%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM127+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 : n010.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 12:10:26 PM UTC 2026
% Result : Theorem 3.98s 0.95s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 75 ( 12 unt; 7 def)
% Number of atoms : 240 ( 114 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 256 ( 91 ~; 92 |; 53 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 228 ( 176 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [VVar0,VVar1] :
( ( VVar0 = VVar1
=> vvar(VVar0) = vvar(VVar1) )
& ( vvar(VVar0) = vvar(VVar1)
=> VVar0 = VVar1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0),
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(f10,axiom,
! [VVar0,VExp0,Vx,Vv] :
( ( VExp0 = vvar(Vx)
& VVar0 = Vv )
=> ( ( visFreeVar(VVar0,VExp0)
=> Vx = Vv )
& ( Vx = Vv
=> visFreeVar(VVar0,VExp0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :
( ( VCtx0 = vbind(Vy,VTy,VC)
& VVar0 = Vx )
=> ( Vx != Vy
=> ( RESULT = vlookup(VVar0,VCtx0)
=> RESULT = vlookup(Vx,VC) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [VC,Vx,VT] :
( vlookup(Vx,VC) = vsomeType(VT)
=> vtcheck(VC,vvar(Vx),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(f57,conjecture,
! [Vx,VS,VC,Vy,VT] :
( ( vtcheck(VC,vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) )
=> vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ! [Vx,VS,VC,Vy,VT] :
( ( vtcheck(VC,vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) )
=> vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
! [VVar0,VVar1] :
( ( vvar(VVar0) = vvar(VVar1)
| VVar0 != VVar1 )
& ( VVar0 = VVar1
| vvar(VVar0) != vvar(VVar1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f60,plain,
( ! [VVar0,VVar1] :
( vvar(VVar0) = vvar(VVar1)
| VVar0 != VVar1 )
& ! [VVar0,VVar1] :
( VVar0 = VVar1
| vvar(VVar0) != vvar(VVar1) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( X0 = X1
| vvar(X0) != vvar(X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f86,plain,
! [VVar0,VExp0,Vx,Vv] :
( ( ( Vx = Vv
| ~ visFreeVar(VVar0,VExp0) )
& ( visFreeVar(VVar0,VExp0)
| Vx != Vv ) )
| VExp0 != vvar(Vx)
| VVar0 != Vv ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( visFreeVar(X0,X2)
| X3 != X1
| X2 != vvar(X3)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f130,plain,
! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :
( RESULT = vlookup(Vx,VC)
| RESULT != vlookup(VVar0,VCtx0)
| Vx = Vy
| VCtx0 != vbind(Vy,VTy,VC)
| VVar0 != Vx ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f131,plain,
! [Vy,VVar0,VCtx0,Vx,VC] :
( ! [RESULT] :
( RESULT = vlookup(Vx,VC)
| RESULT != vlookup(VVar0,VCtx0) )
| Vx = Vy
| ! [VTy] : VCtx0 != vbind(Vy,VTy,VC)
| VVar0 != Vx ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X6 = vlookup(X1,X5)
| X6 != vlookup(X0,X2)
| X1 = X3
| X2 != vbind(X3,X4,X5)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f231,plain,
! [VC,Vx,VT] :
( vtcheck(VC,vvar(Vx),VT)
| vlookup(Vx,VC) != vsomeType(VT) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f232,plain,
! [X0,X1,X2] :
( vtcheck(X1,vvar(X0),X2)
| vlookup(X0,X1) != vsomeType(X2) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
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(f252,plain,
? [Vx,VS,VC,Vy,VT] :
( ~ vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& vtcheck(VC,vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f253,plain,
? [Vx,VC,Vy,VT] :
( ? [VS] : ~ vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& vtcheck(VC,vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) ),
inference(miniscoping,[status(thm)],[f252]) ).
fof(f254,plain,
( ~ vtcheck(vbind(sK21_skl,sK25_skl,sK22_skl),vvar(sK23_skl),sK24_skl)
& vtcheck(sK22_skl,vvar(sK23_skl),sK24_skl)
& ~ visFreeVar(sK21_skl,vvar(sK23_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(Vx,sK21_skl),skolemize(VC,sK22_skl),skolemize(Vy,sK23_skl),skolemize(VT,sK24_skl),skolemize(VS,sK25_skl)],[f253]) ).
fof(f255,plain,
~ visFreeVar(sK21_skl,vvar(sK23_skl)),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f256,plain,
vtcheck(sK22_skl,vvar(sK23_skl),sK24_skl),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f257,plain,
~ vtcheck(vbind(sK21_skl,sK25_skl,sK22_skl),vvar(sK23_skl),sK24_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(sK44_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve),VC),sK45_skl(VC,VT,Ve),sK47_skl(VC,VT,Ve))
& VT = varrow(sK46_skl(VC,VT,Ve),sK47_skl(VC,VT,Ve))
& Ve = vabs(sK44_skl(VC,VT,Ve),sK46_skl(VC,VT,Ve),sK45_skl(VC,VT,Ve)) )
| sP7_prd(sK43_skl(VC,VT,Ve),VC,VT,Ve)
| ~ sP3_prd(VC,VT,Ve) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl]),skolemize(Vx,sK43_skl(VC,VT,Ve)),skolemize(Vx,sK44_skl(VC,VT,Ve)),skolemize(Ve2,sK45_skl(VC,VT,Ve)),skolemize(VT1,sK46_skl(VC,VT,Ve)),skolemize(VT2,sK47_skl(VC,VT,Ve))],[f298]) ).
fof(f300,plain,
! [X0,X1,X2] :
( X2 = vabs(sK44_skl(X0,X1,X2),sK46_skl(X0,X1,X2),sK45_skl(X0,X1,X2))
| sP7_prd(sK43_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(f338,plain,
! [X0,X1,X2,X3] :
( vlookup(X0,X1) = vsomeType(X2)
| ~ sP7_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f406,plain,
! [X0] : visFreeVar(X0,vvar(X0)),
inference(destructive_equality_resolution,[status(thm)],[f87]) ).
fof(f419,plain,
! [X0,X1,X2,X3] :
( vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f132]) ).
fof(f1158,definition,
( sQ23_spl
<=> sK23_skl = sK21_skl ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ23_spl
| sK23_skl = sK21_skl ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1179,plain,
( ~ sQ23_spl
| ~ visFreeVar(sK23_skl,vvar(sK23_skl)) ),
inference(backward_demodulation,[status(thm)],[f1159,f255]) ).
fof(f1192,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f406]) ).
fof(f1193,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1409,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X3
| vtcheck(vbind(X3,X4,X1),vvar(X0),X2)
| vlookup(X0,X1) != vsomeType(X2) ),
inference(paramodulation,[status(thm)],[f419,f232]) ).
fof(f2553,plain,
( vvar(sK23_skl) = vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))
| sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(resolution,[status(thm)],[f243,f256]) ).
fof(f2556,definition,
( sQ69_spl
<=> sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
( ~ sQ69_spl
| sP3_prd(sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,definition,
( sQ70_spl
<=> vvar(sK23_skl) = vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl))) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f2560,plain,
( ~ sQ70_spl
| vvar(sK23_skl) = vapp(sK20_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK18_skl(sK22_skl,sK24_skl,vvar(sK23_skl))) ),
inference(component_clause,[status(thm)],[f2559]) ).
fof(f2562,plain,
( sQ70_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2553,f2556,f2559]) ).
fof(f4496,plain,
( ~ sQ69_spl
| vvar(sK23_skl) = vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl)))
| sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(resolution,[status(thm)],[f300,f2557]) ).
fof(f4500,definition,
( sQ167_spl
<=> sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f4501,plain,
( ~ sQ167_spl
| sP7_prd(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(component_clause,[status(thm)],[f4500]) ).
fof(f4503,definition,
( sQ168_spl
<=> vvar(sK23_skl) = vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl))) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f4504,plain,
( ~ sQ168_spl
| vvar(sK23_skl) = vabs(sK44_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK46_skl(sK22_skl,sK24_skl,vvar(sK23_skl)),sK45_skl(sK22_skl,sK24_skl,vvar(sK23_skl))) ),
inference(component_clause,[status(thm)],[f4503]) ).
fof(f4506,plain,
( ~ sQ69_spl
| sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f4496,f4500,f4503,f2556]) ).
fof(f4511,plain,
( ~ sQ167_spl
| vvar(sK23_skl) = vvar(sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl))) ),
inference(resolution,[status(thm)],[f4501,f337]) ).
fof(f4512,plain,
( ~ sQ167_spl
| sK23_skl = sK43_skl(sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(resolution,[status(thm)],[f4511,f61]) ).
fof(f4717,plain,
( ~ sQ167_spl
| sP7_prd(sK23_skl,sK22_skl,sK24_skl,vvar(sK23_skl)) ),
inference(backward_demodulation,[status(thm)],[f4512,f4501]) ).
fof(f4721,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f75]) ).
fof(f4722,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f4721]) ).
fof(f4725,plain,
( ~ sQ167_spl
| vlookup(sK23_skl,sK22_skl) = vsomeType(sK24_skl) ),
inference(resolution,[status(thm)],[f4717,f338]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ sQ167_spl
| sK23_skl = X0
| vtcheck(vbind(X0,X1,sK22_skl),vvar(sK23_skl),sK24_skl) ),
inference(resolution,[status(thm)],[f4725,f1409]) ).
fof(f4776,plain,
( ~ sQ167_spl
| sK23_skl = sK21_skl ),
inference(resolution,[status(thm)],[f4728,f257]) ).
fof(f4784,plain,
( ~ sQ167_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f4776,f1158,f4500]) ).
fof(f4793,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4504,f74]) ).
fof(f4794,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f4793]) ).
fof(f4795,plain,
$false,
inference(sat_refutation,[status(thm)],[f1193,f2562,f4506,f4722,f4784,f4794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n010.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:17:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 3.98/0.95 % Refutation found
% 3.98/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.98/0.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.98/0.97 % Elapsed time: 0.600331 seconds
% 3.98/0.97 % CPU time: 4.497344 seconds
% 3.98/0.97 % Total memory used: 189.571 MB
% 3.98/0.97 % Net memory used: 182.325 MB
%------------------------------------------------------------------------------