%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN057+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 : n013.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 01:57:23 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN057+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
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:22:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,conjecture,(
% 0.13/0.38 (? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y4] :( r2(Y4,Y3)& (? [Y6] :( r2(Y6,Y4)& (? [Y8] :( r1(Y8)& r2(Y8,Y6) ) )) )) )) )))& (? [Y5] :( r3(Y5,Y5,Y1)& (? [Y7] :( r2(Y7,Y5)& (? [Y9] :( r1(Y9)& r2(Y9,Y7) ) )) )) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 ~((? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y4] :( r2(Y4,Y3)& (? [Y6] :( r2(Y6,Y4)& (? [Y8] :( r1(Y8)& r2(Y8,Y6) ) )) )) )) )))& (? [Y5] :( r3(Y5,Y5,Y1)& (? [Y7] :( r2(Y7,Y5)& (? [Y9] :( r1(Y9)& r2(Y9,Y7) ) )) )) )) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f12])).
% 0.13/0.38 fof(f14,definition,(
% 0.13/0.38 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f1,f14])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0]: (sP0_prd(X0,sK0_skl)|r1(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0]: (sP0_prd(X0,sK0_skl)|X0=sK0_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f19,definition,(
% 0.13/0.38 ![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)<=>(~r2(X11,X12)&~X12=Y21))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X11]: ?[Y21]: ![X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f2,f19])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X11]: ![X12]: (sP1_prd(X12,sK1_skl(X11),X11)|(r2(X11,X12)&X12=sK1_skl(X11)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y21,sK1_skl(X11))],[f20])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|r2(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|X0=sK1_skl(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f24,definition,(
% 0.13/0.38 ![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)<=>(~r3(X13,X14,X15)&~X15=Y22))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X13,X14]: ?[Y22]: ![X15]: (sP2_prd(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 0.13/0.38 inference(formula_renaming,[status(thm)],[f3,f24])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X13,X14]: ![X15]: (sP2_prd(X15,sK2_skl(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sK2_skl(X14,X13)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y22,sK2_skl(X14,X13))],[f25])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1,X2]: (sP2_prd(X0,sK2_skl(X1,X2),X1,X2)|X0=sK2_skl(X1,X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![X1,X8]: (((r2(X8,sK6_skl(X8,X1))&r3(X1,sK6_skl(X8,X1),sK5_skl(X8,X1)))&sK5_skl(X8,X1)=sK4_skl(X8,X1))&(r2(sK7_skl(X8,X1),sK4_skl(X8,X1))&r3(X1,X8,sK7_skl(X8,X1))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y4,sK4_skl(X8,X1)),skolemize(Y5,sK5_skl(X8,X1)),skolemize(Y15,sK6_skl(X8,X1)),skolemize(Y7,sK7_skl(X8,X1))],[f5])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0,X1]: (r2(X0,sK6_skl(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0,X1]: (r3(X0,sK6_skl(X1,X0),sK5_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1]: (sK5_skl(X0,X1)=sK4_skl(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ![X0,X1]: (r2(sK7_skl(X0,X1),sK4_skl(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 ![X0,X1]: (r3(X0,X1,sK7_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X4]: ((r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4)))&sK12_skl(X4)=X4)),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f8])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0]: (r1(sK13_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 ![X0]: (sK12_skl(X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 (![Y1]: ((![Y2]: (~Y1=Y2|(![Y3]: (~r2(Y3,Y2)|(![Y4]: (~r2(Y4,Y3)|(![Y6]: (~r2(Y6,Y4)|(![Y8]: (~r1(Y8)|~r2(Y8,Y6)))))))))))|(![Y5]: (~r3(Y5,Y5,Y1)|(![Y7]: (~r2(Y7,Y5)|(![Y9]: (~r1(Y9)|~r2(Y9,Y7)))))))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~X0=X1|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r1(X5)|~r2(X5,X4)|~r3(X6,X6,X0)|~r2(X7,X6)|~r1(X8)|~r2(X8,X7))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f64])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f66])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|~r1(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|~X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ![X11,Y21,X12]: ((~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))&(sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 (![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f71])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~r2(X2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 (![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f76])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (~sP2_prd(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f77])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3)|~r3(X5,X5,X1)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f65])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 ![X0]: (~sP0_prd(X0,X0))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 0.13/0.39 fof(f95,plain,(
% 0.13/0.39 ![X0,X1]: (~sP1_prd(X0,X0,X1))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f74])).
% 0.13/0.39 fof(f99,plain,(
% 0.13/0.39 r1(sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f94])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ![X0]: (X0=sK0_skl|~r1(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f68])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 ![X0]: (sK13_skl(X0)=sK0_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f112,f48])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 ![X0]: (r2(X0,sK1_skl(X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f22,f95])).
% 0.13/0.39 fof(f138,plain,(
% 0.13/0.39 ![X0]: (r3(X0,sK0_skl,sK12_skl(X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f116,f49])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 ![X0]: (r3(X0,sK0_skl,X0))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f50,f138])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ![X0,X1]: (~r2(X0,X1)|X1=sK1_skl(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f73,f23])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 ![X0,X1]: (sK6_skl(X0,X1)=sK1_skl(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f154,f35])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 ![X0,X1]: (r2(sK7_skl(X0,X1),sK5_skl(X0,X1)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f37,f38])).
% 0.13/0.39 fof(f166,plain,(
% 0.13/0.39 ![X0,X1]: (sK5_skl(X0,X1)=sK1_skl(sK7_skl(X0,X1)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f165,f154])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ![X0,X1]: (r3(X0,sK1_skl(X1),sK5_skl(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f158,f36])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5,X6]: (~r2(X0,sK5_skl(X1,sK1_skl(X1)))|~r2(X2,X0)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3)|~r2(X5,sK1_skl(X1))|~r1(X6)|~r2(X6,X5))),
% 0.13/0.39 inference(resolution,[status(thm)],[f200,f93])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~r2(X0,sK7_skl(X1,sK1_skl(X1)))|~r2(X2,X0)|~r1(X3)|~r2(X3,X2)|~r2(X4,sK1_skl(X1))|~r1(X5)|~r2(X5,X4))),
% 0.13/0.39 inference(resolution,[status(thm)],[f201,f165])).
% 0.13/0.39 fof(f253,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~r3(X0,X1,X2)|X2=sK2_skl(X1,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f78,f28])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 ![X0,X1]: (sK5_skl(X0,X1)=sK2_skl(sK1_skl(X0),X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f253,f200])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 ![X0]: (X0=sK2_skl(sK0_skl,X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f253,f139])).
% 0.13/0.39 fof(f278,plain,(
% 0.13/0.39 ![X0,X1]: (sK7_skl(X0,X1)=sK2_skl(X0,X1))),
% 0.13/0.39 inference(resolution,[status(thm)],[f253,f39])).
% 0.13/0.39 fof(f285,plain,(
% 0.13/0.39 ![X0]: (X0=sK7_skl(sK0_skl,X0))),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f278,f276])).
% 0.13/0.39 fof(f293,plain,(
% 0.13/0.39 ![X0]: (sK5_skl(sK0_skl,X0)=sK1_skl(X0))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f285,f166])).
% 0.13/0.39 fof(f322,plain,(
% 0.13/0.39 ![X0,X1]: (sK5_skl(X0,X1)=sK7_skl(sK1_skl(X0),X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f278,f275])).
% 0.13/0.39 fof(f324,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~r2(X0,sK5_skl(X1,sK1_skl(sK1_skl(X1))))|~r2(X2,X0)|~r1(X3)|~r2(X3,X2)|~r2(X4,sK1_skl(sK1_skl(X1)))|~r1(X5)|~r2(X5,X4))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f322,f204])).
% 0.13/0.39 fof(f343,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (~r2(X0,sK1_skl(sK1_skl(sK1_skl(sK0_skl))))|~r2(X1,X0)|~r1(X2)|~r2(X2,X1)|~r2(X3,sK1_skl(sK1_skl(sK0_skl)))|~r1(X4)|~r2(X4,X3))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f293,f324])).
% 0.13/0.39 fof(f345,definition,(
% 0.13/0.39 ![X0,X1,X2]: (sQ10_spl <=> (~r2(X0,sK1_skl(sK1_skl(sK1_skl(sK0_skl))))|~r2(X1,X0)|~r1(X2)|~r2(X2,X1)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f346,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~r2(X0,sK1_skl(sK1_skl(sK1_skl(sK0_skl))))|~r2(X1,X0)|~r1(X2)|~r2(X2,X1)|~sQ10_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f345])).
% 0.13/0.39 fof(f348,definition,(
% 0.13/0.39 ![X3,X4]: (sQ11_spl <=> (~r2(X3,sK1_skl(sK1_skl(sK0_skl)))|~r1(X4)|~r2(X4,X3)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f349,plain,(
% 0.13/0.39 ![X0,X1]: (~r2(X0,sK1_skl(sK1_skl(sK0_skl)))|~r1(X1)|~r2(X1,X0)|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f348])).
% 0.13/0.39 fof(f351,plain,(
% 0.13/0.39 sQ10_spl|sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f343,f345,f348])).
% 0.13/0.39 fof(f360,plain,(
% 0.13/0.39 ![X0]: (~r1(X0)|~r2(X0,sK1_skl(sK0_skl))|~sQ11_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f349,f123])).
% 0.13/0.39 fof(f361,plain,(
% 0.13/0.39 ~r1(sK0_skl)|~sQ11_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f360,f123])).
% 0.13/0.39 fof(f362,plain,(
% 0.13/0.39 $false|~sQ11_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f361,f99])).
% 0.13/0.39 fof(f363,plain,(
% 0.13/0.39 ~sQ11_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f362])).
% 0.13/0.39 fof(f364,plain,(
% 0.13/0.39 ![X0,X1]: (~r2(X0,sK1_skl(sK1_skl(sK0_skl)))|~r1(X1)|~r2(X1,X0)|~sQ10_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f346,f123])).
% 0.13/0.39 fof(f365,plain,(
% 0.13/0.39 sQ11_spl|~sQ10_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f364,f348,f345])).
% 0.13/0.40 fof(f366,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f351,f363,f365])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052905 seconds
% 0.13/0.41 % CPU time: 0.168700 seconds
% 0.13/0.41 % Total memory used: 80.688 MB
% 0.13/0.41 % Net memory used: 80.505 MB
%------------------------------------------------------------------------------