0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.10/0.30 % Computer : n006.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Tue Aug 9 02:01:14 EDT 2022 0.10/0.31 % CPUTime : 0.16/0.32 % Drodi V3.3.3 0.16/0.46 % Refutation found 0.16/0.46 % SZS status Theorem for theBenchmark: Theorem is valid 0.16/0.46 % SZS output start CNFRefutation for theBenchmark 0.16/0.46 fof(f1,axiom,( 0.16/0.46 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& Y21 != X12 )| ( Y21 = X12& r2(X11,X12) ) ) )))), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f2,axiom,( 0.16/0.46 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y2 = Y3 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f3,axiom,( 0.16/0.46 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f5,axiom,( 0.16/0.46 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f6,axiom,( 0.16/0.46 (! [X3,X10] :( X10 = X3| (! [Y12] :( (! [Y13] :( ~ r2(X3,Y13)| Y12 != Y13 ))| ~ r2(X10,Y12) ) )) )), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f8,axiom,( 0.16/0.46 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& Y22 = X15 ) ) )))), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f10,axiom,( 0.16/0.46 (? [Y24] :(! [X19] :( ( ~ r1(X19)& Y24 != X19 )| ( X19 = Y24& r1(X19) ) ) ))), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f12,conjecture,( 0.16/0.46 (? [Y1] :( (! [Y2] :( Y1 != Y2| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ) )))& (! [Y4] :( Y1 != Y4| ~ r1(Y4) ) )) )), 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 0.16/0.46 fof(f13,negated_conjecture,( 0.16/0.46 ~((? [Y1] :( (! [Y2] :( Y1 != Y2| (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ) )))& (! [Y4] :( Y1 != Y4| ~ r1(Y4) ) )) ))), 0.16/0.46 inference(negated_conjecture,[status(cth)],[f12])). 0.16/0.46 fof(f14,plain,( 0.16/0.46 ![X11,Y21,X12]: (pd0_0(X12,Y21,X11)=>(~r2(X11,X12)&~Y21=X12))), 0.16/0.46 introduced(predicate_definition,[f1])). 0.16/0.46 fof(f15,plain,( 0.16/0.46 ![X11]: ?[Y21]: ![X12]: (pd0_0(X12,Y21,X11)|(Y21=X12&r2(X11,X12)))), 0.16/0.46 inference(formula_renaming,[status(thm)],[f1,f14])). 0.16/0.46 fof(f16,plain,( 0.16/0.46 ![X11]: ![X12]: (pd0_0(X12,sk0_0(X11),X11)|(sk0_0(X11)=X12&r2(X11,X12)))), 0.16/0.46 inference(skolemization,[status(esa)],[f15])). 0.16/0.46 fof(f17,plain,( 0.16/0.46 ![X0,X1]: (pd0_0(X0,sk0_0(X1),X1)|sk0_0(X1)=X0)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f16])). 0.16/0.46 fof(f18,plain,( 0.16/0.46 ![X0,X1]: (pd0_0(X0,sk0_0(X1),X1)|r2(X1,X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f16])). 0.16/0.46 fof(f19,plain,( 0.16/0.46 ![X2,X9]: (((r2(X9,sk0_3(X9,X2))&r4(X2,sk0_3(X9,X2),sk0_2(X9,X2)))&sk0_1(X9,X2)=sk0_2(X9,X2))&(r3(sk0_4(X9,X2),X2,sk0_1(X9,X2))&r4(X2,X9,sk0_4(X9,X2))))), 0.16/0.46 inference(skolemization,[status(esa)],[f2])). 0.16/0.46 fof(f23,plain,( 0.16/0.46 ![X0,X1]: (r3(sk0_4(X0,X1),X1,sk0_1(X0,X1)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f19])). 0.16/0.46 fof(f25,plain,( 0.16/0.46 ![X1,X8]: (((r2(X8,sk0_7(X8,X1))&r3(X1,sk0_7(X8,X1),sk0_6(X8,X1)))&sk0_6(X8,X1)=sk0_5(X8,X1))&(r2(sk0_8(X8,X1),sk0_5(X8,X1))&r3(X1,X8,sk0_8(X8,X1))))), 0.16/0.46 inference(skolemization,[status(esa)],[f3])). 0.16/0.46 fof(f26,plain,( 0.16/0.46 ![X0,X1]: (r2(X0,sk0_7(X0,X1)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])). 0.16/0.46 fof(f27,plain,( 0.16/0.46 ![X0,X1]: (r3(X0,sk0_7(X1,X0),sk0_6(X1,X0)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])). 0.16/0.46 fof(f28,plain,( 0.16/0.46 ![X0,X1]: (sk0_6(X0,X1)=sk0_5(X0,X1))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])). 0.16/0.46 fof(f29,plain,( 0.16/0.46 ![X0,X1]: (r2(sk0_8(X0,X1),sk0_5(X0,X1)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])). 0.16/0.46 fof(f30,plain,( 0.16/0.46 ![X0,X1]: (r3(X0,X1,sk0_8(X1,X0)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])). 0.16/0.46 fof(f36,plain,( 0.16/0.46 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))), 0.16/0.46 inference(miniscoping,[status(esa)],[f5])). 0.16/0.46 fof(f37,plain,( 0.16/0.46 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f36])). 0.16/0.46 fof(f38,plain,( 0.16/0.46 ![X0,X1,X2,X3]: (X0=X1|~r2(X1,X2)|~X3=X2|~r2(X0,X3))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f6])). 0.16/0.46 fof(f44,plain,( 0.16/0.46 ![X13,X14,Y22,X15]: (pd0_3(X15,Y22,X14,X13)=>(~r3(X13,X14,X15)&~X15=Y22))), 0.16/0.46 introduced(predicate_definition,[f8])). 0.16/0.46 fof(f45,plain,( 0.16/0.46 ![X13,X14]: ?[Y22]: ![X15]: (pd0_3(X15,Y22,X14,X13)|(r3(X13,X14,X15)&Y22=X15))), 0.16/0.46 inference(formula_renaming,[status(thm)],[f8,f44])). 0.16/0.46 fof(f46,plain,( 0.16/0.46 ![X13,X14]: ![X15]: (pd0_3(X15,sk0_13(X14,X13),X14,X13)|(r3(X13,X14,X15)&sk0_13(X14,X13)=X15))), 0.16/0.46 inference(skolemization,[status(esa)],[f45])). 0.16/0.46 fof(f48,plain,( 0.16/0.46 ![X0,X1,X2]: (pd0_3(X0,sk0_13(X1,X2),X1,X2)|sk0_13(X1,X2)=X0)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f46])). 0.16/0.46 fof(f54,plain,( 0.16/0.46 ![Y24,X19]: (pd0_4(X19,Y24)=>(~r1(X19)&~Y24=X19))), 0.16/0.46 introduced(predicate_definition,[f10])). 0.16/0.46 fof(f55,plain,( 0.16/0.46 ?[Y24]: ![X19]: (pd0_4(X19,Y24)|(X19=Y24&r1(X19)))), 0.16/0.46 inference(formula_renaming,[status(thm)],[f10,f54])). 0.16/0.46 fof(f56,plain,( 0.16/0.46 ![X19]: (pd0_4(X19,sk0_17)|(X19=sk0_17&r1(X19)))), 0.16/0.46 inference(skolemization,[status(esa)],[f55])). 0.16/0.46 fof(f57,plain,( 0.16/0.46 ![X0]: (pd0_4(X0,sk0_17)|X0=sk0_17)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f56])). 0.16/0.46 fof(f58,plain,( 0.16/0.46 ![X0]: (pd0_4(X0,sk0_17)|r1(X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f56])). 0.16/0.46 fof(f63,plain,( 0.16/0.46 (![Y1]: ((?[Y2]: (Y1=Y2&(?[Y3]: (r1(Y3)&r2(Y3,Y2)))))|(?[Y4]: (Y1=Y4&r1(Y4)))))), 0.16/0.46 inference(pre_NNF_transformation,[status(esa)],[f13])). 0.16/0.46 fof(f64,plain,( 0.16/0.46 ![Y1,Y2]: (pd0_5(Y2,Y1)=>(Y1=Y2&(?[Y3]: (r1(Y3)&r2(Y3,Y2)))))), 0.16/0.46 introduced(predicate_definition,[f63])). 0.16/0.46 fof(f65,plain,( 0.16/0.46 ![Y1]: ((?[Y2]: pd0_5(Y2,Y1))|(?[Y4]: (Y1=Y4&r1(Y4))))), 0.16/0.46 inference(formula_renaming,[status(thm)],[f63,f64])). 0.16/0.46 fof(f66,plain,( 0.16/0.46 ![Y1]: (pd0_5(sk0_20(Y1),Y1)|(Y1=sk0_21(Y1)&r1(sk0_21(Y1))))), 0.16/0.46 inference(skolemization,[status(esa)],[f65])). 0.16/0.46 fof(f67,plain,( 0.16/0.46 ![X0]: (pd0_5(sk0_20(X0),X0)|X0=sk0_21(X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f66])). 0.16/0.46 fof(f68,plain,( 0.16/0.46 ![X0]: (pd0_5(sk0_20(X0),X0)|r1(sk0_21(X0)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f66])). 0.16/0.46 fof(f69,plain,( 0.16/0.46 ![X11,Y21,X12]: (~pd0_0(X12,Y21,X11)|(~r2(X11,X12)&~Y21=X12))), 0.16/0.46 inference(pre_NNF_transformation,[status(esa)],[f14])). 0.16/0.46 fof(f70,plain,( 0.16/0.46 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~r2(X2,X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f69])). 0.16/0.46 fof(f71,plain,( 0.16/0.46 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~X1=X0)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f69])). 0.16/0.46 fof(f78,plain,( 0.16/0.46 ![X13,X14,Y22,X15]: (~pd0_3(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))), 0.16/0.46 inference(pre_NNF_transformation,[status(esa)],[f44])). 0.16/0.46 fof(f79,plain,( 0.16/0.46 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2,X3)|~r3(X3,X2,X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f78])). 0.16/0.46 fof(f81,plain,( 0.16/0.46 ![Y24,X19]: (~pd0_4(X19,Y24)|(~r1(X19)&~Y24=X19))), 0.16/0.46 inference(pre_NNF_transformation,[status(esa)],[f54])). 0.16/0.46 fof(f82,plain,( 0.16/0.46 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f81])). 0.16/0.46 fof(f83,plain,( 0.16/0.46 ![X0,X1]: (~pd0_4(X0,X1)|~X1=X0)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f81])). 0.16/0.46 fof(f84,plain,( 0.16/0.46 ![Y1,Y2]: (~pd0_5(Y2,Y1)|(Y1=Y2&(?[Y3]: (r1(Y3)&r2(Y3,Y2)))))), 0.16/0.46 inference(pre_NNF_transformation,[status(esa)],[f64])). 0.16/0.46 fof(f85,plain,( 0.16/0.46 ![Y1,Y2]: (~pd0_5(Y2,Y1)|(Y1=Y2&(r1(sk0_22(Y2,Y1))&r2(sk0_22(Y2,Y1),Y2))))), 0.16/0.46 inference(skolemization,[status(esa)],[f84])). 0.16/0.46 fof(f86,plain,( 0.16/0.46 ![X0,X1]: (~pd0_5(X0,X1)|X1=X0)), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f85])). 0.16/0.46 fof(f87,plain,( 0.16/0.46 ![X0,X1]: (~pd0_5(X0,X1)|r1(sk0_22(X0,X1)))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f85])). 0.16/0.46 fof(f88,plain,( 0.16/0.46 ![X0,X1]: (~pd0_5(X0,X1)|r2(sk0_22(X0,X1),X0))), 0.16/0.46 inference(cnf_transformation,[status(esa)],[f85])). 0.16/0.46 fof(f89,plain,( 0.16/0.46 ![X0,X1]: (~r1(X0)|~r2(X1,X0))), 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f37])). 0.16/0.46 fof(f90,plain,( 0.16/0.46 ![X0,X1,X2]: (X0=X1|~r2(X1,X2)|~r2(X0,X2))), 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f38])). 0.16/0.46 fof(f91,plain,( 0.16/0.46 ![X0,X1]: (~pd0_0(X0,X0,X1))), 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f71])). 0.16/0.46 fof(f94,plain,( 0.16/0.46 ![X0]: (~pd0_4(X0,X0))), 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f83])). 0.16/0.46 fof(f95,plain,( 0.16/0.46 ![X0]: (X0=sk0_21(X0)|X0=sk0_20(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f67,f86])). 0.16/0.46 fof(f96,plain,( 0.16/0.46 ![X0]: (r2(sk0_22(sk0_20(X0),X0),sk0_20(X0))|X0=sk0_21(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f88,f67])). 0.16/0.46 fof(f97,plain,( 0.16/0.46 ![X0]: (r1(sk0_21(X0))|r2(sk0_22(sk0_20(X0),X0),sk0_20(X0)))), 0.16/0.46 inference(resolution,[status(thm)],[f68,f88])). 0.16/0.46 fof(f98,plain,( 0.16/0.46 ![X0]: (r1(sk0_21(X0))|X0=sk0_20(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f68,f86])). 0.16/0.46 fof(f101,plain,( 0.16/0.46 ![X0]: (r1(sk0_22(sk0_20(X0),X0))|r1(sk0_21(X0)))), 0.16/0.46 inference(resolution,[status(thm)],[f87,f68])). 0.16/0.46 fof(f102,plain,( 0.16/0.46 ![X0]: (r1(sk0_22(sk0_20(X0),X0))|X0=sk0_21(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f87,f67])). 0.16/0.46 fof(f103,plain,( 0.16/0.46 ![X0,X1]: (sk0_0(X0)=X1|~r2(X0,X1))), 0.16/0.46 inference(resolution,[status(thm)],[f17,f70])). 0.16/0.46 fof(f104,plain,( 0.16/0.46 ![X0]: (r2(X0,sk0_0(X0)))), 0.16/0.46 inference(resolution,[status(thm)],[f18,f91])). 0.16/0.46 fof(f113,plain,( 0.16/0.46 ![X0,X1]: (X0=X1|~r2(X1,sk0_0(X0)))), 0.16/0.46 inference(resolution,[status(thm)],[f104,f90])). 0.16/0.46 fof(f115,plain,( 0.16/0.46 ![X0]: (~r1(sk0_0(X0)))), 0.16/0.46 inference(resolution,[status(thm)],[f104,f89])). 0.16/0.46 fof(f116,plain,( 0.16/0.46 ![X0,X1]: (r3(X0,sk0_7(X1,X0),sk0_5(X1,X0)))), 0.16/0.46 inference(forward_demodulation,[status(thm)],[f28,f27])). 0.16/0.46 fof(f119,plain,( 0.16/0.46 ![X0,X1]: (~r1(sk0_5(X0,X1)))), 0.16/0.46 inference(resolution,[status(thm)],[f29,f89])). 0.16/0.46 fof(f130,plain,( 0.16/0.46 ![X0,X1,X2]: (sk0_13(X0,X1)=X2|~r3(X1,X0,X2))), 0.16/0.46 inference(resolution,[status(thm)],[f48,f79])). 0.16/0.46 fof(f131,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|~r1(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f57,f82])). 0.16/0.46 fof(f135,plain,( 0.16/0.46 ![X0]: (sk0_21(X0)=sk0_17|X0=sk0_20(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f131,f98])). 0.16/0.46 fof(f137,plain,( 0.16/0.46 r1(sk0_17)), 0.16/0.46 inference(resolution,[status(thm)],[f58,f94])). 0.16/0.46 fof(f141,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|X0=sk0_20(X0)|X0=sk0_20(X0))), 0.16/0.46 inference(paramodulation,[status(thm)],[f95,f135])). 0.16/0.46 fof(f142,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|X0=sk0_20(X0))), 0.16/0.46 inference(duplicate_literals_removal,[status(esa)],[f141])). 0.16/0.46 fof(f143,plain,( 0.16/0.46 spl0_0 <=> r1(sk0_17)), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f207,plain,( 0.16/0.46 ![X0,X1]: (sk0_0(sk0_8(X0,X1))=sk0_5(X0,X1))), 0.16/0.46 inference(resolution,[status(thm)],[f103,f29])). 0.16/0.46 fof(f208,plain,( 0.16/0.46 ![X0,X1]: (sk0_0(X0)=sk0_7(X0,X1))), 0.16/0.46 inference(resolution,[status(thm)],[f103,f26])). 0.16/0.46 fof(f213,plain,( 0.16/0.46 ![X0,X1]: (r3(X0,sk0_0(X1),sk0_5(X1,X0)))), 0.16/0.46 inference(backward_demodulation,[status(thm)],[f208,f116])). 0.16/0.46 fof(f241,plain,( 0.16/0.46 ![X0]: (X0=sk0_21(X0)|sk0_22(sk0_20(X0),X0)=sk0_17)), 0.16/0.46 inference(resolution,[status(thm)],[f102,f131])). 0.16/0.46 fof(f247,plain,( 0.16/0.46 ![X0]: (r1(sk0_21(X0))|sk0_22(sk0_20(X0),X0)=sk0_17)), 0.16/0.46 inference(resolution,[status(thm)],[f101,f131])). 0.16/0.46 fof(f276,plain,( 0.16/0.46 spl0_3 <=> X0=sk0_21(X0)|X0=sk0_21(X0)), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f277,plain,( 0.16/0.46 ![X0]: (X0=sk0_21(X0)|X0=sk0_21(X0)|~spl0_3)), 0.16/0.46 inference(component_clause,[status(thm)],[f276])). 0.16/0.46 fof(f279,plain,( 0.16/0.46 ![X0]: (r1(sk0_17)|X0=sk0_21(X0)|X0=sk0_21(X0))), 0.16/0.46 inference(paramodulation,[status(thm)],[f241,f102])). 0.16/0.46 fof(f280,plain,( 0.16/0.46 spl0_0|spl0_3), 0.16/0.46 inference(split_clause,[status(thm)],[f279,f143,f276])). 0.16/0.46 fof(f282,plain,( 0.16/0.46 ![X0]: (r2(sk0_17,sk0_20(X0))|X0=sk0_21(X0)|X0=sk0_21(X0))), 0.16/0.46 inference(paramodulation,[status(thm)],[f241,f96])). 0.16/0.46 fof(f283,plain,( 0.16/0.46 ![X0]: (r2(sk0_17,sk0_20(X0))|X0=sk0_21(X0))), 0.16/0.46 inference(duplicate_literals_removal,[status(esa)],[f282])). 0.16/0.46 fof(f284,plain,( 0.16/0.46 ![X0]: (X0=sk0_21(X0)|sk0_0(sk0_17)=sk0_20(X0))), 0.16/0.46 inference(resolution,[status(thm)],[f283,f103])). 0.16/0.46 fof(f306,plain,( 0.16/0.46 ![X0,X1]: (sk0_13(X0,sk0_4(X1,X0))=sk0_1(X1,X0))), 0.16/0.46 inference(resolution,[status(thm)],[f130,f23])). 0.16/0.46 fof(f308,plain,( 0.16/0.46 ![X0,X1]: (sk0_13(X0,X1)=sk0_8(X0,X1))), 0.16/0.46 inference(resolution,[status(thm)],[f130,f30])). 0.16/0.46 fof(f323,plain,( 0.16/0.46 ![X0,X1,X2]: (sk0_8(X0,X1)=X2|~r3(X1,X0,X2))), 0.16/0.46 inference(backward_demodulation,[status(thm)],[f308,f130])). 0.16/0.46 fof(f338,plain,( 0.16/0.46 ![X0,X1]: (sk0_8(X0,sk0_4(X1,X0))=sk0_1(X1,X0))), 0.16/0.46 inference(forward_demodulation,[status(thm)],[f308,f306])). 0.16/0.46 fof(f366,plain,( 0.16/0.46 ![X0,X1]: (sk0_8(sk0_0(X0),X1)=sk0_5(X0,X1))), 0.16/0.46 inference(resolution,[status(thm)],[f213,f323])). 0.16/0.46 fof(f369,plain,( 0.16/0.46 ![X0,X1]: (sk0_1(X0,sk0_0(X1))=sk0_5(X1,sk0_4(X0,sk0_0(X1))))), 0.16/0.46 inference(paramodulation,[status(thm)],[f338,f366])). 0.16/0.46 fof(f382,plain,( 0.16/0.46 spl0_6 <=> X0=sk0_17|X0=sk0_17), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f383,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|X0=sk0_17|~spl0_6)), 0.16/0.46 inference(component_clause,[status(thm)],[f382])). 0.16/0.46 fof(f552,plain,( 0.16/0.46 ![X0]: (X0=sk0_21(X0)|~spl0_3)), 0.16/0.46 inference(duplicate_literals_removal,[status(esa)],[f277])). 0.16/0.46 fof(f555,plain,( 0.16/0.46 ![X0]: (pd0_5(sk0_20(X0),X0)|r1(X0)|~spl0_3)), 0.16/0.46 inference(backward_demodulation,[status(thm)],[f552,f68])). 0.16/0.46 fof(f563,plain,( 0.16/0.46 ![X0]: (pd0_5(X0,X0)|r1(X0)|X0=sk0_17|~spl0_3)), 0.16/0.46 inference(paramodulation,[status(thm)],[f142,f555])). 0.16/0.46 fof(f564,plain,( 0.16/0.46 ![X0]: (pd0_5(X0,X0)|X0=sk0_17|~spl0_3)), 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f563,f131])). 0.16/0.46 fof(f565,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|r1(sk0_22(X0,X0))|~spl0_3)), 0.16/0.46 inference(resolution,[status(thm)],[f564,f87])). 0.16/0.46 fof(f587,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|sk0_22(X0,X0)=sk0_17|~spl0_3)), 0.16/0.46 inference(resolution,[status(thm)],[f565,f131])). 0.16/0.46 fof(f588,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|r1(sk0_17)|X0=sk0_17|~spl0_3)), 0.16/0.46 inference(paramodulation,[status(thm)],[f587,f565])). 0.16/0.46 fof(f589,plain,( 0.16/0.46 spl0_6|spl0_0|~spl0_3), 0.16/0.46 inference(split_clause,[status(thm)],[f588,f382,f143,f276])). 0.16/0.46 fof(f635,plain,( 0.16/0.46 spl0_10 <=> sk0_0(sk0_17)=sk0_17), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f636,plain,( 0.16/0.46 sk0_0(sk0_17)=sk0_17|~spl0_10), 0.16/0.46 inference(component_clause,[status(thm)],[f635])). 0.16/0.46 fof(f638,plain,( 0.16/0.46 spl0_11 <=> X0=sk0_17), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f639,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|~spl0_11)), 0.16/0.46 inference(component_clause,[status(thm)],[f638])). 0.16/0.46 fof(f1063,plain,( 0.16/0.46 ![X0,X1]: (~r1(sk0_1(X0,sk0_0(X1))))), 0.16/0.46 inference(paramodulation,[status(thm)],[f369,f119])). 0.16/0.46 fof(f1070,plain,( 0.16/0.46 ![X0,X1,X2]: (~r1(sk0_1(X0,sk0_5(X1,X2))))), 0.16/0.46 inference(paramodulation,[status(thm)],[f207,f1063])). 0.16/0.46 fof(f1075,plain,( 0.16/0.46 ![X0,X1,X2]: (~r1(sk0_1(X0,sk0_1(X1,sk0_0(X2)))))), 0.16/0.46 inference(paramodulation,[status(thm)],[f369,f1070])). 0.16/0.46 fof(f1082,plain,( 0.16/0.46 ![X0,X1,X2,X3]: (~r1(sk0_1(X0,sk0_1(X1,sk0_5(X2,X3)))))), 0.16/0.46 inference(paramodulation,[status(thm)],[f207,f1075])). 0.16/0.46 fof(f1217,plain,( 0.16/0.46 ![X0]: (X0=sk0_17|~spl0_6)), 0.16/0.46 inference(duplicate_literals_removal,[status(esa)],[f383])). 0.16/0.46 fof(f1243,plain,( 0.16/0.46 ![X0]: (r1(X0)|~spl0_6)), 0.16/0.46 inference(paramodulation,[status(thm)],[f1217,f137])). 0.16/0.46 fof(f1292,plain,( 0.16/0.46 $false|~spl0_6), 0.16/0.46 inference(backward_subsumption_resolution,[status(thm)],[f1082,f1243])). 0.16/0.46 fof(f1293,plain,( 0.16/0.46 ~spl0_6), 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1292])). 0.16/0.46 fof(f1297,plain,( 0.16/0.46 ![X0,X1]: (X0=X1|~spl0_11)), 0.16/0.46 inference(paramodulation,[status(thm)],[f639,f639])). 0.16/0.46 fof(f1309,plain,( 0.16/0.46 ![X0]: (r1(X0)|~spl0_11)), 0.16/0.46 inference(paramodulation,[status(thm)],[f1297,f137])). 0.16/0.46 fof(f1312,plain,( 0.16/0.46 ![X0,X1]: (~r2(X0,X1)|~spl0_11)), 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f89,f1309])). 0.16/0.46 fof(f1316,plain,( 0.16/0.46 $false|~spl0_11), 0.16/0.46 inference(backward_subsumption_resolution,[status(thm)],[f29,f1312])). 0.16/0.46 fof(f1317,plain,( 0.16/0.46 ~spl0_11), 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1316])). 0.16/0.46 fof(f2058,plain,( 0.16/0.46 ![X0]: (sk0_22(sk0_20(X0),X0)=sk0_17|sk0_21(X0)=sk0_17)), 0.16/0.46 inference(resolution,[status(thm)],[f247,f131])). 0.16/0.46 fof(f2252,plain,( 0.16/0.46 spl0_21 <=> ~X0=X0|sk0_17=X0), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f2253,plain,( 0.16/0.46 ![X0]: (~X0=X0|sk0_17=X0|~spl0_21)), 0.16/0.46 inference(component_clause,[status(thm)],[f2252])). 0.16/0.46 fof(f2280,plain,( 0.16/0.46 ![X0]: (sk0_17=X0|~spl0_21)), 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f2253])). 0.16/0.46 fof(f2292,plain,( 0.16/0.46 ![X0]: (r1(X0)|~spl0_21)), 0.16/0.46 inference(paramodulation,[status(thm)],[f2280,f137])). 0.16/0.46 fof(f2313,plain,( 0.16/0.46 $false|~spl0_21), 0.16/0.46 inference(backward_subsumption_resolution,[status(thm)],[f1082,f2292])). 0.16/0.46 fof(f2314,plain,( 0.16/0.46 ~spl0_21), 0.16/0.46 inference(contradiction_clause,[status(thm)],[f2313])). 0.16/0.46 fof(f3307,plain,( 0.16/0.46 spl0_36 <=> ~r1(X1)), 0.16/0.46 introduced(split_symbol_definition)). 0.16/0.46 fof(f3308,plain,( 0.16/0.46 ![X0]: (~r1(X0)|~spl0_36)), 0.16/0.46 inference(component_clause,[status(thm)],[f3307])). 0.16/0.46 fof(f3322,plain,( 0.16/0.46 $false|~spl0_36), 0.16/0.46 inference(backward_subsumption_resolution,[status(thm)],[f137,f3308])). 0.16/0.46 fof(f3323,plain,( 0.16/0.46 ~spl0_36), 0.16/0.46 inference(contradiction_clause,[status(thm)],[f3322])). 0.16/0.49 fof(f4676,plain,( 0.16/0.49 ![X0]: (r1(sk0_21(X0))|r2(sk0_17,sk0_20(X0))|sk0_21(X0)=sk0_17)), 0.16/0.49 inference(paramodulation,[status(thm)],[f2058,f97])). 0.16/0.49 fof(f4677,plain,( 0.16/0.49 ![X0]: (r2(sk0_17,sk0_20(X0))|sk0_21(X0)=sk0_17)), 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f4676,f131])). 0.16/0.49 fof(f4939,plain,( 0.16/0.49 spl0_60 <=> sk0_0(X0)=sk0_17), 0.16/0.49 introduced(split_symbol_definition)). 0.16/0.49 fof(f4940,plain,( 0.16/0.49 ![X0]: (sk0_0(X0)=sk0_17|~spl0_60)), 0.16/0.49 inference(component_clause,[status(thm)],[f4939])). 0.16/0.49 fof(f4970,plain,( 0.16/0.49 ~r1(sk0_17)|~spl0_60), 0.16/0.49 inference(backward_demodulation,[status(thm)],[f4940,f115])). 0.16/0.49 fof(f4971,plain,( 0.16/0.49 $false|~spl0_60), 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f4970,f137])). 0.16/0.49 fof(f4972,plain,( 0.16/0.49 ~spl0_60), 0.16/0.49 inference(contradiction_clause,[status(thm)],[f4971])). 0.16/0.49 fof(f5883,plain,( 0.16/0.49 ~r1(sk0_17)|~spl0_10), 0.16/0.49 inference(paramodulation,[status(thm)],[f636,f115])). 0.16/0.49 fof(f5884,plain,( 0.16/0.49 $false|~spl0_10), 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f5883,f137])). 0.16/0.49 fof(f5885,plain,( 0.16/0.49 ~spl0_10), 0.16/0.49 inference(contradiction_clause,[status(thm)],[f5884])). 0.16/0.49 fof(f6387,plain,( 0.16/0.49 ![X0]: (sk0_21(X0)=sk0_17|sk0_0(sk0_17)=sk0_20(X0))), 0.16/0.49 inference(resolution,[status(thm)],[f4677,f103])). 0.16/0.49 fof(f6424,plain,( 0.16/0.49 ![X0]: (X0=sk0_17|sk0_0(sk0_17)=sk0_20(X0)|sk0_0(sk0_17)=sk0_20(X0))), 0.16/0.49 inference(paramodulation,[status(thm)],[f284,f6387])). 0.16/0.49 fof(f6425,plain,( 0.16/0.49 ![X0]: (X0=sk0_17|sk0_0(sk0_17)=sk0_20(X0))), 0.16/0.49 inference(duplicate_literals_removal,[status(esa)],[f6424])). 0.16/0.49 fof(f6467,plain,( 0.16/0.49 ![X0]: (X0=sk0_17|sk0_0(sk0_17)=X0|X0=sk0_17)), 0.16/0.49 inference(paramodulation,[status(thm)],[f142,f6425])). 0.16/0.49 fof(f6468,plain,( 0.16/0.49 ![X0]: (X0=sk0_17|sk0_0(sk0_17)=X0)), 0.16/0.49 inference(duplicate_literals_removal,[status(esa)],[f6467])). 0.16/0.49 fof(f6614,plain,( 0.16/0.49 ![X0,X1]: (sk0_17=X0|~r2(X0,X1)|X1=sk0_17)), 0.16/0.49 inference(paramodulation,[status(thm)],[f6468,f113])). 0.16/0.49 fof(f6654,plain,( 0.16/0.49 ![X0]: (sk0_17=X0|sk0_0(X0)=sk0_17)), 0.16/0.49 inference(resolution,[status(thm)],[f6614,f104])). 0.16/0.49 fof(f7379,plain,( 0.16/0.49 ![X0]: (~r1(sk0_17)|sk0_17=X0)), 0.16/0.49 inference(paramodulation,[status(thm)],[f6654,f115])). 0.16/0.49 fof(f7380,plain,( 0.16/0.49 ~spl0_0|spl0_11), 0.16/0.49 inference(split_clause,[status(thm)],[f7379,f143,f638])). 0.16/0.49 fof(f7383,plain,( 0.16/0.49 $false), 0.16/0.49 inference(sat_refutation,[status(thm)],[f280,f589,f1293,f1317,f2314,f3323,f4972,f5885,f7380])). 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p 0.16/0.49 % Elapsed time: 0.178631 seconds 0.16/0.49 % CPU time: 0.308026 seconds 0.16/0.49 % Memory used: 79.247 MB 0.16/0.49 EOF