TSTP Solution File: NUN072+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 3.91s 0.85s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 10:59:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 3.91/0.85 % Refutation found
% 3.91/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.91/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.91/0.85 fof(f1,axiom,(
% 3.91/0.85 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f2,axiom,(
% 3.91/0.85 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f3,axiom,(
% 3.91/0.85 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f4,axiom,(
% 3.91/0.85 (! [X16,X17] :(? [Y23] :(! [X18] :( ( ~ r4(X16,X17,X18)& X18 != Y23 )| ( r4(X16,X17,X18)& X18 = Y23 ) ) )))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f5,axiom,(
% 3.91/0.85 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f6,axiom,(
% 3.91/0.85 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f8,axiom,(
% 3.91/0.85 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f9,axiom,(
% 3.91/0.85 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( r1(Y18)& Y8 = Y18 ) )) ))),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f10,axiom,(
% 3.91/0.85 (! [X6] :( (? [Y19] :( r1(Y19)& X6 = Y19 ))| (? [Y1,Y11] :( r2(Y1,Y11)& X6 = Y11 ) )) )),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f11,axiom,(
% 3.91/0.85 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f12,conjecture,(
% 3.91/0.85 (? [Y1] :( (? [Y2] :( (? [Y4] :( r2(Y4,Y2)& (? [Y7] :( r1(Y7)& r2(Y7,Y4) ) )))& (? [Y5] :( r4(Y5,Y2,Y1)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )))& (? [Y3] :( Y1 = Y3& (? [Y6] :( r2(Y6,Y3)& (? [Y9] :( r1(Y9)& r2(Y9,Y6) ) )) )) )) )),
% 3.91/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.91/0.85 fof(f13,negated_conjecture,(
% 3.91/0.85 ~((? [Y1] :( (? [Y2] :( (? [Y4] :( r2(Y4,Y2)& (? [Y7] :( r1(Y7)& r2(Y7,Y4) ) )))& (? [Y5] :( r4(Y5,Y2,Y1)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )))& (? [Y3] :( Y1 = Y3& (? [Y6] :( r2(Y6,Y3)& (? [Y9] :( r1(Y9)& r2(Y9,Y6) ) )) )) )) ))),
% 3.91/0.85 inference(negated_conjecture,[status(cth)],[f12])).
% 3.91/0.85 fof(f14,plain,(
% 3.91/0.85 ![Y24,X19]: (pd0_0(X19,Y24)=>(~r1(X19)&~X19=Y24))),
% 3.91/0.85 introduced(predicate_definition,[f1])).
% 3.91/0.85 fof(f15,plain,(
% 3.91/0.85 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(r1(X19)&X19=Y24))),
% 3.91/0.85 inference(formula_renaming,[status(thm)],[f1,f14])).
% 3.91/0.85 fof(f16,plain,(
% 3.91/0.85 ![X19]: (pd0_0(X19,sk0_0)|(r1(X19)&X19=sk0_0))),
% 3.91/0.85 inference(skolemization,[status(esa)],[f15])).
% 3.91/0.85 fof(f17,plain,(
% 3.91/0.85 ![X0]: (pd0_0(X0,sk0_0)|r1(X0))),
% 3.91/0.85 inference(cnf_transformation,[status(esa)],[f16])).
% 3.91/0.85 fof(f18,plain,(
% 3.91/0.85 ![X0]: (pd0_0(X0,sk0_0)|X0=sk0_0)),
% 3.91/0.85 inference(cnf_transformation,[status(esa)],[f16])).
% 3.91/0.85 fof(f19,plain,(
% 3.91/0.85 ![X11,Y21,X12]: (pd0_1(X12,Y21,X11)=>(~r2(X11,X12)&~X12=Y21))),
% 3.91/0.85 introduced(predicate_definition,[f2])).
% 3.91/0.85 fof(f20,plain,(
% 3.91/0.85 ![X11]: ?[Y21]: ![X12]: (pd0_1(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 3.91/0.85 inference(formula_renaming,[status(thm)],[f2,f19])).
% 3.91/0.85 fof(f21,plain,(
% 3.91/0.85 ![X11]: ![X12]: (pd0_1(X12,sk0_1(X11),X11)|(r2(X11,X12)&X12=sk0_1(X11)))),
% 3.91/0.85 inference(skolemization,[status(esa)],[f20])).
% 3.91/0.85 fof(f22,plain,(
% 3.91/0.85 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|r2(X1,X0))),
% 3.91/0.85 inference(cnf_transformation,[status(esa)],[f21])).
% 3.91/0.85 fof(f23,plain,(
% 3.91/0.85 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|X0=sk0_1(X1))),
% 3.91/0.85 inference(cnf_transformation,[status(esa)],[f21])).
% 3.91/0.85 fof(f24,plain,(
% 3.91/0.85 ![X13,X14,Y22,X15]: (pd0_2(X15,Y22,X14,X13)=>(~r3(X13,X14,X15)&~X15=Y22))),
% 3.91/0.85 introduced(predicate_definition,[f3])).
% 3.91/0.85 fof(f25,plain,(
% 3.91/0.85 ![X13,X14]: ?[Y22]: ![X15]: (pd0_2(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 3.91/0.85 inference(formula_renaming,[status(thm)],[f3,f24])).
% 3.91/0.85 fof(f26,plain,(
% 3.91/0.85 ![X13,X14]: ![X15]: (pd0_2(X15,sk0_2(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sk0_2(X14,X13)))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f25])).
% 3.91/0.86 fof(f28,plain,(
% 3.91/0.86 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|X0=sk0_2(X1,X2))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f26])).
% 3.91/0.86 fof(f29,plain,(
% 3.91/0.86 ![X16,X17,Y23,X18]: (pd0_3(X18,Y23,X17,X16)=>(~r4(X16,X17,X18)&~X18=Y23))),
% 3.91/0.86 introduced(predicate_definition,[f4])).
% 3.91/0.86 fof(f30,plain,(
% 3.91/0.86 ![X16,X17]: ?[Y23]: ![X18]: (pd0_3(X18,Y23,X17,X16)|(r4(X16,X17,X18)&X18=Y23))),
% 3.91/0.86 inference(formula_renaming,[status(thm)],[f4,f29])).
% 3.91/0.86 fof(f31,plain,(
% 3.91/0.86 ![X16,X17]: ![X18]: (pd0_3(X18,sk0_3(X17,X16),X17,X16)|(r4(X16,X17,X18)&X18=sk0_3(X17,X16)))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f30])).
% 3.91/0.86 fof(f33,plain,(
% 3.91/0.86 ![X0,X1,X2]: (pd0_3(X0,sk0_3(X1,X2),X1,X2)|X0=sk0_3(X1,X2))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f31])).
% 3.91/0.86 fof(f34,plain,(
% 3.91/0.86 ![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))))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f5])).
% 3.91/0.86 fof(f35,plain,(
% 3.91/0.86 ![X0,X1]: (r2(X0,sk0_6(X0,X1)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f34])).
% 3.91/0.86 fof(f36,plain,(
% 3.91/0.86 ![X0,X1]: (r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f34])).
% 3.91/0.86 fof(f37,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_5(X0,X1)=sk0_4(X0,X1))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f34])).
% 3.91/0.86 fof(f38,plain,(
% 3.91/0.86 ![X0,X1]: (r2(sk0_7(X0,X1),sk0_4(X0,X1)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f34])).
% 3.91/0.86 fof(f39,plain,(
% 3.91/0.86 ![X0,X1]: (r3(X0,X1,sk0_7(X1,X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f34])).
% 3.91/0.86 fof(f40,plain,(
% 3.91/0.86 ![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))))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f6])).
% 3.91/0.86 fof(f41,plain,(
% 3.91/0.86 ![X0,X1]: (r2(X0,sk0_10(X0,X1)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f40])).
% 3.91/0.86 fof(f42,plain,(
% 3.91/0.86 ![X0,X1]: (r4(X0,sk0_10(X1,X0),sk0_9(X1,X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f40])).
% 3.91/0.86 fof(f43,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_9(X0,X1)=sk0_8(X0,X1))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f40])).
% 3.91/0.86 fof(f44,plain,(
% 3.91/0.86 ![X0,X1]: (r3(sk0_11(X0,X1),X1,sk0_8(X0,X1)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f40])).
% 3.91/0.86 fof(f45,plain,(
% 3.91/0.86 ![X0,X1]: (r4(X0,X1,sk0_11(X1,X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f40])).
% 3.91/0.86 fof(f47,plain,(
% 3.91/0.86 ![X4]: ((r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4)))&sk0_12(X4)=X4)),
% 3.91/0.86 inference(skolemization,[status(esa)],[f8])).
% 3.91/0.86 fof(f48,plain,(
% 3.91/0.86 ![X0]: (r1(sk0_13(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f47])).
% 3.91/0.86 fof(f49,plain,(
% 3.91/0.86 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f47])).
% 3.91/0.86 fof(f50,plain,(
% 3.91/0.86 ![X0]: (sk0_12(X0)=X0)),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f47])).
% 3.91/0.86 fof(f51,plain,(
% 3.91/0.86 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(r1(sk0_16(X5))&sk0_14(X5)=sk0_16(X5)))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f9])).
% 3.91/0.86 fof(f52,plain,(
% 3.91/0.86 ![X0]: (r1(sk0_15(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f51])).
% 3.91/0.86 fof(f53,plain,(
% 3.91/0.86 ![X0]: (r4(X0,sk0_15(X0),sk0_14(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f51])).
% 3.91/0.86 fof(f54,plain,(
% 3.91/0.86 ![X0]: (r1(sk0_16(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f51])).
% 3.91/0.86 fof(f55,plain,(
% 3.91/0.86 ![X0]: (sk0_14(X0)=sk0_16(X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f51])).
% 3.91/0.86 fof(f56,plain,(
% 3.91/0.86 ![X6,Y19]: (pd0_4(Y19,X6)=>(r1(Y19)&X6=Y19))),
% 3.91/0.86 introduced(predicate_definition,[f10])).
% 3.91/0.86 fof(f57,plain,(
% 3.91/0.86 ![X6]: ((?[Y19]: pd0_4(Y19,X6))|(?[Y1,Y11]: (r2(Y1,Y11)&X6=Y11)))),
% 3.91/0.86 inference(formula_renaming,[status(thm)],[f10,f56])).
% 3.91/0.86 fof(f58,plain,(
% 3.91/0.86 ![X6]: ((?[Y19]: pd0_4(Y19,X6))|(?[Y11]: ((?[Y1]: r2(Y1,Y11))&X6=Y11)))),
% 3.91/0.86 inference(miniscoping,[status(esa)],[f57])).
% 3.91/0.86 fof(f59,plain,(
% 3.91/0.86 ![X6]: (pd0_4(sk0_17(X6),X6)|(r2(sk0_19(X6),sk0_18(X6))&X6=sk0_18(X6)))),
% 3.91/0.86 inference(skolemization,[status(esa)],[f58])).
% 3.91/0.86 fof(f60,plain,(
% 3.91/0.86 ![X0]: (pd0_4(sk0_17(X0),X0)|r2(sk0_19(X0),sk0_18(X0)))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f59])).
% 3.91/0.86 fof(f61,plain,(
% 3.91/0.86 ![X0]: (pd0_4(sk0_17(X0),X0)|X0=sk0_18(X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f59])).
% 3.91/0.86 fof(f62,plain,(
% 3.91/0.86 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))),
% 3.91/0.86 inference(miniscoping,[status(esa)],[f11])).
% 3.91/0.86 fof(f63,plain,(
% 3.91/0.86 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f62])).
% 3.91/0.86 fof(f64,plain,(
% 3.91/0.86 (![Y1]: ((![Y2]: ((![Y4]: (~r2(Y4,Y2)|(![Y7]: (~r1(Y7)|~r2(Y7,Y4)))))|(![Y5]: (~r4(Y5,Y2,Y1)|(![Y8]: (~r1(Y8)|~r2(Y8,Y5)))))))|(![Y3]: (~Y1=Y3|(![Y6]: (~r2(Y6,Y3)|(![Y9]: (~r1(Y9)|~r2(Y9,Y6)))))))))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 3.91/0.86 fof(f65,plain,(
% 3.91/0.86 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X0)|~r4(X3,X1,X4)|~r1(X5)|~r2(X5,X3)|~X4=X6|~r2(X7,X6)|~r1(X8)|~r2(X8,X7))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f64])).
% 3.91/0.86 fof(f66,plain,(
% 3.91/0.86 ![Y24,X19]: (~pd0_0(X19,Y24)|(~r1(X19)&~X19=Y24))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.91/0.86 fof(f67,plain,(
% 3.91/0.86 ![X0,X1]: (~pd0_0(X0,X1)|~r1(X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f66])).
% 3.91/0.86 fof(f68,plain,(
% 3.91/0.86 ![X0,X1]: (~pd0_0(X0,X1)|~X0=X1)),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f66])).
% 3.91/0.86 fof(f69,plain,(
% 3.91/0.86 ![X11,Y21,X12]: (~pd0_1(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.91/0.86 fof(f70,plain,(
% 3.91/0.86 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~r2(X2,X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f69])).
% 3.91/0.86 fof(f71,plain,(
% 3.91/0.86 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~X0=X1)),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f69])).
% 3.91/0.86 fof(f72,plain,(
% 3.91/0.86 ![X13,X14,Y22,X15]: (~pd0_2(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 3.91/0.86 fof(f73,plain,(
% 3.91/0.86 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f72])).
% 3.91/0.86 fof(f75,plain,(
% 3.91/0.86 ![X16,X17,Y23,X18]: (~pd0_3(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~X18=Y23))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 3.91/0.86 fof(f76,plain,(
% 3.91/0.86 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2,X3)|~r4(X3,X2,X0))),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f75])).
% 3.91/0.86 fof(f78,plain,(
% 3.91/0.86 ![X6,Y19]: (~pd0_4(Y19,X6)|(r1(Y19)&X6=Y19))),
% 3.91/0.86 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 3.91/0.86 fof(f80,plain,(
% 3.91/0.86 ![X0,X1]: (~pd0_4(X0,X1)|X1=X0)),
% 3.91/0.86 inference(cnf_transformation,[status(esa)],[f78])).
% 3.91/0.86 fof(f82,plain,(
% 3.91/0.86 ![X0,X1]: (~r1(X0)|~r2(X1,X0))),
% 3.91/0.86 inference(destructive_equality_resolution,[status(esa)],[f63])).
% 3.91/0.86 fof(f83,plain,(
% 3.91/0.86 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X0)|~r4(X3,X1,X4)|~r1(X5)|~r2(X5,X3)|~r2(X6,X4)|~r1(X7)|~r2(X7,X6))),
% 3.91/0.86 inference(destructive_equality_resolution,[status(esa)],[f65])).
% 3.91/0.86 fof(f84,plain,(
% 3.91/0.86 ![X0]: (~pd0_0(X0,X0))),
% 3.91/0.86 inference(destructive_equality_resolution,[status(esa)],[f68])).
% 3.91/0.86 fof(f85,plain,(
% 3.91/0.86 ![X0,X1]: (~pd0_1(X0,X0,X1))),
% 3.91/0.86 inference(destructive_equality_resolution,[status(esa)],[f71])).
% 3.91/0.86 fof(f88,plain,(
% 3.91/0.86 ![X0,X1]: (r3(X0,sk0_6(X1,X0),sk0_4(X1,X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f37,f36])).
% 3.91/0.86 fof(f89,plain,(
% 3.91/0.86 ![X0,X1]: (r4(X0,sk0_10(X1,X0),sk0_8(X1,X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f43,f42])).
% 3.91/0.86 fof(f90,plain,(
% 3.91/0.86 ![X0]: (r3(X0,sk0_13(X0),X0))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f50,f49])).
% 3.91/0.86 fof(f91,plain,(
% 3.91/0.86 ![X0]: (r1(sk0_14(X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f55,f54])).
% 3.91/0.86 fof(f92,plain,(
% 3.91/0.86 r1(sk0_0)),
% 3.91/0.86 inference(resolution,[status(thm)],[f17,f84])).
% 3.91/0.86 fof(f97,plain,(
% 3.91/0.86 ![X0]: (~r1(X0)|X0=sk0_0)),
% 3.91/0.86 inference(resolution,[status(thm)],[f67,f18])).
% 3.91/0.86 fof(f103,plain,(
% 3.91/0.86 ![X0]: (r2(X0,sk0_1(X0)))),
% 3.91/0.86 inference(resolution,[status(thm)],[f22,f85])).
% 3.91/0.86 fof(f104,plain,(
% 3.91/0.86 ![X0,X1]: (X0=sk0_1(X1)|~r2(X1,X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f23,f70])).
% 3.91/0.86 fof(f109,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_10(X0,X1)=sk0_1(X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f104,f41])).
% 3.91/0.86 fof(f110,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_6(X0,X1)=sk0_1(X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f104,f35])).
% 3.91/0.86 fof(f114,plain,(
% 3.91/0.86 ![X0,X1]: (r4(X0,sk0_1(X1),sk0_8(X1,X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f109,f89])).
% 3.91/0.86 fof(f118,plain,(
% 3.91/0.86 ![X0,X1]: (r3(X0,sk0_1(X1),sk0_4(X1,X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f110,f88])).
% 3.91/0.86 fof(f119,plain,(
% 3.91/0.86 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sk0_1(X1))|~r1(X2)|~r2(X2,X0)|~r1(X3)|~r2(X3,X4)|~r2(X5,sk0_8(X1,X4))|~r1(X6)|~r2(X6,X5))),
% 3.91/0.86 inference(resolution,[status(thm)],[f114,f83])).
% 3.91/0.86 fof(f120,plain,(
% 3.91/0.86 ![X0]: (sk0_13(X0)=sk0_0)),
% 3.91/0.86 inference(resolution,[status(thm)],[f48,f97])).
% 3.91/0.86 fof(f122,plain,(
% 3.91/0.86 ![X0]: (r3(X0,sk0_0,X0))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f120,f90])).
% 3.91/0.86 fof(f123,plain,(
% 3.91/0.86 ![X0]: (sk0_15(X0)=sk0_0)),
% 3.91/0.86 inference(resolution,[status(thm)],[f52,f97])).
% 3.91/0.86 fof(f133,plain,(
% 3.91/0.86 ![X0]: (r4(X0,sk0_0,sk0_14(X0)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f123,f53])).
% 3.91/0.86 fof(f136,plain,(
% 3.91/0.86 ![X0]: (sk0_14(X0)=sk0_0)),
% 3.91/0.86 inference(resolution,[status(thm)],[f91,f97])).
% 3.91/0.86 fof(f138,plain,(
% 3.91/0.86 ![X0]: (r4(X0,sk0_0,sk0_0))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f136,f133])).
% 3.91/0.86 fof(f146,plain,(
% 3.91/0.86 ![X0,X1,X2]: (X0=sk0_2(X1,X2)|~r3(X2,X1,X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f28,f73])).
% 3.91/0.86 fof(f148,plain,(
% 3.91/0.86 ![X0,X1,X2]: (X0=sk0_3(X1,X2)|~r4(X2,X1,X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f33,f76])).
% 3.91/0.86 fof(f150,plain,(
% 3.91/0.86 ![X0]: (X0=sk0_2(sk0_0,X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f146,f122])).
% 3.91/0.86 fof(f151,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_7(X0,X1)=sk0_2(X0,X1))),
% 3.91/0.86 inference(resolution,[status(thm)],[f146,f39])).
% 3.91/0.86 fof(f154,plain,(
% 3.91/0.86 ![X0,X1]: (r2(sk0_2(X0,X1),sk0_4(X0,X1)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f151,f38])).
% 3.91/0.86 fof(f159,plain,(
% 3.91/0.86 ![X0]: (sk0_0=sk0_3(sk0_0,X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f148,f138])).
% 3.91/0.86 fof(f160,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_8(X0,X1)=sk0_3(sk0_1(X0),X1))),
% 3.91/0.86 inference(resolution,[status(thm)],[f148,f114])).
% 3.91/0.86 fof(f161,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_11(X0,X1)=sk0_3(X0,X1))),
% 3.91/0.86 inference(resolution,[status(thm)],[f148,f45])).
% 3.91/0.86 fof(f164,plain,(
% 3.91/0.86 ![X0,X1]: (r3(sk0_3(X0,X1),X1,sk0_8(X0,X1)))),
% 3.91/0.86 inference(backward_demodulation,[status(thm)],[f161,f44])).
% 3.91/0.86 fof(f174,plain,(
% 3.91/0.86 ![X0]: (r2(X0,sk0_4(sk0_0,X0)))),
% 3.91/0.86 inference(paramodulation,[status(thm)],[f150,f154])).
% 3.91/0.86 fof(f176,plain,(
% 3.91/0.86 ![X0]: (sk0_4(sk0_0,X0)=sk0_1(X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f174,f104])).
% 3.91/0.86 fof(f196,plain,(
% 3.91/0.86 ![X0]: (X0=sk0_17(X0)|X0=sk0_18(X0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f80,f61])).
% 3.91/0.86 fof(f201,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_4(X0,X1)=sk0_2(sk0_1(X0),X1))),
% 3.91/0.86 inference(resolution,[status(thm)],[f118,f146])).
% 3.91/0.86 fof(f323,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_8(X0,X1)=sk0_2(X1,sk0_3(X0,X1)))),
% 3.91/0.86 inference(resolution,[status(thm)],[f164,f146])).
% 3.91/0.86 fof(f325,plain,(
% 3.91/0.86 ![X0]: (r3(sk0_0,X0,sk0_8(sk0_0,X0)))),
% 3.91/0.86 inference(paramodulation,[status(thm)],[f159,f164])).
% 3.91/0.86 fof(f341,plain,(
% 3.91/0.86 ![X0]: (sk0_8(sk0_0,X0)=sk0_2(X0,sk0_0))),
% 3.91/0.86 inference(resolution,[status(thm)],[f325,f146])).
% 3.91/0.86 fof(f362,plain,(
% 3.91/0.86 ![X0,X1]: (sk0_8(sk0_1(X0),X1)=sk0_2(X1,sk0_8(X0,X1)))),
% 3.91/0.86 inference(paramodulation,[status(thm)],[f160,f323])).
% 3.91/0.86 fof(f515,plain,(
% 3.91/0.86 ![X0]: (sk0_8(sk0_1(sk0_0),X0)=sk0_2(X0,sk0_2(X0,sk0_0)))),
% 3.91/0.86 inference(paramodulation,[status(thm)],[f341,f362])).
% 3.91/0.86 fof(f852,plain,(
% 3.91/0.86 ![X0]: (sk0_8(sk0_1(sk0_0),sk0_1(X0))=sk0_4(X0,sk0_2(sk0_1(X0),sk0_0)))),
% 3.91/0.86 inference(paramodulation,[status(thm)],[f201,f515])).
% 3.91/0.86 fof(f853,plain,(
% 3.91/0.86 ![X0]: (sk0_8(sk0_1(sk0_0),sk0_1(X0))=sk0_4(X0,sk0_4(X0,sk0_0)))),
% 3.91/0.86 inference(forward_demodulation,[status(thm)],[f201,f852])).
% 3.91/0.86 fof(f1165,plain,(
% 3.91/0.86 spl0_8 <=> ~r1(X3)|~r2(X3,sk0_1(sk0_0))),
% 3.91/0.86 introduced(split_symbol_definition)).
% 3.91/0.86 fof(f1166,plain,(
% 3.91/0.86 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_8)),
% 3.91/0.86 inference(component_clause,[status(thm)],[f1165])).
% 3.91/0.86 fof(f1496,plain,(
% 3.91/0.86 spl0_9 <=> ~r2(X0,sk0_1(sk0_1(sk0_0)))|~r1(X1)|~r2(X1,X0)),
% 3.91/0.86 introduced(split_symbol_definition)).
% 3.91/0.86 fof(f1497,plain,(
% 3.91/0.86 ![X0,X1]: (~r2(X0,sk0_1(sk0_1(sk0_0)))|~r1(X1)|~r2(X1,X0)|~spl0_9)),
% 3.91/0.86 inference(component_clause,[status(thm)],[f1496])).
% 3.91/0.86 fof(f1499,plain,(
% 3.91/0.86 spl0_10 <=> ~r1(X2)|~r2(X2,sk0_1(X3))|~r2(X4,sk0_4(X3,sk0_4(X3,sk0_0)))|~r1(X5)|~r2(X5,X4)),
% 3.91/0.86 introduced(split_symbol_definition)).
% 3.91/0.86 fof(f1500,plain,(
% 3.91/0.86 ![X0,X1,X2,X3]: (~r1(X0)|~r2(X0,sk0_1(X1))|~r2(X2,sk0_4(X1,sk0_4(X1,sk0_0)))|~r1(X3)|~r2(X3,X2)|~spl0_10)),
% 3.91/0.86 inference(component_clause,[status(thm)],[f1499])).
% 3.91/0.87 fof(f1502,plain,(
% 3.91/0.87 ![X0,X1,X2,X3,X4,X5]: (~r2(X0,sk0_1(sk0_1(sk0_0)))|~r1(X1)|~r2(X1,X0)|~r1(X2)|~r2(X2,sk0_1(X3))|~r2(X4,sk0_4(X3,sk0_4(X3,sk0_0)))|~r1(X5)|~r2(X5,X4))),
% 3.91/0.87 inference(paramodulation,[status(thm)],[f853,f119])).
% 3.91/0.87 fof(f1503,plain,(
% 3.91/0.87 spl0_9|spl0_10),
% 3.91/0.87 inference(split_clause,[status(thm)],[f1502,f1496,f1499])).
% 3.91/0.87 fof(f1869,plain,(
% 3.91/0.87 ![X0]: (pd0_4(sk0_17(X0),X0)|~r1(sk0_18(X0)))),
% 3.91/0.87 inference(resolution,[status(thm)],[f60,f82])).
% 3.91/0.87 fof(f1877,plain,(
% 3.91/0.87 ![X0]: (pd0_4(sk0_17(X0),X0)|~r1(X0)|X0=sk0_17(X0))),
% 3.91/0.87 inference(paramodulation,[status(thm)],[f196,f1869])).
% 3.91/0.87 fof(f1878,plain,(
% 3.91/0.87 ![X0]: (~r1(X0)|X0=sk0_17(X0))),
% 3.91/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1877,f80])).
% 3.91/0.87 fof(f1893,plain,(
% 3.91/0.87 spl0_11 <=> sk0_0=sk0_17(sk0_0)),
% 3.91/0.87 introduced(split_symbol_definition)).
% 3.91/0.87 fof(f1895,plain,(
% 3.91/0.87 ~sk0_0=sk0_17(sk0_0)|spl0_11),
% 3.91/0.87 inference(component_clause,[status(thm)],[f1893])).
% 3.91/0.87 fof(f1912,plain,(
% 3.91/0.87 sk0_0=sk0_17(sk0_0)),
% 3.91/0.87 inference(resolution,[status(thm)],[f1878,f92])).
% 3.91/0.87 fof(f2206,plain,(
% 3.91/0.87 ![X0,X1,X2]: (~r1(X0)|~r2(X0,sk0_1(X1))|~r1(X2)|~r2(X2,sk0_2(X1,sk0_4(X1,sk0_0)))|~spl0_10)),
% 3.91/0.87 inference(resolution,[status(thm)],[f1500,f154])).
% 3.91/0.87 fof(f2244,plain,(
% 3.91/0.87 spl0_25 <=> ~r1(X1)|~r2(X1,sk0_2(sk0_0,sk0_1(sk0_0)))),
% 3.91/0.87 introduced(split_symbol_definition)).
% 3.91/0.87 fof(f2245,plain,(
% 3.91/0.87 ![X0]: (~r1(X0)|~r2(X0,sk0_2(sk0_0,sk0_1(sk0_0)))|~spl0_25)),
% 3.91/0.87 inference(component_clause,[status(thm)],[f2244])).
% 3.91/0.87 fof(f2247,plain,(
% 3.91/0.87 ![X0,X1]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~r1(X1)|~r2(X1,sk0_2(sk0_0,sk0_1(sk0_0)))|~spl0_10)),
% 3.91/0.87 inference(paramodulation,[status(thm)],[f176,f2206])).
% 3.91/0.87 fof(f2248,plain,(
% 3.91/0.87 spl0_8|spl0_25|~spl0_10),
% 3.91/0.87 inference(split_clause,[status(thm)],[f2247,f1165,f2244,f1499])).
% 3.91/0.87 fof(f2377,plain,(
% 3.91/0.87 ~r1(sk0_0)|~spl0_8),
% 3.91/0.87 inference(resolution,[status(thm)],[f1166,f103])).
% 3.91/0.87 fof(f2378,plain,(
% 3.91/0.87 $false|~spl0_8),
% 3.91/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2377,f92])).
% 3.91/0.87 fof(f2379,plain,(
% 3.91/0.87 ~spl0_8),
% 3.91/0.87 inference(contradiction_clause,[status(thm)],[f2378])).
% 3.91/0.87 fof(f2561,plain,(
% 3.91/0.87 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_25)),
% 3.91/0.87 inference(forward_demodulation,[status(thm)],[f150,f2245])).
% 3.91/0.87 fof(f2562,plain,(
% 3.91/0.87 spl0_8|~spl0_25),
% 3.91/0.87 inference(split_clause,[status(thm)],[f2561,f1165,f2244])).
% 3.91/0.87 fof(f2647,plain,(
% 3.91/0.87 ~sk0_0=sk0_0|spl0_11),
% 3.91/0.87 inference(forward_demodulation,[status(thm)],[f1912,f1895])).
% 3.91/0.87 fof(f2648,plain,(
% 3.91/0.87 $false|spl0_11),
% 3.91/0.87 inference(trivial_equality_resolution,[status(esa)],[f2647])).
% 3.91/0.87 fof(f2649,plain,(
% 3.91/0.87 spl0_11),
% 3.91/0.87 inference(contradiction_clause,[status(thm)],[f2648])).
% 3.91/0.87 fof(f2684,plain,(
% 3.91/0.87 ![X0]: (~r1(X0)|~r2(X0,sk0_1(sk0_0))|~spl0_9)),
% 3.91/0.87 inference(resolution,[status(thm)],[f1497,f103])).
% 3.91/0.87 fof(f2685,plain,(
% 3.91/0.87 spl0_8|~spl0_9),
% 3.91/0.87 inference(split_clause,[status(thm)],[f2684,f1165,f1496])).
% 3.91/0.87 fof(f2686,plain,(
% 3.91/0.87 $false),
% 3.91/0.87 inference(sat_refutation,[status(thm)],[f1503,f2248,f2379,f2562,f2649,f2685])).
% 3.91/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 3.91/0.87 % Elapsed time: 0.525206 seconds
% 3.91/0.87 % CPU time: 4.038523 seconds
% 3.91/0.87 % Memory used: 99.413 MB
%------------------------------------------------------------------------------