TSTP Solution File: GRP643+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP643+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 08:39:49 EDT 2022
% Result : Theorem 7.52s 2.18s
% Output : CNFRefutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 37 ( 26 unt; 8 nHn; 37 RR)
% Number of literals : 104 ( 0 equ; 64 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_27) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_4) ).
cnf(i_0_8,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_8) ).
cnf(i_0_11,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_11) ).
cnf(i_0_80,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_80) ).
cnf(i_0_9,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_10) ).
cnf(i_0_1,negated_conjecture,
~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_1) ).
cnf(i_0_7,negated_conjecture,
v1_group_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_7) ).
cnf(i_0_6,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_6) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_5) ).
cnf(i_0_87,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X4)
| ~ r1_rlvect_1(X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_87) ).
cnf(i_0_81,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_81) ).
cnf(i_0_2,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8yqrtn7e/lgb.p',i_0_3) ).
cnf(c_0_103,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_27 ).
cnf(c_0_104,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
i_0_4 ).
cnf(c_0_105,negated_conjecture,
l1_group_1(esk1_0),
i_0_8 ).
cnf(c_0_106,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_11 ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X1),X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_80 ).
cnf(c_0_108,negated_conjecture,
( m1_subset_1(k1_group_1(esk1_0,X1,esk4_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]),c_0_106]) ).
cnf(c_0_109,negated_conjecture,
v4_group_1(esk1_0),
i_0_9 ).
cnf(c_0_110,negated_conjecture,
v3_group_1(esk1_0),
i_0_10 ).
cnf(c_0_111,negated_conjecture,
~ r2_hidden(k1_group_1(esk1_0,esk3_0,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
i_0_1 ).
cnf(c_0_112,negated_conjecture,
( r2_hidden(k1_group_1(esk1_0,X1,esk4_0),k1_funct_1(k1_latsubgr(esk1_0),X2))
| ~ v1_group_1(X2)
| ~ r1_rlvect_1(X2,k1_group_1(esk1_0,X1,esk4_0))
| ~ m1_group_2(X2,esk1_0)
| ~ m1_subset_1(X1,u1_struct_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_107,c_0_108]),c_0_105]),c_0_109]),c_0_110])]),c_0_106]) ).
cnf(c_0_113,negated_conjecture,
v1_group_1(esk2_0),
i_0_7 ).
cnf(c_0_114,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_115,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
i_0_5 ).
cnf(c_0_116,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k1_group_1(X1,X3,X4))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X4)
| ~ r1_rlvect_1(X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_87 ).
cnf(c_0_117,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
i_0_81 ).
cnf(c_0_118,negated_conjecture,
r2_hidden(esk4_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
i_0_2 ).
cnf(c_0_119,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
i_0_3 ).
cnf(c_0_120,negated_conjecture,
~ r1_rlvect_1(esk2_0,k1_group_1(esk1_0,esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_115])]) ).
cnf(c_0_121,negated_conjecture,
( r1_rlvect_1(X1,k1_group_1(esk1_0,X2,esk4_0))
| ~ r1_rlvect_1(X1,esk4_0)
| ~ r1_rlvect_1(X1,X2)
| ~ m1_group_2(X1,esk1_0)
| ~ m1_subset_1(X2,u1_struct_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_116,c_0_104]),c_0_105]),c_0_109]),c_0_110])]),c_0_106]) ).
cnf(c_0_122,negated_conjecture,
r1_rlvect_1(esk2_0,esk4_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_113]),c_0_105]),c_0_109]),c_0_110]),c_0_114]),c_0_104])]),c_0_106]) ).
cnf(c_0_123,negated_conjecture,
r1_rlvect_1(esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_119]),c_0_113]),c_0_105]),c_0_109]),c_0_110]),c_0_114]),c_0_115])]),c_0_106]) ).
cnf(c_0_124,negated_conjecture,
$false,
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_120,c_0_121]),c_0_122]),c_0_123]),c_0_114]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP643+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % 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 17:37:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.52/2.18 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.52/2.18 # No SInE strategy applied
% 7.52/2.18 # Trying AutoSched0 for 150 seconds
% 7.52/2.18 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.52/2.18 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.52/2.18 #
% 7.52/2.18 # Preprocessing time : 0.024 s
% 7.52/2.18 # Presaturation interreduction done
% 7.52/2.18
% 7.52/2.18 # Proof found!
% 7.52/2.18 # SZS status Theorem
% 7.52/2.18 # SZS output start CNFRefutation
% See solution above
% 7.52/2.18 # Training examples: 0 positive, 0 negative
% 7.52/2.18
% 7.52/2.18 # -------------------------------------------------
% 7.52/2.18 # User time : 0.042 s
% 7.52/2.18 # System time : 0.007 s
% 7.52/2.18 # Total time : 0.049 s
% 7.52/2.18 # Maximum resident set size: 7124 pages
% 7.52/2.18
%------------------------------------------------------------------------------