%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG088+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 : n007.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 0.14s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG088+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
% 0.12/0.36 % Computer : n007.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 12:53:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f1,axiom,(
% 0.14/0.43 ( e10 != e11& e10 != e12& e10 != e13& e10 != e14& e11 != e12& e11 != e13& e11 != e14& e12 != e13& e12 != e14& e13 != e14 ) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f2,axiom,(
% 0.14/0.43 ( e20 != e21& e20 != e22& e20 != e23& e20 != e24& e21 != e22& e21 != e23& e21 != e24& e22 != e23& e22 != e24& e23 != e24 ) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f4,axiom,(
% 0.14/0.43 ( 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) = e10& op1(e11,e12) = e13& op1(e11,e13) = e14& op1(e11,e14) = e12& op1(e12,e10) = e12& op1(e12,e11) = e14& op1(e12,e12) = e10& op1(e12,e13) = e11& op1(e12,e14) = e13& op1(e13,e10) = e13& op1(e13,e11) = e12& op1(e13,e12) = e14& op1(e13,e13) = e10& op1(e13,e14) = e11& op1(e14,e10) = e14& op1(e14,e11) = e13& op1(e14,e12) = e11& op1(e14,e13) = e12& op1(e14,e14) = e10 ) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f5,axiom,(
% 0.14/0.43 ( 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 ) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f6,conjecture,(
% 0.14/0.43 ( ( ( 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 ) ) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f7,negated_conjecture,(
% 0.14/0.43 ~(( ( ( 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 ) ) )),
% 0.14/0.43 inference(negated_conjecture,[status(cth)],[f6])).
% 0.14/0.43 fof(f8,plain,(
% 0.14/0.43 ~e10=e11),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.43 fof(f22,plain,(
% 0.14/0.43 ~e21=e22),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.43 fof(f26,plain,(
% 0.14/0.43 ~e22=e24),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.43 fof(f53,plain,(
% 0.14/0.43 op1(e10,e10)=e10),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f59,plain,(
% 0.14/0.43 op1(e11,e11)=e10),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f65,plain,(
% 0.14/0.43 op1(e12,e12)=e10),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f68,plain,(
% 0.14/0.43 op1(e13,e10)=e13),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f71,plain,(
% 0.14/0.43 op1(e13,e13)=e10),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f77,plain,(
% 0.14/0.43 op1(e14,e14)=e10),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f84,plain,(
% 0.14/0.43 op2(e21,e21)=e22),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.43 fof(f89,plain,(
% 0.14/0.43 op2(e22,e21)=e24),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.43 fof(f90,plain,(
% 0.14/0.43 op2(e22,e22)=e21),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.43 fof(f103,plain,(
% 0.14/0.43 ((((((((((((((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))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.43 fof(f111,plain,(
% 0.14/0.43 j(e22)=e10|j(e22)=e11|j(e22)=e12|j(e22)=e13|j(e22)=e14),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f114,plain,(
% 0.14/0.43 h(op1(e10,e10))=op2(h(e10),h(e10))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f129,plain,(
% 0.14/0.43 h(op1(e13,e10))=op2(h(e13),h(e10))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f132,plain,(
% 0.14/0.43 h(op1(e13,e13))=op2(h(e13),h(e13))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f138,plain,(
% 0.14/0.43 h(op1(e14,e14))=op2(h(e14),h(e14))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f145,plain,(
% 0.14/0.43 j(op2(e21,e21))=op1(j(e21),j(e21))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f151,plain,(
% 0.14/0.43 j(op2(e22,e22))=op1(j(e22),j(e22))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f165,plain,(
% 0.14/0.43 h(j(e21))=e21),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f166,plain,(
% 0.14/0.43 h(j(e22))=e22),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f171,plain,(
% 0.14/0.43 j(h(e12))=e12),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.43 fof(f177,definition,(
% 0.14/0.43 sQ1_spl <=> (h(e10)=e21)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f178,plain,(
% 0.14/0.43 h(e10)=e21|~sQ1_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f177])).
% 0.14/0.43 fof(f179,plain,(
% 0.14/0.43 ~h(e10)=e21|sQ1_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f177])).
% 0.14/0.43 fof(f180,definition,(
% 0.14/0.43 sQ2_spl <=> (h(e10)=e22)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f181,plain,(
% 0.14/0.43 h(e10)=e22|~sQ2_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f180])).
% 0.14/0.43 fof(f212,definition,(
% 0.14/0.43 sQ12_spl <=> (h(e12)=e22)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f213,plain,(
% 0.14/0.43 h(e12)=e22|~sQ12_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.43 fof(f228,definition,(
% 0.14/0.43 sQ17_spl <=> (h(e13)=e22)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f229,plain,(
% 0.14/0.43 h(e13)=e22|~sQ17_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f228])).
% 0.14/0.43 fof(f244,definition,(
% 0.14/0.43 sQ22_spl <=> (h(e14)=e22)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f245,plain,(
% 0.14/0.43 h(e14)=e22|~sQ22_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f244])).
% 0.14/0.43 fof(f246,plain,(
% 0.14/0.43 ~h(e14)=e22|sQ22_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f244])).
% 0.14/0.43 fof(f270,definition,(
% 0.14/0.43 sQ30_spl <=> (j(e21)=e10)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f271,plain,(
% 0.14/0.43 j(e21)=e10|~sQ30_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f270])).
% 0.14/0.43 fof(f286,definition,(
% 0.14/0.43 sQ35_spl <=> (j(e22)=e10)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f287,plain,(
% 0.14/0.43 j(e22)=e10|~sQ35_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f286])).
% 0.14/0.43 fof(f289,definition,(
% 0.14/0.43 sQ36_spl <=> (j(e22)=e11)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f290,plain,(
% 0.14/0.44 j(e22)=e11|~sQ36_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f289])).
% 0.14/0.44 fof(f292,definition,(
% 0.14/0.44 sQ37_spl <=> (j(e22)=e12)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f293,plain,(
% 0.14/0.44 j(e22)=e12|~sQ37_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f292])).
% 0.14/0.44 fof(f295,definition,(
% 0.14/0.44 sQ38_spl <=> (j(e22)=e13)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f296,plain,(
% 0.14/0.44 j(e22)=e13|~sQ38_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f295])).
% 0.14/0.44 fof(f298,definition,(
% 0.14/0.44 sQ39_spl <=> (j(e22)=e14)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f299,plain,(
% 0.14/0.44 j(e22)=e14|~sQ39_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f298])).
% 0.14/0.44 fof(f301,plain,(
% 0.14/0.44 sQ35_spl|sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f111,f286,f289,f292,f295,f298])).
% 0.14/0.44 fof(f343,plain,(
% 0.14/0.44 h(e10)=op2(h(e10),h(e10))),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f53,f114])).
% 0.14/0.44 fof(f445,plain,(
% 0.14/0.44 h(e13)=op2(h(e13),h(e10))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f68,f129])).
% 0.14/0.44 fof(f463,plain,(
% 0.14/0.44 h(e10)=op2(h(e13),h(e13))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f71,f132])).
% 0.14/0.44 fof(f489,plain,(
% 0.14/0.44 h(e10)=op2(h(e14),h(e14))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f77,f138])).
% 0.14/0.44 fof(f527,plain,(
% 0.14/0.44 j(e22)=op1(j(e21),j(e21))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f84,f145])).
% 0.14/0.44 fof(f564,plain,(
% 0.14/0.44 j(e21)=op1(j(e22),j(e22))),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f90,f151])).
% 0.14/0.44 fof(f618,plain,(
% 0.14/0.44 h(e10)=e21|~sQ30_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f271,f165])).
% 0.14/0.44 fof(f622,plain,(
% 0.14/0.44 sQ1_spl|~sQ30_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f618,f177,f270])).
% 0.14/0.44 fof(f626,plain,(
% 0.14/0.44 h(e10)=op2(e22,h(e14))|~sQ22_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f245,f489])).
% 0.14/0.44 fof(f627,plain,(
% 0.14/0.44 h(e10)=op2(e22,e22)|~sQ22_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f245,f626])).
% 0.14/0.44 fof(f628,plain,(
% 0.14/0.44 h(e10)=e21|~sQ22_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f90,f627])).
% 0.14/0.44 fof(f669,plain,(
% 0.14/0.44 $false|sQ1_spl|~sQ22_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f628,f179])).
% 0.14/0.44 fof(f670,plain,(
% 0.14/0.44 sQ1_spl|~sQ22_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f669])).
% 0.14/0.44 fof(f688,plain,(
% 0.14/0.44 h(e10)=e22|~sQ35_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f287,f166])).
% 0.14/0.44 fof(f722,plain,(
% 0.14/0.44 j(e22)=e12|~sQ12_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f213,f171])).
% 0.14/0.44 fof(f730,plain,(
% 0.14/0.44 j(e21)=op1(e12,j(e22))|~sQ12_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f722,f564])).
% 0.14/0.44 fof(f731,plain,(
% 0.14/0.44 j(e21)=op1(e12,e12)|~sQ12_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f722,f730])).
% 0.14/0.44 fof(f732,plain,(
% 0.14/0.44 j(e21)=e10|~sQ12_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f65,f731])).
% 0.14/0.44 fof(f750,plain,(
% 0.14/0.44 sQ2_spl|~sQ35_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f688,f180,f286])).
% 0.14/0.44 fof(f838,plain,(
% 0.14/0.44 h(e10)=op2(h(e10),e22)|~sQ2_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f181,f343])).
% 0.14/0.44 fof(f840,plain,(
% 0.14/0.44 e22=op2(h(e10),e22)|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f181,f838])).
% 0.14/0.44 fof(f841,plain,(
% 0.14/0.44 e22=op2(e22,e22)|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f181,f840])).
% 0.14/0.44 fof(f842,plain,(
% 0.14/0.44 e22=e21|~sQ2_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f90,f841])).
% 0.14/0.44 fof(f843,plain,(
% 0.14/0.44 $false|~sQ2_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f842,f22])).
% 0.14/0.44 fof(f844,plain,(
% 0.14/0.44 ~sQ2_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f843])).
% 0.14/0.44 fof(f849,plain,(
% 0.14/0.44 h(e12)=e22|~sQ37_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f293,f166])).
% 0.14/0.44 fof(f853,plain,(
% 0.14/0.44 sQ12_spl|~sQ37_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f849,f212,f292])).
% 0.14/0.44 fof(f891,plain,(
% 0.14/0.44 j(e21)=op1(e11,j(e22))|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f290,f564])).
% 0.14/0.44 fof(f892,plain,(
% 0.14/0.44 j(e21)=op1(e11,e11)|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f290,f891])).
% 0.14/0.44 fof(f901,plain,(
% 0.14/0.44 j(e21)=e10|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f59,f892])).
% 0.14/0.44 fof(f903,plain,(
% 0.14/0.44 e11=op1(j(e21),j(e21))|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f290,f527])).
% 0.14/0.44 fof(f904,plain,(
% 0.14/0.44 e11=op1(e10,j(e21))|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f901,f903])).
% 0.14/0.44 fof(f905,plain,(
% 0.14/0.44 e11=op1(e10,e10)|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f901,f904])).
% 0.14/0.44 fof(f906,plain,(
% 0.14/0.44 e11=e10|~sQ36_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f53,f905])).
% 0.14/0.44 fof(f907,plain,(
% 0.14/0.44 $false|~sQ36_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f906,f8])).
% 0.14/0.44 fof(f908,plain,(
% 0.14/0.44 ~sQ36_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f907])).
% 0.14/0.44 fof(f988,plain,(
% 0.14/0.44 e21=op2(h(e10),h(e10))|~sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f178,f343])).
% 0.14/0.44 fof(f989,plain,(
% 0.14/0.44 e21=op2(e21,h(e10))|~sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f178,f988])).
% 0.14/0.44 fof(f990,plain,(
% 0.14/0.44 e21=e22|~sQ1_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f991,f84])).
% 0.14/0.44 fof(f991,plain,(
% 0.14/0.44 e21=op2(e21,e21)|~sQ1_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f178,f989])).
% 0.14/0.44 fof(f992,plain,(
% 0.14/0.44 $false|~sQ1_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f990,f22])).
% 0.14/0.44 fof(f993,plain,(
% 0.14/0.44 ~sQ1_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f992])).
% 0.14/0.44 fof(f1011,plain,(
% 0.14/0.44 h(e13)=e22|~sQ38_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f296,f166])).
% 0.14/0.44 fof(f1023,plain,(
% 0.14/0.44 h(e10)=op2(e22,h(e13))|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f229,f463])).
% 0.14/0.44 fof(f1024,plain,(
% 0.14/0.44 h(e10)=op2(e22,e22)|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f229,f1023])).
% 0.14/0.44 fof(f1025,plain,(
% 0.14/0.44 h(e10)=e21|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f90,f1024])).
% 0.14/0.44 fof(f1026,plain,(
% 0.14/0.44 e22=op2(h(e13),h(e10))|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f229,f445])).
% 0.14/0.44 fof(f1027,plain,(
% 0.14/0.44 e22=op2(e22,h(e10))|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f229,f1026])).
% 0.14/0.44 fof(f1028,plain,(
% 0.14/0.44 e22=e24|~sQ17_spl),
% 0.14/0.44 inference(backward_demodulation,[status(thm)],[f1029,f89])).
% 0.14/0.44 fof(f1029,plain,(
% 0.14/0.44 e22=op2(e22,e21)|~sQ17_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f1025,f1027])).
% 0.14/0.44 fof(f1030,plain,(
% 0.14/0.44 $false|~sQ17_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1028,f26])).
% 0.14/0.44 fof(f1031,plain,(
% 0.14/0.44 ~sQ17_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.14/0.44 fof(f1034,plain,(
% 0.14/0.44 sQ17_spl|~sQ38_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f1011,f228,f295])).
% 0.14/0.44 fof(f1050,plain,(
% 0.14/0.44 sQ30_spl|~sQ12_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f732,f270,f212])).
% 0.14/0.44 fof(f1240,plain,(
% 0.14/0.44 h(e14)=e22|~sQ39_spl),
% 0.14/0.44 inference(forward_demodulation,[status(thm)],[f299,f166])).
% 0.14/0.44 fof(f1241,plain,(
% 0.14/0.44 $false|sQ22_spl|~sQ39_spl),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1240,f246])).
% 0.14/0.44 fof(f1242,plain,(
% 0.14/0.44 sQ22_spl|~sQ39_spl),
% 0.14/0.44 inference(contradiction_clause,[status(thm)],[f1241])).
% 0.14/0.44 fof(f1243,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(sat_refutation,[status(thm)],[f301,f622,f670,f750,f844,f853,f908,f993,f1031,f1034,f1050,f1242])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.086862 seconds
% 0.14/0.47 % CPU time: 0.408016 seconds
% 0.14/0.47 % Total memory used: 116.020 MB
% 0.14/0.47 % Net memory used: 115.615 MB
%------------------------------------------------------------------------------