TSTP Solution File: NUN056+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:36:17 EDT 2024
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN056+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Mon Apr 29 22:40:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f1,axiom,(
% 0.19/0.45 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f2,axiom,(
% 0.19/0.45 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f3,axiom,(
% 0.19/0.45 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f5,axiom,(
% 0.19/0.45 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f8,axiom,(
% 0.19/0.45 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f12,conjecture,(
% 0.19/0.45 (? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y5] :( r2(Y5,Y3)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )) )))& (? [Y4] :( (? [Y6] :( r3(Y6,Y4,Y1)& (? [Y9] :( r1(Y9)& r2(Y9,Y6) ) )))& (? [Y7] :( r2(Y7,Y4)& (? [Y10] :( r1(Y10)& r2(Y10,Y7) ) )) )) )) )),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f13,negated_conjecture,(
% 0.19/0.45 ~((? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y5] :( r2(Y5,Y3)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )) )))& (? [Y4] :( (? [Y6] :( r3(Y6,Y4,Y1)& (? [Y9] :( r1(Y9)& r2(Y9,Y6) ) )))& (? [Y7] :( r2(Y7,Y4)& (? [Y10] :( r1(Y10)& r2(Y10,Y7) ) )) )) )) ))),
% 0.19/0.45 inference(negated_conjecture,[status(cth)],[f12])).
% 0.19/0.45 fof(f14,plain,(
% 0.19/0.45 ![Y24,X19]: (pd0_0(X19,Y24)=>(~r1(X19)&~X19=Y24))),
% 0.19/0.45 introduced(predicate_definition,[f1])).
% 0.19/0.45 fof(f15,plain,(
% 0.19/0.45 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.19/0.45 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.19/0.45 fof(f16,plain,(
% 0.19/0.45 ![X19]: (pd0_0(X19,sk0_0)|(r1(X19)&X19=sk0_0))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f15])).
% 0.19/0.45 fof(f17,plain,(
% 0.19/0.45 ![X0]: (pd0_0(X0,sk0_0)|r1(X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.45 fof(f18,plain,(
% 0.19/0.45 ![X0]: (pd0_0(X0,sk0_0)|X0=sk0_0)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.45 fof(f19,plain,(
% 0.19/0.45 ![X11,Y21,X12]: (pd0_1(X12,Y21,X11)=>(~r2(X11,X12)&~X12=Y21))),
% 0.19/0.45 introduced(predicate_definition,[f2])).
% 0.19/0.45 fof(f20,plain,(
% 0.19/0.45 ![X11]: ?[Y21]: ![X12]: (pd0_1(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 0.19/0.45 inference(formula_renaming,[status(thm)],[f2,f19])).
% 0.19/0.45 fof(f21,plain,(
% 0.19/0.45 ![X11]: ![X12]: (pd0_1(X12,sk0_1(X11),X11)|(r2(X11,X12)&X12=sk0_1(X11)))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f20])).
% 0.19/0.45 fof(f22,plain,(
% 0.19/0.45 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|r2(X1,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.45 fof(f23,plain,(
% 0.19/0.45 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|X0=sk0_1(X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.45 fof(f24,plain,(
% 0.19/0.45 ![X13,X14,Y22,X15]: (pd0_2(X15,Y22,X14,X13)=>(~r3(X13,X14,X15)&~X15=Y22))),
% 0.19/0.45 introduced(predicate_definition,[f3])).
% 0.19/0.45 fof(f25,plain,(
% 0.19/0.45 ![X13,X14]: ?[Y22]: ![X15]: (pd0_2(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 0.19/0.45 inference(formula_renaming,[status(thm)],[f3,f24])).
% 0.19/0.45 fof(f26,plain,(
% 0.19/0.45 ![X13,X14]: ![X15]: (pd0_2(X15,sk0_2(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sk0_2(X14,X13)))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f25])).
% 0.19/0.45 fof(f28,plain,(
% 0.19/0.45 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|X0=sk0_2(X1,X2))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.45 fof(f34,plain,(
% 0.19/0.45 ![X1,X8]: (((r2(X8,sk0_6(X8,X1))&r3(X1,sk0_6(X8,X1),sk0_5(X8,X1)))&sk0_5(X8,X1)=sk0_4(X8,X1))&(r2(sk0_7(X8,X1),sk0_4(X8,X1))&r3(X1,X8,sk0_7(X8,X1))))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f5])).
% 0.19/0.45 fof(f35,plain,(
% 0.19/0.45 ![X0,X1]: (r2(X0,sk0_6(X0,X1)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f36,plain,(
% 0.19/0.45 ![X0,X1]: (r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f37,plain,(
% 0.19/0.45 ![X0,X1]: (sk0_5(X0,X1)=sk0_4(X0,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f38,plain,(
% 0.19/0.45 ![X0,X1]: (r2(sk0_7(X0,X1),sk0_4(X0,X1)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f39,plain,(
% 0.19/0.45 ![X0,X1]: (r3(X0,X1,sk0_7(X1,X0)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.45 fof(f47,plain,(
% 0.19/0.45 ![X4]: ((r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4)))&sk0_12(X4)=X4)),
% 0.19/0.45 inference(skolemization,[status(esa)],[f8])).
% 0.19/0.45 fof(f48,plain,(
% 0.19/0.45 ![X0]: (r1(sk0_13(X0)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f47])).
% 0.19/0.45 fof(f49,plain,(
% 0.19/0.45 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f47])).
% 0.19/0.45 fof(f50,plain,(
% 0.19/0.45 ![X0]: (sk0_12(X0)=X0)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f47])).
% 0.19/0.45 fof(f64,plain,(
% 0.19/0.45 (![Y1]: ((![Y2]: (~Y1=Y2|(![Y3]: (~r2(Y3,Y2)|(![Y5]: (~r2(Y5,Y3)|(![Y8]: (~r1(Y8)|~r2(Y8,Y5)))))))))|(![Y4]: ((![Y6]: (~r3(Y6,Y4,Y1)|(![Y9]: (~r1(Y9)|~r2(Y9,Y6)))))|(![Y7]: (~r2(Y7,Y4)|(![Y10]: (~r1(Y10)|~r2(Y10,Y7)))))))))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.19/0.45 fof(f65,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~X0=X1|~r2(X2,X1)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3)|~r3(X5,X6,X0)|~r1(X7)|~r2(X7,X5)|~r2(X8,X6)|~r1(X9)|~r2(X9,X8))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f64])).
% 0.19/0.45 fof(f66,plain,(
% 0.19/0.45 ![Y24,X19]: (~pd0_0(X19,Y24)|(~r1(X19)&~X19=Y24))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.45 fof(f67,plain,(
% 0.19/0.45 ![X0,X1]: (~pd0_0(X0,X1)|~r1(X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f66])).
% 0.19/0.45 fof(f68,plain,(
% 0.19/0.45 ![X0,X1]: (~pd0_0(X0,X1)|~X0=X1)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f66])).
% 0.19/0.45 fof(f69,plain,(
% 0.19/0.45 ![X11,Y21,X12]: (~pd0_1(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.45 fof(f70,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~r2(X2,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.45 fof(f71,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~X0=X1)),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.45 fof(f72,plain,(
% 0.19/0.45 ![X13,X14,Y22,X15]: (~pd0_2(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.19/0.45 fof(f73,plain,(
% 0.19/0.45 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f72])).
% 0.19/0.45 fof(f83,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~r2(X0,X1)|~r2(X2,X0)|~r1(X3)|~r2(X3,X2)|~r3(X4,X5,X1)|~r1(X6)|~r2(X6,X4)|~r2(X7,X5)|~r1(X8)|~r2(X8,X7))),
% 0.19/0.45 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 0.19/0.45 fof(f84,plain,(
% 0.19/0.45 ![X0]: (~pd0_0(X0,X0))),
% 0.19/0.45 inference(destructive_equality_resolution,[status(esa)],[f68])).
% 0.19/0.45 fof(f85,plain,(
% 0.19/0.45 ![X0,X1]: (~pd0_1(X0,X0,X1))),
% 0.19/0.45 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 0.19/0.45 fof(f88,plain,(
% 0.19/0.45 r1(sk0_0)),
% 0.19/0.45 inference(resolution,[status(thm)],[f17,f84])).
% 0.19/0.45 fof(f90,plain,(
% 0.19/0.45 ![X0]: (r2(X0,sk0_1(X0)))),
% 0.19/0.45 inference(resolution,[status(thm)],[f22,f85])).
% 0.19/0.45 fof(f97,plain,(
% 0.19/0.45 ![X0]: (~r1(X0)|X0=sk0_0)),
% 0.19/0.45 inference(resolution,[status(thm)],[f67,f18])).
% 0.19/0.45 fof(f100,plain,(
% 0.19/0.45 ![X0]: (sk0_13(X0)=sk0_0)),
% 0.19/0.45 inference(resolution,[status(thm)],[f97,f48])).
% 0.19/0.45 fof(f109,plain,(
% 0.19/0.45 ![X0]: (r3(X0,sk0_0,sk0_12(X0)))),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f100,f49])).
% 0.19/0.45 fof(f110,plain,(
% 0.19/0.45 ![X0]: (r3(X0,sk0_0,X0))),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f50,f109])).
% 0.19/0.45 fof(f172,plain,(
% 0.19/0.45 ![X0,X1]: (~r2(X0,X1)|X1=sk0_1(X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f70,f23])).
% 0.19/0.45 fof(f174,plain,(
% 0.19/0.45 ![X0,X1]: (sk0_6(X0,X1)=sk0_1(X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f172,f35])).
% 0.19/0.45 fof(f237,plain,(
% 0.19/0.45 ![X0,X1]: (r3(X0,sk0_1(X1),sk0_5(X1,X0)))),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f174,f36])).
% 0.19/0.45 fof(f238,plain,(
% 0.19/0.45 ![X0,X1]: (r3(X0,sk0_1(X1),sk0_4(X1,X0)))),
% 0.19/0.45 inference(forward_demodulation,[status(thm)],[f37,f237])).
% 0.19/0.45 fof(f239,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r2(X0,sk0_4(X1,X2))|~r2(X3,X0)|~r1(X4)|~r2(X4,X3)|~r1(X5)|~r2(X5,X2)|~r2(X6,sk0_1(X1))|~r1(X7)|~r2(X7,X6))),
% 0.19/0.45 inference(resolution,[status(thm)],[f238,f83])).
% 0.19/0.45 fof(f241,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sk0_7(X1,X2))|~r1(X3)|~r2(X3,X0)|~r1(X4)|~r2(X4,X2)|~r2(X5,sk0_1(X1))|~r1(X6)|~r2(X6,X5))),
% 0.19/0.45 inference(resolution,[status(thm)],[f239,f38])).
% 0.19/0.45 fof(f246,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~r3(X0,X1,X2)|X2=sk0_2(X1,X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f73,f28])).
% 0.19/0.45 fof(f248,plain,(
% 0.19/0.45 ![X0,X1]: (sk0_4(X0,X1)=sk0_2(sk0_1(X0),X1))),
% 0.19/0.45 inference(resolution,[status(thm)],[f246,f238])).
% 0.19/0.45 fof(f249,plain,(
% 0.19/0.45 ![X0]: (X0=sk0_2(sk0_0,X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f246,f110])).
% 0.19/0.45 fof(f250,plain,(
% 0.19/0.45 ![X0,X1]: (sk0_7(X0,X1)=sk0_2(X0,X1))),
% 0.19/0.45 inference(resolution,[status(thm)],[f246,f39])).
% 0.19/0.45 fof(f257,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sk0_2(X1,X2))|~r1(X3)|~r2(X3,X0)|~r1(X4)|~r2(X4,X2)|~r2(X5,sk0_1(X1))|~r1(X6)|~r2(X6,X5))),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f250,f241])).
% 0.19/0.45 fof(f260,plain,(
% 0.19/0.45 ![X0,X1]: (r2(sk0_2(X0,X1),sk0_4(X0,X1)))),
% 0.19/0.45 inference(backward_demodulation,[status(thm)],[f250,f38])).
% 0.19/0.45 fof(f434,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sk0_4(X1,X2))|~r1(X3)|~r2(X3,X0)|~r1(X4)|~r2(X4,X2)|~r2(X5,sk0_1(sk0_1(X1)))|~r1(X6)|~r2(X6,X5))),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f248,f257])).
% 0.19/0.45 fof(f440,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X0,sk0_2(X1,X2))|~r1(X3)|~r2(X3,X2)|~r2(X4,sk0_1(sk0_1(X1)))|~r1(X5)|~r2(X5,X4))),
% 0.19/0.45 inference(resolution,[status(thm)],[f434,f260])).
% 0.19/0.45 fof(f444,plain,(
% 0.19/0.45 spl0_7 <=> ~r2(X4,sk0_1(sk0_1(sk0_0)))|~r1(X5)|~r2(X5,X4)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f445,plain,(
% 0.19/0.45 ![X0,X1]: (~r2(X0,sk0_1(sk0_1(sk0_0)))|~r1(X1)|~r2(X1,X0)|~spl0_7)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f444])).
% 0.19/0.45 fof(f450,plain,(
% 0.19/0.45 spl0_8 <=> ~r1(X0)|~r2(X0,X1)|~r1(X2)|~r2(X2,X1)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f451,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r2(X2,X1)|~spl0_8)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f450])).
% 0.19/0.45 fof(f453,plain,(
% 0.19/0.45 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r2(X2,X1)|~r2(X3,sk0_1(sk0_1(sk0_0)))|~r1(X4)|~r2(X4,X3))),
% 0.19/0.45 inference(paramodulation,[status(thm)],[f249,f440])).
% 0.19/0.45 fof(f454,plain,(
% 0.19/0.45 spl0_8|spl0_7),
% 0.19/0.45 inference(split_clause,[status(thm)],[f453,f450,f444])).
% 0.19/0.45 fof(f641,plain,(
% 0.19/0.45 spl0_16 <=> r1(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f643,plain,(
% 0.19/0.45 ~r1(sk0_0)|spl0_16),
% 0.19/0.45 inference(component_clause,[status(thm)],[f641])).
% 0.19/0.45 fof(f694,plain,(
% 0.19/0.45 $false|spl0_16),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f643,f88])).
% 0.19/0.45 fof(f695,plain,(
% 0.19/0.45 spl0_16),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f694])).
% 0.19/0.45 fof(f825,plain,(
% 0.19/0.45 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_7)),
% 0.19/0.45 inference(resolution,[status(thm)],[f445,f90])).
% 0.19/0.45 fof(f832,plain,(
% 0.19/0.45 ~r1(sk0_0)|~spl0_7),
% 0.19/0.45 inference(resolution,[status(thm)],[f825,f90])).
% 0.19/0.45 fof(f833,plain,(
% 0.19/0.45 ~spl0_16|~spl0_7),
% 0.19/0.45 inference(split_clause,[status(thm)],[f832,f641,f444])).
% 0.19/0.45 fof(f858,plain,(
% 0.19/0.45 ![X0,X1]: (~r1(X0)|~r2(X0,sk0_1(X1))|~r1(X1)|~spl0_8)),
% 0.19/0.45 inference(resolution,[status(thm)],[f451,f90])).
% 0.19/0.45 fof(f860,plain,(
% 0.19/0.45 ![X0]: (~r1(X0)|~r1(X0)|~spl0_8)),
% 0.19/0.45 inference(resolution,[status(thm)],[f858,f90])).
% 0.19/0.45 fof(f861,plain,(
% 0.19/0.45 ![X0]: (~r1(X0)|~spl0_8)),
% 0.19/0.45 inference(duplicate_literals_removal,[status(esa)],[f860])).
% 0.19/0.45 fof(f869,plain,(
% 0.19/0.45 $false|~spl0_8),
% 0.19/0.45 inference(backward_subsumption_resolution,[status(thm)],[f88,f861])).
% 0.19/0.45 fof(f870,plain,(
% 0.19/0.45 ~spl0_8),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f869])).
% 0.19/0.45 fof(f871,plain,(
% 0.19/0.45 $false),
% 0.19/0.45 inference(sat_refutation,[status(thm)],[f454,f695,f833,f870])).
% 0.19/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.113302 seconds
% 0.19/0.46 % CPU time: 0.783181 seconds
% 0.19/0.46 % Total memory used: 65.235 MB
% 0.19/0.46 % Net memory used: 64.714 MB
%------------------------------------------------------------------------------