TSTP Solution File: NUM858+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM858+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 9.20s 2.56s
% Output : CNFRefutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 22
% Syntax : Number of clauses : 135 ( 11 unt; 73 nHn; 123 RR)
% Number of literals : 328 ( 75 equ; 105 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 : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 160 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/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-0jay5g59/input.p',i_0_11) ).
cnf(i_0_25,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_25) ).
cnf(i_0_26,negated_conjecture,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_26) ).
cnf(i_0_24,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_24) ).
cnf(i_0_13,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_13) ).
cnf(i_0_17,plain,
( ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_17) ).
cnf(i_0_21,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_21) ).
cnf(i_0_12,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_12) ).
cnf(i_0_4,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_4) ).
cnf(i_0_15,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_15) ).
cnf(i_0_1,plain,
lesseq(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_1) ).
cnf(i_0_9,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_9) ).
cnf(i_0_10,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_10) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_3) ).
cnf(i_0_23,plain,
( minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk2_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_23) ).
cnf(i_0_14,plain,
( model_max(X1,X2,X3)
| X3 != max(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_14) ).
cnf(i_0_19,plain,
( minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk1_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_19) ).
cnf(i_0_27,negated_conjecture,
( ~ minsol_model_max(esk3_0,esk4_0,esk5_0)
| ~ minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_27) ).
cnf(i_0_22,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk2_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_22) ).
cnf(i_0_18,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,esk1_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_18) ).
cnf(i_0_20,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-0jay5g59/input.p',i_0_20) ).
cnf(c_0_50,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X3) ),
i_0_16 ).
cnf(c_0_51,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
i_0_11 ).
cnf(c_0_52,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
i_0_25 ).
cnf(c_0_53,negated_conjecture,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
i_0_26 ).
cnf(c_0_54,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
i_0_24 ).
cnf(c_0_55,plain,
( model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
i_0_13 ).
cnf(c_0_57,plain,
( ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3) ),
i_0_17 ).
cnf(c_0_58,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
i_0_21 ).
cnf(c_0_59,negated_conjecture,
( model_ub(esk3_0,esk4_0,esk5_0)
| minsol_model_max(esk3_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
i_0_12 ).
cnf(c_0_61,plain,
( lesseq(X1,X2)
| ~ minsol_model_ub(X3,X4,X1)
| ~ lesseq(X4,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
( lesseq(X1,X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( model_ub(esk3_0,esk4_0,esk5_0)
| model_max(esk3_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk5_0,X1)
| ~ lesseq(esk4_0,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_53]) ).
cnf(c_0_66,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
i_0_4 ).
cnf(c_0_67,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,X1) ),
i_0_15 ).
cnf(c_0_68,plain,
( model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
lesseq(X1,X1),
i_0_1 ).
cnf(c_0_70,plain,
( model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_71,plain,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| lesseq(X1,esk4_0)
| lesseq(esk5_0,X1)
| ~ lesseq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
i_0_9 ).
cnf(c_0_73,plain,
( max(esk3_0,esk4_0) = esk5_0
| lesseq(esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk5_0,esk4_0)
| ~ lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_75,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
i_0_10 ).
cnf(c_0_76,plain,
( max(esk3_0,esk4_0) = esk5_0
| lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_70]) ).
cnf(c_0_77,plain,
( minsol_model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk5_0,esk3_0)
| lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
cnf(c_0_78,plain,
( esk5_0 = esk3_0
| lesseq(esk3_0,esk5_0)
| ~ lesseq(esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
( model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk5_0,esk4_0)
| ~ lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_74]) ).
cnf(c_0_80,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
i_0_3 ).
cnf(c_0_81,plain,
( esk5_0 = esk4_0
| lesseq(esk4_0,esk5_0)
| ~ lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
( model_max(esk3_0,esk4_0,esk5_0)
| lesseq(esk3_0,esk4_0)
| lesseq(esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_83,plain,
( esk5_0 = esk3_0
| lesseq(esk3_0,esk4_0)
| lesseq(esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_66]) ).
cnf(c_0_84,plain,
( max(esk3_0,esk4_0) = esk5_0
| lesseq(esk5_0,esk4_0)
| ~ lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_79]) ).
cnf(c_0_85,plain,
( esk5_0 = esk4_0
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( max(esk3_0,esk4_0) = esk5_0
| lesseq(esk5_0,esk3_0)
| lesseq(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_82]) ).
cnf(c_0_87,plain,
( esk5_0 = esk3_0
| lesseq(esk3_0,esk4_0)
| ~ lesseq(esk5_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_83]) ).
cnf(c_0_88,plain,
( minsol_model_ub(X1,X2,X3)
| model_ub(X1,X2,esk2_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
i_0_23 ).
cnf(c_0_89,plain,
( model_max(X1,X2,X3)
| X3 != max(X1,X2) ),
i_0_14 ).
cnf(c_0_90,plain,
( esk5_0 = esk4_0
| ~ lesseq(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_84]),c_0_85]) ).
cnf(c_0_91,plain,
( esk5_0 = esk3_0
| lesseq(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_86]),c_0_66]),c_0_87]) ).
cnf(c_0_92,plain,
( model_ub(X1,X2,esk2_3(X1,X2,X3))
| minsol_model_ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_55]) ).
cnf(c_0_93,plain,
( minsol_model_max(X1,X2,X3)
| model_max(X1,X2,esk1_3(X1,X2,X3))
| ~ model_max(X1,X2,X3) ),
i_0_19 ).
cnf(c_0_94,plain,
model_max(X1,X2,max(X1,X2)),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( ~ minsol_model_max(esk3_0,esk4_0,esk5_0)
| ~ minsol_model_ub(esk3_0,esk4_0,esk5_0) ),
i_0_27 ).
cnf(c_0_96,plain,
( esk5_0 = esk3_0
| esk5_0 = esk4_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,plain,
( model_ub(X1,X2,esk2_3(X1,X2,X2))
| minsol_model_ub(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_69]) ).
cnf(c_0_98,plain,
( minsol_model_max(X1,X2,max(X1,X2))
| model_max(X1,X2,esk1_3(X1,X2,max(X1,X2))) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( esk5_0 = esk3_0
| ~ minsol_model_ub(esk3_0,esk4_0,esk4_0)
| ~ minsol_model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,plain,
( esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk4_0))
| minsol_model_ub(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_91]) ).
cnf(c_0_101,plain,
( esk1_3(X1,X2,max(X1,X2)) = max(X1,X2)
| minsol_model_max(X1,X2,max(X1,X2)) ),
inference(spm,[status(thm)],[c_0_67,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk4_0))
| ~ minsol_model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_103,plain,
( esk1_3(X1,X2,X2) = X2
| minsol_model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_75]) ).
cnf(c_0_104,plain,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk4_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_91]) ).
cnf(c_0_105,plain,
( model_max(X1,X2,X2)
| ~ lesseq(X1,X2) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_75])]) ).
cnf(c_0_106,plain,
( minsol_model_ub(X1,X2,X3)
| ~ model_ub(X1,X2,X3)
| ~ lesseq(X3,esk2_3(X1,X2,X3)) ),
i_0_22 ).
cnf(c_0_107,plain,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| esk5_0 = esk3_0
| lesseq(esk4_0,esk2_3(esk3_0,esk4_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_104]) ).
cnf(c_0_108,plain,
( minsol_model_max(X1,X2,X2)
| model_max(X1,X2,esk1_3(X1,X2,X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_105]) ).
cnf(c_0_109,plain,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| esk5_0 = esk3_0
| minsol_model_ub(esk3_0,esk4_0,esk4_0)
| ~ model_ub(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,plain,
( esk5_0 = esk3_0
| minsol_model_max(esk3_0,esk4_0,esk4_0)
| model_max(esk3_0,esk4_0,esk1_3(esk3_0,esk4_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_91]) ).
cnf(c_0_111,negated_conjecture,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| esk5_0 = esk3_0
| ~ model_ub(esk3_0,esk4_0,esk4_0)
| ~ minsol_model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_109]) ).
cnf(c_0_112,plain,
( esk5_0 = esk3_0
| model_max(esk3_0,esk4_0,esk1_3(esk3_0,esk4_0,esk4_0))
| model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_110]) ).
cnf(c_0_113,plain,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| esk5_0 = esk3_0
| ~ model_ub(esk3_0,esk4_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_103]),c_0_62]) ).
cnf(c_0_114,plain,
( esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk4_0)
| model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_96]) ).
cnf(c_0_115,plain,
( minsol_model_max(X1,X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X3,esk1_3(X1,X2,X3)) ),
i_0_18 ).
cnf(c_0_116,plain,
( esk5_0 = esk3_0
| model_max(esk3_0,esk4_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_117,negated_conjecture,
( esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk4_0)
| minsol_model_max(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_96]) ).
cnf(c_0_118,plain,
( esk5_0 = esk3_0
| minsol_model_max(esk3_0,esk4_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_113]),c_0_69])]),c_0_116]),c_0_117]) ).
cnf(c_0_119,negated_conjecture,
( esk5_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_118]) ).
cnf(c_0_120,plain,
( esk5_0 = esk3_0
| lesseq(esk4_0,esk2_3(esk3_0,esk4_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_119]) ).
cnf(c_0_121,plain,
( esk5_0 = esk3_0
| minsol_model_ub(esk3_0,esk4_0,esk4_0)
| ~ model_ub(esk3_0,esk4_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_120]) ).
cnf(c_0_122,negated_conjecture,
( esk5_0 = esk3_0
| ~ model_ub(esk3_0,esk4_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_121]),c_0_118]) ).
cnf(c_0_123,plain,
esk5_0 = esk3_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_55]),c_0_69])]),c_0_91]) ).
cnf(c_0_124,plain,
( model_max(X1,X2,X1)
| ~ lesseq(X2,X1) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_72])]) ).
cnf(c_0_125,plain,
( minsol_model_max(X1,X2,X2)
| model_max(X1,X2,esk1_3(X1,X2,X2))
| lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_66]) ).
cnf(c_0_126,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
i_0_20 ).
cnf(c_0_127,plain,
model_max(esk3_0,esk4_0,esk3_0),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_123]),c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
( esk1_3(X1,X2,X2) = max(X1,X2)
| minsol_model_max(X1,X2,X2)
| lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_125]) ).
cnf(c_0_129,plain,
( esk1_3(X1,X2,X2) = X2
| lesseq(X2,X3)
| ~ model_max(X1,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_103]) ).
cnf(c_0_130,plain,
max(esk3_0,esk4_0) = esk3_0,
inference(spm,[status(thm)],[c_0_67,c_0_127]) ).
cnf(c_0_131,plain,
( esk1_3(X1,X2,X2) = max(X1,X2)
| model_max(X1,X2,X2)
| lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_128]) ).
cnf(c_0_132,plain,
( esk1_3(esk3_0,esk4_0,esk4_0) = esk4_0
| lesseq(esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_127]),c_0_66]) ).
cnf(c_0_133,plain,
( model_max(esk3_0,esk4_0,X1)
| X1 != esk3_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_130]) ).
cnf(c_0_134,plain,
( model_max(esk3_0,esk4_0,esk4_0)
| lesseq(esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_130]),c_0_133]) ).
cnf(c_0_135,plain,
( esk4_0 = esk3_0
| lesseq(esk4_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_134]),c_0_130]) ).
cnf(c_0_136,plain,
( esk4_0 = esk3_0
| model_ub(X1,esk4_0,esk2_3(X1,esk4_0,esk3_0))
| minsol_model_ub(X1,esk4_0,esk3_0)
| ~ lesseq(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_135]) ).
cnf(c_0_137,negated_conjecture,
( ~ minsol_model_ub(esk3_0,esk4_0,esk3_0)
| ~ minsol_model_max(esk3_0,esk4_0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_123]),c_0_123]) ).
cnf(c_0_138,plain,
( esk4_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk3_0))
| minsol_model_ub(esk3_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_69]) ).
cnf(c_0_139,negated_conjecture,
( esk4_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk3_0))
| ~ minsol_model_max(esk3_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_140,plain,
( esk1_3(esk3_0,esk4_0,esk3_0) = esk3_0
| minsol_model_max(esk3_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_130]) ).
cnf(c_0_141,plain,
( esk1_3(esk3_0,esk4_0,esk3_0) = esk3_0
| esk4_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_142,plain,
( esk1_3(esk3_0,esk4_0,esk3_0) = esk3_0
| esk4_0 = esk3_0
| lesseq(esk3_0,esk2_3(esk3_0,esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_141]) ).
cnf(c_0_143,plain,
( esk1_3(esk3_0,esk4_0,esk3_0) = esk3_0
| esk4_0 = esk3_0
| minsol_model_ub(esk3_0,esk4_0,esk3_0)
| ~ model_ub(esk3_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_142]) ).
cnf(c_0_144,negated_conjecture,
( esk1_3(esk3_0,esk4_0,esk3_0) = esk3_0
| esk4_0 = esk3_0
| ~ model_ub(esk3_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_143]),c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( model_ub(esk3_0,esk4_0,esk3_0)
| minsol_model_max(esk3_0,esk4_0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_123]),c_0_123]) ).
cnf(c_0_146,plain,
( esk4_0 = esk3_0
| minsol_model_max(esk3_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_144]),c_0_127]),c_0_69])]),c_0_145]) ).
cnf(c_0_147,negated_conjecture,
( esk4_0 = esk3_0
| model_ub(esk3_0,esk4_0,esk2_3(esk3_0,esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_146]) ).
cnf(c_0_148,plain,
( esk4_0 = esk3_0
| lesseq(esk3_0,esk2_3(esk3_0,esk4_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_147]) ).
cnf(c_0_149,plain,
( esk4_0 = esk3_0
| minsol_model_ub(esk3_0,esk4_0,esk3_0)
| ~ model_ub(esk3_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_148]) ).
cnf(c_0_150,negated_conjecture,
( esk4_0 = esk3_0
| ~ model_ub(esk3_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_149]),c_0_146]) ).
cnf(c_0_151,plain,
( model_ub(X1,X1,esk2_3(X1,X1,X1))
| minsol_model_ub(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_69]) ).
cnf(c_0_152,plain,
esk4_0 = esk3_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_55]),c_0_69])]),c_0_135]) ).
cnf(c_0_153,plain,
( minsol_model_ub(X1,X1,X1)
| lesseq(X1,esk2_3(X1,X1,X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
( ~ minsol_model_ub(esk3_0,esk3_0,esk3_0)
| ~ minsol_model_max(esk3_0,esk3_0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_152]),c_0_152]) ).
cnf(c_0_155,plain,
( minsol_model_ub(X1,X1,X1)
| ~ model_ub(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_153]) ).
cnf(c_0_156,plain,
( ~ model_ub(esk3_0,esk3_0,esk3_0)
| ~ minsol_model_max(esk3_0,esk3_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_157,plain,
( esk1_3(esk3_0,esk3_0,esk3_0) = esk3_0
| ~ model_ub(esk3_0,esk3_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_103]),c_0_69])]) ).
cnf(c_0_158,plain,
model_max(esk3_0,esk3_0,esk3_0),
inference(rw,[status(thm)],[c_0_127,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
( model_ub(esk3_0,esk3_0,esk3_0)
| minsol_model_max(esk3_0,esk3_0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_152]),c_0_152]) ).
cnf(c_0_160,plain,
minsol_model_max(esk3_0,esk3_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_157]),c_0_158]),c_0_69])]),c_0_159]) ).
cnf(c_0_161,plain,
~ model_ub(esk3_0,esk3_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_160])]) ).
cnf(c_0_162,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_55]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 14:25:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 # ENIGMATIC: Selected complete mode:
% 9.20/2.56 # ENIGMATIC: Solved by autoschedule:
% 9.20/2.56 # No SInE strategy applied
% 9.20/2.56 # Trying AutoSched0 for 150 seconds
% 9.20/2.56 # AutoSched0-Mode selected heuristic G_E___107_C36_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 9.20/2.56 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.20/2.56 #
% 9.20/2.56 # Preprocessing time : 0.024 s
% 9.20/2.56 # Presaturation interreduction done
% 9.20/2.56
% 9.20/2.56 # Proof found!
% 9.20/2.56 # SZS status Theorem
% 9.20/2.56 # SZS output start CNFRefutation
% See solution above
% 9.20/2.56 # Training examples: 0 positive, 0 negative
% 9.20/2.56
% 9.20/2.56 # -------------------------------------------------
% 9.20/2.56 # User time : 0.296 s
% 9.20/2.56 # System time : 0.008 s
% 9.20/2.56 # Total time : 0.305 s
% 9.20/2.56 # Maximum resident set size: 7116 pages
% 9.20/2.56
%------------------------------------------------------------------------------