TSTP Solution File: LAT345+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : Sun Jul 17 04:30:02 EDT 2022
% Result : Theorem 8.28s 2.34s
% Output : CNFRefutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of clauses : 122 ( 34 unt; 50 nHn; 122 RR)
% Number of literals : 323 ( 79 equ; 138 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 148 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_99,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_99) ).
cnf(i_0_44,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_44) ).
cnf(i_0_60,plain,
( X1 = X2
| g2_conlat_1(X1,X3,X4) != g2_conlat_1(X2,X5,X6)
| ~ m1_relset_1(X4,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_60) ).
cnf(i_0_14,plain,
( g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) = k7_conlat_2(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_14) ).
cnf(i_0_6,negated_conjecture,
l2_conlat_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
~ v3_conlat_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_8) ).
cnf(i_0_27,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_27) ).
cnf(i_0_28,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_28) ).
cnf(i_0_9,plain,
( g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = X1
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_9) ).
cnf(i_0_59,plain,
( X1 = X2
| g2_conlat_1(X3,X1,X4) != g2_conlat_1(X5,X2,X6)
| ~ m1_relset_1(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_59) ).
cnf(i_0_58,plain,
( X1 = X2
| g2_conlat_1(X3,X4,X1) != g2_conlat_1(X5,X6,X2)
| ~ m1_relset_1(X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_58) ).
cnf(i_0_30,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_30) ).
cnf(i_0_2,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_2) ).
cnf(i_0_97,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_97) ).
cnf(i_0_3,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_4) ).
cnf(i_0_96,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_96) ).
cnf(i_0_17,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_17) ).
cnf(i_0_31,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_31) ).
cnf(i_0_16,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_16) ).
cnf(i_0_33,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_33) ).
cnf(i_0_35,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_35) ).
cnf(i_0_64,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_64) ).
cnf(i_0_12,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_12) ).
cnf(i_0_41,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_41) ).
cnf(i_0_32,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_32) ).
cnf(i_0_10,plain,
( g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) = X2
| ~ l1_conlat_1(X1)
| ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_10) ).
cnf(i_0_29,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_29) ).
cnf(i_0_37,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_37) ).
cnf(i_0_7,negated_conjecture,
v4_conlat_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_7) ).
cnf(i_0_5,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_1) ).
cnf(i_0_34,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-44oh6vvi/lgb.p',i_0_34) ).
cnf(c_0_133,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_99 ).
cnf(c_0_134,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_44 ).
cnf(c_0_135,plain,
( X1 = X2
| g2_conlat_1(X1,X3,X4) != g2_conlat_1(X2,X5,X6)
| ~ m1_relset_1(X4,X1,X3) ),
i_0_60 ).
cnf(c_0_136,plain,
( m1_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) = k7_conlat_2(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
i_0_14 ).
cnf(c_0_138,negated_conjecture,
l2_conlat_1(esk1_0),
i_0_6 ).
cnf(c_0_139,negated_conjecture,
~ v3_conlat_1(esk1_0),
i_0_8 ).
cnf(c_0_140,plain,
( u1_conlat_1(X1) = X2
| g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) != g2_conlat_1(X2,X3,X4)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),k6_relset_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0))) = k7_conlat_2(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_142,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
i_0_27 ).
cnf(c_0_143,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
i_0_28 ).
cnf(c_0_144,negated_conjecture,
( u1_conlat_1(X1) = u2_conlat_1(esk1_0)
| g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) != k7_conlat_2(esk1_0)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_145,plain,
( g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = X1
| ~ v4_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
i_0_9 ).
cnf(c_0_146,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_138]),c_0_139]) ).
cnf(c_0_147,negated_conjecture,
v4_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_138]),c_0_139]) ).
cnf(c_0_148,plain,
( X1 = X2
| g2_conlat_1(X3,X1,X4) != g2_conlat_1(X5,X2,X6)
| ~ m1_relset_1(X4,X3,X1) ),
i_0_59 ).
cnf(c_0_149,plain,
u1_conlat_1(k7_conlat_2(esk1_0)) = u2_conlat_1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145])]),c_0_146]),c_0_147])]) ).
cnf(c_0_150,plain,
( u2_conlat_1(X1) = X2
| g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) != g2_conlat_1(X3,X2,X4)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_136]) ).
cnf(c_0_151,plain,
g2_conlat_1(u2_conlat_1(esk1_0),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_149]),c_0_147]),c_0_146])]) ).
cnf(c_0_152,plain,
( u2_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X2,X1,X3) != k7_conlat_2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_149]),c_0_151]),c_0_146])]) ).
cnf(c_0_153,plain,
( X1 = X2
| g2_conlat_1(X3,X4,X1) != g2_conlat_1(X5,X6,X2)
| ~ m1_relset_1(X1,X3,X4) ),
i_0_58 ).
cnf(c_0_154,negated_conjecture,
u2_conlat_1(k7_conlat_2(esk1_0)) = u1_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_152,c_0_141]) ).
cnf(c_0_155,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_30 ).
cnf(c_0_156,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
i_0_2 ).
cnf(c_0_157,plain,
( k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_97 ).
cnf(c_0_158,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
i_0_3 ).
cnf(c_0_159,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_160,negated_conjecture,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),k6_relset_1(u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0)),u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_137,c_0_146]) ).
cnf(c_0_161,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_96 ).
cnf(c_0_162,plain,
( u3_conlat_1(X1) = X2
| g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) != g2_conlat_1(X3,X4,X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_136]) ).
cnf(c_0_163,plain,
g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),u3_conlat_1(k7_conlat_2(esk1_0))) = k7_conlat_2(esk1_0),
inference(rw,[status(thm)],[c_0_151,c_0_154]) ).
cnf(c_0_164,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1)) ),
i_0_17 ).
cnf(c_0_165,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_31 ).
cnf(c_0_166,negated_conjecture,
l3_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_138])]),c_0_139]) ).
cnf(c_0_167,negated_conjecture,
k8_conlat_2(esk1_0,esk2_0) = k9_conlat_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_156]),c_0_138]),c_0_158])]),c_0_159]),c_0_139]) ).
cnf(c_0_168,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(k7_conlat_2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( u3_conlat_1(k7_conlat_2(esk1_0)) = X1
| g2_conlat_1(X2,X3,X1) != k7_conlat_2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_154]),c_0_149]),c_0_163]),c_0_146])]) ).
cnf(c_0_170,plain,
( g2_conlat_1(u2_conlat_1(esk1_0),u1_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(esk1_0))) = k7_conlat_2(esk1_0)
| ~ m1_relset_1(u3_conlat_1(esk1_0),u1_conlat_1(esk1_0),u2_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_161]) ).
cnf(c_0_171,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X3,X1)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1)) ),
i_0_16 ).
cnf(c_0_172,plain,
( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_164]),c_0_165]),c_0_155]) ).
cnf(c_0_173,negated_conjecture,
l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_174,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_33 ).
cnf(c_0_175,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(esk1_0)),u1_conlat_1(k7_conlat_2(esk1_0)),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_136]),c_0_146])]) ).
cnf(c_0_176,plain,
( k4_relat_1(u3_conlat_1(esk1_0)) = u3_conlat_1(k7_conlat_2(esk1_0))
| ~ m1_relset_1(u3_conlat_1(esk1_0),u1_conlat_1(esk1_0),u2_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_177,plain,
( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_171]),c_0_165]),c_0_155]) ).
cnf(c_0_178,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_156]),c_0_167]),c_0_138])]),c_0_139]) ).
cnf(c_0_179,plain,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_173]),c_0_146])]) ).
cnf(c_0_180,negated_conjecture,
v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_156]),c_0_138]),c_0_158])]),c_0_159]),c_0_139]) ).
cnf(c_0_181,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_35 ).
cnf(c_0_182,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(esk1_0)),u2_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_175,c_0_149]) ).
cnf(c_0_183,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
i_0_64 ).
cnf(c_0_184,plain,
k4_relat_1(u3_conlat_1(esk1_0)) = u3_conlat_1(k7_conlat_2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_136]),c_0_138])]) ).
cnf(c_0_185,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_12 ).
cnf(c_0_186,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_41 ).
cnf(c_0_187,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_173]),c_0_178]),c_0_146])]) ).
cnf(c_0_188,plain,
( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]) ).
cnf(c_0_189,negated_conjecture,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| ~ v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_173]),c_0_146])]) ).
cnf(c_0_190,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_32 ).
cnf(c_0_191,plain,
( g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0)))) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_182,c_0_154]) ).
cnf(c_0_192,plain,
( k4_relat_1(u3_conlat_1(k7_conlat_2(esk1_0))) = u3_conlat_1(esk1_0)
| ~ v1_relat_1(u3_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_193,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_194,plain,
( g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) = X2
| ~ l1_conlat_1(X1)
| ~ v6_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
i_0_10 ).
cnf(c_0_195,plain,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_196,negated_conjecture,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_180])]) ).
cnf(c_0_197,negated_conjecture,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_173]),c_0_146]),c_0_180])]) ).
cnf(c_0_198,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
i_0_29 ).
cnf(c_0_199,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_142,c_0_146]) ).
cnf(c_0_200,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_156]),c_0_167]),c_0_138])]),c_0_139]) ).
cnf(c_0_201,plain,
( g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ v1_relat_1(u3_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_202,plain,
( v1_relat_1(u3_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_134]) ).
cnf(c_0_203,plain,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l1_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197]) ).
cnf(c_0_204,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
i_0_37 ).
cnf(c_0_205,plain,
l2_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_138])]),c_0_139]) ).
cnf(c_0_206,negated_conjecture,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_146])]),c_0_200]) ).
cnf(c_0_207,plain,
( g2_conlat_1(u1_conlat_1(esk1_0),u2_conlat_1(esk1_0),u3_conlat_1(esk1_0)) = k7_conlat_2(k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_138])]) ).
cnf(c_0_208,negated_conjecture,
v4_conlat_1(esk1_0),
i_0_7 ).
cnf(c_0_209,plain,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205])]) ).
cnf(c_0_210,plain,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_206,c_0_188]) ).
cnf(c_0_211,plain,
( k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_207]),c_0_208]),c_0_138])]) ).
cnf(c_0_212,plain,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_213,plain,
k7_conlat_2(k7_conlat_2(esk1_0)) = esk1_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_211]),c_0_138])]),c_0_139]) ).
cnf(c_0_214,plain,
( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
| v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_215,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
i_0_5 ).
cnf(c_0_216,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
i_0_1 ).
cnf(c_0_217,plain,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l1_conlat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_214]),c_0_156]),c_0_215])]),c_0_216]) ).
cnf(c_0_218,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ),
i_0_34 ).
cnf(c_0_219,plain,
( v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0))
| v3_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_204]),c_0_138])]) ).
cnf(c_0_220,plain,
v3_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_138]),c_0_156]),c_0_158])]),c_0_159]),c_0_139]) ).
cnf(c_0_221,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_220]),c_0_138])]),c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT345+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 29 06:47:39 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 8.28/2.34 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.28/2.34 # No SInE strategy applied
% 8.28/2.34 # Trying AutoSched0 for 150 seconds
% 8.28/2.34 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.28/2.34 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.28/2.34 #
% 8.28/2.34 # Preprocessing time : 0.024 s
% 8.28/2.34 # Presaturation interreduction done
% 8.28/2.34
% 8.28/2.34 # Proof found!
% 8.28/2.34 # SZS status Theorem
% 8.28/2.34 # SZS output start CNFRefutation
% See solution above
% 8.28/2.34 # Training examples: 0 positive, 0 negative
% 8.28/2.34
% 8.28/2.34 # -------------------------------------------------
% 8.28/2.34 # User time : 0.115 s
% 8.28/2.34 # System time : 0.007 s
% 8.28/2.34 # Total time : 0.121 s
% 8.28/2.34 # Maximum resident set size: 7124 pages
% 8.28/2.34
%------------------------------------------------------------------------------