%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 : Thu Sep 24 12:10:28 PM UTC 2026
% Result : Theorem 195.37s 25.10s
% Output : CNFRefutation 183.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 14 unt; 2 def)
% Number of atoms : 225 ( 95 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 223 ( 68 ~; 88 |; 56 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 243 ( 193 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [VExp0,VExp1,VExp2,VExp3] :
( ( ( VExp1 = VExp3
& VExp0 = VExp2 )
=> vapp(VExp0,VExp1) = vapp(VExp2,VExp3) )
& ( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)
=> ( VExp1 = VExp3
& VExp0 = VExp2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [VVar0,VTyp0,VExp0,VExp1,VExp2] : vabs(VVar0,VTyp0,VExp0) != vapp(VExp1,VExp2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [VS,VC,Ve1,Ve2,VT] :
( ( vtcheck(VC,Ve2,VS)
& vtcheck(VC,Ve1,varrow(VS,VT)) )
=> vtcheck(VC,vapp(Ve1,Ve2),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [Ve,VT,VC] :
( vtcheck(VC,Ve,VT)
=> ( ? [Ve1,Ve2,VS] :
( vtcheck(VC,Ve2,VS)
& vtcheck(VC,Ve1,varrow(VS,VT))
& Ve = vapp(Ve1,Ve2) )
| ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] :
( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [Vx,VS,VC,VT] :
( ( vtcheck(VC,ve1app,VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),ve1app,VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [Vx,VS,VC,VT] :
( ( vtcheck(VC,ve2app,VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),ve2app,VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
! [Vx,VS,VC,VT] :
( ( vtcheck(VC,vapp(ve1app,ve2app),VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ! [Vx,VS,VC,VT] :
( ( vtcheck(VC,vapp(ve1app,ve2app),VT)
& vlookup(Vx,VC) = vnoType )
=> vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f69,plain,
! [VExp0,VExp1,VExp2,VExp3] :
( ( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)
| VExp1 != VExp3
| VExp0 != VExp2 )
& ( ( VExp1 = VExp3
& VExp0 = VExp2 )
| vapp(VExp0,VExp1) != vapp(VExp2,VExp3) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( ! [VExp0,VExp1,VExp2,VExp3] :
( vapp(VExp0,VExp1) = vapp(VExp2,VExp3)
| VExp1 != VExp3
| VExp0 != VExp2 )
& ! [VExp0,VExp1,VExp2,VExp3] :
( ( VExp1 = VExp3
& VExp0 = VExp2 )
| vapp(VExp0,VExp1) != vapp(VExp2,VExp3) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| vapp(X0,X1) != vapp(X2,X3) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f75,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f235,plain,
! [VS,VC,Ve1,Ve2,VT] :
( vtcheck(VC,vapp(Ve1,Ve2),VT)
| ~ vtcheck(VC,Ve2,VS)
| ~ vtcheck(VC,Ve1,varrow(VS,VT)) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f236,plain,
! [VC,Ve1,Ve2,VT] :
( vtcheck(VC,vapp(Ve1,Ve2),VT)
| ! [VS] :
( ~ vtcheck(VC,Ve2,VS)
| ~ vtcheck(VC,Ve1,varrow(VS,VT)) ) ),
inference(miniscoping,[status(thm)],[f235]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X0,vapp(X1,X4),X3)
| ~ vtcheck(X0,X4,X2)
| ~ vtcheck(X0,X1,varrow(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f236]) ).
fof(f238,plain,
! [Ve,VT,VC] :
( ? [Ve1,Ve2,VS] :
( vtcheck(VC,Ve2,VS)
& vtcheck(VC,Ve1,varrow(VS,VT))
& Ve = vapp(Ve1,Ve2) )
| ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] :
( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) )
| ~ vtcheck(VC,Ve,VT) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f239,definition,
! [Ve,VT,VC] :
( sP3_prd(VC,VT,Ve)
<=> ( ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] :
( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f240,plain,
! [Ve,VT,VC] :
( ? [Ve1,Ve2,VS] :
( vtcheck(VC,Ve2,VS)
& vtcheck(VC,Ve1,varrow(VS,VT))
& Ve = vapp(Ve1,Ve2) )
| sP3_prd(VC,VT,Ve)
| ~ vtcheck(VC,Ve,VT) ),
inference(formula_renaming,[status(thm)],[f238,f239]) ).
fof(f241,plain,
! [Ve,VT,VC] :
( ? [Ve2,VS] :
( vtcheck(VC,Ve2,VS)
& ? [Ve1] :
( vtcheck(VC,Ve1,varrow(VS,VT))
& Ve = vapp(Ve1,Ve2) ) )
| sP3_prd(VC,VT,Ve)
| ~ vtcheck(VC,Ve,VT) ),
inference(miniscoping,[status(thm)],[f240]) ).
fof(f242,plain,
! [Ve,VT,VC] :
( ( vtcheck(VC,sK18_skl(VC,VT,Ve),sK19_skl(VC,VT,Ve))
& vtcheck(VC,sK20_skl(VC,VT,Ve),varrow(sK19_skl(VC,VT,Ve),VT))
& Ve = vapp(sK20_skl(VC,VT,Ve),sK18_skl(VC,VT,Ve)) )
| sP3_prd(VC,VT,Ve)
| ~ vtcheck(VC,Ve,VT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl]),skolemize(Ve2,sK18_skl(VC,VT,Ve)),skolemize(VS,sK19_skl(VC,VT,Ve)),skolemize(Ve1,sK20_skl(VC,VT,Ve))],[f241]) ).
fof(f243,plain,
! [X0,X1,X2] :
( X1 = vapp(sK20_skl(X0,X2,X1),sK18_skl(X0,X2,X1))
| sP3_prd(X0,X2,X1)
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
! [X0,X1,X2] :
( vtcheck(X0,sK20_skl(X0,X2,X1),varrow(sK19_skl(X0,X2,X1),X2))
| sP3_prd(X0,X2,X1)
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
! [X0,X1,X2] :
( vtcheck(X0,sK18_skl(X0,X2,X1),sK19_skl(X0,X2,X1))
| sP3_prd(X0,X2,X1)
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f246,plain,
! [Vx,VS,VC,VT] :
( vtcheck(vbind(Vx,VS,VC),ve1app,VT)
| ~ vtcheck(VC,ve1app,VT)
| vlookup(Vx,VC) != vnoType ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f247,plain,
! [Vx,VC,VT] :
( ! [VS] : vtcheck(vbind(Vx,VS,VC),ve1app,VT)
| ~ vtcheck(VC,ve1app,VT)
| vlookup(Vx,VC) != vnoType ),
inference(miniscoping,[status(thm)],[f246]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X3,X1),ve1app,X2)
| ~ vtcheck(X1,ve1app,X2)
| vlookup(X0,X1) != vnoType ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
! [Vx,VS,VC,VT] :
( vtcheck(vbind(Vx,VS,VC),ve2app,VT)
| ~ vtcheck(VC,ve2app,VT)
| vlookup(Vx,VC) != vnoType ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f250,plain,
! [Vx,VC,VT] :
( ! [VS] : vtcheck(vbind(Vx,VS,VC),ve2app,VT)
| ~ vtcheck(VC,ve2app,VT)
| vlookup(Vx,VC) != vnoType ),
inference(miniscoping,[status(thm)],[f249]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X3,X1),ve2app,X2)
| ~ vtcheck(X1,ve2app,X2)
| vlookup(X0,X1) != vnoType ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
? [Vx,VS,VC,VT] :
( ~ vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT)
& vtcheck(VC,vapp(ve1app,ve2app),VT)
& vlookup(Vx,VC) = vnoType ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f253,plain,
? [Vx,VC,VT] :
( ? [VS] : ~ vtcheck(vbind(Vx,VS,VC),vapp(ve1app,ve2app),VT)
& vtcheck(VC,vapp(ve1app,ve2app),VT)
& vlookup(Vx,VC) = vnoType ),
inference(miniscoping,[status(thm)],[f252]) ).
fof(f254,plain,
( ~ vtcheck(vbind(sK21_skl,sK24_skl,sK22_skl),vapp(ve1app,ve2app),sK23_skl)
& vtcheck(sK22_skl,vapp(ve1app,ve2app),sK23_skl)
& vlookup(sK21_skl,sK22_skl) = vnoType ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl]),skolemize(Vx,sK21_skl),skolemize(VC,sK22_skl),skolemize(VT,sK23_skl),skolemize(VS,sK24_skl)],[f253]) ).
fof(f255,plain,
vlookup(sK21_skl,sK22_skl) = vnoType,
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
vtcheck(sK22_skl,vapp(ve1app,ve2app),sK23_skl),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f257,plain,
~ vtcheck(vbind(sK21_skl,sK24_skl,sK22_skl),vapp(ve1app,ve2app),sK23_skl),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f295,definition,
! [Ve,VT,VC,Vx] :
( sP7_prd(Vx,VC,VT,Ve)
<=> ( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f296,plain,
! [Ve,VT,VC] :
( sP3_prd(VC,VT,Ve)
<=> ( ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] : sP7_prd(Vx,VC,VT,Ve) ) ),
inference(formula_renaming,[status(thm)],[f239,f295]) ).
fof(f297,plain,
! [Ve,VT,VC] :
( ( ( ! [Vx,Ve2,VT1,VT2] :
( ~ vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
| VT != varrow(VT1,VT2)
| Ve != vabs(Vx,VT1,Ve2) )
& ! [Vx] : ~ sP7_prd(Vx,VC,VT,Ve) )
| sP3_prd(VC,VT,Ve) )
& ( ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] : sP7_prd(Vx,VC,VT,Ve)
| ~ sP3_prd(VC,VT,Ve) ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f298,plain,
( ! [Ve,VT,VC] :
( ( ! [Vx,Ve2,VT1,VT2] :
( ~ vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
| VT != varrow(VT1,VT2)
| Ve != vabs(Vx,VT1,Ve2) )
& ! [Vx] : ~ sP7_prd(Vx,VC,VT,Ve) )
| sP3_prd(VC,VT,Ve) )
& ! [Ve,VT,VC] :
( ? [Vx,Ve2,VT1,VT2] :
( vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
& VT = varrow(VT1,VT2)
& Ve = vabs(Vx,VT1,Ve2) )
| ? [Vx] : sP7_prd(Vx,VC,VT,Ve)
| ~ sP3_prd(VC,VT,Ve) ) ),
inference(miniscoping,[status(thm)],[f297]) ).
fof(f299,plain,
( ! [Ve,VT,VC] :
( ( ! [Vx,Ve2,VT1,VT2] :
( ~ vtcheck(vbind(Vx,VT1,VC),Ve2,VT2)
| VT != varrow(VT1,VT2)
| Ve != vabs(Vx,VT1,Ve2) )
& ! [Vx] : ~ sP7_prd(Vx,VC,VT,Ve) )
| sP3_prd(VC,VT,Ve) )
& ! [Ve,VT,VC] :
( ( vtcheck(vbind(sK43_skl(VC,VT,Ve),sK45_skl(VC,VT,Ve),VC),sK44_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve))
& VT = varrow(sK45_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve))
& Ve = vabs(sK43_skl(VC,VT,Ve),sK45_skl(VC,VT,Ve),sK44_skl(VC,VT,Ve)) )
| sP7_prd(sK42_skl(VC,VT,Ve),VC,VT,Ve)
| ~ sP3_prd(VC,VT,Ve) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl]),skolemize(Vx,sK42_skl(VC,VT,Ve)),skolemize(Vx,sK43_skl(VC,VT,Ve)),skolemize(Ve2,sK44_skl(VC,VT,Ve)),skolemize(VT1,sK45_skl(VC,VT,Ve)),skolemize(VT2,sK46_skl(VC,VT,Ve))],[f298]) ).
fof(f300,plain,
! [X0,X1,X2] :
( X2 = vabs(sK43_skl(X0,X1,X2),sK45_skl(X0,X1,X2),sK44_skl(X0,X1,X2))
| sP7_prd(sK42_skl(X0,X1,X2),X0,X1,X2)
| ~ sP3_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f335,plain,
! [Ve,VT,VC,Vx] :
( ( vlookup(Vx,VC) != vsomeType(VT)
| Ve != vvar(Vx)
| sP7_prd(Vx,VC,VT,Ve) )
& ( ( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) )
| ~ sP7_prd(Vx,VC,VT,Ve) ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f336,plain,
( ! [Ve,VT,VC,Vx] :
( vlookup(Vx,VC) != vsomeType(VT)
| Ve != vvar(Vx)
| sP7_prd(Vx,VC,VT,Ve) )
& ! [Ve,VT,VC,Vx] :
( ( vlookup(Vx,VC) = vsomeType(VT)
& Ve = vvar(Vx) )
| ~ sP7_prd(Vx,VC,VT,Ve) ) ),
inference(miniscoping,[status(thm)],[f335]) ).
fof(f337,plain,
! [X0,X1,X2,X3] :
( X3 = vvar(X0)
| ~ sP7_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f473,plain,
! [X0,X1] :
( vtcheck(vbind(sK21_skl,X1,sK22_skl),ve1app,X0)
| ~ vtcheck(sK22_skl,ve1app,X0) ),
inference(resolution,[status(thm)],[f248,f255]) ).
fof(f484,plain,
! [X0,X1] :
( vtcheck(vbind(sK21_skl,X1,sK22_skl),ve2app,X0)
| ~ vtcheck(sK22_skl,ve2app,X0) ),
inference(resolution,[status(thm)],[f251,f255]) ).
fof(f1035,plain,
( vapp(ve1app,ve2app) = vapp(sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f243,f256]) ).
fof(f1044,plain,
( vtcheck(sK22_skl,sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),varrow(sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK23_skl))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f244,f256]) ).
fof(f1046,plain,
( vapp(ve1app,ve2app) = vabs(sK43_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK45_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK44_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP7_prd(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK22_skl,sK23_skl,vapp(ve1app,ve2app))
| vapp(ve1app,ve2app) = vapp(sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app))) ),
inference(resolution,[status(thm)],[f1035,f300]) ).
fof(f1047,plain,
( sP7_prd(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK22_skl,sK23_skl,vapp(ve1app,ve2app))
| vapp(ve1app,ve2app) = vapp(sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app))) ),
inference(forward_subsumption_resolution,[status(thm)],[f1046,f76]) ).
fof(f1053,plain,
( vapp(ve1app,ve2app) = vvar(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| vapp(ve1app,ve2app) = vapp(sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app))) ),
inference(resolution,[status(thm)],[f1047,f337]) ).
fof(f1057,plain,
vapp(ve1app,ve2app) = vapp(sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app))),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f75]) ).
fof(f1110,plain,
( vtcheck(sK22_skl,sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f245,f256]) ).
fof(f1184,plain,
ve2app = sK18_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),
inference(resolution,[status(thm)],[f1057,f72]) ).
fof(f1185,plain,
ve1app = sK20_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),
inference(resolution,[status(thm)],[f1057,f71]) ).
fof(f1242,plain,
( vtcheck(sK22_skl,ve2app,sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(backward_demodulation,[status(thm)],[f1184,f1110]) ).
fof(f1245,plain,
( vtcheck(sK22_skl,ve1app,varrow(sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK23_skl))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(backward_demodulation,[status(thm)],[f1185,f1044]) ).
fof(f1319,plain,
! [X0] :
( vtcheck(vbind(sK21_skl,X0,sK22_skl),ve2app,sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f1242,f484]) ).
fof(f1345,plain,
! [X0] :
( vtcheck(vbind(sK21_skl,X0,sK22_skl),ve1app,varrow(sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK23_skl))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f1245,f473]) ).
fof(f2586,plain,
! [X0,X1] :
( vtcheck(vbind(sK21_skl,X0,sK22_skl),vapp(ve1app,X1),sK23_skl)
| ~ vtcheck(vbind(sK21_skl,X0,sK22_skl),X1,sK19_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f1345,f237]) ).
fof(f2929,plain,
! [X0] :
( sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app))
| vtcheck(vbind(sK21_skl,X0,sK22_skl),vapp(ve1app,ve2app),sK23_skl)
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f2586,f1319]) ).
fof(f2931,plain,
! [X0] :
( vtcheck(vbind(sK21_skl,X0,sK22_skl),vapp(ve1app,ve2app),sK23_skl)
| sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(duplicate_literals_removal,[status(thm)],[f2929]) ).
fof(f2932,plain,
sP3_prd(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),
inference(resolution,[status(thm)],[f2931,f257]) ).
fof(f2945,plain,
( vapp(ve1app,ve2app) = vabs(sK43_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK45_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK44_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)))
| sP7_prd(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK22_skl,sK23_skl,vapp(ve1app,ve2app)) ),
inference(resolution,[status(thm)],[f2932,f300]) ).
fof(f2946,plain,
sP7_prd(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app)),sK22_skl,sK23_skl,vapp(ve1app,ve2app)),
inference(forward_subsumption_resolution,[status(thm)],[f2945,f76]) ).
fof(f3372,plain,
vapp(ve1app,ve2app) = vvar(sK42_skl(sK22_skl,sK23_skl,vapp(ve1app,ve2app))),
inference(resolution,[status(thm)],[f2946,f337]) ).
fof(f3373,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3372,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Mon Sep 21 14:23:44 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 195.37/25.10 % Refutation found
% 195.37/25.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 195.37/25.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.70/25.31 % Elapsed time: 24.929121 seconds
% 18.70/25.31 % CPU time: 197.149128 seconds
% 18.70/25.31 % Total memory used: 1.107 GB
% 18.70/25.31 % Net memory used: 1.045 GB
%------------------------------------------------------------------------------