TSTP Solution File: KRS264+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS264+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS264+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:41:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.45 % Refutation found
% 0.17/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.45 fof(f5,axiom,(
% 0.17/0.45 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f12,axiom,(
% 0.17/0.45 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( model(I3,C)& ~ model(I3,Ax) ))& (? [I4] : ~ model(I4,C) ))<=> status(Ax,C,wth) ) )),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f20,axiom,(
% 0.17/0.45 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f31,axiom,(
% 0.17/0.45 (? [Ax,C] :( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( ~ model(I3,Ax)& model(I3,C) ))& (? [I4] : ~ model(I4,C) )) )),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f33,conjecture,(
% 0.17/0.45 mighta(wth,thm) ),
% 0.17/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.45 fof(f34,negated_conjecture,(
% 0.17/0.45 ~(mighta(wth,thm) )),
% 0.17/0.45 inference(negated_conjecture,[status(cth)],[f33])).
% 0.17/0.45 fof(f62,plain,(
% 0.17/0.45 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.17/0.45 fof(f63,plain,(
% 0.17/0.45 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f62])).
% 0.17/0.45 fof(f64,plain,(
% 0.17/0.45 (![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)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f63])).
% 0.17/0.45 fof(f65,plain,(
% 0.17/0.45 (![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)))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f64])).
% 0.17/0.45 fof(f66,plain,(
% 0.17/0.45 ![X0,X1]: (model(sk0_9(X0,X1),X1)|status(X1,X0,thm))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f65])).
% 0.17/0.45 fof(f67,plain,(
% 0.17/0.45 ![X0,X1]: (~model(sk0_9(X0,X1),X0)|status(X1,X0,thm))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f65])).
% 0.17/0.45 fof(f115,plain,(
% 0.17/0.45 ![Ax,C]: (((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (model(I3,C)&~model(I3,Ax))))&(?[I4]: ~model(I4,C)))<=>status(Ax,C,wth))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.17/0.45 fof(f116,plain,(
% 0.17/0.45 ![Ax,C]: ((((((![I1]: ~model(I1,Ax))|(?[I2]: (model(I2,Ax)&~model(I2,C))))|(![I3]: (~model(I3,C)|model(I3,Ax))))|(![I4]: model(I4,C)))|status(Ax,C,wth))&(((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (model(I3,C)&~model(I3,Ax))))&(?[I4]: ~model(I4,C)))|~status(Ax,C,wth)))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f115])).
% 0.17/0.45 fof(f117,plain,(
% 0.17/0.45 (![Ax,C]: (((((![I1]: ~model(I1,Ax))|(?[I2]: (model(I2,Ax)&~model(I2,C))))|(![I3]: (~model(I3,C)|model(I3,Ax))))|(![I4]: model(I4,C)))|status(Ax,C,wth)))&(![Ax,C]: (((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (model(I3,C)&~model(I3,Ax))))&(?[I4]: ~model(I4,C)))|~status(Ax,C,wth)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f116])).
% 0.17/0.45 fof(f118,plain,(
% 0.17/0.45 (![Ax,C]: (((((![I1]: ~model(I1,Ax))|(model(sk0_25(C,Ax),Ax)&~model(sk0_25(C,Ax),C)))|(![I3]: (~model(I3,C)|model(I3,Ax))))|(![I4]: model(I4,C)))|status(Ax,C,wth)))&(![Ax,C]: ((((model(sk0_26(C,Ax),Ax)&(![I2]: (~model(I2,Ax)|model(I2,C))))&(model(sk0_27(C,Ax),C)&~model(sk0_27(C,Ax),Ax)))&~model(sk0_28(C,Ax),C))|~status(Ax,C,wth)))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f117])).
% 0.17/0.45 fof(f119,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~model(X0,X1)|model(sk0_25(X2,X1),X1)|~model(X3,X2)|model(X3,X1)|model(X4,X2)|status(X1,X2,wth))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f118])).
% 0.17/0.45 fof(f120,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~model(X0,X1)|~model(sk0_25(X2,X1),X2)|~model(X3,X2)|model(X3,X1)|model(X4,X2)|status(X1,X2,wth))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f118])).
% 0.17/0.45 fof(f174,plain,(
% 0.17/0.45 ![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)))),
% 0.17/0.45 inference(NNF_transformation,[status(esa)],[f20])).
% 0.17/0.45 fof(f175,plain,(
% 0.17/0.45 (![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)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f174])).
% 0.17/0.45 fof(f176,plain,(
% 0.17/0.45 (![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)))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f175])).
% 0.17/0.45 fof(f177,plain,(
% 0.17/0.45 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f176])).
% 0.17/0.45 fof(f227,plain,(
% 0.17/0.45 ?[Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C))))&(?[I4]: ~model(I4,C)))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.17/0.45 fof(f228,plain,(
% 0.17/0.45 ?[C]: ((?[Ax]: (((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C)))))&(?[I4]: ~model(I4,C)))),
% 0.17/0.45 inference(miniscoping,[status(esa)],[f227])).
% 0.17/0.45 fof(f229,plain,(
% 0.17/0.45 (((model(sk0_64,sk0_63)&(![I2]: (~model(I2,sk0_63)|model(I2,sk0_62))))&(~model(sk0_65,sk0_63)&model(sk0_65,sk0_62)))&~model(sk0_66,sk0_62))),
% 0.17/0.45 inference(skolemization,[status(esa)],[f228])).
% 0.17/0.45 fof(f230,plain,(
% 0.17/0.45 model(sk0_64,sk0_63)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.45 fof(f231,plain,(
% 0.17/0.45 ![X0]: (~model(X0,sk0_63)|model(X0,sk0_62))),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.45 fof(f232,plain,(
% 0.17/0.45 ~model(sk0_65,sk0_63)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.45 fof(f233,plain,(
% 0.17/0.45 model(sk0_65,sk0_62)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.45 fof(f234,plain,(
% 0.17/0.45 ~model(sk0_66,sk0_62)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.45 fof(f240,plain,(
% 0.17/0.45 ~mighta(wth,thm)),
% 0.17/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.17/0.45 fof(f248,plain,(
% 0.17/0.45 ![X0,X1]: (~status(X0,X1,wth)|~status(X0,X1,thm))),
% 0.17/0.45 inference(resolution,[status(thm)],[f177,f240])).
% 0.17/0.45 fof(f281,plain,(
% 0.17/0.45 ![X0]: (status(sk0_63,X0,thm)|model(sk0_9(X0,sk0_63),sk0_62))),
% 0.17/0.45 inference(resolution,[status(thm)],[f66,f231])).
% 0.17/0.45 fof(f336,plain,(
% 0.17/0.45 spl0_4 <=> ~model(X0,sk0_63)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f337,plain,(
% 0.17/0.45 ![X0]: (~model(X0,sk0_63)|~spl0_4)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f336])).
% 0.17/0.45 fof(f420,plain,(
% 0.17/0.45 spl0_10 <=> status(sk0_63,sk0_62,thm)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f421,plain,(
% 0.17/0.45 status(sk0_63,sk0_62,thm)|~spl0_10),
% 0.17/0.45 inference(component_clause,[status(thm)],[f420])).
% 0.17/0.45 fof(f423,plain,(
% 0.17/0.45 status(sk0_63,sk0_62,thm)|status(sk0_63,sk0_62,thm)),
% 0.17/0.45 inference(resolution,[status(thm)],[f281,f67])).
% 0.17/0.45 fof(f424,plain,(
% 0.17/0.45 spl0_10),
% 0.17/0.45 inference(split_clause,[status(thm)],[f423,f420])).
% 0.17/0.45 fof(f522,plain,(
% 0.17/0.45 $false|~spl0_4),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f230,f337])).
% 0.17/0.45 fof(f523,plain,(
% 0.17/0.45 ~spl0_4),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f522])).
% 0.17/0.45 fof(f553,plain,(
% 0.17/0.45 spl0_19 <=> model(sk0_25(X0,sk0_63),sk0_62)|~model(X2,X0)|model(X2,sk0_63)|model(X3,X0)|status(sk0_63,X0,wth)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f554,plain,(
% 0.17/0.45 ![X0,X1,X2]: (model(sk0_25(X0,sk0_63),sk0_62)|~model(X1,X0)|model(X1,sk0_63)|model(X2,X0)|status(sk0_63,X0,wth)|~spl0_19)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f553])).
% 0.17/0.45 fof(f556,plain,(
% 0.17/0.45 ![X0,X1,X2,X3]: (model(sk0_25(X0,sk0_63),sk0_62)|~model(X1,sk0_63)|~model(X2,X0)|model(X2,sk0_63)|model(X3,X0)|status(sk0_63,X0,wth))),
% 0.17/0.45 inference(resolution,[status(thm)],[f231,f119])).
% 0.17/0.45 fof(f557,plain,(
% 0.17/0.45 spl0_19|spl0_4),
% 0.17/0.45 inference(split_clause,[status(thm)],[f556,f553,f336])).
% 0.17/0.45 fof(f580,plain,(
% 0.17/0.45 spl0_20 <=> ~model(X0,sk0_62)|model(X0,sk0_63)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f581,plain,(
% 0.17/0.45 ![X0]: (~model(X0,sk0_62)|model(X0,sk0_63)|~spl0_20)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f580])).
% 0.17/0.45 fof(f583,plain,(
% 0.17/0.45 spl0_21 <=> model(X1,sk0_62)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f584,plain,(
% 0.17/0.45 ![X0]: (model(X0,sk0_62)|~spl0_21)),
% 0.17/0.45 inference(component_clause,[status(thm)],[f583])).
% 0.17/0.45 fof(f586,plain,(
% 0.17/0.45 spl0_22 <=> status(sk0_63,sk0_62,wth)),
% 0.17/0.45 introduced(split_symbol_definition)).
% 0.17/0.45 fof(f587,plain,(
% 0.17/0.45 status(sk0_63,sk0_62,wth)|~spl0_22),
% 0.17/0.45 inference(component_clause,[status(thm)],[f586])).
% 0.17/0.45 fof(f589,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4]: (~model(X0,sk0_62)|model(X0,sk0_63)|model(X1,sk0_62)|status(sk0_63,sk0_62,wth)|~model(X2,sk0_63)|~model(X3,sk0_62)|model(X3,sk0_63)|model(X4,sk0_62)|status(sk0_63,sk0_62,wth)|~spl0_19)),
% 0.17/0.45 inference(resolution,[status(thm)],[f554,f120])).
% 0.17/0.45 fof(f590,plain,(
% 0.17/0.45 spl0_20|spl0_21|spl0_22|spl0_4|~spl0_19),
% 0.17/0.45 inference(split_clause,[status(thm)],[f589,f580,f583,f586,f336,f553])).
% 0.17/0.45 fof(f594,plain,(
% 0.17/0.45 ~status(sk0_63,sk0_62,thm)|~spl0_22),
% 0.17/0.45 inference(resolution,[status(thm)],[f587,f248])).
% 0.17/0.45 fof(f595,plain,(
% 0.17/0.45 $false|~spl0_10|~spl0_22),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f594,f421])).
% 0.17/0.45 fof(f596,plain,(
% 0.17/0.45 ~spl0_10|~spl0_22),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f595])).
% 0.17/0.45 fof(f598,plain,(
% 0.17/0.45 ~model(sk0_65,sk0_62)|~spl0_20),
% 0.17/0.45 inference(resolution,[status(thm)],[f581,f232])).
% 0.17/0.45 fof(f599,plain,(
% 0.17/0.45 $false|~spl0_20),
% 0.17/0.45 inference(forward_subsumption_resolution,[status(thm)],[f598,f233])).
% 0.17/0.45 fof(f600,plain,(
% 0.17/0.45 ~spl0_20),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f599])).
% 0.17/0.45 fof(f601,plain,(
% 0.17/0.45 $false|~spl0_21),
% 0.17/0.45 inference(backward_subsumption_resolution,[status(thm)],[f234,f584])).
% 0.17/0.45 fof(f602,plain,(
% 0.17/0.45 ~spl0_21),
% 0.17/0.45 inference(contradiction_clause,[status(thm)],[f601])).
% 0.17/0.45 fof(f603,plain,(
% 0.17/0.45 $false),
% 0.17/0.45 inference(sat_refutation,[status(thm)],[f424,f523,f557,f590,f596,f600,f602])).
% 0.17/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.46 % Elapsed time: 0.128776 seconds
% 0.17/0.46 % CPU time: 0.925208 seconds
% 0.17/0.46 % Total memory used: 24.066 MB
% 0.17/0.46 % Net memory used: 23.130 MB
%------------------------------------------------------------------------------