TSTP Solution File: NUN055+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:36:17 EDT 2024
% Result : Theorem 180.41s 23.10s
% Output : CNFRefutation 180.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Apr 29 22:34:47 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 180.41/23.10 % Refutation found
% 180.41/23.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 180.41/23.10 % SZS output start CNFRefutation for theBenchmark
% 180.41/23.10 fof(f1,axiom,(
% 180.41/23.10 (? [Y24] :(! [X19] :( ( id(X19,Y24)& r1(X19) )| ( ~ r1(X19)& ~ id(X19,Y24) ) ) ))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f2,axiom,(
% 180.41/23.10 (! [X11] :(? [Y21] :(! [X12] :( ( id(X12,Y21)& r2(X11,X12) )| ( ~ r2(X11,X12)& ~ id(X12,Y21) ) ) )))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f3,axiom,(
% 180.41/23.10 (! [X13,X14] :(? [Y22] :(! [X15] :( ( id(X15,Y22)& r3(X13,X14,X15) )| ( ~ r3(X13,X14,X15)& ~ id(X15,Y22) ) ) )))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f5,axiom,(
% 180.41/23.10 (! [X20] : id(X20,X20) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f6,axiom,(
% 180.41/23.10 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f7,axiom,(
% 180.41/23.10 (! [X23,X24,X25] :( ~ id(X23,X24)| id(X23,X25)| ~ id(X24,X25) ) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f8,axiom,(
% 180.41/23.10 (! [X26,X27] :( ~ id(X26,X27)| ( ~ r1(X26)& ~ r1(X27) )| ( r1(X26)& r1(X27) ) ) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f9,axiom,(
% 180.41/23.10 (! [X28,X29,X30,X31] :( ~ id(X28,X30)| ~ id(X29,X31)| ( ~ r2(X28,X29)& ~ r2(X30,X31) )| ( r2(X28,X29)& r2(X30,X31) ) ) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f12,axiom,(
% 180.41/23.10 (! [X1,X8] :(? [Y4] :( (? [Y5] :( id(Y5,Y4)& (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ) )))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f15,axiom,(
% 180.41/23.10 (! [X4] :(? [Y9] :( id(Y9,X4)& (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ) )) ))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f16,axiom,(
% 180.41/23.10 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f17,axiom,(
% 180.41/23.10 (! [X6] :( (? [Y19] :( id(X6,Y19)& r1(Y19) ))| (? [Y1,Y11] :( id(X6,Y11)& r2(Y1,Y11) ) )) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f18,axiom,(
% 180.41/23.10 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f19,conjecture,(
% 180.41/23.10 (? [Y1] :( (? [Y2] :( (? [Y4] :( r2(Y4,Y2)& (? [Y6] :( r1(Y6)& r2(Y6,Y4) ) )))& (? [Y7] :( r1(Y7)& r3(Y7,Y2,Y1) ) )))& (? [Y3] :( id(Y1,Y3)& (? [Y5] :( r2(Y5,Y3)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )) )) )),
% 180.41/23.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 180.41/23.10 fof(f20,negated_conjecture,(
% 180.41/23.10 ~((? [Y1] :( (? [Y2] :( (? [Y4] :( r2(Y4,Y2)& (? [Y6] :( r1(Y6)& r2(Y6,Y4) ) )))& (? [Y7] :( r1(Y7)& r3(Y7,Y2,Y1) ) )))& (? [Y3] :( id(Y1,Y3)& (? [Y5] :( r2(Y5,Y3)& (? [Y8] :( r1(Y8)& r2(Y8,Y5) ) )) )) )) ))),
% 180.41/23.10 inference(negated_conjecture,[status(cth)],[f19])).
% 180.41/23.10 fof(f21,plain,(
% 180.41/23.10 ![Y24,X19]: (pd0_0(X19,Y24)=>(id(X19,Y24)&r1(X19)))),
% 180.41/23.10 introduced(predicate_definition,[f1])).
% 180.41/23.10 fof(f22,plain,(
% 180.41/23.10 ?[Y24]: ![X19]: (pd0_0(X19,Y24)|(~r1(X19)&~id(X19,Y24)))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f1,f21])).
% 180.41/23.10 fof(f23,plain,(
% 180.41/23.10 ![X19]: (pd0_0(X19,sk0_0)|(~r1(X19)&~id(X19,sk0_0)))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f22])).
% 180.41/23.10 fof(f24,plain,(
% 180.41/23.10 ![X0]: (pd0_0(X0,sk0_0)|~r1(X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f23])).
% 180.41/23.10 fof(f25,plain,(
% 180.41/23.10 ![X0]: (pd0_0(X0,sk0_0)|~id(X0,sk0_0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f23])).
% 180.41/23.10 fof(f26,plain,(
% 180.41/23.10 ![X11,Y21,X12]: (pd0_1(X12,Y21,X11)=>(id(X12,Y21)&r2(X11,X12)))),
% 180.41/23.10 introduced(predicate_definition,[f2])).
% 180.41/23.10 fof(f27,plain,(
% 180.41/23.10 ![X11]: ?[Y21]: ![X12]: (pd0_1(X12,Y21,X11)|(~r2(X11,X12)&~id(X12,Y21)))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f2,f26])).
% 180.41/23.10 fof(f28,plain,(
% 180.41/23.10 ![X11]: ![X12]: (pd0_1(X12,sk0_1(X11),X11)|(~r2(X11,X12)&~id(X12,sk0_1(X11))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f27])).
% 180.41/23.10 fof(f29,plain,(
% 180.41/23.10 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|~r2(X1,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f28])).
% 180.41/23.10 fof(f30,plain,(
% 180.41/23.10 ![X0,X1]: (pd0_1(X0,sk0_1(X1),X1)|~id(X0,sk0_1(X1)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f28])).
% 180.41/23.10 fof(f31,plain,(
% 180.41/23.10 ![X13,X14,Y22,X15]: (pd0_2(X15,Y22,X14,X13)=>(id(X15,Y22)&r3(X13,X14,X15)))),
% 180.41/23.10 introduced(predicate_definition,[f3])).
% 180.41/23.10 fof(f32,plain,(
% 180.41/23.10 ![X13,X14]: ?[Y22]: ![X15]: (pd0_2(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~id(X15,Y22)))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f3,f31])).
% 180.41/23.10 fof(f33,plain,(
% 180.41/23.10 ![X13,X14]: ![X15]: (pd0_2(X15,sk0_2(X14,X13),X14,X13)|(~r3(X13,X14,X15)&~id(X15,sk0_2(X14,X13))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f32])).
% 180.41/23.10 fof(f34,plain,(
% 180.41/23.10 ![X0,X1,X2]: (pd0_2(X0,sk0_2(X1,X2),X1,X2)|~r3(X2,X1,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f33])).
% 180.41/23.10 fof(f41,plain,(
% 180.41/23.10 ![X0]: (id(X0,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f5])).
% 180.41/23.10 fof(f42,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f6])).
% 180.41/23.10 fof(f43,plain,(
% 180.41/23.10 ![X24,X25]: ((![X23]: (~id(X23,X24)|id(X23,X25)))|~id(X24,X25))),
% 180.41/23.10 inference(miniscoping,[status(esa)],[f7])).
% 180.41/23.10 fof(f44,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~id(X0,X1)|id(X0,X2)|~id(X1,X2))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f43])).
% 180.41/23.10 fof(f45,plain,(
% 180.41/23.10 ![X26,X27]: (pd0_4(X27,X26)=>(~r1(X26)&~r1(X27)))),
% 180.41/23.10 introduced(predicate_definition,[f8])).
% 180.41/23.10 fof(f46,plain,(
% 180.41/23.10 ![X26,X27]: ((~id(X26,X27)|pd0_4(X27,X26))|(r1(X26)&r1(X27)))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f8,f45])).
% 180.41/23.10 fof(f47,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|pd0_4(X1,X0)|r1(X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f46])).
% 180.41/23.10 fof(f48,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|pd0_4(X1,X0)|r1(X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f46])).
% 180.41/23.10 fof(f49,plain,(
% 180.41/23.10 ![X28,X29,X30,X31]: (pd0_5(X31,X30,X29,X28)=>(~r2(X28,X29)&~r2(X30,X31)))),
% 180.41/23.10 introduced(predicate_definition,[f9])).
% 180.41/23.10 fof(f50,plain,(
% 180.41/23.10 ![X28,X29,X30,X31]: (((~id(X28,X30)|~id(X29,X31))|pd0_5(X31,X30,X29,X28))|(r2(X28,X29)&r2(X30,X31)))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f9,f49])).
% 180.41/23.10 fof(f51,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(X2,X3)|pd0_5(X3,X1,X2,X0)|r2(X0,X2))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f50])).
% 180.41/23.10 fof(f52,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(X2,X3)|pd0_5(X3,X1,X2,X0)|r2(X1,X3))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f50])).
% 180.41/23.10 fof(f61,plain,(
% 180.41/23.10 ![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))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f12])).
% 180.41/23.10 fof(f62,plain,(
% 180.41/23.10 ![X0,X1]: (id(sk0_5(X0,X1),sk0_4(X0,X1)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f61])).
% 180.41/23.10 fof(f63,plain,(
% 180.41/23.10 ![X0,X1]: (r2(X0,sk0_6(X0,X1)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f61])).
% 180.41/23.10 fof(f64,plain,(
% 180.41/23.10 ![X0,X1]: (r3(X0,sk0_6(X1,X0),sk0_5(X1,X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f61])).
% 180.41/23.10 fof(f65,plain,(
% 180.41/23.10 ![X0,X1]: (r2(sk0_7(X0,X1),sk0_4(X0,X1)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f61])).
% 180.41/23.10 fof(f66,plain,(
% 180.41/23.10 ![X0,X1]: (r3(X0,X1,sk0_7(X1,X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f61])).
% 180.41/23.10 fof(f74,plain,(
% 180.41/23.10 ![X4]: (id(sk0_12(X4),X4)&(r1(sk0_13(X4))&r3(X4,sk0_13(X4),sk0_12(X4))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f15])).
% 180.41/23.10 fof(f75,plain,(
% 180.41/23.10 ![X0]: (id(sk0_12(X0),X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f74])).
% 180.41/23.10 fof(f76,plain,(
% 180.41/23.10 ![X0]: (r1(sk0_13(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f74])).
% 180.41/23.10 fof(f77,plain,(
% 180.41/23.10 ![X0]: (r3(X0,sk0_13(X0),sk0_12(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f74])).
% 180.41/23.10 fof(f78,plain,(
% 180.41/23.10 ![X5]: ((r1(sk0_15(X5))&r4(X5,sk0_15(X5),sk0_14(X5)))&(id(sk0_14(X5),sk0_16(X5))&r1(sk0_16(X5))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f16])).
% 180.41/23.10 fof(f81,plain,(
% 180.41/23.10 ![X0]: (id(sk0_14(X0),sk0_16(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f78])).
% 180.41/23.10 fof(f82,plain,(
% 180.41/23.10 ![X0]: (r1(sk0_16(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f78])).
% 180.41/23.10 fof(f83,plain,(
% 180.41/23.10 ![X6,Y19]: (pd0_8(Y19,X6)=>(id(X6,Y19)&r1(Y19)))),
% 180.41/23.10 introduced(predicate_definition,[f17])).
% 180.41/23.10 fof(f84,plain,(
% 180.41/23.10 ![X6]: ((?[Y19]: pd0_8(Y19,X6))|(?[Y1,Y11]: (id(X6,Y11)&r2(Y1,Y11))))),
% 180.41/23.10 inference(formula_renaming,[status(thm)],[f17,f83])).
% 180.41/23.10 fof(f85,plain,(
% 180.41/23.10 ![X6]: ((?[Y19]: pd0_8(Y19,X6))|(?[Y11]: (id(X6,Y11)&(?[Y1]: r2(Y1,Y11)))))),
% 180.41/23.10 inference(miniscoping,[status(esa)],[f84])).
% 180.41/23.10 fof(f86,plain,(
% 180.41/23.10 ![X6]: (pd0_8(sk0_17(X6),X6)|(id(X6,sk0_18(X6))&r2(sk0_19(X6),sk0_18(X6))))),
% 180.41/23.10 inference(skolemization,[status(esa)],[f85])).
% 180.41/23.10 fof(f87,plain,(
% 180.41/23.10 ![X0]: (pd0_8(sk0_17(X0),X0)|id(X0,sk0_18(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f86])).
% 180.41/23.10 fof(f88,plain,(
% 180.41/23.10 ![X0]: (pd0_8(sk0_17(X0),X0)|r2(sk0_19(X0),sk0_18(X0)))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f86])).
% 180.41/23.10 fof(f89,plain,(
% 180.41/23.10 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))),
% 180.41/23.10 inference(miniscoping,[status(esa)],[f18])).
% 180.41/23.10 fof(f90,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f89])).
% 180.41/23.10 fof(f91,plain,(
% 180.41/23.10 (![Y1]: ((![Y2]: ((![Y4]: (~r2(Y4,Y2)|(![Y6]: (~r1(Y6)|~r2(Y6,Y4)))))|(![Y7]: (~r1(Y7)|~r3(Y7,Y2,Y1)))))|(![Y3]: (~id(Y1,Y3)|(![Y5]: (~r2(Y5,Y3)|(![Y8]: (~r1(Y8)|~r2(Y8,Y5)))))))))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 180.41/23.10 fof(f92,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X0)|~r1(X3)|~r3(X3,X1,X4)|~id(X4,X5)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f91])).
% 180.41/23.10 fof(f93,plain,(
% 180.41/23.10 ![Y24,X19]: (~pd0_0(X19,Y24)|(id(X19,Y24)&r1(X19)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 180.41/23.10 fof(f94,plain,(
% 180.41/23.10 ![X0,X1]: (~pd0_0(X0,X1)|id(X0,X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f93])).
% 180.41/23.10 fof(f95,plain,(
% 180.41/23.10 ![X0,X1]: (~pd0_0(X0,X1)|r1(X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f93])).
% 180.41/23.10 fof(f96,plain,(
% 180.41/23.10 ![X11,Y21,X12]: (~pd0_1(X12,Y21,X11)|(id(X12,Y21)&r2(X11,X12)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 180.41/23.10 fof(f97,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|id(X0,X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f96])).
% 180.41/23.10 fof(f98,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|r2(X2,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f96])).
% 180.41/23.10 fof(f99,plain,(
% 180.41/23.10 ![X13,X14,Y22,X15]: (~pd0_2(X15,Y22,X14,X13)|(id(X15,Y22)&r3(X13,X14,X15)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 180.41/23.10 fof(f100,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~pd0_2(X0,X1,X2,X3)|id(X0,X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f99])).
% 180.41/23.10 fof(f105,plain,(
% 180.41/23.10 ![X26,X27]: (~pd0_4(X27,X26)|(~r1(X26)&~r1(X27)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 180.41/23.10 fof(f106,plain,(
% 180.41/23.10 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X1))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f105])).
% 180.41/23.10 fof(f107,plain,(
% 180.41/23.10 ![X0,X1]: (~pd0_4(X0,X1)|~r1(X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f105])).
% 180.41/23.10 fof(f108,plain,(
% 180.41/23.10 ![X28,X29,X30,X31]: (~pd0_5(X31,X30,X29,X28)|(~r2(X28,X29)&~r2(X30,X31)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 180.41/23.10 fof(f109,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~pd0_5(X0,X1,X2,X3)|~r2(X3,X2))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f108])).
% 180.41/23.10 fof(f110,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~pd0_5(X0,X1,X2,X3)|~r2(X1,X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f108])).
% 180.41/23.10 fof(f117,plain,(
% 180.41/23.10 ![X6,Y19]: (~pd0_8(Y19,X6)|(id(X6,Y19)&r1(Y19)))),
% 180.41/23.10 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 180.41/23.10 fof(f119,plain,(
% 180.41/23.10 ![X0,X1]: (~pd0_8(X0,X1)|r1(X0))),
% 180.41/23.10 inference(cnf_transformation,[status(esa)],[f117])).
% 180.41/23.10 fof(f122,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,sk0_12(X1))|id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f75,f44])).
% 180.41/23.10 fof(f123,plain,(
% 180.41/23.10 ![X0]: (id(X0,sk0_12(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f75,f42])).
% 180.41/23.10 fof(f124,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|id(X0,sk0_12(X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f123,f44])).
% 180.41/23.10 fof(f126,plain,(
% 180.41/23.10 ![X0]: (id(sk0_12(sk0_12(X0)),X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f122,f75])).
% 180.41/23.10 fof(f130,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,sk0_12(sk0_12(X1)))|id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f126,f44])).
% 180.41/23.10 fof(f136,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|id(sk0_12(X1),X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f124,f42])).
% 180.41/23.10 fof(f137,plain,(
% 180.41/23.10 ![X0,X1]: (~id(sk0_12(X0),X1)|id(sk0_12(X1),X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f136,f122])).
% 180.41/23.10 fof(f162,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,sk0_14(X1))|id(X0,sk0_16(X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f81,f44])).
% 180.41/23.10 fof(f163,plain,(
% 180.41/23.10 ![X0]: (id(sk0_16(X0),sk0_14(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f81,f42])).
% 180.41/23.10 fof(f164,plain,(
% 180.41/23.10 ![X0]: (id(X0,sk0_0)|~r1(X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f94,f24])).
% 180.41/23.10 fof(f165,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,sk0_16(X1))|id(X0,sk0_14(X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f163,f44])).
% 180.41/23.10 fof(f168,plain,(
% 180.41/23.10 ![X0]: (~r1(X0)|id(sk0_0,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f164,f42])).
% 180.41/23.10 fof(f177,plain,(
% 180.41/23.10 spl0_1 <=> r1(sk0_0)),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f179,plain,(
% 180.41/23.10 ~r1(sk0_0)|spl0_1),
% 180.41/23.10 inference(component_clause,[status(thm)],[f177])).
% 180.41/23.10 fof(f187,plain,(
% 180.41/23.10 pd0_0(sk0_0,sk0_0)),
% 180.41/23.10 inference(resolution,[status(thm)],[f25,f41])).
% 180.41/23.10 fof(f210,plain,(
% 180.41/23.10 r1(sk0_0)),
% 180.41/23.10 inference(resolution,[status(thm)],[f187,f95])).
% 180.41/23.10 fof(f211,plain,(
% 180.41/23.10 $false|spl0_1),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f210,f179])).
% 180.41/23.10 fof(f212,plain,(
% 180.41/23.10 spl0_1),
% 180.41/23.10 inference(contradiction_clause,[status(thm)],[f211])).
% 180.41/23.10 fof(f220,plain,(
% 180.41/23.10 ![X0,X1]: (id(sk0_12(X0),X1)|~id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f137,f136])).
% 180.41/23.10 fof(f245,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~id(X0,X1)|~id(X2,sk0_12(X0))|id(X2,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f220,f44])).
% 180.41/23.10 fof(f246,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|id(X1,sk0_12(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f220,f42])).
% 180.41/23.10 fof(f251,plain,(
% 180.41/23.10 ![X0,X1]: (~id(sk0_12(X0),X1)|id(X1,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f246,f130])).
% 180.41/23.10 fof(f284,plain,(
% 180.41/23.10 ![X0]: (id(sk0_0,sk0_14(X0))|~r1(sk0_16(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f165,f168])).
% 180.41/23.10 fof(f285,plain,(
% 180.41/23.10 ![X0]: (id(sk0_0,sk0_14(X0)))),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f284,f82])).
% 180.41/23.10 fof(f293,plain,(
% 180.41/23.10 ![X0]: (id(sk0_0,sk0_16(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f285,f162])).
% 180.41/23.10 fof(f298,plain,(
% 180.41/23.10 ![X0]: (id(sk0_16(X0),sk0_0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f293,f42])).
% 180.41/23.10 fof(f388,plain,(
% 180.41/23.10 spl0_13 <=> ~r1(sk0_16(X0))),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f389,plain,(
% 180.41/23.10 ![X0]: (~r1(sk0_16(X0))|~spl0_13)),
% 180.41/23.10 inference(component_clause,[status(thm)],[f388])).
% 180.41/23.10 fof(f522,plain,(
% 180.41/23.10 ![X0,X1]: (id(X0,sk0_1(X1))|~r2(X1,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f97,f29])).
% 180.41/23.10 fof(f523,plain,(
% 180.41/23.10 ![X0,X1]: (r2(X0,X1)|~id(X1,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f98,f30])).
% 180.41/23.10 fof(f531,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~r2(X0,X1)|~id(X2,X1)|id(X2,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f522,f44])).
% 180.41/23.10 fof(f532,plain,(
% 180.41/23.10 ![X0,X1]: (~r2(X0,X1)|id(sk0_1(X0),X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f522,f42])).
% 180.41/23.10 fof(f537,plain,(
% 180.41/23.10 ![X0,X1]: (r2(X0,sk0_12(X1))|~id(X1,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f523,f220])).
% 180.41/23.10 fof(f540,plain,(
% 180.41/23.10 ![X0]: (r2(X0,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f523,f41])).
% 180.41/23.10 fof(f568,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~r3(X0,X1,X2)|id(X2,sk0_2(X1,X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f34,f100])).
% 180.41/23.10 fof(f578,plain,(
% 180.41/23.10 ![X0,X1]: (~r2(X0,sk0_1(X1))|r2(X1,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f532,f523])).
% 180.41/23.10 fof(f941,plain,(
% 180.41/23.10 spl0_40 <=> ~id(sk0_0,sk0_16(X0))),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f942,plain,(
% 180.41/23.10 ![X0]: (~id(sk0_0,sk0_16(X0))|~spl0_40)),
% 180.41/23.10 inference(component_clause,[status(thm)],[f941])).
% 180.41/23.10 fof(f1154,plain,(
% 180.41/23.10 ![X0]: (pd0_4(X0,sk0_12(X0))|r1(sk0_12(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f47,f75])).
% 180.41/23.10 fof(f1164,plain,(
% 180.41/23.10 ![X0,X1]: (pd0_4(sk0_12(X0),X1)|r1(X1)|~id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f47,f246])).
% 180.41/23.10 fof(f1261,plain,(
% 180.41/23.10 ![X0]: (r1(sk0_12(X0))|~r1(X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1154,f107])).
% 180.41/23.10 fof(f1264,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(X2,X3)|r2(X0,X2)|~r2(X1,X3))),
% 180.41/23.10 inference(resolution,[status(thm)],[f51,f110])).
% 180.41/23.10 fof(f1265,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(X2,X3)|r2(X1,X3)|~r2(X0,X2))),
% 180.41/23.10 inference(resolution,[status(thm)],[f52,f109])).
% 180.41/23.10 fof(f1709,plain,(
% 180.41/23.10 ![X0]: (id(X0,sk0_18(X0))|r1(sk0_17(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f87,f119])).
% 180.41/23.10 fof(f1727,plain,(
% 180.41/23.10 ![X0,X1]: (r1(sk0_17(X0))|~id(X1,X0)|id(X1,sk0_18(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1709,f44])).
% 180.41/23.10 fof(f1744,plain,(
% 180.41/23.10 spl0_85 <=> r1(sk0_17(sk0_0))),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f1745,plain,(
% 180.41/23.10 r1(sk0_17(sk0_0))|~spl0_85),
% 180.41/23.10 inference(component_clause,[status(thm)],[f1744])).
% 180.41/23.10 fof(f1773,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~r3(X0,X1,sk0_12(X2))|id(sk0_2(X1,X0),X2))),
% 180.41/23.10 inference(resolution,[status(thm)],[f568,f251])).
% 180.41/23.10 fof(f1781,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~r3(X0,X1,X2)|id(sk0_2(X1,X0),X2))),
% 180.41/23.10 inference(resolution,[status(thm)],[f568,f42])).
% 180.41/23.10 fof(f1889,plain,(
% 180.41/23.10 spl0_87 <=> id(sk0_0,sk0_17(sk0_0))),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f1890,plain,(
% 180.41/23.10 id(sk0_0,sk0_17(sk0_0))|~spl0_87),
% 180.41/23.10 inference(component_clause,[status(thm)],[f1889])).
% 180.41/23.10 fof(f1891,plain,(
% 180.41/23.10 ~id(sk0_0,sk0_17(sk0_0))|spl0_87),
% 180.41/23.10 inference(component_clause,[status(thm)],[f1889])).
% 180.41/23.10 fof(f1922,plain,(
% 180.41/23.10 ![X0,X1]: (r1(X0)|~id(X1,X0)|~r1(sk0_12(X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1164,f107])).
% 180.41/23.10 fof(f1926,plain,(
% 180.41/23.10 ![X0,X1]: (r1(X0)|~id(X1,X0)|~r1(X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1922,f1261])).
% 180.41/23.10 fof(f2293,plain,(
% 180.41/23.10 id(sk0_17(sk0_0),sk0_0)|~spl0_87),
% 180.41/23.10 inference(resolution,[status(thm)],[f1890,f42])).
% 180.41/23.10 fof(f2825,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~r2(X0,X1)|~id(X2,X1)|r2(X0,sk0_12(X2)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f531,f537])).
% 180.41/23.10 fof(f3044,plain,(
% 180.41/23.10 ![X0,X1]: (id(sk0_4(X0,X1),sk0_5(X0,X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f62,f42])).
% 180.41/23.10 fof(f3045,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sk0_6(X1,X2))|~r1(X3)|~r2(X3,X0)|~r1(X2)|~id(sk0_5(X1,X2),X4)|~r2(X5,X4)|~r1(X6)|~r2(X6,X5))),
% 180.41/23.10 inference(resolution,[status(thm)],[f64,f92])).
% 180.41/23.10 fof(f3179,plain,(
% 180.41/23.10 ~r1(sk0_17(sk0_0))|spl0_87),
% 180.41/23.10 inference(resolution,[status(thm)],[f1891,f168])).
% 180.41/23.10 fof(f3249,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~id(sk0_5(X1,X2),X3)|~r2(X4,X3)|~r1(X5)|~r2(X5,X4))),
% 180.41/23.10 inference(resolution,[status(thm)],[f3045,f63])).
% 180.41/23.10 fof(f3279,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r2(X3,sk0_12(X4))|~r1(X5)|~r2(X5,X3)|~id(X4,sk0_5(X1,X2)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f3249,f246])).
% 180.41/23.10 fof(f3576,plain,(
% 180.41/23.10 ![X0,X1]: (pd0_8(sk0_17(X0),X0)|~id(X1,sk0_18(X0))|~r1(X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f88,f90])).
% 180.41/23.10 fof(f4051,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r2(X3,sk0_12(sk0_4(X1,X2)))|~r1(X4)|~r2(X4,X3))),
% 180.41/23.10 inference(resolution,[status(thm)],[f3279,f3044])).
% 180.41/23.10 fof(f5182,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~id(X0,X1)|id(X2,X1)|~id(X0,X2))),
% 180.41/23.10 inference(resolution,[status(thm)],[f245,f246])).
% 180.41/23.10 fof(f5715,plain,(
% 180.41/23.10 spl0_161 <=> pd0_8(sk0_17(X0),X0)|~r1(sk0_18(X0))),
% 180.41/23.10 introduced(split_symbol_definition)).
% 180.41/23.10 fof(f5716,plain,(
% 180.41/23.10 ![X0]: (pd0_8(sk0_17(X0),X0)|~r1(sk0_18(X0))|~spl0_161)),
% 180.41/23.10 inference(component_clause,[status(thm)],[f5715])).
% 180.41/23.10 fof(f5718,plain,(
% 180.41/23.10 ![X0]: (pd0_8(sk0_17(X0),X0)|~r1(sk0_0)|~r1(sk0_18(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f3576,f168])).
% 180.41/23.10 fof(f5719,plain,(
% 180.41/23.10 spl0_161|~spl0_1),
% 180.41/23.10 inference(split_clause,[status(thm)],[f5718,f5715,f177])).
% 180.41/23.10 fof(f5749,plain,(
% 180.41/23.10 ![X0]: (pd0_8(sk0_17(X0),X0)|~r1(X0)|r1(sk0_17(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f3576,f1709])).
% 180.41/23.10 fof(f5750,plain,(
% 180.41/23.10 ![X0]: (~r1(X0)|r1(sk0_17(X0)))),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f5749,f119])).
% 180.41/23.10 fof(f5769,plain,(
% 180.41/23.10 ~r1(sk0_0)|spl0_87),
% 180.41/23.10 inference(resolution,[status(thm)],[f5750,f3179])).
% 180.41/23.10 fof(f5770,plain,(
% 180.41/23.10 ~spl0_1|spl0_87),
% 180.41/23.10 inference(split_clause,[status(thm)],[f5769,f177,f1889])).
% 180.41/23.10 fof(f6331,plain,(
% 180.41/23.10 ![X0]: (~r1(sk0_18(X0))|r1(sk0_17(X0))|~spl0_161)),
% 180.41/23.10 inference(resolution,[status(thm)],[f5716,f119])).
% 180.41/23.10 fof(f7067,plain,(
% 180.41/23.10 $false|~spl0_13),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f389,f82])).
% 180.41/23.10 fof(f7068,plain,(
% 180.41/23.10 ~spl0_13),
% 180.41/23.10 inference(contradiction_clause,[status(thm)],[f7067])).
% 180.41/23.10 fof(f8494,plain,(
% 180.41/23.10 ![X0,X1,X2]: (~id(X0,X1)|r2(X0,X2)|~r2(X1,X2))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1264,f41])).
% 180.41/23.10 fof(f8495,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~id(X0,sk0_7(X1,X2))|~id(X3,sk0_4(X1,X2))|r2(X0,X3))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1264,f65])).
% 180.41/23.10 fof(f9279,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|r2(X0,sk0_1(X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f8494,f540])).
% 180.41/23.10 fof(f9283,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,X1)|r2(X1,sk0_1(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f9279,f578])).
% 180.41/23.10 fof(f9705,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4]: (~id(X0,X1)|r2(X1,sk0_2(X2,X3))|~r2(X0,X4)|~r3(X3,X2,X4))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1265,f568])).
% 180.41/23.10 fof(f13630,plain,(
% 180.41/23.10 ![X0,X1]: (r1(sk0_17(X0))|~id(X1,X0)|pd0_4(sk0_18(X0),X1)|r1(sk0_18(X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1727,f48])).
% 180.41/23.10 fof(f13631,plain,(
% 180.41/23.10 ![X0,X1]: (r1(sk0_17(X0))|~id(X1,X0)|pd0_4(sk0_18(X0),X1)|~spl0_161)),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f13630,f6331])).
% 180.41/23.10 fof(f16042,plain,(
% 180.41/23.10 ![X0]: (id(sk0_2(sk0_13(X0),X0),X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f1773,f77])).
% 180.41/23.10 fof(f16127,plain,(
% 180.41/23.10 ![X0,X1]: (~id(sk0_2(sk0_13(X0),X0),X1)|id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f16042,f5182])).
% 180.41/23.10 fof(f16280,plain,(
% 180.41/23.10 ![X0,X1]: (id(X0,X1)|~r3(X0,sk0_13(X0),X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f16127,f1781])).
% 180.41/23.10 fof(f16334,plain,(
% 180.41/23.10 ![X0]: (id(X0,sk0_7(sk0_13(X0),X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f16280,f66])).
% 180.41/23.10 fof(f17298,plain,(
% 180.41/23.10 ![X0,X1]: (~r1(X0)|r1(sk0_17(X1))|~id(X0,X1)|~spl0_161)),
% 180.41/23.10 inference(resolution,[status(thm)],[f106,f13631])).
% 180.41/23.10 fof(f19632,plain,(
% 180.41/23.10 ![X0]: (~r1(sk0_16(X0))|r1(sk0_17(sk0_0))|~spl0_161)),
% 180.41/23.10 inference(resolution,[status(thm)],[f17298,f298])).
% 180.41/23.10 fof(f19633,plain,(
% 180.41/23.10 spl0_13|spl0_85|~spl0_161),
% 180.41/23.10 inference(split_clause,[status(thm)],[f19632,f388,f1744,f5715])).
% 180.41/23.10 fof(f32969,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r2(X0,X1)|~id(sk0_4(X2,X3),X1)|~r1(X4)|~r2(X4,X2)|~r1(X3)|~r1(X5)|~r2(X5,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f2825,f4051])).
% 180.41/23.10 fof(f36160,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r2(X0,sk0_1(X1))|~r1(X2)|~r2(X2,X3)|~r1(X4)|~r1(X5)|~r2(X5,X0)|~r2(X1,sk0_4(X3,X4)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f32969,f522])).
% 180.41/23.10 fof(f36356,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4]: (~r2(X0,sk0_1(sk0_7(X1,X2)))|~r1(X3)|~r2(X3,X1)|~r1(X2)|~r1(X4)|~r2(X4,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f36160,f65])).
% 180.41/23.10 fof(f36357,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r1(X3)|~r2(X3,X4)|~id(sk0_7(X1,X2),X4))),
% 180.41/23.10 inference(resolution,[status(thm)],[f36356,f9283])).
% 180.41/23.10 fof(f38663,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r1(X3)|~r2(X3,sk0_2(X4,X5))|~r3(X5,X4,sk0_7(X1,X2)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f36357,f568])).
% 180.41/23.10 fof(f43444,plain,(
% 180.41/23.10 $false|~spl0_40),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f942,f293])).
% 180.41/23.10 fof(f43445,plain,(
% 180.41/23.10 ~spl0_40),
% 180.41/23.10 inference(contradiction_clause,[status(thm)],[f43444])).
% 180.41/23.10 fof(f44994,plain,(
% 180.41/23.10 ![X0,X1]: (~id(X0,sk0_4(sk0_13(X1),X1))|r2(X1,X0))),
% 180.41/23.10 inference(resolution,[status(thm)],[f8495,f16334])).
% 180.41/23.10 fof(f47613,plain,(
% 180.41/23.10 ![X0]: (r2(X0,sk0_5(sk0_13(X0),X0)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f44994,f62])).
% 180.41/23.10 fof(f50334,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r1(X3)|~r2(X3,sk0_2(X1,X2)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f38663,f66])).
% 180.41/23.10 fof(f50335,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X0,X1)|~r1(X2)|~r1(X3)|~id(X4,X3)|~r2(X4,X5)|~r3(X2,X1,X5))),
% 180.41/23.10 inference(resolution,[status(thm)],[f50334,f9705])).
% 180.41/23.10 fof(f50961,plain,(
% 180.41/23.10 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r2(X0,sk0_6(X1,X2))|~r1(X2)|~r1(X3)|~id(X4,X3)|~r2(X4,sk0_5(X1,X2)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f50335,f64])).
% 180.41/23.10 fof(f51016,plain,(
% 180.41/23.10 ![X0,X1,X2,X3]: (~r1(X0)|~r1(X1)|~r1(X2)|~id(X3,X2)|~r2(X3,sk0_5(X0,X1)))),
% 180.41/23.10 inference(resolution,[status(thm)],[f50961,f63])).
% 180.41/23.10 fof(f52168,plain,(
% 180.41/23.10 ![X0,X1]: (~r1(sk0_13(X0))|~r1(X0)|~r1(X1)|~id(X0,X1))),
% 180.41/23.10 inference(resolution,[status(thm)],[f51016,f47613])).
% 180.41/23.10 fof(f52169,plain,(
% 180.41/23.10 ![X0,X1]: (~r1(sk0_13(X0))|~r1(X0)|~id(X0,X1))),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f52168,f1926])).
% 180.41/23.10 fof(f52170,plain,(
% 180.41/23.10 ![X0,X1]: (~r1(X0)|~id(X0,X1))),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f52169,f76])).
% 180.41/23.10 fof(f52231,plain,(
% 180.41/23.10 ~r1(sk0_17(sk0_0))|~spl0_87),
% 180.41/23.10 inference(resolution,[status(thm)],[f52170,f2293])).
% 180.41/23.10 fof(f52232,plain,(
% 180.41/23.10 $false|~spl0_85|~spl0_87),
% 180.41/23.10 inference(forward_subsumption_resolution,[status(thm)],[f52231,f1745])).
% 180.41/23.10 fof(f52233,plain,(
% 180.41/23.10 ~spl0_85|~spl0_87),
% 180.41/23.10 inference(contradiction_clause,[status(thm)],[f52232])).
% 180.41/23.10 fof(f52234,plain,(
% 180.41/23.15 $false),
% 180.41/23.15 inference(sat_refutation,[status(thm)],[f212,f5719,f5770,f7068,f19633,f43445,f52233])).
% 180.41/23.15 % SZS output end CNFRefutation for theBenchmark.p
% 181.02/23.21 % Elapsed time: 22.852414 seconds
% 181.02/23.21 % CPU time: 180.942483 seconds
% 181.02/23.21 % Total memory used: 411.631 MB
% 181.02/23.21 % Net memory used: 361.577 MB
%------------------------------------------------------------------------------