TSTP Solution File: NUN059+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 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 : Tue Apr 30 20:36:18 EDT 2024
% Result : Theorem 9.41s 1.59s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n002.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 : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:57:09 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 9.41/1.59 % Refutation found
% 9.41/1.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.41/1.59 % SZS output start CNFRefutation for theBenchmark
% 9.41/1.59 fof(f1,axiom,(
% 9.41/1.59 (? [Y24] :(! [X19] :( ( id(X19,Y24)& r1(X19) )| ( ~ r1(X19)& ~ id(X19,Y24) ) ) ))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f3,axiom,(
% 9.41/1.59 (! [X13,X14] :(? [Y22] :(! [X15] :( ( id(X15,Y22)& r3(X13,X14,X15) )| ( ~ r3(X13,X14,X15)& ~ id(X15,Y22) ) ) )))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f4,axiom,(
% 9.41/1.59 (! [X16,X17] :(? [Y23] :(! [X18] :( ( id(X18,Y23)& r4(X16,X17,X18) )| ( ~ r4(X16,X17,X18)& ~ id(X18,Y23) ) ) )))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f5,axiom,(
% 9.41/1.59 (! [X20] : id(X20,X20) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f6,axiom,(
% 9.41/1.59 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f7,axiom,(
% 9.41/1.59 (! [X23,X24,X25] :( ~ id(X23,X24)| id(X23,X25)| ~ id(X24,X25) ) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f8,axiom,(
% 9.41/1.59 (! [X26,X27] :( ~ id(X26,X27)| ( ~ r1(X26)& ~ r1(X27) )| ( r1(X26)& r1(X27) ) ) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f10,axiom,(
% 9.41/1.59 (! [X32,X33,X34,X35,X36,X37] :( ~ id(X32,X35)| ~ id(X33,X36)| ~ id(X34,X37)| ( ~ r3(X32,X33,X34)& ~ r3(X35,X36,X37) )| ( r3(X32,X33,X34)& r3(X35,X36,X37) ) ) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f11,axiom,(
% 9.41/1.59 (! [X38,X39,X40,X41,X42,X43] :( ~ id(X38,X41)| ~ id(X39,X42)| ~ id(X40,X43)| ( ~ r4(X38,X39,X40)& ~ r4(X41,X42,X43) )| ( r4(X38,X39,X40)& r4(X41,X42,X43) ) ) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f12,axiom,(
% 9.41/1.59 (! [X1,X8] :(? [Y4] :( (? [Y5] :( id(Y5,Y4)& (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ) )))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f13,axiom,(
% 9.41/1.59 (! [X2,X9] :(? [Y2] :( (? [Y3] :( id(Y3,Y2)& (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ) )))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f15,axiom,(
% 9.41/1.59 (! [X4] :(? [Y9] :( id(Y9,X4)& (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ) )) ))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f16,axiom,(
% 9.41/1.59 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f19,conjecture,(
% 9.41/1.59 (? [Y1,Y3,Y2,Y4] :( (? [Y5] :( id(Y4,Y5)& r4(Y2,Y2,Y5) ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) )),
% 9.41/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.41/1.59 fof(f20,negated_conjecture,(
% 9.41/1.59 ~((? [Y1,Y3,Y2,Y4] :( (? [Y5] :( id(Y4,Y5)& r4(Y2,Y2,Y5) ))& (? [Y6] :( r4(Y3,Y3,Y6)& (? [Y7] :( r4(Y1,Y1,Y7)& r3(Y7,Y6,Y4) ) )) )) ))),
% 9.41/1.59 inference(negated_conjecture,[status(cth)],[f19])).
% 9.41/1.59 fof(f21,plain,(
% 9.41/1.59 ![Y24,X19]: (pd0_0(X19,Y24)=>(id(X19,Y24)&r1(X19)))),
% 9.41/1.59 introduced(predicate_definition,[f1])).
% 9.41/1.59 fof(f22,plain,(
% 9.41/1.59 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(~r1(X19)&~id(X19,Y24)))),
% 9.41/1.59 inference(formula_renaming,[status(thm)],[f1,f21])).
% 9.41/1.59 fof(f23,plain,(
% 9.41/1.59 ![X19]: (pd0_0(X19,sk0_0)|(~r1(X19)&~id(X19,sk0_0)))),
% 9.41/1.59 inference(skolemization,[status(esa)],[f22])).
% 9.41/1.59 fof(f24,plain,(
% 9.41/1.59 ![X0]: (pd0_0(X0,sk0_0)|~r1(X0))),
% 9.41/1.59 inference(cnf_transformation,[status(esa)],[f23])).
% 9.41/1.59 fof(f25,plain,(
% 9.41/1.59 ![X0]: (pd0_0(X0,sk0_0)|~id(X0,sk0_0))),
% 9.41/1.59 inference(cnf_transformation,[status(esa)],[f23])).
% 9.41/1.59 fof(f31,plain,(
% 9.41/1.59 ![X13,X14,Y22,X15]: (pd0_2(X15,Y22,X14,X13)=>(id(X15,Y22)&r3(X13,X14,X15)))),
% 9.41/1.59 introduced(predicate_definition,[f3])).
% 9.41/1.59 fof(f32,plain,(
% 9.41/1.59 ![X13,X14]: ?[Y22]: ![X15]: (pd0_2(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~id(X15,Y22)))),
% 9.41/1.59 inference(formula_renaming,[status(thm)],[f3,f31])).
% 9.41/1.59 fof(f33,plain,(
% 9.41/1.59 ![X13,X14]: ![X15]: (pd0_2(X15,sk0_2(X14,X13),X14,X13)|(~r3(X13,X14,X15)&~id(X15,sk0_2(X14,X13))))),
% 9.41/1.59 inference(skolemization,[status(esa)],[f32])).
% 9.41/1.59 fof(f34,plain,(
% 9.41/1.59 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|~r3(X2,X1,X0))),
% 9.41/1.59 inference(cnf_transformation,[status(esa)],[f33])).
% 9.41/1.61 fof(f35,plain,(
% 9.41/1.61 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|~id(X0,sk0_2(X1,X2)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f33])).
% 9.41/1.61 fof(f36,plain,(
% 9.41/1.61 ![X16,X17,Y23,X18]: (pd0_3(X18,Y23,X17,X16)=>(id(X18,Y23)&r4(X16,X17,X18)))),
% 9.41/1.61 introduced(predicate_definition,[f4])).
% 9.41/1.61 fof(f37,plain,(
% 9.41/1.61 ![X16,X17]: ?[Y23]: ![X18]: (pd0_3(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~id(X18,Y23)))),
% 9.41/1.61 inference(formula_renaming,[status(thm)],[f4,f36])).
% 9.41/1.61 fof(f38,plain,(
% 9.41/1.61 ![X16,X17]: ![X18]: (pd0_3(X18,sk0_3(X17,X16),X17,X16)|(~r4(X16,X17,X18)&~id(X18,sk0_3(X17,X16))))),
% 9.41/1.61 inference(skolemization,[status(esa)],[f37])).
% 9.41/1.61 fof(f39,plain,(
% 9.41/1.61 ![X0,X1,X2]: (pd0_3(X0,sk0_3(X1,X2),X1,X2)|~r4(X2,X1,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f38])).
% 9.41/1.61 fof(f41,plain,(
% 9.41/1.61 ![X0]: (id(X0,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f5])).
% 9.41/1.61 fof(f42,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f6])).
% 9.41/1.61 fof(f43,plain,(
% 9.41/1.61 ![X24,X25]: ((![X23]: (~id(X23,X24)|id(X23,X25)))|~id(X24,X25))),
% 9.41/1.61 inference(miniscoping,[status(esa)],[f7])).
% 9.41/1.61 fof(f44,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~id(X0,X1)|id(X0,X2)|~id(X1,X2))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f43])).
% 9.41/1.61 fof(f45,plain,(
% 9.41/1.61 ![X26,X27]: (pd0_4(X27,X26)=>(~r1(X26)&~r1(X27)))),
% 9.41/1.61 introduced(predicate_definition,[f8])).
% 9.41/1.61 fof(f46,plain,(
% 9.41/1.61 ![X26,X27]: ((~id(X26,X27)|pd0_4(X27,X26))|(r1(X26)&r1(X27)))),
% 9.41/1.61 inference(formula_renaming,[status(thm)],[f8,f45])).
% 9.41/1.61 fof(f47,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|pd0_4(X1,X0)|r1(X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f46])).
% 9.41/1.61 fof(f48,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|pd0_4(X1,X0)|r1(X1))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f46])).
% 9.41/1.61 fof(f53,plain,(
% 9.41/1.61 ![X32,X33,X34,X35,X36,X37]: (pd0_6(X37,X36,X35,X34,X33,X32)=>(~r3(X32,X33,X34)&~r3(X35,X36,X37)))),
% 9.41/1.61 introduced(predicate_definition,[f10])).
% 9.41/1.61 fof(f54,plain,(
% 9.41/1.61 ![X32,X33,X34,X35,X36,X37]: ((((~id(X32,X35)|~id(X33,X36))|~id(X34,X37))|pd0_6(X37,X36,X35,X34,X33,X32))|(r3(X32,X33,X34)&r3(X35,X36,X37)))),
% 9.41/1.61 inference(formula_renaming,[status(thm)],[f10,f53])).
% 9.41/1.61 fof(f55,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~id(X0,X1)|~id(X2,X3)|~id(X4,X5)|pd0_6(X5,X3,X1,X4,X2,X0)|r3(X0,X2,X4))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f54])).
% 9.41/1.61 fof(f57,plain,(
% 9.41/1.61 ![X38,X39,X40,X41,X42,X43]: (pd0_7(X43,X42,X41,X40,X39,X38)=>(~r4(X38,X39,X40)&~r4(X41,X42,X43)))),
% 9.41/1.61 introduced(predicate_definition,[f11])).
% 9.41/1.61 fof(f58,plain,(
% 9.41/1.61 ![X38,X39,X40,X41,X42,X43]: ((((~id(X38,X41)|~id(X39,X42))|~id(X40,X43))|pd0_7(X43,X42,X41,X40,X39,X38))|(r4(X38,X39,X40)&r4(X41,X42,X43)))),
% 9.41/1.61 inference(formula_renaming,[status(thm)],[f11,f57])).
% 9.41/1.61 fof(f60,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~id(X0,X1)|~id(X2,X3)|~id(X4,X5)|pd0_7(X5,X3,X1,X4,X2,X0)|r4(X1,X3,X5))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f58])).
% 9.41/1.61 fof(f61,plain,(
% 9.41/1.61 ![X1,X8]: ((id(sk0_5(X8,X1),sk0_4(X8,X1))&(r2(X8,sk0_6(X8,X1))&r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))))&(r2(sk0_7(X8,X1),sk0_4(X8,X1))&r3(X1,X8,sk0_7(X8,X1))))),
% 9.41/1.61 inference(skolemization,[status(esa)],[f12])).
% 9.41/1.61 fof(f66,plain,(
% 9.41/1.61 ![X0,X1]: (r3(X0,X1,sk0_7(X1,X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f61])).
% 9.41/1.61 fof(f67,plain,(
% 9.41/1.61 ![X2,X9]: ((id(sk0_9(X9,X2),sk0_8(X9,X2))&(r2(X9,sk0_10(X9,X2))&r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))))&(r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))&r4(X2,X9,sk0_11(X9,X2))))),
% 9.41/1.61 inference(skolemization,[status(esa)],[f13])).
% 9.41/1.61 fof(f72,plain,(
% 9.41/1.61 ![X0,X1]: (r4(X0,X1,sk0_11(X1,X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f67])).
% 9.41/1.61 fof(f74,plain,(
% 9.41/1.61 ![X4]: (id(sk0_12(X4),X4)&(r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4))))),
% 9.41/1.61 inference(skolemization,[status(esa)],[f15])).
% 9.41/1.61 fof(f75,plain,(
% 9.41/1.61 ![X0]: (id(sk0_12(X0),X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f74])).
% 9.41/1.61 fof(f76,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_13(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f74])).
% 9.41/1.61 fof(f77,plain,(
% 9.41/1.61 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f74])).
% 9.41/1.61 fof(f78,plain,(
% 9.41/1.61 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(id(sk0_14(X5),sk0_16(X5))&r1(sk0_16(X5))))),
% 9.41/1.61 inference(skolemization,[status(esa)],[f16])).
% 9.41/1.61 fof(f79,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_15(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f78])).
% 9.41/1.61 fof(f80,plain,(
% 9.41/1.61 ![X0]: (r4(X0,sk0_15(X0),sk0_14(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f78])).
% 9.41/1.61 fof(f81,plain,(
% 9.41/1.61 ![X0]: (id(sk0_14(X0),sk0_16(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f78])).
% 9.41/1.61 fof(f82,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_16(X0)))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f78])).
% 9.41/1.61 fof(f91,plain,(
% 9.41/1.61 (![Y1,Y3,Y2,Y4]: ((![Y5]: (~id(Y4,Y5)|~r4(Y2,Y2,Y5)))|(![Y6]: (~r4(Y3,Y3,Y6)|(![Y7]: (~r4(Y1,Y1,Y7)|~r3(Y7,Y6,Y4)))))))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 9.41/1.61 fof(f92,plain,(
% 9.41/1.61 ![Y4]: ((![Y5]: (~id(Y4,Y5)|(![Y2]: ~r4(Y2,Y2,Y5))))|(![Y6]: ((![Y3]: ~r4(Y3,Y3,Y6))|(![Y7]: ((![Y1]: ~r4(Y1,Y1,Y7))|~r3(Y7,Y6,Y4))))))),
% 9.41/1.61 inference(miniscoping,[status(esa)],[f91])).
% 9.41/1.61 fof(f93,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5,X6]: (~id(X0,X1)|~r4(X2,X2,X1)|~r4(X3,X3,X4)|~r4(X5,X5,X6)|~r3(X6,X4,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f92])).
% 9.41/1.61 fof(f94,plain,(
% 9.41/1.61 ![Y24,X19]: (~pd0_0(X19,Y24)|(id(X19,Y24)&r1(X19)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 9.41/1.61 fof(f95,plain,(
% 9.41/1.61 ![X0,X1]: (~pd0_0(X0,X1)|id(X0,X1))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f94])).
% 9.41/1.61 fof(f96,plain,(
% 9.41/1.61 ![X0,X1]: (~pd0_0(X0,X1)|r1(X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f94])).
% 9.41/1.61 fof(f100,plain,(
% 9.41/1.61 ![X13,X14,Y22,X15]: (~pd0_2(X15,Y22,X14,X13)|(id(X15,Y22)&r3(X13,X14,X15)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 9.41/1.61 fof(f101,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|id(X0,X1))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f100])).
% 9.41/1.61 fof(f102,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|r3(X3,X2,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f100])).
% 9.41/1.61 fof(f103,plain,(
% 9.41/1.61 ![X16,X17,Y23,X18]: (~pd0_3(X18,Y23,X17,X16)|(id(X18,Y23)&r4(X16,X17,X18)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 9.41/1.61 fof(f104,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (~pd0_3(X0,X1,X2,X3)|id(X0,X1))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f103])).
% 9.41/1.61 fof(f106,plain,(
% 9.41/1.61 ![X26,X27]: (~pd0_4(X27,X26)|(~r1(X26)&~r1(X27)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 9.41/1.61 fof(f107,plain,(
% 9.41/1.61 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X1))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f106])).
% 9.41/1.61 fof(f108,plain,(
% 9.41/1.61 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f106])).
% 9.41/1.61 fof(f112,plain,(
% 9.41/1.61 ![X32,X33,X34,X35,X36,X37]: (~pd0_6(X37,X36,X35,X34,X33,X32)|(~r3(X32,X33,X34)&~r3(X35,X36,X37)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 9.41/1.61 fof(f114,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~pd0_6(X0,X1,X2,X3,X4,X5)|~r3(X2,X1,X0))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f112])).
% 9.41/1.61 fof(f115,plain,(
% 9.41/1.61 ![X38,X39,X40,X41,X42,X43]: (~pd0_7(X43,X42,X41,X40,X39,X38)|(~r4(X38,X39,X40)&~r4(X41,X42,X43)))),
% 9.41/1.61 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 9.41/1.61 fof(f116,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~pd0_7(X0,X1,X2,X3,X4,X5)|~r4(X5,X4,X3))),
% 9.41/1.61 inference(cnf_transformation,[status(esa)],[f115])).
% 9.41/1.61 fof(f122,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5,X6]: (~id(X0,X1)|~r4(X2,X2,X0)|~r4(X3,X3,X4)|~r4(X5,X5,X6)|~r3(X6,X4,X1))),
% 9.41/1.61 inference(resolution,[status(thm)],[f42,f93])).
% 9.41/1.61 fof(f125,plain,(
% 9.41/1.61 ![X0]: (~id(X0,sk0_0)|r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f25,f96])).
% 9.41/1.61 fof(f327,plain,(
% 9.41/1.61 ![X0]: (id(X0,sk0_0)|~r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f95,f24])).
% 9.41/1.61 fof(f330,plain,(
% 9.41/1.61 ![X0]: (r1(X0)|~id(sk0_0,X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f125,f42])).
% 9.41/1.61 fof(f334,plain,(
% 9.41/1.61 ![X0]: (id(sk0_15(X0),sk0_0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f327,f79])).
% 9.41/1.61 fof(f360,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|r1(X0)|~r1(X1))),
% 9.41/1.61 inference(resolution,[status(thm)],[f47,f108])).
% 9.41/1.61 fof(f362,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,sk0_16(X1))|r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f360,f82])).
% 9.41/1.61 fof(f364,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,sk0_13(X1))|r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f360,f76])).
% 9.41/1.61 fof(f365,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_14(X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f362,f81])).
% 9.41/1.61 fof(f370,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,sk0_14(X1))|r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f365,f360])).
% 9.41/1.61 fof(f386,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_12(sk0_13(X0))))),
% 9.41/1.61 inference(resolution,[status(thm)],[f364,f75])).
% 9.41/1.61 fof(f391,plain,(
% 9.41/1.61 ![X0]: (id(sk0_12(sk0_13(X0)),sk0_0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f386,f327])).
% 9.41/1.61 fof(f397,plain,(
% 9.41/1.61 ![X0,X1,X2]: (r1(X0)|~id(X0,X1)|~id(X1,sk0_14(X2)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f370,f44])).
% 9.41/1.61 fof(f439,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|r1(X1)|~r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f48,f107])).
% 9.41/1.61 fof(f507,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~r3(X0,X1,X2)|id(X2,sk0_2(X1,X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f34,f101])).
% 9.41/1.61 fof(f508,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~id(X0,sk0_2(X1,X2))|r3(X2,X1,X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f35,f102])).
% 9.41/1.61 fof(f509,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~r4(X0,X1,X2)|id(X2,sk0_3(X1,X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f39,f104])).
% 9.41/1.61 fof(f728,plain,(
% 9.41/1.61 ![X0,X1,X2]: (r1(X0)|~id(X0,X1)|~id(sk0_14(X2),X1))),
% 9.41/1.61 inference(resolution,[status(thm)],[f397,f42])).
% 9.41/1.61 fof(f929,plain,(
% 9.41/1.61 ![X0,X1]: (id(sk0_7(X0,X1),sk0_2(X0,X1)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f507,f66])).
% 9.41/1.61 fof(f932,plain,(
% 9.41/1.61 ![X0,X1,X2]: (r3(X0,X1,X2)|~id(sk0_2(X1,X0),X2))),
% 9.41/1.61 inference(resolution,[status(thm)],[f508,f42])).
% 9.41/1.61 fof(f945,plain,(
% 9.41/1.61 ![X0,X1]: (id(sk0_11(X0,X1),sk0_3(X0,X1)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f509,f72])).
% 9.41/1.61 fof(f969,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (r3(X0,X1,X2)|~id(sk0_2(X1,X0),X3)|~id(X3,X2))),
% 9.41/1.61 inference(resolution,[status(thm)],[f932,f44])).
% 9.41/1.61 fof(f976,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~r3(X0,X1,X2)|~id(X3,X0)|~id(X4,X1)|~id(X5,X2)|r3(X3,X4,X5))),
% 9.41/1.61 inference(resolution,[status(thm)],[f114,f55])).
% 9.41/1.61 fof(f977,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4,X5]: (~r4(X0,X1,X2)|~id(X0,X3)|~id(X1,X4)|~id(X2,X5)|r4(X3,X4,X5))),
% 9.41/1.61 inference(resolution,[status(thm)],[f116,f60])).
% 9.41/1.61 fof(f1133,plain,(
% 9.41/1.61 ![X0]: (id(sk0_12(X0),sk0_2(sk0_13(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f77,f507])).
% 9.41/1.61 fof(f1134,plain,(
% 9.41/1.61 ![X0]: (id(sk0_14(X0),sk0_3(sk0_15(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f80,f509])).
% 9.41/1.61 fof(f1151,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4]: (~id(X0,X1)|~id(X2,X3)|~id(X4,sk0_7(X3,X1))|r3(X0,X2,X4))),
% 9.41/1.61 inference(resolution,[status(thm)],[f976,f66])).
% 9.41/1.61 fof(f1354,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (r3(X0,X1,X2)|~id(X3,X2)|~id(X3,sk0_2(X1,X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f969,f42])).
% 9.41/1.61 fof(f1521,plain,(
% 9.41/1.61 ![X0,X1]: (r3(X0,sk0_13(X0),X1)|~id(sk0_12(X0),X1))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1133,f1354])).
% 9.41/1.61 fof(f1526,plain,(
% 9.41/1.61 ![X0,X1]: (r1(X0)|~id(X0,sk0_3(sk0_15(X1),X1)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1134,f728])).
% 9.41/1.61 fof(f1624,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_12(X0),X1)|id(X1,sk0_2(sk0_13(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1521,f507])).
% 9.41/1.61 fof(f1772,plain,(
% 9.41/1.61 ![X0,X1,X2,X3,X4]: (~id(X0,X1)|~id(X2,X3)|~id(sk0_11(X2,X0),X4)|r4(X1,X3,X4))),
% 9.41/1.61 inference(resolution,[status(thm)],[f977,f72])).
% 9.41/1.61 fof(f2524,plain,(
% 9.41/1.61 ![X0]: (id(X0,sk0_2(sk0_13(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1624,f75])).
% 9.41/1.61 fof(f2940,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_11(sk0_15(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f945,f1526])).
% 9.41/1.61 fof(f3102,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,sk0_11(sk0_15(X1),X1))|r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f2940,f360])).
% 9.41/1.61 fof(f3103,plain,(
% 9.41/1.61 ![X0]: (id(sk0_11(sk0_15(X0),X0),sk0_0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f2940,f327])).
% 9.41/1.61 fof(f3151,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_12(sk0_11(sk0_15(X0),X0))))),
% 9.41/1.61 inference(resolution,[status(thm)],[f3102,f75])).
% 9.41/1.61 fof(f3675,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(X2,X3)|r3(X0,X2,sk0_7(X3,X1)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1151,f41])).
% 9.41/1.61 fof(f3703,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~id(X0,X1)|~id(sk0_15(X0),X2)|r4(X1,X2,sk0_0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f1772,f3103])).
% 9.41/1.61 fof(f3896,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,X1)|r4(X1,sk0_0,sk0_0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f3703,f334])).
% 9.41/1.61 fof(f3904,plain,(
% 9.41/1.61 spl0_56 <=> ~id(X0,sk0_0)),
% 9.41/1.61 introduced(split_symbol_definition)).
% 9.41/1.61 fof(f3905,plain,(
% 9.41/1.61 ![X0]: (~id(X0,sk0_0)|~spl0_56)),
% 9.41/1.61 inference(component_clause,[status(thm)],[f3904])).
% 9.41/1.61 fof(f4162,plain,(
% 9.41/1.61 spl0_107 <=> ~id(X1,X2)|~r4(X3,X3,X1)|~r3(sk0_0,sk0_0,X2)),
% 9.41/1.61 introduced(split_symbol_definition)).
% 9.41/1.61 fof(f4163,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~id(X0,X1)|~r4(X2,X2,X0)|~r3(sk0_0,sk0_0,X1)|~spl0_107)),
% 9.41/1.61 inference(component_clause,[status(thm)],[f4162])).
% 9.41/1.61 fof(f4165,plain,(
% 9.41/1.61 ![X0,X1,X2,X3]: (~id(X0,sk0_0)|~id(X1,X2)|~r4(X3,X3,X1)|~r3(sk0_0,sk0_0,X2))),
% 9.41/1.61 inference(resolution,[status(thm)],[f3896,f122])).
% 9.41/1.61 fof(f4166,plain,(
% 9.41/1.61 spl0_56|spl0_107),
% 9.41/1.61 inference(split_clause,[status(thm)],[f4165,f3904,f4162])).
% 9.41/1.61 fof(f4199,plain,(
% 9.41/1.61 $false|~spl0_56),
% 9.41/1.61 inference(resolution,[status(thm)],[f3905,f75])).
% 9.41/1.61 fof(f4200,plain,(
% 9.41/1.61 ~spl0_56),
% 9.41/1.61 inference(contradiction_clause,[status(thm)],[f4199])).
% 9.41/1.61 fof(f5087,plain,(
% 9.41/1.61 spl0_139 <=> ~id(sk0_0,X0)|~r3(sk0_0,sk0_0,X0)),
% 9.41/1.61 introduced(split_symbol_definition)).
% 9.41/1.61 fof(f5088,plain,(
% 9.41/1.61 ![X0]: (~id(sk0_0,X0)|~r3(sk0_0,sk0_0,X0)|~spl0_139)),
% 9.41/1.61 inference(component_clause,[status(thm)],[f5087])).
% 9.41/1.61 fof(f5090,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_0,X0)|~r3(sk0_0,sk0_0,X0)|~id(X1,sk0_0)|~spl0_107)),
% 9.41/1.61 inference(resolution,[status(thm)],[f4163,f3896])).
% 9.41/1.61 fof(f5091,plain,(
% 9.41/1.61 spl0_139|spl0_56|~spl0_107),
% 9.41/1.61 inference(split_clause,[status(thm)],[f5090,f5087,f3904,f4162])).
% 9.41/1.61 fof(f5097,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_0,sk0_7(X0,X1))|~id(sk0_0,X1)|~id(sk0_0,X0)|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f5088,f3675])).
% 9.41/1.61 fof(f5200,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_0,X0)|~id(sk0_0,X1)|~id(sk0_7(X1,X0),sk0_0)|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f5097,f42])).
% 9.41/1.61 fof(f5201,plain,(
% 9.41/1.61 ![X0,X1,X2]: (~id(sk0_0,X0)|~id(sk0_0,X1)|~id(sk0_7(X1,X0),X2)|~id(X2,sk0_0)|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f5200,f44])).
% 9.41/1.61 fof(f5394,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_0,X0)|~id(sk0_0,X1)|~id(sk0_2(X1,X0),sk0_0)|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f5201,f929])).
% 9.41/1.61 fof(f5694,plain,(
% 9.41/1.61 ![X0,X1]: (~id(X0,sk0_12(X1))|id(X0,X1))),
% 9.41/1.61 inference(resolution,[status(thm)],[f75,f44])).
% 9.41/1.61 fof(f6035,plain,(
% 9.41/1.61 ![X0]: (r1(sk0_2(sk0_13(X0),X0))|~r1(X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f439,f2524])).
% 9.41/1.61 fof(f6210,plain,(
% 9.41/1.61 ![X0,X1]: (~id(sk0_0,X0)|~id(sk0_0,X1)|~r1(sk0_2(X1,X0))|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f5394,f327])).
% 9.41/1.61 fof(f6519,plain,(
% 9.41/1.61 ![X0,X1]: (id(X0,X1)|~id(sk0_12(X1),X0))),
% 9.41/1.61 inference(resolution,[status(thm)],[f5694,f42])).
% 9.41/1.61 fof(f6659,plain,(
% 9.41/1.61 ![X0]: (id(sk0_0,sk0_13(X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f6519,f391])).
% 9.41/1.61 fof(f6663,plain,(
% 9.41/1.61 ![X0]: (id(sk0_0,X0)|~r1(sk0_12(X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f6519,f327])).
% 9.41/1.61 fof(f6839,plain,(
% 9.41/1.61 ![X0]: (id(sk0_0,sk0_11(sk0_15(X0),X0)))),
% 9.41/1.61 inference(resolution,[status(thm)],[f6663,f3151])).
% 9.41/1.61 fof(f8544,plain,(
% 9.41/1.61 ![X0]: (~r1(X0)|~id(sk0_0,X0)|~id(sk0_0,sk0_13(X0))|~spl0_139)),
% 9.41/1.61 inference(resolution,[status(thm)],[f6035,f6210])).
% 9.41/1.61 fof(f8545,plain,(
% 9.41/1.61 ![X0]: (~id(sk0_0,X0)|~id(sk0_0,sk0_13(X0))|~spl0_139)),
% 9.41/1.61 inference(forward_subsumption_resolution,[status(thm)],[f8544,f330])).
% 9.41/1.61 fof(f8831,plain,(
% 9.41/1.61 ![X0]: (~id(sk0_0,X0)|~spl0_139)),
% 9.41/1.61 inference(forward_subsumption_resolution,[status(thm)],[f8545,f6659])).
% 9.41/1.61 fof(f8833,plain,(
% 9.41/1.61 $false|~spl0_139),
% 9.41/1.61 inference(backward_subsumption_resolution,[status(thm)],[f6839,f8831])).
% 9.41/1.61 fof(f8834,plain,(
% 9.41/1.61 ~spl0_139),
% 9.41/1.61 inference(contradiction_clause,[status(thm)],[f8833])).
% 9.41/1.61 fof(f8835,plain,(
% 9.41/1.61 $false),
% 9.41/1.61 inference(sat_refutation,[status(thm)],[f4166,f4200,f5091,f8834])).
% 9.41/1.61 % SZS output end CNFRefutation for theBenchmark.p
% 9.92/1.62 % Elapsed time: 1.255255 seconds
% 9.92/1.62 % CPU time: 9.898573 seconds
% 9.92/1.62 % Total memory used: 82.449 MB
% 9.92/1.62 % Net memory used: 73.367 MB
%------------------------------------------------------------------------------