TSTP Solution File: COM141+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : COM141+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 : Tue Apr 30 20:14:12 EDT 2024

% Result   : Theorem 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : COM141+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 01:01:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.20/0.38  fof(f56,axiom,(
% 0.20/0.38    (! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx != Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.20/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.38  fof(f57,axiom,(
% 0.20/0.38    (! [Vx,VS,VC,Vy,VS1,VT] :( ( Vx = Vy& vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.20/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.38  fof(f58,conjecture,(
% 0.20/0.38    (! [Vx,VS,VC,Vy,VS1,VT] :( ( vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) )),
% 0.20/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.38  fof(f59,negated_conjecture,(
% 0.20/0.38    ~((! [Vx,VS,VC,Vy,VS1,VT] :( ( vlookup(Vx,VC) = vnoType& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ) ))),
% 0.20/0.38    inference(negated_conjecture,[status(cth)],[f58])).
% 0.20/0.38  fof(f250,plain,(
% 0.20/0.38    ![Vx,VS,VC,Vy,VS1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT))),
% 0.20/0.38    inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.20/0.38  fof(f251,plain,(
% 0.20/0.38    ![Vx,VC,Vy,VS1,VT]: (((Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|(![VS]: vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.20/0.38    inference(miniscoping,[status(esa)],[f250])).
% 0.20/0.38  fof(f252,plain,(
% 0.20/0.38    ![X0,X1,X2,X3,X4,X5]: (X0=X1|~vlookup(X0,X2)=vnoType|~vtcheck(X2,vabs(X1,X3,veabs),X4)|vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4))),
% 0.20/0.38    inference(cnf_transformation,[status(esa)],[f251])).
% 0.20/0.38  fof(f253,plain,(
% 0.20/0.38    ![Vx,VS,VC,Vy,VS1,VT]: (((~Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT))),
% 0.20/0.38    inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.20/0.38  fof(f254,plain,(
% 0.20/0.38    ![Vx,VC,Vy,VS1,VT]: (((~Vx=Vy|~vlookup(Vx,VC)=vnoType)|~vtcheck(VC,vabs(Vy,VS1,veabs),VT))|(![VS]: vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.20/0.38    inference(miniscoping,[status(esa)],[f253])).
% 0.20/0.38  fof(f255,plain,(
% 0.20/0.38    ![X0,X1,X2,X3,X4,X5]: (~X0=X1|~vlookup(X0,X2)=vnoType|~vtcheck(X2,vabs(X1,X3,veabs),X4)|vtcheck(vbind(X0,X5,X2),vabs(X1,X3,veabs),X4))),
% 0.20/0.38    inference(cnf_transformation,[status(esa)],[f254])).
% 0.20/0.38  fof(f256,plain,(
% 0.20/0.38    (?[Vx,VS,VC,Vy,VS1,VT]: ((vlookup(Vx,VC)=vnoType&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.20/0.38    inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.20/0.38  fof(f257,plain,(
% 0.20/0.38    ?[Vx,VC,Vy,VS1,VT]: ((vlookup(Vx,VC)=vnoType&vtcheck(VC,vabs(Vy,VS1,veabs),VT))&(?[VS]: ~vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT)))),
% 0.20/0.38    inference(miniscoping,[status(esa)],[f256])).
% 0.20/0.38  fof(f258,plain,(
% 0.20/0.38    ((vlookup(sk0_21,sk0_22)=vnoType&vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25))&~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25))),
% 0.20/0.38    inference(skolemization,[status(esa)],[f257])).
% 0.20/0.38  fof(f259,plain,(
% 0.20/0.38    vlookup(sk0_21,sk0_22)=vnoType),
% 0.20/0.38    inference(cnf_transformation,[status(esa)],[f258])).
% 0.20/0.38  fof(f260,plain,(
% 0.20/0.38    vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)),
% 0.20/0.38    inference(cnf_transformation,[status(esa)],[f258])).
% 0.20/0.38  fof(f261,plain,(
% 0.20/0.38    ~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25)),
% 0.20/0.38    inference(cnf_transformation,[status(esa)],[f258])).
% 0.20/0.38  fof(f429,plain,(
% 0.20/0.38    ![X0,X1,X2,X3,X4]: (~vlookup(X0,X1)=vnoType|~vtcheck(X1,vabs(X0,X2,veabs),X3)|vtcheck(vbind(X0,X4,X1),vabs(X0,X2,veabs),X3))),
% 0.20/0.38    inference(destructive_equality_resolution,[status(esa)],[f255])).
% 0.20/0.38  fof(f431,plain,(
% 0.20/0.38    spl0_0 <=> vnoType=vnoType),
% 0.20/0.38    introduced(split_symbol_definition)).
% 0.20/0.38  fof(f433,plain,(
% 0.20/0.38    ~vnoType=vnoType|spl0_0),
% 0.20/0.38    inference(component_clause,[status(thm)],[f431])).
% 0.20/0.38  fof(f440,plain,(
% 0.20/0.38    $false|spl0_0),
% 0.20/0.38    inference(trivial_equality_resolution,[status(esa)],[f433])).
% 0.20/0.38  fof(f441,plain,(
% 0.20/0.38    spl0_0),
% 0.20/0.38    inference(contradiction_clause,[status(thm)],[f440])).
% 0.20/0.38  fof(f443,plain,(
% 0.20/0.38    spl0_2 <=> ~vtcheck(sk0_22,vabs(sk0_21,X0,veabs),X1)|vtcheck(vbind(sk0_21,X2,sk0_22),vabs(sk0_21,X0,veabs),X1)),
% 0.20/0.38    introduced(split_symbol_definition)).
% 0.20/0.38  fof(f444,plain,(
% 0.20/0.38    ![X0,X1,X2]: (~vtcheck(sk0_22,vabs(sk0_21,X0,veabs),X1)|vtcheck(vbind(sk0_21,X2,sk0_22),vabs(sk0_21,X0,veabs),X1)|~spl0_2)),
% 0.20/0.38    inference(component_clause,[status(thm)],[f443])).
% 0.20/0.38  fof(f446,plain,(
% 0.20/0.38    ![X0,X1,X2]: (~vnoType=vnoType|~vtcheck(sk0_22,vabs(sk0_21,X0,veabs),X1)|vtcheck(vbind(sk0_21,X2,sk0_22),vabs(sk0_21,X0,veabs),X1))),
% 0.20/0.38    inference(paramodulation,[status(thm)],[f259,f429])).
% 0.20/0.38  fof(f447,plain,(
% 0.20/0.38    ~spl0_0|spl0_2),
% 0.20/0.38    inference(split_clause,[status(thm)],[f446,f431,f443])).
% 0.20/0.38  fof(f450,plain,(
% 0.20/0.38    spl0_3 <=> sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,veabs),X2)|vtcheck(vbind(sk0_21,X3,sk0_22),vabs(X0,X1,veabs),X2)),
% 0.20/0.38    introduced(split_symbol_definition)).
% 0.20/0.38  fof(f451,plain,(
% 0.20/0.38    ![X0,X1,X2,X3]: (sk0_21=X0|~vtcheck(sk0_22,vabs(X0,X1,veabs),X2)|vtcheck(vbind(sk0_21,X3,sk0_22),vabs(X0,X1,veabs),X2)|~spl0_3)),
% 0.20/0.38    inference(component_clause,[status(thm)],[f450])).
% 0.20/0.38  fof(f453,plain,(
% 0.20/0.38    ![X0,X1,X2,X3]: (sk0_21=X0|~vnoType=vnoType|~vtcheck(sk0_22,vabs(X0,X1,veabs),X2)|vtcheck(vbind(sk0_21,X3,sk0_22),vabs(X0,X1,veabs),X2))),
% 0.20/0.38    inference(paramodulation,[status(thm)],[f259,f252])).
% 0.20/0.38  fof(f454,plain,(
% 0.20/0.38    spl0_3|~spl0_0),
% 0.20/0.38    inference(split_clause,[status(thm)],[f453,f450,f431])).
% 0.20/0.38  fof(f487,plain,(
% 0.20/0.38    spl0_9 <=> sk0_21=sk0_23),
% 0.20/0.38    introduced(split_symbol_definition)).
% 0.20/0.38  fof(f488,plain,(
% 0.20/0.38    sk0_21=sk0_23|~spl0_9),
% 0.20/0.38    inference(component_clause,[status(thm)],[f487])).
% 0.20/0.38  fof(f490,plain,(
% 0.20/0.38    spl0_10 <=> vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)),
% 0.20/0.38    introduced(split_symbol_definition)).
% 0.20/0.38  fof(f492,plain,(
% 0.20/0.38    ~vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)|spl0_10),
% 0.20/0.38    inference(component_clause,[status(thm)],[f490])).
% 0.20/0.38  fof(f493,plain,(
% 0.20/0.38    sk0_21=sk0_23|~vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)|~spl0_3),
% 0.20/0.38    inference(resolution,[status(thm)],[f451,f261])).
% 0.20/0.38  fof(f494,plain,(
% 0.20/0.38    spl0_9|~spl0_10|~spl0_3),
% 0.20/0.38    inference(split_clause,[status(thm)],[f493,f487,f490,f450])).
% 0.20/0.38  fof(f495,plain,(
% 0.20/0.38    $false|spl0_10),
% 0.20/0.38    inference(forward_subsumption_resolution,[status(thm)],[f492,f260])).
% 0.20/0.38  fof(f496,plain,(
% 0.20/0.38    spl0_10),
% 0.20/0.38    inference(contradiction_clause,[status(thm)],[f495])).
% 0.20/0.38  fof(f497,plain,(
% 0.20/0.38    ~vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_21,sk0_24,veabs),sk0_25)|~spl0_9),
% 0.20/0.38    inference(backward_demodulation,[status(thm)],[f488,f261])).
% 0.20/0.38  fof(f498,plain,(
% 0.20/0.38    vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)|~spl0_9),
% 0.20/0.38    inference(backward_demodulation,[status(thm)],[f488,f260])).
% 0.20/0.38  fof(f499,plain,(
% 0.20/0.38    ~vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)|~spl0_9|~spl0_2),
% 0.20/0.38    inference(resolution,[status(thm)],[f497,f444])).
% 0.20/0.38  fof(f500,plain,(
% 0.20/0.38    $false|~spl0_9|~spl0_2),
% 0.20/0.38    inference(forward_subsumption_resolution,[status(thm)],[f499,f498])).
% 0.20/0.38  fof(f501,plain,(
% 0.20/0.38    ~spl0_9|~spl0_2),
% 0.20/0.38    inference(contradiction_clause,[status(thm)],[f500])).
% 0.20/0.38  fof(f502,plain,(
% 0.20/0.38    $false),
% 0.20/0.38    inference(sat_refutation,[status(thm)],[f441,f447,f454,f494,f496,f501])).
% 0.20/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.40  % Elapsed time: 0.031938 seconds
% 0.20/0.40  % CPU time: 0.048318 seconds
% 0.20/0.40  % Total memory used: 14.701 MB
% 0.20/0.40  % Net memory used: 14.665 MB
%------------------------------------------------------------------------------