TSTP Solution File: COM149+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:04:09 EDT 2023
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 148 ( 68 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 145 ( 49 ~; 48 |; 37 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-3 aty)
% Number of variables : 128 (; 85 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
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(f18,axiom,
! [VTyp0] : vnoType != vsomeType(VTyp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Vx,VVar0,VCtx0,RESULT] :
( ( VVar0 = Vx
& VCtx0 = vempty )
=> ( RESULT = vlookup(VVar0,VCtx0)
=> RESULT = vnoType ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [Ve,VT,VC] :
( vtcheck(VC,Ve,VT)
=> ( ? [Vx] :
( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) )
| ? [Vx,Ve2,VT1,VT2] :
( Ve = vabs(Vx,VT1,Ve2)
& VT = varrow(VT1,VT2)
& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) )
| ? [Ve1,Ve2,VS] :
( Ve = vapp(Ve1,Ve2)
& vtcheck(VC,Ve1,varrow(VS,VT))
& vtcheck(VC,Ve2,VS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
! [VT,Vx] :
( ( vtcheck(vempty,vvar(Vx),VT)
& ~ visValue(vvar(Vx)) )
=> ? [Veout] : vreduce(vvar(Vx)) = vsomeExp(Veout) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ! [VT,Vx] :
( ( vtcheck(vempty,vvar(Vx),VT)
& ~ visValue(vvar(Vx)) )
=> ? [Veout] : vreduce(vvar(Vx)) = vsomeExp(Veout) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f75,plain,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f115,plain,
! [X0] : vnoType != vsomeType(X0),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f124,plain,
! [Vx,VVar0,VCtx0,RESULT] :
( VVar0 != Vx
| VCtx0 != vempty
| RESULT != vlookup(VVar0,VCtx0)
| RESULT = vnoType ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f125,plain,
! [VVar0,VCtx0] :
( ! [Vx] : VVar0 != Vx
| VCtx0 != vempty
| ! [RESULT] :
( RESULT != vlookup(VVar0,VCtx0)
| RESULT = vnoType ) ),
inference(miniscoping,[status(esa)],[f124]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( X0 != X1
| X2 != vempty
| X3 != vlookup(X0,X2)
| X3 = vnoType ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f238,plain,
! [Ve,VT,VC] :
( ~ vtcheck(VC,Ve,VT)
| ? [Vx] :
( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) )
| ? [Vx,Ve2,VT1,VT2] :
( Ve = vabs(Vx,VT1,Ve2)
& VT = varrow(VT1,VT2)
& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) )
| ? [Ve1,Ve2,VS] :
( Ve = vapp(Ve1,Ve2)
& vtcheck(VC,Ve1,varrow(VS,VT))
& vtcheck(VC,Ve2,VS) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f239,plain,
! [Ve,VT,VC] :
( pd0_3(VC,VT,Ve)
=> ( ? [Vx] :
( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) )
| ? [Vx,Ve2,VT1,VT2] :
( Ve = vabs(Vx,VT1,Ve2)
& VT = varrow(VT1,VT2)
& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ) ),
introduced(predicate_definition,[f238]) ).
fof(f240,plain,
! [Ve,VT,VC] :
( ~ vtcheck(VC,Ve,VT)
| pd0_3(VC,VT,Ve)
| ? [Ve1,Ve2,VS] :
( Ve = vapp(Ve1,Ve2)
& vtcheck(VC,Ve1,varrow(VS,VT))
& vtcheck(VC,Ve2,VS) ) ),
inference(formula_renaming,[status(thm)],[f238,f239]) ).
fof(f241,plain,
! [Ve,VT,VC] :
( ~ vtcheck(VC,Ve,VT)
| pd0_3(VC,VT,Ve)
| ? [Ve2,VS] :
( ? [Ve1] :
( Ve = vapp(Ve1,Ve2)
& vtcheck(VC,Ve1,varrow(VS,VT)) )
& vtcheck(VC,Ve2,VS) ) ),
inference(miniscoping,[status(esa)],[f240]) ).
fof(f242,plain,
! [Ve,VT,VC] :
( ~ vtcheck(VC,Ve,VT)
| pd0_3(VC,VT,Ve)
| ( Ve = vapp(sk0_20(VC,VT,Ve),sk0_18(VC,VT,Ve))
& vtcheck(VC,sk0_20(VC,VT,Ve),varrow(sk0_19(VC,VT,Ve),VT))
& vtcheck(VC,sk0_18(VC,VT,Ve),sk0_19(VC,VT,Ve)) ) ),
inference(skolemization,[status(esa)],[f241]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ~ vtcheck(X0,X1,X2)
| pd0_3(X0,X2,X1)
| X1 = vapp(sk0_20(X0,X2,X1),sk0_18(X0,X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f252,plain,
? [VT,Vx] :
( vtcheck(vempty,vvar(Vx),VT)
& ~ visValue(vvar(Vx))
& ! [Veout] : vreduce(vvar(Vx)) != vsomeExp(Veout) ),
inference(pre_NNF_transformation,[status(esa)],[f58]) ).
fof(f253,plain,
? [Vx] :
( ? [VT] : vtcheck(vempty,vvar(Vx),VT)
& ~ visValue(vvar(Vx))
& ! [Veout] : vreduce(vvar(Vx)) != vsomeExp(Veout) ),
inference(miniscoping,[status(esa)],[f252]) ).
fof(f254,plain,
( vtcheck(vempty,vvar(sk0_21),sk0_22)
& ~ visValue(vvar(sk0_21))
& ! [Veout] : vreduce(vvar(sk0_21)) != vsomeExp(Veout) ),
inference(skolemization,[status(esa)],[f253]) ).
fof(f255,plain,
vtcheck(vempty,vvar(sk0_21),sk0_22),
inference(cnf_transformation,[status(esa)],[f254]) ).
fof(f288,plain,
! [Ve,VT,VC] :
( ~ pd0_3(VC,VT,Ve)
| ? [Vx] :
( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) )
| ? [Vx,Ve2,VT1,VT2] :
( Ve = vabs(Vx,VT1,Ve2)
& VT = varrow(VT1,VT2)
& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ),
inference(pre_NNF_transformation,[status(esa)],[f239]) ).
fof(f289,plain,
! [Ve,VT,VC,Vx] :
( pd0_7(Vx,VC,VT,Ve)
=> ( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) ) ),
introduced(predicate_definition,[f288]) ).
fof(f290,plain,
! [Ve,VT,VC] :
( ~ pd0_3(VC,VT,Ve)
| ? [Vx] : pd0_7(Vx,VC,VT,Ve)
| ? [Vx,Ve2,VT1,VT2] :
( Ve = vabs(Vx,VT1,Ve2)
& VT = varrow(VT1,VT2)
& vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ),
inference(formula_renaming,[status(thm)],[f288,f289]) ).
fof(f291,plain,
! [Ve,VT,VC] :
( ~ pd0_3(VC,VT,Ve)
| pd0_7(sk0_37(VC,VT,Ve),VC,VT,Ve)
| ( Ve = vabs(sk0_38(VC,VT,Ve),sk0_40(VC,VT,Ve),sk0_39(VC,VT,Ve))
& VT = varrow(sk0_40(VC,VT,Ve),sk0_41(VC,VT,Ve))
& vtcheck(vbind(sk0_38(VC,VT,Ve),sk0_40(VC,VT,Ve),VC),sk0_39(VC,VT,Ve),sk0_41(VC,VT,Ve)) ) ),
inference(skolemization,[status(esa)],[f290]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ~ pd0_3(X0,X1,X2)
| pd0_7(sk0_37(X0,X1,X2),X0,X1,X2)
| X2 = vabs(sk0_38(X0,X1,X2),sk0_40(X0,X1,X2),sk0_39(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f291]) ).
fof(f319,plain,
! [Ve,VT,VC,Vx] :
( ~ pd0_7(Vx,VC,VT,Ve)
| ( Ve = vvar(Vx)
& vlookup(Vx,VC) = vsomeType(VT) ) ),
inference(pre_NNF_transformation,[status(esa)],[f289]) ).
fof(f321,plain,
! [X0,X1,X2,X3] :
( ~ pd0_7(X0,X1,X2,X3)
| vlookup(X0,X1) = vsomeType(X2) ),
inference(cnf_transformation,[status(esa)],[f319]) ).
fof(f389,plain,
! [X0] : vlookup(X0,vempty) = vnoType,
inference(destructive_equality_resolution,[status(esa)],[f126]) ).
fof(f433,plain,
( spl0_0
<=> pd0_3(vempty,sk0_22,vvar(sk0_21)) ),
introduced(split_symbol_definition) ).
fof(f434,plain,
( pd0_3(vempty,sk0_22,vvar(sk0_21))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( spl0_1
<=> vvar(sk0_21) = vapp(sk0_20(vempty,sk0_22,vvar(sk0_21)),sk0_18(vempty,sk0_22,vvar(sk0_21))) ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( vvar(sk0_21) = vapp(sk0_20(vempty,sk0_22,vvar(sk0_21)),sk0_18(vempty,sk0_22,vvar(sk0_21)))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( pd0_3(vempty,sk0_22,vvar(sk0_21))
| vvar(sk0_21) = vapp(sk0_20(vempty,sk0_22,vvar(sk0_21)),sk0_18(vempty,sk0_22,vvar(sk0_21))) ),
inference(resolution,[status(thm)],[f243,f255]) ).
fof(f440,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f439,f433,f436]) ).
fof(f441,plain,
( spl0_2
<=> pd0_7(sk0_37(vempty,sk0_22,vvar(sk0_21)),vempty,sk0_22,vvar(sk0_21)) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( pd0_7(sk0_37(vempty,sk0_22,vvar(sk0_21)),vempty,sk0_22,vvar(sk0_21))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_3
<=> vvar(sk0_21) = vabs(sk0_38(vempty,sk0_22,vvar(sk0_21)),sk0_40(vempty,sk0_22,vvar(sk0_21)),sk0_39(vempty,sk0_22,vvar(sk0_21))) ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( vvar(sk0_21) = vabs(sk0_38(vempty,sk0_22,vvar(sk0_21)),sk0_40(vempty,sk0_22,vvar(sk0_21)),sk0_39(vempty,sk0_22,vvar(sk0_21)))
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( pd0_7(sk0_37(vempty,sk0_22,vvar(sk0_21)),vempty,sk0_22,vvar(sk0_21))
| vvar(sk0_21) = vabs(sk0_38(vempty,sk0_22,vvar(sk0_21)),sk0_40(vempty,sk0_22,vvar(sk0_21)),sk0_39(vempty,sk0_22,vvar(sk0_21)))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f292,f434]) ).
fof(f448,plain,
( spl0_2
| spl0_3
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f447,f441,f444,f433]) ).
fof(f449,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f75]) ).
fof(f450,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f453,plain,
( vlookup(sk0_37(vempty,sk0_22,vvar(sk0_21)),vempty) = vsomeType(sk0_22)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f442,f321]) ).
fof(f454,plain,
( vnoType = vsomeType(sk0_22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f389,f453]) ).
fof(f455,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f115]) ).
fof(f456,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f74]) ).
fof(f458,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f459,plain,
$false,
inference(sat_refutation,[status(thm)],[f440,f448,f450,f456,f458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM149+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:51:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40 % Elapsed time: 0.048655 seconds
% 0.20/0.40 % CPU time: 0.152684 seconds
% 0.20/0.40 % Memory used: 23.167 MB
%------------------------------------------------------------------------------