%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN087+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:28 PM UTC 2026
% Result : Theorem 26.13s 3.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN087+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:30:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 26.13/3.74 % Refutation found
% 26.13/3.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.13/3.74 % SZS output start CNFRefutation for theBenchmark
% 26.13/3.74 fof(f1,axiom,(
% 26.13/3.74 (? [Y24] :(! [X19] :( ( id(X19,Y24)& r1(X19) )| ( ~ r1(X19)& ~ id(X19,Y24) ) ) ))),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f3,axiom,(
% 26.13/3.74 (! [X13,X14] :(? [Y22] :(! [X15] :( ( id(X15,Y22)& r3(X13,X14,X15) )| ( ~ r3(X13,X14,X15)& ~ id(X15,Y22) ) ) )))),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f5,axiom,(
% 26.13/3.74 (! [X20] : id(X20,X20) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f6,axiom,(
% 26.13/3.74 (! [X21,X22] :( ~ id(X21,X22)| id(X22,X21) ) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f7,axiom,(
% 26.13/3.74 (! [X23,X24,X25] :( ~ id(X23,X24)| id(X23,X25)| ~ id(X24,X25) ) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f8,axiom,(
% 26.13/3.74 (! [X26,X27] :( ~ id(X26,X27)| ( ~ r1(X26)& ~ r1(X27) )| ( r1(X26)& r1(X27) ) ) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f11,axiom,(
% 26.13/3.74 (! [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) ) ) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f15,axiom,(
% 26.13/3.74 (! [X4] :(? [Y9] :( id(Y9,X4)& (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ) )) ))),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f16,axiom,(
% 26.13/3.74 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( id(Y8,Y18)& r1(Y18) ) )) ))),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f19,conjecture,(
% 26.13/3.74 (? [Y1] :( (? [Y2] :( r1(Y2)& r4(Y2,Y2,Y1) ))& (? [Y3] :( id(Y1,Y3)& r1(Y3) ) )) )),
% 26.13/3.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 26.13/3.74 fof(f20,negated_conjecture,(
% 26.13/3.74 ~((? [Y1] :( (? [Y2] :( r1(Y2)& r4(Y2,Y2,Y1) ))& (? [Y3] :( id(Y1,Y3)& r1(Y3) ) )) ))),
% 26.13/3.74 inference(negated_conjecture,[status(cth)],[f19])).
% 26.13/3.74 fof(f21,definition,(
% 26.13/3.74 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(id(X19,Y24)&r1(X19)))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 26.13/3.74 fof(f22,plain,(
% 26.13/3.74 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(~r1(X19)&~id(X19,Y24)))),
% 26.13/3.74 inference(formula_renaming,[status(thm)],[f1,f21])).
% 26.13/3.74 fof(f23,plain,(
% 26.13/3.74 ![X19]: (sP0_prd(X19,sK0_skl)|(~r1(X19)&~id(X19,sK0_skl)))),
% 26.13/3.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f22])).
% 26.13/3.74 fof(f24,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(X0,sK0_skl)|~r1(X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f23])).
% 26.13/3.74 fof(f25,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(X0,sK0_skl)|~id(X0,sK0_skl))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f23])).
% 26.13/3.74 fof(f31,definition,(
% 26.13/3.74 ![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)<=>(id(X15,Y22)&r3(X13,X14,X15)))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 26.13/3.74 fof(f32,plain,(
% 26.13/3.74 ![X13,X14]: ?[Y22]: ![X15]: (sP2_prd(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~id(X15,Y22)))),
% 26.13/3.74 inference(formula_renaming,[status(thm)],[f3,f31])).
% 26.13/3.74 fof(f33,plain,(
% 26.13/3.74 ![X13,X14]: ![X15]: (sP2_prd(X15,sK2_skl(X14,X13),X14,X13)|(~r3(X13,X14,X15)&~id(X15,sK2_skl(X14,X13))))),
% 26.13/3.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y22,sK2_skl(X14,X13))],[f32])).
% 26.13/3.74 fof(f34,plain,(
% 26.13/3.74 ![X0,X1,X2]: (sP2_prd(X0,sK2_skl(X1,X2),X1,X2)|~r3(X2,X1,X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f33])).
% 26.13/3.74 fof(f41,plain,(
% 26.13/3.74 ![X0]: (id(X0,X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f5])).
% 26.13/3.74 fof(f42,plain,(
% 26.13/3.74 ![X0,X1]: (~id(X0,X1)|id(X1,X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f6])).
% 26.13/3.74 fof(f43,plain,(
% 26.13/3.74 ![X24,X25]: ((![X23]: (~id(X23,X24)|id(X23,X25)))|~id(X24,X25))),
% 26.13/3.74 inference(miniscoping,[status(thm)],[f7])).
% 26.13/3.74 fof(f44,plain,(
% 26.13/3.74 ![X0,X1,X2]: (~id(X0,X1)|id(X0,X2)|~id(X1,X2))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f43])).
% 26.13/3.74 fof(f45,definition,(
% 26.13/3.74 ![X26,X27]: (sP4_prd(X27,X26)<=>(~r1(X26)&~r1(X27)))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 26.13/3.74 fof(f46,plain,(
% 26.13/3.74 ![X26,X27]: ((~id(X26,X27)|sP4_prd(X27,X26))|(r1(X26)&r1(X27)))),
% 26.13/3.74 inference(formula_renaming,[status(thm)],[f8,f45])).
% 26.13/3.74 fof(f47,plain,(
% 26.13/3.74 ![X0,X1]: (~id(X0,X1)|sP4_prd(X1,X0)|r1(X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f46])).
% 26.13/3.74 fof(f48,plain,(
% 26.13/3.74 ![X0,X1]: (~id(X0,X1)|sP4_prd(X1,X0)|r1(X1))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f46])).
% 26.13/3.74 fof(f57,definition,(
% 26.13/3.74 ![X38,X39,X40,X41,X42,X43]: (sP7_prd(X43,X42,X41,X40,X39,X38)<=>(~r4(X38,X39,X40)&~r4(X41,X42,X43)))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 26.13/3.74 fof(f58,plain,(
% 26.13/3.74 ![X38,X39,X40,X41,X42,X43]: ((((~id(X38,X41)|~id(X39,X42))|~id(X40,X43))|sP7_prd(X43,X42,X41,X40,X39,X38))|(r4(X38,X39,X40)&r4(X41,X42,X43)))),
% 26.13/3.74 inference(formula_renaming,[status(thm)],[f11,f57])).
% 26.13/3.74 fof(f60,plain,(
% 26.13/3.74 ![X0,X1,X2,X3,X4,X5]: (~id(X0,X1)|~id(X2,X3)|~id(X4,X5)|sP7_prd(X5,X3,X1,X4,X2,X0)|r4(X1,X3,X5))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f58])).
% 26.13/3.74 fof(f74,plain,(
% 26.13/3.74 ![X4]: (id(sK12_skl(X4),X4)&(r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4))))),
% 26.13/3.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f15])).
% 26.13/3.74 fof(f75,plain,(
% 26.13/3.74 ![X0]: (id(sK12_skl(X0),X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f74])).
% 26.13/3.74 fof(f77,plain,(
% 26.13/3.74 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f74])).
% 26.13/3.74 fof(f78,plain,(
% 26.13/3.74 ![X5]: ((r1(sK15_skl(X5))&r4(X5,sK15_skl(X5),sK14_skl(X5)))&(id(sK14_skl(X5),sK16_skl(X5))&r1(sK16_skl(X5))))),
% 26.13/3.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(Y8,sK14_skl(X5)),skolemize(Y17,sK15_skl(X5)),skolemize(Y18,sK16_skl(X5))],[f16])).
% 26.13/3.74 fof(f79,plain,(
% 26.13/3.74 ![X0]: (r1(sK15_skl(X0)))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f78])).
% 26.13/3.74 fof(f80,plain,(
% 26.13/3.74 ![X0]: (r4(X0,sK15_skl(X0),sK14_skl(X0)))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f78])).
% 26.13/3.74 fof(f81,plain,(
% 26.13/3.74 ![X0]: (id(sK14_skl(X0),sK16_skl(X0)))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f78])).
% 26.13/3.74 fof(f82,plain,(
% 26.13/3.74 ![X0]: (r1(sK16_skl(X0)))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f78])).
% 26.13/3.74 fof(f91,plain,(
% 26.13/3.74 (![Y1]: ((![Y2]: (~r1(Y2)|~r4(Y2,Y2,Y1)))|(![Y3]: (~id(Y1,Y3)|~r1(Y3)))))),
% 26.13/3.74 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 26.13/3.74 fof(f92,plain,(
% 26.13/3.74 ![X0,X1,X2]: (~r1(X0)|~r4(X0,X0,X1)|~id(X1,X2)|~r1(X2))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f91])).
% 26.13/3.74 fof(f93,plain,(
% 26.13/3.74 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(id(X19,Y24)&r1(X19)))&(sP0_prd(X19,Y24)|(~id(X19,Y24)|~r1(X19))))),
% 26.13/3.74 inference(NNF_transformation,[status(thm)],[f21])).
% 26.13/3.74 fof(f94,plain,(
% 26.13/3.74 (![Y24,X19]: (~sP0_prd(X19,Y24)|(id(X19,Y24)&r1(X19))))&(![Y24,X19]: (sP0_prd(X19,Y24)|(~id(X19,Y24)|~r1(X19))))),
% 26.13/3.74 inference(miniscoping,[status(thm)],[f93])).
% 26.13/3.74 fof(f95,plain,(
% 26.13/3.74 ![X0,X1]: (~sP0_prd(X0,X1)|id(X0,X1))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f94])).
% 26.13/3.74 fof(f96,plain,(
% 26.13/3.74 ![X0,X1]: (~sP0_prd(X0,X1)|r1(X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f94])).
% 26.13/3.74 fof(f97,plain,(
% 26.13/3.74 ![X0,X1]: (sP0_prd(X0,X1)|~id(X0,X1)|~r1(X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f94])).
% 26.13/3.74 fof(f103,plain,(
% 26.13/3.74 ![X13,X14,Y22,X15]: ((~sP2_prd(X15,Y22,X14,X13)|(id(X15,Y22)&r3(X13,X14,X15)))&(sP2_prd(X15,Y22,X14,X13)|(~id(X15,Y22)|~r3(X13,X14,X15))))),
% 26.13/3.74 inference(NNF_transformation,[status(thm)],[f31])).
% 26.13/3.74 fof(f104,plain,(
% 26.13/3.74 (![X13,X14,Y22,X15]: (~sP2_prd(X15,Y22,X14,X13)|(id(X15,Y22)&r3(X13,X14,X15))))&(![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)|(~id(X15,Y22)|~r3(X13,X14,X15))))),
% 26.13/3.74 inference(miniscoping,[status(thm)],[f103])).
% 26.13/3.74 fof(f105,plain,(
% 26.13/3.74 ![X0,X1,X2,X3]: (~sP2_prd(X0,X1,X2,X3)|id(X0,X1))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f104])).
% 26.13/3.74 fof(f113,plain,(
% 26.13/3.74 ![X26,X27]: ((~sP4_prd(X27,X26)|(~r1(X26)&~r1(X27)))&(sP4_prd(X27,X26)|(r1(X26)|r1(X27))))),
% 26.13/3.74 inference(NNF_transformation,[status(thm)],[f45])).
% 26.13/3.74 fof(f114,plain,(
% 26.13/3.74 (![X26,X27]: (~sP4_prd(X27,X26)|(~r1(X26)&~r1(X27))))&(![X26,X27]: (sP4_prd(X27,X26)|(r1(X26)|r1(X27))))),
% 26.13/3.74 inference(miniscoping,[status(thm)],[f113])).
% 26.13/3.74 fof(f115,plain,(
% 26.13/3.74 ![X0,X1]: (~sP4_prd(X0,X1)|~r1(X1))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f114])).
% 26.13/3.74 fof(f116,plain,(
% 26.13/3.74 ![X0,X1]: (~sP4_prd(X0,X1)|~r1(X0))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f114])).
% 26.13/3.74 fof(f128,plain,(
% 26.13/3.74 ![X38,X39,X40,X41,X42,X43]: ((~sP7_prd(X43,X42,X41,X40,X39,X38)|(~r4(X38,X39,X40)&~r4(X41,X42,X43)))&(sP7_prd(X43,X42,X41,X40,X39,X38)|(r4(X38,X39,X40)|r4(X41,X42,X43))))),
% 26.13/3.74 inference(NNF_transformation,[status(thm)],[f57])).
% 26.13/3.74 fof(f129,plain,(
% 26.13/3.74 (![X38,X39,X40,X41,X42,X43]: (~sP7_prd(X43,X42,X41,X40,X39,X38)|(~r4(X38,X39,X40)&~r4(X41,X42,X43))))&(![X38,X39,X40,X41,X42,X43]: (sP7_prd(X43,X42,X41,X40,X39,X38)|(r4(X38,X39,X40)|r4(X41,X42,X43))))),
% 26.13/3.74 inference(miniscoping,[status(thm)],[f128])).
% 26.13/3.74 fof(f130,plain,(
% 26.13/3.74 ![X0,X1,X2,X3,X4,X5]: (~sP7_prd(X0,X1,X2,X3,X4,X5)|~r4(X5,X4,X3))),
% 26.13/3.74 inference(cnf_transformation,[status(thm)],[f129])).
% 26.13/3.74 fof(f141,plain,(
% 26.13/3.74 ![X0,X1]: (sP0_prd(X0,sK0_skl)|~id(X0,X1)|~id(X1,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f25,f44])).
% 26.13/3.74 fof(f143,plain,(
% 26.13/3.74 sP0_prd(sK0_skl,sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f25,f41])).
% 26.13/3.74 fof(f145,plain,(
% 26.13/3.74 r1(sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f96,f143])).
% 26.13/3.74 fof(f147,plain,(
% 26.13/3.74 ![X0,X1]: (~r1(X0)|~r4(X0,X0,X1)|~id(X1,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f145,f92])).
% 26.13/3.74 fof(f151,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(X0,sK0_skl)|~id(X0,sK12_skl(sK0_skl)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f141,f75])).
% 26.13/3.74 fof(f158,plain,(
% 26.13/3.74 sP0_prd(sK12_skl(sK12_skl(sK0_skl)),sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f151,f75])).
% 26.13/3.74 fof(f182,plain,(
% 26.13/3.74 id(sK12_skl(sK12_skl(sK0_skl)),sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f95,f158])).
% 26.13/3.74 fof(f185,plain,(
% 26.13/3.74 ![X0]: (id(X0,sK0_skl)|~r1(X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f95,f24])).
% 26.13/3.74 fof(f189,plain,(
% 26.13/3.74 ![X0]: (id(sK16_skl(X0),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f185,f82])).
% 26.13/3.74 fof(f190,plain,(
% 26.13/3.74 ![X0]: (id(sK15_skl(X0),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f185,f79])).
% 26.13/3.74 fof(f193,plain,(
% 26.13/3.74 ![X0,X1]: (sP0_prd(X0,sK0_skl)|~id(X0,sK16_skl(X1)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f189,f141])).
% 26.13/3.74 fof(f209,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(sK14_skl(X0),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f193,f81])).
% 26.13/3.74 fof(f214,plain,(
% 26.13/3.74 ![X0]: (id(sK14_skl(X0),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f209,f95])).
% 26.13/3.74 fof(f235,plain,(
% 26.13/3.74 ![X0]: (sP2_prd(sK12_skl(X0),sK2_skl(sK13_skl(X0),X0),sK13_skl(X0),X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f77,f34])).
% 26.13/3.74 fof(f243,plain,(
% 26.13/3.74 sP4_prd(sK0_skl,sK12_skl(sK12_skl(sK0_skl)))|r1(sK12_skl(sK12_skl(sK0_skl)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f47,f182])).
% 26.13/3.74 fof(f245,plain,(
% 26.13/3.74 ![X0,X1,X2]: (sP4_prd(X0,X1)|r1(X1)|~id(X1,X2)|~id(X2,X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f47,f44])).
% 26.13/3.74 fof(f248,definition,(
% 26.13/3.74 sQ0_spl <=> (sP4_prd(sK0_skl,sK12_skl(sK12_skl(sK0_skl))))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 26.13/3.74 fof(f249,plain,(
% 26.13/3.74 sP4_prd(sK0_skl,sK12_skl(sK12_skl(sK0_skl)))|~sQ0_spl),
% 26.13/3.74 inference(component_clause,[status(thm)],[f248])).
% 26.13/3.74 fof(f251,definition,(
% 26.13/3.74 sQ1_spl <=> (r1(sK12_skl(sK12_skl(sK0_skl))))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 26.13/3.74 fof(f254,plain,(
% 26.13/3.74 sQ0_spl|sQ1_spl),
% 26.13/3.74 inference(split_clause,[status(thm)],[f243,f248,f251])).
% 26.13/3.74 fof(f262,plain,(
% 26.13/3.74 ![X0,X1,X2]: (sP4_prd(X0,X1)|r1(X0)|~id(X1,X2)|~id(X2,X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f48,f44])).
% 26.13/3.74 fof(f263,plain,(
% 26.13/3.74 ![X0,X1]: (sP4_prd(X0,X1)|r1(X0)|~id(X0,X1))),
% 26.13/3.74 inference(resolution,[status(thm)],[f48,f42])).
% 26.13/3.74 fof(f268,definition,(
% 26.13/3.74 sQ3_spl <=> (r1(sK0_skl))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 26.13/3.74 fof(f309,plain,(
% 26.13/3.74 ![X0,X1,X2]: (r1(X0)|~id(X0,X1)|~id(X1,X2)|~r1(X2))),
% 26.13/3.74 inference(resolution,[status(thm)],[f245,f116])).
% 26.13/3.74 fof(f372,plain,(
% 26.13/3.74 ~r1(sK0_skl)|~sQ0_spl),
% 26.13/3.74 inference(resolution,[status(thm)],[f249,f116])).
% 26.13/3.74 fof(f374,plain,(
% 26.13/3.74 $false|~sQ0_spl),
% 26.13/3.74 inference(forward_subsumption_resolution,[status(thm)],[f372,f145])).
% 26.13/3.74 fof(f375,plain,(
% 26.13/3.74 ~sQ0_spl),
% 26.13/3.74 inference(contradiction_clause,[status(thm)],[f374])).
% 26.13/3.74 fof(f406,plain,(
% 26.13/3.74 ![X0,X1,X2]: (r1(X0)|~id(X1,X2)|~id(X2,X0)|~r1(X1))),
% 26.13/3.74 inference(resolution,[status(thm)],[f262,f115])).
% 26.13/3.74 fof(f418,plain,(
% 26.13/3.74 ![X0]: (sP4_prd(sK12_skl(X0),X0)|r1(sK12_skl(X0)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f263,f75])).
% 26.13/3.74 fof(f662,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(sK0_skl,X0)|~id(sK0_skl,X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f97,f145])).
% 26.13/3.74 fof(f850,plain,(
% 26.13/3.74 ![X0,X1,X2,X3,X4,X5]: (~r4(X0,X1,X2)|~id(X0,X3)|~id(X1,X4)|~id(X2,X5)|r4(X3,X4,X5))),
% 26.13/3.74 inference(resolution,[status(thm)],[f130,f60])).
% 26.13/3.74 fof(f966,plain,(
% 26.13/3.74 ![X0,X1]: (r1(X0)|~id(X0,X1)|~id(X1,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f309,f145])).
% 26.13/3.74 fof(f1209,plain,(
% 26.13/3.74 ![X0]: (sP0_prd(sK0_skl,X0)|~id(X0,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f662,f42])).
% 26.13/3.74 fof(f1556,plain,(
% 26.13/3.74 ![X0,X1]: (r1(X0)|~id(sK0_skl,X1)|~id(X1,X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f406,f145])).
% 26.13/3.74 fof(f1619,plain,(
% 26.13/3.74 ![X0]: (r1(sK12_skl(X0))|~r1(X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f418,f115])).
% 26.13/3.74 fof(f1629,plain,(
% 26.13/3.74 ![X0]: (~r1(X0)|id(sK12_skl(X0),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f1619,f185])).
% 26.13/3.74 fof(f1656,plain,(
% 26.13/3.74 ![X0]: (~r1(X0)|sP0_prd(sK0_skl,sK12_skl(X0)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f1629,f1209])).
% 26.13/3.74 fof(f1684,plain,(
% 26.13/3.74 ![X0]: (~r1(X0)|id(sK0_skl,sK12_skl(X0)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f1656,f95])).
% 26.13/3.74 fof(f1957,plain,(
% 26.13/3.74 ![X0]: (id(sK12_skl(X0),sK2_skl(sK13_skl(X0),X0)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f235,f105])).
% 26.13/3.74 fof(f2371,definition,(
% 26.13/3.74 ![X3]: (sQ78_spl <=> (~id(X3,sK0_skl)))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 26.13/3.74 fof(f2372,plain,(
% 26.13/3.74 ![X0]: (~id(X0,sK0_skl)|~sQ78_spl)),
% 26.13/3.74 inference(component_clause,[status(thm)],[f2371])).
% 26.13/3.74 fof(f2444,plain,(
% 26.13/3.74 ![X0,X1,X2,X3]: (~id(X0,X1)|~id(sK15_skl(X0),X2)|~id(sK14_skl(X0),X3)|r4(X1,X2,X3))),
% 26.13/3.74 inference(resolution,[status(thm)],[f850,f80])).
% 26.13/3.74 fof(f2477,plain,(
% 26.13/3.74 ![X0]: (r1(X0)|~id(X0,sK12_skl(sK12_skl(sK0_skl))))),
% 26.13/3.74 inference(resolution,[status(thm)],[f966,f182])).
% 26.13/3.74 fof(f2481,plain,(
% 26.13/3.74 ![X0]: (r1(X0)|~id(X0,sK12_skl(sK0_skl)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f966,f75])).
% 26.13/3.74 fof(f2706,plain,(
% 26.13/3.74 ![X0]: (r1(X0)|~id(sK12_skl(sK0_skl),X0))),
% 26.13/3.74 inference(resolution,[status(thm)],[f2481,f42])).
% 26.13/3.74 fof(f2812,plain,(
% 26.13/3.74 r1(sK2_skl(sK13_skl(sK0_skl),sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f2706,f1957])).
% 26.13/3.74 fof(f2920,plain,(
% 26.13/3.74 id(sK2_skl(sK13_skl(sK0_skl),sK0_skl),sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f2812,f185])).
% 26.13/3.74 fof(f3794,plain,(
% 26.13/3.74 ![X0,X1]: (r1(X0)|~id(sK12_skl(X1),X0)|~r1(X1))),
% 26.13/3.74 inference(resolution,[status(thm)],[f1556,f1684])).
% 26.13/3.74 fof(f4128,plain,(
% 26.13/3.74 r1(sK12_skl(sK12_skl(sK12_skl(sK0_skl))))),
% 26.13/3.74 inference(resolution,[status(thm)],[f2477,f75])).
% 26.13/3.74 fof(f4139,plain,(
% 26.13/3.74 id(sK12_skl(sK12_skl(sK12_skl(sK0_skl))),sK0_skl)),
% 26.13/3.74 inference(resolution,[status(thm)],[f4128,f185])).
% 26.13/3.74 fof(f4865,plain,(
% 26.13/3.74 ![X0,X1,X2]: (~id(X0,X1)|~id(sK14_skl(X0),X2)|r4(X1,sK0_skl,X2))),
% 26.13/3.74 inference(resolution,[status(thm)],[f2444,f190])).
% 26.13/3.74 fof(f6455,plain,(
% 26.13/3.74 r1(sK0_skl)|~r1(sK12_skl(sK12_skl(sK0_skl)))),
% 26.13/3.74 inference(resolution,[status(thm)],[f4139,f3794])).
% 26.13/3.74 fof(f6470,plain,(
% 26.13/3.74 sQ3_spl|~sQ1_spl),
% 26.13/3.74 inference(split_clause,[status(thm)],[f6455,f268,f251])).
% 26.13/3.74 fof(f6533,definition,(
% 26.13/3.74 sQ238_spl <=> (id(sK0_skl,sK0_skl))),
% 26.13/3.74 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 26.13/3.74 fof(f6535,plain,(
% 26.13/3.74 ~id(sK0_skl,sK0_skl)|sQ238_spl),
% 26.13/3.74 inference(component_clause,[status(thm)],[f6533])).
% 26.13/3.74 fof(f7692,plain,(
% 26.13/3.74 $false|sQ238_spl),
% 26.13/3.74 inference(forward_subsumption_resolution,[status(thm)],[f6535,f41])).
% 26.13/3.74 fof(f7693,plain,(
% 26.13/3.74 sQ238_spl),
% 26.13/3.74 inference(contradiction_clause,[status(thm)],[f7692])).
% 26.13/3.74 fof(f11688,plain,(
% 26.13/3.74 ![X0,X1]: (~id(X0,X1)|r4(X1,sK0_skl,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f4865,f214])).
% 26.13/3.74 fof(f11745,plain,(
% 26.13/3.74 ![X0]: (~id(X0,sK0_skl)|~r1(sK0_skl)|~id(sK0_skl,sK0_skl))),
% 26.13/3.74 inference(resolution,[status(thm)],[f11688,f147])).
% 26.13/3.74 fof(f11772,plain,(
% 26.13/3.74 sQ78_spl|~sQ3_spl|~sQ238_spl),
% 26.13/3.74 inference(split_clause,[status(thm)],[f11745,f2371,f268,f6533])).
% 26.13/3.74 fof(f11783,plain,(
% 26.13/3.74 $false|~sQ78_spl),
% 26.13/3.74 inference(backward_subsumption_resolution,[status(thm)],[f2920,f2372])).
% 26.13/3.74 fof(f11840,plain,(
% 26.13/3.74 ~sQ78_spl),
% 26.13/3.74 inference(contradiction_clause,[status(thm)],[f11783])).
% 26.13/3.74 fof(f11841,plain,(
% 26.13/3.74 $false),
% 26.13/3.74 inference(sat_refutation,[status(thm)],[f254,f375,f6470,f7693,f11772,f11840])).
% 26.13/3.75 % SZS output end CNFRefutation for theBenchmark.p
% 26.13/3.77 % Elapsed time: 3.390164 seconds
% 26.13/3.77 % CPU time: 26.614168 seconds
% 26.13/3.77 % Total memory used: 183.778 MB
% 26.13/3.77 % Net memory used: 141.264 MB
%------------------------------------------------------------------------------