%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% 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 11:49:35 AM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:55:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 ( e10 != e11& e10 != e12& e10 != e13& e10 != e14& e11 != e12& e11 != e13& e11 != e14& e12 != e13& e12 != e14& e13 != e14 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 ( e20 != e21& e20 != e22& e20 != e23& e20 != e24& e21 != e22& e21 != e23& e21 != e24& e22 != e23& e22 != e24& e23 != e24 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,axiom,(
% 0.13/0.42 ( 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 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,axiom,(
% 0.13/0.42 ( 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) = e22& op2(e21,e22) = e23& op2(e21,e23) = e24& op2(e21,e24) = e20& op2(e22,e20) = e22& op2(e22,e21) = e24& op2(e22,e22) = e21& op2(e22,e23) = e20& op2(e22,e24) = e23& op2(e23,e20) = e23& op2(e23,e21) = e20& op2(e23,e22) = e24& op2(e23,e23) = e21& op2(e23,e24) = e22& op2(e24,e20) = e24& op2(e24,e21) = e23& op2(e24,e22) = e20& op2(e24,e23) = e22& op2(e24,e24) = e21 ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,conjecture,(
% 0.13/0.42 ( ( ( 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 ) ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,negated_conjecture,(
% 0.13/0.42 ~(( ( ( 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 ) ) )),
% 0.13/0.42 inference(negated_conjecture,[status(cth)],[f6])).
% 0.13/0.42 fof(f17,plain,(
% 0.13/0.42 ~e13=e14),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 ~e21=e22),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f53,plain,(
% 0.13/0.42 op1(e10,e10)=e10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 op1(e11,e11)=e14),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f65,plain,(
% 0.13/0.42 op1(e12,e12)=e13),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f67,plain,(
% 0.13/0.42 op1(e12,e14)=e11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f71,plain,(
% 0.13/0.42 op1(e13,e13)=e11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f74,plain,(
% 0.13/0.42 op1(e14,e11)=e13),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f77,plain,(
% 0.13/0.42 op1(e14,e14)=e12),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f84,plain,(
% 0.13/0.42 op2(e21,e21)=e22),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f85,plain,(
% 0.13/0.42 op2(e21,e22)=e23),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f90,plain,(
% 0.13/0.42 op2(e22,e22)=e21),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f96,plain,(
% 0.13/0.42 op2(e23,e23)=e21),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f102,plain,(
% 0.13/0.42 op2(e24,e24)=e21),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f103,plain,(
% 0.13/0.42 ((((((((((((((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))),
% 0.13/0.42 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.42 fof(f112,plain,(
% 0.13/0.42 j(e23)=e10|j(e23)=e11|j(e23)=e12|j(e23)=e13|j(e23)=e14),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f114,plain,(
% 0.13/0.42 h(op1(e10,e10))=op2(h(e10),h(e10))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f120,plain,(
% 0.13/0.42 h(op1(e11,e11))=op2(h(e11),h(e11))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f126,plain,(
% 0.13/0.42 h(op1(e12,e12))=op2(h(e12),h(e12))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f132,plain,(
% 0.13/0.42 h(op1(e13,e13))=op2(h(e13),h(e13))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f138,plain,(
% 0.13/0.42 h(op1(e14,e14))=op2(h(e14),h(e14))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f145,plain,(
% 0.13/0.42 j(op2(e21,e21))=op1(j(e21),j(e21))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f146,plain,(
% 0.13/0.42 j(op2(e21,e22))=op1(j(e21),j(e22))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f151,plain,(
% 0.13/0.42 j(op2(e22,e22))=op1(j(e22),j(e22))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f157,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(j(e23),j(e23))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f163,plain,(
% 0.13/0.42 j(op2(e24,e24))=op1(j(e24),j(e24))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f165,plain,(
% 0.13/0.42 h(j(e21))=e21),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f166,plain,(
% 0.13/0.42 h(j(e22))=e22),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f167,plain,(
% 0.13/0.42 h(j(e23))=e23),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f169,plain,(
% 0.13/0.42 j(h(e10))=e10),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f170,plain,(
% 0.13/0.42 j(h(e11))=e11),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f173,plain,(
% 0.13/0.42 j(h(e14))=e14),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.13/0.42 fof(f177,definition,(
% 0.13/0.42 sQ1_spl <=> (h(e10)=e21)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f178,plain,(
% 0.13/0.42 h(e10)=e21|~sQ1_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f177])).
% 0.13/0.42 fof(f180,definition,(
% 0.13/0.42 sQ2_spl <=> (h(e10)=e22)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f181,plain,(
% 0.13/0.42 h(e10)=e22|~sQ2_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.42 fof(f193,definition,(
% 0.13/0.42 sQ6_spl <=> (h(e11)=e21)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f194,plain,(
% 0.13/0.42 h(e11)=e21|~sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.42 fof(f195,plain,(
% 0.13/0.42 ~h(e11)=e21|sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.42 fof(f199,definition,(
% 0.13/0.42 sQ8_spl <=> (h(e11)=e23)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f200,plain,(
% 0.13/0.42 h(e11)=e23|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.13/0.42 fof(f201,plain,(
% 0.13/0.42 ~h(e11)=e23|sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.13/0.42 fof(f209,definition,(
% 0.13/0.42 sQ11_spl <=> (h(e12)=e21)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f210,plain,(
% 0.13/0.42 h(e12)=e21|~sQ11_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f209])).
% 0.13/0.42 fof(f225,definition,(
% 0.13/0.42 sQ16_spl <=> (h(e13)=e21)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f226,plain,(
% 0.13/0.42 h(e13)=e21|~sQ16_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f225])).
% 0.13/0.42 fof(f241,definition,(
% 0.13/0.42 sQ21_spl <=> (h(e14)=e21)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f242,plain,(
% 0.13/0.42 h(e14)=e21|~sQ21_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.42 fof(f244,definition,(
% 0.13/0.42 sQ22_spl <=> (h(e14)=e22)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f245,plain,(
% 0.13/0.42 h(e14)=e22|~sQ22_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.42 fof(f246,plain,(
% 0.13/0.42 ~h(e14)=e22|sQ22_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f244])).
% 0.13/0.42 fof(f247,definition,(
% 0.13/0.42 sQ23_spl <=> (h(e14)=e23)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f248,plain,(
% 0.13/0.42 h(e14)=e23|~sQ23_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.42 fof(f270,definition,(
% 0.13/0.42 sQ30_spl <=> (j(e21)=e10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f271,plain,(
% 0.13/0.42 j(e21)=e10|~sQ30_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f270])).
% 0.13/0.42 fof(f273,definition,(
% 0.13/0.42 sQ31_spl <=> (j(e21)=e11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f274,plain,(
% 0.13/0.42 j(e21)=e11|~sQ31_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f273])).
% 0.13/0.42 fof(f276,definition,(
% 0.13/0.42 sQ32_spl <=> (j(e21)=e12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f277,plain,(
% 0.13/0.42 j(e21)=e12|~sQ32_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f276])).
% 0.13/0.42 fof(f278,plain,(
% 0.13/0.42 ~j(e21)=e12|sQ32_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f276])).
% 0.13/0.42 fof(f279,definition,(
% 0.13/0.42 sQ33_spl <=> (j(e21)=e13)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f280,plain,(
% 0.13/0.42 j(e21)=e13|~sQ33_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f279])).
% 0.13/0.42 fof(f282,definition,(
% 0.13/0.42 sQ34_spl <=> (j(e21)=e14)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f283,plain,(
% 0.13/0.42 j(e21)=e14|~sQ34_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f282])).
% 0.13/0.42 fof(f286,definition,(
% 0.13/0.42 sQ35_spl <=> (j(e22)=e10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f287,plain,(
% 0.13/0.42 j(e22)=e10|~sQ35_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.42 fof(f288,plain,(
% 0.13/0.42 ~j(e22)=e10|sQ35_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.42 fof(f289,definition,(
% 0.13/0.42 sQ36_spl <=> (j(e22)=e11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f290,plain,(
% 0.13/0.42 j(e22)=e11|~sQ36_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f289])).
% 0.13/0.42 fof(f292,definition,(
% 0.13/0.42 sQ37_spl <=> (j(e22)=e12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f293,plain,(
% 0.13/0.42 j(e22)=e12|~sQ37_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f292])).
% 0.13/0.42 fof(f294,plain,(
% 0.13/0.42 ~j(e22)=e12|sQ37_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f292])).
% 0.13/0.42 fof(f302,definition,(
% 0.13/0.42 sQ40_spl <=> (j(e23)=e10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f303,plain,(
% 0.13/0.42 j(e23)=e10|~sQ40_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f302])).
% 0.13/0.42 fof(f305,definition,(
% 0.13/0.42 sQ41_spl <=> (j(e23)=e11)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f306,plain,(
% 0.13/0.42 j(e23)=e11|~sQ41_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.42 fof(f308,definition,(
% 0.13/0.42 sQ42_spl <=> (j(e23)=e12)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f309,plain,(
% 0.13/0.42 j(e23)=e12|~sQ42_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f308])).
% 0.13/0.42 fof(f311,definition,(
% 0.13/0.42 sQ43_spl <=> (j(e23)=e13)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f312,plain,(
% 0.13/0.42 j(e23)=e13|~sQ43_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f311])).
% 0.13/0.42 fof(f314,definition,(
% 0.13/0.42 sQ44_spl <=> (j(e23)=e14)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 j(e23)=e14|~sQ44_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f314])).
% 0.13/0.42 fof(f317,plain,(
% 0.13/0.42 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl|sQ44_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f112,f302,f305,f308,f311,f314])).
% 0.13/0.42 fof(f318,definition,(
% 0.13/0.42 sQ45_spl <=> (j(e24)=e10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f319,plain,(
% 0.13/0.42 j(e24)=e10|~sQ45_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f318])).
% 0.13/0.42 fof(f352,plain,(
% 0.13/0.42 e13=e14|~sQ33_spl|~sQ34_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f280,f283])).
% 0.13/0.42 fof(f353,plain,(
% 0.13/0.42 $false|~sQ33_spl|~sQ34_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f352,f17])).
% 0.13/0.42 fof(f354,plain,(
% 0.13/0.42 ~sQ33_spl|~sQ34_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f353])).
% 0.13/0.42 fof(f400,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e10,j(e23))|~sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f303,f157])).
% 0.13/0.42 fof(f401,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e10,e10)|~sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f303,f400])).
% 0.13/0.42 fof(f412,plain,(
% 0.13/0.42 j(op2(e24,e24))=op1(e10,j(e24))|~sQ45_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f319,f163])).
% 0.13/0.42 fof(f413,plain,(
% 0.13/0.42 j(op2(e24,e24))=op1(e10,e10)|~sQ45_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f319,f412])).
% 0.13/0.42 fof(f444,plain,(
% 0.13/0.42 e21=e22|~sQ21_spl|~sQ22_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f242,f245])).
% 0.13/0.42 fof(f445,plain,(
% 0.13/0.42 $false|~sQ21_spl|~sQ22_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f444,f22])).
% 0.13/0.42 fof(f446,plain,(
% 0.13/0.42 ~sQ21_spl|~sQ22_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f445])).
% 0.13/0.42 fof(f447,plain,(
% 0.13/0.42 h(e10)=e22|~sQ35_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f287,f166])).
% 0.13/0.42 fof(f583,plain,(
% 0.13/0.42 h(op1(e13,e13))=op2(h(e13),e21)|~sQ16_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f226,f132])).
% 0.13/0.42 fof(f588,plain,(
% 0.13/0.42 h(op1(e13,e13))=op2(e21,e21)|~sQ16_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f226,f583])).
% 0.13/0.42 fof(f597,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(j(e23),e12)|~sQ42_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f309,f157])).
% 0.13/0.42 fof(f606,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e12,e12)|~sQ42_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f309,f597])).
% 0.13/0.42 fof(f645,plain,(
% 0.13/0.42 j(op2(e21,e22))=op1(e12,j(e22))|~sQ32_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f277,f146])).
% 0.13/0.42 fof(f697,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e11,j(e23))|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f306,f157])).
% 0.13/0.42 fof(f698,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e11,e11)|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f306,f697])).
% 0.13/0.42 fof(f701,plain,(
% 0.13/0.42 h(e11)=e23|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f306,f167])).
% 0.13/0.42 fof(f720,plain,(
% 0.13/0.42 h(op1(e10,e10))=op2(e22,h(e10))|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f181,f114])).
% 0.13/0.42 fof(f721,plain,(
% 0.13/0.42 h(op1(e10,e10))=op2(e22,e22)|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f181,f720])).
% 0.13/0.42 fof(f724,plain,(
% 0.13/0.42 h(e10)=op2(e22,e22)|~sQ2_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f53,f721])).
% 0.13/0.42 fof(f725,plain,(
% 0.13/0.42 e22=op2(e22,e22)|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f181,f724])).
% 0.13/0.42 fof(f737,plain,(
% 0.13/0.42 sQ2_spl|~sQ35_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f447,f180,f286])).
% 0.13/0.42 fof(f746,plain,(
% 0.13/0.42 j(op2(e23,e23))=e14|~sQ41_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f59,f698])).
% 0.13/0.42 fof(f770,plain,(
% 0.13/0.42 j(op2(e22,e22))=op1(e12,j(e22))|~sQ37_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f293,f151])).
% 0.13/0.42 fof(f771,plain,(
% 0.13/0.42 j(op2(e22,e22))=op1(e12,e12)|~sQ37_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f293,f770])).
% 0.13/0.42 fof(f781,plain,(
% 0.13/0.42 ~e23=e23|~sQ41_spl|sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f701,f201])).
% 0.13/0.42 fof(f782,plain,(
% 0.13/0.42 $false|~sQ41_spl|sQ8_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f781])).
% 0.13/0.42 fof(f783,plain,(
% 0.13/0.42 ~sQ41_spl|sQ8_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f782])).
% 0.13/0.42 fof(f791,plain,(
% 0.13/0.42 j(op2(e23,e23))=e10|~sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f53,f401])).
% 0.13/0.42 fof(f832,plain,(
% 0.13/0.42 j(e22)=e14|~sQ22_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f245,f173])).
% 0.13/0.42 fof(f866,plain,(
% 0.13/0.42 h(e14)=op2(h(e11),h(e11))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f59,f120])).
% 0.13/0.42 fof(f880,plain,(
% 0.13/0.42 h(e13)=op2(h(e12),h(e12))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f65,f126])).
% 0.13/0.42 fof(f887,plain,(
% 0.13/0.42 h(e11)=op2(h(e13),h(e13))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f71,f132])).
% 0.13/0.42 fof(f907,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e13,j(e23))|~sQ43_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f312,f157])).
% 0.13/0.42 fof(f908,plain,(
% 0.13/0.42 j(op2(e23,e23))=op1(e13,e13)|~sQ43_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f312,f907])).
% 0.13/0.42 fof(f909,plain,(
% 0.13/0.42 j(op2(e23,e23))=e11|~sQ43_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f71,f908])).
% 0.13/0.42 fof(f953,plain,(
% 0.13/0.42 j(op2(e22,e22))=op1(e14,j(e22))|~sQ22_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f832,f151])).
% 0.13/0.42 fof(f954,plain,(
% 0.13/0.42 j(op2(e22,e22))=op1(e14,e14)|~sQ22_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f832,f953])).
% 0.13/0.42 fof(f1003,plain,(
% 0.13/0.42 j(e21)=e10|~sQ1_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f178,f169])).
% 0.13/0.42 fof(f1006,plain,(
% 0.13/0.42 sQ30_spl|~sQ1_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1003,f270,f177])).
% 0.13/0.42 fof(f1019,plain,(
% 0.13/0.42 j(op2(e21,e22))=op1(e12,e14)|~sQ22_spl|~sQ32_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f832,f645])).
% 0.13/0.42 fof(f1020,plain,(
% 0.13/0.42 j(op2(e21,e22))=e11|~sQ22_spl|~sQ32_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f67,f1019])).
% 0.13/0.42 fof(f1077,plain,(
% 0.13/0.42 j(op2(e22,e22))=e13|~sQ37_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f771])).
% 0.13/0.42 fof(f1173,plain,(
% 0.13/0.42 h(e11)=e21|~sQ31_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f274,f165])).
% 0.13/0.42 fof(f1180,plain,(
% 0.13/0.42 sQ6_spl|~sQ31_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1173,f193,f273])).
% 0.13/0.42 fof(f1239,plain,(
% 0.13/0.42 j(e21)=e14|~sQ21_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f242,f173])).
% 0.13/0.42 fof(f1240,plain,(
% 0.13/0.42 h(e12)=op2(h(e14),h(e14))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f77,f138])).
% 0.13/0.42 fof(f1326,plain,(
% 0.13/0.42 j(e23)=op1(j(e21),j(e22))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f85,f146])).
% 0.13/0.42 fof(f1328,plain,(
% 0.13/0.42 j(e23)=e11|~sQ22_spl|~sQ32_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f85,f1020])).
% 0.13/0.42 fof(f1337,plain,(
% 0.13/0.42 j(op2(e22,e22))=e12|~sQ22_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f77,f954])).
% 0.13/0.42 fof(f1374,plain,(
% 0.13/0.42 h(e14)=op2(e23,h(e11))|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f200,f866])).
% 0.13/0.42 fof(f1375,plain,(
% 0.13/0.42 h(e14)=op2(e23,e23)|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f200,f1374])).
% 0.13/0.42 fof(f1392,plain,(
% 0.13/0.42 sQ41_spl|~sQ22_spl|~sQ32_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1328,f305,f244,f276])).
% 0.13/0.42 fof(f1409,plain,(
% 0.13/0.42 j(op2(e23,e23))=e13|~sQ42_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f65,f606])).
% 0.13/0.42 fof(f1467,plain,(
% 0.13/0.42 j(e23)=op1(j(e21),e11)|~sQ36_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f290,f1326])).
% 0.13/0.42 fof(f1480,plain,(
% 0.13/0.42 j(e21)=op1(j(e22),j(e22))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f90,f151])).
% 0.13/0.42 fof(f1481,plain,(
% 0.13/0.42 j(e21)=op1(e11,j(e22))|~sQ36_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f290,f1480])).
% 0.13/0.42 fof(f1482,plain,(
% 0.13/0.42 j(e21)=op1(e11,e11)|~sQ36_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f290,f1481])).
% 0.13/0.42 fof(f1484,plain,(
% 0.13/0.42 j(e23)=op1(e14,e11)|~sQ36_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1493,f1467])).
% 0.13/0.42 fof(f1493,plain,(
% 0.13/0.42 j(e21)=e14|~sQ36_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f59,f1482])).
% 0.13/0.42 fof(f1495,plain,(
% 0.13/0.42 j(e23)=e13|~sQ36_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f74,f1484])).
% 0.13/0.42 fof(f1514,plain,(
% 0.13/0.42 j(e22)=op1(j(e21),j(e21))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f84,f145])).
% 0.13/0.42 fof(f1525,plain,(
% 0.13/0.42 h(e14)=op2(e21,h(e11))|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f194,f866])).
% 0.13/0.42 fof(f1526,plain,(
% 0.13/0.42 h(e14)=op2(e21,e21)|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f194,f1525])).
% 0.13/0.42 fof(f1527,plain,(
% 0.13/0.42 h(e14)=e22|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f84,f1526])).
% 0.13/0.42 fof(f1528,plain,(
% 0.13/0.42 $false|sQ22_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1527,f246])).
% 0.13/0.42 fof(f1529,plain,(
% 0.13/0.42 sQ22_spl|~sQ6_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1528])).
% 0.13/0.42 fof(f1533,plain,(
% 0.13/0.42 j(e21)=e12|~sQ22_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f90,f1337])).
% 0.13/0.42 fof(f1534,plain,(
% 0.13/0.42 $false|sQ32_spl|~sQ22_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1533,f278])).
% 0.13/0.42 fof(f1535,plain,(
% 0.13/0.42 sQ32_spl|~sQ22_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1534])).
% 0.13/0.42 fof(f1536,plain,(
% 0.13/0.42 h(e14)=e21|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f1375])).
% 0.13/0.42 fof(f1561,plain,(
% 0.13/0.42 j(e21)=e11|~sQ43_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f909])).
% 0.13/0.42 fof(f1581,plain,(
% 0.13/0.42 h(e11)=op2(e21,e21)|~sQ16_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f71,f588])).
% 0.13/0.42 fof(f1582,plain,(
% 0.13/0.42 h(e11)=e22|~sQ16_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f84,f1581])).
% 0.13/0.42 fof(f1601,plain,(
% 0.13/0.42 j(e21)=e10|~sQ40_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f791])).
% 0.13/0.42 fof(f1610,plain,(
% 0.13/0.42 sQ31_spl|~sQ43_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1561,f273,f311])).
% 0.13/0.42 fof(f1642,plain,(
% 0.13/0.42 sQ30_spl|~sQ40_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1601,f270,f302])).
% 0.13/0.42 fof(f1647,plain,(
% 0.13/0.42 sQ34_spl|~sQ21_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1239,f282,f241])).
% 0.13/0.42 fof(f1648,plain,(
% 0.13/0.42 j(e21)=op1(e10,e10)|~sQ45_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f102,f413])).
% 0.13/0.42 fof(f1649,plain,(
% 0.13/0.42 j(e21)=e10|~sQ45_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f53,f1648])).
% 0.13/0.42 fof(f1663,plain,(
% 0.13/0.42 j(e21)=e13|~sQ42_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f1409])).
% 0.13/0.42 fof(f1674,plain,(
% 0.13/0.42 sQ21_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1536,f241,f199])).
% 0.13/0.42 fof(f1687,plain,(
% 0.13/0.42 j(e21)=e14|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f746])).
% 0.13/0.42 fof(f1696,plain,(
% 0.13/0.42 e22=e21|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f90,f725])).
% 0.13/0.42 fof(f1697,plain,(
% 0.13/0.42 $false|~sQ2_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1696,f22])).
% 0.13/0.42 fof(f1698,plain,(
% 0.13/0.42 ~sQ2_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1697])).
% 0.13/0.42 fof(f1734,plain,(
% 0.13/0.42 h(e12)=op2(h(e14),e23)|~sQ23_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f248,f1240])).
% 0.13/0.42 fof(f1740,plain,(
% 0.13/0.42 h(e12)=op2(e23,e23)|~sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f248,f1734])).
% 0.13/0.42 fof(f1741,plain,(
% 0.13/0.42 h(e12)=e21|~sQ23_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f96,f1740])).
% 0.13/0.42 fof(f1751,plain,(
% 0.13/0.42 j(e22)=op1(j(e21),e10)|~sQ30_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f271,f1514])).
% 0.13/0.42 fof(f1763,plain,(
% 0.13/0.42 j(e22)=op1(e10,e10)|~sQ30_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f271,f1751])).
% 0.13/0.42 fof(f1764,plain,(
% 0.13/0.42 j(e22)=e10|~sQ30_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f53,f1763])).
% 0.13/0.42 fof(f1765,plain,(
% 0.13/0.42 $false|sQ35_spl|~sQ30_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1764,f288])).
% 0.13/0.42 fof(f1766,plain,(
% 0.13/0.42 sQ35_spl|~sQ30_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1765])).
% 0.13/0.42 fof(f1768,plain,(
% 0.13/0.42 sQ43_spl|~sQ36_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1495,f311,f289])).
% 0.13/0.42 fof(f1838,plain,(
% 0.13/0.42 j(e22)=op1(e14,j(e21))|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1687,f1514])).
% 0.13/0.42 fof(f1839,plain,(
% 0.13/0.42 j(e22)=op1(e14,e14)|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1687,f1838])).
% 0.13/0.42 fof(f1840,plain,(
% 0.13/0.42 j(e22)=e12|~sQ41_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f77,f1839])).
% 0.13/0.42 fof(f1841,plain,(
% 0.13/0.42 $false|sQ37_spl|~sQ41_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1840,f294])).
% 0.13/0.42 fof(f1842,plain,(
% 0.13/0.42 sQ37_spl|~sQ41_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1841])).
% 0.13/0.42 fof(f1847,plain,(
% 0.13/0.42 j(e21)=e13|~sQ37_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f90,f1077])).
% 0.13/0.42 fof(f1875,plain,(
% 0.13/0.42 sQ11_spl|~sQ23_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1741,f209,f247])).
% 0.13/0.42 fof(f1912,plain,(
% 0.13/0.42 h(e13)=e21|~sQ42_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1663,f165])).
% 0.13/0.42 fof(f1915,plain,(
% 0.13/0.42 sQ16_spl|~sQ42_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1912,f225,f308])).
% 0.13/0.42 fof(f1920,plain,(
% 0.13/0.42 sQ33_spl|~sQ37_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1847,f279,f292])).
% 0.13/0.42 fof(f1959,plain,(
% 0.13/0.42 h(e13)=op2(h(e12),e21)|~sQ11_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f210,f880])).
% 0.13/0.42 fof(f1962,plain,(
% 0.13/0.42 h(e13)=op2(e21,e21)|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f210,f1959])).
% 0.13/0.42 fof(f1963,plain,(
% 0.13/0.42 h(e13)=e22|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f84,f1962])).
% 0.13/0.42 fof(f1975,plain,(
% 0.13/0.42 j(e22)=e11|~sQ16_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1582,f170])).
% 0.13/0.42 fof(f1991,plain,(
% 0.13/0.42 sQ36_spl|~sQ16_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1975,f289,f225])).
% 0.13/0.42 fof(f2047,plain,(
% 0.13/0.42 sQ30_spl|~sQ45_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1649,f270,f318])).
% 0.13/0.42 fof(f2055,plain,(
% 0.13/0.42 h(e14)=e23|~sQ44_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f315,f167])).
% 0.13/0.42 fof(f2064,plain,(
% 0.13/0.42 sQ23_spl|~sQ44_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f2055,f247,f314])).
% 0.13/0.42 fof(f2101,plain,(
% 0.13/0.42 h(e11)=op2(h(e13),e22)|~sQ11_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1963,f887])).
% 0.13/0.42 fof(f2103,plain,(
% 0.13/0.42 h(e11)=op2(e22,e22)|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1963,f2101])).
% 0.13/0.42 fof(f2104,plain,(
% 0.13/0.42 h(e11)=e21|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f90,f2103])).
% 0.13/0.42 fof(f2105,plain,(
% 0.13/0.42 $false|sQ6_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2104,f195])).
% 0.13/0.42 fof(f2106,plain,(
% 0.13/0.42 sQ6_spl|~sQ11_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2105])).
% 0.13/0.42 fof(f2107,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(sat_refutation,[status(thm)],[f317,f354,f446,f737,f783,f1006,f1180,f1392,f1529,f1535,f1610,f1642,f1647,f1674,f1698,f1766,f1768,f1842,f1875,f1915,f1920,f1991,f2047,f2064,f2106])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.45 % Elapsed time: 0.075623 seconds
% 0.13/0.45 % CPU time: 0.283255 seconds
% 0.13/0.45 % Total memory used: 111.952 MB
% 0.13/0.45 % Net memory used: 111.821 MB
%------------------------------------------------------------------------------