TSTP Solution File: GRP646+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP646+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:39:52 EDT 2022
% Result : Theorem 106.26s 14.82s
% Output : CNFRefutation 106.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of clauses : 133 ( 42 unt; 68 nHn; 122 RR)
% Number of literals : 553 ( 61 equ; 353 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 192 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_33,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_33) ).
cnf(i_0_131,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_131) ).
cnf(i_0_2,negated_conjecture,
r2_hidden(k5_group_2(esk1_0),esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_2) ).
cnf(i_0_132,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_132) ).
cnf(i_0_46,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_46) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_group_3(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_3) ).
cnf(i_0_119,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_119) ).
cnf(i_0_129,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k9_relat_1(X3,X4))
| X2 != k1_funct_1(X3,X5)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X5,X4)
| ~ r2_hidden(X5,X6)
| ~ v1_funct_2(X3,X6,X1)
| ~ m2_relset_1(X3,X6,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_129) ).
cnf(i_0_27,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_27) ).
cnf(i_0_47,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_47) ).
cnf(i_0_28,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_28) ).
cnf(i_0_126,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_126) ).
cnf(i_0_29,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_29) ).
cnf(i_0_54,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_54) ).
cnf(i_0_60,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_2(X1),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_60) ).
cnf(i_0_48,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_48) ).
cnf(i_0_5,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_8) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_2(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_61) ).
cnf(i_0_35,plain,
( 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_struct_0(X2)
| v1_xboole_0(X3)
| X1 != k2_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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_35) ).
cnf(i_0_57,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_group_1(k2_latsubgr(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_57) ).
cnf(i_0_4,negated_conjecture,
~ v1_xboole_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_4) ).
cnf(i_0_56,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_group_2(k2_latsubgr(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_56) ).
cnf(i_0_112,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_112) ).
cnf(i_0_114,plain,
( k6_setfam_1(X1,X2) = k1_setfam_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_114) ).
cnf(i_0_134,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_2(X1),X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_134) ).
cnf(i_0_68,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_68) ).
cnf(i_0_69,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_69) ).
cnf(i_0_70,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_70) ).
cnf(i_0_34,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/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_34) ).
cnf(i_0_130,plain,
( r1_tarski(k1_setfam_1(X1),X2)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_130) ).
cnf(i_0_38,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_38) ).
cnf(i_0_21,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_21) ).
cnf(i_0_120,plain,
( v3_struct_0(X1)
| r1_group_2(X1,X2,X3)
| X2 != X3
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v1_group_1(X2)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_120) ).
cnf(i_0_1,negated_conjecture,
~ r1_group_2(esk1_0,k2_latsubgr(esk1_0,esk2_0),k5_group_2(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_1) ).
cnf(i_0_88,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_88) ).
cnf(i_0_89,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e67h3duj/input.p',i_0_89) ).
cnf(c_0_174,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_33 ).
cnf(c_0_175,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_131 ).
cnf(c_0_176,negated_conjecture,
r2_hidden(k5_group_2(esk1_0),esk2_0),
i_0_2 ).
cnf(c_0_177,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_132 ).
cnf(c_0_178,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_174]) ).
cnf(c_0_179,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_46 ).
cnf(c_0_180,negated_conjecture,
( m1_subset_1(k5_group_2(esk1_0),X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_181,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_group_3(esk1_0))),
i_0_3 ).
cnf(c_0_182,negated_conjecture,
( ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_176]) ).
cnf(c_0_183,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_119 ).
cnf(c_0_184,plain,
( X1 = k1_xboole_0
| r2_hidden(X2,k9_relat_1(X3,X4))
| X2 != k1_funct_1(X3,X5)
| ~ v1_funct_1(X3)
| ~ r2_hidden(X5,X4)
| ~ r2_hidden(X5,X6)
| ~ v1_funct_2(X3,X6,X1)
| ~ m2_relset_1(X3,X6,X1) ),
i_0_129 ).
cnf(c_0_185,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_27 ).
cnf(c_0_186,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_187,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_47 ).
cnf(c_0_188,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_28 ).
cnf(c_0_189,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_126 ).
cnf(c_0_190,negated_conjecture,
m1_subset_1(k5_group_2(esk1_0),k1_group_3(esk1_0)),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_191,negated_conjecture,
~ v1_xboole_0(k1_group_3(esk1_0)),
inference(spm,[status(thm)],[c_0_182,c_0_181]) ).
cnf(c_0_192,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_29 ).
cnf(c_0_193,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_54 ).
cnf(c_0_194,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_183,c_0_179]) ).
cnf(c_0_195,plain,
( X1 = k1_xboole_0
| r2_hidden(k1_funct_1(X2,X3),k9_relat_1(X2,X4))
| ~ m2_relset_1(X2,X5,X1)
| ~ v1_funct_2(X2,X5,X1)
| ~ v1_funct_1(X2)
| ~ r2_hidden(X3,X5)
| ~ r2_hidden(X3,X4) ),
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_196,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_group_3(X1))
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_185]) ).
cnf(c_0_197,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_2(X1),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_60 ).
cnf(c_0_198,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_199,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_48 ).
cnf(c_0_200,plain,
( m1_group_2(X1,X2)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_group_3(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(er,[status(thm)],[c_0_188]) ).
cnf(c_0_201,plain,
r2_hidden(k5_group_2(esk1_0),k1_group_3(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]) ).
cnf(c_0_202,negated_conjecture,
l1_group_1(esk1_0),
i_0_5 ).
cnf(c_0_203,negated_conjecture,
v4_group_1(esk1_0),
i_0_6 ).
cnf(c_0_204,negated_conjecture,
v3_group_1(esk1_0),
i_0_7 ).
cnf(c_0_205,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_8 ).
cnf(c_0_206,plain,
( v1_group_1(X1)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k1_group_3(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(er,[status(thm)],[c_0_192]) ).
cnf(c_0_207,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_208,plain,
( k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| v3_struct_0(X1)
| r2_hidden(k1_funct_1(k1_latsubgr(X1),X2),k9_relat_1(k1_latsubgr(X1),X3))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ r2_hidden(X2,k1_group_3(X1))
| ~ r2_hidden(X2,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_179]) ).
cnf(c_0_209,plain,
( v3_struct_0(X1)
| r2_hidden(k5_group_2(X1),k1_group_3(X1))
| ~ v1_group_1(k5_group_2(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_210,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_2(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_61 ).
cnf(c_0_211,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_212,plain,
m1_group_2(k5_group_2(esk1_0),esk1_0),
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_200,c_0_201]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_213,plain,
v1_group_1(k5_group_2(esk1_0)),
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_206,c_0_201]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_214,plain,
( 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_struct_0(X2)
| v1_xboole_0(X3)
| X1 != k2_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_35 ).
cnf(c_0_215,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_group_1(k2_latsubgr(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
i_0_57 ).
cnf(c_0_216,negated_conjecture,
~ v1_xboole_0(esk2_0),
i_0_4 ).
cnf(c_0_217,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_group_2(k2_latsubgr(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1))) ),
i_0_56 ).
cnf(c_0_218,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_207,c_0_187]) ).
cnf(c_0_219,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_112 ).
cnf(c_0_220,negated_conjecture,
( k1_zfmisc_1(u1_struct_0(X1)) = k1_xboole_0
| v3_struct_0(X1)
| r2_hidden(k1_funct_1(k1_latsubgr(X1),k5_group_2(esk1_0)),k9_relat_1(k1_latsubgr(X1),esk2_0))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ r2_hidden(k5_group_2(esk1_0),k1_group_3(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_176]) ).
cnf(c_0_221,plain,
( v3_struct_0(X1)
| r2_hidden(k5_group_2(X1),k1_group_3(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_222,plain,
k1_funct_1(k1_latsubgr(esk1_0),k5_group_2(esk1_0)) = u1_struct_0(k5_group_2(esk1_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_211,c_0_212]),c_0_213]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_223,plain,
( k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2)) = u1_struct_0(k2_latsubgr(X1,X2))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ m1_group_2(k2_latsubgr(X1,X2),X1)
| ~ v1_group_1(k2_latsubgr(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_214]) ).
cnf(c_0_224,negated_conjecture,
v1_group_1(k2_latsubgr(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_181]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]),c_0_216]) ).
cnf(c_0_225,negated_conjecture,
m1_group_2(k2_latsubgr(esk1_0,esk2_0),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_217,c_0_181]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]),c_0_216]) ).
cnf(c_0_226,plain,
( k6_setfam_1(X1,X2) = k1_setfam_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_114 ).
cnf(c_0_227,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2),k1_zfmisc_1(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_218,c_0_199]) ).
cnf(c_0_228,plain,
( k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2) = k9_relat_1(k1_latsubgr(X1),X2)
| v3_struct_0(X1)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_219,c_0_194]) ).
cnf(c_0_229,plain,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r2_hidden(u1_struct_0(k5_group_2(esk1_0)),k9_relat_1(k1_latsubgr(esk1_0),esk2_0))
| ~ v1_funct_2(k1_latsubgr(esk1_0),k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_funct_1(k1_latsubgr(esk1_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_220,c_0_221]),c_0_222]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_230,negated_conjecture,
k6_setfam_1(u1_struct_0(esk1_0),k2_funct_2(k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_181]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]),c_0_216]) ).
cnf(c_0_231,plain,
( k6_setfam_1(u1_struct_0(X1),k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2)) = k1_setfam_1(k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_232,plain,
( k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2) = k9_relat_1(k1_latsubgr(X1),X2)
| v3_struct_0(X1)
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_228,c_0_187]) ).
cnf(c_0_233,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_2(X1),X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_134 ).
cnf(c_0_234,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_68 ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_69 ).
cnf(c_0_236,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_70 ).
cnf(c_0_237,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_34 ).
cnf(c_0_238,plain,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r2_hidden(u1_struct_0(k5_group_2(esk1_0)),k9_relat_1(k1_latsubgr(esk1_0),esk2_0))
| ~ v1_funct_1(k1_latsubgr(esk1_0)) ),
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_229,c_0_187]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_239,negated_conjecture,
k1_setfam_1(k2_funct_2(k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),
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_230,c_0_231]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_240,plain,
( k2_funct_2(k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_latsubgr(X1),X2) = k9_relat_1(k1_latsubgr(X1),X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_199]) ).
cnf(c_0_241,plain,
m1_group_2(k5_group_2(esk1_0),k2_latsubgr(esk1_0,esk2_0)),
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_233,c_0_225]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_242,plain,
l1_group_1(k2_latsubgr(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_234,c_0_225]),c_0_202]),c_0_204])]),c_0_205]) ).
cnf(c_0_243,plain,
v3_group_1(k2_latsubgr(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_235,c_0_225]),c_0_202]),c_0_204])]),c_0_205]) ).
cnf(c_0_244,plain,
~ v3_struct_0(k2_latsubgr(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_236,c_0_225]),c_0_202]),c_0_204])]),c_0_205]) ).
cnf(c_0_245,negated_conjecture,
( X1 = k2_latsubgr(esk1_0,esk2_0)
| u1_struct_0(X1) != k6_setfam_1(u1_struct_0(esk1_0),k2_funct_2(k1_group_3(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)),k1_latsubgr(esk1_0),esk2_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
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_237,c_0_181]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]),c_0_216]) ).
cnf(c_0_246,plain,
( r1_tarski(k1_setfam_1(X1),X2)
| ~ r2_hidden(X2,X1) ),
i_0_130 ).
cnf(c_0_247,plain,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r2_hidden(u1_struct_0(k5_group_2(esk1_0)),k9_relat_1(k1_latsubgr(esk1_0),esk2_0)) ),
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_238,c_0_199]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_248,plain,
k1_setfam_1(k9_relat_1(k1_latsubgr(esk1_0),esk2_0)) = u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),
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_239,c_0_240]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_249,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ m1_group_2(X2,X1) ),
i_0_38 ).
cnf(c_0_250,plain,
l1_group_1(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_241]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_251,plain,
v3_group_1(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_241]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_252,plain,
~ v3_struct_0(k5_group_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_241]),c_0_242]),c_0_243])]),c_0_244]) ).
cnf(c_0_253,negated_conjecture,
( X1 = k2_latsubgr(esk1_0,esk2_0)
| u1_struct_0(X1) != u1_struct_0(k2_latsubgr(esk1_0,esk2_0))
| ~ m1_group_2(X1,esk1_0)
| ~ v1_group_1(X1) ),
inference(rw,[status(thm)],[c_0_245,c_0_230]) ).
cnf(c_0_254,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
i_0_21 ).
cnf(c_0_255,plain,
( k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0
| r1_tarski(u1_struct_0(k2_latsubgr(esk1_0,esk2_0)),u1_struct_0(k5_group_2(esk1_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).
cnf(c_0_256,plain,
r1_tarski(u1_struct_0(k5_group_2(esk1_0)),u1_struct_0(k2_latsubgr(esk1_0,esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_241]),c_0_242]),c_0_243])]),c_0_244]),c_0_250]),c_0_251])]),c_0_252]) ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| r1_group_2(X1,X2,X3)
| X2 != X3
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v1_group_1(X2)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_120 ).
cnf(c_0_258,plain,
( k2_latsubgr(esk1_0,esk2_0) = k5_group_2(esk1_0)
| u1_struct_0(k2_latsubgr(esk1_0,esk2_0)) != u1_struct_0(k5_group_2(esk1_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_253,c_0_197]),c_0_213]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_259,plain,
( u1_struct_0(k2_latsubgr(esk1_0,esk2_0)) = u1_struct_0(k5_group_2(esk1_0))
| k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256])]) ).
cnf(c_0_260,plain,
( r1_group_2(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[c_0_257]) ).
cnf(c_0_261,negated_conjecture,
~ r1_group_2(esk1_0,k2_latsubgr(esk1_0,esk2_0),k5_group_2(esk1_0)),
i_0_1 ).
cnf(c_0_262,plain,
( k2_latsubgr(esk1_0,esk2_0) = k5_group_2(esk1_0)
| k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_263,plain,
r1_group_2(esk1_0,k5_group_2(esk1_0),k5_group_2(esk1_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_260,c_0_212]),c_0_213]),c_0_202]),c_0_203]),c_0_204])]),c_0_205]) ).
cnf(c_0_264,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
i_0_88 ).
cnf(c_0_265,negated_conjecture,
k1_zfmisc_1(u1_struct_0(esk1_0)) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263])]) ).
cnf(c_0_266,plain,
v1_xboole_0(k1_xboole_0),
i_0_89 ).
cnf(c_0_267,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP646+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:22:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 106.26/14.82 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 106.26/14.82 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 50; version: 991; iters: 150)
% 106.26/14.82 # Preprocessing time : 0.860 s
% 106.26/14.82 # Presaturation interreduction done
% 106.26/14.82
% 106.26/14.82 # Proof found!
% 106.26/14.82 # SZS status Theorem
% 106.26/14.82 # SZS output start CNFRefutation
% See solution above
% 106.26/14.82 # Training examples: 0 positive, 0 negative
% 106.26/14.82
% 106.26/14.82 # -------------------------------------------------
% 106.26/14.82 # User time : 11.918 s
% 106.26/14.82 # System time : 0.224 s
% 106.26/14.82 # Total time : 12.142 s
% 106.26/14.82 # ...preprocessing : 0.860 s
% 106.26/14.82 # ...main loop : 11.282 s
% 106.26/14.82 # Maximum resident set size: 167096 pages
% 106.26/14.82
%------------------------------------------------------------------------------