TSTP Solution File: KRS114+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:24:48 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS114+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:25:42 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f25,axiom,(
% 0.13/0.35 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& ca_Ax4(Y) ))& (? [Y] :( rs(X,Y)& ca_Ax3(Y) ) )) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f26,axiom,(
% 0.13/0.35 (! [X] :( cp(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f27,axiom,(
% 0.13/0.35 (! [X] :( cpxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f30,axiom,(
% 0.13/0.35 (! [X] :( ca_Ax3(X)<=> ( cqxcomp(X)& cpxcomp(X) ) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f31,axiom,(
% 0.13/0.35 (! [X] :( ca_Ax4(X)<=> ( (! [Y0,Y1] :( ( rinvR(X,Y0)& rinvR(X,Y1) )=> Y0 = Y1 ))& (? [Y] :( rinvR(X,Y)& ca_Vx5(Y) ) )) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f32,axiom,(
% 0.13/0.35 (! [X] :( ca_Vx5(X)<=> (! [Y] :( rs(X,Y)=> cp(Y) ) )) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f33,axiom,(
% 0.13/0.35 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f34,axiom,(
% 0.13/0.35 cUnsatisfiable(i2003_11_14_17_21_262) ),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f108,plain,(
% 0.13/0.35 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Ax4(Y)))&(?[Y]: (rs(X,Y)&ca_Ax3(Y)))))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Ax4(Y)))|(![Y]: (~rs(X,Y)|~ca_Ax3(Y))))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f25])).
% 0.13/0.35 fof(f109,plain,(
% 0.13/0.35 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&ca_Ax4(Y)))&(?[Y]: (rs(X,Y)&ca_Ax3(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Ax4(Y)))|(![Y]: (~rs(X,Y)|~ca_Ax3(Y))))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f108])).
% 0.13/0.35 fof(f110,plain,(
% 0.13/0.35 (![X]: (~cUnsatisfiable(X)|((rr(X,sk0_0(X))&ca_Ax4(sk0_0(X)))&(rs(X,sk0_1(X))&ca_Ax3(sk0_1(X))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~ca_Ax4(Y)))|(![Y]: (~rs(X,Y)|~ca_Ax3(Y))))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f109])).
% 0.13/0.35 fof(f111,plain,(
% 0.13/0.35 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_0(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.35 fof(f112,plain,(
% 0.13/0.35 ![X0]: (~cUnsatisfiable(X0)|ca_Ax4(sk0_0(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.35 fof(f113,plain,(
% 0.13/0.35 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sk0_1(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.35 fof(f114,plain,(
% 0.13/0.35 ![X0]: (~cUnsatisfiable(X0)|ca_Ax3(sk0_1(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.35 fof(f116,plain,(
% 0.13/0.35 ![X]: (cp(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.13/0.35 fof(f117,plain,(
% 0.13/0.35 ![X]: ((~cp(X)|(![Y]: ~ra_Px1(X,Y)))&(cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f116])).
% 0.13/0.35 fof(f118,plain,(
% 0.13/0.35 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f117])).
% 0.13/0.35 fof(f119,plain,(
% 0.13/0.35 (![X]: (~cp(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cp(X)|ra_Px1(X,sk0_2(X))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f118])).
% 0.13/0.35 fof(f120,plain,(
% 0.13/0.35 ![X0,X1]: (~cp(X0)|~ra_Px1(X0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f119])).
% 0.13/0.35 fof(f122,plain,(
% 0.13/0.35 ![X]: ((~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f27])).
% 0.13/0.35 fof(f123,plain,(
% 0.13/0.35 (![X]: (~cpxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f122])).
% 0.13/0.35 fof(f124,plain,(
% 0.13/0.35 (![X]: (~cpxcomp(X)|ra_Px1(X,sk0_3(X))))&(![X]: (cpxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f123])).
% 0.13/0.35 fof(f125,plain,(
% 0.13/0.35 ![X0]: (~cpxcomp(X0)|ra_Px1(X0,sk0_3(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f124])).
% 0.13/0.35 fof(f138,plain,(
% 0.13/0.35 ![X]: ((~ca_Ax3(X)|(cqxcomp(X)&cpxcomp(X)))&(ca_Ax3(X)|(~cqxcomp(X)|~cpxcomp(X))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f30])).
% 0.13/0.35 fof(f139,plain,(
% 0.13/0.35 (![X]: (~ca_Ax3(X)|(cqxcomp(X)&cpxcomp(X))))&(![X]: (ca_Ax3(X)|(~cqxcomp(X)|~cpxcomp(X))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f138])).
% 0.13/0.35 fof(f141,plain,(
% 0.13/0.35 ![X0]: (~ca_Ax3(X0)|cpxcomp(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f139])).
% 0.13/0.35 fof(f143,plain,(
% 0.13/0.35 ![X]: (ca_Ax4(X)<=>((![Y0,Y1]: ((~rinvR(X,Y0)|~rinvR(X,Y1))|Y0=Y1))&(?[Y]: (rinvR(X,Y)&ca_Vx5(Y)))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.13/0.35 fof(f144,plain,(
% 0.13/0.35 ![X]: ((~ca_Ax4(X)|((![Y0,Y1]: ((~rinvR(X,Y0)|~rinvR(X,Y1))|Y0=Y1))&(?[Y]: (rinvR(X,Y)&ca_Vx5(Y)))))&(ca_Ax4(X)|((?[Y0,Y1]: ((rinvR(X,Y0)&rinvR(X,Y1))&~Y0=Y1))|(![Y]: (~rinvR(X,Y)|~ca_Vx5(Y))))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f143])).
% 0.13/0.35 fof(f145,plain,(
% 0.13/0.35 (![X]: (~ca_Ax4(X)|((![Y0,Y1]: ((~rinvR(X,Y0)|~rinvR(X,Y1))|Y0=Y1))&(?[Y]: (rinvR(X,Y)&ca_Vx5(Y))))))&(![X]: (ca_Ax4(X)|((?[Y0,Y1]: ((rinvR(X,Y0)&rinvR(X,Y1))&~Y0=Y1))|(![Y]: (~rinvR(X,Y)|~ca_Vx5(Y))))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f144])).
% 0.13/0.35 fof(f146,plain,(
% 0.13/0.35 (![X]: (~ca_Ax4(X)|((![Y0,Y1]: ((~rinvR(X,Y0)|~rinvR(X,Y1))|Y0=Y1))&(rinvR(X,sk0_6(X))&ca_Vx5(sk0_6(X))))))&(![X]: (ca_Ax4(X)|(((rinvR(X,sk0_7(X))&rinvR(X,sk0_8(X)))&~sk0_7(X)=sk0_8(X))|(![Y]: (~rinvR(X,Y)|~ca_Vx5(Y))))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f145])).
% 0.13/0.35 fof(f147,plain,(
% 0.13/0.35 ![X0,X1,X2]: (~ca_Ax4(X0)|~rinvR(X0,X1)|~rinvR(X0,X2)|X1=X2)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f146])).
% 0.13/0.35 fof(f148,plain,(
% 0.13/0.35 ![X0]: (~ca_Ax4(X0)|rinvR(X0,sk0_6(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f146])).
% 0.13/0.35 fof(f149,plain,(
% 0.13/0.35 ![X0]: (~ca_Ax4(X0)|ca_Vx5(sk0_6(X0)))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f146])).
% 0.13/0.35 fof(f153,plain,(
% 0.13/0.35 ![X]: (ca_Vx5(X)<=>(![Y]: (~rs(X,Y)|cp(Y))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.13/0.35 fof(f154,plain,(
% 0.13/0.35 ![X]: ((~ca_Vx5(X)|(![Y]: (~rs(X,Y)|cp(Y))))&(ca_Vx5(X)|(?[Y]: (rs(X,Y)&~cp(Y)))))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f153])).
% 0.13/0.35 fof(f155,plain,(
% 0.13/0.35 (![X]: (~ca_Vx5(X)|(![Y]: (~rs(X,Y)|cp(Y)))))&(![X]: (ca_Vx5(X)|(?[Y]: (rs(X,Y)&~cp(Y)))))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f154])).
% 0.13/0.35 fof(f156,plain,(
% 0.13/0.35 (![X]: (~ca_Vx5(X)|(![Y]: (~rs(X,Y)|cp(Y)))))&(![X]: (ca_Vx5(X)|(rs(X,sk0_9(X))&~cp(sk0_9(X)))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f155])).
% 0.13/0.35 fof(f157,plain,(
% 0.13/0.35 ![X0,X1]: (~ca_Vx5(X0)|~rs(X0,X1)|cp(X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f156])).
% 0.13/0.35 fof(f160,plain,(
% 0.13/0.35 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f33])).
% 0.13/0.35 fof(f161,plain,(
% 0.13/0.35 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f160])).
% 0.13/0.35 fof(f163,plain,(
% 0.13/0.35 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f161])).
% 0.13/0.35 fof(f164,plain,(
% 0.13/0.35 cUnsatisfiable(i2003_11_14_17_21_262)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.35 fof(f165,plain,(
% 0.13/0.35 rr(i2003_11_14_17_21_262,sk0_0(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f111,f164])).
% 0.13/0.35 fof(f168,plain,(
% 0.13/0.35 ca_Ax4(sk0_0(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f112,f164])).
% 0.13/0.35 fof(f169,plain,(
% 0.13/0.35 ca_Ax3(sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f114,f164])).
% 0.13/0.35 fof(f170,plain,(
% 0.13/0.35 cpxcomp(sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f169,f141])).
% 0.13/0.35 fof(f172,plain,(
% 0.13/0.35 ca_Vx5(sk0_6(sk0_0(i2003_11_14_17_21_262)))),
% 0.13/0.35 inference(resolution,[status(thm)],[f149,f168])).
% 0.13/0.35 fof(f173,plain,(
% 0.13/0.35 rinvR(sk0_0(i2003_11_14_17_21_262),i2003_11_14_17_21_262)),
% 0.13/0.35 inference(resolution,[status(thm)],[f165,f163])).
% 0.13/0.35 fof(f175,plain,(
% 0.13/0.35 spl0_0 <=> ca_Ax4(sk0_0(i2003_11_14_17_21_262))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f177,plain,(
% 0.13/0.35 ~ca_Ax4(sk0_0(i2003_11_14_17_21_262))|spl0_0),
% 0.13/0.35 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.35 fof(f181,plain,(
% 0.13/0.35 spl0_2 <=> ca_Vx5(i2003_11_14_17_21_262)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f183,plain,(
% 0.13/0.35 ~ca_Vx5(i2003_11_14_17_21_262)|spl0_2),
% 0.13/0.35 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.35 fof(f191,plain,(
% 0.13/0.35 rs(i2003_11_14_17_21_262,sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f113,f164])).
% 0.13/0.35 fof(f200,plain,(
% 0.13/0.35 ra_Px1(sk0_1(i2003_11_14_17_21_262),sk0_3(sk0_1(i2003_11_14_17_21_262)))),
% 0.13/0.35 inference(resolution,[status(thm)],[f125,f170])).
% 0.13/0.35 fof(f214,plain,(
% 0.13/0.35 rinvR(sk0_0(i2003_11_14_17_21_262),sk0_6(sk0_0(i2003_11_14_17_21_262)))),
% 0.13/0.35 inference(resolution,[status(thm)],[f148,f168])).
% 0.13/0.35 fof(f215,plain,(
% 0.13/0.35 spl0_8 <=> cp(sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f216,plain,(
% 0.13/0.35 cp(sk0_1(i2003_11_14_17_21_262))|~spl0_8),
% 0.13/0.35 inference(component_clause,[status(thm)],[f215])).
% 0.13/0.35 fof(f218,plain,(
% 0.13/0.35 ~ca_Vx5(i2003_11_14_17_21_262)|cp(sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f157,f191])).
% 0.13/0.35 fof(f219,plain,(
% 0.13/0.35 ~spl0_2|spl0_8),
% 0.13/0.35 inference(split_clause,[status(thm)],[f218,f181,f215])).
% 0.13/0.35 fof(f221,plain,(
% 0.13/0.35 ~cp(sk0_1(i2003_11_14_17_21_262))),
% 0.13/0.35 inference(resolution,[status(thm)],[f200,f120])).
% 0.13/0.35 fof(f246,plain,(
% 0.13/0.35 spl0_13 <=> ~rinvR(sk0_0(i2003_11_14_17_21_262),X0)|i2003_11_14_17_21_262=X0),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f247,plain,(
% 0.13/0.35 ![X0]: (~rinvR(sk0_0(i2003_11_14_17_21_262),X0)|i2003_11_14_17_21_262=X0|~spl0_13)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f246])).
% 0.13/0.35 fof(f249,plain,(
% 0.13/0.35 ![X0]: (~ca_Ax4(sk0_0(i2003_11_14_17_21_262))|~rinvR(sk0_0(i2003_11_14_17_21_262),X0)|i2003_11_14_17_21_262=X0)),
% 0.13/0.35 inference(resolution,[status(thm)],[f147,f173])).
% 0.13/0.35 fof(f250,plain,(
% 0.13/0.35 ~spl0_0|spl0_13),
% 0.13/0.35 inference(split_clause,[status(thm)],[f249,f175,f246])).
% 0.13/0.35 fof(f262,plain,(
% 0.13/0.35 i2003_11_14_17_21_262=sk0_6(sk0_0(i2003_11_14_17_21_262))|~spl0_13),
% 0.13/0.35 inference(resolution,[status(thm)],[f247,f214])).
% 0.13/0.35 fof(f266,plain,(
% 0.13/0.35 ca_Vx5(i2003_11_14_17_21_262)|~spl0_13),
% 0.13/0.35 inference(backward_demodulation,[status(thm)],[f262,f172])).
% 0.13/0.35 fof(f267,plain,(
% 0.13/0.35 $false|spl0_2|~spl0_13),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f266,f183])).
% 0.13/0.35 fof(f268,plain,(
% 0.13/0.35 spl0_2|~spl0_13),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f267])).
% 0.13/0.35 fof(f269,plain,(
% 0.13/0.35 $false|~spl0_8),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f216,f221])).
% 0.13/0.35 fof(f270,plain,(
% 0.13/0.35 ~spl0_8),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f269])).
% 0.13/0.35 fof(f271,plain,(
% 0.13/0.35 $false|spl0_0),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f177,f168])).
% 0.13/0.35 fof(f272,plain,(
% 0.13/0.35 spl0_0),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f271])).
% 0.13/0.35 fof(f273,plain,(
% 0.13/0.35 $false),
% 0.13/0.35 inference(sat_refutation,[status(thm)],[f219,f250,f268,f270,f272])).
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 % Elapsed time: 0.014591 seconds
% 0.13/0.36 % CPU time: 0.032321 seconds
% 0.13/0.36 % Total memory used: 1.091 MB
% 0.13/0.36 % Net memory used: 1.044 MB
%------------------------------------------------------------------------------