0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.13/0.32 % Computer : n007.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 02:32:42 EDT 2022 0.13/0.33 % CPUTime : 0.13/0.34 % Drodi V3.3.3 20.23/2.97 % Refutation found 20.23/2.97 % SZS status Theorem for theBenchmark: Theorem is valid 20.23/2.97 % SZS output start CNFRefutation for theBenchmark 20.23/2.97 fof(f1,axiom,( 20.23/2.97 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f2,axiom,( 20.23/2.97 (! [X11] :(? [Y21] :(! [X12] :( ( r2(X11,X12)& id(X12,Y21) )| ( ~ r2(X11,X12)& ~ id(X12,Y21) ) ) )))), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f3,axiom,( 20.23/2.97 (? [Y24] :(! [X19] :( ( ~ id(X19,Y24)& ~ r1(X19) )| ( r1(X19)& id(X19,Y24) ) ) ))), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f5,axiom,( 20.23/2.97 (! [X3,X10] :( (! [Y12] :( (! [Y13] :( ~ r2(X3,Y13)| ~ id(Y13,Y12) ))| ~ r2(X10,Y12) ))| id(X3,X10) ) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f9,axiom,( 20.23/2.97 (! [X20] : id(X20,X20) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f10,axiom,( 20.23/2.97 (! [X7,Y10] :( ~ r2(X7,Y10)| (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ) )) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f11,axiom,( 20.23/2.97 (! [X1,X8] :(? [Y4] :( (? [Y5] :( id(Y5,Y4)& (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ) )))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f14,axiom,( 20.23/2.97 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f15,axiom,( 20.23/2.97 (! [X23,X24,X25] :( ~ id(X23,X24)| ~ id(X24,X25)| id(X23,X25) ) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f16,axiom,( 20.23/2.97 (! [X26,X27] :( ~ id(X26,X27)| ( ~ r1(X26)& ~ r1(X27) )| ( r1(X27)& r1(X26) ) ) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f19,conjecture,( 20.23/2.97 (? [Y1] :( (! [Y4] :( ~ r1(Y4)| ~ id(Y1,Y4) ))& (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ id(Y1,Y2) ) )) )), 20.23/2.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 20.23/2.97 fof(f20,negated_conjecture,( 20.23/2.97 ~((? [Y1] :( (! [Y4] :( ~ r1(Y4)| ~ id(Y1,Y4) ))& (! [Y2] :( (! [Y3] :( ~ r1(Y3)| ~ r2(Y3,Y2) ))| ~ id(Y1,Y2) ) )) ))), 20.23/2.97 inference(negated_conjecture,[status(cth)],[f19])). 20.23/2.97 fof(f21,plain,( 20.23/2.97 ![X0,X1]: (~id(X0,X1)|id(X1,X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f1])). 20.23/2.97 fof(f22,plain,( 20.23/2.97 ![X11,Y21,X12]: (pd0_0(X12,Y21,X11)=>(r2(X11,X12)&id(X12,Y21)))), 20.23/2.97 introduced(predicate_definition,[f2])). 20.23/2.97 fof(f23,plain,( 20.23/2.97 ![X11]: ?[Y21]: ![X12]: (pd0_0(X12,Y21,X11)|(~r2(X11,X12)&~id(X12,Y21)))), 20.23/2.97 inference(formula_renaming,[status(thm)],[f2,f22])). 20.23/2.97 fof(f24,plain,( 20.23/2.97 ![X11]: ![X12]: (pd0_0(X12,sk0_0(X11),X11)|(~r2(X11,X12)&~id(X12,sk0_0(X11))))), 20.23/2.97 inference(skolemization,[status(esa)],[f23])). 20.23/2.97 fof(f26,plain,( 20.23/2.97 ![X0,X1]: (pd0_0(X0,sk0_0(X1),X1)|~id(X0,sk0_0(X1)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f24])). 20.23/2.97 fof(f27,plain,( 20.23/2.97 ![Y24,X19]: (pd0_1(X19,Y24)=>(~id(X19,Y24)&~r1(X19)))), 20.23/2.97 introduced(predicate_definition,[f3])). 20.23/2.97 fof(f28,plain,( 20.23/2.97 ?[Y24]: ![X19]: (pd0_1(X19,Y24)|(r1(X19)&id(X19,Y24)))), 20.23/2.97 inference(formula_renaming,[status(thm)],[f3,f27])). 20.23/2.97 fof(f29,plain,( 20.23/2.97 ![X19]: (pd0_1(X19,sk0_1)|(r1(X19)&id(X19,sk0_1)))), 20.23/2.97 inference(skolemization,[status(esa)],[f28])). 20.23/2.97 fof(f31,plain,( 20.23/2.97 ![X0]: (pd0_1(X0,sk0_1)|id(X0,sk0_1))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f29])). 20.23/2.97 fof(f37,plain,( 20.23/2.97 ![X0,X1,X2,X3]: (~r2(X0,X1)|~id(X1,X2)|~r2(X3,X2)|id(X0,X3))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f5])). 20.23/2.97 fof(f53,plain,( 20.23/2.97 ![X0]: (id(X0,X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f9])). 20.23/2.97 fof(f54,plain,( 20.23/2.97 ![Y10]: ((![X7]: ~r2(X7,Y10))|(![Y20]: (~id(Y20,Y10)|~r1(Y20))))), 20.23/2.97 inference(miniscoping,[status(esa)],[f10])). 20.23/2.97 fof(f55,plain,( 20.23/2.97 ![X0,X1,X2]: (~r2(X0,X1)|~id(X2,X1)|~r1(X2))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f54])). 20.23/2.97 fof(f56,plain,( 20.23/2.97 ![X1,X8]: ((id(sk0_10(X8,X1),sk0_9(X8,X1))&(r2(X8,sk0_11(X8,X1))&r3(X1,sk0_11(X8,X1),sk0_10(X8,X1))))&(r2(sk0_12(X8,X1),sk0_9(X8,X1))&r3(X1,X8,sk0_12(X8,X1))))), 20.23/2.97 inference(skolemization,[status(esa)],[f11])). 20.23/2.97 fof(f60,plain,( 20.23/2.97 ![X0,X1]: (r2(sk0_12(X0,X1),sk0_9(X0,X1)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f56])). 20.23/2.97 fof(f73,plain,( 20.23/2.97 ![X5]: ((r1(sk0_18(X5))&r4(X5,sk0_18(X5),sk0_17(X5)))&(id(sk0_17(X5),sk0_19(X5))&r1(sk0_19(X5))))), 20.23/2.97 inference(skolemization,[status(esa)],[f14])). 20.23/2.97 fof(f76,plain,( 20.23/2.97 ![X0]: (id(sk0_17(X0),sk0_19(X0)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f73])). 20.23/2.97 fof(f77,plain,( 20.23/2.97 ![X0]: (r1(sk0_19(X0)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f73])). 20.23/2.97 fof(f78,plain,( 20.23/2.97 ![X23,X25]: ((![X24]: (~id(X23,X24)|~id(X24,X25)))|id(X23,X25))), 20.23/2.97 inference(miniscoping,[status(esa)],[f15])). 20.23/2.97 fof(f79,plain,( 20.23/2.97 ![X0,X1,X2]: (~id(X0,X1)|~id(X1,X2)|id(X0,X2))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f78])). 20.23/2.97 fof(f80,plain,( 20.23/2.97 ![X26,X27]: (pd0_6(X27,X26)=>(~r1(X26)&~r1(X27)))), 20.23/2.97 introduced(predicate_definition,[f16])). 20.23/2.97 fof(f81,plain,( 20.23/2.97 ![X26,X27]: ((~id(X26,X27)|pd0_6(X27,X26))|(r1(X27)&r1(X26)))), 20.23/2.97 inference(formula_renaming,[status(thm)],[f16,f80])). 20.23/2.97 fof(f83,plain,( 20.23/2.97 ![X0,X1]: (~id(X0,X1)|pd0_6(X1,X0)|r1(X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f81])). 20.23/2.97 fof(f93,plain,( 20.23/2.97 (![Y1]: ((?[Y4]: (r1(Y4)&id(Y1,Y4)))|(?[Y2]: ((?[Y3]: (r1(Y3)&r2(Y3,Y2)))&id(Y1,Y2)))))), 20.23/2.97 inference(pre_NNF_transformation,[status(esa)],[f20])). 20.23/2.97 fof(f94,plain,( 20.23/2.97 ![Y1,Y4]: (pd0_9(Y4,Y1)=>(r1(Y4)&id(Y1,Y4)))), 20.23/2.97 introduced(predicate_definition,[f93])). 20.23/2.97 fof(f95,plain,( 20.23/2.97 ![Y1]: ((?[Y4]: pd0_9(Y4,Y1))|(?[Y2]: ((?[Y3]: (r1(Y3)&r2(Y3,Y2)))&id(Y1,Y2))))), 20.23/2.97 inference(formula_renaming,[status(thm)],[f93,f94])). 20.23/2.97 fof(f96,plain,( 20.23/2.97 ![Y1]: (pd0_9(sk0_20(Y1),Y1)|((r1(sk0_22(Y1))&r2(sk0_22(Y1),sk0_21(Y1)))&id(Y1,sk0_21(Y1))))), 20.23/2.97 inference(skolemization,[status(esa)],[f95])). 20.23/2.97 fof(f97,plain,( 20.23/2.97 ![X0]: (pd0_9(sk0_20(X0),X0)|r1(sk0_22(X0)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f96])). 20.23/2.97 fof(f98,plain,( 20.23/2.97 ![X0]: (pd0_9(sk0_20(X0),X0)|r2(sk0_22(X0),sk0_21(X0)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f96])). 20.23/2.97 fof(f99,plain,( 20.23/2.97 ![X0]: (pd0_9(sk0_20(X0),X0)|id(X0,sk0_21(X0)))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f96])). 20.23/2.97 fof(f100,plain,( 20.23/2.97 ![X11,Y21,X12]: (~pd0_0(X12,Y21,X11)|(r2(X11,X12)&id(X12,Y21)))), 20.23/2.97 inference(pre_NNF_transformation,[status(esa)],[f22])). 20.23/2.97 fof(f101,plain,( 20.23/2.97 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|r2(X2,X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f100])). 20.23/2.97 fof(f103,plain,( 20.23/2.97 ![Y24,X19]: (~pd0_1(X19,Y24)|(~id(X19,Y24)&~r1(X19)))), 20.23/2.97 inference(pre_NNF_transformation,[status(esa)],[f27])). 20.23/2.97 fof(f105,plain,( 20.23/2.97 ![X0,X1]: (~pd0_1(X0,X1)|~r1(X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f103])). 20.23/2.97 fof(f118,plain,( 20.23/2.97 ![X26,X27]: (~pd0_6(X27,X26)|(~r1(X26)&~r1(X27)))), 20.23/2.97 inference(pre_NNF_transformation,[status(esa)],[f80])). 20.23/2.97 fof(f120,plain,( 20.23/2.97 ![X0,X1]: (~pd0_6(X0,X1)|~r1(X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f118])). 20.23/2.97 fof(f127,plain,( 20.23/2.97 ![Y1,Y4]: (~pd0_9(Y4,Y1)|(r1(Y4)&id(Y1,Y4)))), 20.23/2.97 inference(pre_NNF_transformation,[status(esa)],[f94])). 20.23/2.97 fof(f128,plain,( 20.23/2.97 ![X0,X1]: (~pd0_9(X0,X1)|r1(X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f127])). 20.23/2.97 fof(f129,plain,( 20.23/2.97 ![X0,X1]: (~pd0_9(X0,X1)|id(X1,X0))), 20.23/2.97 inference(cnf_transformation,[status(esa)],[f127])). 20.23/2.97 fof(f130,plain,( 20.23/2.97 ![X0]: (~r1(X0)|id(X0,sk0_1))), 20.23/2.97 inference(resolution,[status(thm)],[f105,f31])). 20.23/2.97 fof(f138,plain,( 20.23/2.97 ![X0,X1,X2,X3]: (~r2(X0,X1)|~r1(X2)|~id(X2,X3)|~id(X3,X1))), 20.23/2.97 inference(resolution,[status(thm)],[f55,f79])). 20.23/2.97 fof(f139,plain,( 20.23/2.97 ![X0,X1,X2,X3,X4]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X3)|~id(X3,X4)|~r2(X1,X4))), 20.23/2.97 inference(resolution,[status(thm)],[f55,f37])). 20.23/2.97 fof(f144,plain,( 20.23/2.97 ![X0,X1]: (~r1(X0)|~id(X1,X0)|r1(X1))), 20.23/2.97 inference(resolution,[status(thm)],[f120,f83])). 20.23/2.97 fof(f206,plain,( 20.23/2.97 spl0_1 <=> ~r2(X1,sk0_1)), 20.23/2.97 introduced(split_symbol_definition)). 20.23/2.97 fof(f207,plain,( 20.23/2.97 ![X0]: (~r2(X0,sk0_1)|~spl0_1)), 20.23/2.97 inference(component_clause,[status(thm)],[f206])). 20.23/2.97 fof(f222,plain,( 20.23/2.97 ![X0,X1]: (~pd0_0(sk0_1,X0,X1)|~spl0_1)), 20.23/2.97 inference(resolution,[status(thm)],[f207,f101])). 20.23/2.97 fof(f246,plain,( 20.23/2.97 ![X0]: (~id(sk0_1,sk0_0(X0))|~spl0_1)), 20.23/2.97 inference(resolution,[status(thm)],[f222,f26])). 20.23/2.97 fof(f290,plain,( 20.23/2.97 ![X0]: (~id(sk0_0(X0),sk0_1)|~spl0_1)), 20.23/2.97 inference(resolution,[status(thm)],[f246,f21])). 20.23/2.97 fof(f404,plain,( 20.23/2.98 ![X0]: (~r1(sk0_0(X0))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f130,f290])). 20.23/2.98 fof(f411,plain,( 20.23/2.98 ![X0,X1]: (~r1(X0)|~id(sk0_0(X1),X0)|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f404,f144])). 20.23/2.98 fof(f464,plain,( 20.23/2.98 ![X0,X1,X2,X3]: (~r2(X0,X1)|~r1(X2)|~id(X3,X1)|~id(X3,X2))), 20.23/2.98 inference(resolution,[status(thm)],[f138,f21])). 20.23/2.98 fof(f561,plain,( 20.23/2.98 ![X0,X1,X2,X3]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X3)|~r2(X1,X3))), 20.23/2.98 inference(resolution,[status(thm)],[f139,f53])). 20.23/2.98 fof(f831,plain,( 20.23/2.98 ![X0,X1]: (~r1(X0)|~pd0_9(X0,sk0_0(X1))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f411,f129])). 20.23/2.98 fof(f832,plain,( 20.23/2.98 ![X0,X1]: (~pd0_9(X0,sk0_0(X1))|~spl0_1)), 20.23/2.98 inference(forward_subsumption_resolution,[status(thm)],[f831,f128])). 20.23/2.98 fof(f834,plain,( 20.23/2.98 ![X0]: (r1(sk0_22(sk0_0(X0)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f832,f97])). 20.23/2.98 fof(f835,plain,( 20.23/2.98 ![X0]: (id(sk0_0(X0),sk0_21(sk0_0(X0)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f832,f99])). 20.23/2.98 fof(f836,plain,( 20.23/2.98 ![X0]: (r2(sk0_22(sk0_0(X0)),sk0_21(sk0_0(X0)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f832,f98])). 20.23/2.98 fof(f4082,plain,( 20.23/2.98 spl0_50 <=> ~r1(sk0_17(X1))), 20.23/2.98 introduced(split_symbol_definition)). 20.23/2.98 fof(f4083,plain,( 20.23/2.98 ![X0]: (~r1(sk0_17(X0))|~spl0_50)), 20.23/2.98 inference(component_clause,[status(thm)],[f4082])). 20.23/2.98 fof(f8212,plain,( 20.23/2.98 ![X0,X1,X2]: (~r2(X0,X1)|~r1(sk0_19(X2))|~id(sk0_17(X2),X1))), 20.23/2.98 inference(resolution,[status(thm)],[f464,f76])). 20.23/2.98 fof(f8213,plain,( 20.23/2.98 ![X0,X1,X2]: (~r2(X0,X1)|~id(sk0_17(X2),X1))), 20.23/2.98 inference(forward_subsumption_resolution,[status(thm)],[f8212,f77])). 20.23/2.98 fof(f8279,plain,( 20.23/2.98 ![X0,X1]: (~r2(X0,sk0_1)|~r1(sk0_17(X1)))), 20.23/2.98 inference(resolution,[status(thm)],[f8213,f130])). 20.23/2.98 fof(f8280,plain,( 20.23/2.98 spl0_1|spl0_50), 20.23/2.98 inference(split_clause,[status(thm)],[f8279,f206,f4082])). 20.23/2.98 fof(f8753,plain,( 20.23/2.98 ![X0,X1]: (~r1(X0)|~id(sk0_17(X1),X0)|~spl0_50)), 20.23/2.98 inference(resolution,[status(thm)],[f4083,f144])). 20.23/2.98 fof(f8867,plain,( 20.23/2.98 ![X0]: (~r1(sk0_19(X0))|~spl0_50)), 20.23/2.98 inference(resolution,[status(thm)],[f8753,f76])). 20.23/2.98 fof(f8868,plain,( 20.23/2.98 $false|~spl0_50), 20.23/2.98 inference(forward_subsumption_resolution,[status(thm)],[f8867,f77])). 20.23/2.98 fof(f8869,plain,( 20.23/2.98 ~spl0_50), 20.23/2.98 inference(contradiction_clause,[status(thm)],[f8868])). 20.23/2.98 fof(f13803,plain,( 20.23/2.98 ![X0,X1,X2]: (~r2(X0,X1)|~r1(sk0_22(sk0_0(X2)))|~r2(X1,sk0_21(sk0_0(X2)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f561,f836])). 20.23/2.98 fof(f13804,plain,( 20.23/2.98 ![X0,X1,X2]: (~r2(X0,X1)|~r2(X1,sk0_21(sk0_0(X2)))|~spl0_1)), 20.23/2.98 inference(forward_subsumption_resolution,[status(thm)],[f13803,f834])). 20.23/2.98 fof(f16171,plain,( 20.23/2.98 ![X0,X1,X2]: (~r2(sk0_9(X0,X1),sk0_21(sk0_0(X2)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f13804,f60])). 20.23/2.98 fof(f16210,plain,( 20.23/2.98 ![X0,X1,X2,X3]: (~pd0_0(sk0_21(sk0_0(X0)),X1,sk0_9(X2,X3))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f16171,f101])). 20.23/2.98 fof(f16223,plain,( 20.23/2.98 ![X0,X1,X2]: (~id(sk0_21(sk0_0(X0)),sk0_0(sk0_9(X1,X2)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f16210,f26])). 20.23/2.98 fof(f16282,plain,( 20.23/2.98 ![X0,X1,X2]: (~id(sk0_0(sk0_9(X0,X1)),sk0_21(sk0_0(X2)))|~spl0_1)), 20.23/2.98 inference(resolution,[status(thm)],[f16223,f21])). 20.23/2.98 fof(f16318,plain,( 20.23/2.98 $false|~spl0_1), 20.23/2.98 inference(resolution,[status(thm)],[f16282,f835])). 20.23/2.98 fof(f16319,plain,( 20.23/2.98 ~spl0_1), 20.23/2.98 inference(contradiction_clause,[status(thm)],[f16318])). 20.23/2.98 fof(f16320,plain,( 20.23/2.98 $false), 20.23/2.98 inference(sat_refutation,[status(thm)],[f8280,f8869,f16319])). 20.23/2.98 % SZS output end CNFRefutation for theBenchmark.p 20.91/3.01 % Elapsed time: 2.669603 seconds 20.91/3.01 % CPU time: 21.028129 seconds 20.91/3.01 % Memory used: 288.277 MB 20.91/3.01 EOF