TSTP Solution File: NUM862+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM862+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 : Mon Jul 18 08:40:43 EDT 2022
% Result : Theorem 143.60s 19.46s
% Output : CNFRefutation 143.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 27
% Syntax : Number of clauses : 339 ( 21 unt; 93 nHn; 314 RR)
% Number of literals : 916 ( 31 equ; 472 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 723 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_10) ).
cnf(i_0_9,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_9) ).
cnf(i_0_5,plain,
( lesseq(X1,X2)
| ~ lesseq(sum(X3,X1),sum(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_5) ).
cnf(i_0_15,plain,
( lesseq(sum(c,summation(max(X1,X2))),X3)
| ~ model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_15) ).
cnf(i_0_14,plain,
( model_max(X1,X2,X3)
| ~ lesseq(sum(c,summation(max(X1,X2))),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_14) ).
cnf(i_0_8,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_8) ).
cnf(i_0_7,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_7) ).
cnf(i_0_1,plain,
lesseq(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_1) ).
cnf(i_0_16,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X4)
| ~ lesseq(sum(c,summation(X4)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_16) ).
cnf(i_0_17,plain,
( lesseq(sum(c,summation(esk1_3(X1,X2,X3))),X3)
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_17) ).
cnf(i_0_2,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_2) ).
cnf(i_0_4,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_4) ).
cnf(i_0_11,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_11) ).
cnf(i_0_13,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_13) ).
cnf(i_0_18,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_18) ).
cnf(i_0_12,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_12) ).
cnf(i_0_26,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_26) ).
cnf(i_0_27,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_27) ).
cnf(i_0_24,plain,
( minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk3_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_24) ).
cnf(i_0_21,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_21) ).
cnf(i_0_22,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_22) ).
cnf(i_0_25,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_25) ).
cnf(i_0_19,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,esk2_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_19) ).
cnf(i_0_20,plain,
( minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk2_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_20) ).
cnf(i_0_6,plain,
( lesseq(sum(X1,X2),sum(X1,X3))
| ~ lesseq(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_6) ).
cnf(i_0_23,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk3_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_23) ).
cnf(i_0_28,negated_conjecture,
( ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-t2xx636d/lgb.p',i_0_28) ).
cnf(c_0_56,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
i_0_10 ).
cnf(c_0_57,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
i_0_9 ).
cnf(c_0_58,plain,
( lesseq(X1,X2)
| ~ lesseq(sum(X3,X1),sum(X3,X2)) ),
i_0_5 ).
cnf(c_0_59,plain,
( lesseq(sum(c,summation(max(X1,X2))),X3)
| ~ model_max(X1,X2,X3) ),
i_0_15 ).
cnf(c_0_60,plain,
( model_max(X1,X2,X3)
| ~ lesseq(sum(c,summation(max(X1,X2))),X3) ),
i_0_14 ).
cnf(c_0_61,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
i_0_8 ).
cnf(c_0_63,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
i_0_7 ).
cnf(c_0_64,plain,
( lesseq(summation(max(X1,X2)),X3)
| ~ model_max(X1,X2,sum(c,X3)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( model_max(X1,X2,X3)
| ~ lesseq(sum(c,summation(X2)),X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_56]) ).
cnf(c_0_66,plain,
lesseq(X1,X1),
i_0_1 ).
cnf(c_0_67,plain,
( summation(X1) = summation(X2)
| ~ lesseq(summation(X2),summation(X1))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( model_max(X1,X2,sum(c,summation(X2)))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( lesseq(summation(X1),X2)
| ~ model_max(X3,X1,sum(c,X2))
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_56]) ).
cnf(c_0_71,plain,
model_max(X1,X2,sum(c,summation(max(X1,X2)))),
inference(spm,[status(thm)],[c_0_60,c_0_66]) ).
cnf(c_0_72,plain,
( summation(X1) = summation(X2)
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_73,plain,
( lesseq(max(X1,X2),X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
( lesseq(summation(X1),summation(max(X2,X1)))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
( summation(max(X1,X2)) = summation(X2)
| ~ lesseq(X2,max(X1,X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( lesseq(X1,max(X2,X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_74]) ).
cnf(c_0_77,plain,
( summation(max(X1,X2)) = summation(X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X4)
| ~ lesseq(sum(c,summation(X4)),X3) ),
i_0_16 ).
cnf(c_0_79,plain,
( lesseq(sum(c,summation(esk1_3(X1,X2,X3))),X3)
| ~ model_ub(X1,X2,X3) ),
i_0_17 ).
cnf(c_0_80,plain,
( model_max(X1,X2,X3)
| ~ lesseq(sum(c,summation(X1)),X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_81,plain,
( lesseq(max(X1,X2),X3)
| ~ lesseq(summation(X2),summation(X3))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_82,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
i_0_2 ).
cnf(c_0_83,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
i_0_4 ).
cnf(c_0_84,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,esk1_3(X4,X5,X3))
| ~ model_ub(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
i_0_11 ).
cnf(c_0_86,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
i_0_13 ).
cnf(c_0_87,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
i_0_18 ).
cnf(c_0_88,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
i_0_12 ).
cnf(c_0_89,plain,
( model_max(X1,X2,sum(c,summation(X1)))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_66]) ).
cnf(c_0_90,plain,
( lesseq(max(X1,X2),X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_81,c_0_62]) ).
cnf(c_0_91,plain,
( lesseq(summation(X1),X2)
| ~ model_max(X1,X3,sum(c,X2))
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_92,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_93,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,esk1_3(X4,X5,X3))
| ~ lesseq(X1,esk1_3(X4,X5,X3))
| ~ model_ub(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( lesseq(X1,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
( lesseq(X1,esk1_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_96,plain,
( lesseq(max(X1,X2),X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_89]) ).
cnf(c_0_97,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,max(X3,X4))
| ~ lesseq(X3,X4)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_90]) ).
cnf(c_0_98,plain,
( lesseq(summation(X1),summation(max(X1,X2)))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_71]) ).
cnf(c_0_99,plain,
( lesseq(X1,X2)
| lesseq(X2,X3)
| lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_83]) ).
cnf(c_0_100,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,esk1_3(X2,X4,X3))
| ~ model_ub(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_101,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X3)
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_95]) ).
cnf(c_0_102,plain,
( summation(max(X1,X2)) = summation(X1)
| ~ lesseq(X1,max(X1,X2))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_96]) ).
cnf(c_0_103,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,X3)
| ~ lesseq(X3,X4)
| ~ lesseq(X4,X2)
| ~ lesseq(X4,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_57]) ).
cnf(c_0_104,plain,
( lesseq(X1,max(X1,X2))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_98]) ).
cnf(c_0_105,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| lesseq(X4,X3)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_99]) ).
cnf(c_0_106,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,X4)
| ~ model_ub(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_107,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
i_0_26 ).
cnf(c_0_108,plain,
summation(max(X1,X1)) = summation(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_76]),c_0_66])]) ).
cnf(c_0_109,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X2)
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_94]) ).
cnf(c_0_110,plain,
( lesseq(X1,X2)
| ~ lesseq(max(X1,X3),X4)
| ~ lesseq(X4,max(X1,X3))
| ~ lesseq(X4,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( lesseq(X1,X2)
| lesseq(X2,X3)
| ~ lesseq(X1,X4)
| ~ lesseq(X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_83]),c_0_105]) ).
cnf(c_0_112,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X5)
| ~ lesseq(X5,X3)
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_101]) ).
cnf(c_0_113,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,X4)
| ~ minsol_model_ub(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
i_0_27 ).
cnf(c_0_115,plain,
( lesseq(max(X1,X1),X2)
| ~ lesseq(summation(X1),summation(X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_108]) ).
cnf(c_0_116,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X5)
| ~ lesseq(X5,X2)
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_82,c_0_109]) ).
cnf(c_0_117,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,max(X4,X5))
| ~ model_max(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_59]) ).
cnf(c_0_118,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,max(X1,X4))
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X4)
| ~ lesseq(X4,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_90]),c_0_111]) ).
cnf(c_0_119,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X5)
| ~ lesseq(X5,X3)
| ~ minsol_model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_112,c_0_107]) ).
cnf(c_0_120,negated_conjecture,
( model_ub(X1,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,plain,
lesseq(max(X1,X1),X1),
inference(spm,[status(thm)],[c_0_115,c_0_66]) ).
cnf(c_0_122,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ lesseq(X1,X5)
| ~ lesseq(X5,X2)
| ~ minsol_model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_116,c_0_107]) ).
cnf(c_0_123,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X5,X3)
| ~ lesseq(X2,max(X4,X5))
| ~ lesseq(X1,max(X4,X5)) ),
inference(spm,[status(thm)],[c_0_117,c_0_85]) ).
cnf(c_0_124,plain,
( lesseq(X1,X2)
| ~ lesseq(max(X1,X3),X2)
| ~ lesseq(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_66]),c_0_76]) ).
cnf(c_0_125,negated_conjecture,
( lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_114]) ).
cnf(c_0_126,plain,
( minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk3_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
i_0_24 ).
cnf(c_0_127,plain,
( model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_120,c_0_66]) ).
cnf(c_0_128,plain,
( max(X1,X1) = X1
| ~ lesseq(X1,max(X1,X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_121]) ).
cnf(c_0_129,negated_conjecture,
( lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X2,esk4_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_114]) ).
cnf(c_0_130,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X2,X3)
| ~ lesseq(X1,max(X4,X2))
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_76]) ).
cnf(c_0_131,plain,
( lesseq(X1,max(X1,X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_66]) ).
cnf(c_0_132,plain,
( lesseq(X1,summation(X2))
| ~ lesseq(X1,summation(X3))
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_62]) ).
cnf(c_0_133,plain,
( lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_66]) ).
cnf(c_0_134,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_95]) ).
cnf(c_0_135,plain,
( model_ub(esk5_0,esk4_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,sum(c,summation(max(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_82,c_0_59]) ).
cnf(c_0_137,plain,
max(X1,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_76]),c_0_66])]) ).
cnf(c_0_138,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
i_0_21 ).
cnf(c_0_139,plain,
( lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_66]) ).
cnf(c_0_140,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_141,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
i_0_22 ).
cnf(c_0_142,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_132,c_0_62]) ).
cnf(c_0_143,plain,
( lesseq(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_66]) ).
cnf(c_0_144,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
i_0_25 ).
cnf(c_0_145,plain,
( model_ub(X1,max(X2,X3),X4)
| ~ model_max(X2,X3,X4)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_123,c_0_66]) ).
cnf(c_0_146,plain,
( model_ub(esk4_0,esk5_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_147,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X3,X2)
| ~ lesseq(X1,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_148,plain,
( lesseq(X1,sum(c,summation(max(X2,X3))))
| ~ minsol_model_max(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_71]) ).
cnf(c_0_149,plain,
( lesseq(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_66]) ).
cnf(c_0_150,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,X2)
| ~ minsol_model_max(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_151,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,esk2_3(X1,X2,X3)) ),
i_0_19 ).
cnf(c_0_152,plain,
( minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk2_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
i_0_20 ).
cnf(c_0_153,plain,
( model_max(X1,X1,X2)
| ~ lesseq(sum(c,summation(X1)),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_108]) ).
cnf(c_0_154,plain,
( lesseq(sum(X1,X2),sum(X1,X3))
| ~ lesseq(X2,X3) ),
i_0_6 ).
cnf(c_0_155,plain,
( lesseq(summation(X1),summation(esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_156,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X5,max(X3,X4))
| ~ minsol_model_ub(X5,max(X3,X4),X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_157,plain,
( lesseq(X1,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_ub(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_146]) ).
cnf(c_0_158,plain,
( lesseq(X1,X2)
| ~ model_max(max(X3,X4),max(X3,X4),X2)
| ~ minsol_model_max(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_159,plain,
( lesseq(summation(X1),summation(esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_149]) ).
cnf(c_0_160,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X4)
| ~ minsol_model_ub(X3,X4,X1)
| ~ minsol_model_max(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_150]) ).
cnf(c_0_161,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X3,X4,X1)
| ~ minsol_model_max(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_138,c_0_141]) ).
cnf(c_0_162,plain,
( minsol_model_max(X1,X2,sum(c,summation(max(X3,X4))))
| ~ model_max(X3,X4,esk2_3(X1,X2,sum(c,summation(max(X3,X4)))))
| ~ model_max(X1,X2,sum(c,summation(max(X3,X4)))) ),
inference(spm,[status(thm)],[c_0_151,c_0_59]) ).
cnf(c_0_163,plain,
( model_max(X1,X2,esk2_3(X1,X2,sum(c,summation(max(X1,X2)))))
| minsol_model_max(X1,X2,sum(c,summation(max(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_152,c_0_71]) ).
cnf(c_0_164,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,sum(c,summation(esk1_3(X3,X4,X2))))
| ~ model_ub(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_79]) ).
cnf(c_0_165,plain,
( model_max(X1,X1,sum(c,X2))
| ~ lesseq(summation(X1),X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_166,plain,
( lesseq(summation(esk5_0),summation(esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_66]) ).
cnf(c_0_167,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X3,X2)
| ~ lesseq(X4,X3)
| ~ minsol_model_ub(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_137]) ).
cnf(c_0_168,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk3_3(X1,X2,X3)) ),
i_0_23 ).
cnf(c_0_169,negated_conjecture,
( lesseq(esk6_0,esk3_3(esk5_0,esk4_0,esk6_0))
| minsol_model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_114]) ).
cnf(c_0_170,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X3,X2)
| ~ lesseq(X4,X3)
| ~ minsol_model_max(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_57]) ).
cnf(c_0_171,plain,
( lesseq(summation(esk4_0),summation(esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_66]) ).
cnf(c_0_172,negated_conjecture,
( lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,esk5_0)
| ~ minsol_model_max(esk4_0,esk5_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_114]),c_0_161]) ).
cnf(c_0_173,plain,
minsol_model_max(X1,X2,sum(c,summation(max(X1,X2)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_71])]) ).
cnf(c_0_174,plain,
( lesseq(sum(c,summation(max(X1,X2))),X3)
| ~ model_max(X1,X2,sum(c,summation(esk1_3(X4,X5,X3))))
| ~ model_ub(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_164,c_0_59]) ).
cnf(c_0_175,plain,
( model_max(esk5_0,esk5_0,sum(c,summation(esk1_3(esk4_0,esk5_0,esk6_0))))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_176,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_134,c_0_127]) ).
cnf(c_0_177,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X4)
| ~ minsol_model_ub(X3,X4,X1)
| ~ minsol_model_max(X4,X4,X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_141]) ).
cnf(c_0_178,plain,
( minsol_model_ub(esk5_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_127]) ).
cnf(c_0_179,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X4)
| ~ minsol_model_max(X4,X3,X1)
| ~ minsol_model_max(X4,X4,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_141]) ).
cnf(c_0_180,plain,
( model_max(esk4_0,esk4_0,sum(c,summation(esk1_3(esk4_0,esk5_0,esk6_0))))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_171]) ).
cnf(c_0_181,plain,
( sum(c,summation(max(X1,X2))) = X3
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,sum(c,summation(max(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_182,plain,
( lesseq(esk6_0,sum(c,summation(max(esk4_0,esk5_0))))
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_183,plain,
( lesseq(sum(c,summation(esk5_0)),esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_108]),c_0_176]) ).
cnf(c_0_184,plain,
( lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,esk4_0)
| ~ minsol_model_max(esk4_0,esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_185,plain,
( lesseq(sum(c,summation(esk4_0)),esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_180]),c_0_108]),c_0_176]) ).
cnf(c_0_186,plain,
( sum(c,summation(max(esk4_0,esk5_0))) = esk6_0
| ~ model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_187,plain,
( model_max(X1,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_183]) ).
cnf(c_0_188,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,sum(c,summation(X4)))
| ~ lesseq(X3,X4) ),
inference(spm,[status(thm)],[c_0_136,c_0_56]) ).
cnf(c_0_189,plain,
( lesseq(esk6_0,sum(c,summation(esk4_0)))
| ~ lesseq(esk5_0,esk4_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_173]),c_0_108]) ).
cnf(c_0_190,plain,
( model_max(esk4_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_185]) ).
cnf(c_0_191,plain,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_186]) ).
cnf(c_0_192,plain,
( model_max(X1,esk5_0,esk6_0)
| lesseq(esk5_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_83]) ).
cnf(c_0_193,plain,
( model_max(X1,max(X2,X3),X4)
| ~ model_max(X2,X3,X4)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_194,plain,
( lesseq(esk6_0,X1)
| ~ model_max(X2,esk4_0,X1)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,plain,
( model_max(esk4_0,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_190]) ).
cnf(c_0_196,plain,
( lesseq(esk5_0,esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_83]) ).
cnf(c_0_197,plain,
( model_max(X1,X2,X3)
| ~ model_max(X2,X4,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_57]) ).
cnf(c_0_198,plain,
( lesseq(esk6_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_66])]),c_0_196]) ).
cnf(c_0_199,plain,
( model_max(X1,X2,X3)
| ~ model_max(X2,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_137]) ).
cnf(c_0_200,plain,
( lesseq(X1,sum(c,summation(esk4_0)))
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_189]) ).
cnf(c_0_201,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X4,X2)
| ~ minsol_model_max(X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_197,c_0_141]) ).
cnf(c_0_202,plain,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_198]),c_0_190]) ).
cnf(c_0_203,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X2)
| ~ minsol_model_max(X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_199,c_0_141]) ).
cnf(c_0_204,plain,
( lesseq(X1,X2)
| ~ model_max(esk4_0,esk4_0,X2)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_147,c_0_200]) ).
cnf(c_0_205,plain,
( lesseq(sum(c,summation(X1)),X2)
| ~ model_max(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_137]) ).
cnf(c_0_206,plain,
( model_max(X1,esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).
cnf(c_0_207,plain,
( lesseq(esk4_0,esk5_0)
| lesseq(X1,X2)
| ~ model_max(esk4_0,esk4_0,X2)
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_204,c_0_83]) ).
cnf(c_0_208,plain,
( lesseq(sum(c,summation(esk4_0)),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_66])]) ).
cnf(c_0_209,plain,
( lesseq(X1,sum(c,summation(esk4_0)))
| lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk6_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_71]),c_0_108]) ).
cnf(c_0_210,plain,
( model_max(esk4_0,esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_208]) ).
cnf(c_0_211,plain,
( lesseq(esk6_0,sum(c,summation(esk4_0)))
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_66]) ).
cnf(c_0_212,plain,
( model_max(esk4_0,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| minsol_model_max(esk4_0,esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_210]) ).
cnf(c_0_213,plain,
( lesseq(X1,max(X2,X3))
| ~ lesseq(summation(X1),summation(X3))
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_214,plain,
( model_max(max(X1,X2),X3,X4)
| ~ model_max(X1,X2,X4)
| ~ lesseq(X3,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_59]) ).
cnf(c_0_215,plain,
( lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,X1)
| ~ model_max(X2,esk4_0,X1)
| ~ lesseq(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_211]) ).
cnf(c_0_216,plain,
( model_max(esk4_0,esk4_0,esk2_3(esk4_0,esk4_0,esk6_0))
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_212,c_0_83]) ).
cnf(c_0_217,plain,
( lesseq(esk4_0,max(X1,esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk1_3(esk4_0,esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_213,c_0_171]) ).
cnf(c_0_218,plain,
( lesseq(X1,summation(esk4_0))
| ~ lesseq(sum(c,X1),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_200]) ).
cnf(c_0_219,plain,
( lesseq(sum(c,X1),X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,summation(max(X3,X4))) ),
inference(spm,[status(thm)],[c_0_136,c_0_154]) ).
cnf(c_0_220,plain,
( model_max(X1,X2,X3)
| ~ model_max(X1,X4,X3)
| ~ lesseq(X2,X1)
| ~ lesseq(X4,X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_57]) ).
cnf(c_0_221,plain,
( model_max(X1,X2,X3)
| ~ model_max(X1,X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_137]) ).
cnf(c_0_222,plain,
( lesseq(esk6_0,esk2_3(esk4_0,esk4_0,esk6_0))
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_66])]) ).
cnf(c_0_223,plain,
( lesseq(esk4_0,max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_143]) ).
cnf(c_0_224,plain,
( lesseq(X1,esk4_0)
| ~ lesseq(sum(c,summation(X1)),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_218]) ).
cnf(c_0_225,plain,
( lesseq(sum(c,summation(X1)),X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_219,c_0_62]) ).
cnf(c_0_226,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X2,X1)
| ~ lesseq(X4,X1)
| ~ minsol_model_max(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_220,c_0_141]) ).
cnf(c_0_227,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X2,X1)
| ~ minsol_model_max(X1,X1,X3) ),
inference(spm,[status(thm)],[c_0_221,c_0_141]) ).
cnf(c_0_228,plain,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0)
| ~ model_max(esk4_0,esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_222]) ).
cnf(c_0_229,plain,
( max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_223]) ).
cnf(c_0_230,plain,
( lesseq(max(X1,X2),esk4_0)
| ~ model_max(X1,X2,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_224,c_0_59]) ).
cnf(c_0_231,plain,
( lesseq(sum(c,summation(X1)),X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_225,c_0_131]) ).
cnf(c_0_232,plain,
( model_max(esk4_0,X1,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_202]),c_0_227]) ).
cnf(c_0_233,plain,
( lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk4_0,esk6_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_206]),c_0_66])]),c_0_83]) ).
cnf(c_0_234,plain,
( lesseq(esk4_0,max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_ub(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_217,c_0_94]) ).
cnf(c_0_235,plain,
( max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_236,plain,
( lesseq(sum(c,summation(X1)),X2)
| ~ lesseq(X1,X3)
| ~ minsol_model_max(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_231,c_0_141]) ).
cnf(c_0_237,plain,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_232]),c_0_196]) ).
cnf(c_0_238,plain,
( model_max(X1,esk4_0,esk6_0)
| lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_233]) ).
cnf(c_0_239,plain,
( lesseq(esk4_0,max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_107]),c_0_114]) ).
cnf(c_0_240,plain,
( max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_235,c_0_83]) ).
cnf(c_0_241,plain,
( model_max(X1,esk1_3(X2,X3,X4),X4)
| ~ lesseq(X1,esk1_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_65,c_0_79]) ).
cnf(c_0_242,plain,
( lesseq(sum(c,summation(esk4_0)),esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_243,plain,
( model_max(esk4_0,esk4_0,esk6_0)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_238,c_0_66]) ).
cnf(c_0_244,plain,
( max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_239]) ).
cnf(c_0_245,plain,
( max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_176]),c_0_143]) ).
cnf(c_0_246,plain,
( lesseq(X1,max(X2,X3))
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_76]) ).
cnf(c_0_247,plain,
( lesseq(sum(c,summation(X1)),X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_56]) ).
cnf(c_0_248,plain,
model_max(esk4_0,esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_242]),c_0_243]) ).
cnf(c_0_249,plain,
( model_max(X1,X2,X3)
| lesseq(X3,sum(c,summation(max(X1,X2)))) ),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_250,plain,
( max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_244,c_0_230]) ).
cnf(c_0_251,plain,
( model_max(esk4_0,X1,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_185]) ).
cnf(c_0_252,plain,
( lesseq(esk1_3(esk4_0,esk5_0,esk6_0),esk4_0)
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_245]),c_0_99]) ).
cnf(c_0_253,plain,
( model_max(X1,X1,max(X2,X3))
| ~ lesseq(sum(c,summation(X1)),X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_246]) ).
cnf(c_0_254,plain,
lesseq(sum(c,summation(esk4_0)),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_66])]) ).
cnf(c_0_255,plain,
( model_max(X1,X2,X3)
| lesseq(X3,X4)
| ~ model_max(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_136,c_0_249]) ).
cnf(c_0_256,plain,
( max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| lesseq(esk4_0,esk5_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ model_max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_250,c_0_83]) ).
cnf(c_0_257,plain,
( model_max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0),esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_237]) ).
cnf(c_0_258,plain,
( model_max(esk4_0,esk4_0,max(X1,esk6_0))
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_259,plain,
( model_max(esk4_0,esk4_0,X1)
| lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_255,c_0_248]) ).
cnf(c_0_260,plain,
( max(esk4_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_237]) ).
cnf(c_0_261,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X2,X4,X3)
| ~ lesseq(X1,max(X2,X4))
| ~ lesseq(X2,X4) ),
inference(spm,[status(thm)],[c_0_123,c_0_131]) ).
cnf(c_0_262,plain,
( model_max(esk4_0,esk4_0,X1)
| ~ lesseq(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_57]),c_0_259]) ).
cnf(c_0_263,plain,
( max(esk5_0,esk1_3(esk4_0,esk5_0,esk6_0)) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk1_3(esk4_0,esk5_0,esk6_0),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_90]),c_0_143]) ).
cnf(c_0_264,plain,
( esk1_3(esk4_0,esk5_0,esk6_0) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_260]),c_0_149]) ).
cnf(c_0_265,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_261,c_0_131]) ).
cnf(c_0_266,plain,
( lesseq(esk4_0,X1)
| ~ lesseq(esk6_0,sum(c,summation(X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_262]),c_0_137]) ).
cnf(c_0_267,plain,
( max(esk5_0,esk4_0) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_66])]) ).
cnf(c_0_268,plain,
( lesseq(X1,max(X2,X3))
| ~ lesseq(X1,X2)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_131]) ).
cnf(c_0_269,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_265,c_0_193]) ).
cnf(c_0_270,plain,
( lesseq(esk4_0,max(X1,X2))
| ~ minsol_model_max(X1,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_266,c_0_148]) ).
cnf(c_0_271,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X2,X4,X3)
| ~ lesseq(X1,max(X2,X4))
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_104]) ).
cnf(c_0_272,plain,
( lesseq(max(X1,X2),X3)
| ~ minsol_model_max(X1,X2,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_68,c_0_141]) ).
cnf(c_0_273,plain,
( minsol_model_max(esk5_0,esk4_0,sum(c,summation(esk4_0)))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_267]) ).
cnf(c_0_274,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X4)
| ~ lesseq(X4,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_268]) ).
cnf(c_0_275,plain,
( lesseq(summation(esk1_3(X1,X2,sum(c,X3))),X3)
| ~ model_ub(X1,X2,sum(c,X3)) ),
inference(spm,[status(thm)],[c_0_58,c_0_79]) ).
cnf(c_0_276,plain,
( model_ub(esk4_0,esk4_0,X1)
| ~ model_max(X2,X3,X1)
| ~ minsol_model_max(X2,X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_277,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_104]) ).
cnf(c_0_278,plain,
( lesseq(max(esk5_0,esk4_0),esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_279,plain,
( lesseq(X1,X2)
| ~ lesseq(esk1_3(X3,X4,X5),X2)
| ~ lesseq(X1,X3)
| ~ model_ub(X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_274,c_0_94]) ).
cnf(c_0_280,plain,
( lesseq(esk1_3(X1,X2,sum(c,summation(X3))),X3)
| ~ model_ub(X1,X2,sum(c,summation(X3))) ),
inference(spm,[status(thm)],[c_0_63,c_0_275]) ).
cnf(c_0_281,plain,
( model_ub(esk4_0,esk4_0,X1)
| ~ minsol_model_max(X2,X3,esk6_0)
| ~ minsol_model_max(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_141]) ).
cnf(c_0_282,plain,
( model_ub(X1,X1,X2)
| ~ lesseq(X3,X1)
| ~ minsol_model_max(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_277,c_0_141]) ).
cnf(c_0_283,plain,
( X1 = max(X2,X3)
| ~ lesseq(max(X2,X3),X1)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_246]) ).
cnf(c_0_284,plain,
( lesseq(max(esk5_0,esk4_0),esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_278]) ).
cnf(c_0_285,plain,
( lesseq(esk1_3(esk4_0,esk5_0,esk6_0),esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_260]),c_0_83]) ).
cnf(c_0_286,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,X3)
| ~ model_ub(X3,X4,sum(c,summation(X2))) ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_287,plain,
( model_ub(esk4_0,esk4_0,X1)
| ~ minsol_model_max(esk4_0,esk5_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_196]),c_0_282]) ).
cnf(c_0_288,plain,
( lesseq(esk4_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk1_3(esk4_0,esk5_0,esk6_0),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_223]),c_0_143]) ).
cnf(c_0_289,plain,
( esk1_3(esk4_0,esk5_0,esk6_0) = max(esk5_0,esk4_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_196]),c_0_285]) ).
cnf(c_0_290,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,esk4_0)
| ~ minsol_model_max(esk4_0,esk5_0,sum(c,summation(X2))) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_291,plain,
( model_max(X1,X2,X3)
| ~ model_max(X4,X2,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_56]) ).
cnf(c_0_292,plain,
( lesseq(X1,X2)
| ~ lesseq(X1,max(X3,X2))
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_73]) ).
cnf(c_0_293,plain,
( model_max(X1,X2,esk6_0)
| lesseq(esk4_0,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_266,c_0_249]) ).
cnf(c_0_294,plain,
( lesseq(esk4_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(max(esk5_0,esk4_0),X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_295,plain,
( lesseq(X1,max(esk4_0,esk5_0))
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_290,c_0_173]) ).
cnf(c_0_296,plain,
( model_max(X1,esk4_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_248]),c_0_66])]) ).
cnf(c_0_297,plain,
( model_max(X1,X2,esk6_0)
| lesseq(esk4_0,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_298,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X3)
| ~ lesseq(X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_57]),c_0_82]) ).
cnf(c_0_299,plain,
lesseq(esk4_0,max(esk4_0,esk5_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_278]),c_0_270]) ).
cnf(c_0_300,plain,
( lesseq(max(esk4_0,X1),esk1_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_96]) ).
cnf(c_0_301,plain,
( model_max(X1,X2,esk6_0)
| ~ lesseq(X2,esk4_0)
| ~ lesseq(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_296]),c_0_297]) ).
cnf(c_0_302,plain,
( max(esk4_0,esk5_0) = esk4_0
| ~ lesseq(max(esk4_0,esk5_0),X1)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_303,plain,
( lesseq(max(esk4_0,X1),esk1_3(esk4_0,esk5_0,esk6_0))
| lesseq(esk4_0,X1)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_300,c_0_83]) ).
cnf(c_0_304,plain,
( model_ub(X1,X2,sum(c,summation(X3)))
| ~ ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_66]) ).
cnf(c_0_305,plain,
( model_ub(max(X1,X2),X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_66]) ).
cnf(c_0_306,plain,
( lesseq(X1,esk6_0)
| ~ lesseq(max(X2,X3),esk4_0)
| ~ minsol_model_max(X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_301]),c_0_66])]) ).
cnf(c_0_307,plain,
( max(esk4_0,esk5_0) = esk4_0
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_285]),c_0_237]) ).
cnf(c_0_308,plain,
( lesseq(X1,sum(c,summation(X2)))
| ~ ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_304]) ).
cnf(c_0_309,plain,
( model_ub(X1,X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_94]) ).
cnf(c_0_310,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X1,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_137]),c_0_66])]) ).
cnf(c_0_311,plain,
( lesseq(X1,esk6_0)
| ~ minsol_model_max(esk4_0,esk5_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_66])]),c_0_161]) ).
cnf(c_0_312,plain,
( lesseq(X1,sum(c,summation(X2)))
| ~ lesseq(X3,X2)
| ~ lesseq(X4,X2)
| ~ minsol_model_ub(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_308,c_0_85]) ).
cnf(c_0_313,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_76]) ).
cnf(c_0_314,plain,
( model_ub(X1,X1,X2)
| ~ lesseq(X1,X3)
| ~ minsol_model_max(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_309,c_0_150]) ).
cnf(c_0_315,plain,
( model_ub(X1,X1,X2)
| ~ minsol_model_max(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_310,c_0_141]) ).
cnf(c_0_316,plain,
lesseq(sum(c,summation(max(esk4_0,esk5_0))),esk6_0),
inference(spm,[status(thm)],[c_0_311,c_0_173]) ).
cnf(c_0_317,negated_conjecture,
( lesseq(esk6_0,sum(c,summation(X1)))
| minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk5_0,X1)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_312,c_0_114]) ).
cnf(c_0_318,plain,
( lesseq(X1,sum(c,summation(X2)))
| ~ lesseq(X3,X2)
| ~ minsol_model_max(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_69]) ).
cnf(c_0_319,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,esk1_3(X4,X5,X3))
| ~ lesseq(X2,X4)
| ~ model_ub(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_109]) ).
cnf(c_0_320,plain,
( model_ub(X1,X1,X2)
| ~ lesseq(X3,X1)
| ~ minsol_model_max(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_313,c_0_141]) ).
cnf(c_0_321,plain,
( model_ub(esk4_0,esk4_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_202]),c_0_315]) ).
cnf(c_0_322,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X1,sum(c,summation(X3)))
| ~ lesseq(X4,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_57]) ).
cnf(c_0_323,plain,
model_max(esk4_0,esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_60,c_0_316]) ).
cnf(c_0_324,plain,
( lesseq(X1,sum(X2,X3))
| ~ lesseq(X1,sum(X2,X4))
| ~ lesseq(X4,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_154]) ).
cnf(c_0_325,plain,
( lesseq(esk6_0,sum(c,summation(esk5_0)))
| ~ lesseq(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_66]),c_0_318]) ).
cnf(c_0_326,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X4)
| ~ model_ub(X4,X1,X3) ),
inference(spm,[status(thm)],[c_0_319,c_0_95]) ).
cnf(c_0_327,plain,
( model_ub(esk1_3(X1,X2,X3),X1,X3)
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_66]) ).
cnf(c_0_328,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| lesseq(X2,X1)
| ~ model_ub(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_92,c_0_94]) ).
cnf(c_0_329,plain,
model_ub(esk4_0,esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_233]),c_0_66])]),c_0_321]) ).
cnf(c_0_330,plain,
( lesseq(esk6_0,X1)
| ~ model_max(esk4_0,X2,X1)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_322,c_0_189]) ).
cnf(c_0_331,plain,
( model_max(esk4_0,esk5_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_323]) ).
cnf(c_0_332,plain,
( lesseq(esk6_0,sum(c,X1))
| ~ lesseq(summation(esk5_0),X1)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_333,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,esk1_3(X1,X4,X3))
| ~ model_ub(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_334,plain,
( lesseq(X1,esk1_3(esk4_0,esk4_0,esk6_0))
| lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_335,plain,
( lesseq(esk6_0,esk2_3(esk4_0,esk5_0,esk6_0))
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_196]) ).
cnf(c_0_336,plain,
( lesseq(esk6_0,sum(c,summation(X1)))
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_332,c_0_62]) ).
cnf(c_0_337,plain,
( lesseq(esk4_0,X1)
| model_ub(esk4_0,X1,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_329])]) ).
cnf(c_0_338,negated_conjecture,
( ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_ub(esk4_0,esk5_0,esk6_0) ),
i_0_28 ).
cnf(c_0_339,plain,
minsol_model_max(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_335]),c_0_323])]) ).
cnf(c_0_340,plain,
( lesseq(X1,esk4_0)
| ~ model_max(X1,X2,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_230]) ).
cnf(c_0_341,plain,
( lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,esk1_3(X2,X3,X1))
| ~ lesseq(esk4_0,esk5_0)
| ~ model_ub(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_336]) ).
cnf(c_0_342,plain,
model_ub(esk4_0,esk5_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_323]),c_0_337]) ).
cnf(c_0_343,negated_conjecture,
~ minsol_model_ub(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_339])]) ).
cnf(c_0_344,plain,
( lesseq(X1,esk4_0)
| ~ lesseq(X1,esk1_3(X2,X3,esk6_0))
| ~ lesseq(esk5_0,esk4_0)
| ~ model_ub(X2,X3,esk6_0) ),
inference(spm,[status(thm)],[c_0_340,c_0_241]) ).
cnf(c_0_345,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X1,esk1_3(X4,X5,X3))
| ~ lesseq(X2,X5)
| ~ model_ub(X4,X5,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_101]) ).
cnf(c_0_346,plain,
( lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(esk5_0,X2)
| ~ model_ub(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_101]) ).
cnf(c_0_347,plain,
model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_342]),c_0_343]) ).
cnf(c_0_348,plain,
( lesseq(X1,esk4_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,X2)
| ~ model_ub(X3,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_344,c_0_101]) ).
cnf(c_0_349,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X1)
| ~ model_ub(X4,X1,X3) ),
inference(spm,[status(thm)],[c_0_345,c_0_95]) ).
cnf(c_0_350,plain,
( lesseq(esk6_0,esk3_3(esk4_0,esk5_0,esk6_0))
| ~ lesseq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_66])]) ).
cnf(c_0_351,plain,
( lesseq(X1,X2)
| ~ lesseq(sum(X3,X4),X2)
| ~ lesseq(X1,sum(X3,X5))
| ~ lesseq(X5,X4) ),
inference(spm,[status(thm)],[c_0_274,c_0_154]) ).
cnf(c_0_352,plain,
( lesseq(esk4_0,esk5_0)
| lesseq(X1,esk4_0)
| ~ lesseq(X1,X2)
| ~ model_ub(X3,X2,esk6_0) ),
inference(spm,[status(thm)],[c_0_348,c_0_83]) ).
cnf(c_0_353,plain,
( model_ub(esk5_0,X1,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_349,c_0_342]) ).
cnf(c_0_354,plain,
~ lesseq(esk4_0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_350]),c_0_342])]),c_0_343]) ).
cnf(c_0_355,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ lesseq(X5,summation(max(X3,X4)))
| ~ lesseq(X1,sum(c,X5)) ),
inference(spm,[status(thm)],[c_0_351,c_0_59]) ).
cnf(c_0_356,plain,
( lesseq(X1,esk4_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]) ).
cnf(c_0_357,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X3,X2)
| ~ lesseq(X1,sum(c,X4))
| ~ lesseq(X4,summation(X3)) ),
inference(spm,[status(thm)],[c_0_355,c_0_137]) ).
cnf(c_0_358,plain,
( lesseq(X1,esk4_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_356,c_0_66]) ).
cnf(c_0_359,plain,
( lesseq(esk6_0,X1)
| ~ model_max(X2,X2,X1)
| ~ lesseq(summation(esk4_0),summation(X2))
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_357,c_0_189]) ).
cnf(c_0_360,plain,
lesseq(esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_358,c_0_66]) ).
cnf(c_0_361,plain,
( lesseq(esk6_0,X1)
| ~ model_max(X2,X2,X1)
| ~ lesseq(summation(esk4_0),summation(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_360])]) ).
cnf(c_0_362,plain,
( lesseq(esk6_0,X1)
| ~ model_max(X2,X2,X1)
| ~ lesseq(esk4_0,X2) ),
inference(spm,[status(thm)],[c_0_361,c_0_62]) ).
cnf(c_0_363,plain,
( model_max(esk1_3(X1,X2,X3),X4,X3)
| ~ lesseq(X4,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_364,plain,
( lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,esk1_3(X2,X3,X1))
| ~ model_ub(X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_66])]) ).
cnf(c_0_365,plain,
( lesseq(esk6_0,X1)
| ~ model_ub(esk4_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_94]) ).
cnf(c_0_366,plain,
lesseq(esk6_0,esk3_3(esk4_0,esk5_0,esk6_0)),
inference(spm,[status(thm)],[c_0_365,c_0_347]) ).
cnf(c_0_367,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_366]),c_0_342])]),c_0_343]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM862+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.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 : Thu Jul 7 18:04:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 143.60/19.46 # ENIGMATIC: Solved by autoschedule-lgb:
% 143.60/19.46 # No SInE strategy applied
% 143.60/19.46 # Trying AutoSched0 for 150 seconds
% 143.60/19.46 # AutoSched0-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 143.60/19.46 # and selection function SelectComplexExceptUniqMaxHorn.
% 143.60/19.46 #
% 143.60/19.46 # Preprocessing time : 0.014 s
% 143.60/19.46 # Presaturation interreduction done
% 143.60/19.46
% 143.60/19.46 # Proof found!
% 143.60/19.46 # SZS status Theorem
% 143.60/19.46 # SZS output start CNFRefutation
% See solution above
% 143.60/19.46 # Training examples: 0 positive, 0 negative
% 143.60/19.46
% 143.60/19.46 # -------------------------------------------------
% 143.60/19.46 # User time : 16.579 s
% 143.60/19.46 # System time : 0.610 s
% 143.60/19.46 # Total time : 17.189 s
% 143.60/19.46 # Maximum resident set size: 7128 pages
% 143.60/19.46
%------------------------------------------------------------------------------