TSTP Solution File: NUM859+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM859+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:40:41 EDT 2022
% Result : Theorem 19.42s 3.84s
% Output : CNFRefutation 19.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 26
% Syntax : Number of clauses : 167 ( 14 unt; 35 nHn; 156 RR)
% Number of literals : 403 ( 21 equ; 203 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 284 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_27) ).
cnf(i_0_2,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_2) ).
cnf(i_0_17,plain,
( lesseq(esk1_3(X1,X2,X3),X3)
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_17) ).
cnf(i_0_12,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_12) ).
cnf(i_0_18,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_18) ).
cnf(i_0_15,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_15) ).
cnf(i_0_9,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_9) ).
cnf(i_0_22,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_22) ).
cnf(i_0_10,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_10) ).
cnf(i_0_14,plain,
( model_max(X1,X2,X3)
| ~ lesseq(max(X1,X2),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_14) ).
cnf(i_0_1,plain,
lesseq(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_1) ).
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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_20) ).
cnf(i_0_4,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_4) ).
cnf(i_0_21,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_21) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_3) ).
cnf(i_0_13,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_13) ).
cnf(i_0_16,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ ub(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_16) ).
cnf(i_0_11,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_11) ).
cnf(i_0_8,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_8) ).
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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_24) ).
cnf(i_0_7,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_7) ).
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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_28) ).
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/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_23) ).
cnf(i_0_25,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ntnjnur4/input.p',i_0_25) ).
cnf(c_0_55,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
i_0_26 ).
cnf(c_0_56,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_57,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
i_0_2 ).
cnf(c_0_58,plain,
( lesseq(esk1_3(X1,X2,X3),X3)
| ~ model_ub(X1,X2,X3) ),
i_0_17 ).
cnf(c_0_59,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
i_0_12 ).
cnf(c_0_60,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
i_0_18 ).
cnf(c_0_61,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,X3) ),
i_0_15 ).
cnf(c_0_62,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
i_0_9 ).
cnf(c_0_63,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
i_0_22 ).
cnf(c_0_64,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
i_0_10 ).
cnf(c_0_66,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,esk1_3(X3,X4,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,plain,
( lesseq(X1,esk1_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( lesseq(X1,X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_71,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_74,plain,
( model_max(X1,X2,X3)
| ~ lesseq(max(X1,X2),X3) ),
i_0_14 ).
cnf(c_0_75,plain,
lesseq(X1,X1),
i_0_1 ).
cnf(c_0_76,plain,
( lesseq(esk5_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_57]) ).
cnf(c_0_77,plain,
( lesseq(esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_73]) ).
cnf(c_0_78,plain,
model_max(X1,X2,max(X1,X2)),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,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_80,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_81,plain,
( lesseq(X1,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_76]) ).
cnf(c_0_82,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
i_0_4 ).
cnf(c_0_83,plain,
( lesseq(X1,esk6_0)
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_77]) ).
cnf(c_0_84,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
i_0_21 ).
cnf(c_0_85,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_62]) ).
cnf(c_0_86,plain,
( minsol_model_max(X1,X2,max(X3,X4))
| ~ model_max(X3,X4,esk2_3(X1,X2,max(X3,X4)))
| ~ model_max(X1,X2,max(X3,X4)) ),
inference(spm,[status(thm)],[c_0_79,c_0_61]) ).
cnf(c_0_87,plain,
( model_max(X1,X2,esk2_3(X1,X2,max(X1,X2)))
| minsol_model_max(X1,X2,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_78]) ).
cnf(c_0_88,plain,
( lesseq(X1,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_89,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X2,X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
minsol_model_max(X1,X2,max(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_78])]) ).
cnf(c_0_91,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
i_0_3 ).
cnf(c_0_92,plain,
( lesseq(X1,max(X2,X3))
| ~ minsol_model_max(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_78]) ).
cnf(c_0_93,plain,
( model_max(X1,X2,esk6_0)
| ~ lesseq(max(X1,X2),esk5_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_88]) ).
cnf(c_0_94,plain,
( lesseq(max(X1,X2),X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_96,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
i_0_13 ).
cnf(c_0_97,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_91,c_0_61]) ).
cnf(c_0_98,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,max(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_64]) ).
cnf(c_0_99,plain,
( model_max(esk5_0,X1,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X3,X2,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_95]) ).
cnf(c_0_101,plain,
( lesseq(X1,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_60]) ).
cnf(c_0_102,plain,
( lesseq(X1,X2)
| lesseq(X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_82]) ).
cnf(c_0_103,negated_conjecture,
( max(esk4_0,esk5_0) = esk6_0
| model_ub(esk4_0,esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_69]) ).
cnf(c_0_104,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ ub(X1,X2,X4) ),
i_0_16 ).
cnf(c_0_105,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
i_0_11 ).
cnf(c_0_106,plain,
( lesseq(esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_99]) ).
cnf(c_0_107,plain,
( lesseq(max(X1,X2),X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_90]) ).
cnf(c_0_108,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
i_0_8 ).
cnf(c_0_109,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_101]) ).
cnf(c_0_110,plain,
( lesseq(X1,esk6_0)
| lesseq(X2,X1)
| ~ lesseq(X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_88]) ).
cnf(c_0_111,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ model_max(esk4_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_103]) ).
cnf(c_0_112,plain,
( model_max(X1,X2,X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_62]) ).
cnf(c_0_113,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X4,X3)
| ~ lesseq(X2,X4)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_114,plain,
lesseq(esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_106,c_0_75]) ).
cnf(c_0_115,plain,
( model_max(X1,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_107]) ).
cnf(c_0_116,plain,
( lesseq(X1,summation(X2))
| ~ lesseq(X1,summation(X3))
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_108]) ).
cnf(c_0_117,plain,
( lesseq(esk4_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_72]) ).
cnf(c_0_118,plain,
( lesseq(esk5_0,X1)
| lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_75]) ).
cnf(c_0_119,plain,
( summation(X1) = summation(X2)
| ~ lesseq(summation(X1),summation(X2))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_108]) ).
cnf(c_0_120,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_121,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_122,plain,
( model_ub(X1,X2,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_123,plain,
( lesseq(X1,esk6_0)
| ~ minsol_model_max(X2,esk5_0,X1)
| ~ lesseq(X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_115]) ).
cnf(c_0_124,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_108]) ).
cnf(c_0_125,plain,
lesseq(esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_126,plain,
( summation(X1) = summation(X2)
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_108]) ).
cnf(c_0_127,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
i_0_7 ).
cnf(c_0_128,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk4_0,esk5_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_82]) ).
cnf(c_0_129,plain,
( model_ub(X1,X2,esk3_3(X1,X2,esk6_0))
| minsol_model_ub(X1,X2,esk6_0)
| ~ lesseq(X2,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,plain,
( lesseq(max(X1,esk5_0),esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_90]) ).
cnf(c_0_131,plain,
( lesseq(X1,max(X2,X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_78]) ).
cnf(c_0_132,plain,
( lesseq(summation(X1),summation(esk6_0))
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,plain,
( summation(esk6_0) = summation(esk4_0)
| ~ lesseq(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_134,plain,
( lesseq(summation(X1),summation(X2))
| lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_82]) ).
cnf(c_0_135,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk4_0)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_75]) ).
cnf(c_0_136,plain,
( model_ub(X1,esk5_0,esk3_3(X1,esk5_0,esk6_0))
| minsol_model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_75]) ).
cnf(c_0_137,plain,
( max(X1,esk5_0) = esk6_0
| ~ lesseq(esk6_0,max(X1,esk5_0))
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_130]) ).
cnf(c_0_138,plain,
( lesseq(X1,max(X2,X3))
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_131]) ).
cnf(c_0_139,plain,
lesseq(summation(esk4_0),summation(esk6_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_140,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_141,plain,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0))
| minsol_model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_135]),c_0_136]) ).
cnf(c_0_142,plain,
( max(X1,esk5_0) = esk6_0
| ~ lesseq(esk6_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,plain,
( lesseq(summation(esk4_0),summation(X1))
| ~ lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_139]) ).
cnf(c_0_144,plain,
( lesseq(X1,esk6_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_125]) ).
cnf(c_0_145,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_67]) ).
cnf(c_0_146,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0))
| lesseq(esk6_0,esk4_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
( minsol_model_max(X1,esk5_0,esk6_0)
| ~ lesseq(esk6_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_142]) ).
cnf(c_0_148,plain,
( lesseq(esk4_0,X1)
| ~ lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_143]) ).
cnf(c_0_149,plain,
( model_max(X1,X2,esk6_0)
| ~ lesseq(max(X1,X2),esk4_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_144]) ).
cnf(c_0_150,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,X4) ),
inference(spm,[status(thm)],[c_0_66,c_0_145]) ).
cnf(c_0_151,plain,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk6_0))
| lesseq(esk6_0,esk4_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_102]) ).
cnf(c_0_152,plain,
( lesseq(esk4_0,max(X1,esk6_0))
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_131]) ).
cnf(c_0_153,plain,
( model_max(X1,X2,esk6_0)
| ~ model_max(X1,X2,esk4_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_61]) ).
cnf(c_0_154,plain,
( lesseq(X1,max(X1,X2))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_78]) ).
cnf(c_0_155,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_156,plain,
( lesseq(X1,esk3_3(esk4_0,esk5_0,esk6_0))
| lesseq(esk6_0,esk4_0)
| ~ lesseq(esk6_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_157,plain,
( max(X1,esk6_0) = esk4_0
| ~ model_max(X1,esk6_0,esk4_0)
| ~ lesseq(X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_152]) ).
cnf(c_0_158,plain,
( lesseq(X1,esk6_0)
| ~ model_max(X1,X2,esk4_0)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_153]) ).
cnf(c_0_159,plain,
( max(esk6_0,esk5_0) = esk6_0
| ~ lesseq(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_154]),c_0_114])]) ).
cnf(c_0_160,plain,
( minsol_model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk4_0)
| ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( esk4_0 = X1
| ~ model_max(X1,esk6_0,esk4_0)
| ~ lesseq(esk6_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_157]),c_0_158]) ).
cnf(c_0_162,plain,
( minsol_model_max(esk6_0,esk5_0,esk6_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( lesseq(esk6_0,esk4_0)
| ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_160]) ).
cnf(c_0_164,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
i_0_25 ).
cnf(c_0_165,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_75]) ).
cnf(c_0_166,plain,
( esk4_0 = X1
| ~ lesseq(esk6_0,X1)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_112]) ).
cnf(c_0_167,plain,
( lesseq(esk6_0,max(esk6_0,esk5_0))
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_162]) ).
cnf(c_0_168,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X3,X4,X1)
| ~ lesseq(X3,X2)
| ~ lesseq(X4,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_112]) ).
cnf(c_0_169,plain,
( lesseq(esk6_0,esk4_0)
| ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_147]),c_0_102]) ).
cnf(c_0_170,plain,
( lesseq(X1,X2)
| ~ minsol_model_ub(X3,X4,X1)
| ~ lesseq(X4,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
( max(esk6_0,esk5_0) = esk4_0
| ~ lesseq(max(esk6_0,esk5_0),esk4_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,plain,
( lesseq(max(X1,X2),X3)
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_90]) ).
cnf(c_0_173,plain,
( lesseq(esk6_0,esk4_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_165]),c_0_114]),c_0_125])]) ).
cnf(c_0_174,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,X1)
| ~ lesseq(esk5_0,X1)
| ~ lesseq(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_56]) ).
cnf(c_0_175,plain,
( max(esk6_0,esk5_0) = esk4_0
| ~ lesseq(esk6_0,esk5_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_114])]),c_0_173]) ).
cnf(c_0_176,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_174,c_0_75]),c_0_147]) ).
cnf(c_0_177,plain,
( lesseq(esk5_0,esk4_0)
| ~ lesseq(esk6_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_175]) ).
cnf(c_0_178,plain,
( lesseq(esk6_0,esk5_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_176]) ).
cnf(c_0_179,plain,
lesseq(esk5_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_82]) ).
cnf(c_0_180,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_179]),c_0_75])]) ).
cnf(c_0_181,plain,
( esk6_0 = esk4_0
| ~ lesseq(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_125]) ).
cnf(c_0_182,plain,
lesseq(esk6_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_180]),c_0_179])]) ).
cnf(c_0_183,plain,
( model_ub(X1,X2,esk3_3(X1,X2,X3))
| minsol_model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_165]) ).
cnf(c_0_184,plain,
esk6_0 = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).
cnf(c_0_185,plain,
( model_ub(X1,esk5_0,esk3_3(X1,esk5_0,esk4_0))
| minsol_model_ub(X1,esk5_0,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
( ~ minsol_model_ub(esk4_0,esk5_0,esk4_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk4_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_184]),c_0_184]) ).
cnf(c_0_187,plain,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk4_0))
| minsol_model_ub(esk4_0,esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_75]) ).
cnf(c_0_188,negated_conjecture,
( model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk4_0))
| ~ minsol_model_max(esk4_0,esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_189,plain,
( minsol_model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_62]) ).
cnf(c_0_190,plain,
model_ub(esk4_0,esk5_0,esk3_3(esk4_0,esk5_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_179])]) ).
cnf(c_0_191,plain,
lesseq(esk4_0,esk3_3(esk4_0,esk5_0,esk4_0)),
inference(spm,[status(thm)],[c_0_109,c_0_190]) ).
cnf(c_0_192,plain,
( minsol_model_ub(esk4_0,esk5_0,esk4_0)
| ~ model_ub(esk4_0,esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_191]) ).
cnf(c_0_193,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,esk4_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_192]) ).
cnf(c_0_194,plain,
~ model_ub(esk4_0,esk5_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_189]),c_0_179])]) ).
cnf(c_0_195,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_165]),c_0_179]),c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM859+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 : n008.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 : Tue Jul 5 13:21:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 19.42/3.84 # ENIGMATIC: Solved by autoschedule:
% 19.42/3.84 # No SInE strategy applied
% 19.42/3.84 # Trying AutoSched0 for 150 seconds
% 19.42/3.84 # AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 19.42/3.84 # and selection function SelectMaxLComplexAvoidPosPred.
% 19.42/3.84 #
% 19.42/3.84 # Preprocessing time : 0.025 s
% 19.42/3.84 # Presaturation interreduction done
% 19.42/3.84
% 19.42/3.84 # Proof found!
% 19.42/3.84 # SZS status Theorem
% 19.42/3.84 # SZS output start CNFRefutation
% See solution above
% 19.42/3.84 # Training examples: 0 positive, 0 negative
% 19.42/3.84
% 19.42/3.84 # -------------------------------------------------
% 19.42/3.84 # User time : 1.486 s
% 19.42/3.84 # System time : 0.047 s
% 19.42/3.84 # Total time : 1.533 s
% 19.42/3.84 # Maximum resident set size: 7116 pages
% 19.42/3.84
%------------------------------------------------------------------------------