%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG075+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 11:49:34 AM UTC 2026
% Result : Theorem 0.11s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : ALG075+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.24 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.56 % Computer : n020.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Mon Sep 21 12:56:18 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.58 % Drodi V4.1.1
% 0.11/0.63 % Refutation found
% 0.11/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.63 fof(f1,axiom,(
% 0.11/0.63 ( e10 != e11& e10 != e12& e10 != e13& e10 != e14& e11 != e12& e11 != e13& e11 != e14& e12 != e13& e12 != e14& e13 != e14 ) ),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f2,axiom,(
% 0.11/0.63 ( e20 != e21& e20 != e22& e20 != e23& e20 != e24& e21 != e22& e21 != e23& e21 != e24& e22 != e23& e22 != e24& e23 != e24 ) ),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f4,axiom,(
% 0.11/0.63 ( op1(e10,e10) = e10& op1(e10,e11) = e11& op1(e10,e12) = e12& op1(e10,e13) = e13& op1(e10,e14) = e14& op1(e11,e10) = e11& op1(e11,e11) = e14& op1(e11,e12) = e10& op1(e11,e13) = e12& op1(e11,e14) = e13& op1(e12,e10) = e12& op1(e12,e11) = e10& op1(e12,e12) = e13& op1(e12,e13) = e14& op1(e12,e14) = e11& op1(e13,e10) = e13& op1(e13,e11) = e12& op1(e13,e12) = e14& op1(e13,e13) = e11& op1(e13,e14) = e10& op1(e14,e10) = e14& op1(e14,e11) = e13& op1(e14,e12) = e11& op1(e14,e13) = e10& op1(e14,e14) = e12 ) ),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f5,axiom,(
% 0.11/0.63 ( op2(e20,e20) = e20& op2(e20,e21) = e21& op2(e20,e22) = e22& op2(e20,e23) = e23& op2(e20,e24) = e24& op2(e21,e20) = e21& op2(e21,e21) = e20& op2(e21,e22) = e23& op2(e21,e23) = e24& op2(e21,e24) = e22& op2(e22,e20) = e22& op2(e22,e21) = e24& op2(e22,e22) = e20& op2(e22,e23) = e21& op2(e22,e24) = e23& op2(e23,e20) = e23& op2(e23,e21) = e22& op2(e23,e22) = e24& op2(e23,e23) = e20& op2(e23,e24) = e21& op2(e24,e20) = e24& op2(e24,e21) = e23& op2(e24,e22) = e21& op2(e24,e23) = e22& op2(e24,e24) = e20 ) ),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f6,conjecture,(
% 0.11/0.63 ( ( ( h(e10) = e20| h(e10) = e21| h(e10) = e22| h(e10) = e23| h(e10) = e24 )& ( h(e11) = e20| h(e11) = e21| h(e11) = e22| h(e11) = e23| h(e11) = e24 )& ( h(e12) = e20| h(e12) = e21| h(e12) = e22| h(e12) = e23| h(e12) = e24 )& ( h(e13) = e20| h(e13) = e21| h(e13) = e22| h(e13) = e23| h(e13) = e24 )& ( h(e14) = e20| h(e14) = e21| h(e14) = e22| h(e14) = e23| h(e14) = e24 )& ( j(e20) = e10| j(e20) = e11| j(e20) = e12| j(e20) = e13| j(e20) = e14 )& ( j(e21) = e10| j(e21) = e11| j(e21) = e12| j(e21) = e13| j(e21) = e14 )& ( j(e22) = e10| j(e22) = e11| j(e22) = e12| j(e22) = e13| j(e22) = e14 )& ( j(e23) = e10| j(e23) = e11| j(e23) = e12| j(e23) = e13| j(e23) = e14 )& ( j(e24) = e10| j(e24) = e11| j(e24) = e12| j(e24) = e13| j(e24) = e14 ) )=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))& h(op1(e10,e11)) = op2(h(e10),h(e11))& h(op1(e10,e12)) = op2(h(e10),h(e12))& h(op1(e10,e13)) = op2(h(e10),h(e13))& h(op1(e10,e14)) = op2(h(e10),h(e14))& h(op1(e11,e10)) = op2(h(e11),h(e10))& h(op1(e11,e11)) = op2(h(e11),h(e11))& h(op1(e11,e12)) = op2(h(e11),h(e12))& h(op1(e11,e13)) = op2(h(e11),h(e13))& h(op1(e11,e14)) = op2(h(e11),h(e14))& h(op1(e12,e10)) = op2(h(e12),h(e10))& h(op1(e12,e11)) = op2(h(e12),h(e11))& h(op1(e12,e12)) = op2(h(e12),h(e12))& h(op1(e12,e13)) = op2(h(e12),h(e13))& h(op1(e12,e14)) = op2(h(e12),h(e14))& h(op1(e13,e10)) = op2(h(e13),h(e10))& h(op1(e13,e11)) = op2(h(e13),h(e11))& h(op1(e13,e12)) = op2(h(e13),h(e12))& h(op1(e13,e13)) = op2(h(e13),h(e13))& h(op1(e13,e14)) = op2(h(e13),h(e14))& h(op1(e14,e10)) = op2(h(e14),h(e10))& h(op1(e14,e11)) = op2(h(e14),h(e11))& h(op1(e14,e12)) = op2(h(e14),h(e12))& h(op1(e14,e13)) = op2(h(e14),h(e13))& h(op1(e14,e14)) = op2(h(e14),h(e14))& j(op2(e20,e20)) = op1(j(e20),j(e20))& j(op2(e20,e21)) = op1(j(e20),j(e21))& j(op2(e20,e22)) = op1(j(e20),j(e22))& j(op2(e20,e23)) = op1(j(e20),j(e23))& j(op2(e20,e24)) = op1(j(e20),j(e24))& j(op2(e21,e20)) = op1(j(e21),j(e20))& j(op2(e21,e21)) = op1(j(e21),j(e21))& j(op2(e21,e22)) = op1(j(e21),j(e22))& j(op2(e21,e23)) = op1(j(e21),j(e23))& j(op2(e21,e24)) = op1(j(e21),j(e24))& j(op2(e22,e20)) = op1(j(e22),j(e20))& j(op2(e22,e21)) = op1(j(e22),j(e21))& j(op2(e22,e22)) = op1(j(e22),j(e22))& j(op2(e22,e23)) = op1(j(e22),j(e23))& j(op2(e22,e24)) = op1(j(e22),j(e24))& j(op2(e23,e20)) = op1(j(e23),j(e20))& j(op2(e23,e21)) = op1(j(e23),j(e21))& j(op2(e23,e22)) = op1(j(e23),j(e22))& j(op2(e23,e23)) = op1(j(e23),j(e23))& j(op2(e23,e24)) = op1(j(e23),j(e24))& j(op2(e24,e20)) = op1(j(e24),j(e20))& j(op2(e24,e21)) = op1(j(e24),j(e21))& j(op2(e24,e22)) = op1(j(e24),j(e22))& j(op2(e24,e23)) = op1(j(e24),j(e23))& j(op2(e24,e24)) = op1(j(e24),j(e24))& h(j(e20)) = e20& h(j(e21)) = e21& h(j(e22)) = e22& h(j(e23)) = e23& h(j(e24)) = e24& j(h(e10)) = e10& j(h(e11)) = e11& j(h(e12)) = e12& j(h(e13)) = e13& j(h(e14)) = e14 ) ) ),
% 0.11/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f7,negated_conjecture,(
% 0.11/0.63 ~(( ( ( h(e10) = e20| h(e10) = e21| h(e10) = e22| h(e10) = e23| h(e10) = e24 )& ( h(e11) = e20| h(e11) = e21| h(e11) = e22| h(e11) = e23| h(e11) = e24 )& ( h(e12) = e20| h(e12) = e21| h(e12) = e22| h(e12) = e23| h(e12) = e24 )& ( h(e13) = e20| h(e13) = e21| h(e13) = e22| h(e13) = e23| h(e13) = e24 )& ( h(e14) = e20| h(e14) = e21| h(e14) = e22| h(e14) = e23| h(e14) = e24 )& ( j(e20) = e10| j(e20) = e11| j(e20) = e12| j(e20) = e13| j(e20) = e14 )& ( j(e21) = e10| j(e21) = e11| j(e21) = e12| j(e21) = e13| j(e21) = e14 )& ( j(e22) = e10| j(e22) = e11| j(e22) = e12| j(e22) = e13| j(e22) = e14 )& ( j(e23) = e10| j(e23) = e11| j(e23) = e12| j(e23) = e13| j(e23) = e14 )& ( j(e24) = e10| j(e24) = e11| j(e24) = e12| j(e24) = e13| j(e24) = e14 ) )=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))& h(op1(e10,e11)) = op2(h(e10),h(e11))& h(op1(e10,e12)) = op2(h(e10),h(e12))& h(op1(e10,e13)) = op2(h(e10),h(e13))& h(op1(e10,e14)) = op2(h(e10),h(e14))& h(op1(e11,e10)) = op2(h(e11),h(e10))& h(op1(e11,e11)) = op2(h(e11),h(e11))& h(op1(e11,e12)) = op2(h(e11),h(e12))& h(op1(e11,e13)) = op2(h(e11),h(e13))& h(op1(e11,e14)) = op2(h(e11),h(e14))& h(op1(e12,e10)) = op2(h(e12),h(e10))& h(op1(e12,e11)) = op2(h(e12),h(e11))& h(op1(e12,e12)) = op2(h(e12),h(e12))& h(op1(e12,e13)) = op2(h(e12),h(e13))& h(op1(e12,e14)) = op2(h(e12),h(e14))& h(op1(e13,e10)) = op2(h(e13),h(e10))& h(op1(e13,e11)) = op2(h(e13),h(e11))& h(op1(e13,e12)) = op2(h(e13),h(e12))& h(op1(e13,e13)) = op2(h(e13),h(e13))& h(op1(e13,e14)) = op2(h(e13),h(e14))& h(op1(e14,e10)) = op2(h(e14),h(e10))& h(op1(e14,e11)) = op2(h(e14),h(e11))& h(op1(e14,e12)) = op2(h(e14),h(e12))& h(op1(e14,e13)) = op2(h(e14),h(e13))& h(op1(e14,e14)) = op2(h(e14),h(e14))& j(op2(e20,e20)) = op1(j(e20),j(e20))& j(op2(e20,e21)) = op1(j(e20),j(e21))& j(op2(e20,e22)) = op1(j(e20),j(e22))& j(op2(e20,e23)) = op1(j(e20),j(e23))& j(op2(e20,e24)) = op1(j(e20),j(e24))& j(op2(e21,e20)) = op1(j(e21),j(e20))& j(op2(e21,e21)) = op1(j(e21),j(e21))& j(op2(e21,e22)) = op1(j(e21),j(e22))& j(op2(e21,e23)) = op1(j(e21),j(e23))& j(op2(e21,e24)) = op1(j(e21),j(e24))& j(op2(e22,e20)) = op1(j(e22),j(e20))& j(op2(e22,e21)) = op1(j(e22),j(e21))& j(op2(e22,e22)) = op1(j(e22),j(e22))& j(op2(e22,e23)) = op1(j(e22),j(e23))& j(op2(e22,e24)) = op1(j(e22),j(e24))& j(op2(e23,e20)) = op1(j(e23),j(e20))& j(op2(e23,e21)) = op1(j(e23),j(e21))& j(op2(e23,e22)) = op1(j(e23),j(e22))& j(op2(e23,e23)) = op1(j(e23),j(e23))& j(op2(e23,e24)) = op1(j(e23),j(e24))& j(op2(e24,e20)) = op1(j(e24),j(e20))& j(op2(e24,e21)) = op1(j(e24),j(e21))& j(op2(e24,e22)) = op1(j(e24),j(e22))& j(op2(e24,e23)) = op1(j(e24),j(e23))& j(op2(e24,e24)) = op1(j(e24),j(e24))& h(j(e20)) = e20& h(j(e21)) = e21& h(j(e22)) = e22& h(j(e23)) = e23& h(j(e24)) = e24& j(h(e10)) = e10& j(h(e11)) = e11& j(h(e12)) = e12& j(h(e13)) = e13& j(h(e14)) = e14 ) ) )),
% 0.11/0.63 inference(negated_conjecture,[status(cth)],[f6])).
% 0.11/0.63 fof(f13,plain,(
% 0.11/0.63 ~e11=e13),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.63 fof(f16,plain,(
% 0.11/0.63 ~e12=e14),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.63 fof(f18,plain,(
% 0.11/0.63 ~e20=e21),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.63 fof(f19,plain,(
% 0.11/0.63 ~e20=e22),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.63 fof(f53,plain,(
% 0.11/0.63 op1(e10,e10)=e10),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f59,plain,(
% 0.11/0.63 op1(e11,e11)=e14),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f65,plain,(
% 0.11/0.63 op1(e12,e12)=e13),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f71,plain,(
% 0.11/0.63 op1(e13,e13)=e11),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f77,plain,(
% 0.11/0.63 op1(e14,e14)=e12),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f78,plain,(
% 0.11/0.63 op2(e20,e20)=e20),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f84,plain,(
% 0.11/0.63 op2(e21,e21)=e20),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f90,plain,(
% 0.11/0.63 op2(e22,e22)=e20),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f96,plain,(
% 0.11/0.63 op2(e23,e23)=e20),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f102,plain,(
% 0.11/0.63 op2(e24,e24)=e20),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f103,plain,(
% 0.11/0.63 ((((((((((((((h(e10)=e20|h(e10)=e21)|h(e10)=e22)|h(e10)=e23)|h(e10)=e24)&((((h(e11)=e20|h(e11)=e21)|h(e11)=e22)|h(e11)=e23)|h(e11)=e24))&((((h(e12)=e20|h(e12)=e21)|h(e12)=e22)|h(e12)=e23)|h(e12)=e24))&((((h(e13)=e20|h(e13)=e21)|h(e13)=e22)|h(e13)=e23)|h(e13)=e24))&((((h(e14)=e20|h(e14)=e21)|h(e14)=e22)|h(e14)=e23)|h(e14)=e24))&((((j(e20)=e10|j(e20)=e11)|j(e20)=e12)|j(e20)=e13)|j(e20)=e14))&((((j(e21)=e10|j(e21)=e11)|j(e21)=e12)|j(e21)=e13)|j(e21)=e14))&((((j(e22)=e10|j(e22)=e11)|j(e22)=e12)|j(e22)=e13)|j(e22)=e14))&((((j(e23)=e10|j(e23)=e11)|j(e23)=e12)|j(e23)=e13)|j(e23)=e14))&((((j(e24)=e10|j(e24)=e11)|j(e24)=e12)|j(e24)=e13)|j(e24)=e14))&(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((h(op1(e10,e10))=op2(h(e10),h(e10))&h(op1(e10,e11))=op2(h(e10),h(e11)))&h(op1(e10,e12))=op2(h(e10),h(e12)))&h(op1(e10,e13))=op2(h(e10),h(e13)))&h(op1(e10,e14))=op2(h(e10),h(e14)))&h(op1(e11,e10))=op2(h(e11),h(e10)))&h(op1(e11,e11))=op2(h(e11),h(e11)))&h(op1(e11,e12))=op2(h(e11),h(e12)))&h(op1(e11,e13))=op2(h(e11),h(e13)))&h(op1(e11,e14))=op2(h(e11),h(e14)))&h(op1(e12,e10))=op2(h(e12),h(e10)))&h(op1(e12,e11))=op2(h(e12),h(e11)))&h(op1(e12,e12))=op2(h(e12),h(e12)))&h(op1(e12,e13))=op2(h(e12),h(e13)))&h(op1(e12,e14))=op2(h(e12),h(e14)))&h(op1(e13,e10))=op2(h(e13),h(e10)))&h(op1(e13,e11))=op2(h(e13),h(e11)))&h(op1(e13,e12))=op2(h(e13),h(e12)))&h(op1(e13,e13))=op2(h(e13),h(e13)))&h(op1(e13,e14))=op2(h(e13),h(e14)))&h(op1(e14,e10))=op2(h(e14),h(e10)))&h(op1(e14,e11))=op2(h(e14),h(e11)))&h(op1(e14,e12))=op2(h(e14),h(e12)))&h(op1(e14,e13))=op2(h(e14),h(e13)))&h(op1(e14,e14))=op2(h(e14),h(e14)))&j(op2(e20,e20))=op1(j(e20),j(e20)))&j(op2(e20,e21))=op1(j(e20),j(e21)))&j(op2(e20,e22))=op1(j(e20),j(e22)))&j(op2(e20,e23))=op1(j(e20),j(e23)))&j(op2(e20,e24))=op1(j(e20),j(e24)))&j(op2(e21,e20))=op1(j(e21),j(e20)))&j(op2(e21,e21))=op1(j(e21),j(e21)))&j(op2(e21,e22))=op1(j(e21),j(e22)))&j(op2(e21,e23))=op1(j(e21),j(e23)))&j(op2(e21,e24))=op1(j(e21),j(e24)))&j(op2(e22,e20))=op1(j(e22),j(e20)))&j(op2(e22,e21))=op1(j(e22),j(e21)))&j(op2(e22,e22))=op1(j(e22),j(e22)))&j(op2(e22,e23))=op1(j(e22),j(e23)))&j(op2(e22,e24))=op1(j(e22),j(e24)))&j(op2(e23,e20))=op1(j(e23),j(e20)))&j(op2(e23,e21))=op1(j(e23),j(e21)))&j(op2(e23,e22))=op1(j(e23),j(e22)))&j(op2(e23,e23))=op1(j(e23),j(e23)))&j(op2(e23,e24))=op1(j(e23),j(e24)))&j(op2(e24,e20))=op1(j(e24),j(e20)))&j(op2(e24,e21))=op1(j(e24),j(e21)))&j(op2(e24,e22))=op1(j(e24),j(e22)))&j(op2(e24,e23))=op1(j(e24),j(e23)))&j(op2(e24,e24))=op1(j(e24),j(e24)))&h(j(e20))=e20)&h(j(e21))=e21)&h(j(e22))=e22)&h(j(e23))=e23)&h(j(e24))=e24)&j(h(e10))=e10)&j(h(e11))=e11)&j(h(e12))=e12)&j(h(e13))=e13)&j(h(e14))=e14))),
% 0.11/0.63 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.63 fof(f106,plain,(
% 0.11/0.63 h(e12)=e20|h(e12)=e21|h(e12)=e22|h(e12)=e23|h(e12)=e24),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f114,plain,(
% 0.11/0.63 h(op1(e10,e10))=op2(h(e10),h(e10))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f126,plain,(
% 0.11/0.63 h(op1(e12,e12))=op2(h(e12),h(e12))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f139,plain,(
% 0.11/0.63 j(op2(e20,e20))=op1(j(e20),j(e20))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f145,plain,(
% 0.11/0.63 j(op2(e21,e21))=op1(j(e21),j(e21))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f151,plain,(
% 0.11/0.63 j(op2(e22,e22))=op1(j(e22),j(e22))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f157,plain,(
% 0.11/0.63 j(op2(e23,e23))=op1(j(e23),j(e23))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f171,plain,(
% 0.11/0.63 j(h(e12))=e12),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f172,plain,(
% 0.11/0.63 j(h(e13))=e13),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f103])).
% 0.11/0.63 fof(f177,definition,(
% 0.11/0.63 sQ1_spl <=> (h(e10)=e21)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f178,plain,(
% 0.11/0.63 h(e10)=e21|~sQ1_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f177])).
% 0.11/0.63 fof(f180,definition,(
% 0.11/0.63 sQ2_spl <=> (h(e10)=e22)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f181,plain,(
% 0.11/0.63 h(e10)=e22|~sQ2_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f180])).
% 0.11/0.63 fof(f206,definition,(
% 0.11/0.63 sQ10_spl <=> (h(e12)=e20)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f207,plain,(
% 0.11/0.63 h(e12)=e20|~sQ10_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f206])).
% 0.11/0.63 fof(f209,definition,(
% 0.11/0.63 sQ11_spl <=> (h(e12)=e21)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f210,plain,(
% 0.11/0.63 h(e12)=e21|~sQ11_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f209])).
% 0.11/0.63 fof(f212,definition,(
% 0.11/0.63 sQ12_spl <=> (h(e12)=e22)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f213,plain,(
% 0.11/0.63 h(e12)=e22|~sQ12_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f212])).
% 0.11/0.63 fof(f215,definition,(
% 0.11/0.63 sQ13_spl <=> (h(e12)=e23)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f216,plain,(
% 0.11/0.63 h(e12)=e23|~sQ13_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f215])).
% 0.11/0.63 fof(f218,definition,(
% 0.11/0.63 sQ14_spl <=> (h(e12)=e24)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f219,plain,(
% 0.11/0.63 h(e12)=e24|~sQ14_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f218])).
% 0.11/0.63 fof(f221,plain,(
% 0.11/0.63 sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f106,f206,f209,f212,f215,f218])).
% 0.11/0.63 fof(f222,definition,(
% 0.11/0.63 sQ15_spl <=> (h(e13)=e20)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f223,plain,(
% 0.11/0.63 h(e13)=e20|~sQ15_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f222])).
% 0.11/0.63 fof(f263,definition,(
% 0.11/0.63 sQ28_spl <=> (j(e20)=e13)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f264,plain,(
% 0.11/0.63 j(e20)=e13|~sQ28_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f263])).
% 0.11/0.63 fof(f273,definition,(
% 0.11/0.63 sQ31_spl <=> (j(e21)=e11)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f274,plain,(
% 0.11/0.63 j(e21)=e11|~sQ31_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f273])).
% 0.11/0.63 fof(f292,definition,(
% 0.11/0.63 sQ37_spl <=> (j(e22)=e12)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f293,plain,(
% 0.11/0.63 j(e22)=e12|~sQ37_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f292])).
% 0.11/0.63 fof(f308,definition,(
% 0.11/0.63 sQ42_spl <=> (j(e23)=e12)),
% 0.11/0.63 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.11/0.63 fof(f309,plain,(
% 0.11/0.63 j(e23)=e12|~sQ42_spl),
% 0.11/0.63 inference(component_clause,[status(thm)],[f308])).
% 0.11/0.63 fof(f480,plain,(
% 0.11/0.63 h(op1(e12,e12))=op2(h(e12),e24)|~sQ14_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f219,f126])).
% 0.11/0.63 fof(f483,plain,(
% 0.11/0.63 h(op1(e12,e12))=op2(e24,e24)|~sQ14_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f219,f480])).
% 0.11/0.63 fof(f531,plain,(
% 0.11/0.63 h(op1(e12,e12))=op2(e20,h(e12))|~sQ10_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f207,f126])).
% 0.11/0.63 fof(f532,plain,(
% 0.11/0.63 h(op1(e12,e12))=op2(e20,e20)|~sQ10_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f207,f531])).
% 0.11/0.63 fof(f597,plain,(
% 0.11/0.63 j(op2(e23,e23))=op1(j(e23),e12)|~sQ42_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f309,f157])).
% 0.11/0.63 fof(f606,plain,(
% 0.11/0.63 j(op2(e23,e23))=op1(e12,e12)|~sQ42_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f309,f597])).
% 0.11/0.63 fof(f684,plain,(
% 0.11/0.63 j(e20)=e13|~sQ15_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f223,f172])).
% 0.11/0.63 fof(f688,plain,(
% 0.11/0.63 sQ28_spl|~sQ15_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f684,f263,f222])).
% 0.11/0.63 fof(f720,plain,(
% 0.11/0.63 h(op1(e10,e10))=op2(e22,h(e10))|~sQ2_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f181,f114])).
% 0.11/0.63 fof(f721,plain,(
% 0.11/0.63 h(op1(e10,e10))=op2(e22,e22)|~sQ2_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f181,f720])).
% 0.11/0.63 fof(f724,plain,(
% 0.11/0.63 h(e10)=op2(e22,e22)|~sQ2_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f53,f721])).
% 0.11/0.63 fof(f725,plain,(
% 0.11/0.63 e22=op2(e22,e22)|~sQ2_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f181,f724])).
% 0.11/0.63 fof(f729,plain,(
% 0.11/0.63 h(e10)=op2(h(e10),h(e10))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f53,f114])).
% 0.11/0.63 fof(f770,plain,(
% 0.11/0.63 j(op2(e22,e22))=op1(e12,j(e22))|~sQ37_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f293,f151])).
% 0.11/0.63 fof(f771,plain,(
% 0.11/0.63 j(op2(e22,e22))=op1(e12,e12)|~sQ37_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f293,f770])).
% 0.11/0.63 fof(f880,plain,(
% 0.11/0.63 h(e13)=op2(h(e12),h(e12))),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f65,f126])).
% 0.11/0.63 fof(f926,plain,(
% 0.11/0.63 j(e22)=e12|~sQ12_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f213,f171])).
% 0.11/0.63 fof(f982,plain,(
% 0.11/0.63 j(op2(e20,e20))=op1(j(e20),e13)|~sQ28_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f264,f139])).
% 0.11/0.63 fof(f991,plain,(
% 0.11/0.63 j(op2(e20,e20))=op1(e13,e13)|~sQ28_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f264,f982])).
% 0.11/0.63 fof(f992,plain,(
% 0.11/0.63 j(op2(e20,e20))=e11|~sQ28_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f71,f991])).
% 0.11/0.63 fof(f1004,plain,(
% 0.11/0.63 h(e10)=op2(h(e10),e21)|~sQ1_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f178,f729])).
% 0.11/0.63 fof(f1007,plain,(
% 0.11/0.63 e21=op2(h(e10),e21)|~sQ1_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f178,f1004])).
% 0.11/0.63 fof(f1008,plain,(
% 0.11/0.63 e21=op2(e21,e21)|~sQ1_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f178,f1007])).
% 0.11/0.63 fof(f1077,plain,(
% 0.11/0.63 j(op2(e22,e22))=e13|~sQ37_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f65,f771])).
% 0.11/0.63 fof(f1085,plain,(
% 0.11/0.63 sQ37_spl|~sQ12_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f926,f292,f212])).
% 0.11/0.63 fof(f1108,plain,(
% 0.11/0.63 j(e20)=op1(j(e20),j(e20))),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f78,f139])).
% 0.11/0.63 fof(f1171,plain,(
% 0.11/0.63 j(op2(e21,e21))=op1(j(e21),e11)|~sQ31_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f274,f145])).
% 0.11/0.63 fof(f1177,plain,(
% 0.11/0.63 j(op2(e21,e21))=op1(e11,e11)|~sQ31_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f274,f1171])).
% 0.11/0.63 fof(f1178,plain,(
% 0.11/0.63 j(op2(e21,e21))=e14|~sQ31_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f59,f1177])).
% 0.11/0.63 fof(f1407,plain,(
% 0.11/0.63 h(e13)=op2(e21,h(e12))|~sQ11_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f210,f880])).
% 0.11/0.63 fof(f1408,plain,(
% 0.11/0.63 h(e13)=op2(e21,e21)|~sQ11_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f210,f1407])).
% 0.11/0.63 fof(f1409,plain,(
% 0.11/0.63 h(e13)=e20|~sQ11_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f84,f1408])).
% 0.11/0.63 fof(f1441,plain,(
% 0.11/0.63 sQ15_spl|~sQ11_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f1409,f222,f209])).
% 0.11/0.63 fof(f1444,plain,(
% 0.11/0.63 j(e20)=e13|~sQ37_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f90,f1077])).
% 0.11/0.63 fof(f1448,plain,(
% 0.11/0.63 j(e20)=e11|~sQ28_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f78,f992])).
% 0.11/0.63 fof(f1482,plain,(
% 0.11/0.63 e11=e13|~sQ28_spl),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f1448,f264])).
% 0.11/0.63 fof(f1483,plain,(
% 0.11/0.63 $false|~sQ28_spl),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1482,f13])).
% 0.11/0.63 fof(f1484,plain,(
% 0.11/0.63 ~sQ28_spl),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f1483])).
% 0.11/0.63 fof(f1507,plain,(
% 0.11/0.63 e21=e20|~sQ1_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f84,f1008])).
% 0.11/0.63 fof(f1508,plain,(
% 0.11/0.63 $false|~sQ1_spl),
% 0.11/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1507,f18])).
% 0.11/0.63 fof(f1509,plain,(
% 0.11/0.63 ~sQ1_spl),
% 0.11/0.63 inference(contradiction_clause,[status(thm)],[f1508])).
% 0.11/0.63 fof(f1514,plain,(
% 0.11/0.63 sQ28_spl|~sQ37_spl),
% 0.11/0.63 inference(split_clause,[status(thm)],[f1444,f263,f292])).
% 0.11/0.63 fof(f1516,plain,(
% 0.11/0.63 j(op2(e23,e23))=e13|~sQ42_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f65,f606])).
% 0.11/0.63 fof(f1518,plain,(
% 0.11/0.63 j(e20)=e14|~sQ31_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f84,f1178])).
% 0.11/0.63 fof(f1529,plain,(
% 0.11/0.63 e22=e20|~sQ2_spl),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f90,f725])).
% 0.15/0.64 fof(f1530,plain,(
% 0.15/0.64 $false|~sQ2_spl),
% 0.15/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1529,f19])).
% 0.15/0.64 fof(f1531,plain,(
% 0.15/0.64 ~sQ2_spl),
% 0.15/0.64 inference(contradiction_clause,[status(thm)],[f1530])).
% 0.15/0.64 fof(f1637,plain,(
% 0.15/0.64 j(e20)=op1(j(e20),e14)|~sQ31_spl),
% 0.15/0.64 inference(backward_demodulation,[status(thm)],[f1518,f1108])).
% 0.15/0.64 fof(f1641,plain,(
% 0.15/0.64 e14=op1(j(e20),e14)|~sQ31_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f1518,f1637])).
% 0.15/0.64 fof(f1642,plain,(
% 0.15/0.64 e14=op1(e14,e14)|~sQ31_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f1518,f1641])).
% 0.15/0.64 fof(f1643,plain,(
% 0.15/0.64 e14=e12|~sQ31_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f77,f1642])).
% 0.15/0.64 fof(f1644,plain,(
% 0.15/0.64 $false|~sQ31_spl),
% 0.15/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1643,f16])).
% 0.15/0.64 fof(f1645,plain,(
% 0.15/0.64 ~sQ31_spl),
% 0.15/0.64 inference(contradiction_clause,[status(thm)],[f1644])).
% 0.15/0.64 fof(f1656,plain,(
% 0.15/0.64 h(e13)=op2(e20,e20)|~sQ10_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f65,f532])).
% 0.15/0.64 fof(f1657,plain,(
% 0.15/0.64 h(e13)=e20|~sQ10_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f78,f1656])).
% 0.15/0.64 fof(f1697,plain,(
% 0.15/0.64 h(e13)=op2(e24,e24)|~sQ14_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f65,f483])).
% 0.15/0.64 fof(f1698,plain,(
% 0.15/0.64 h(e13)=e20|~sQ14_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f102,f1697])).
% 0.15/0.64 fof(f1832,plain,(
% 0.15/0.64 sQ15_spl|~sQ10_spl),
% 0.15/0.64 inference(split_clause,[status(thm)],[f1657,f222,f206])).
% 0.15/0.64 fof(f1864,plain,(
% 0.15/0.64 j(e20)=e13|~sQ42_spl),
% 0.15/0.64 inference(forward_demodulation,[status(thm)],[f96,f1516])).
% 0.15/0.64 fof(f1917,plain,(
% 0.15/0.64 sQ28_spl|~sQ42_spl),
% 0.15/0.64 inference(split_clause,[status(thm)],[f1864,f263,f308])).
% 0.15/0.64 fof(f1942,plain,(
% 0.15/0.64 j(e23)=e12|~sQ13_spl),
% 0.15/0.64 inference(backward_demodulation,[status(thm)],[f216,f171])).
% 0.15/0.64 fof(f1948,plain,(
% 0.15/0.64 sQ42_spl|~sQ13_spl),
% 0.15/0.64 inference(split_clause,[status(thm)],[f1942,f308,f215])).
% 0.15/0.64 fof(f1953,plain,(
% 0.15/0.64 sQ15_spl|~sQ14_spl),
% 0.15/0.64 inference(split_clause,[status(thm)],[f1698,f222,f218])).
% 0.15/0.64 fof(f1954,plain,(
% 0.15/0.64 $false),
% 0.15/0.64 inference(sat_refutation,[status(thm)],[f221,f688,f1085,f1441,f1484,f1509,f1514,f1531,f1645,f1832,f1917,f1948,f1953])).
% 0.15/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.65 % Elapsed time: 0.083146 seconds
% 0.15/0.65 % CPU time: 0.378810 seconds
% 0.15/0.65 % Total memory used: 114.903 MB
% 0.15/0.65 % Net memory used: 114.644 MB
%------------------------------------------------------------------------------