TSTP Solution File: KRS254+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:25:05 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n027.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:53:02 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f1,axiom,(
% 0.11/0.36 (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))=> ~ (? [I2] : model(I2,C) ))<=> status(Ax,C,unp) ) )),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f5,axiom,(
% 0.11/0.36 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f20,axiom,(
% 0.11/0.36 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f29,axiom,(
% 0.11/0.36 (? [F] :(! [I] : ~ model(I,F) ))),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f32,axiom,(
% 0.11/0.36 (? [I1,Ax,C] :( model(I1,Ax)& ~ model(I1,C)& (? [I2] : model(I2,C) )) )),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f33,conjecture,(
% 0.11/0.36 mighta(unp,thm) ),
% 0.11/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f34,negated_conjecture,(
% 0.11/0.36 ~(mighta(unp,thm) )),
% 0.11/0.36 inference(negated_conjecture,[status(cth)],[f33])).
% 0.11/0.36 fof(f35,plain,(
% 0.11/0.36 ![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))<=>status(Ax,C,unp))),
% 0.11/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.11/0.36 fof(f36,plain,(
% 0.11/0.36 ![Ax,C]: ((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp))&(((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.11/0.36 inference(NNF_transformation,[status(esa)],[f35])).
% 0.11/0.36 fof(f37,plain,(
% 0.11/0.36 (![Ax,C]: (((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp)))&(![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f36])).
% 0.11/0.36 fof(f38,plain,(
% 0.11/0.36 (![Ax,C]: (((![I1]: ~model(I1,Ax))&model(sk0_0(C,Ax),C))|status(Ax,C,unp)))&(![Ax,C]: ((model(sk0_1(C,Ax),Ax)|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.11/0.36 inference(skolemization,[status(esa)],[f37])).
% 0.11/0.36 fof(f39,plain,(
% 0.11/0.36 ![X0,X1,X2]: (~model(X0,X1)|status(X1,X2,unp))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f38])).
% 0.11/0.36 fof(f40,plain,(
% 0.11/0.36 ![X0,X1]: (model(sk0_0(X0,X1),X0)|status(X1,X0,unp))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f38])).
% 0.11/0.36 fof(f41,plain,(
% 0.11/0.36 ![X0,X1,X2]: (model(sk0_1(X0,X1),X1)|~model(X2,X0)|~status(X1,X0,unp))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f38])).
% 0.11/0.36 fof(f62,plain,(
% 0.11/0.36 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.11/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.11/0.36 fof(f63,plain,(
% 0.11/0.36 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.11/0.36 inference(NNF_transformation,[status(esa)],[f62])).
% 0.11/0.36 fof(f64,plain,(
% 0.11/0.36 (![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)))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f63])).
% 0.11/0.36 fof(f65,plain,(
% 0.11/0.36 (![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)))),
% 0.11/0.36 inference(skolemization,[status(esa)],[f64])).
% 0.11/0.36 fof(f66,plain,(
% 0.11/0.36 ![X0,X1]: (model(sk0_9(X0,X1),X1)|status(X1,X0,thm))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f65])).
% 0.11/0.36 fof(f174,plain,(
% 0.11/0.36 ![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)))),
% 0.11/0.36 inference(NNF_transformation,[status(esa)],[f20])).
% 0.11/0.36 fof(f175,plain,(
% 0.11/0.36 (![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)))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f174])).
% 0.11/0.36 fof(f176,plain,(
% 0.11/0.36 (![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)))),
% 0.11/0.36 inference(skolemization,[status(esa)],[f175])).
% 0.11/0.36 fof(f177,plain,(
% 0.11/0.36 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f176])).
% 0.11/0.36 fof(f220,plain,(
% 0.11/0.36 ![I]: ~model(I,sk0_56)),
% 0.11/0.36 inference(skolemization,[status(esa)],[f29])).
% 0.11/0.37 fof(f221,plain,(
% 0.11/0.37 ![X0]: (~model(X0,sk0_56))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f220])).
% 0.11/0.37 fof(f235,plain,(
% 0.11/0.37 ?[C]: ((?[I1]: ((?[Ax]: model(I1,Ax))&~model(I1,C)))&(?[I2]: model(I2,C)))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f32])).
% 0.11/0.37 fof(f236,plain,(
% 0.11/0.37 ((model(sk0_68,sk0_69)&~model(sk0_68,sk0_67))&model(sk0_70,sk0_67))),
% 0.11/0.37 inference(skolemization,[status(esa)],[f235])).
% 0.11/0.37 fof(f239,plain,(
% 0.11/0.37 model(sk0_70,sk0_67)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f236])).
% 0.11/0.37 fof(f240,plain,(
% 0.11/0.37 ~mighta(unp,thm)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.11/0.37 fof(f248,plain,(
% 0.11/0.37 ![X0,X1]: (~status(X0,X1,unp)|~status(X0,X1,thm))),
% 0.11/0.37 inference(resolution,[status(thm)],[f177,f240])).
% 0.11/0.37 fof(f249,plain,(
% 0.11/0.37 ![X0]: (status(X0,sk0_56,unp))),
% 0.11/0.37 inference(resolution,[status(thm)],[f221,f40])).
% 0.11/0.37 fof(f250,plain,(
% 0.11/0.37 ![X0,X1]: (~model(X0,X1)|~status(sk0_56,X1,unp))),
% 0.11/0.37 inference(resolution,[status(thm)],[f41,f221])).
% 0.11/0.37 fof(f261,plain,(
% 0.11/0.37 spl0_2 <=> ~model(X0,X1)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f262,plain,(
% 0.11/0.37 ![X0,X1]: (~model(X0,X1)|~spl0_2)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f261])).
% 0.11/0.37 fof(f264,plain,(
% 0.11/0.37 spl0_3 <=> ~model(X2,sk0_56)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f265,plain,(
% 0.11/0.37 ![X0]: (~model(X0,sk0_56)|~spl0_3)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f264])).
% 0.11/0.37 fof(f267,plain,(
% 0.11/0.37 ![X0,X1,X2]: (~model(X0,X1)|~model(X2,sk0_56))),
% 0.11/0.37 inference(resolution,[status(thm)],[f250,f39])).
% 0.11/0.37 fof(f268,plain,(
% 0.11/0.37 spl0_2|spl0_3),
% 0.11/0.37 inference(split_clause,[status(thm)],[f267,f261,f264])).
% 0.11/0.37 fof(f277,plain,(
% 0.11/0.37 $false|~spl0_2),
% 0.11/0.37 inference(backward_subsumption_resolution,[status(thm)],[f239,f262])).
% 0.11/0.37 fof(f278,plain,(
% 0.11/0.37 ~spl0_2),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f277])).
% 0.11/0.37 fof(f301,plain,(
% 0.11/0.37 ![X0]: (status(sk0_56,X0,thm)|~spl0_3)),
% 0.11/0.37 inference(resolution,[status(thm)],[f66,f265])).
% 0.11/0.37 fof(f303,plain,(
% 0.11/0.37 ![X0]: (~status(sk0_56,X0,unp)|~spl0_3)),
% 0.11/0.37 inference(resolution,[status(thm)],[f301,f248])).
% 0.11/0.37 fof(f304,plain,(
% 0.11/0.37 $false|~spl0_3),
% 0.11/0.37 inference(resolution,[status(thm)],[f303,f249])).
% 0.11/0.37 fof(f305,plain,(
% 0.11/0.37 ~spl0_3),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f304])).
% 0.11/0.37 fof(f306,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(sat_refutation,[status(thm)],[f268,f278,f305])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.036036 seconds
% 0.11/0.39 % CPU time: 0.083114 seconds
% 0.11/0.39 % Total memory used: 4.773 MB
% 0.11/0.39 % Net memory used: 4.746 MB
%------------------------------------------------------------------------------