TSTP Solution File: GRP637+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP637+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:39:44 EDT 2022
% Result : Theorem 7.80s 2.38s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of clauses : 78 ( 50 unt; 14 nHn; 75 RR)
% Number of literals : 182 ( 9 equ; 95 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 72 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_34,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-a_t5rwka/lgb.p',i_0_34) ).
cnf(i_0_44,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-a_t5rwka/lgb.p',i_0_44) ).
cnf(i_0_43,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-a_t5rwka/lgb.p',i_0_43) ).
cnf(i_0_45,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-a_t5rwka/lgb.p',i_0_45) ).
cnf(i_0_84,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_84) ).
cnf(i_0_2,negated_conjecture,
m1_group_6(esk4_0,esk1_0,esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_2) ).
cnf(i_0_17,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_17) ).
cnf(i_0_18,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_18) ).
cnf(i_0_19,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_19) ).
cnf(i_0_7,negated_conjecture,
m1_group_2(esk5_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_7) ).
cnf(i_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_20) ).
cnf(i_0_86,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_86) ).
cnf(i_0_9,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_9) ).
cnf(i_0_49,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-a_t5rwka/lgb.p',i_0_49) ).
cnf(i_0_82,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_82) ).
cnf(i_0_11,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
v1_funct_1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_12) ).
cnf(i_0_88,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_88) ).
cnf(i_0_24,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-a_t5rwka/lgb.p',i_0_24) ).
cnf(i_0_4,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0)) = u1_struct_0(esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_3) ).
cnf(i_0_95,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_95) ).
cnf(i_0_83,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_83) ).
cnf(i_0_5,negated_conjecture,
m1_group_2(esk7_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_5) ).
cnf(i_0_13,negated_conjecture,
l1_group_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
v4_group_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
v3_group_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_15) ).
cnf(i_0_16,negated_conjecture,
~ v3_struct_0(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_16) ).
cnf(i_0_6,negated_conjecture,
m1_group_2(esk6_0,esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_6) ).
cnf(i_0_1,negated_conjecture,
~ m1_group_6(esk6_0,esk2_0,esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-a_t5rwka/lgb.p',i_0_1) ).
cnf(c_0_126,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_34 ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_44 ).
cnf(c_0_128,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_43 ).
cnf(c_0_129,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_45 ).
cnf(c_0_130,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
i_0_84 ).
cnf(c_0_131,negated_conjecture,
m1_group_6(esk4_0,esk1_0,esk5_0),
i_0_2 ).
cnf(c_0_132,negated_conjecture,
l1_group_1(esk1_0),
i_0_17 ).
cnf(c_0_133,negated_conjecture,
v4_group_1(esk1_0),
i_0_18 ).
cnf(c_0_134,negated_conjecture,
v3_group_1(esk1_0),
i_0_19 ).
cnf(c_0_135,negated_conjecture,
m1_group_2(esk5_0,esk1_0),
i_0_7 ).
cnf(c_0_136,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_20 ).
cnf(c_0_137,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_86 ).
cnf(c_0_138,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_9 ).
cnf(c_0_139,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_129]) ).
cnf(c_0_140,negated_conjecture,
m1_group_2(esk4_0,esk5_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_130,c_0_131]),c_0_132]),c_0_133]),c_0_134]),c_0_135])]),c_0_136]) ).
cnf(c_0_141,negated_conjecture,
l1_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_135]),c_0_132]),c_0_134])]),c_0_136]) ).
cnf(c_0_142,negated_conjecture,
v3_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_135]),c_0_132]),c_0_134])]),c_0_136]) ).
cnf(c_0_143,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_135]),c_0_132]),c_0_134])]),c_0_136]) ).
cnf(c_0_144,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_49 ).
cnf(c_0_145,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_82 ).
cnf(c_0_146,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_11 ).
cnf(c_0_148,negated_conjecture,
v1_funct_1(esk3_0),
i_0_12 ).
cnf(c_0_149,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_88 ).
cnf(c_0_150,negated_conjecture,
r1_tarski(u1_struct_0(esk4_0),u1_struct_0(esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_151,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_24 ).
cnf(c_0_152,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_144,c_0_138]) ).
cnf(c_0_153,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0),
i_0_4 ).
cnf(c_0_154,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k9_relat_1(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_148])]) ).
cnf(c_0_155,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0)) = u1_struct_0(esk7_0),
i_0_3 ).
cnf(c_0_156,plain,
( r1_tarski(k9_relat_1(X1,u1_struct_0(esk4_0)),k9_relat_1(X1,u1_struct_0(esk5_0)))
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_157,plain,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,negated_conjecture,
k9_relat_1(esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0),
inference(rw,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
k9_relat_1(esk3_0,u1_struct_0(esk5_0)) = u1_struct_0(esk7_0),
inference(rw,[status(thm)],[c_0_155,c_0_154]) ).
cnf(c_0_160,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
i_0_95 ).
cnf(c_0_161,plain,
r1_tarski(u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_162,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
i_0_83 ).
cnf(c_0_163,negated_conjecture,
m1_group_2(esk7_0,esk2_0),
i_0_5 ).
cnf(c_0_164,negated_conjecture,
l1_group_1(esk2_0),
i_0_13 ).
cnf(c_0_165,negated_conjecture,
v4_group_1(esk2_0),
i_0_14 ).
cnf(c_0_166,negated_conjecture,
v3_group_1(esk2_0),
i_0_15 ).
cnf(c_0_167,negated_conjecture,
~ v3_struct_0(esk2_0),
i_0_16 ).
cnf(c_0_168,plain,
( v3_struct_0(X1)
| m1_group_2(esk6_0,esk7_0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(esk7_0,X1)
| ~ m1_group_2(esk6_0,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_169,negated_conjecture,
m1_group_2(esk6_0,esk2_0),
i_0_6 ).
cnf(c_0_170,negated_conjecture,
( m1_group_6(X1,esk2_0,esk7_0)
| ~ m1_group_2(X1,esk7_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_162,c_0_163]),c_0_164]),c_0_165]),c_0_166])]),c_0_167]) ).
cnf(c_0_171,negated_conjecture,
m1_group_2(esk6_0,esk7_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_168,c_0_163]),c_0_164]),c_0_165]),c_0_166]),c_0_169])]),c_0_167]) ).
cnf(c_0_172,negated_conjecture,
~ m1_group_6(esk6_0,esk2_0,esk7_0),
i_0_1 ).
cnf(c_0_173,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP637+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 05:50:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.80/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.80/2.38 # No SInE strategy applied
% 7.80/2.38 # Trying AutoSched0 for 150 seconds
% 7.80/2.38 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 7.80/2.38 # and selection function SelectComplexG.
% 7.80/2.38 #
% 7.80/2.38 # Preprocessing time : 0.024 s
% 7.80/2.38 # Presaturation interreduction done
% 7.80/2.38
% 7.80/2.38 # Proof found!
% 7.80/2.38 # SZS status Theorem
% 7.80/2.38 # SZS output start CNFRefutation
% See solution above
% 7.80/2.38 # Training examples: 0 positive, 0 negative
% 7.80/2.38
% 7.80/2.38 # -------------------------------------------------
% 7.80/2.38 # User time : 0.033 s
% 7.80/2.38 # System time : 0.004 s
% 7.80/2.38 # Total time : 0.037 s
% 7.80/2.38 # Maximum resident set size: 7128 pages
% 7.80/2.38
%------------------------------------------------------------------------------