TSTP Solution File: NUN071+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:31:15 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN071+2 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:11:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (! [X16,X17] :(? [Y23] :(! [X18] :( ( ~ r4(X16,X17,X18)& X18 != Y23 )| ( r4(X16,X17,X18)& X18 = Y23 ) ) )))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,axiom,(
% 0.13/0.37 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( r1(Y18)& Y8 = Y18 ) )) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,conjecture,(
% 0.13/0.37 (? [Y1] :( (? [Y2] :( r4(Y2,Y2,Y1)& (? [Y4] :( r1(Y4)& r2(Y4,Y2) ) )))& (? [Y3] :( Y1 = Y3& (? [Y5] :( r1(Y5)& r2(Y5,Y3) ) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f13,negated_conjecture,(
% 0.13/0.37 ~((? [Y1] :( (? [Y2] :( r4(Y2,Y2,Y1)& (? [Y4] :( r1(Y4)& r2(Y4,Y2) ) )))& (? [Y3] :( Y1 = Y3& (? [Y5] :( r1(Y5)& r2(Y5,Y3) ) )) )) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ![Y24,X19]: (pd0_0(X19,Y24)=>(~r1(X19)&~X19=Y24))),
% 0.13/0.37 introduced(predicate_definition,[f1])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![X19]: (pd0_0(X19,sk0_0)|(r1(X19)&X19=sk0_0))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f15])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0]: (pd0_0(X0,sk0_0)|r1(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0]: (pd0_0(X0,sk0_0)|X0=sk0_0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![X11,Y21,X12]: (pd0_1(X12,Y21,X11)=>(~r2(X11,X12)&~X12=Y21))),
% 0.13/0.37 introduced(predicate_definition,[f2])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X11]: ?[Y21]: ![X12]: (pd0_1(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f2,f19])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X11]: ![X12]: (pd0_1(X12,sk0_1(X11),X11)|(r2(X11,X12)&X12=sk0_1(X11)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f20])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|r2(X1,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|X0=sk0_1(X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X13,X14,Y22,X15]: (pd0_2(X15,Y22,X14,X13)=>(~r3(X13,X14,X15)&~X15=Y22))),
% 0.13/0.37 introduced(predicate_definition,[f3])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![X13,X14]: ?[Y22]: ![X15]: (pd0_2(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f3,f24])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 ![X13,X14]: ![X15]: (pd0_2(X15,sk0_2(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sk0_2(X14,X13)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f25])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|X0=sk0_2(X1,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 ![X16,X17,Y23,X18]: (pd0_3(X18,Y23,X17,X16)=>(~r4(X16,X17,X18)&~X18=Y23))),
% 0.13/0.37 introduced(predicate_definition,[f4])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ![X16,X17]: ?[Y23]: ![X18]: (pd0_3(X18,Y23,X17,X16)|(r4(X16,X17,X18)&X18=Y23))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f4,f29])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![X16,X17]: ![X18]: (pd0_3(X18,sk0_3(X17,X16),X17,X16)|(r4(X16,X17,X18)&X18=sk0_3(X17,X16)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f30])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![X0,X1,X2]: (pd0_3(X0,sk0_3(X1,X2),X1,X2)|X0=sk0_3(X1,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![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))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f5])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![X0,X1]: (r2(X0,sk0_6(X0,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![X0,X1]: (r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_5(X0,X1)=sk0_4(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ![X0,X1]: (r2(sk0_7(X0,X1),sk0_4(X0,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ![X0,X1]: (r3(X0,X1,sk0_7(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![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))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f6])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ![X0,X1]: (r2(X0,sk0_10(X0,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0,X1]: (r4(X0,sk0_10(X1,X0),sk0_9(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_9(X0,X1)=sk0_8(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 ![X0,X1]: (r3(sk0_11(X0,X1),X1,sk0_8(X0,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ![X0,X1]: (r4(X0,X1,sk0_11(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 ![X4]: ((r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4)))&sk0_12(X4)=X4)),
% 0.13/0.37 inference(skolemization,[status(esa)],[f8])).
% 0.13/0.37 fof(f48,plain,(
% 0.13/0.37 ![X0]: (r1(sk0_13(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 ![X0]: (sk0_12(X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(r1(sk0_16(X5))&sk0_14(X5)=sk0_16(X5)))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f9])).
% 0.13/0.37 fof(f52,plain,(
% 0.13/0.37 ![X0]: (r1(sk0_15(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37 fof(f53,plain,(
% 0.13/0.37 ![X0]: (r4(X0,sk0_15(X0),sk0_14(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37 fof(f54,plain,(
% 0.13/0.37 ![X0]: (r1(sk0_16(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 ![X0]: (sk0_14(X0)=sk0_16(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 (![Y1]: ((![Y2]: (~r4(Y2,Y2,Y1)|(![Y4]: (~r1(Y4)|~r2(Y4,Y2)))))|(![Y3]: (~Y1=Y3|(![Y5]: (~r1(Y5)|~r2(Y5,Y3)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~r4(X0,X0,X1)|~r1(X2)|~r2(X2,X0)|~X1=X3|~r1(X4)|~r2(X4,X3))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f64])).
% 0.13/0.37 fof(f66,plain,(
% 0.13/0.37 ![Y24,X19]: (~pd0_0(X19,Y24)|(~r1(X19)&~X19=Y24))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f67,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_0(X0,X1)|~r1(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.37 fof(f68,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_0(X0,X1)|~X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 ![X11,Y21,X12]: (~pd0_1(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~r2(X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f69])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f69])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 ![X13,X14,Y22,X15]: (~pd0_2(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f73,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f72])).
% 0.13/0.37 fof(f75,plain,(
% 0.13/0.37 ![X16,X17,Y23,X18]: (~pd0_3(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~X18=Y23))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2,X3)|~r4(X3,X2,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f75])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~r4(X0,X0,X1)|~r1(X2)|~r2(X2,X0)|~r1(X3)|~r2(X3,X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 ![X0]: (~pd0_0(X0,X0))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f68])).
% 0.13/0.37 fof(f85,plain,(
% 0.13/0.37 ![X0,X1]: (~pd0_1(X0,X0,X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 r1(sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f17,f84])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ![X0]: (r1(sk0_14(X0)))),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f55,f54])).
% 0.13/0.37 fof(f90,plain,(
% 0.13/0.37 ![X0]: (r2(X0,sk0_1(X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f22,f85])).
% 0.13/0.37 fof(f97,plain,(
% 0.13/0.37 ![X0]: (~r1(X0)|X0=sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f67,f18])).
% 0.13/0.37 fof(f98,plain,(
% 0.13/0.37 ![X0]: (sk0_14(X0)=sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f89])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ![X0]: (sk0_15(X0)=sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f52])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ![X0]: (sk0_13(X0)=sk0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f48])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ![X0]: (r4(X0,sk0_0,sk0_14(X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f99,f53])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ![X0]: (r4(X0,sk0_0,sk0_0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f98,f107])).
% 0.13/0.37 fof(f114,plain,(
% 0.13/0.37 ![X0,X1]: (~r2(X0,X1)|X1=sk0_1(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f23])).
% 0.13/0.37 fof(f115,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_10(X0,X1)=sk0_1(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f114,f41])).
% 0.13/0.37 fof(f116,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_6(X0,X1)=sk0_1(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f114,f35])).
% 0.13/0.37 fof(f123,plain,(
% 0.13/0.37 ![X0,X1]: (r4(X0,sk0_1(X1),sk0_9(X1,X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f115,f42])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 ![X0,X1]: (r4(X0,sk0_1(X1),sk0_8(X1,X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f43,f123])).
% 0.13/0.37 fof(f125,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~r1(X0)|~r2(X0,sk0_1(X1))|~r1(X2)|~r2(X2,sk0_8(X1,sk0_1(X1))))),
% 0.13/0.37 inference(resolution,[status(thm)],[f124,f83])).
% 0.13/0.37 fof(f126,plain,(
% 0.13/0.37 ![X0,X1,X2]: (X0=sk0_3(X1,X2)|~r4(X2,X1,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f33,f76])).
% 0.13/0.37 fof(f128,plain,(
% 0.13/0.37 ![X0]: (sk0_0=sk0_3(sk0_0,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f126,f108])).
% 0.13/0.37 fof(f129,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_11(X0,X1)=sk0_3(X0,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f126,f45])).
% 0.13/0.37 fof(f140,plain,(
% 0.13/0.37 ![X0,X1]: (r3(X0,sk0_1(X1),sk0_5(X1,X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f116,f36])).
% 0.13/0.37 fof(f141,plain,(
% 0.13/0.37 ![X0,X1]: (r3(X0,sk0_1(X1),sk0_4(X1,X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f37,f140])).
% 0.13/0.37 fof(f142,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_4(X0,X1)=sk0_1(sk0_7(X0,X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f38,f114])).
% 0.13/0.37 fof(f145,plain,(
% 0.13/0.37 ![X0]: (r3(X0,sk0_0,sk0_12(X0)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f100,f49])).
% 0.13/0.37 fof(f146,plain,(
% 0.13/0.37 ![X0]: (r3(X0,sk0_0,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f50,f145])).
% 0.13/0.37 fof(f166,plain,(
% 0.13/0.37 ![X0,X1]: (r3(sk0_3(X0,X1),X1,sk0_8(X0,X1)))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f129,f44])).
% 0.13/0.37 fof(f168,plain,(
% 0.13/0.37 ![X0]: (r3(sk0_0,X0,sk0_8(sk0_0,X0)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f128,f166])).
% 0.13/0.37 fof(f169,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~r3(X0,X1,X2)|X2=sk0_2(X1,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f73,f28])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 ![X0]: (sk0_8(sk0_0,X0)=sk0_2(X0,sk0_0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f169,f168])).
% 0.13/0.37 fof(f172,plain,(
% 0.13/0.37 ![X0]: (X0=sk0_2(sk0_0,X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f169,f146])).
% 0.13/0.37 fof(f173,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_4(X0,X1)=sk0_2(sk0_1(X0),X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f169,f141])).
% 0.13/0.37 fof(f174,plain,(
% 0.13/0.37 ![X0,X1]: (sk0_7(X0,X1)=sk0_2(X0,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f169,f39])).
% 0.13/0.38 fof(f176,plain,(
% 0.13/0.38 ![X0,X1]: (sk0_4(X0,X1)=sk0_1(sk0_2(X0,X1)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f174,f142])).
% 0.13/0.38 fof(f196,plain,(
% 0.13/0.38 spl0_1 <=> ~r1(X0)|~r2(X0,sk0_4(sk0_0,sk0_0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 ![X0]: (~r1(X0)|~r2(X0,sk0_4(sk0_0,sk0_0))|~spl0_1)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.38 fof(f204,plain,(
% 0.13/0.38 spl0_3 <=> ~r1(X0)|~r2(X0,sk0_1(sk0_0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f205,plain,(
% 0.13/0.38 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_3)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f204])).
% 0.13/0.38 fof(f207,plain,(
% 0.13/0.38 spl0_4 <=> ~r1(X1)|~r2(X1,sk0_2(sk0_1(sk0_0),sk0_0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f208,plain,(
% 0.13/0.38 ![X0]: (~r1(X0)|~r2(X0,sk0_2(sk0_1(sk0_0),sk0_0))|~spl0_4)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f207])).
% 0.13/0.38 fof(f210,plain,(
% 0.13/0.38 ![X0,X1]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~r1(X1)|~r2(X1,sk0_2(sk0_1(sk0_0),sk0_0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f170,f125])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 spl0_3|spl0_4),
% 0.13/0.38 inference(split_clause,[status(thm)],[f210,f204,f207])).
% 0.13/0.38 fof(f215,plain,(
% 0.13/0.38 ~r1(sk0_0)|~spl0_3),
% 0.13/0.38 inference(resolution,[status(thm)],[f205,f90])).
% 0.13/0.38 fof(f216,plain,(
% 0.13/0.38 $false|~spl0_3),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f215,f88])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 ~spl0_3),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f216])).
% 0.13/0.38 fof(f224,plain,(
% 0.13/0.38 ![X0]: (sk0_4(sk0_0,X0)=sk0_1(X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f172,f176])).
% 0.13/0.38 fof(f263,plain,(
% 0.13/0.38 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f224,f197])).
% 0.13/0.38 fof(f264,plain,(
% 0.13/0.38 spl0_3|~spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f263,f204,f196])).
% 0.13/0.38 fof(f312,plain,(
% 0.13/0.38 ![X0]: (~r1(X0)|~r2(X0,sk0_4(sk0_0,sk0_0))|~spl0_4)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f173,f208])).
% 0.13/0.38 fof(f313,plain,(
% 0.13/0.38 spl0_1|~spl0_4),
% 0.13/0.38 inference(split_clause,[status(thm)],[f312,f196,f207])).
% 0.13/0.38 fof(f314,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f211,f217,f264,f313])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.039069 seconds
% 0.13/0.38 % CPU time: 0.159589 seconds
% 0.13/0.38 % Memory used: 19.659 MB
%------------------------------------------------------------------------------