TSTP Solution File: KRS216+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:25:03 EDT 2024
% Result : Theorem 3.13s 0.78s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS216+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.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 : Mon Apr 29 23:20:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 3.13/0.78 % Refutation found
% 3.13/0.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.13/0.78 % SZS output start CNFRefutation for theBenchmark
% 3.13/0.78 fof(f1,axiom,(
% 3.13/0.78 (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))=> ~ (? [I2] : model(I2,C) ))<=> status(Ax,C,unp) ) )),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f5,axiom,(
% 3.13/0.78 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f18,axiom,(
% 3.13/0.78 (! [Ax,C] :( ( (! [I1] : model(I1,Ax))& (! [I2] : model(I2,not(C)) ))<=> status(Ax,C,uns) ) )),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f22,axiom,(
% 3.13/0.78 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f25,axiom,(
% 3.13/0.78 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f27,axiom,(
% 3.13/0.78 (? [F] :(! [I] : model(I,F) ))),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f29,axiom,(
% 3.13/0.78 (? [F] :(! [I] : ~ model(I,F) ))),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f33,conjecture,(
% 3.13/0.78 nota(uns,thm) ),
% 3.13/0.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.13/0.78 fof(f34,negated_conjecture,(
% 3.13/0.78 ~(nota(uns,thm) )),
% 3.13/0.78 inference(negated_conjecture,[status(cth)],[f33])).
% 3.13/0.78 fof(f35,plain,(
% 3.13/0.78 ![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))<=>status(Ax,C,unp))),
% 3.13/0.78 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.13/0.78 fof(f36,plain,(
% 3.13/0.78 ![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)))),
% 3.13/0.78 inference(NNF_transformation,[status(esa)],[f35])).
% 3.13/0.78 fof(f37,plain,(
% 3.13/0.78 (![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)))),
% 3.13/0.78 inference(miniscoping,[status(esa)],[f36])).
% 3.13/0.78 fof(f38,plain,(
% 3.13/0.78 (![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)))),
% 3.13/0.78 inference(skolemization,[status(esa)],[f37])).
% 3.13/0.78 fof(f39,plain,(
% 3.13/0.78 ![X0,X1,X2]: (~model(X0,X1)|status(X1,X2,unp))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f38])).
% 3.13/0.78 fof(f41,plain,(
% 3.13/0.78 ![X0,X1,X2]: (model(sk0_1(X0,X1),X1)|~model(X2,X0)|~status(X1,X0,unp))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f38])).
% 3.13/0.78 fof(f62,plain,(
% 3.13/0.78 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 3.13/0.78 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.13/0.78 fof(f63,plain,(
% 3.13/0.78 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 3.13/0.78 inference(NNF_transformation,[status(esa)],[f62])).
% 3.13/0.78 fof(f64,plain,(
% 3.13/0.78 (![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)))),
% 3.13/0.78 inference(miniscoping,[status(esa)],[f63])).
% 3.13/0.78 fof(f65,plain,(
% 3.13/0.78 (![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)))),
% 3.13/0.78 inference(skolemization,[status(esa)],[f64])).
% 3.13/0.78 fof(f68,plain,(
% 3.13/0.78 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f65])).
% 3.13/0.78 fof(f160,plain,(
% 3.13/0.78 ![Ax,C]: ((((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns))&(((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 3.13/0.78 inference(NNF_transformation,[status(esa)],[f18])).
% 3.13/0.78 fof(f161,plain,(
% 3.13/0.78 (![Ax,C]: (((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 3.13/0.78 inference(miniscoping,[status(esa)],[f160])).
% 3.13/0.78 fof(f162,plain,(
% 3.13/0.78 (![Ax,C]: ((~model(sk0_38(C,Ax),Ax)|~model(sk0_39(C,Ax),not(C)))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 3.13/0.78 inference(skolemization,[status(esa)],[f161])).
% 3.13/0.78 fof(f163,plain,(
% 3.13/0.78 ![X0,X1]: (~model(sk0_38(X0,X1),X1)|~model(sk0_39(X0,X1),not(X0))|status(X1,X0,uns))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f162])).
% 3.13/0.78 fof(f165,plain,(
% 3.13/0.78 ![X0,X1,X2]: (model(X0,not(X1))|~status(X2,X1,uns))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f162])).
% 3.13/0.78 fof(f187,plain,(
% 3.13/0.78 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 3.13/0.78 inference(NNF_transformation,[status(esa)],[f22])).
% 3.13/0.78 fof(f188,plain,(
% 3.13/0.78 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 3.13/0.78 inference(miniscoping,[status(esa)],[f187])).
% 3.13/0.78 fof(f189,plain,(
% 3.13/0.78 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((status(sk0_46(S2,S1),sk0_47(S2,S1),S1)&~status(sk0_46(S2,S1),sk0_47(S2,S1),S2))|~nota(S1,S2)))),
% 3.13/0.78 inference(skolemization,[status(esa)],[f188])).
% 3.13/0.78 fof(f190,plain,(
% 3.13/0.78 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f189])).
% 3.13/0.78 fof(f207,plain,(
% 3.13/0.78 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 3.13/0.78 inference(NNF_transformation,[status(esa)],[f25])).
% 3.13/0.78 fof(f208,plain,(
% 3.13/0.78 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 3.13/0.78 inference(miniscoping,[status(esa)],[f207])).
% 3.13/0.78 fof(f209,plain,(
% 3.13/0.78 ![X0,X1]: (model(X0,X1)|model(X0,not(X1)))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f208])).
% 3.13/0.78 fof(f210,plain,(
% 3.13/0.78 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f208])).
% 3.13/0.78 fof(f215,plain,(
% 3.13/0.78 ![I]: model(I,sk0_52)),
% 3.13/0.78 inference(skolemization,[status(esa)],[f27])).
% 3.13/0.78 fof(f216,plain,(
% 3.13/0.78 ![X0]: (model(X0,sk0_52))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f215])).
% 3.13/0.78 fof(f220,plain,(
% 3.13/0.78 ![I]: ~model(I,sk0_56)),
% 3.13/0.78 inference(skolemization,[status(esa)],[f29])).
% 3.13/0.78 fof(f221,plain,(
% 3.13/0.78 ![X0]: (~model(X0,sk0_56))),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f220])).
% 3.13/0.78 fof(f240,plain,(
% 3.13/0.78 ~nota(uns,thm)),
% 3.13/0.78 inference(cnf_transformation,[status(esa)],[f34])).
% 3.13/0.78 fof(f264,plain,(
% 3.13/0.78 ![X0,X1]: (~model(X0,X1)|~status(sk0_56,X1,unp))),
% 3.13/0.78 inference(resolution,[status(thm)],[f41,f221])).
% 3.13/0.78 fof(f266,plain,(
% 3.13/0.78 ![X0,X1,X2]: (~model(X0,X1)|~status(X2,X1,uns))),
% 3.13/0.78 inference(resolution,[status(thm)],[f210,f165])).
% 3.13/0.78 fof(f276,plain,(
% 3.13/0.78 spl0_2 <=> ~model(X0,X1)),
% 3.13/0.78 introduced(split_symbol_definition)).
% 3.13/0.78 fof(f277,plain,(
% 3.13/0.78 ![X0,X1]: (~model(X0,X1)|~spl0_2)),
% 3.13/0.78 inference(component_clause,[status(thm)],[f276])).
% 3.13/0.78 fof(f279,plain,(
% 3.13/0.78 spl0_3 <=> ~model(X2,sk0_56)),
% 3.13/0.78 introduced(split_symbol_definition)).
% 3.13/0.78 fof(f280,plain,(
% 3.13/0.78 ![X0]: (~model(X0,sk0_56)|~spl0_3)),
% 3.13/0.78 inference(component_clause,[status(thm)],[f279])).
% 3.13/0.78 fof(f282,plain,(
% 3.13/0.78 ![X0,X1,X2]: (~model(X0,X1)|~model(X2,sk0_56))),
% 3.13/0.78 inference(resolution,[status(thm)],[f264,f39])).
% 3.13/0.78 fof(f283,plain,(
% 3.13/0.78 spl0_2|spl0_3),
% 3.13/0.78 inference(split_clause,[status(thm)],[f282,f276,f279])).
% 3.13/0.78 fof(f287,plain,(
% 3.13/0.78 ![X0,X1]: (model(X0,not(X1))|~spl0_2)),
% 3.13/0.78 inference(backward_subsumption_resolution,[status(thm)],[f209,f277])).
% 3.13/0.78 fof(f288,plain,(
% 3.13/0.78 $false|~spl0_2),
% 3.13/0.78 inference(forward_subsumption_resolution,[status(thm)],[f287,f277])).
% 3.13/0.78 fof(f289,plain,(
% 3.13/0.78 ~spl0_2),
% 3.13/0.78 inference(contradiction_clause,[status(thm)],[f288])).
% 3.13/0.78 fof(f297,plain,(
% 3.13/0.78 ![X0,X1]: (model(X0,X1)|~status(sk0_52,X1,thm))),
% 3.13/0.78 inference(resolution,[status(thm)],[f216,f68])).
% 3.13/0.78 fof(f306,plain,(
% 3.13/0.78 ![X0,X1,X2]: (model(X0,X1)|~status(sk0_52,X1,X2)|nota(X2,thm))),
% 3.13/0.78 inference(resolution,[status(thm)],[f297,f190])).
% 3.13/0.78 fof(f307,plain,(
% 3.13/0.78 ![X0,X1]: (model(X0,X1)|~status(sk0_52,X1,uns))),
% 3.13/0.78 inference(resolution,[status(thm)],[f306,f240])).
% 3.13/0.78 fof(f308,plain,(
% 3.13/0.78 ![X0]: (~status(sk0_52,X0,uns))),
% 3.13/0.78 inference(forward_subsumption_resolution,[status(thm)],[f307,f266])).
% 3.13/0.78 fof(f909,plain,(
% 3.13/0.78 ![X0]: (~model(sk0_38(X0,sk0_52),sk0_52)|~model(sk0_39(X0,sk0_52),not(X0)))),
% 3.13/0.78 inference(resolution,[status(thm)],[f163,f308])).
% 3.13/0.78 fof(f910,plain,(
% 3.13/0.78 ![X0]: (~model(sk0_39(X0,sk0_52),not(X0)))),
% 3.13/0.78 inference(forward_subsumption_resolution,[status(thm)],[f909,f216])).
% 3.13/0.78 fof(f1086,plain,(
% 3.13/0.78 ![X0]: (model(sk0_39(X0,sk0_52),X0))),
% 3.13/0.78 inference(resolution,[status(thm)],[f910,f209])).
% 3.13/0.78 fof(f1123,plain,(
% 3.13/0.78 $false|~spl0_3),
% 3.13/0.78 inference(resolution,[status(thm)],[f1086,f280])).
% 3.13/0.78 fof(f1124,plain,(
% 3.13/0.78 ~spl0_3),
% 3.13/0.78 inference(contradiction_clause,[status(thm)],[f1123])).
% 3.13/0.78 fof(f1125,plain,(
% 3.13/0.78 $false),
% 3.13/0.78 inference(sat_refutation,[status(thm)],[f283,f289,f1124])).
% 3.13/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 3.13/0.78 % Elapsed time: 0.424057 seconds
% 3.13/0.78 % CPU time: 3.264321 seconds
% 3.13/0.78 % Total memory used: 41.799 MB
% 3.13/0.78 % Net memory used: 39.367 MB
%------------------------------------------------------------------------------