%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 12:10:28 PM UTC 2026
% Result : Theorem 13.35s 2.18s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 78 ( 13 unt; 8 def)
% Number of atoms : 245 ( 114 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 260 ( 93 ~; 93 |; 53 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 221 ( 169 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [VVar0,VVar1] :
( ( VVar0 = VVar1
=> vvar(VVar0) = vvar(VVar1) )
& ( vvar(VVar0) = vvar(VVar1)
=> VVar0 = VVar1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [VC,Vx,VT] :
( vlookup(Vx,VC) = vsomeType(VT)
=> vtcheck(VC,vvar(Vx),VT) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
! [Vx,VS,VC,Vy,VT] :
( ( vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) )
=> vtcheck(VC,vvar(Vy),VT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ! [Vx,VS,VC,Vy,VT] :
( ( vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) )
=> vtcheck(VC,vvar(Vy),VT) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
! [VVar0,VVar1] :
( ( vvar(VVar0) = vvar(VVar1)
| VVar0 != VVar1 )
& ( VVar0 = VVar1
| vvar(VVar0) != vvar(VVar1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f59,plain,
( ! [VVar0,VVar1] :
( vvar(VVar0) = vvar(VVar1)
| VVar0 != VVar1 )
& ! [VVar0,VVar1] :
( VVar0 = VVar1
| vvar(VVar0) != vvar(VVar1) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| vvar(X0) != vvar(X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f73,plain,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f85,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(f86,plain,
! [X0,X1,X2,X3] :
( visFreeVar(X0,X2)
| X3 != X1
| X2 != vvar(X3)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f129,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(f130,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)],[f129]) ).
fof(f131,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)],[f130]) ).
fof(f230,plain,
! [VC,Vx,VT] :
( vtcheck(VC,vvar(Vx),VT)
| vlookup(Vx,VC) != vsomeType(VT) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f231,plain,
! [X0,X1,X2] :
( vtcheck(X1,vvar(X0),X2)
| vlookup(X0,X1) != vsomeType(X2) ),
inference(cnf_transformation,[status(thm)],[f230]) ).
fof(f237,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(f238,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(f239,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)],[f237,f238]) ).
fof(f240,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)],[f239]) ).
fof(f241,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))],[f240]) ).
fof(f242,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)],[f241]) ).
fof(f248,plain,
? [Vx,VS,VC,Vy,VT] :
( ~ vtcheck(VC,vvar(Vy),VT)
& vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f249,plain,
? [VC,Vy,VT] :
( ~ vtcheck(VC,vvar(Vy),VT)
& ? [Vx] :
( ? [VS] : vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
& ~ visFreeVar(Vx,vvar(Vy)) ) ),
inference(miniscoping,[status(thm)],[f248]) ).
fof(f250,plain,
( ~ vtcheck(sK21_skl,vvar(sK22_skl),sK23_skl)
& vtcheck(vbind(sK24_skl,sK25_skl,sK21_skl),vvar(sK22_skl),sK23_skl)
& ~ visFreeVar(sK24_skl,vvar(sK22_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(VC,sK21_skl),skolemize(Vy,sK22_skl),skolemize(VT,sK23_skl),skolemize(Vx,sK24_skl),skolemize(VS,sK25_skl)],[f249]) ).
fof(f251,plain,
~ visFreeVar(sK24_skl,vvar(sK22_skl)),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
vtcheck(vbind(sK24_skl,sK25_skl,sK21_skl),vvar(sK22_skl),sK23_skl),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f253,plain,
~ vtcheck(sK21_skl,vvar(sK22_skl),sK23_skl),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f291,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(f292,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)],[f238,f291]) ).
fof(f293,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)],[f292]) ).
fof(f294,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)],[f293]) ).
fof(f295,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))],[f294]) ).
fof(f296,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)],[f295]) ).
fof(f331,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)],[f291]) ).
fof(f332,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)],[f331]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( X3 = vvar(X0)
| ~ sP7_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( vlookup(X0,X1) = vsomeType(X2)
| ~ sP7_prd(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f402,plain,
! [X0] : visFreeVar(X0,vvar(X0)),
inference(destructive_equality_resolution,[status(thm)],[f86]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f131]) ).
fof(f473,plain,
( vvar(sK22_skl) = vapp(sK20_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK18_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)))
| sP3_prd(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(resolution,[status(thm)],[f242,f252]) ).
fof(f474,definition,
( sQ0_spl
<=> sP3_prd(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ0_spl
| sP3_prd(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ1_spl
<=> vvar(sK22_skl) = vapp(sK20_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK18_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ1_spl
| vvar(sK22_skl) = vapp(sK20_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK18_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f473,f474,f477]) ).
fof(f484,plain,
( ~ sQ0_spl
| vvar(sK22_skl) = vabs(sK44_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK46_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK45_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)))
| sP7_prd(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(resolution,[status(thm)],[f475,f296]) ).
fof(f485,definition,
( sQ2_spl
<=> sP7_prd(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ2_spl
| sP7_prd(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ3_spl
<=> vvar(sK22_skl) = vabs(sK44_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK46_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK45_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ3_spl
| vvar(sK22_skl) = vabs(sK44_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK46_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)),sK45_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ sQ0_spl
| sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f484,f485,f488,f474]) ).
fof(f492,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f74]) ).
fof(f493,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f496,plain,
( ~ sQ2_spl
| vvar(sK22_skl) = vvar(sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl))) ),
inference(resolution,[status(thm)],[f486,f333]) ).
fof(f497,plain,
( ~ sQ2_spl
| sK22_skl = sK43_skl(vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(resolution,[status(thm)],[f496,f60]) ).
fof(f507,plain,
( ~ sQ2_spl
| sP7_prd(sK22_skl,vbind(sK24_skl,sK25_skl,sK21_skl),sK23_skl,vvar(sK22_skl)) ),
inference(backward_demodulation,[status(thm)],[f497,f486]) ).
fof(f849,definition,
( sQ5_spl
<=> sK22_skl = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ5_spl
| sK22_skl = sK24_skl ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f1013,plain,
( ~ sQ5_spl
| ~ visFreeVar(sK22_skl,vvar(sK22_skl)) ),
inference(backward_demodulation,[status(thm)],[f850,f251]) ).
fof(f1082,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f402]) ).
fof(f1083,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1199,plain,
( ~ sQ2_spl
| vlookup(sK22_skl,vbind(sK24_skl,sK25_skl,sK21_skl)) = vsomeType(sK23_skl) ),
inference(resolution,[status(thm)],[f507,f334]) ).
fof(f1203,plain,
( ~ sQ2_spl
| sK22_skl = sK24_skl
| vlookup(sK22_skl,sK21_skl) = vsomeType(sK23_skl) ),
inference(paramodulation,[status(thm)],[f415,f1199]) ).
fof(f1210,definition,
( sQ15_spl
<=> vlookup(sK22_skl,sK21_skl) = vsomeType(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ15_spl
| vlookup(sK22_skl,sK21_skl) = vsomeType(sK23_skl) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,plain,
( ~ sQ2_spl
| sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1203,f1210,f849,f485]) ).
fof(f1238,plain,
( ~ sQ15_spl
| vtcheck(sK21_skl,vvar(sK22_skl),sK23_skl) ),
inference(resolution,[status(thm)],[f1211,f231]) ).
fof(f1244,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f253]) ).
fof(f1245,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1246,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f73]) ).
fof(f1247,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1248,plain,
$false,
inference(sat_refutation,[status(thm)],[f480,f491,f493,f1083,f1213,f1245,f1247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM138+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n015.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 14:21:06 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 13.35/2.18 % Refutation found
% 13.35/2.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.35/2.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.37/2.24 % Elapsed time: 1.856172 seconds
% 5.37/2.24 % CPU time: 14.289195 seconds
% 5.37/2.24 % Total memory used: 288.650 MB
% 5.37/2.24 % Net memory used: 270.731 MB
%------------------------------------------------------------------------------