/1.35 % (3074607)Termination phase: Saturation
% 4.59/1.35 % (3074607)Time elapsed: 0.091 s
% 4.59/1.35 % (3074607)Peak memory usage: 90 MB
% 4.59/1.35 % (3074607)Instructions burned: 140 (million)
% 4.59/1.35 % (3074616)lrs+10_1_sil=8000:sp=occurrence:random_seed=3167760179:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.59/1.35 % (3074617)lrs+10_1_sil=32000:urr=on:br=off:random_seed=147769289:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.59/1.35 % (3074618)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3768152680:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.59/1.35 % (3074605)------------------------------
% 4.59/1.35 % (3074605)------------------------------
% 4.59/1.35 % (3074616)First to succeed.
% 4.59/1.35 % (3074616)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3074597"
% 4.59/1.35 % (3074617)Instruction limit reached!
% 4.59/1.35 % (3074617)------------------------------
% 4.59/1.35 % (3074617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074617)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074617)Termination reason: Instruction limit
% 4.59/1.35 % (3074617)Termination phase: Saturation
% 4.59/1.35 % (3074617)Time elapsed: 0.087 s
% 4.59/1.35 % (3074617)Peak memory usage: 90 MB
% 4.59/1.35 % (3074617)Instructions burned: 158 (million)
% 4.59/1.35 % (3074602)Also succeeded, but the first one will report.
% 4.59/1.35 % (3074622)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=1488497380:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.59/1.35 % (3074618)Instruction limit reached!
% 4.59/1.35 % (3074618)------------------------------
% 4.59/1.35 % (3074618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074618)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074618)Termination reason: Instruction limit
% 4.59/1.35 % (3074618)Termination phase: Saturation
% 4.59/1.35 % (3074618)Time elapsed: 0.192 s
% 4.59/1.35 % (3074618)Peak memory usage: 91 MB
% 4.59/1.35 % (3074618)Instructions burned: 326 (million)
% 4.59/1.35 % (3074623)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1414191773:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.59/1.35 % (3074623)Refutation not found, incomplete strategy
% 4.59/1.35 % (3074623)------------------------------
% 4.59/1.35 % (3074623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.59/1.35 % (3074623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.59/1.35 % (3074623)CaDiCaL version: 2.1.3
% 4.59/1.35 % (3074623)Termination reason: Refutation not found, incomplete strategy
% 4.59/1.35 % (3074623)Time elapsed: 0.007 s
% 4.59/1.35 % (3074623)Peak memory usage: 88 MB
% 4.59/1.35 % (3074623)Instructions burned: 10 (million)
% 4.59/1.35 % (3074616)Refutation found. Thanks to Tanya!
% 4.59/1.35 % SZS status Theorem for theBenchmark
% 4.59/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.55 % (3074616)------------------------------
% 5.53/1.55 % (3074616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.55 % (3074616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.55 % (3074616)CaDiCaL version: 2.1.3
% 5.53/1.55 % (3074616)Termination reason: Refutation
% 5.53/1.55 % (3074616)Time elapsed: 0.046 s
% 5.53/1.55 % (3074616)Peak memory usage: 90 MB
% 5.53/1.55 % (3074616)Instructions burned: 70 (million)
% 5.53/1.55 % (3074616)------------------------------
% 5.53/1.55 % (3074616)------------------------------
% 5.53/1.55 % (3074597)Success in time 0.698 s
% 5.53/1.55 % Vampire exiting
%------------------------------------------------------------------------------