%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:51:55 PM UTC 2026
% Result : Theorem 0.10s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 21:42:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.43 % Refutation found
% 0.10/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.43 fof(f2,axiom,(
% 0.10/0.43 (! [V0_2E0,V1_2E0] :( ( p(s(tyop_2Emin_2Ebool,V0_2E0))<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f3,axiom,(
% 0.10/0.43 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f43,axiom,(
% 0.10/0.43 (! [A_27a] :( (! [V0t1_2E0,V1t2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a,V0t1_2E0),s(A_27a,V1t2_2E0))) = s(A_27a,V0t1_2E0))& (! [V2t1_2E0,V3t2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(A_27a,V2t1_2E0),s(A_27a,V3t2_2E0))) = s(A_27a,V3t2_2E0) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f44,axiom,(
% 0.10/0.43 (! [A_27a,V0v_2E0,V1w_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V0v_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),V1w_2E0))))) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f45,axiom,(
% 0.10/0.43 (! [A_27a,A_27b] :( (! [V0m_2E0,V1n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0m_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0m_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))))))& (! [V2m_2E0,V3n_2E0] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0),s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))))))))) )) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f46,conjecture,(
% 0.10/0.43 (! [A_27a,V0a_2E0,V1b_2E0] :( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) ) )),
% 0.10/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.43 fof(f47,negated_conjecture,(
% 0.10/0.43 ~((! [A_27a,V0a_2E0,V1b_2E0] :( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0))))) ) ))),
% 0.10/0.43 inference(negated_conjecture,[status(cth)],[f46])).
% 0.10/0.43 fof(f51,plain,(
% 0.10/0.43 ![V0_2E0,V1_2E0]: ((p(s(tyop_2Emin_2Ebool,V0_2E0))<~>p(s(tyop_2Emin_2Ebool,V1_2E0)))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.43 fof(f52,plain,(
% 0.10/0.43 ![V0_2E0,V1_2E0]: (((p(s(tyop_2Emin_2Ebool,V0_2E0))|p(s(tyop_2Emin_2Ebool,V1_2E0)))&(~p(s(tyop_2Emin_2Ebool,V0_2E0))|~p(s(tyop_2Emin_2Ebool,V1_2E0))))|s(tyop_2Emin_2Ebool,V0_2E0)=s(tyop_2Emin_2Ebool,V1_2E0))),
% 0.10/0.43 inference(NNF_transformation,[status(thm)],[f51])).
% 0.10/0.43 fof(f54,plain,(
% 0.10/0.43 ![X0,X1]: (~p(s(tyop_2Emin_2Ebool,X0))|~p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X0)=s(tyop_2Emin_2Ebool,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f52])).
% 0.10/0.43 fof(f55,plain,(
% 0.10/0.43 p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.43 fof(f192,plain,(
% 0.10/0.43 (![A_27a,V0t1_2E0,V1t2_2E0]: s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(A_27a,V0t1_2E0),s(A_27a,V1t2_2E0)))=s(A_27a,V0t1_2E0))&(![A_27a,V2t1_2E0,V3t2_2E0]: s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(A_27a,V2t1_2E0),s(A_27a,V3t2_2E0)))=s(A_27a,V3t2_2E0))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f43])).
% 0.10/0.43 fof(f193,plain,(
% 0.10/0.43 ![X0,X1,X2]: (s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X0,X1),s(X0,X2)))=s(X0,X1))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f192])).
% 0.10/0.43 fof(f195,plain,(
% 0.10/0.43 ![X0,X1,X2]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2)))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2))))))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f44])).
% 0.10/0.43 fof(f196,plain,(
% 0.10/0.43 (![A_27a,V0m_2E0,V1n_2E0]: s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0m_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1n_2E0)))))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,V0m_2E0),s(tyop_2Enum_2Enum,V1n_2E0))))))))&(![A_27b,V2m_2E0,V3n_2E0]: s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V3n_2E0)))))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V2m_2E0),s(tyop_2Enum_2Enum,V3n_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27b),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V3n_2E0),s(tyop_2Enum_2Enum,V2m_2E0))))))))))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f45])).
% 0.10/0.43 fof(f198,plain,(
% 0.10/0.43 ![X0,X1,X2]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))))))))))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f196])).
% 0.10/0.43 fof(f199,plain,(
% 0.10/0.43 (?[A_27a,V0a_2E0,V1b_2E0]: (p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))&~s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0)))))))),
% 0.10/0.43 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.10/0.43 fof(f200,plain,(
% 0.10/0.43 ?[V0a_2E0,V1b_2E0]: (p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,V1b_2E0),s(tyop_2Enum_2Enum,V0a_2E0))))&(?[A_27a]: ~s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,V0a_2E0),s(tyop_2Enum_2Enum,V1b_2E0)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V0a_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,A_27a),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,V1b_2E0)))))))),
% 0.10/0.43 inference(miniscoping,[status(thm)],[f199])).
% 0.10/0.43 fof(f201,plain,(
% 0.10/0.43 (p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK4_skl),s(tyop_2Enum_2Enum,sK3_skl))))&~s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3_skl))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK4_skl))))))),
% 0.10/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(V0a_2E0,sK3_skl),skolemize(V1b_2E0,sK4_skl),skolemize(A_27a,sK5_skl)],[f200])).
% 0.10/0.43 fof(f202,plain,(
% 0.10/0.43 p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK4_skl),s(tyop_2Enum_2Enum,sK3_skl))))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f201])).
% 0.10/0.43 fof(f203,plain,(
% 0.10/0.43 ~s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3_skl))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK4_skl)))))),
% 0.10/0.43 inference(cnf_transformation,[status(thm)],[f201])).
% 0.10/0.43 fof(f216,plain,(
% 0.10/0.43 ![X0,X1,X2]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X1),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X1))))))))))),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f195,f198])).
% 0.10/0.43 fof(f218,plain,(
% 0.10/0.43 ![X0]: (~p(s(tyop_2Emin_2Ebool,X0))|s(tyop_2Emin_2Ebool,X0)=s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK4_skl),s(tyop_2Enum_2Enum,sK3_skl))))),
% 0.10/0.43 inference(resolution,[status(thm)],[f54,f202])).
% 0.10/0.43 fof(f299,plain,(
% 0.10/0.43 s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)=s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,sK4_skl),s(tyop_2Enum_2Enum,sK3_skl)))),
% 0.10/0.43 inference(resolution,[status(thm)],[f55,f218])).
% 0.10/0.43 fof(f472,plain,(
% 0.10/0.43 ![X0]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3_skl))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK4_skl)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK4_skl),s(tyop_2Enum_2Enum,sK3_skl))))))))))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f299,f216])).
% 0.10/0.44 fof(f486,plain,(
% 0.10/0.44 ~s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK5_skl),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl)))))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f488,f203])).
% 0.10/0.44 fof(f488,plain,(
% 0.10/0.44 ![X0]: (s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK3_skl))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,sK4_skl)))))=s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,sK3_skl),s(tyop_2Enum_2Enum,sK4_skl))))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f193,f472])).
% 0.10/0.44 fof(f501,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f486])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.095679 seconds
% 0.10/0.46 % CPU time: 0.409814 seconds
% 0.10/0.46 % Total memory used: 115.896 MB
% 0.10/0.46 % Net memory used: 115.577 MB
%------------------------------------------------------------------------------