TSTP Solution File: GRP641+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:39:47 EDT 2022
% Result : Theorem 7.42s 2.31s
% Output : CNFRefutation 7.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of clauses : 46 ( 23 unt; 17 nHn; 46 RR)
% Number of literals : 136 ( 9 equ; 80 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,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-67fmjqjl/lgb.p',i_0_23) ).
cnf(i_0_30,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-67fmjqjl/lgb.p',i_0_30) ).
cnf(i_0_29,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-67fmjqjl/lgb.p',i_0_29) ).
cnf(i_0_28,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-67fmjqjl/lgb.p',i_0_28) ).
cnf(i_0_85,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_85) ).
cnf(i_0_2,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_7) ).
cnf(i_0_37,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/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_37) ).
cnf(i_0_39,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/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_39) ).
cnf(i_0_3,negated_conjecture,
v1_group_1(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_3) ).
cnf(i_0_33,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_33) ).
cnf(i_0_1,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_1) ).
cnf(i_0_81,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_81) ).
cnf(i_0_54,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_54) ).
cnf(i_0_35,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-67fmjqjl/lgb.p',i_0_35) ).
cnf(c_0_104,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_23 ).
cnf(c_0_105,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_30 ).
cnf(c_0_106,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_29 ).
cnf(c_0_107,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_28 ).
cnf(c_0_108,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_85 ).
cnf(c_0_109,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
i_0_2 ).
cnf(c_0_110,negated_conjecture,
l1_group_1(esk1_0),
i_0_4 ).
cnf(c_0_111,negated_conjecture,
v4_group_1(esk1_0),
i_0_5 ).
cnf(c_0_112,negated_conjecture,
v3_group_1(esk1_0),
i_0_6 ).
cnf(c_0_113,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_37 ).
cnf(c_0_115,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_39 ).
cnf(c_0_116,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_117,negated_conjecture,
v1_group_1(esk2_0),
i_0_3 ).
cnf(c_0_118,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_33 ).
cnf(c_0_119,negated_conjecture,
k2_group_1(esk2_0) = k2_group_1(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_108,c_0_109]),c_0_110]),c_0_111]),c_0_112])]),c_0_113]) ).
cnf(c_0_120,negated_conjecture,
l1_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_114,c_0_109]),c_0_110]),c_0_112])]),c_0_113]) ).
cnf(c_0_121,negated_conjecture,
~ v3_struct_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_115,c_0_109]),c_0_110]),c_0_112])]),c_0_113]) ).
cnf(c_0_122,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
i_0_1 ).
cnf(c_0_123,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(esk2_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_116,c_0_109]),c_0_117]),c_0_110]),c_0_111]),c_0_112])]),c_0_113]) ).
cnf(c_0_124,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_81 ).
cnf(c_0_125,plain,
m1_subset_1(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]),c_0_121]) ).
cnf(c_0_126,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_54 ).
cnf(c_0_128,plain,
v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_129,plain,
~ l1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_121]) ).
cnf(c_0_130,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_35 ).
cnf(c_0_131,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_120])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 13:23:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.42/2.31 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.42/2.31 # No SInE strategy applied
% 7.42/2.31 # Trying AutoSched0 for 150 seconds
% 7.42/2.31 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.42/2.31 # and selection function SelectNewComplexAHP.
% 7.42/2.31 #
% 7.42/2.31 # Preprocessing time : 0.023 s
% 7.42/2.31 # Presaturation interreduction done
% 7.42/2.31
% 7.42/2.31 # Proof found!
% 7.42/2.31 # SZS status Theorem
% 7.42/2.31 # SZS output start CNFRefutation
% See solution above
% 7.42/2.31 # Training examples: 0 positive, 0 negative
% 7.42/2.31
% 7.42/2.31 # -------------------------------------------------
% 7.42/2.31 # User time : 0.025 s
% 7.42/2.31 # System time : 0.007 s
% 7.42/2.31 # Total time : 0.032 s
% 7.42/2.31 # Maximum resident set size: 7120 pages
% 7.42/2.31
%------------------------------------------------------------------------------