TSTP Solution File: GRP647+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP647+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 : Sat Jul 16 08:39:53 EDT 2022
% Result : Theorem 16.89s 3.60s
% Output : CNFRefutation 16.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 33
% Syntax : Number of clauses : 92 ( 29 unt; 41 nHn; 86 RR)
% Number of literals : 367 ( 65 equ; 232 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 147 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2,negated_conjecture,
k18_group_2(k1_group_3(esk1_0),esk2_0) = esk3_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_2) ).
cnf(i_0_105,plain,
( k18_group_2(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_105) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk2_0,k1_group_3(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_5) ).
cnf(i_0_80,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_xboole_0(k1_group_3(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_80) ).
cnf(i_0_7,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_7) ).
cnf(i_0_6,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_9) ).
cnf(i_0_33,plain,
( v3_struct_0(X1)
| v1_group_1(X2)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ r2_hidden(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_33) ).
cnf(i_0_116,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_116) ).
cnf(i_0_38,plain,
( X1 = k2_latsubgr(X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| u1_struct_0(X1) != k6_setfam_1(u1_struct_0(X2),k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_38) ).
cnf(i_0_108,plain,
( k6_setfam_1(X1,X2) = k1_setfam_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_108) ).
cnf(i_0_111,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_111) ).
cnf(i_0_45,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_45) ).
cnf(i_0_113,plain,
( k1_tarski(k1_funct_1(X1,X2)) = k9_relat_1(X1,k1_tarski(X2))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_113) ).
cnf(i_0_37,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_37) ).
cnf(i_0_47,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_47) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_46) ).
cnf(i_0_107,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_107) ).
cnf(i_0_27,plain,
( X1 = k1_xboole_0
| k4_relset_1(X2,X1,X3) = X2
| ~ v1_funct_2(X3,X2,X1)
| ~ m2_relset_1(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_27) ).
cnf(i_0_110,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_110) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ r2_hidden(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_32) ).
cnf(i_0_53,plain,
( m1_subset_1(k2_funct_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_53) ).
cnf(i_0_14,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_14) ).
cnf(i_0_69,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_69) ).
cnf(i_0_106,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_106) ).
cnf(i_0_31,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_31) ).
cnf(i_0_114,plain,
k1_setfam_1(k1_tarski(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_114) ).
cnf(i_0_4,negated_conjecture,
~ v1_xboole_0(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_4) ).
cnf(i_0_1,negated_conjecture,
k2_latsubgr(esk1_0,esk3_0) != esk2_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_1) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_group_3(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_3) ).
cnf(i_0_82,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_82) ).
cnf(i_0_83,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tlzpz5og/input.p',i_0_83) ).
cnf(c_0_150,negated_conjecture,
k18_group_2(k1_group_3(esk1_0),esk2_0) = esk3_0,
i_0_2 ).
cnf(c_0_151,plain,
( k18_group_2(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
i_0_105 ).
cnf(c_0_152,negated_conjecture,
m1_subset_1(esk2_0,k1_group_3(esk1_0)),
i_0_5 ).
cnf(c_0_153,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_xboole_0(k1_group_3(X1)) ),
i_0_80 ).
cnf(c_0_154,negated_conjecture,
v4_group_1(esk1_0),
i_0_7 ).
cnf(c_0_155,negated_conjecture,
l1_group_1(esk1_0),
i_0_6 ).
cnf(c_0_156,negated_conjecture,
v3_group_1(esk1_0),
i_0_8 ).
cnf(c_0_157,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_9 ).
cnf(c_0_158,plain,
( v3_struct_0(X1)
| v1_group_1(X2)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ r2_hidden(X2,X3) ),
i_0_33 ).
cnf(c_0_159,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_116 ).
cnf(c_0_160,negated_conjecture,
( k1_tarski(esk2_0) = esk3_0
| v1_xboole_0(k1_group_3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]) ).
cnf(c_0_161,negated_conjecture,
~ v1_xboole_0(k1_group_3(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_156])]),c_0_157]) ).
cnf(c_0_162,plain,
( v1_group_1(X1)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| X3 != k1_group_3(X2)
| ~ m1_subset_1(X1,X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,plain,
( X1 = k2_latsubgr(X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| u1_struct_0(X1) != k6_setfam_1(u1_struct_0(X2),k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2))) ),
i_0_38 ).
cnf(c_0_164,plain,
( k6_setfam_1(X1,X2) = k1_setfam_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_108 ).
cnf(c_0_165,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_111 ).
cnf(c_0_166,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_45 ).
cnf(c_0_167,plain,
( k1_tarski(k1_funct_1(X1,X2)) = k9_relat_1(X1,k1_tarski(X2))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1)) ),
i_0_113 ).
cnf(c_0_168,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(sr,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_37 ).
cnf(c_0_170,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_47 ).
cnf(c_0_171,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_46 ).
cnf(c_0_172,negated_conjecture,
( v1_group_1(esk2_0)
| v3_struct_0(X1)
| k1_group_3(esk1_0) != k1_group_3(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_152]),c_0_161]) ).
cnf(c_0_173,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_107 ).
cnf(c_0_174,plain,
( X1 = k1_xboole_0
| k4_relset_1(X2,X1,X3) = X2
| ~ v1_funct_2(X3,X2,X1)
| ~ m2_relset_1(X3,X2,X1) ),
i_0_27 ).
cnf(c_0_175,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_110 ).
cnf(c_0_176,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ r2_hidden(X2,X3) ),
i_0_32 ).
cnf(c_0_177,plain,
( X1 = k2_latsubgr(X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| u1_struct_0(X1) != k1_setfam_1(k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X2))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_178,plain,
( m1_subset_1(k2_funct_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_53 ).
cnf(c_0_179,plain,
( v3_struct_0(X1)
| m1_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_180,negated_conjecture,
( k1_tarski(k1_funct_1(X1,esk2_0)) = k9_relat_1(X1,esk3_0)
| ~ r2_hidden(esk2_0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_181,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_166]),c_0_170]),c_0_171]) ).
cnf(c_0_182,negated_conjecture,
v1_group_1(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_154]),c_0_155]),c_0_156])]),c_0_157]) ).
cnf(c_0_183,plain,
( X1 = k1_relat_1(X2)
| X3 = k1_xboole_0
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_184,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_14 ).
cnf(c_0_185,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_69 ).
cnf(c_0_186,plain,
( m1_group_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| X3 != k1_group_3(X2)
| ~ m1_subset_1(X1,X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_159]) ).
cnf(c_0_187,plain,
( X1 = k2_latsubgr(X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| u1_struct_0(X1) != k1_setfam_1(k2_funct_2(k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)),k1_latsubgr(X2),X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_170]),c_0_179]),c_0_171]) ).
cnf(c_0_188,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_106 ).
cnf(c_0_189,negated_conjecture,
( k9_relat_1(k1_latsubgr(X1),esk3_0) = k1_tarski(u1_struct_0(esk2_0))
| v3_struct_0(X1)
| ~ m1_group_2(esk2_0,X1)
| ~ r2_hidden(esk2_0,k1_relat_1(k1_latsubgr(X1)))
| ~ v1_relat_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182])]),c_0_170]) ).
cnf(c_0_190,plain,
( k1_relat_1(k1_latsubgr(X1)) = k1_group_3(X1)
| k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_179]),c_0_171]) ).
cnf(c_0_191,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,plain,
( v3_struct_0(X1)
| r2_hidden(X2,X3)
| X3 != k1_group_3(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1) ),
i_0_31 ).
cnf(c_0_193,negated_conjecture,
( m1_group_2(esk2_0,X1)
| v3_struct_0(X1)
| k1_group_3(esk1_0) != k1_group_3(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_152]),c_0_161]) ).
cnf(c_0_194,plain,
( X1 = k2_latsubgr(X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| u1_struct_0(X1) != k1_setfam_1(k9_relat_1(k1_latsubgr(X2),X3))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_group_3(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_170]),c_0_179]),c_0_171]) ).
cnf(c_0_195,plain,
( k9_relat_1(k1_latsubgr(X1),esk3_0) = k1_tarski(u1_struct_0(esk2_0))
| k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| v3_struct_0(X1)
| ~ m1_group_2(esk2_0,X1)
| ~ r2_hidden(esk2_0,k1_group_3(X1))
| ~ v1_relat_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_196,plain,
k1_setfam_1(k1_tarski(X1)) = X1,
i_0_114 ).
cnf(c_0_197,negated_conjecture,
~ v1_xboole_0(esk3_0),
i_0_4 ).
cnf(c_0_198,plain,
( v3_struct_0(X1)
| v1_relat_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_166]) ).
cnf(c_0_199,plain,
( r2_hidden(esk2_0,X1)
| v3_struct_0(X2)
| k1_group_3(esk1_0) != k1_group_3(X2)
| X1 != k1_group_3(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_182])]) ).
cnf(c_0_200,plain,
( k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| X2 = k2_latsubgr(X1,esk3_0)
| v3_struct_0(X1)
| u1_struct_0(X2) != u1_struct_0(esk2_0)
| ~ v1_group_1(X2)
| ~ m1_group_2(esk2_0,X1)
| ~ m1_group_2(X2,X1)
| ~ r2_hidden(esk2_0,k1_group_3(X1))
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_201,plain,
( r2_hidden(esk2_0,k1_group_3(X1))
| v3_struct_0(X1)
| k1_group_3(esk1_0) != k1_group_3(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_199]) ).
cnf(c_0_202,negated_conjecture,
k2_latsubgr(esk1_0,esk3_0) != esk2_0,
i_0_1 ).
cnf(c_0_203,negated_conjecture,
( k2_latsubgr(X1,esk3_0) = esk2_0
| k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| v3_struct_0(X1)
| k1_group_3(esk1_0) != k1_group_3(X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_193]),c_0_182])]),c_0_201]),c_0_193]) ).
cnf(c_0_204,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_group_3(esk1_0))),
i_0_3 ).
cnf(c_0_205,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
i_0_82 ).
cnf(c_0_206,negated_conjecture,
k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]),c_0_155]),c_0_154]),c_0_156])]),c_0_157]) ).
cnf(c_0_207,plain,
v1_xboole_0(k1_xboole_0),
i_0_83 ).
cnf(c_0_208,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP647+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 07:01:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 16.89/3.60 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.89/3.60 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 50; version: 991; iters: 150)
% 16.89/3.60 # Preprocessing time : 0.972 s
% 16.89/3.60
% 16.89/3.60 # Proof found!
% 16.89/3.60 # SZS status Theorem
% 16.89/3.60 # SZS output start CNFRefutation
% See solution above
% 16.89/3.60 # Training examples: 0 positive, 0 negative
% 16.89/3.60
% 16.89/3.60 # -------------------------------------------------
% 16.89/3.60 # User time : 0.970 s
% 16.89/3.60 # System time : 0.124 s
% 16.89/3.60 # Total time : 1.094 s
% 16.89/3.60 # ...preprocessing : 0.972 s
% 16.89/3.60 # ...main loop : 0.122 s
% 16.89/3.60 # Maximum resident set size: 168828 pages
% 16.89/3.60
%------------------------------------------------------------------------------