%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN082+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:57:27 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN082+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 03:28:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,axiom,(
% 0.08/0.38 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,axiom,(
% 0.08/0.38 (! [X16,X17] :(? [Y23] :(! [X18] :( ( ~ r4(X16,X17,X18)& X18 != Y23 )| ( r4(X16,X17,X18)& X18 = Y23 ) ) )))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,axiom,(
% 0.08/0.38 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f8,axiom,(
% 0.08/0.38 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f9,axiom,(
% 0.08/0.38 (! [X5] :(? [Y8] :( (? [Y17] :( r1(Y17)& r4(X5,Y17,Y8) ))& (? [Y18] :( r1(Y18)& Y8 = Y18 ) )) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f12,conjecture,(
% 0.08/0.38 (? [Y1,Y2] :( (? [Y3] :( r4(Y1,Y3,Y2)& (? [Y4] :( r1(Y4)& r2(Y4,Y3) ) )))& (? [Y5] :( r1(Y5)& Y2 = Y5 ) )) )),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f13,negated_conjecture,(
% 0.08/0.38 ~((? [Y1,Y2] :( (? [Y3] :( r4(Y1,Y3,Y2)& (? [Y4] :( r1(Y4)& r2(Y4,Y3) ) )))& (? [Y5] :( r1(Y5)& Y2 = Y5 ) )) ))),
% 0.08/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.08/0.38 fof(f14,definition,(
% 0.08/0.38 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.08/0.38 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 ![X0]: (sP0_prd(X0,sK0_skl)|r1(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.38 fof(f18,plain,(
% 0.08/0.38 ![X0]: (sP0_prd(X0,sK0_skl)|X0=sK0_skl)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.38 fof(f19,definition,(
% 0.08/0.38 ![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)<=>(~r2(X11,X12)&~X12=Y21))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ![X11]: ?[Y21]: ![X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 0.08/0.38 inference(formula_renaming,[status(thm)],[f2,f19])).
% 0.08/0.38 fof(f21,plain,(
% 0.08/0.38 ![X11]: ![X12]: (sP1_prd(X12,sK1_skl(X11),X11)|(r2(X11,X12)&X12=sK1_skl(X11)))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y21,sK1_skl(X11))],[f20])).
% 0.08/0.38 fof(f22,plain,(
% 0.08/0.38 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|r2(X1,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.38 fof(f23,plain,(
% 0.08/0.38 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|X0=sK1_skl(X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.38 fof(f24,definition,(
% 0.08/0.38 ![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)<=>(~r3(X13,X14,X15)&~X15=Y22))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.08/0.38 fof(f25,plain,(
% 0.08/0.38 ![X13,X14]: ?[Y22]: ![X15]: (sP2_prd(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 0.08/0.38 inference(formula_renaming,[status(thm)],[f3,f24])).
% 0.08/0.38 fof(f26,plain,(
% 0.08/0.38 ![X13,X14]: ![X15]: (sP2_prd(X15,sK2_skl(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sK2_skl(X14,X13)))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y22,sK2_skl(X14,X13))],[f25])).
% 0.08/0.38 fof(f28,plain,(
% 0.08/0.38 ![X0,X1,X2]: (sP2_prd(X0,sK2_skl(X1,X2),X1,X2)|X0=sK2_skl(X1,X2))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.38 fof(f29,definition,(
% 0.08/0.38 ![X16,X17,Y23,X18]: (sP3_prd(X18,Y23,X17,X16)<=>(~r4(X16,X17,X18)&~X18=Y23))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.08/0.38 fof(f30,plain,(
% 0.08/0.38 ![X16,X17]: ?[Y23]: ![X18]: (sP3_prd(X18,Y23,X17,X16)|(r4(X16,X17,X18)&X18=Y23))),
% 0.08/0.38 inference(formula_renaming,[status(thm)],[f4,f29])).
% 0.08/0.38 fof(f31,plain,(
% 0.08/0.38 ![X16,X17]: ![X18]: (sP3_prd(X18,sK3_skl(X17,X16),X17,X16)|(r4(X16,X17,X18)&X18=sK3_skl(X17,X16)))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y23,sK3_skl(X17,X16))],[f30])).
% 0.08/0.38 fof(f33,plain,(
% 0.08/0.38 ![X0,X1,X2]: (sP3_prd(X0,sK3_skl(X1,X2),X1,X2)|X0=sK3_skl(X1,X2))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.38 fof(f40,plain,(
% 0.08/0.38 ![X2,X9]: (((r2(X9,sK10_skl(X9,X2))&r4(X2,sK10_skl(X9,X2),sK9_skl(X9,X2)))&sK9_skl(X9,X2)=sK8_skl(X9,X2))&(r3(sK11_skl(X9,X2),X2,sK8_skl(X9,X2))&r4(X2,X9,sK11_skl(X9,X2))))),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(Y2,sK8_skl(X9,X2)),skolemize(Y3,sK9_skl(X9,X2)),skolemize(Y14,sK10_skl(X9,X2)),skolemize(Y6,sK11_skl(X9,X2))],[f6])).
% 0.08/0.38 fof(f41,plain,(
% 0.08/0.38 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/0.38 fof(f42,plain,(
% 0.08/0.38 ![X0,X1]: (r4(X0,sK10_skl(X1,X0),sK9_skl(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/0.38 fof(f43,plain,(
% 0.08/0.38 ![X0,X1]: (sK9_skl(X0,X1)=sK8_skl(X0,X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/0.38 fof(f44,plain,(
% 0.08/0.38 ![X0,X1]: (r3(sK11_skl(X0,X1),X1,sK8_skl(X0,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/0.38 fof(f45,plain,(
% 0.08/0.38 ![X0,X1]: (r4(X0,X1,sK11_skl(X1,X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/0.38 fof(f47,plain,(
% 0.08/0.38 ![X4]: ((r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4)))&sK12_skl(X4)=X4)),
% 0.08/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f8])).
% 0.08/0.38 fof(f48,plain,(
% 0.08/0.38 ![X0]: (r1(sK13_skl(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 ![X0]: (sK12_skl(X0)=X0)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/0.38 fof(f51,plain,(
% 0.08/0.38 ![X5]: ((r1(sK15_skl(X5))&r4(X5,sK15_skl(X5),sK14_skl(X5)))&(r1(sK16_skl(X5))&sK14_skl(X5)=sK16_skl(X5)))),
% 0.08/0.38 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))],[f9])).
% 0.08/0.38 fof(f52,plain,(
% 0.08/0.38 ![X0]: (r1(sK15_skl(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f53,plain,(
% 0.08/0.38 ![X0]: (r4(X0,sK15_skl(X0),sK14_skl(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f54,plain,(
% 0.08/0.38 ![X0]: (r1(sK16_skl(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f55,plain,(
% 0.08/0.38 ![X0]: (sK14_skl(X0)=sK16_skl(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f64,plain,(
% 0.08/0.38 (![Y1,Y2]: ((![Y3]: (~r4(Y1,Y3,Y2)|(![Y4]: (~r1(Y4)|~r2(Y4,Y3)))))|(![Y5]: (~r1(Y5)|~Y2=Y5))))),
% 0.08/0.38 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f65,plain,(
% 0.08/0.38 ![Y2]: ((![Y3]: ((![Y1]: ~r4(Y1,Y3,Y2))|(![Y4]: (~r1(Y4)|~r2(Y4,Y3)))))|(![Y5]: (~r1(Y5)|~Y2=Y5)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f64])).
% 0.08/0.38 fof(f66,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (~r4(X0,X1,X2)|~r1(X3)|~r2(X3,X1)|~r1(X4)|~X2=X4)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f65])).
% 0.08/0.38 fof(f67,plain,(
% 0.08/0.38 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f14])).
% 0.08/0.38 fof(f68,plain,(
% 0.08/0.38 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f67])).
% 0.08/0.38 fof(f69,plain,(
% 0.08/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~r1(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/0.38 fof(f70,plain,(
% 0.08/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|~X0=X1)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/0.38 fof(f72,plain,(
% 0.08/0.38 ![X11,Y21,X12]: ((~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))&(sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f19])).
% 0.08/0.38 fof(f73,plain,(
% 0.08/0.38 (![X11,Y21,X12]: (~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21)))&(![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f72])).
% 0.08/0.38 fof(f74,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~r2(X2,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.08/0.38 fof(f75,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~X0=X1)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.08/0.38 fof(f77,plain,(
% 0.08/0.38 ![X13,X14,Y22,X15]: ((~sP2_prd(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22))&(sP2_prd(X15,Y22,X14,X13)|(r3(X13,X14,X15)|X15=Y22)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f24])).
% 0.08/0.38 fof(f78,plain,(
% 0.08/0.38 (![X13,X14,Y22,X15]: (~sP2_prd(X15,Y22,X14,X13)|(~r3(X13,X14,X15)&~X15=Y22)))&(![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)|(r3(X13,X14,X15)|X15=Y22)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f77])).
% 0.08/0.38 fof(f79,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~sP2_prd(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.38 fof(f82,plain,(
% 0.08/0.38 ![X16,X17,Y23,X18]: ((~sP3_prd(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~X18=Y23))&(sP3_prd(X18,Y23,X17,X16)|(r4(X16,X17,X18)|X18=Y23)))),
% 0.08/0.38 inference(NNF_transformation,[status(thm)],[f29])).
% 0.08/0.38 fof(f83,plain,(
% 0.08/0.38 (![X16,X17,Y23,X18]: (~sP3_prd(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~X18=Y23)))&(![X16,X17,Y23,X18]: (sP3_prd(X18,Y23,X17,X16)|(r4(X16,X17,X18)|X18=Y23)))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f82])).
% 0.08/0.38 fof(f84,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~sP3_prd(X0,X1,X2,X3)|~r4(X3,X2,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f83])).
% 0.08/0.38 fof(f94,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (~r4(X0,X1,X2)|~r1(X3)|~r2(X3,X1)|~r1(X2))),
% 0.08/0.38 inference(destructive_equality_resolution,[status(thm)],[f66])).
% 0.08/0.38 fof(f95,plain,(
% 0.08/0.38 ![X0]: (~sP0_prd(X0,X0))),
% 0.08/0.38 inference(destructive_equality_resolution,[status(thm)],[f70])).
% 0.08/0.38 fof(f96,plain,(
% 0.08/0.38 ![X0,X1]: (~sP1_prd(X0,X0,X1))),
% 0.08/0.38 inference(destructive_equality_resolution,[status(thm)],[f75])).
% 0.08/0.38 fof(f100,plain,(
% 0.08/0.38 r1(sK0_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f17,f95])).
% 0.08/0.38 fof(f113,plain,(
% 0.08/0.38 ![X0]: (X0=sK0_skl|~r1(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f18,f69])).
% 0.08/0.38 fof(f115,plain,(
% 0.08/0.38 ![X0]: (sK16_skl(X0)=sK0_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f113,f54])).
% 0.08/0.38 fof(f116,plain,(
% 0.08/0.38 ![X0]: (sK15_skl(X0)=sK0_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f113,f52])).
% 0.08/0.38 fof(f117,plain,(
% 0.08/0.38 ![X0]: (sK13_skl(X0)=sK0_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f113,f48])).
% 0.08/0.38 fof(f119,plain,(
% 0.08/0.38 ![X0]: (sK14_skl(X0)=sK0_skl)),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f115,f55])).
% 0.08/0.38 fof(f123,plain,(
% 0.08/0.38 ![X0]: (r2(X0,sK1_skl(X0)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f22,f96])).
% 0.08/0.38 fof(f137,plain,(
% 0.08/0.38 ![X0]: (r3(X0,sK0_skl,sK12_skl(X0)))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f117,f49])).
% 0.08/0.38 fof(f138,plain,(
% 0.08/0.38 ![X0]: (r3(X0,sK0_skl,X0))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f50,f137])).
% 0.08/0.38 fof(f139,plain,(
% 0.08/0.38 ![X0]: (r4(X0,sK0_skl,sK14_skl(X0)))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f116,f53])).
% 0.08/0.38 fof(f140,plain,(
% 0.08/0.38 ![X0]: (r4(X0,sK0_skl,sK0_skl))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f119,f139])).
% 0.08/0.38 fof(f145,definition,(
% 0.08/0.38 sQ1_spl <=> (r1(sK0_skl))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f147,plain,(
% 0.08/0.38 ~r1(sK0_skl)|sQ1_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f145])).
% 0.08/0.38 fof(f151,plain,(
% 0.08/0.38 ![X0,X1]: (~r2(X0,X1)|X1=sK1_skl(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f74,f23])).
% 0.08/0.38 fof(f154,plain,(
% 0.08/0.38 ![X0,X1]: (sK10_skl(X0,X1)=sK1_skl(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f151,f41])).
% 0.08/0.38 fof(f208,plain,(
% 0.08/0.38 ![X0,X1]: (r4(X0,sK1_skl(X1),sK9_skl(X1,X0)))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f154,f42])).
% 0.08/0.38 fof(f209,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~r1(X0)|~r2(X0,sK1_skl(X1))|~r1(sK9_skl(X1,X2)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f208,f94])).
% 0.08/0.38 fof(f211,plain,(
% 0.08/0.38 ![X0,X1]: (r3(sK11_skl(X0,X1),X1,sK9_skl(X0,X1)))),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f43,f44])).
% 0.08/0.38 fof(f222,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~r3(X0,X1,X2)|X2=sK2_skl(X1,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f79,f28])).
% 0.08/0.38 fof(f226,plain,(
% 0.08/0.38 ![X0]: (X0=sK2_skl(sK0_skl,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f222,f138])).
% 0.08/0.38 fof(f229,plain,(
% 0.08/0.38 ![X0,X1]: (sP2_prd(X0,X1,sK0_skl,X1)|X0=sK2_skl(sK0_skl,X1))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f226,f28])).
% 0.08/0.38 fof(f232,plain,(
% 0.08/0.38 ![X0,X1]: (sP2_prd(X0,X1,sK0_skl,X1)|X0=X1)),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f226,f229])).
% 0.08/0.38 fof(f249,plain,(
% 0.08/0.38 ![X0,X1]: (X0=X1|~r3(X1,sK0_skl,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f232,f79])).
% 0.08/0.38 fof(f268,plain,(
% 0.08/0.38 ![X0]: (sK9_skl(X0,sK0_skl)=sK11_skl(X0,sK0_skl))),
% 0.08/0.38 inference(resolution,[status(thm)],[f249,f211])).
% 0.08/0.38 fof(f292,plain,(
% 0.08/0.38 ![X0,X1]: (~r1(X0)|~r2(X0,sK1_skl(X1))|~r1(sK11_skl(X1,sK0_skl)))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f268,f209])).
% 0.08/0.38 fof(f296,plain,(
% 0.08/0.38 ![X0,X1,X2]: (~r4(X0,X1,X2)|X2=sK3_skl(X1,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f84,f33])).
% 0.08/0.38 fof(f299,plain,(
% 0.08/0.38 ![X0]: (sK0_skl=sK3_skl(sK0_skl,X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f296,f140])).
% 0.08/0.38 fof(f301,plain,(
% 0.08/0.38 ![X0,X1]: (sK11_skl(X0,X1)=sK3_skl(X0,X1))),
% 0.08/0.38 inference(resolution,[status(thm)],[f296,f45])).
% 0.08/0.38 fof(f308,plain,(
% 0.08/0.38 ![X0]: (sK0_skl=sK11_skl(sK0_skl,X0))),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f301,f299])).
% 0.08/0.38 fof(f348,plain,(
% 0.08/0.38 $false|sQ1_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f147,f100])).
% 0.08/0.38 fof(f349,plain,(
% 0.08/0.38 sQ1_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f348])).
% 0.08/0.38 fof(f364,plain,(
% 0.08/0.38 ![X0]: (~r1(X0)|~r2(X0,sK1_skl(sK0_skl))|~r1(sK0_skl))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f308,f292])).
% 0.08/0.38 fof(f368,definition,(
% 0.08/0.38 ![X0]: (sQ6_spl <=> (~r1(X0)|~r2(X0,sK1_skl(sK0_skl))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f369,plain,(
% 0.08/0.38 ![X0]: (~r1(X0)|~r2(X0,sK1_skl(sK0_skl))|~sQ6_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f368])).
% 0.08/0.38 fof(f371,plain,(
% 0.08/0.38 sQ6_spl|~sQ1_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f364,f368,f145])).
% 0.08/0.38 fof(f373,plain,(
% 0.08/0.38 ~r1(sK0_skl)|~sQ6_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f369,f123])).
% 0.08/0.38 fof(f374,plain,(
% 0.08/0.38 ~sQ1_spl|~sQ6_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f373,f145,f368])).
% 0.08/0.38 fof(f375,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f349,f371,f374])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.054451 seconds
% 0.11/0.40 % CPU time: 0.167797 seconds
% 0.11/0.40 % Total memory used: 103.101 MB
% 0.11/0.40 % Net memory used: 102.938 MB
%------------------------------------------------------------------------------