0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.14/0.35 % Computer : n021.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 01:59:50 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.36 % Drodi V3.3.3 0.21/0.55 % Refutation found 0.21/0.55 % SZS status Theorem for theBenchmark: Theorem is valid 0.21/0.55 % SZS output start CNFRefutation for theBenchmark 0.21/0.55 fof(f1,axiom,( 0.21/0.55 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& Y21 != X12 )| ( Y21 = X12& r2(X11,X12) ) ) )))), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f3,axiom,( 0.21/0.55 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f5,axiom,( 0.21/0.55 (! [X7,Y10] :( (! [Y20] :( ~ r1(Y20)| Y20 != Y10 ))| ~ r2(X7,Y10) ) )), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f6,axiom,( 0.21/0.55 (! [X3,X10] :( X10 = X3| (! [Y12] :( (! [Y13] :( ~ r2(X3,Y13)| Y12 != Y13 ))| ~ r2(X10,Y12) ) )) )), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f8,axiom,( 0.21/0.55 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& Y22 = X15 ) ) )))), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f10,axiom,( 0.21/0.55 (? [Y24] :(! [X19] :( ( ~ r1(X19)& Y24 != X19 )| ( X19 = Y24& r1(X19) ) ) ))), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f11,axiom,( 0.21/0.55 (! [X4] :(? [Y9] :( Y9 = X4& (? [Y16] :( r3(X4,Y16,Y9)& r1(Y16) ) )) ))), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f12,conjecture,( 0.21/0.55 (? [Y1] :( (! [Y5] :( ~ r1(Y5)| Y5 != Y1 ))& (! [Y2] :( (! [Y3] :( ~ r2(Y3,Y2)| (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ) )))| Y1 != Y2 ) )) )), 0.21/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.21/0.55 fof(f13,negated_conjecture,( 0.21/0.55 ~((? [Y1] :( (! [Y5] :( ~ r1(Y5)| Y5 != Y1 ))& (! [Y2] :( (! [Y3] :( ~ r2(Y3,Y2)| (! [Y4] :( ~ r1(Y4)| ~ r2(Y4,Y3) ) )))| Y1 != Y2 ) )) ))), 0.21/0.55 inference(negated_conjecture,[status(cth)],[f12])). 0.21/0.55 fof(f14,plain,( 0.21/0.55 ![X11,Y21,X12]: (pd0_0(X12,Y21,X11)=>(~r2(X11,X12)&~Y21=X12))), 0.21/0.55 introduced(predicate_definition,[f1])). 0.21/0.55 fof(f15,plain,( 0.21/0.55 ![X11]: ?[Y21]: ![X12]: (pd0_0(X12,Y21,X11)|(Y21=X12&r2(X11,X12)))), 0.21/0.55 inference(formula_renaming,[status(thm)],[f1,f14])). 0.21/0.55 fof(f16,plain,( 0.21/0.55 ![X11]: ![X12]: (pd0_0(X12,sk0_0(X11),X11)|(sk0_0(X11)=X12&r2(X11,X12)))), 0.21/0.55 inference(skolemization,[status(esa)],[f15])). 0.21/0.55 fof(f17,plain,( 0.21/0.55 ![X0,X1]: (pd0_0(X0,sk0_0(X1),X1)|sk0_0(X1)=X0)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f16])). 0.21/0.55 fof(f18,plain,( 0.21/0.55 ![X0,X1]: (pd0_0(X0,sk0_0(X1),X1)|r2(X1,X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f16])). 0.21/0.55 fof(f25,plain,( 0.21/0.55 ![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))))), 0.21/0.55 inference(skolemization,[status(esa)],[f3])). 0.21/0.55 fof(f26,plain,( 0.21/0.55 ![X0,X1]: (r2(X0,sk0_7(X0,X1)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f25])). 0.21/0.55 fof(f27,plain,( 0.21/0.55 ![X0,X1]: (r3(X0,sk0_7(X1,X0),sk0_6(X1,X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f25])). 0.21/0.55 fof(f28,plain,( 0.21/0.55 ![X0,X1]: (sk0_6(X0,X1)=sk0_5(X0,X1))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f25])). 0.21/0.55 fof(f29,plain,( 0.21/0.55 ![X0,X1]: (r2(sk0_8(X0,X1),sk0_5(X0,X1)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f25])). 0.21/0.55 fof(f30,plain,( 0.21/0.55 ![X0,X1]: (r3(X0,X1,sk0_8(X1,X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f25])). 0.21/0.55 fof(f36,plain,( 0.21/0.55 ![Y10]: ((![Y20]: (~r1(Y20)|~Y20=Y10))|(![X7]: ~r2(X7,Y10)))), 0.21/0.55 inference(miniscoping,[status(esa)],[f5])). 0.21/0.55 fof(f37,plain,( 0.21/0.55 ![X0,X1,X2]: (~r1(X0)|~X0=X1|~r2(X2,X1))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f36])). 0.21/0.55 fof(f38,plain,( 0.21/0.55 ![X0,X1,X2,X3]: (X0=X1|~r2(X1,X2)|~X3=X2|~r2(X0,X3))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f6])). 0.21/0.55 fof(f44,plain,( 0.21/0.55 ![X13,X14,Y22,X15]: (pd0_3(X15,Y22,X14,X13)=>(~r3(X13,X14,X15)&~X15=Y22))), 0.21/0.55 introduced(predicate_definition,[f8])). 0.21/0.55 fof(f45,plain,( 0.21/0.55 ![X13,X14]: ?[Y22]: ![X15]: (pd0_3(X15,Y22,X14,X13)|(r3(X13,X14,X15)&Y22=X15))), 0.21/0.55 inference(formula_renaming,[status(thm)],[f8,f44])). 0.21/0.55 fof(f46,plain,( 0.21/0.55 ![X13,X14]: ![X15]: (pd0_3(X15,sk0_13(X14,X13),X14,X13)|(r3(X13,X14,X15)&sk0_13(X14,X13)=X15))), 0.21/0.55 inference(skolemization,[status(esa)],[f45])). 0.21/0.55 fof(f48,plain,( 0.21/0.55 ![X0,X1,X2]: (pd0_3(X0,sk0_13(X1,X2),X1,X2)|sk0_13(X1,X2)=X0)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f46])). 0.21/0.55 fof(f54,plain,( 0.21/0.55 ![Y24,X19]: (pd0_4(X19,Y24)=>(~r1(X19)&~Y24=X19))), 0.21/0.55 introduced(predicate_definition,[f10])). 0.21/0.55 fof(f55,plain,( 0.21/0.55 ?[Y24]: ![X19]: (pd0_4(X19,Y24)|(X19=Y24&r1(X19)))), 0.21/0.55 inference(formula_renaming,[status(thm)],[f10,f54])). 0.21/0.55 fof(f56,plain,( 0.21/0.55 ![X19]: (pd0_4(X19,sk0_17)|(X19=sk0_17&r1(X19)))), 0.21/0.55 inference(skolemization,[status(esa)],[f55])). 0.21/0.55 fof(f57,plain,( 0.21/0.55 ![X0]: (pd0_4(X0,sk0_17)|X0=sk0_17)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f56])). 0.21/0.55 fof(f58,plain,( 0.21/0.55 ![X0]: (pd0_4(X0,sk0_17)|r1(X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f56])). 0.21/0.55 fof(f59,plain,( 0.21/0.55 ![X4]: (sk0_18(X4)=X4&(r3(X4,sk0_19(X4),sk0_18(X4))&r1(sk0_19(X4))))), 0.21/0.55 inference(skolemization,[status(esa)],[f11])). 0.21/0.55 fof(f60,plain,( 0.21/0.55 ![X0]: (sk0_18(X0)=X0)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f59])). 0.21/0.55 fof(f61,plain,( 0.21/0.55 ![X0]: (r3(X0,sk0_19(X0),sk0_18(X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f59])). 0.21/0.55 fof(f62,plain,( 0.21/0.55 ![X0]: (r1(sk0_19(X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f59])). 0.21/0.55 fof(f63,plain,( 0.21/0.55 (![Y1]: ((?[Y5]: (r1(Y5)&Y5=Y1))|(?[Y2]: ((?[Y3]: (r2(Y3,Y2)&(?[Y4]: (r1(Y4)&r2(Y4,Y3)))))&Y1=Y2))))), 0.21/0.55 inference(pre_NNF_transformation,[status(esa)],[f13])). 0.21/0.55 fof(f64,plain,( 0.21/0.55 ![Y1,Y5]: (pd0_5(Y5,Y1)=>(r1(Y5)&Y5=Y1))), 0.21/0.55 introduced(predicate_definition,[f63])). 0.21/0.55 fof(f65,plain,( 0.21/0.55 ![Y1]: ((?[Y5]: pd0_5(Y5,Y1))|(?[Y2]: ((?[Y3]: (r2(Y3,Y2)&(?[Y4]: (r1(Y4)&r2(Y4,Y3)))))&Y1=Y2)))), 0.21/0.55 inference(formula_renaming,[status(thm)],[f63,f64])). 0.21/0.55 fof(f66,plain,( 0.21/0.55 ![Y1]: (pd0_5(sk0_20(Y1),Y1)|((r2(sk0_22(Y1),sk0_21(Y1))&(r1(sk0_23(Y1))&r2(sk0_23(Y1),sk0_22(Y1))))&Y1=sk0_21(Y1)))), 0.21/0.55 inference(skolemization,[status(esa)],[f65])). 0.21/0.55 fof(f67,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r2(sk0_22(X0),sk0_21(X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f66])). 0.21/0.55 fof(f68,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r1(sk0_23(X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f66])). 0.21/0.55 fof(f69,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r2(sk0_23(X0),sk0_22(X0)))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f66])). 0.21/0.55 fof(f70,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|X0=sk0_21(X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f66])). 0.21/0.55 fof(f71,plain,( 0.21/0.55 ![X11,Y21,X12]: (~pd0_0(X12,Y21,X11)|(~r2(X11,X12)&~Y21=X12))), 0.21/0.55 inference(pre_NNF_transformation,[status(esa)],[f14])). 0.21/0.55 fof(f72,plain,( 0.21/0.55 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~r2(X2,X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f71])). 0.21/0.55 fof(f73,plain,( 0.21/0.55 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~X1=X0)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f71])). 0.21/0.55 fof(f80,plain,( 0.21/0.55 ![X13,X14,Y22,X15]: (~pd0_3(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))), 0.21/0.55 inference(pre_NNF_transformation,[status(esa)],[f44])). 0.21/0.55 fof(f81,plain,( 0.21/0.55 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2,X3)|~r3(X3,X2,X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f80])). 0.21/0.55 fof(f83,plain,( 0.21/0.55 ![Y24,X19]: (~pd0_4(X19,Y24)|(~r1(X19)&~Y24=X19))), 0.21/0.55 inference(pre_NNF_transformation,[status(esa)],[f54])). 0.21/0.55 fof(f84,plain,( 0.21/0.55 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f83])). 0.21/0.55 fof(f85,plain,( 0.21/0.55 ![X0,X1]: (~pd0_4(X0,X1)|~X1=X0)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f83])). 0.21/0.55 fof(f86,plain,( 0.21/0.55 ![Y1,Y5]: (~pd0_5(Y5,Y1)|(r1(Y5)&Y5=Y1))), 0.21/0.55 inference(pre_NNF_transformation,[status(esa)],[f64])). 0.21/0.55 fof(f87,plain,( 0.21/0.55 ![X0,X1]: (~pd0_5(X0,X1)|r1(X0))), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f86])). 0.21/0.55 fof(f88,plain,( 0.21/0.55 ![X0,X1]: (~pd0_5(X0,X1)|X0=X1)), 0.21/0.55 inference(cnf_transformation,[status(esa)],[f86])). 0.21/0.55 fof(f89,plain,( 0.21/0.55 ![X0,X1]: (~r1(X0)|~r2(X1,X0))), 0.21/0.55 inference(destructive_equality_resolution,[status(esa)],[f37])). 0.21/0.55 fof(f90,plain,( 0.21/0.55 ![X0,X1,X2]: (X0=X1|~r2(X1,X2)|~r2(X0,X2))), 0.21/0.55 inference(destructive_equality_resolution,[status(esa)],[f38])). 0.21/0.55 fof(f91,plain,( 0.21/0.55 ![X0,X1]: (~pd0_0(X0,X0,X1))), 0.21/0.55 inference(destructive_equality_resolution,[status(esa)],[f73])). 0.21/0.55 fof(f94,plain,( 0.21/0.55 ![X0]: (~pd0_4(X0,X0))), 0.21/0.55 inference(destructive_equality_resolution,[status(esa)],[f85])). 0.21/0.55 fof(f95,plain,( 0.21/0.55 r1(sk0_17)), 0.21/0.55 inference(resolution,[status(thm)],[f94,f58])). 0.21/0.55 fof(f96,plain,( 0.21/0.55 ![X0]: (X0=sk0_21(X0)|sk0_20(X0)=X0)), 0.21/0.55 inference(resolution,[status(thm)],[f70,f88])). 0.21/0.55 fof(f97,plain,( 0.21/0.55 ![X0]: (X0=sk0_21(X0)|r1(sk0_20(X0)))), 0.21/0.55 inference(resolution,[status(thm)],[f70,f87])). 0.21/0.55 fof(f98,plain,( 0.21/0.55 ![X0]: (~r1(X0)|X0=sk0_17)), 0.21/0.55 inference(resolution,[status(thm)],[f84,f57])). 0.21/0.55 fof(f99,plain,( 0.21/0.55 ![X0]: (~r2(X0,sk0_17))), 0.21/0.55 inference(resolution,[status(thm)],[f89,f95])). 0.21/0.55 fof(f101,plain,( 0.21/0.55 ![X0]: (r1(sk0_23(X0))|sk0_20(X0)=X0)), 0.21/0.55 inference(resolution,[status(thm)],[f68,f88])). 0.21/0.55 fof(f104,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r2(sk0_22(X0),X0)|sk0_20(X0)=X0)), 0.21/0.55 inference(paramodulation,[status(thm)],[f96,f67])). 0.21/0.55 fof(f105,plain,( 0.21/0.55 ![X0]: (r2(sk0_22(X0),X0)|sk0_20(X0)=X0)), 0.21/0.55 inference(forward_subsumption_resolution,[status(thm)],[f104,f88])). 0.21/0.55 fof(f106,plain,( 0.21/0.55 ![X0,X1]: (sk0_0(X0)=X1|~r2(X0,X1))), 0.21/0.55 inference(resolution,[status(thm)],[f17,f72])). 0.21/0.55 fof(f107,plain,( 0.21/0.55 ![X0]: (r2(X0,sk0_0(X0)))), 0.21/0.55 inference(resolution,[status(thm)],[f18,f91])). 0.21/0.55 fof(f113,plain,( 0.21/0.55 ![X0,X1]: (r3(X0,sk0_7(X1,X0),sk0_5(X1,X0)))), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f28,f27])). 0.21/0.55 fof(f125,plain,( 0.21/0.55 ![X0]: (r3(X0,sk0_19(X0),X0))), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f60,f61])). 0.21/0.55 fof(f127,plain,( 0.21/0.55 ![X0,X1,X2]: (~r3(X0,X1,X2)|sk0_13(X1,X0)=X2)), 0.21/0.55 inference(resolution,[status(thm)],[f81,f48])). 0.21/0.55 fof(f128,plain,( 0.21/0.55 ![X0,X1]: (X0=X1|~r2(X0,sk0_0(X1)))), 0.21/0.55 inference(resolution,[status(thm)],[f107,f90])). 0.21/0.55 fof(f176,plain,( 0.21/0.55 ![X0]: (sk0_19(X0)=sk0_17)), 0.21/0.55 inference(resolution,[status(thm)],[f98,f62])). 0.21/0.55 fof(f179,plain,( 0.21/0.55 ![X0]: (sk0_23(X0)=sk0_17|sk0_20(X0)=X0)), 0.21/0.55 inference(resolution,[status(thm)],[f98,f101])). 0.21/0.55 fof(f180,plain,( 0.21/0.55 ![X0]: (sk0_20(X0)=sk0_17|X0=sk0_21(X0))), 0.21/0.55 inference(resolution,[status(thm)],[f98,f97])). 0.21/0.55 fof(f185,plain,( 0.21/0.55 ![X0]: (r3(X0,sk0_17,X0))), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f176,f125])). 0.21/0.55 fof(f201,plain,( 0.21/0.55 ![X0,X1]: (sk0_0(sk0_8(X0,X1))=sk0_5(X0,X1))), 0.21/0.55 inference(resolution,[status(thm)],[f106,f29])). 0.21/0.55 fof(f202,plain,( 0.21/0.55 ![X0]: (sk0_0(sk0_23(X0))=sk0_22(X0)|pd0_5(sk0_20(X0),X0))), 0.21/0.55 inference(resolution,[status(thm)],[f106,f69])). 0.21/0.55 fof(f204,plain,( 0.21/0.55 ![X0]: (sk0_0(sk0_22(X0))=X0|sk0_20(X0)=X0)), 0.21/0.55 inference(resolution,[status(thm)],[f106,f105])). 0.21/0.55 fof(f205,plain,( 0.21/0.55 ![X0,X1]: (sk0_0(X0)=sk0_7(X0,X1))), 0.21/0.55 inference(resolution,[status(thm)],[f106,f26])). 0.21/0.55 fof(f221,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r2(sk0_17,sk0_22(X0))|sk0_20(X0)=X0)), 0.21/0.55 inference(paramodulation,[status(thm)],[f179,f69])). 0.21/0.55 fof(f222,plain,( 0.21/0.55 ![X0]: (r2(sk0_17,sk0_22(X0))|sk0_20(X0)=X0)), 0.21/0.55 inference(forward_subsumption_resolution,[status(thm)],[f221,f88])). 0.21/0.55 fof(f265,plain,( 0.21/0.55 ![X0]: (sk0_13(sk0_17,X0)=X0)), 0.21/0.55 inference(resolution,[status(thm)],[f127,f185])). 0.21/0.55 fof(f266,plain,( 0.21/0.55 ![X0,X1]: (sk0_13(X0,X1)=sk0_8(X0,X1))), 0.21/0.55 inference(resolution,[status(thm)],[f127,f30])). 0.21/0.55 fof(f271,plain,( 0.21/0.55 ![X0]: (sk0_8(sk0_17,X0)=X0)), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f266,f265])). 0.21/0.55 fof(f272,plain,( 0.21/0.55 ![X0,X1,X2]: (~r3(X0,X1,X2)|sk0_8(X1,X0)=X2)), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f266,f127])). 0.21/0.55 fof(f279,plain,( 0.21/0.55 ![X0]: (sk0_0(X0)=sk0_5(sk0_17,X0))), 0.21/0.55 inference(paramodulation,[status(thm)],[f271,f201])). 0.21/0.55 fof(f299,plain,( 0.21/0.55 ![X0]: (r1(sk0_23(X0))|r1(sk0_20(X0)))), 0.21/0.55 inference(resolution,[status(thm)],[f68,f87])). 0.21/0.55 fof(f352,plain,( 0.21/0.55 ![X0]: (pd0_5(sk0_20(X0),X0)|r2(sk0_22(X0),X0)|sk0_20(X0)=sk0_17)), 0.21/0.55 inference(paramodulation,[status(thm)],[f180,f67])). 0.21/0.55 fof(f405,plain,( 0.21/0.55 ![X0,X1]: (r3(X0,sk0_0(X1),sk0_5(X1,X0)))), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f205,f113])). 0.21/0.55 fof(f425,plain,( 0.21/0.55 ![X0,X1]: (sk0_8(sk0_0(X0),X1)=sk0_5(X0,X1))), 0.21/0.55 inference(resolution,[status(thm)],[f272,f405])). 0.21/0.55 fof(f433,plain,( 0.21/0.55 ![X0,X1]: (sk0_0(sk0_5(X0,X1))=sk0_5(sk0_0(X0),X1))), 0.21/0.55 inference(paramodulation,[status(thm)],[f425,f201])). 0.21/0.55 fof(f729,plain,( 0.21/0.55 ![X0]: (sk0_20(X0)=X0|sk0_0(sk0_17)=sk0_22(X0))), 0.21/0.55 inference(resolution,[status(thm)],[f222,f106])). 0.21/0.55 fof(f753,plain,( 0.21/0.55 ![X0]: (sk0_0(sk0_0(sk0_17))=X0|sk0_20(X0)=X0|sk0_20(X0)=X0)), 0.21/0.55 inference(paramodulation,[status(thm)],[f729,f204])). 0.21/0.55 fof(f754,plain,( 0.21/0.55 ![X0]: (sk0_0(sk0_0(sk0_17))=X0|sk0_20(X0)=X0)), 0.21/0.55 inference(duplicate_literals_removal,[status(esa)],[f753])). 0.21/0.55 fof(f936,plain,( 0.21/0.55 spl0_27 <=> sk0_0(sk0_0(sk0_17))=sk0_17), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f937,plain,( 0.21/0.55 sk0_0(sk0_0(sk0_17))=sk0_17|~spl0_27), 0.21/0.55 inference(component_clause,[status(thm)],[f936])). 0.21/0.55 fof(f938,plain,( 0.21/0.55 ~sk0_0(sk0_0(sk0_17))=sk0_17|spl0_27), 0.21/0.55 inference(component_clause,[status(thm)],[f936])). 0.21/0.55 fof(f1056,plain,( 0.21/0.55 spl0_32 <=> sk0_0(sk0_17)=sk0_0(sk0_0(sk0_17))), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1057,plain,( 0.21/0.55 sk0_0(sk0_17)=sk0_0(sk0_0(sk0_17))|~spl0_32), 0.21/0.55 inference(component_clause,[status(thm)],[f1056])). 0.21/0.55 fof(f1058,plain,( 0.21/0.55 ~sk0_0(sk0_17)=sk0_0(sk0_0(sk0_17))|spl0_32), 0.21/0.55 inference(component_clause,[status(thm)],[f1056])). 0.21/0.55 fof(f1770,plain,( 0.21/0.55 spl0_53 <=> sk0_20(sk0_0(sk0_17))=sk0_0(sk0_17)), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1771,plain,( 0.21/0.55 sk0_20(sk0_0(sk0_17))=sk0_0(sk0_17)|~spl0_53), 0.21/0.55 inference(component_clause,[status(thm)],[f1770])). 0.21/0.55 fof(f1772,plain,( 0.21/0.55 ~sk0_20(sk0_0(sk0_17))=sk0_0(sk0_17)|spl0_53), 0.21/0.55 inference(component_clause,[status(thm)],[f1770])). 0.21/0.55 fof(f1914,plain,( 0.21/0.55 spl0_68 <=> sk0_17=sk0_0(sk0_17)), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1915,plain,( 0.21/0.55 sk0_17=sk0_0(sk0_17)|~spl0_68), 0.21/0.55 inference(component_clause,[status(thm)],[f1914])). 0.21/0.55 fof(f1916,plain,( 0.21/0.55 ~sk0_17=sk0_0(sk0_17)|spl0_68), 0.21/0.55 inference(component_clause,[status(thm)],[f1914])). 0.21/0.55 fof(f1950,plain,( 0.21/0.55 spl0_74 <=> pd0_5(sk0_0(sk0_17),sk0_0(sk0_17))), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1951,plain,( 0.21/0.55 pd0_5(sk0_0(sk0_17),sk0_0(sk0_17))|~spl0_74), 0.21/0.55 inference(component_clause,[status(thm)],[f1950])). 0.21/0.55 fof(f1961,plain,( 0.21/0.55 spl0_75 <=> sk0_0(sk0_23(sk0_0(sk0_17)))=sk0_22(sk0_0(sk0_17))), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1962,plain,( 0.21/0.55 sk0_0(sk0_23(sk0_0(sk0_17)))=sk0_22(sk0_0(sk0_17))|~spl0_75), 0.21/0.55 inference(component_clause,[status(thm)],[f1961])). 0.21/0.55 fof(f1964,plain,( 0.21/0.55 sk0_0(sk0_23(sk0_0(sk0_17)))=sk0_22(sk0_0(sk0_17))|pd0_5(sk0_0(sk0_17),sk0_0(sk0_17))|~spl0_53), 0.21/0.55 inference(paramodulation,[status(thm)],[f1771,f202])). 0.21/0.55 fof(f1965,plain,( 0.21/0.55 spl0_75|spl0_74|~spl0_53), 0.21/0.55 inference(split_clause,[status(thm)],[f1964,f1961,f1950,f1770])). 0.21/0.55 fof(f1983,plain,( 0.21/0.55 spl0_79 <=> r1(sk0_0(sk0_17))), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f1984,plain,( 0.21/0.55 r1(sk0_0(sk0_17))|~spl0_79), 0.21/0.55 inference(component_clause,[status(thm)],[f1983])). 0.21/0.55 fof(f2104,plain,( 0.21/0.55 spl0_84 <=> sk0_20(sk0_0(sk0_17))=sk0_17), 0.21/0.55 introduced(split_symbol_definition)). 0.21/0.55 fof(f2105,plain,( 0.21/0.55 sk0_20(sk0_0(sk0_17))=sk0_17|~spl0_84), 0.21/0.55 inference(component_clause,[status(thm)],[f2104])). 0.21/0.55 fof(f2144,plain,( 0.21/0.55 ~sk0_0(sk0_17)=sk0_17|~spl0_32|spl0_27), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f1057,f938])). 0.21/0.55 fof(f2181,plain,( 0.21/0.55 ![X0]: (sk0_8(sk0_0(sk0_17),X0)=sk0_5(sk0_0(sk0_17),X0)|~spl0_32)), 0.21/0.55 inference(paramodulation,[status(thm)],[f1057,f425])). 0.21/0.55 fof(f2182,plain,( 0.21/0.55 ![X0]: (sk0_5(sk0_17,X0)=sk0_5(sk0_0(sk0_17),X0)|~spl0_32)), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f425,f2181])). 0.21/0.55 fof(f2183,plain,( 0.21/0.55 ![X0]: (sk0_0(X0)=sk0_5(sk0_0(sk0_17),X0)|~spl0_32)), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f279,f2182])). 0.21/0.55 fof(f2184,plain,( 0.21/0.55 ![X0]: (sk0_0(X0)=sk0_0(sk0_5(sk0_17,X0))|~spl0_32)), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f433,f2183])). 0.21/0.55 fof(f2185,plain,( 0.21/0.55 ![X0]: (sk0_0(X0)=sk0_0(sk0_0(X0))|~spl0_32)), 0.21/0.55 inference(forward_demodulation,[status(thm)],[f279,f2184])). 0.21/0.55 fof(f2245,plain,( 0.21/0.55 ![X0]: (r2(sk0_0(X0),sk0_0(X0))|~spl0_32)), 0.21/0.55 inference(paramodulation,[status(thm)],[f2185,f107])). 0.21/0.55 fof(f2386,plain,( 0.21/0.55 ![X0]: (sk0_0(X0)=X0|~spl0_32)), 0.21/0.55 inference(resolution,[status(thm)],[f2245,f128])). 0.21/0.55 fof(f2430,plain,( 0.21/0.55 ~sk0_17=sk0_17|~spl0_32|spl0_27), 0.21/0.55 inference(backward_demodulation,[status(thm)],[f2386,f2144])). 0.21/0.55 fof(f2431,plain,( 0.21/0.55 $false|~spl0_32|spl0_27), 0.21/0.55 inference(trivial_equality_resolution,[status(esa)],[f2430])). 0.21/0.55 fof(f2432,plain,( 0.21/0.55 ~spl0_32|spl0_27), 0.21/0.55 inference(contradiction_clause,[status(thm)],[f2431])). 0.21/0.55 fof(f3539,plain,( 0.21/0.55 ![X0]: (~sk0_0(sk0_17)=X0|sk0_20(X0)=X0|spl0_32)), 0.21/0.56 inference(paramodulation,[status(thm)],[f754,f1058])). 0.21/0.56 fof(f3540,plain,( 0.21/0.56 sk0_20(sk0_0(sk0_17))=sk0_0(sk0_17)|spl0_32), 0.21/0.56 inference(destructive_equality_resolution,[status(esa)],[f3539])). 0.21/0.56 fof(f3558,plain,( 0.21/0.56 ~sk0_0(sk0_17)=sk0_0(sk0_17)|~spl0_68|spl0_32), 0.21/0.56 inference(backward_demodulation,[status(thm)],[f1915,f1058])). 0.21/0.56 fof(f3559,plain,( 0.21/0.56 ~sk0_17=sk0_0(sk0_17)|~spl0_68|spl0_32), 0.21/0.56 inference(forward_demodulation,[status(thm)],[f1915,f3558])). 0.21/0.56 fof(f3560,plain,( 0.21/0.56 ~sk0_17=sk0_17|~spl0_68|spl0_32), 0.21/0.56 inference(forward_demodulation,[status(thm)],[f1915,f3559])). 0.21/0.56 fof(f3561,plain,( 0.21/0.56 $false|~spl0_68|spl0_32), 0.21/0.56 inference(trivial_equality_resolution,[status(esa)],[f3560])). 0.21/0.56 fof(f3562,plain,( 0.21/0.56 ~spl0_68|spl0_32), 0.21/0.56 inference(contradiction_clause,[status(thm)],[f3561])). 0.21/0.56 fof(f3635,plain,( 0.21/0.56 ![X0]: (r1(sk0_20(X0))|sk0_23(X0)=sk0_17)), 0.21/0.56 inference(resolution,[status(thm)],[f299,f98])). 0.21/0.56 fof(f4466,plain,( 0.21/0.56 ![X0]: (r2(sk0_22(X0),X0)|sk0_20(X0)=sk0_17|r1(sk0_20(X0)))), 0.21/0.56 inference(resolution,[status(thm)],[f352,f87])). 0.21/0.56 fof(f4467,plain,( 0.21/0.56 ![X0]: (r2(sk0_22(X0),X0)|sk0_20(X0)=sk0_17)), 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f4466,f98])). 0.21/0.56 fof(f4675,plain,( 0.21/0.56 spl0_128 <=> sk0_23(sk0_0(sk0_17))=sk0_17), 0.21/0.56 introduced(split_symbol_definition)). 0.21/0.56 fof(f4676,plain,( 0.21/0.56 sk0_23(sk0_0(sk0_17))=sk0_17|~spl0_128), 0.21/0.56 inference(component_clause,[status(thm)],[f4675])). 0.21/0.56 fof(f4678,plain,( 0.21/0.56 r1(sk0_0(sk0_17))|sk0_23(sk0_0(sk0_17))=sk0_17|spl0_32), 0.21/0.56 inference(paramodulation,[status(thm)],[f3540,f3635])). 0.21/0.56 fof(f4679,plain,( 0.21/0.56 spl0_79|spl0_128|spl0_32), 0.21/0.56 inference(split_clause,[status(thm)],[f4678,f1983,f4675,f1056])). 0.21/0.56 fof(f4882,plain,( 0.21/0.56 sk0_0(sk0_17)=sk0_17|~spl0_79), 0.21/0.56 inference(resolution,[status(thm)],[f1984,f98])). 0.21/0.56 fof(f4883,plain,( 0.21/0.56 spl0_68|~spl0_79), 0.21/0.56 inference(split_clause,[status(thm)],[f4882,f1914,f1983])). 0.21/0.56 fof(f6066,plain,( 0.21/0.56 r1(sk0_0(sk0_17))|~spl0_74), 0.21/0.56 inference(resolution,[status(thm)],[f1951,f87])). 0.21/0.56 fof(f6067,plain,( 0.21/0.56 spl0_79|~spl0_74), 0.21/0.56 inference(split_clause,[status(thm)],[f6066,f1983,f1950])). 0.21/0.56 fof(f6096,plain,( 0.21/0.56 sk0_0(sk0_17)=sk0_17|spl0_32|~spl0_84), 0.21/0.56 inference(forward_demodulation,[status(thm)],[f3540,f2105])). 0.21/0.56 fof(f6097,plain,( 0.21/0.56 $false|spl0_68|spl0_32|~spl0_84), 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f6096,f1916])). 0.21/0.56 fof(f6098,plain,( 0.21/0.56 spl0_68|spl0_32|~spl0_84), 0.21/0.56 inference(contradiction_clause,[status(thm)],[f6097])). 0.21/0.56 fof(f6100,plain,( 0.21/0.56 ~sk0_0(sk0_17)=sk0_0(sk0_17)|spl0_32|spl0_53), 0.21/0.56 inference(forward_demodulation,[status(thm)],[f3540,f1772])). 0.21/0.56 fof(f6101,plain,( 0.21/0.56 $false|spl0_32|spl0_53), 0.21/0.56 inference(trivial_equality_resolution,[status(esa)],[f6100])). 0.21/0.56 fof(f6102,plain,( 0.21/0.56 spl0_32|spl0_53), 0.21/0.56 inference(contradiction_clause,[status(thm)],[f6101])). 0.21/0.56 fof(f6104,plain,( 0.21/0.56 sk0_0(sk0_17)=sk0_22(sk0_0(sk0_17))|~spl0_128|~spl0_75), 0.21/0.56 inference(forward_demodulation,[status(thm)],[f4676,f1962])). 0.21/0.56 fof(f6242,plain,( 0.21/0.56 ![X0]: (sk0_20(X0)=sk0_17|sk0_0(sk0_22(X0))=X0)), 0.21/0.56 inference(resolution,[status(thm)],[f4467,f106])). 0.21/0.56 fof(f6491,plain,( 0.21/0.56 r2(sk0_0(sk0_17),sk0_17)|~spl0_27), 0.21/0.56 inference(paramodulation,[status(thm)],[f937,f107])). 0.21/0.56 fof(f6492,plain,( 0.21/0.56 $false|~spl0_27), 0.21/0.56 inference(forward_subsumption_resolution,[status(thm)],[f6491,f99])). 0.21/0.56 fof(f6493,plain,( 0.21/0.56 ~spl0_27), 0.21/0.56 inference(contradiction_clause,[status(thm)],[f6492])). 0.21/0.56 fof(f7486,plain,( 0.21/0.56 sk0_20(sk0_0(sk0_17))=sk0_17|sk0_0(sk0_0(sk0_17))=sk0_0(sk0_17)|~spl0_128|~spl0_75), 0.21/0.56 inference(paramodulation,[status(thm)],[f6104,f6242])). 0.21/0.56 fof(f7487,plain,( 0.21/0.56 spl0_84|spl0_32|~spl0_128|~spl0_75), 0.21/0.56 inference(split_clause,[status(thm)],[f7486,f2104,f1056,f4675,f1961])). 0.21/0.56 fof(f7496,plain,( 0.21/0.56 $false), 0.21/0.56 inference(sat_refutation,[status(thm)],[f1965,f2432,f3562,f4679,f4883,f6067,f6098,f6102,f6493,f7487])). 0.21/0.56 % SZS output end CNFRefutation for theBenchmark.p 0.21/0.56 % Elapsed time: 0.207495 seconds 0.21/0.56 % CPU time: 1.497053 seconds 0.21/0.56 % Memory used: 98.325 MB 0.21/0.56 EOF