TSTP Solution File: SWV492+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV492+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : Wed Jul 20 17:47:46 EDT 2022
% Result : Theorem 19.64s 3.83s
% Output : CNFRefutation 19.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of clauses : 143 ( 16 unt; 68 nHn; 134 RR)
% Number of literals : 370 ( 95 equ; 160 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 138 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( int_leq(plus(X1,X2),plus(X3,X4))
| ~ int_leq(X2,X4)
| ~ int_less(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_10) ).
cnf(i_0_8,plain,
plus(X1,X2) = plus(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_8) ).
cnf(i_0_34,plain,
( a(X1,plus(X1,X2)) = real_zero
| X3 != plus(X4,X2)
| ~ int_leq(X1,X4)
| ~ epred1_2(X4,X3)
| ~ int_leq(int_one,X1)
| ~ int_less(int_zero,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_34) ).
cnf(i_0_13,plain,
( plus(X1,esk1_2(X1,X2)) = X2
| ~ int_less(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_13) ).
cnf(i_0_12,plain,
( int_less(int_zero,esk1_2(X1,X2))
| ~ int_less(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_12) ).
cnf(i_0_1,plain,
( int_leq(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_1) ).
cnf(i_0_9,plain,
plus(X1,int_zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_9) ).
cnf(i_0_4,plain,
( int_less(X1,X2)
| ~ int_less(X3,X2)
| ~ int_less(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_4) ).
cnf(i_0_3,plain,
( X1 = X2
| int_less(X1,X2)
| ~ int_leq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_3) ).
cnf(i_0_23,negated_conjecture,
( esk4_0 = esk5_0
| int_leq(esk3_0,n) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_23) ).
cnf(i_0_17,hypothesis,
( epred1_2(X1,X2)
| ~ int_leq(X2,n)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(int_one,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_17) ).
cnf(i_0_2,plain,
( int_leq(X1,X2)
| ~ int_less(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_2) ).
cnf(i_0_28,negated_conjecture,
( int_leq(esk5_0,n)
| int_less(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_28) ).
cnf(i_0_29,negated_conjecture,
( int_leq(int_one,esk4_0)
| int_less(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_29) ).
cnf(i_0_19,negated_conjecture,
( esk4_0 = esk5_0
| a(esk2_0,esk3_0) != real_zero ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_19) ).
cnf(i_0_27,negated_conjecture,
( esk4_0 = esk5_0
| int_less(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_27) ).
cnf(i_0_31,negated_conjecture,
( esk4_0 = esk5_0
| int_leq(int_one,esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_31) ).
cnf(i_0_15,plain,
( int_leq(int_one,X1)
| ~ int_less(int_zero,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_15) ).
cnf(i_0_35,plain,
( a(X1,X1) = real_one
| ~ int_leq(X1,X2)
| ~ epred1_2(X3,X2)
| ~ int_leq(int_one,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_35) ).
cnf(i_0_14,plain,
( int_less(int_zero,X1)
| ~ int_leq(int_one,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_14) ).
cnf(i_0_32,negated_conjecture,
( int_leq(int_one,esk2_0)
| int_leq(esk5_0,n) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_32) ).
cnf(i_0_33,negated_conjecture,
( int_leq(int_one,esk2_0)
| int_leq(int_one,esk4_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_33) ).
cnf(i_0_24,negated_conjecture,
( int_leq(esk3_0,n)
| int_leq(esk5_0,n) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_24) ).
cnf(i_0_25,negated_conjecture,
( int_leq(int_one,esk4_0)
| int_leq(esk3_0,n) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_25) ).
cnf(i_0_30,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_leq(int_one,esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_30) ).
cnf(i_0_26,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_less(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_26) ).
cnf(i_0_20,negated_conjecture,
( int_leq(esk5_0,n)
| a(esk2_0,esk3_0) != real_zero ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_20) ).
cnf(i_0_21,negated_conjecture,
( int_leq(int_one,esk4_0)
| a(esk2_0,esk3_0) != real_zero ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_21) ).
cnf(i_0_16,plain,
real_one != real_zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_16) ).
cnf(i_0_11,plain,
( int_less(X1,X2)
| plus(X1,X3) != X2
| ~ int_less(int_zero,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_11) ).
cnf(i_0_18,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| a(esk2_0,esk3_0) != real_zero ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_18) ).
cnf(i_0_22,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_leq(esk3_0,n) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_22) ).
cnf(i_0_5,plain,
( X1 != X2
| ~ int_less(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_5) ).
cnf(i_0_6,plain,
( int_leq(X1,X2)
| int_less(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-91yt0tpm/input.p',i_0_6) ).
cnf(c_0_70,plain,
( int_leq(plus(X1,X2),plus(X3,X4))
| ~ int_leq(X2,X4)
| ~ int_less(X1,X3) ),
i_0_10 ).
cnf(c_0_71,plain,
plus(X1,X2) = plus(X2,X1),
i_0_8 ).
cnf(c_0_72,plain,
( a(X1,plus(X1,X2)) = real_zero
| X3 != plus(X4,X2)
| ~ int_leq(X1,X4)
| ~ epred1_2(X4,X3)
| ~ int_leq(int_one,X1)
| ~ int_less(int_zero,X2) ),
i_0_34 ).
cnf(c_0_73,plain,
( plus(X1,esk1_2(X1,X2)) = X2
| ~ int_less(X1,X2) ),
i_0_13 ).
cnf(c_0_74,plain,
( int_less(int_zero,esk1_2(X1,X2))
| ~ int_less(X1,X2) ),
i_0_12 ).
cnf(c_0_75,plain,
( int_leq(X1,X2)
| X1 != X2 ),
i_0_1 ).
cnf(c_0_76,plain,
( int_leq(plus(X1,X2),plus(X3,X4))
| ~ int_leq(X2,X3)
| ~ int_less(X1,X4) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,plain,
plus(X1,int_zero) = X1,
i_0_9 ).
cnf(c_0_78,plain,
( int_less(X1,X2)
| ~ int_less(X3,X2)
| ~ int_less(X1,X3) ),
i_0_4 ).
cnf(c_0_79,plain,
( X1 = X2
| int_less(X1,X2)
| ~ int_leq(X1,X2) ),
i_0_3 ).
cnf(c_0_80,plain,
( a(X1,plus(X1,esk1_2(X2,X3))) = real_zero
| ~ epred1_2(X2,X3)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,X2)
| ~ int_less(X2,X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73])]),c_0_74]) ).
cnf(c_0_81,plain,
int_leq(X1,X1),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
( int_leq(plus(X1,X2),X3)
| ~ int_leq(X2,X4)
| ~ int_less(X1,esk1_2(X4,X3))
| ~ int_less(X4,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_73]) ).
cnf(c_0_83,plain,
plus(int_zero,X1) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_71]) ).
cnf(c_0_84,plain,
( X1 = X2
| int_less(X3,X2)
| ~ int_leq(X1,X2)
| ~ int_less(X3,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,negated_conjecture,
( esk4_0 = esk5_0
| int_leq(esk3_0,n) ),
i_0_23 ).
cnf(c_0_86,plain,
( a(X1,X2) = real_zero
| ~ epred1_2(X1,X2)
| ~ int_leq(int_one,X1)
| ~ int_less(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_73]),c_0_81])]) ).
cnf(c_0_87,hypothesis,
( epred1_2(X1,X2)
| ~ int_leq(X2,n)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(int_one,X1) ),
i_0_17 ).
cnf(c_0_88,plain,
( int_leq(X1,X2)
| ~ int_leq(X1,X3)
| ~ int_less(X3,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_74]),c_0_83]) ).
cnf(c_0_89,plain,
( int_leq(X1,X2)
| ~ int_less(X1,X2) ),
i_0_2 ).
cnf(c_0_90,negated_conjecture,
( esk4_0 = esk5_0
| n = esk3_0
| int_less(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( int_leq(esk5_0,n)
| int_less(esk2_0,esk3_0) ),
i_0_28 ).
cnf(c_0_92,negated_conjecture,
( int_leq(int_one,esk4_0)
| int_less(esk2_0,esk3_0) ),
i_0_29 ).
cnf(c_0_93,negated_conjecture,
( esk4_0 = esk5_0
| a(esk2_0,esk3_0) != real_zero ),
i_0_19 ).
cnf(c_0_94,hypothesis,
( a(X1,X2) = real_zero
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(X1,n)
| ~ int_less(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_95,negated_conjecture,
( esk4_0 = esk5_0
| int_less(esk2_0,esk3_0) ),
i_0_27 ).
cnf(c_0_96,negated_conjecture,
( esk4_0 = esk5_0
| int_leq(int_one,esk2_0) ),
i_0_31 ).
cnf(c_0_97,plain,
( n = esk3_0
| esk4_0 = esk5_0
| int_leq(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_98,plain,
( int_leq(int_one,X1)
| ~ int_less(int_zero,X1) ),
i_0_15 ).
cnf(c_0_99,negated_conjecture,
( int_leq(esk5_0,n)
| int_less(X1,esk3_0)
| ~ int_less(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_91]) ).
cnf(c_0_100,negated_conjecture,
( int_leq(int_one,esk4_0)
| int_less(X1,esk3_0)
| ~ int_less(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( esk4_0 = esk5_0
| ~ int_leq(esk2_0,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_85]),c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( esk4_0 = esk5_0
| n = esk3_0
| int_leq(esk2_0,n) ),
inference(spm,[status(thm)],[c_0_97,c_0_95]) ).
cnf(c_0_103,plain,
( a(X1,X1) = real_one
| ~ int_leq(X1,X2)
| ~ epred1_2(X3,X2)
| ~ int_leq(int_one,X1) ),
i_0_35 ).
cnf(c_0_104,plain,
( int_leq(esk5_0,n)
| int_leq(int_one,esk3_0)
| ~ int_less(int_zero,esk2_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_105,plain,
( int_less(int_zero,X1)
| ~ int_leq(int_one,X1) ),
i_0_14 ).
cnf(c_0_106,negated_conjecture,
( int_leq(int_one,esk2_0)
| int_leq(esk5_0,n) ),
i_0_32 ).
cnf(c_0_107,plain,
( int_leq(int_one,esk4_0)
| int_leq(int_one,esk3_0)
| ~ int_less(int_zero,esk2_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( int_leq(int_one,esk2_0)
| int_leq(int_one,esk4_0) ),
i_0_33 ).
cnf(c_0_109,negated_conjecture,
( n = esk3_0
| esk4_0 = esk5_0 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
( esk4_0 = esk5_0
| int_leq(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_95]) ).
cnf(c_0_111,negated_conjecture,
( int_leq(esk3_0,n)
| int_leq(esk5_0,n) ),
i_0_24 ).
cnf(c_0_112,plain,
( a(X1,X1) = real_one
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(X3,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(int_one,X3)
| ~ int_leq(X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_87]) ).
cnf(c_0_113,negated_conjecture,
( int_leq(int_one,esk4_0)
| int_leq(esk3_0,n) ),
i_0_25 ).
cnf(c_0_114,plain,
( int_leq(int_one,esk3_0)
| int_leq(esk5_0,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).
cnf(c_0_115,plain,
( int_leq(int_one,esk3_0)
| int_leq(int_one,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_105]),c_0_108]) ).
cnf(c_0_116,negated_conjecture,
esk4_0 = esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_109]),c_0_110]) ).
cnf(c_0_117,negated_conjecture,
( n = esk3_0
| int_leq(esk5_0,n)
| int_less(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( a(X1,X1) = real_one
| int_leq(int_one,esk2_0)
| ~ int_leq(int_one,esk5_0)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_106]) ).
cnf(c_0_119,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_leq(int_one,esk2_0) ),
i_0_30 ).
cnf(c_0_120,negated_conjecture,
( n = esk3_0
| int_leq(int_one,esk4_0)
| int_less(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_113]) ).
cnf(c_0_121,plain,
( a(X1,X1) = real_one
| int_leq(int_one,esk3_0)
| ~ int_leq(int_one,esk5_0)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_114]) ).
cnf(c_0_122,plain,
( int_leq(int_one,esk5_0)
| int_leq(int_one,esk3_0) ),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_less(esk2_0,esk3_0) ),
i_0_26 ).
cnf(c_0_124,negated_conjecture,
( int_leq(esk5_0,n)
| a(esk2_0,esk3_0) != real_zero ),
i_0_20 ).
cnf(c_0_125,plain,
( n = esk3_0
| int_leq(esk5_0,n)
| int_leq(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
( int_leq(int_one,esk4_0)
| a(esk2_0,esk3_0) != real_zero ),
i_0_21 ).
cnf(c_0_127,negated_conjecture,
( a(X1,X1) = real_one
| int_leq(int_one,esk2_0)
| ~ int_leq(int_one,esk5_0)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_118,c_0_106]) ).
cnf(c_0_128,negated_conjecture,
( a(esk5_0,esk5_0) = real_zero
| int_leq(int_one,esk2_0) ),
inference(rw,[status(thm)],[c_0_119,c_0_116]) ).
cnf(c_0_129,plain,
real_one != real_zero,
i_0_16 ).
cnf(c_0_130,negated_conjecture,
( int_leq(int_one,esk5_0)
| int_leq(int_one,esk2_0) ),
inference(rw,[status(thm)],[c_0_108,c_0_116]) ).
cnf(c_0_131,plain,
( n = esk3_0
| int_leq(int_one,esk4_0)
| int_leq(X1,n)
| ~ int_less(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_120]) ).
cnf(c_0_132,plain,
( a(X1,X1) = real_one
| ~ int_leq(int_one,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(X1,n) ),
inference(spm,[status(thm)],[c_0_112,c_0_81]) ).
cnf(c_0_133,plain,
( int_less(X1,X2)
| plus(X1,X3) != X2
| ~ int_less(int_zero,X3) ),
i_0_11 ).
cnf(c_0_134,plain,
( a(X1,X1) = real_one
| int_leq(int_one,esk3_0)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_114]),c_0_122]) ).
cnf(c_0_135,negated_conjecture,
( a(esk5_0,esk5_0) = real_zero
| int_less(esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_123,c_0_116]) ).
cnf(c_0_136,negated_conjecture,
( int_leq(esk5_0,n)
| ~ int_leq(esk2_0,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_94]),c_0_91]),c_0_111]),c_0_106]) ).
cnf(c_0_137,negated_conjecture,
( n = esk3_0
| int_leq(esk2_0,n)
| int_leq(esk5_0,n) ),
inference(spm,[status(thm)],[c_0_125,c_0_91]) ).
cnf(c_0_138,negated_conjecture,
( int_leq(int_one,esk5_0)
| a(esk2_0,esk3_0) != real_zero ),
inference(rw,[status(thm)],[c_0_126,c_0_116]) ).
cnf(c_0_139,negated_conjecture,
int_leq(int_one,esk2_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_81])]),c_0_129]),c_0_130]) ).
cnf(c_0_140,negated_conjecture,
( int_leq(int_one,esk5_0)
| int_less(esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_92,c_0_116]) ).
cnf(c_0_141,negated_conjecture,
( int_leq(int_one,esk5_0)
| int_leq(esk3_0,n) ),
inference(rw,[status(thm)],[c_0_113,c_0_116]) ).
cnf(c_0_142,negated_conjecture,
( n = esk3_0
| int_leq(esk2_0,n)
| int_leq(int_one,esk4_0) ),
inference(spm,[status(thm)],[c_0_131,c_0_92]) ).
cnf(c_0_143,plain,
( a(X1,X1) = real_one
| ~ int_leq(int_one,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,n) ),
inference(spm,[status(thm)],[c_0_132,c_0_81]) ).
cnf(c_0_144,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| a(esk2_0,esk3_0) != real_zero ),
i_0_18 ).
cnf(c_0_145,negated_conjecture,
( a(esk4_0,esk5_0) = real_zero
| int_leq(esk3_0,n) ),
i_0_22 ).
cnf(c_0_146,plain,
( X1 != X2
| ~ int_less(X1,X2) ),
i_0_5 ).
cnf(c_0_147,plain,
( int_less(X1,plus(X1,X2))
| ~ int_less(int_zero,X2) ),
inference(er,[status(thm)],[c_0_133]) ).
cnf(c_0_148,plain,
( int_leq(int_one,esk3_0)
| int_less(esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_81])]),c_0_129]),c_0_122]) ).
cnf(c_0_149,negated_conjecture,
( n = esk3_0
| int_leq(esk5_0,n) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_150,hypothesis,
( int_leq(int_one,esk5_0)
| ~ int_leq(esk2_0,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_94]),c_0_139])]),c_0_140]),c_0_141]) ).
cnf(c_0_151,negated_conjecture,
( n = esk3_0
| int_leq(int_one,esk5_0)
| int_leq(esk2_0,n) ),
inference(rw,[status(thm)],[c_0_142,c_0_116]) ).
cnf(c_0_152,plain,
( int_less(esk2_0,esk3_0)
| ~ int_leq(int_one,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_135]),c_0_129]),c_0_91]),c_0_140]) ).
cnf(c_0_153,negated_conjecture,
( a(esk5_0,esk5_0) = real_zero
| a(esk2_0,esk3_0) != real_zero ),
inference(rw,[status(thm)],[c_0_144,c_0_116]) ).
cnf(c_0_154,negated_conjecture,
( a(esk5_0,esk5_0) = real_zero
| int_leq(esk3_0,n) ),
inference(rw,[status(thm)],[c_0_145,c_0_116]) ).
cnf(c_0_155,plain,
~ int_less(X1,X1),
inference(er,[status(thm)],[c_0_146]) ).
cnf(c_0_156,plain,
( int_less(X1,plus(X2,X3))
| ~ int_less(int_zero,X3)
| ~ int_less(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_147]) ).
cnf(c_0_157,plain,
( int_leq(int_one,esk3_0)
| int_leq(X1,esk3_0)
| ~ int_leq(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_148]) ).
cnf(c_0_158,plain,
( a(X1,X1) = real_one
| n = esk3_0
| ~ int_leq(int_one,esk5_0)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,n)
| ~ int_leq(int_one,X2)
| ~ int_leq(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_149]) ).
cnf(c_0_159,negated_conjecture,
( n = esk3_0
| int_leq(int_one,esk5_0) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_160,plain,
( X1 = X2
| int_leq(X3,X2)
| ~ int_leq(X3,X1)
| ~ int_leq(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_79]) ).
cnf(c_0_161,plain,
( int_leq(esk2_0,esk3_0)
| ~ int_leq(int_one,n) ),
inference(spm,[status(thm)],[c_0_89,c_0_152]) ).
cnf(c_0_162,hypothesis,
( a(esk5_0,esk5_0) = real_zero
| ~ int_leq(esk2_0,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_94]),c_0_139])]),c_0_135]),c_0_154]) ).
cnf(c_0_163,plain,
( ~ int_less(plus(X1,X2),X1)
| ~ int_less(int_zero,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_164,negated_conjecture,
int_leq(int_one,esk3_0),
inference(spm,[status(thm)],[c_0_157,c_0_139]) ).
cnf(c_0_165,negated_conjecture,
( a(X1,X1) = real_one
| n = esk3_0
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_149]),c_0_159]) ).
cnf(c_0_166,plain,
( esk3_0 = X1
| int_leq(esk2_0,X1)
| ~ int_leq(int_one,n)
| ~ int_leq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,plain,
( int_leq(esk3_0,n)
| ~ int_leq(int_one,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_154]),c_0_129]),c_0_111]),c_0_141]) ).
cnf(c_0_168,plain,
( ~ int_leq(int_one,n)
| ~ int_leq(esk2_0,n) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_162]),c_0_129]),c_0_136]),c_0_150]) ).
cnf(c_0_169,plain,
( ~ int_less(X1,X2)
| ~ int_less(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_73]),c_0_74]) ).
cnf(c_0_170,plain,
( esk3_0 = X1
| int_leq(int_one,X1)
| ~ int_leq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_164]) ).
cnf(c_0_171,negated_conjecture,
( n = esk3_0
| int_leq(esk3_0,n) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_165]),c_0_81])]),c_0_129]),c_0_159]) ).
cnf(c_0_172,plain,
( n = esk3_0
| ~ int_leq(int_one,n) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_173,plain,
( ~ int_leq(int_one,n)
| ~ int_less(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_152]) ).
cnf(c_0_174,negated_conjecture,
n = esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_175,plain,
~ int_less(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174]),c_0_164])]) ).
cnf(c_0_176,plain,
( int_leq(X1,X2)
| int_less(X2,X1) ),
i_0_6 ).
cnf(c_0_177,plain,
~ int_leq(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_174]),c_0_164]),c_0_174])]) ).
cnf(c_0_178,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV492+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.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 Jun 16 03:46:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 19.64/3.83 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 19.64/3.83 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 19.64/3.83 # Preprocessing time : 1.131 s
% 19.64/3.83
% 19.64/3.83 # Proof found!
% 19.64/3.83 # SZS status Theorem
% 19.64/3.83 # SZS output start CNFRefutation
% See solution above
% 19.64/3.83 # Training examples: 0 positive, 0 negative
% 19.64/3.83
% 19.64/3.83 # -------------------------------------------------
% 19.64/3.83 # User time : 1.339 s
% 19.64/3.83 # System time : 0.133 s
% 19.64/3.83 # Total time : 1.472 s
% 19.64/3.83 # ...preprocessing : 1.131 s
% 19.64/3.83 # ...main loop : 0.341 s
% 19.64/3.83 # Maximum resident set size: 176848 pages
% 19.64/3.83
%------------------------------------------------------------------------------