%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUN075+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 : 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 01:57:26 PM UTC 2026
% Result : Theorem 14.30s 2.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN075+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 : n016.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 03:29:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 14.30/2.42 % Refutation found
% 14.30/2.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.30/2.42 % SZS output start CNFRefutation for theBenchmark
% 14.30/2.42 fof(f1,axiom,(
% 14.30/2.42 (? [Y24] :(! [X19] :( ( ~ r1(X19)& X19 != Y24 )| ( r1(X19)& X19 = Y24 ) ) ))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f2,axiom,(
% 14.30/2.42 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& X12 != Y21 )| ( r2(X11,X12)& X12 = Y21 ) ) )))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f3,axiom,(
% 14.30/2.42 (! [X13,X14] :(? [Y22] :(! [X15] :( ( ~ r3(X13,X14,X15)& X15 != Y22 )| ( r3(X13,X14,X15)& X15 = Y22 ) ) )))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f5,axiom,(
% 14.30/2.42 (! [X1,X8] :(? [Y4] :( (? [Y5] :( (? [Y15] :( r2(X8,Y15)& r3(X1,Y15,Y5) ))& Y5 = Y4 ))& (? [Y7] :( r2(Y7,Y4)& r3(X1,X8,Y7) ) )) ))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f6,axiom,(
% 14.30/2.42 (! [X2,X9] :(? [Y2] :( (? [Y3] :( (? [Y14] :( r2(X9,Y14)& r4(X2,Y14,Y3) ))& Y3 = Y2 ))& (? [Y6] :( r3(Y6,X2,Y2)& r4(X2,X9,Y6) ) )) ))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f8,axiom,(
% 14.30/2.42 (! [X4] :(? [Y9] :( (? [Y16] :( r1(Y16)& r3(X4,Y16,Y9) ))& Y9 = X4 ) ))),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f12,conjecture,(
% 14.30/2.42 (? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y4] :( r2(Y4,Y3)& (? [Y6] :( r2(Y6,Y4)& (? [Y8] :( r2(Y8,Y6)& (? [Y10] :( r2(Y10,Y8)& (? [Y12] :( r2(Y12,Y10)& (? [Y14] :( r2(Y14,Y12)& (? [Y17] :( r2(Y17,Y14)& (? [Y20] :( r1(Y20)& r2(Y20,Y17) ) )) )) )) )) )) )) )) )) )))& (? [Y5] :( (? [Y16] :( r3(Y5,Y16,Y1)& (? [Y19] :( r2(Y19,Y16)& (? [Y22] :( r1(Y22)& r2(Y22,Y19) ) )) )))& (? [Y7] :( r2(Y7,Y5)& (? [Y9] :( r2(Y9,Y7)& (? [Y11] :( r2(Y11,Y9)& (? [Y13] :( r2(Y13,Y11)& (? [Y15] :( r2(Y15,Y13)& (? [Y18] :( r2(Y18,Y15)& (? [Y21] :( r1(Y21)& r2(Y21,Y18) ) )) )) )) )) )) )) )) )) )),
% 14.30/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.30/2.42 fof(f13,negated_conjecture,(
% 14.30/2.42 ~((? [Y1] :( (? [Y2] :( Y1 = Y2& (? [Y3] :( r2(Y3,Y2)& (? [Y4] :( r2(Y4,Y3)& (? [Y6] :( r2(Y6,Y4)& (? [Y8] :( r2(Y8,Y6)& (? [Y10] :( r2(Y10,Y8)& (? [Y12] :( r2(Y12,Y10)& (? [Y14] :( r2(Y14,Y12)& (? [Y17] :( r2(Y17,Y14)& (? [Y20] :( r1(Y20)& r2(Y20,Y17) ) )) )) )) )) )) )) )) )) )))& (? [Y5] :( (? [Y16] :( r3(Y5,Y16,Y1)& (? [Y19] :( r2(Y19,Y16)& (? [Y22] :( r1(Y22)& r2(Y22,Y19) ) )) )))& (? [Y7] :( r2(Y7,Y5)& (? [Y9] :( r2(Y9,Y7)& (? [Y11] :( r2(Y11,Y9)& (? [Y13] :( r2(Y13,Y11)& (? [Y15] :( r2(Y15,Y13)& (? [Y18] :( r2(Y18,Y15)& (? [Y21] :( r1(Y21)& r2(Y21,Y18) ) )) )) )) )) )) )) )) )) ))),
% 14.30/2.42 inference(negated_conjecture,[status(cth)],[f12])).
% 14.30/2.42 fof(f14,definition,(
% 14.30/2.42 ![Y24,X19]: (sP0_prd(X19,Y24)<=>(~r1(X19)&~X19=Y24))),
% 14.30/2.42 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 14.30/2.42 fof(f15,plain,(
% 14.30/2.42 ?[Y24]: ![X19]: (sP0_prd(X19,Y24)|(r1(X19)&X19=Y24))),
% 14.30/2.42 inference(formula_renaming,[status(thm)],[f1,f14])).
% 14.30/2.42 fof(f16,plain,(
% 14.30/2.42 ![X19]: (sP0_prd(X19,sK0_skl)|(r1(X19)&X19=sK0_skl))),
% 14.30/2.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y24,sK0_skl)],[f15])).
% 14.30/2.42 fof(f17,plain,(
% 14.30/2.42 ![X0]: (sP0_prd(X0,sK0_skl)|r1(X0))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f16])).
% 14.30/2.42 fof(f18,plain,(
% 14.30/2.42 ![X0]: (sP0_prd(X0,sK0_skl)|X0=sK0_skl)),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f16])).
% 14.30/2.42 fof(f19,definition,(
% 14.30/2.42 ![X11,Y21,X12]: (sP1_prd(X12,Y21,X11)<=>(~r2(X11,X12)&~X12=Y21))),
% 14.30/2.42 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 14.30/2.42 fof(f20,plain,(
% 14.30/2.42 ![X11]: ?[Y21]: ![X12]: (sP1_prd(X12,Y21,X11)|(r2(X11,X12)&X12=Y21))),
% 14.30/2.42 inference(formula_renaming,[status(thm)],[f2,f19])).
% 14.30/2.42 fof(f21,plain,(
% 14.30/2.42 ![X11]: ![X12]: (sP1_prd(X12,sK1_skl(X11),X11)|(r2(X11,X12)&X12=sK1_skl(X11)))),
% 14.30/2.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y21,sK1_skl(X11))],[f20])).
% 14.30/2.42 fof(f22,plain,(
% 14.30/2.42 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|r2(X1,X0))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f21])).
% 14.30/2.42 fof(f23,plain,(
% 14.30/2.42 ![X0,X1]: (sP1_prd(X0,sK1_skl(X1),X1)|X0=sK1_skl(X1))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f21])).
% 14.30/2.42 fof(f24,definition,(
% 14.30/2.42 ![X13,X14,Y22,X15]: (sP2_prd(X15,Y22,X14,X13)<=>(~r3(X13,X14,X15)&~X15=Y22))),
% 14.30/2.42 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 14.30/2.42 fof(f25,plain,(
% 14.30/2.42 ![X13,X14]: ?[Y22]: ![X15]: (sP2_prd(X15,Y22,X14,X13)|(r3(X13,X14,X15)&X15=Y22))),
% 14.30/2.42 inference(formula_renaming,[status(thm)],[f3,f24])).
% 14.30/2.42 fof(f26,plain,(
% 14.30/2.42 ![X13,X14]: ![X15]: (sP2_prd(X15,sK2_skl(X14,X13),X14,X13)|(r3(X13,X14,X15)&X15=sK2_skl(X14,X13)))),
% 14.30/2.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y22,sK2_skl(X14,X13))],[f25])).
% 14.30/2.42 fof(f28,plain,(
% 14.30/2.42 ![X0,X1,X2]: (sP2_prd(X0,sK2_skl(X1,X2),X1,X2)|X0=sK2_skl(X1,X2))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f26])).
% 14.30/2.42 fof(f34,plain,(
% 14.30/2.42 ![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))))),
% 14.30/2.42 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])).
% 14.30/2.42 fof(f35,plain,(
% 14.30/2.42 ![X0,X1]: (r2(X0,sK6_skl(X0,X1)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f34])).
% 14.30/2.42 fof(f36,plain,(
% 14.30/2.42 ![X0,X1]: (r3(X0,sK6_skl(X1,X0),sK5_skl(X1,X0)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f34])).
% 14.30/2.42 fof(f37,plain,(
% 14.30/2.42 ![X0,X1]: (sK5_skl(X0,X1)=sK4_skl(X0,X1))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f34])).
% 14.30/2.42 fof(f38,plain,(
% 14.30/2.42 ![X0,X1]: (r2(sK7_skl(X0,X1),sK4_skl(X0,X1)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f34])).
% 14.30/2.42 fof(f39,plain,(
% 14.30/2.42 ![X0,X1]: (r3(X0,X1,sK7_skl(X1,X0)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f34])).
% 14.30/2.42 fof(f40,plain,(
% 14.30/2.42 ![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))))),
% 14.30/2.42 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])).
% 14.30/2.42 fof(f41,plain,(
% 14.30/2.42 ![X0,X1]: (r2(X0,sK10_skl(X0,X1)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f40])).
% 14.30/2.42 fof(f47,plain,(
% 14.30/2.42 ![X4]: ((r1(sK13_skl(X4))&r3(X4,sK13_skl(X4),sK12_skl(X4)))&sK12_skl(X4)=X4)),
% 14.30/2.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(Y9,sK12_skl(X4)),skolemize(Y16,sK13_skl(X4))],[f8])).
% 14.30/2.42 fof(f48,plain,(
% 14.30/2.42 ![X0]: (r1(sK13_skl(X0)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f47])).
% 14.30/2.42 fof(f49,plain,(
% 14.30/2.42 ![X0]: (r3(X0,sK13_skl(X0),sK12_skl(X0)))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f47])).
% 14.30/2.42 fof(f50,plain,(
% 14.30/2.42 ![X0]: (sK12_skl(X0)=X0)),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f47])).
% 14.30/2.42 fof(f64,plain,(
% 14.30/2.42 (![Y1]: ((![Y2]: (~Y1=Y2|(![Y3]: (~r2(Y3,Y2)|(![Y4]: (~r2(Y4,Y3)|(![Y6]: (~r2(Y6,Y4)|(![Y8]: (~r2(Y8,Y6)|(![Y10]: (~r2(Y10,Y8)|(![Y12]: (~r2(Y12,Y10)|(![Y14]: (~r2(Y14,Y12)|(![Y17]: (~r2(Y17,Y14)|(![Y20]: (~r1(Y20)|~r2(Y20,Y17)))))))))))))))))))))|(![Y5]: ((![Y16]: (~r3(Y5,Y16,Y1)|(![Y19]: (~r2(Y19,Y16)|(![Y22]: (~r1(Y22)|~r2(Y22,Y19)))))))|(![Y7]: (~r2(Y7,Y5)|(![Y9]: (~r2(Y9,Y7)|(![Y11]: (~r2(Y11,Y9)|(![Y13]: (~r2(Y13,Y11)|(![Y15]: (~r2(Y15,Y13)|(![Y18]: (~r2(Y18,Y15)|(![Y21]: (~r1(Y21)|~r2(Y21,Y18)))))))))))))))))))),
% 14.30/2.42 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 14.30/2.42 fof(f65,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21]: (~X0=X1|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r2(X7,X6)|~r2(X8,X7)|~r2(X9,X8)|~r1(X10)|~r2(X10,X9)|~r3(X11,X12,X0)|~r2(X13,X12)|~r1(X14)|~r2(X14,X13)|~r2(X15,X11)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r2(X20,X19)|~r1(X21)|~r2(X21,X20))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f64])).
% 14.30/2.42 fof(f66,plain,(
% 14.30/2.42 ![Y24,X19]: ((~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24))&(sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 14.30/2.42 inference(NNF_transformation,[status(thm)],[f14])).
% 14.30/2.42 fof(f67,plain,(
% 14.30/2.42 (![Y24,X19]: (~sP0_prd(X19,Y24)|(~r1(X19)&~X19=Y24)))&(![Y24,X19]: (sP0_prd(X19,Y24)|(r1(X19)|X19=Y24)))),
% 14.30/2.42 inference(miniscoping,[status(thm)],[f66])).
% 14.30/2.42 fof(f68,plain,(
% 14.30/2.42 ![X0,X1]: (~sP0_prd(X0,X1)|~r1(X0))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f67])).
% 14.30/2.42 fof(f69,plain,(
% 14.30/2.42 ![X0,X1]: (~sP0_prd(X0,X1)|~X0=X1)),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f67])).
% 14.30/2.42 fof(f71,plain,(
% 14.30/2.42 ![X11,Y21,X12]: ((~sP1_prd(X12,Y21,X11)|(~r2(X11,X12)&~X12=Y21))&(sP1_prd(X12,Y21,X11)|(r2(X11,X12)|X12=Y21)))),
% 14.30/2.42 inference(NNF_transformation,[status(thm)],[f19])).
% 14.30/2.42 fof(f72,plain,(
% 14.30/2.42 (![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)))),
% 14.30/2.42 inference(miniscoping,[status(thm)],[f71])).
% 14.30/2.42 fof(f73,plain,(
% 14.30/2.42 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~r2(X2,X0))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f72])).
% 14.30/2.42 fof(f74,plain,(
% 14.30/2.42 ![X0,X1,X2]: (~sP1_prd(X0,X1,X2)|~X0=X1)),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f72])).
% 14.30/2.42 fof(f76,plain,(
% 14.30/2.42 ![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)))),
% 14.30/2.42 inference(NNF_transformation,[status(thm)],[f24])).
% 14.30/2.42 fof(f77,plain,(
% 14.30/2.42 (![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)))),
% 14.30/2.42 inference(miniscoping,[status(thm)],[f76])).
% 14.30/2.42 fof(f78,plain,(
% 14.30/2.42 ![X0,X1,X2,X3]: (~sP2_prd(X0,X1,X2,X3)|~r3(X3,X2,X0))),
% 14.30/2.42 inference(cnf_transformation,[status(thm)],[f77])).
% 14.30/2.42 fof(f93,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r2(X7,X6)|~r2(X8,X7)|~r1(X9)|~r2(X9,X8)|~r3(X10,X11,X1)|~r2(X12,X11)|~r1(X13)|~r2(X13,X12)|~r2(X14,X10)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(destructive_equality_resolution,[status(thm)],[f65])).
% 14.30/2.42 fof(f94,plain,(
% 14.30/2.42 ![X0]: (~sP0_prd(X0,X0))),
% 14.30/2.42 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 14.30/2.42 fof(f95,plain,(
% 14.30/2.42 ![X0,X1]: (~sP1_prd(X0,X0,X1))),
% 14.30/2.42 inference(destructive_equality_resolution,[status(thm)],[f74])).
% 14.30/2.42 fof(f99,plain,(
% 14.30/2.42 r1(sK0_skl)),
% 14.30/2.42 inference(resolution,[status(thm)],[f17,f94])).
% 14.30/2.42 fof(f103,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r2(X7,X6)|~r1(X8)|~r2(X8,X7)|~r3(X9,X10,sK6_skl(X1,X11))|~r2(X12,X10)|~r1(X13)|~r2(X13,X12)|~r2(X14,X9)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f35,f93])).
% 14.30/2.42 fof(f105,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6)|~r3(X8,X9,sK6_skl(sK6_skl(X1,X10),X11))|~r2(X12,X9)|~r1(X13)|~r2(X13,X12)|~r2(X14,X8)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f103,f35])).
% 14.30/2.42 fof(f106,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r1(X6)|~r2(X6,X5)|~r3(X7,X8,sK6_skl(sK6_skl(sK6_skl(X1,X9),X10),X11))|~r2(X12,X8)|~r1(X13)|~r2(X13,X12)|~r2(X14,X7)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f105,f35])).
% 14.30/2.42 fof(f119,plain,(
% 14.30/2.42 ![X0]: (X0=sK0_skl|~r1(X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f18,f68])).
% 14.30/2.42 fof(f124,plain,(
% 14.30/2.42 ![X0]: (sK13_skl(X0)=sK0_skl)),
% 14.30/2.42 inference(resolution,[status(thm)],[f119,f48])).
% 14.30/2.42 fof(f133,plain,(
% 14.30/2.42 ![X0]: (r2(X0,sK1_skl(X0)))),
% 14.30/2.42 inference(resolution,[status(thm)],[f22,f95])).
% 14.30/2.42 fof(f136,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r2(X4,X3)|~r1(X5)|~r2(X5,X4)|~r3(X6,X7,sK6_skl(sK6_skl(sK6_skl(sK10_skl(X1,X8),X9),X10),X11))|~r2(X12,X7)|~r1(X13)|~r2(X13,X12)|~r2(X14,X6)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f106,f41])).
% 14.30/2.42 fof(f138,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3)|~r3(X5,X6,sK6_skl(sK6_skl(sK6_skl(sK10_skl(sK10_skl(X1,X7),X8),X9),X10),X11))|~r2(X12,X6)|~r1(X13)|~r2(X13,X12)|~r2(X14,X5)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f136,f41])).
% 14.30/2.42 fof(f140,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r2(X2,X0)|~r1(X3)|~r2(X3,X2)|~r3(X4,X5,sK6_skl(sK6_skl(sK6_skl(sK10_skl(sK10_skl(sK10_skl(X1,X6),X7),X8),X9),X10),X11))|~r2(X12,X5)|~r1(X13)|~r2(X13,X12)|~r2(X14,X4)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f138,f41])).
% 14.30/2.42 fof(f142,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r2(X0,X1)|~r1(X2)|~r2(X2,X0)|~r3(X3,X4,sK6_skl(sK6_skl(sK6_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(X1,X5),X6),X7),X8),X9),X10),X11))|~r2(X12,X4)|~r1(X13)|~r2(X13,X12)|~r2(X14,X3)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f140,f41])).
% 14.30/2.42 fof(f144,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r1(X0)|~r2(X0,X1)|~r3(X2,X3,sK6_skl(sK6_skl(sK6_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(X1,X4),X5),X6),X7),X8),X9),X10),X11))|~r2(X12,X3)|~r1(X13)|~r2(X13,X12)|~r2(X14,X2)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f142,f41])).
% 14.30/2.42 fof(f146,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(X0,X3),X4),X5),X6),X7),X8),X9),X10),X11))|~r2(X12,X2)|~r1(X13)|~r2(X13,X12)|~r2(X14,X1)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r2(X19,X18)|~r1(X20)|~r2(X20,X19))),
% 14.30/2.42 inference(resolution,[status(thm)],[f144,f41])).
% 14.30/2.42 fof(f184,plain,(
% 14.30/2.42 ![X0]: (r3(X0,sK0_skl,sK12_skl(X0)))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f124,f49])).
% 14.30/2.42 fof(f185,plain,(
% 14.30/2.42 ![X0]: (r3(X0,sK0_skl,X0))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f50,f184])).
% 14.30/2.42 fof(f197,plain,(
% 14.30/2.42 ![X0,X1]: (~r2(X0,X1)|X1=sK1_skl(X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f73,f23])).
% 14.30/2.42 fof(f200,plain,(
% 14.30/2.42 ![X0,X1]: (sK10_skl(X0,X1)=sK1_skl(X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f197,f41])).
% 14.30/2.42 fof(f201,plain,(
% 14.30/2.42 ![X0,X1]: (sK6_skl(X0,X1)=sK1_skl(X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f197,f35])).
% 14.30/2.42 fof(f212,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(X0,X3),X4),X5),X6),X7)),X8),X9),X10))|~r2(X11,X2)|~r1(X12)|~r2(X12,X11)|~r2(X13,X1)|~r2(X14,X13)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r2(X18,X17)|~r1(X19)|~r2(X19,X18))),
% 14.30/2.42 inference(backward_demodulation,[status(thm)],[f200,f146])).
% 14.30/2.42 fof(f255,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK10_skl(sK10_skl(sK10_skl(sK10_skl(X0,X3),X4),X5),X6))),X7),X8),X9))|~r2(X10,X2)|~r1(X11)|~r2(X11,X10)|~r2(X12,X1)|~r2(X13,X12)|~r2(X14,X13)|~r2(X15,X14)|~r2(X16,X15)|~r2(X17,X16)|~r1(X18)|~r2(X18,X17))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f200,f212])).
% 14.30/2.42 fof(f256,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK10_skl(sK10_skl(sK10_skl(X0,X3),X4),X5)))),X6),X7),X8))|~r2(X9,X2)|~r1(X10)|~r2(X10,X9)|~r2(X11,X1)|~r2(X12,X11)|~r2(X13,X12)|~r2(X14,X13)|~r2(X15,X14)|~r2(X16,X15)|~r1(X17)|~r2(X17,X16))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f200,f255])).
% 14.30/2.42 fof(f257,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK10_skl(sK10_skl(X0,X3),X4))))),X5),X6),X7))|~r2(X8,X2)|~r1(X9)|~r2(X9,X8)|~r2(X10,X1)|~r2(X11,X10)|~r2(X12,X11)|~r2(X13,X12)|~r2(X14,X13)|~r2(X15,X14)|~r1(X16)|~r2(X16,X15))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f200,f256])).
% 14.30/2.42 fof(f258,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK10_skl(X0,X3)))))),X4),X5),X6))|~r2(X7,X2)|~r1(X8)|~r2(X8,X7)|~r2(X9,X1)|~r2(X10,X9)|~r2(X11,X10)|~r2(X12,X11)|~r2(X13,X12)|~r2(X14,X13)|~r1(X15)|~r2(X15,X14))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f200,f257])).
% 14.30/2.42 fof(f259,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14]: (~r1(X0)|~r3(X1,X2,sK6_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0)))))),X3),X4),X5))|~r2(X6,X2)|~r1(X7)|~r2(X7,X6)|~r2(X8,X1)|~r2(X9,X8)|~r2(X10,X9)|~r2(X11,X10)|~r2(X12,X11)|~r2(X13,X12)|~r1(X14)|~r2(X14,X13))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f200,f258])).
% 14.30/2.42 fof(f280,plain,(
% 14.30/2.42 ![X0,X1]: (sK4_skl(X0,X1)=sK1_skl(sK7_skl(X0,X1)))),
% 14.30/2.42 inference(resolution,[status(thm)],[f38,f197])).
% 14.30/2.42 fof(f293,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (~r1(X0)|~r3(X1,X2,sK1_skl(sK6_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0)))))),X3),X4)))|~r2(X5,X2)|~r1(X6)|~r2(X6,X5)|~r2(X7,X1)|~r2(X8,X7)|~r2(X9,X8)|~r2(X10,X9)|~r2(X11,X10)|~r2(X12,X11)|~r1(X13)|~r2(X13,X12))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f201,f259])).
% 14.30/2.42 fof(f294,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12]: (~r1(X0)|~r3(X1,X2,sK1_skl(sK1_skl(sK6_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0)))))),X3))))|~r2(X4,X2)|~r1(X5)|~r2(X5,X4)|~r2(X6,X1)|~r2(X7,X6)|~r2(X8,X7)|~r2(X9,X8)|~r2(X10,X9)|~r2(X11,X10)|~r1(X12)|~r2(X12,X11))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f201,f293])).
% 14.30/2.42 fof(f295,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~r1(X0)|~r3(X1,X2,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))))))|~r2(X3,X2)|~r1(X4)|~r2(X4,X3)|~r2(X5,X1)|~r2(X6,X5)|~r2(X7,X6)|~r2(X8,X7)|~r2(X9,X8)|~r2(X10,X9)|~r1(X11)|~r2(X11,X10))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f201,f294])).
% 14.30/2.42 fof(f403,plain,(
% 14.30/2.42 ![X0,X1]: (r3(X0,sK1_skl(X1),sK5_skl(X1,X0)))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f201,f36])).
% 14.30/2.42 fof(f404,plain,(
% 14.30/2.42 ![X0,X1]: (r3(X0,sK1_skl(X1),sK4_skl(X1,X0)))),
% 14.30/2.42 inference(forward_demodulation,[status(thm)],[f37,f403])).
% 14.30/2.42 fof(f411,plain,(
% 14.30/2.42 ![X0,X1,X2]: (~r3(X0,X1,X2)|X2=sK2_skl(X1,X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f78,f28])).
% 14.30/2.42 fof(f414,plain,(
% 14.30/2.42 ![X0,X1]: (sK4_skl(X0,X1)=sK2_skl(sK1_skl(X0),X1))),
% 14.30/2.42 inference(resolution,[status(thm)],[f411,f404])).
% 14.30/2.42 fof(f415,plain,(
% 14.30/2.42 ![X0]: (X0=sK2_skl(sK0_skl,X0))),
% 14.30/2.42 inference(resolution,[status(thm)],[f411,f185])).
% 14.30/2.42 fof(f417,plain,(
% 14.30/2.42 ![X0,X1]: (sK7_skl(X0,X1)=sK2_skl(X0,X1))),
% 14.30/2.42 inference(resolution,[status(thm)],[f411,f39])).
% 14.30/2.42 fof(f422,plain,(
% 14.30/2.42 ![X0,X1]: (sK4_skl(X0,X1)=sK1_skl(sK2_skl(X0,X1)))),
% 14.30/2.42 inference(backward_demodulation,[status(thm)],[f417,f280])).
% 14.30/2.42 fof(f437,plain,(
% 14.30/2.42 ![X0,X1]: (sK4_skl(sK1_skl(X0),X1)=sK1_skl(sK4_skl(X0,X1)))),
% 14.30/2.42 inference(paramodulation,[status(thm)],[f414,f422])).
% 14.30/2.42 fof(f438,plain,(
% 14.30/2.42 ![X0]: (sK4_skl(sK0_skl,X0)=sK1_skl(X0))),
% 14.30/2.42 inference(paramodulation,[status(thm)],[f415,f422])).
% 14.30/2.42 fof(f635,plain,(
% 14.30/2.42 ![X0,X1]: (r3(X0,sK1_skl(sK1_skl(X1)),sK1_skl(sK4_skl(X1,X0))))),
% 14.30/2.42 inference(paramodulation,[status(thm)],[f437,f404])).
% 14.30/2.42 fof(f1608,plain,(
% 14.30/2.42 ![X0]: (r3(X0,sK1_skl(sK1_skl(sK0_skl)),sK1_skl(sK1_skl(X0))))),
% 14.30/2.42 inference(paramodulation,[status(thm)],[f438,f635])).
% 14.30/2.42 fof(f1996,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK0_skl)))|~r1(X2)|~r2(X2,X1)|~r2(X3,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))))|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r2(X7,X6)|~r2(X8,X7)|~r1(X9)|~r2(X9,X8))),
% 14.30/2.42 inference(resolution,[status(thm)],[f1608,f295])).
% 14.30/2.42 fof(f2429,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~r1(X0)|~r1(X1)|~r2(X1,sK1_skl(sK0_skl))|~r2(X2,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))))|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r2(X7,X6)|~r1(X8)|~r2(X8,X7))),
% 14.30/2.42 inference(resolution,[status(thm)],[f1996,f133])).
% 14.30/2.42 fof(f2432,plain,(
% 14.30/2.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(X0)|~r1(sK0_skl)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))))|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2429,f133])).
% 14.30/2.43 fof(f2433,plain,(
% 14.30/2.43 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))))|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r2(X6,X5)|~r1(X7)|~r2(X7,X6))),
% 14.30/2.43 inference(forward_subsumption_resolution,[status(thm)],[f2432,f99])).
% 14.30/2.43 fof(f2436,plain,(
% 14.30/2.43 ![X0,X1,X2,X3,X4,X5,X6]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0)))))))|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r2(X5,X4)|~r1(X6)|~r2(X6,X5))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2433,f133])).
% 14.30/2.43 fof(f2444,plain,(
% 14.30/2.43 ![X0,X1,X2,X3,X4,X5]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0))))))|~r2(X2,X1)|~r2(X3,X2)|~r2(X4,X3)|~r1(X5)|~r2(X5,X4))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2436,f133])).
% 14.30/2.43 fof(f2452,plain,(
% 14.30/2.43 ![X0,X1,X2,X3,X4]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(sK1_skl(X0)))))|~r2(X2,X1)|~r2(X3,X2)|~r1(X4)|~r2(X4,X3))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2444,f133])).
% 14.30/2.43 fof(f2460,plain,(
% 14.30/2.43 ![X0,X1,X2,X3]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(sK1_skl(X0))))|~r2(X2,X1)|~r1(X3)|~r2(X3,X2))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2452,f133])).
% 14.30/2.43 fof(f2864,plain,(
% 14.30/2.43 ![X0,X1,X2]: (~r1(X0)|~r2(X1,sK1_skl(sK1_skl(X0)))|~r1(X2)|~r2(X2,X1))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2460,f133])).
% 14.30/2.43 fof(f2872,plain,(
% 14.30/2.43 ![X0,X1]: (~r1(X0)|~r1(X1)|~r2(X1,sK1_skl(X0)))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2864,f133])).
% 14.30/2.43 fof(f2880,plain,(
% 14.30/2.43 ![X0]: (~r1(X0)|~r1(X0))),
% 14.30/2.43 inference(resolution,[status(thm)],[f2872,f133])).
% 14.30/2.43 fof(f2886,plain,(
% 14.30/2.43 ![X0]: (~r1(X0))),
% 14.30/2.43 inference(duplicate_literals_removal,[status(thm)],[f2880])).
% 14.30/2.43 fof(f2893,plain,(
% 14.30/2.43 $false),
% 14.30/2.43 inference(backward_subsumption_resolution,[status(thm)],[f99,f2886])).
% 14.30/2.43 % SZS output end CNFRefutation for theBenchmark.p
% 14.30/2.46 % Elapsed time: 2.083959 seconds
% 14.30/2.46 % CPU time: 16.097796 seconds
% 14.30/2.46 % Total memory used: 136.109 MB
% 14.30/2.46 % Net memory used: 129.656 MB
%------------------------------------------------------------------------------