TSTP Solution File: SET765+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:13:57 EDT 2022
% Result : Theorem 41.55s 6.68s
% Output : CNFRefutation 41.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 71
% Syntax : Number of clauses : 308 ( 24 unt; 236 nHn; 259 RR)
% Number of literals : 1222 ( 0 equ; 489 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 486 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_12) ).
cnf(i_0_72,negated_conjecture,
equivalence(esk16_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_72) ).
cnf(i_0_129,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ epred1_2(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_129) ).
cnf(i_0_66,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_66) ).
cnf(i_0_71,negated_conjecture,
subset(esk17_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_71) ).
cnf(i_0_127,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_127) ).
cnf(i_0_46,plain,
( pre_order(X1,X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_46) ).
cnf(i_0_48,plain,
( pre_order(X1,X2)
| member(esk11_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_48) ).
cnf(i_0_49,plain,
( pre_order(X1,X2)
| member(esk10_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_49) ).
cnf(i_0_52,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_52) ).
cnf(i_0_54,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk11_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_54) ).
cnf(i_0_55,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk10_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_55) ).
cnf(i_0_50,plain,
( pre_order(X1,X2)
| member(esk9_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_50) ).
cnf(i_0_56,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk9_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_56) ).
cnf(i_0_51,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_51) ).
cnf(i_0_53,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_53) ).
cnf(i_0_57,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_57) ).
cnf(i_0_116,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_116) ).
cnf(i_0_45,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_45) ).
cnf(i_0_47,plain,
( pre_order(X1,X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_47) ).
cnf(i_0_122,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_122) ).
cnf(i_0_118,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_118) ).
cnf(i_0_119,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_119) ).
cnf(i_0_124,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_124) ).
cnf(i_0_125,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_125) ).
cnf(i_0_95,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_95) ).
cnf(i_0_70,negated_conjecture,
~ equivalence(esk16_0,esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_70) ).
cnf(i_0_11,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_11) ).
cnf(i_0_96,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_96) ).
cnf(i_0_120,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_120) ).
cnf(i_0_126,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_126) ).
cnf(i_0_128,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_128) ).
cnf(i_0_93,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_93) ).
cnf(i_0_58,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ pre_order(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_58) ).
cnf(i_0_115,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_115) ).
cnf(i_0_117,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_117) ).
cnf(i_0_121,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_121) ).
cnf(i_0_123,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_123) ).
cnf(i_0_92,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_92) ).
cnf(i_0_94,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_94) ).
cnf(i_0_98,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_98) ).
cnf(i_0_100,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_100) ).
cnf(i_0_101,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_101) ).
cnf(i_0_112,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_112) ).
cnf(i_0_106,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_106) ).
cnf(i_0_113,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_113) ).
cnf(i_0_107,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_107) ).
cnf(i_0_102,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_102) ).
cnf(i_0_114,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_114) ).
cnf(i_0_108,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_108) ).
cnf(i_0_110,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_110) ).
cnf(i_0_89,plain,
( epred1_2(X1,X2)
| member(esk22_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_89) ).
cnf(i_0_83,plain,
( epred1_2(X1,X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_83) ).
cnf(i_0_91,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_91) ).
cnf(i_0_97,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_97) ).
cnf(i_0_90,plain,
( epred1_2(X1,X2)
| member(esk21_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_90) ).
cnf(i_0_84,plain,
( epred1_2(X1,X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_84) ).
cnf(i_0_99,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_99) ).
cnf(i_0_111,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_111) ).
cnf(i_0_109,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_109) ).
cnf(i_0_88,plain,
( epred1_2(X1,X2)
| member(esk23_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_88) ).
cnf(i_0_82,plain,
( epred1_2(X1,X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_82) ).
cnf(i_0_105,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_105) ).
cnf(i_0_104,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_104) ).
cnf(i_0_87,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_87) ).
cnf(i_0_86,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_86) ).
cnf(i_0_85,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_85) ).
cnf(i_0_80,plain,
( epred1_2(X1,X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_80) ).
cnf(i_0_103,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_103) ).
cnf(i_0_79,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_79) ).
cnf(i_0_81,plain,
( epred1_2(X1,X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59fm3wsf/input.p',i_0_81) ).
cnf(c_0_201,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
i_0_12 ).
cnf(c_0_202,negated_conjecture,
equivalence(esk16_0,esk15_0),
i_0_72 ).
cnf(c_0_203,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ epred1_2(X1,X3) ),
i_0_129 ).
cnf(c_0_204,negated_conjecture,
epred1_2(esk16_0,esk15_0),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_205,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_66 ).
cnf(c_0_206,negated_conjecture,
subset(esk17_0,esk15_0),
i_0_71 ).
cnf(c_0_207,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
i_0_127 ).
cnf(c_0_208,plain,
( pre_order(X1,X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_46 ).
cnf(c_0_209,plain,
( pre_order(X1,X2)
| member(esk11_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_48 ).
cnf(c_0_210,negated_conjecture,
( apply(esk16_0,X1,X1)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_211,plain,
( pre_order(X1,X2)
| member(esk10_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_49 ).
cnf(c_0_212,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| apply(X1,esk10_2(X1,X2),esk11_2(X1,X2)) ),
i_0_52 ).
cnf(c_0_213,negated_conjecture,
( member(X1,esk15_0)
| ~ member(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_214,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk11_2(X1,X2),X2) ),
i_0_54 ).
cnf(c_0_215,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk10_2(X1,X2),X2) ),
i_0_55 ).
cnf(c_0_216,plain,
( apply(X1,X2,esk11_2(X1,X3))
| pre_order(X1,X3)
| ~ apply(X1,esk8_2(X1,X3),esk8_2(X1,X3))
| ~ apply(X1,X2,esk10_2(X1,X3))
| ~ epred1_2(X1,X4)
| ~ member(esk10_2(X1,X3),X4)
| ~ member(esk11_2(X1,X3),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_217,negated_conjecture,
( pre_order(esk16_0,X1)
| member(esk11_2(esk16_0,X1),X1)
| ~ member(esk8_2(esk16_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_218,negated_conjecture,
( pre_order(esk16_0,X1)
| member(esk10_2(esk16_0,X1),X1)
| ~ member(esk8_2(esk16_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_211,c_0_210]) ).
cnf(c_0_219,plain,
( pre_order(X1,X2)
| member(esk9_2(X1,X2),X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_50 ).
cnf(c_0_220,plain,
( apply(X1,X2,esk11_2(X1,X3))
| pre_order(X1,X3)
| member(esk8_2(X1,X3),X3)
| ~ apply(X1,X2,esk10_2(X1,X3))
| ~ epred1_2(X1,X4)
| ~ member(esk10_2(X1,X3),X4)
| ~ member(esk11_2(X1,X3),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_212]) ).
cnf(c_0_221,negated_conjecture,
( pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk17_0)
| member(esk11_2(X1,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_222,plain,
( pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk17_0)
| member(esk10_2(X1,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_215]) ).
cnf(c_0_223,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| member(esk9_2(X1,X2),X2) ),
i_0_56 ).
cnf(c_0_224,negated_conjecture,
( apply(esk16_0,X1,esk11_2(esk16_0,X2))
| pre_order(esk16_0,X2)
| ~ apply(esk16_0,X1,esk10_2(esk16_0,X2))
| ~ epred1_2(esk16_0,X3)
| ~ member(esk8_2(esk16_0,X2),esk15_0)
| ~ member(esk10_2(esk16_0,X2),X3)
| ~ member(esk11_2(esk16_0,X2),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_216,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
( pre_order(esk16_0,esk17_0)
| member(esk11_2(esk16_0,esk17_0),esk15_0)
| ~ member(esk8_2(esk16_0,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_217]) ).
cnf(c_0_226,negated_conjecture,
( pre_order(esk16_0,esk17_0)
| member(esk10_2(esk16_0,esk17_0),esk15_0)
| ~ member(esk8_2(esk16_0,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_218]) ).
cnf(c_0_227,negated_conjecture,
( pre_order(esk16_0,X1)
| member(esk9_2(esk16_0,X1),X1)
| ~ member(esk8_2(esk16_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_219,c_0_210]) ).
cnf(c_0_228,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
i_0_51 ).
cnf(c_0_229,negated_conjecture,
( apply(X1,X2,esk11_2(X1,esk17_0))
| pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk17_0)
| ~ apply(X1,X2,esk10_2(X1,esk17_0))
| ~ epred1_2(X1,esk15_0)
| ~ member(X2,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).
cnf(c_0_230,plain,
( pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk17_0)
| member(esk9_2(X1,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_223]) ).
cnf(c_0_231,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2)) ),
i_0_53 ).
cnf(c_0_232,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ pre_order(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
i_0_57 ).
cnf(c_0_233,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
i_0_116 ).
cnf(c_0_234,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2))
| ~ apply(X1,esk9_2(X1,X2),esk11_2(X1,X2)) ),
i_0_45 ).
cnf(c_0_235,negated_conjecture,
( apply(esk16_0,X1,esk11_2(esk16_0,esk17_0))
| pre_order(esk16_0,esk17_0)
| ~ apply(esk16_0,X1,esk10_2(esk16_0,esk17_0))
| ~ member(esk8_2(esk16_0,esk17_0),esk15_0)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_204])]),c_0_226]) ).
cnf(c_0_236,negated_conjecture,
( pre_order(esk16_0,esk17_0)
| member(esk9_2(esk16_0,esk17_0),esk15_0)
| ~ member(esk8_2(esk16_0,esk17_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_227]) ).
cnf(c_0_237,plain,
( pre_order(X1,X2)
| apply(X1,esk9_2(X1,X2),esk10_2(X1,X2))
| ~ apply(X1,esk8_2(X1,X2),esk8_2(X1,X2)) ),
i_0_47 ).
cnf(c_0_238,plain,
( pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]),c_0_231]) ).
cnf(c_0_239,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
i_0_122 ).
cnf(c_0_240,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2) ),
i_0_118 ).
cnf(c_0_241,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2) ),
i_0_119 ).
cnf(c_0_242,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2) ),
i_0_124 ).
cnf(c_0_243,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2) ),
i_0_125 ).
cnf(c_0_244,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_95 ).
cnf(c_0_245,negated_conjecture,
~ equivalence(esk16_0,esk17_0),
i_0_70 ).
cnf(c_0_246,plain,
( equivalence(X1,X2)
| ~ epred1_2(X1,X2) ),
i_0_11 ).
cnf(c_0_247,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_96 ).
cnf(c_0_248,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| member(esk20_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ pre_order(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_249,plain,
( pre_order(esk16_0,esk17_0)
| ~ member(esk8_2(esk16_0,esk17_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]),c_0_237]),c_0_210]) ).
cnf(c_0_250,negated_conjecture,
( pre_order(X1,esk17_0)
| member(esk8_2(X1,esk17_0),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_238]) ).
cnf(c_0_251,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| member(esk19_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ pre_order(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_232,c_0_239]) ).
cnf(c_0_252,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| member(esk20_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_233]) ).
cnf(c_0_253,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk20_2(esk17_0,X1),esk17_0)
| member(esk23_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_240]) ).
cnf(c_0_254,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk20_2(esk17_0,X1),esk17_0)
| member(esk22_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_241]) ).
cnf(c_0_255,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2) ),
i_0_120 ).
cnf(c_0_256,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| member(esk19_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_239]) ).
cnf(c_0_257,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk19_2(esk17_0,X1),esk17_0)
| member(esk23_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_242]) ).
cnf(c_0_258,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk19_2(esk17_0,X1),esk17_0)
| member(esk22_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_243]) ).
cnf(c_0_259,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2) ),
i_0_126 ).
cnf(c_0_260,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,X2) ),
i_0_128 ).
cnf(c_0_261,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_93 ).
cnf(c_0_262,negated_conjecture,
( epred1_2(esk16_0,X1)
| member(esk22_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_244,c_0_210]) ).
cnf(c_0_263,negated_conjecture,
~ epred1_2(esk16_0,esk17_0),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_264,negated_conjecture,
( epred1_2(esk16_0,X1)
| member(esk21_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_210]) ).
cnf(c_0_265,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk20_2(X3,X1),X3)
| member(esk18_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ pre_order(X1,X3)
| ~ member(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_240]),c_0_241]) ).
cnf(c_0_266,negated_conjecture,
pre_order(esk16_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_204])]) ).
cnf(c_0_267,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ pre_order(X1,X3) ),
i_0_58 ).
cnf(c_0_268,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk19_2(X3,X1),X3)
| member(esk18_2(X3,X1),X3)
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ pre_order(X1,X3)
| ~ member(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_242]),c_0_243]) ).
cnf(c_0_269,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_115 ).
cnf(c_0_270,negated_conjecture,
( apply(X1,X2,esk23_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk20_2(esk17_0,X1),esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ apply(X1,X2,esk22_2(esk17_0,X1))
| ~ epred1_2(X1,esk15_0)
| ~ member(X2,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]) ).
cnf(c_0_271,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk20_2(esk17_0,X1),esk17_0)
| member(esk21_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_255]) ).
cnf(c_0_272,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
i_0_117 ).
cnf(c_0_273,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_121 ).
cnf(c_0_274,negated_conjecture,
( apply(X1,X2,esk23_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk19_2(esk17_0,X1),esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ apply(X1,X2,esk22_2(esk17_0,X1))
| ~ epred1_2(X1,esk15_0)
| ~ member(X2,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_275,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk19_2(esk17_0,X1),esk17_0)
| member(esk21_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_259]) ).
cnf(c_0_276,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
i_0_123 ).
cnf(c_0_277,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_92 ).
cnf(c_0_278,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_94 ).
cnf(c_0_279,plain,
( apply(X1,esk22_2(X2,X1),esk21_2(X2,X1))
| epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk21_2(X2,X1),X3)
| ~ member(esk22_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_280,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk22_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_262]),c_0_263]) ).
cnf(c_0_281,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk21_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_264]),c_0_263]) ).
cnf(c_0_282,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_263]) ).
cnf(c_0_283,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_98 ).
cnf(c_0_284,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_100 ).
cnf(c_0_285,plain,
( apply(esk16_0,X1,X1)
| ~ member(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_267,c_0_266]) ).
cnf(c_0_286,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_101 ).
cnf(c_0_287,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk19_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_266]),c_0_263]) ).
cnf(c_0_288,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
i_0_112 ).
cnf(c_0_289,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_106 ).
cnf(c_0_290,plain,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk20_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]),c_0_272]) ).
cnf(c_0_291,plain,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk19_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275]),c_0_276]) ).
cnf(c_0_292,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
i_0_113 ).
cnf(c_0_293,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_107 ).
cnf(c_0_294,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk20_2(X3,X1),X3)
| ~ apply(X1,esk18_2(X3,X1),esk18_2(X3,X1))
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_277]) ).
cnf(c_0_295,negated_conjecture,
( epred1_2(esk16_0,X1)
| member(esk23_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_278,c_0_210]) ).
cnf(c_0_296,negated_conjecture,
( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0))
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_204])]),c_0_263]),c_0_281]),c_0_210]) ).
cnf(c_0_297,plain,
( member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| ~ member(esk21_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_282]),c_0_263]) ).
cnf(c_0_298,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk19_2(X3,X1),X3)
| ~ apply(X1,esk18_2(X3,X1),esk18_2(X3,X1))
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_283]) ).
cnf(c_0_299,plain,
( epred1_2(esk16_0,X1)
| member(esk19_2(X1,esk16_0),X1)
| member(esk23_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_300,plain,
( epred1_2(esk16_0,X1)
| member(esk19_2(X1,esk16_0),X1)
| member(esk22_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_286,c_0_285]) ).
cnf(c_0_301,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_102 ).
cnf(c_0_302,plain,
( member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk19_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| ~ member(esk21_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_287]),c_0_263]) ).
cnf(c_0_303,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk23_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_288]),c_0_289]) ).
cnf(c_0_304,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk20_2(esk17_0,X1),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_290]) ).
cnf(c_0_305,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk19_2(esk17_0,X1),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_291]) ).
cnf(c_0_306,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk22_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_292]),c_0_293]) ).
cnf(c_0_307,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
i_0_114 ).
cnf(c_0_308,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_108 ).
cnf(c_0_309,negated_conjecture,
( apply(esk16_0,X1,esk23_2(X2,esk16_0))
| epred1_2(esk16_0,X2)
| member(esk20_2(X2,esk16_0),X2)
| ~ apply(esk16_0,X1,esk22_2(X2,esk16_0))
| ~ epred1_2(esk16_0,X3)
| ~ member(esk18_2(X2,esk16_0),esk15_0)
| ~ member(esk22_2(X2,esk16_0),X3)
| ~ member(esk23_2(X2,esk16_0),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_294,c_0_210]) ).
cnf(c_0_310,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk23_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_295]),c_0_263]) ).
cnf(c_0_311,plain,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ epred1_2(esk16_0,X1)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk22_2(esk17_0,esk16_0),X1)
| ~ member(esk21_2(esk17_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_296]) ).
cnf(c_0_312,plain,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk21_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_272]),c_0_263]) ).
cnf(c_0_313,plain,
( apply(esk16_0,X1,esk23_2(X2,esk16_0))
| epred1_2(esk16_0,X2)
| member(esk19_2(X2,esk16_0),X2)
| ~ apply(esk16_0,X1,esk22_2(X2,esk16_0))
| ~ epred1_2(esk16_0,X3)
| ~ member(esk18_2(X2,esk16_0),esk17_0)
| ~ member(esk22_2(X2,esk16_0),X3)
| ~ member(esk23_2(X2,esk16_0),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_298,c_0_285]) ).
cnf(c_0_314,negated_conjecture,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| member(esk23_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_299]),c_0_263]) ).
cnf(c_0_315,negated_conjecture,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| member(esk22_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_300]),c_0_263]) ).
cnf(c_0_316,plain,
( epred1_2(esk16_0,X1)
| member(esk19_2(X1,esk16_0),X1)
| member(esk21_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_301,c_0_285]) ).
cnf(c_0_317,plain,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk21_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_276]),c_0_263]) ).
cnf(c_0_318,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
i_0_110 ).
cnf(c_0_319,plain,
( epred1_2(X1,esk17_0)
| member(esk23_2(esk17_0,X1),esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]) ).
cnf(c_0_320,plain,
( epred1_2(X1,esk17_0)
| member(esk22_2(esk17_0,X1),esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0)
| ~ member(esk19_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_306,c_0_304]) ).
cnf(c_0_321,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| member(esk21_2(X2,X1),X2)
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_307]),c_0_308]) ).
cnf(c_0_322,plain,
( epred1_2(X1,X2)
| member(esk22_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_89 ).
cnf(c_0_323,plain,
( epred1_2(X1,X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_83 ).
cnf(c_0_324,plain,
( epred1_2(X1,X2)
| member(esk20_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_91 ).
cnf(c_0_325,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_204])]),c_0_263]),c_0_280]) ).
cnf(c_0_326,negated_conjecture,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_280]),c_0_204])]),c_0_281]) ).
cnf(c_0_327,plain,
( member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk20_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_255]),c_0_263]) ).
cnf(c_0_328,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_97 ).
cnf(c_0_329,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk19_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_204])]),c_0_263]),c_0_315]) ).
cnf(c_0_330,negated_conjecture,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| member(esk21_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_316]),c_0_263]) ).
cnf(c_0_331,plain,
( member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk19_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_259]),c_0_263]) ).
cnf(c_0_332,plain,
( epred1_2(X1,X2)
| member(esk21_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_90 ).
cnf(c_0_333,plain,
( epred1_2(X1,X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_84 ).
cnf(c_0_334,plain,
( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,X3,esk23_2(X2,X1))
| epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| ~ apply(X1,X3,esk22_2(X2,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X2,X1),X4)
| ~ member(esk23_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_318]) ).
cnf(c_0_335,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk23_2(esk17_0,X1),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_319]) ).
cnf(c_0_336,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk22_2(esk17_0,X1),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_320]),c_0_305]) ).
cnf(c_0_337,plain,
( epred1_2(X1,esk17_0)
| member(esk21_2(esk17_0,X1),esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0)
| ~ member(esk19_2(esk17_0,X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_321,c_0_304]) ).
cnf(c_0_338,plain,
( epred1_2(X1,X2)
| member(esk22_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_322]),c_0_323]) ).
cnf(c_0_339,plain,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_263]),c_0_281]),c_0_326]),c_0_210]) ).
cnf(c_0_340,negated_conjecture,
( member(esk18_2(esk17_0,esk16_0),esk17_0)
| member(esk20_2(esk17_0,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_327]) ).
cnf(c_0_341,plain,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_263]),c_0_330]),c_0_331]) ).
cnf(c_0_342,plain,
( epred1_2(X1,X2)
| member(esk19_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_99 ).
cnf(c_0_343,plain,
( epred1_2(X1,X2)
| member(esk21_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_332]),c_0_333]) ).
cnf(c_0_344,plain,
( apply(X1,esk19_2(esk17_0,X1),esk20_2(esk17_0,X1))
| apply(X1,X2,esk23_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ apply(X1,X2,esk22_2(esk17_0,X1))
| ~ epred1_2(X1,esk15_0)
| ~ member(X2,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]) ).
cnf(c_0_345,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
i_0_111 ).
cnf(c_0_346,negated_conjecture,
( epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| member(esk21_2(esk17_0,X1),esk15_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_337]),c_0_305]) ).
cnf(c_0_347,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_109 ).
cnf(c_0_348,plain,
( epred1_2(esk16_0,X1)
| member(esk23_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_278,c_0_285]) ).
cnf(c_0_349,plain,
( epred1_2(esk16_0,X1)
| member(esk22_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_244,c_0_285]) ).
cnf(c_0_350,plain,
( epred1_2(X1,X2)
| member(esk23_2(X2,X1),X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_88 ).
cnf(c_0_351,plain,
( epred1_2(X1,X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_82 ).
cnf(c_0_352,plain,
( epred1_2(esk16_0,X1)
| member(esk22_2(X1,esk16_0),X1)
| ~ epred1_2(esk16_0,X2)
| ~ member(esk18_2(X1,esk16_0),esk17_0)
| ~ member(esk19_2(X1,esk16_0),X2)
| ~ member(esk20_2(X1,esk16_0),X2) ),
inference(spm,[status(thm)],[c_0_338,c_0_285]) ).
cnf(c_0_353,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_339]) ).
cnf(c_0_354,plain,
( member(esk22_2(esk17_0,esk16_0),esk17_0)
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_340]),c_0_204])]),c_0_263]) ).
cnf(c_0_355,plain,
( member(esk19_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_263]) ).
cnf(c_0_356,plain,
( epred1_2(esk16_0,X1)
| member(esk21_2(X1,esk16_0),X1)
| ~ epred1_2(esk16_0,X2)
| ~ member(esk18_2(X1,esk16_0),esk17_0)
| ~ member(esk19_2(X1,esk16_0),X2)
| ~ member(esk20_2(X1,esk16_0),X2) ),
inference(spm,[status(thm)],[c_0_343,c_0_285]) ).
cnf(c_0_357,plain,
( member(esk21_2(esk17_0,esk16_0),esk17_0)
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_340]),c_0_204])]),c_0_263]) ).
cnf(c_0_358,plain,
( apply(X1,esk19_2(esk17_0,X1),esk20_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]),c_0_347]) ).
cnf(c_0_359,plain,
( apply(esk16_0,X1,esk23_2(X2,esk16_0))
| epred1_2(esk16_0,X2)
| member(esk20_2(X2,esk16_0),X2)
| ~ apply(esk16_0,X1,esk22_2(X2,esk16_0))
| ~ epred1_2(esk16_0,X3)
| ~ member(esk18_2(X2,esk16_0),esk17_0)
| ~ member(esk22_2(X2,esk16_0),X3)
| ~ member(esk23_2(X2,esk16_0),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_294,c_0_285]) ).
cnf(c_0_360,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk23_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_348]),c_0_263]) ).
cnf(c_0_361,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk22_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_349]),c_0_263]) ).
cnf(c_0_362,plain,
( epred1_2(X1,X2)
| member(esk23_2(X2,X1),X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk19_2(X2,X1),X3)
| ~ member(esk20_2(X2,X1),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_350]),c_0_351]) ).
cnf(c_0_363,plain,
( member(esk22_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_204])]),c_0_263]),c_0_213]),c_0_354]) ).
cnf(c_0_364,plain,
member(esk19_2(esk17_0,esk16_0),esk17_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_285]),c_0_331]) ).
cnf(c_0_365,plain,
( member(esk21_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_353]),c_0_204])]),c_0_263]),c_0_213]),c_0_357]) ).
cnf(c_0_366,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_105 ).
cnf(c_0_367,plain,
( apply(X1,esk20_2(esk17_0,X1),esk19_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0)
| ~ epred1_2(X1,X2)
| ~ member(esk19_2(esk17_0,X1),X2)
| ~ member(esk20_2(esk17_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_260,c_0_358]) ).
cnf(c_0_368,negated_conjecture,
( apply(esk16_0,X1,esk11_2(esk16_0,X2))
| pre_order(esk16_0,X2)
| ~ apply(esk16_0,X1,esk10_2(esk16_0,X2))
| ~ epred1_2(esk16_0,X2)
| ~ member(esk8_2(esk16_0,X2),esk15_0)
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_217]),c_0_218]) ).
cnf(c_0_369,plain,
( apply(X1,X2,esk11_2(X1,X3))
| pre_order(X1,X3)
| member(esk8_2(X1,X3),X3)
| ~ apply(X1,X2,esk10_2(X1,X3))
| ~ epred1_2(X1,X3)
| ~ member(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_214]),c_0_215]) ).
cnf(c_0_370,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_204])]),c_0_263]),c_0_361]),c_0_327]) ).
cnf(c_0_371,plain,
( epred1_2(esk16_0,X1)
| member(esk23_2(X1,esk16_0),X1)
| ~ epred1_2(esk16_0,X2)
| ~ member(esk18_2(X1,esk16_0),esk17_0)
| ~ member(esk19_2(X1,esk16_0),X2)
| ~ member(esk20_2(X1,esk16_0),X2) ),
inference(spm,[status(thm)],[c_0_362,c_0_285]) ).
cnf(c_0_372,plain,
( member(esk23_2(esk17_0,esk16_0),esk17_0)
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_340]),c_0_204])]),c_0_263]) ).
cnf(c_0_373,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_104 ).
cnf(c_0_374,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_87 ).
cnf(c_0_375,negated_conjecture,
( member(esk22_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_363]) ).
cnf(c_0_376,negated_conjecture,
member(esk19_2(esk17_0,esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_213,c_0_364]) ).
cnf(c_0_377,negated_conjecture,
( member(esk21_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_365]) ).
cnf(c_0_378,plain,
( apply(X1,X2,esk22_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| ~ apply(X1,esk20_2(X3,X1),esk19_2(X3,X1))
| ~ apply(X1,X2,esk21_2(X3,X1))
| ~ pre_order(X1,X4)
| ~ member(esk21_2(X3,X1),X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_232,c_0_366]) ).
cnf(c_0_379,negated_conjecture,
( apply(X1,esk20_2(esk17_0,X1),esk19_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ epred1_2(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_304]),c_0_305]) ).
cnf(c_0_380,plain,
( pre_order(esk16_0,X1)
| ~ epred1_2(esk16_0,X1)
| ~ member(esk8_2(esk16_0,X1),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_368]),c_0_227]),c_0_237]),c_0_210]) ).
cnf(c_0_381,plain,
( pre_order(X1,X2)
| member(esk8_2(X1,X2),X2)
| ~ epred1_2(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_231]),c_0_223]),c_0_228]) ).
cnf(c_0_382,plain,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_370]),c_0_263]) ).
cnf(c_0_383,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
i_0_86 ).
cnf(c_0_384,plain,
( member(esk23_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_353]),c_0_204])]),c_0_263]),c_0_213]),c_0_372]) ).
cnf(c_0_385,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| member(esk18_2(X3,X1),X3)
| ~ apply(X1,esk20_2(X3,X1),esk19_2(X3,X1))
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ pre_order(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_232,c_0_373]) ).
cnf(c_0_386,plain,
( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,X3,esk22_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,X3,esk21_2(X2,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk21_2(X2,X1),X4)
| ~ member(esk22_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_374]) ).
cnf(c_0_387,negated_conjecture,
member(esk22_2(esk17_0,esk16_0),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_376])]) ).
cnf(c_0_388,negated_conjecture,
member(esk21_2(esk17_0,esk16_0),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_376])]) ).
cnf(c_0_389,plain,
( apply(X1,X2,esk22_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ apply(X1,X2,esk21_2(esk17_0,X1))
| ~ pre_order(X1,X3)
| ~ epred1_2(X1,esk15_0)
| ~ member(esk21_2(esk17_0,X1),X3)
| ~ member(esk22_2(esk17_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_390,plain,
pre_order(esk16_0,esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_204])]) ).
cnf(c_0_391,plain,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_261]),c_0_263]) ).
cnf(c_0_392,plain,
( epred1_2(esk16_0,X1)
| member(esk21_2(X1,esk16_0),X1)
| member(esk20_2(X1,esk16_0),X1)
| ~ member(esk18_2(X1,esk16_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_285]) ).
cnf(c_0_393,plain,
( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| apply(X1,X3,esk23_2(X2,X1))
| epred1_2(X1,X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,X3,esk22_2(X2,X1))
| ~ pre_order(X1,X4)
| ~ member(esk22_2(X2,X1),X4)
| ~ member(esk23_2(X2,X1),X4)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_232,c_0_383]) ).
cnf(c_0_394,plain,
member(esk23_2(esk17_0,esk16_0),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_376])]) ).
cnf(c_0_395,plain,
member(esk22_2(esk17_0,esk16_0),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_376])]) ).
cnf(c_0_396,plain,
( apply(X1,X2,esk23_2(esk17_0,X1))
| epred1_2(X1,esk17_0)
| member(esk18_2(esk17_0,X1),esk17_0)
| ~ apply(X1,X2,esk22_2(esk17_0,X1))
| ~ pre_order(X1,X3)
| ~ epred1_2(X1,esk15_0)
| ~ member(esk22_2(esk17_0,X1),X3)
| ~ member(esk23_2(esk17_0,X1),X3)
| ~ member(X2,X3) ),
inference(spm,[status(thm)],[c_0_385,c_0_379]) ).
cnf(c_0_397,plain,
( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
| apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk21_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_204]),c_0_388])]),c_0_263]) ).
cnf(c_0_398,plain,
( apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk21_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_204]),c_0_388]),c_0_387])]),c_0_263]) ).
cnf(c_0_399,plain,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_285]),c_0_327]) ).
cnf(c_0_400,negated_conjecture,
( member(esk20_2(esk17_0,esk16_0),esk17_0)
| member(esk21_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_392]),c_0_263]) ).
cnf(c_0_401,plain,
( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
| apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_266])]),c_0_263]),c_0_395])]) ).
cnf(c_0_402,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk17_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_266]),c_0_204]),c_0_395]),c_0_394])]),c_0_263]) ).
cnf(c_0_403,plain,
( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
| apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk21_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_285]),c_0_398]) ).
cnf(c_0_404,plain,
member(esk21_2(esk17_0,esk16_0),esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_376])]) ).
cnf(c_0_405,negated_conjecture,
member(esk20_2(esk17_0,esk16_0),esk17_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_327]) ).
cnf(c_0_406,plain,
( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
| apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk17_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_285]),c_0_402]) ).
cnf(c_0_407,plain,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_285]),c_0_388]),c_0_404])]) ).
cnf(c_0_408,negated_conjecture,
member(esk20_2(esk17_0,esk16_0),esk15_0),
inference(spm,[status(thm)],[c_0_213,c_0_405]) ).
cnf(c_0_409,plain,
( epred1_2(X1,X2)
| apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_85 ).
cnf(c_0_410,plain,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
| apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_404])]) ).
cnf(c_0_411,plain,
( apply(X1,esk22_2(X2,X1),esk21_2(X2,X1))
| epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
| ~ epred1_2(X1,X3)
| ~ member(esk21_2(X2,X1),X3)
| ~ member(esk22_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_260,c_0_366]) ).
cnf(c_0_412,negated_conjecture,
( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_408]),c_0_204]),c_0_376])]),c_0_263]) ).
cnf(c_0_413,plain,
( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_263]) ).
cnf(c_0_414,negated_conjecture,
( member(esk23_2(esk17_0,esk16_0),esk15_0)
| ~ member(esk19_2(esk17_0,esk16_0),esk15_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_384]) ).
cnf(c_0_415,plain,
( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_387]),c_0_204]),c_0_388])]),c_0_263]),c_0_412]) ).
cnf(c_0_416,plain,
( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X1)
| ~ member(esk19_2(esk17_0,esk16_0),X1)
| ~ member(esk20_2(esk17_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_413]) ).
cnf(c_0_417,negated_conjecture,
member(esk23_2(esk17_0,esk16_0),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_376])]) ).
cnf(c_0_418,plain,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ epred1_2(esk16_0,X1)
| ~ member(esk22_2(esk17_0,esk16_0),X1)
| ~ member(esk21_2(esk17_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_415]) ).
cnf(c_0_419,plain,
( epred1_2(X1,X2)
| apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_80 ).
cnf(c_0_420,negated_conjecture,
( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_408]),c_0_204]),c_0_376])]) ).
cnf(c_0_421,plain,
( epred1_2(X1,X2)
| member(esk18_2(X2,X1),X2)
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_103 ).
cnf(c_0_422,plain,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0)
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_390]),c_0_204]),c_0_387]),c_0_417])]),c_0_263]) ).
cnf(c_0_423,negated_conjecture,
( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
| member(esk18_2(esk17_0,esk16_0),esk17_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_336]),c_0_204]),c_0_388])]),c_0_263]) ).
cnf(c_0_424,plain,
( apply(X1,X2,esk23_2(X3,X1))
| epred1_2(X1,X3)
| ~ apply(X1,esk18_2(X3,X1),esk18_2(X3,X1))
| ~ apply(X1,esk20_2(X3,X1),esk19_2(X3,X1))
| ~ apply(X1,X2,esk22_2(X3,X1))
| ~ epred1_2(X1,X4)
| ~ member(esk22_2(X3,X1),X4)
| ~ member(esk23_2(X3,X1),X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_207,c_0_419]) ).
cnf(c_0_425,plain,
( apply(esk16_0,X1,esk19_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk20_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X2)
| ~ member(esk20_2(esk17_0,esk16_0),X2)
| ~ member(esk19_2(esk17_0,esk16_0),X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_207,c_0_420]) ).
cnf(c_0_426,plain,
member(esk18_2(esk17_0,esk16_0),esk17_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_388])]),c_0_263]),c_0_423]),c_0_412]) ).
cnf(c_0_427,plain,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X2)
| ~ member(esk22_2(esk17_0,esk16_0),X2)
| ~ member(esk23_2(esk17_0,esk16_0),X2)
| ~ member(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_420]),c_0_263]) ).
cnf(c_0_428,plain,
( apply(esk16_0,X1,esk19_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk20_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X2)
| ~ member(esk20_2(esk17_0,esk16_0),X2)
| ~ member(esk19_2(esk17_0,esk16_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_285]),c_0_426])]) ).
cnf(c_0_429,plain,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X2)
| ~ member(esk22_2(esk17_0,esk16_0),X2)
| ~ member(esk23_2(esk17_0,esk16_0),X2)
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_285]),c_0_426])]) ).
cnf(c_0_430,plain,
( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
| ~ epred1_2(esk16_0,X1)
| ~ member(esk20_2(esk17_0,esk16_0),X1)
| ~ member(esk19_2(esk17_0,esk16_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_285]),c_0_405])]) ).
cnf(c_0_431,plain,
( epred1_2(X1,X2)
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
| ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
i_0_79 ).
cnf(c_0_432,negated_conjecture,
( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
| ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0))
| ~ member(X1,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_417]),c_0_204]),c_0_387])]) ).
cnf(c_0_433,negated_conjecture,
apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_408]),c_0_204]),c_0_376])]) ).
cnf(c_0_434,plain,
( ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
| ~ apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_388])]),c_0_263]),c_0_433])]) ).
cnf(c_0_435,plain,
( epred1_2(X1,X2)
| apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
| ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
| ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
i_0_81 ).
cnf(c_0_436,plain,
~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_433])]),c_0_263]) ).
cnf(c_0_437,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_285]),c_0_426])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET765+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 01:18:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 41.55/6.68 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 41.55/6.68 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 41.55/6.68 # Preprocessing time : 1.091 s
% 41.55/6.68
% 41.55/6.68 # Proof found!
% 41.55/6.68 # SZS status Theorem
% 41.55/6.68 # SZS output start CNFRefutation
% See solution above
% 41.55/6.69 # Training examples: 0 positive, 0 negative
% 41.55/6.69
% 41.55/6.69 # -------------------------------------------------
% 41.55/6.69 # User time : 4.034 s
% 41.55/6.69 # System time : 0.149 s
% 41.55/6.69 # Total time : 4.183 s
% 41.55/6.69 # ...preprocessing : 1.091 s
% 41.55/6.69 # ...main loop : 3.091 s
% 41.55/6.69 # Maximum resident set size: 175616 pages
% 41.55/6.69
%------------------------------------------------------------------------------