TSTP Solution File: KRS263+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS263+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:25:07 EDT 2024
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS263+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:03:40 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,axiom,(
% 0.12/0.39 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (? [I2] : ~ model(I2,Ax))& (! [I3] : model(I3,C) ))<=> status(Ax,C,wtc) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,axiom,(
% 0.12/0.39 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,axiom,(
% 0.12/0.39 (? [F] :(! [I] : model(I,F) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,axiom,(
% 0.12/0.39 (? [F] :( (? [I1] : model(I1,F))& (? [I2] : ~ model(I2,F) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,conjecture,(
% 0.12/0.39 mighta(wtc,thm) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 ~(mighta(wtc,thm) )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f33])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.12/0.39 inference(NNF_transformation,[status(esa)],[f62])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 (![Ax,C]: ((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f63])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 (![Ax,C]: ((model(sk0_9(C,Ax),Ax)&~model(sk0_9(C,Ax),C))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.12/0.39 inference(skolemization,[status(esa)],[f64])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 ![X0,X1]: (~model(sk0_9(X0,X1),X0)|status(X1,X0,thm))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f65])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 ![Ax,C]: (((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|(?[I3]: ~model(I3,C)))|status(Ax,C,wtc))&((((?[I1]: model(I1,Ax))&(?[I2]: ~model(I2,Ax)))&(![I3]: model(I3,C)))|~status(Ax,C,wtc)))),
% 0.12/0.39 inference(NNF_transformation,[status(esa)],[f11])).
% 0.12/0.39 fof(f109,plain,(
% 0.12/0.39 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|(?[I3]: ~model(I3,C)))|status(Ax,C,wtc)))&(![Ax,C]: ((((?[I1]: model(I1,Ax))&(?[I2]: ~model(I2,Ax)))&(![I3]: model(I3,C)))|~status(Ax,C,wtc)))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f108])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|~model(sk0_22(C,Ax),C))|status(Ax,C,wtc)))&(![Ax,C]: (((model(sk0_23(C,Ax),Ax)&~model(sk0_24(C,Ax),Ax))&(![I3]: model(I3,C)))|~status(Ax,C,wtc)))),
% 0.12/0.39 inference(skolemization,[status(esa)],[f109])).
% 0.12/0.39 fof(f111,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|~model(sk0_22(X3,X1),X3)|status(X1,X3,wtc))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f110])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 ![X0,X1,X2]: (model(X0,X1)|~status(X2,X1,wtc))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f110])).
% 0.12/0.39 fof(f174,plain,(
% 0.12/0.39 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 0.12/0.39 inference(NNF_transformation,[status(esa)],[f20])).
% 0.12/0.39 fof(f175,plain,(
% 0.12/0.39 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f174])).
% 0.12/0.39 fof(f176,plain,(
% 0.12/0.39 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((status(sk0_42(S2,S1),sk0_43(S2,S1),S1)&status(sk0_42(S2,S1),sk0_43(S2,S1),S2))|~mighta(S1,S2)))),
% 0.12/0.39 inference(skolemization,[status(esa)],[f175])).
% 0.12/0.39 fof(f177,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f176])).
% 0.12/0.39 fof(f215,plain,(
% 0.12/0.39 ![I]: model(I,sk0_52)),
% 0.12/0.39 inference(skolemization,[status(esa)],[f27])).
% 0.12/0.39 fof(f216,plain,(
% 0.12/0.39 ![X0]: (model(X0,sk0_52))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f215])).
% 0.12/0.39 fof(f217,plain,(
% 0.12/0.39 (model(sk0_54,sk0_53)&~model(sk0_55,sk0_53))),
% 0.12/0.39 inference(skolemization,[status(esa)],[f28])).
% 0.12/0.39 fof(f218,plain,(
% 0.12/0.39 model(sk0_54,sk0_53)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f217])).
% 0.12/0.39 fof(f219,plain,(
% 0.12/0.39 ~model(sk0_55,sk0_53)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f217])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 ~mighta(wtc,thm)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f34])).
% 0.12/0.39 fof(f250,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~model(sk0_9(X0,X1),X0)|~status(X1,X0,X2)|mighta(X2,thm))),
% 0.12/0.39 inference(resolution,[status(thm)],[f67,f177])).
% 0.12/0.39 fof(f251,plain,(
% 0.12/0.39 ![X0,X1]: (~model(sk0_9(X0,X1),X0)|~status(X1,X0,wtc))),
% 0.12/0.39 inference(resolution,[status(thm)],[f250,f240])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 ![X0,X1]: (~status(X0,X1,wtc))),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f251,f114])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|~model(sk0_22(X3,X1),X3))),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f111,f252])).
% 0.12/0.39 fof(f271,plain,(
% 0.12/0.39 spl0_4 <=> ~model(X0,sk0_53)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f272,plain,(
% 0.12/0.39 ![X0]: (~model(X0,sk0_53)|~spl0_4)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f271])).
% 0.12/0.39 fof(f274,plain,(
% 0.12/0.39 spl0_5 <=> ~model(sk0_22(X1,sk0_53),X1)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f275,plain,(
% 0.12/0.39 ![X0]: (~model(sk0_22(X0,sk0_53),X0)|~spl0_5)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f274])).
% 0.12/0.39 fof(f277,plain,(
% 0.12/0.39 ![X0,X1]: (~model(X0,sk0_53)|~model(sk0_22(X1,sk0_53),X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f219,f253])).
% 0.12/0.39 fof(f278,plain,(
% 0.12/0.39 spl0_4|spl0_5),
% 0.12/0.39 inference(split_clause,[status(thm)],[f277,f271,f274])).
% 0.12/0.39 fof(f281,plain,(
% 0.12/0.39 $false|~spl0_4),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f218,f272])).
% 0.12/0.39 fof(f282,plain,(
% 0.12/0.39 ~spl0_4),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f281])).
% 0.12/0.39 fof(f283,plain,(
% 0.12/0.39 $false|~spl0_5),
% 0.12/0.39 inference(resolution,[status(thm)],[f275,f216])).
% 0.12/0.39 fof(f284,plain,(
% 0.12/0.39 ~spl0_5),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f283])).
% 0.12/0.39 fof(f285,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f278,f282,f284])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 % Elapsed time: 0.055903 seconds
% 0.19/0.40 % CPU time: 0.345001 seconds
% 0.19/0.40 % Total memory used: 16.039 MB
% 0.19/0.40 % Net memory used: 15.776 MB
%------------------------------------------------------------------------------