TSTP Solution File: NUN059+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Wed May 31 12:31:13 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUN059+2 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n011.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:44:27 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f1,axiom,(
% 0.15/0.32 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f6,axiom,(
% 0.15/0.32 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f8,axiom,(
% 0.15/0.32 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f9,axiom,(
% 0.15/0.32 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( r1(Y18)& Y8 = Y18 ) )) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f12,conjecture,(
% 0.15/0.32 (? [Y1,Y3,Y2,Y4] :( (? [Y5] :( r4(Y2,Y2,Y5)& Y4 = Y5 ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f13,negated_conjecture,(
% 0.15/0.32 ~((? [Y1,Y3,Y2,Y4] :( (? [Y5] :( r4(Y2,Y2,Y5)& Y4 = Y5 ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) ))),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f12])).
% 0.15/0.32 fof(f14,plain,(
% 0.15/0.32 ![Y24,X19]: (pd0_0(X19,Y24)=>(~r1(X19)&~X19=Y24))),
% 0.15/0.32 introduced(predicate_definition,[f1])).
% 0.15/0.32 fof(f15,plain,(
% 0.15/0.32 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.15/0.32 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.15/0.32 fof(f16,plain,(
% 0.15/0.32 ![X19]: (pd0_0(X19,sk0_0)|(r1(X19)&X19=sk0_0))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f15])).
% 0.15/0.32 fof(f18,plain,(
% 0.15/0.32 ![X0]: (pd0_0(X0,sk0_0)|X0=sk0_0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.32 fof(f40,plain,(
% 0.15/0.32 ![X2,X9]: (((r2(X9,sk0_10(X9,X2))&r4(X2,sk0_10(X9,X2),sk0_9(X9,X2)))&sk0_9(X9,X2)=sk0_8(X9,X2))&(r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))&r4(X2,X9,sk0_11(X9,X2))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f6])).
% 0.15/0.32 fof(f45,plain,(
% 0.15/0.32 ![X0,X1]: (r4(X0,X1,sk0_11(X1,X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f40])).
% 0.15/0.32 fof(f47,plain,(
% 0.15/0.32 ![X4]: ((r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4)))&sk0_12(X4)=X4)),
% 0.15/0.32 inference(skolemization,[status(esa)],[f8])).
% 0.15/0.32 fof(f48,plain,(
% 0.15/0.32 ![X0]: (r1(sk0_13(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.32 fof(f49,plain,(
% 0.15/0.32 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.32 fof(f50,plain,(
% 0.15/0.32 ![X0]: (sk0_12(X0)=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.32 fof(f51,plain,(
% 0.15/0.32 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(r1(sk0_16(X5))&sk0_14(X5)=sk0_16(X5)))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f9])).
% 0.15/0.32 fof(f52,plain,(
% 0.15/0.32 ![X0]: (r1(sk0_15(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.32 fof(f53,plain,(
% 0.15/0.32 ![X0]: (r4(X0,sk0_15(X0),sk0_14(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.32 fof(f54,plain,(
% 0.15/0.32 ![X0]: (r1(sk0_16(X0)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.32 fof(f55,plain,(
% 0.15/0.32 ![X0]: (sk0_14(X0)=sk0_16(X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.32 fof(f64,plain,(
% 0.15/0.32 (![Y1,Y3,Y2,Y4]: ((![Y5]: (~r4(Y2,Y2,Y5)|~Y4=Y5))|(![Y6]: (~r4(Y3,Y3,Y6)|(![Y7]: (~r4(Y1,Y1,Y7)|~r3(Y7,Y6,Y4)))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.15/0.32 fof(f65,plain,(
% 0.15/0.32 ![Y4]: ((![Y5]: ((![Y2]: ~r4(Y2,Y2,Y5))|~Y4=Y5))|(![Y6]: ((![Y3]: ~r4(Y3,Y3,Y6))|(![Y7]: ((![Y1]: ~r4(Y1,Y1,Y7))|~r3(Y7,Y6,Y4))))))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f64])).
% 0.15/0.32 fof(f66,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4,X5,X6]: (~r4(X0,X0,X1)|~X2=X1|~r4(X3,X3,X4)|~r4(X5,X5,X6)|~r3(X6,X4,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.32 fof(f67,plain,(
% 0.15/0.32 ![Y24,X19]: (~pd0_0(X19,Y24)|(~r1(X19)&~X19=Y24))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.15/0.32 fof(f68,plain,(
% 0.15/0.32 ![X0,X1]: (~pd0_0(X0,X1)|~r1(X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f67])).
% 0.15/0.32 fof(f84,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4,X5]: (~r4(X0,X0,X1)|~r4(X2,X2,X3)|~r4(X4,X4,X5)|~r3(X5,X3,X1))),
% 0.15/0.32 inference(destructive_equality_resolution,[status(esa)],[f66])).
% 0.15/0.32 fof(f90,plain,(
% 0.15/0.32 ![X0]: (r1(sk0_14(X0)))),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f55,f54])).
% 0.15/0.32 fof(f95,plain,(
% 0.15/0.32 ![X0]: (~r1(X0)|X0=sk0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f68,f18])).
% 0.15/0.32 fof(f96,plain,(
% 0.15/0.32 ![X0]: (sk0_14(X0)=sk0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f95,f90])).
% 0.15/0.32 fof(f97,plain,(
% 0.15/0.32 ![X0]: (sk0_15(X0)=sk0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f95,f52])).
% 0.15/0.32 fof(f98,plain,(
% 0.15/0.32 ![X0]: (sk0_13(X0)=sk0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f95,f48])).
% 0.15/0.32 fof(f105,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4]: (~r4(X0,X0,X1)|~r4(X2,X2,X3)|~r3(sk0_11(X4,X4),X3,X1))),
% 0.15/0.32 inference(resolution,[status(thm)],[f45,f84])).
% 0.15/0.32 fof(f114,plain,(
% 0.15/0.32 ![X0]: (r3(X0,sk0_0,sk0_12(X0)))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f98,f49])).
% 0.15/0.32 fof(f115,plain,(
% 0.15/0.32 ![X0]: (r3(X0,sk0_0,X0))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f50,f114])).
% 0.15/0.32 fof(f116,plain,(
% 0.15/0.32 spl0_0 <=> ~r4(X0,X0,sk0_11(X1,X1))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f117,plain,(
% 0.15/0.32 ![X0,X1]: (~r4(X0,X0,sk0_11(X1,X1))|~spl0_0)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f116])).
% 0.15/0.32 fof(f119,plain,(
% 0.15/0.32 spl0_1 <=> ~r4(X2,X2,sk0_0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f120,plain,(
% 0.15/0.32 ![X0]: (~r4(X0,X0,sk0_0)|~spl0_1)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f119])).
% 0.15/0.32 fof(f122,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~r4(X0,X0,sk0_11(X1,X1))|~r4(X2,X2,sk0_0))),
% 0.15/0.32 inference(resolution,[status(thm)],[f115,f105])).
% 0.15/0.32 fof(f123,plain,(
% 0.15/0.32 spl0_0|spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f122,f116,f119])).
% 0.15/0.32 fof(f124,plain,(
% 0.15/0.32 $false|~spl0_0),
% 0.15/0.32 inference(resolution,[status(thm)],[f117,f45])).
% 0.15/0.32 fof(f125,plain,(
% 0.15/0.32 ~spl0_0),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f124])).
% 0.15/0.32 fof(f126,plain,(
% 0.15/0.32 ![X0]: (r4(X0,sk0_0,sk0_14(X0)))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f97,f53])).
% 0.15/0.32 fof(f127,plain,(
% 0.15/0.32 ![X0]: (r4(X0,sk0_0,sk0_0))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f96,f126])).
% 0.15/0.32 fof(f128,plain,(
% 0.15/0.32 $false|~spl0_1),
% 0.15/0.32 inference(resolution,[status(thm)],[f127,f120])).
% 0.15/0.32 fof(f129,plain,(
% 0.15/0.32 ~spl0_1),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f128])).
% 0.15/0.32 fof(f130,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f123,f125,f129])).
% 0.15/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.54 % Elapsed time: 0.014089 seconds
% 0.15/0.54 % CPU time: 0.013388 seconds
% 0.15/0.54 % Memory used: 3.698 MB
%------------------------------------------------------------------------------