%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM860+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:40:42 EDT 2022
% Result : Theorem 25.45s 4.57s
% Output : CNFRefutation 25.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of clauses : 132 ( 9 unt; 17 nHn; 125 RR)
% Number of literals : 337 ( 13 equ; 196 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 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 : 305 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_7) ).
cnf(i_0_15,plain,
( lesseq(summation(max(X1,X2)),X3)
| ~ model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_15) ).
cnf(i_0_16,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X4)
| ~ lesseq(summation(X4),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_16) ).
cnf(i_0_10,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_10) ).
cnf(i_0_14,plain,
( model_max(X1,X2,X3)
| ~ lesseq(summation(max(X1,X2)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_14) ).
cnf(i_0_1,plain,
lesseq(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_1) ).
cnf(i_0_11,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_11) ).
cnf(i_0_17,plain,
( lesseq(summation(esk1_3(X1,X2,X3)),X3)
| ~ model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_17) ).
cnf(i_0_12,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/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/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_18) ).
cnf(i_0_2,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_2) ).
cnf(i_0_26,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/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/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_27) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_3) ).
cnf(i_0_8,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_8) ).
cnf(i_0_13,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_13) ).
cnf(i_0_9,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_9) ).
cnf(i_0_22,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_22) ).
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-fzj7yegi/input.p',i_0_21) ).
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-fzj7yegi/input.p',i_0_25) ).
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-fzj7yegi/input.p',i_0_24) ).
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-fzj7yegi/input.p',i_0_19) ).
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-fzj7yegi/input.p',i_0_23) ).
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-fzj7yegi/input.p',i_0_20) ).
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-fzj7yegi/input.p',i_0_28) ).
cnf(i_0_4,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzj7yegi/input.p',i_0_4) ).
cnf(c_0_55,plain,
( lesseq(X1,X2)
| ~ lesseq(summation(X1),summation(X2)) ),
i_0_7 ).
cnf(c_0_56,plain,
( lesseq(summation(max(X1,X2)),X3)
| ~ model_max(X1,X2,X3) ),
i_0_15 ).
cnf(c_0_57,plain,
( model_ub(X1,X2,X3)
| ~ ub(X1,X2,X4)
| ~ lesseq(summation(X4),X3) ),
i_0_16 ).
cnf(c_0_58,plain,
( lesseq(max(X1,X2),X3)
| ~ model_max(X1,X2,summation(X3)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( max(X1,X2) = X2
| ~ lesseq(X1,X2) ),
i_0_10 ).
cnf(c_0_60,plain,
( model_max(X1,X2,X3)
| ~ lesseq(summation(max(X1,X2)),X3) ),
i_0_14 ).
cnf(c_0_61,plain,
lesseq(X1,X1),
i_0_1 ).
cnf(c_0_62,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X5,X3)
| ~ ub(X1,X2,max(X4,X5)) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_63,plain,
( ub(X1,X2,X3)
| ~ lesseq(X2,X3)
| ~ lesseq(X1,X3) ),
i_0_11 ).
cnf(c_0_64,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X1,summation(X2))
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
model_max(X1,X2,summation(max(X1,X2))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( lesseq(summation(esk1_3(X1,X2,X3)),X3)
| ~ model_ub(X1,X2,X3) ),
i_0_17 ).
cnf(c_0_67,plain,
( lesseq(X1,X2)
| ~ ub(X3,X1,X2) ),
i_0_12 ).
cnf(c_0_68,plain,
( ub(X1,X2,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
i_0_18 ).
cnf(c_0_69,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_62,c_0_63]) ).
cnf(c_0_70,plain,
( lesseq(X1,max(X2,X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X5,X3)
| ~ ub(X1,X2,esk1_3(X4,X5,X3)) ),
inference(spm,[status(thm)],[c_0_57,c_0_66]) ).
cnf(c_0_72,plain,
( lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X1,X3) ),
i_0_2 ).
cnf(c_0_73,plain,
( lesseq(X1,esk1_3(X2,X1,X3))
| ~ model_ub(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69,c_0_70]) ).
cnf(c_0_75,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X5,X3)
| ~ lesseq(X2,esk1_3(X4,X5,X3))
| ~ lesseq(X1,esk1_3(X4,X5,X3)) ),
inference(spm,[status(thm)],[c_0_71,c_0_63]) ).
cnf(c_0_76,plain,
( lesseq(X1,esk1_3(X2,X3,X4))
| ~ model_ub(X2,X3,X4)
| ~ lesseq(X1,X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,plain,
( model_ub(X1,X1,X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_70]) ).
cnf(c_0_78,plain,
( model_max(X1,X2,summation(X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_79,plain,
( model_ub(X1,X2,X3)
| ~ minsol_model_ub(X1,X2,X3) ),
i_0_26 ).
cnf(c_0_80,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_81,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X5,X3)
| ~ lesseq(X1,esk1_3(X4,X5,X3))
| ~ lesseq(X2,X5) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
( model_ub(X1,X1,summation(X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
( X1 = X2
| ~ lesseq(X2,X1)
| ~ lesseq(X1,X2) ),
i_0_3 ).
cnf(c_0_84,plain,
( lesseq(summation(X1),summation(X2))
| ~ lesseq(X1,X2) ),
i_0_8 ).
cnf(c_0_85,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,summation(esk1_3(X3,X4,X2))) ),
inference(spm,[status(thm)],[c_0_72,c_0_66]) ).
cnf(c_0_86,plain,
( lesseq(X1,X2)
| ~ ub(X1,X3,X2) ),
i_0_13 ).
cnf(c_0_87,plain,
( max(X1,X2) = X1
| ~ lesseq(X2,X1) ),
i_0_9 ).
cnf(c_0_88,plain,
( model_max(X1,X2,X3)
| ~ minsol_model_max(X1,X2,X3) ),
i_0_22 ).
cnf(c_0_89,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_79,c_0_80]) ).
cnf(c_0_90,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_73]) ).
cnf(c_0_91,plain,
model_ub(X1,X1,summation(X1)),
inference(spm,[status(thm)],[c_0_82,c_0_61]) ).
cnf(c_0_92,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X2,X3)
| ~ lesseq(X1,esk1_3(X4,X2,X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_93,plain,
( X1 = max(X2,X3)
| ~ model_max(X2,X3,summation(X1))
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_83,c_0_58]) ).
cnf(c_0_94,plain,
( model_max(X1,X2,summation(X3))
| ~ lesseq(max(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_84]) ).
cnf(c_0_95,plain,
( lesseq(summation(X1),X2)
| ~ model_ub(X3,X4,X2)
| ~ lesseq(X1,esk1_3(X3,X4,X2)) ),
inference(spm,[status(thm)],[c_0_85,c_0_84]) ).
cnf(c_0_96,plain,
( lesseq(X1,esk1_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_68]) ).
cnf(c_0_97,plain,
( lesseq(summation(X1),X2)
| ~ model_max(X1,X3,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_87]) ).
cnf(c_0_98,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| model_max(esk4_0,esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_99,plain,
( lesseq(X1,X2)
| ~ model_max(X3,X4,X2)
| ~ minsol_model_max(X3,X4,X1) ),
i_0_21 ).
cnf(c_0_100,plain,
( model_max(X1,X2,X3)
| ~ lesseq(summation(X1),X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_87]) ).
cnf(c_0_101,plain,
( lesseq(X1,X2)
| ~ model_ub(X3,X4,X2)
| ~ minsol_model_ub(X3,X4,X1) ),
i_0_25 ).
cnf(c_0_102,plain,
( model_ub(X1,X2,summation(X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_103,plain,
( model_ub(X1,X2,X3)
| ~ model_ub(X4,X2,X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_76]) ).
cnf(c_0_104,plain,
( X1 = X2
| ~ model_max(X3,X2,summation(X1))
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_59]) ).
cnf(c_0_105,plain,
( model_max(X1,X2,summation(X3))
| ~ lesseq(X1,X3)
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_87]) ).
cnf(c_0_106,plain,
( lesseq(summation(X1),X2)
| ~ model_ub(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_107,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(summation(esk4_0),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_108,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X3,X4,X1)
| ~ lesseq(summation(X3),X2)
| ~ lesseq(X4,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,plain,
( lesseq(X1,summation(X2))
| ~ minsol_model_ub(X2,X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
( lesseq(summation(X1),X2)
| ~ model_max(X3,X1,X2)
| ~ lesseq(X3,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_111,plain,
( model_max(X1,X2,X3)
| ~ lesseq(summation(X2),X3)
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_112,plain,
( model_ub(X1,X2,summation(X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_91]) ).
cnf(c_0_113,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_114,plain,
( X1 = X2
| ~ lesseq(X1,X2)
| ~ lesseq(X3,X2)
| ~ lesseq(X3,X1)
| ~ lesseq(X2,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,plain,
( lesseq(summation(esk4_0),esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,plain,
( lesseq(X1,summation(X2))
| ~ minsol_model_max(X2,X3,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_61]) ).
cnf(c_0_117,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,summation(esk4_0))
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_80]) ).
cnf(c_0_118,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_119,plain,
( lesseq(summation(X1),X2)
| ~ model_ub(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_73]) ).
cnf(c_0_120,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| lesseq(summation(esk5_0),esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_98]) ).
cnf(c_0_121,plain,
( lesseq(X1,X2)
| ~ minsol_model_max(X3,X4,X1)
| ~ lesseq(summation(X4),X2)
| ~ lesseq(X3,X4) ),
inference(spm,[status(thm)],[c_0_99,c_0_111]) ).
cnf(c_0_122,plain,
( lesseq(X1,summation(X2))
| ~ minsol_model_ub(X3,X2,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_112]) ).
cnf(c_0_123,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_124,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(summation(X1),esk3_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_113]) ).
cnf(c_0_125,plain,
( summation(esk4_0) = esk6_0
| ~ lesseq(X1,summation(esk4_0))
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk6_0)
| ~ lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_126,plain,
( lesseq(esk6_0,summation(esk4_0))
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_127,plain,
( minsol_model_max(X1,X2,summation(max(X3,X4)))
| ~ model_max(X3,X4,esk2_3(X1,X2,summation(max(X3,X4))))
| ~ model_max(X1,X2,summation(max(X3,X4))) ),
inference(spm,[status(thm)],[c_0_118,c_0_56]) ).
cnf(c_0_128,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_129,plain,
( lesseq(summation(esk5_0),esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_130,plain,
( lesseq(X1,summation(X2))
| ~ minsol_model_max(X3,X2,X1)
| ~ lesseq(X3,X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_61]) ).
cnf(c_0_131,negated_conjecture,
( minsol_model_max(esk4_0,esk5_0,esk6_0)
| lesseq(esk6_0,summation(esk5_0))
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_122,c_0_80]) ).
cnf(c_0_132,plain,
( minsol_model_ub(X1,X2,summation(X1))
| ~ model_ub(X1,X2,summation(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_133,plain,
( summation(esk4_0) = esk6_0
| ~ lesseq(esk5_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_61])]) ).
cnf(c_0_134,plain,
minsol_model_max(X1,X2,summation(max(X1,X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_65])]) ).
cnf(c_0_135,plain,
( minsol_model_ub(X1,X2,X3)
| lesseq(summation(X2),esk3_3(X1,X2,X3))
| ~ model_ub(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_113]) ).
cnf(c_0_136,plain,
( summation(esk5_0) = esk6_0
| ~ lesseq(X1,summation(esk5_0))
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk6_0)
| ~ lesseq(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_129]) ).
cnf(c_0_137,plain,
( lesseq(esk6_0,summation(esk5_0))
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,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_139,plain,
( minsol_model_ub(esk4_0,X1,esk6_0)
| ~ model_ub(esk4_0,X1,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_140,plain,
( minsol_model_max(X1,X2,summation(X1))
| ~ lesseq(X2,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_87]) ).
cnf(c_0_141,plain,
( minsol_model_ub(X1,X2,summation(X2))
| ~ model_ub(X1,X2,summation(X2)) ),
inference(spm,[status(thm)],[c_0_123,c_0_135]) ).
cnf(c_0_142,plain,
( summation(esk5_0) = esk6_0
| ~ lesseq(esk4_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_61])]) ).
cnf(c_0_143,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_144,plain,
( minsol_model_max(esk4_0,X1,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_140,c_0_133]) ).
cnf(c_0_145,plain,
( minsol_model_ub(X1,esk5_0,esk6_0)
| ~ model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_146,plain,
( minsol_model_max(X1,X2,summation(X2))
| ~ lesseq(X1,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_59]) ).
cnf(c_0_147,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk5_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,plain,
( model_ub(esk4_0,X1,esk6_0)
| ~ lesseq(esk5_0,esk4_0)
| ~ lesseq(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_133]) ).
cnf(c_0_149,plain,
( model_ub(X1,max(X2,X3),X4)
| ~ model_max(X2,X3,X4)
| ~ lesseq(X1,max(X2,X3)) ),
inference(spm,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_150,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ minsol_model_max(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_145]) ).
cnf(c_0_151,plain,
( minsol_model_max(X1,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_142]) ).
cnf(c_0_152,negated_conjecture,
~ lesseq(esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_153,plain,
( lesseq(X1,X2)
| lesseq(X2,X1) ),
i_0_4 ).
cnf(c_0_154,plain,
( model_ub(X1,X2,X3)
| ~ model_max(X4,X2,X3)
| ~ lesseq(X1,X2)
| ~ lesseq(X4,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_59]) ).
cnf(c_0_155,negated_conjecture,
( ~ model_ub(esk4_0,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_156,plain,
lesseq(esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_157,plain,
( model_ub(esk4_0,esk5_0,esk6_0)
| model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(esk4_0,esk5_0)
| ~ lesseq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_98]) ).
cnf(c_0_158,negated_conjecture,
~ model_ub(esk4_0,esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_159,plain,
( model_ub(X1,esk5_0,esk6_0)
| ~ lesseq(X1,esk5_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_156])]),c_0_158]) ).
cnf(c_0_160,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_156])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM860+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n007.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 : Thu Jul 7 02:04:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 25.45/4.57 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 25.45/4.57 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 25.45/4.57 # Preprocessing time : 1.188 s
% 25.45/4.57 # Presaturation interreduction done
% 25.45/4.57
% 25.45/4.57 # Proof found!
% 25.45/4.57 # SZS status Theorem
% 25.45/4.57 # SZS output start CNFRefutation
% See solution above
% 25.45/4.57 # Training examples: 0 positive, 0 negative
% 25.45/4.57
% 25.45/4.57 # -------------------------------------------------
% 25.45/4.57 # User time : 2.022 s
% 25.45/4.57 # System time : 0.159 s
% 25.45/4.57 # Total time : 2.181 s
% 25.45/4.57 # ...preprocessing : 1.188 s
% 25.45/4.57 # ...main loop : 0.993 s
% 25.45/4.57 # Maximum resident set size: 188676 pages
% 25.45/4.57
%------------------------------------------------------------------------------