TSTP Solution File: GRP645+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:39:51 EDT 2022
% Result : Theorem 8.17s 2.45s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 26 unt; 17 nHn; 46 RR)
% Number of literals : 156 ( 21 equ; 97 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,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-hd75loqi/lgb.p',i_0_27) ).
cnf(i_0_34,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-hd75loqi/lgb.p',i_0_34) ).
cnf(i_0_33,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-hd75loqi/lgb.p',i_0_33) ).
cnf(i_0_32,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-hd75loqi/lgb.p',i_0_32) ).
cnf(i_0_41,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_41) ).
cnf(i_0_4,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_9) ).
cnf(i_0_42,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_42) ).
cnf(i_0_2,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
v1_group_1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
v1_group_1(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_5) ).
cnf(i_0_23,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_23) ).
cnf(i_0_1,negated_conjecture,
k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)) != k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_1) ).
cnf(i_0_22,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hd75loqi/lgb.p',i_0_22) ).
cnf(i_0_91,plain,
( k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) = u1_struct_0(k9_group_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ 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-hd75loqi/lgb.p',i_0_91) ).
cnf(c_0_110,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_27 ).
cnf(c_0_111,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_34 ).
cnf(c_0_112,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_33 ).
cnf(c_0_113,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_32 ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_41 ).
cnf(c_0_115,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
i_0_4 ).
cnf(c_0_116,negated_conjecture,
l1_group_1(esk1_0),
i_0_6 ).
cnf(c_0_117,negated_conjecture,
v4_group_1(esk1_0),
i_0_7 ).
cnf(c_0_118,negated_conjecture,
v3_group_1(esk1_0),
i_0_8 ).
cnf(c_0_119,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_9 ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_42 ).
cnf(c_0_121,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_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_122,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
i_0_2 ).
cnf(c_0_123,negated_conjecture,
v1_group_1(esk3_0),
i_0_3 ).
cnf(c_0_124,negated_conjecture,
v1_group_1(esk2_0),
i_0_5 ).
cnf(c_0_125,negated_conjecture,
( m1_group_2(k9_group_2(esk1_0,X1,esk2_0),esk1_0)
| ~ m1_group_2(X1,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_114,c_0_115]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( v1_group_1(k9_group_2(esk1_0,X1,esk2_0))
| ~ m1_group_2(X1,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_120,c_0_115]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_127,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_23 ).
cnf(c_0_128,negated_conjecture,
k3_xboole_0(k1_funct_1(k1_latsubgr(esk1_0),esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk3_0)) != k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)),
i_0_1 ).
cnf(c_0_129,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk3_0) = u1_struct_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(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_130,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
i_0_22 ).
cnf(c_0_131,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_121,c_0_115]),c_0_124]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_132,plain,
( k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,X1,esk2_0)) = u1_struct_0(k9_group_2(esk1_0,X1,esk2_0))
| ~ m1_group_2(X1,esk1_0) ),
inference(csr,[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_121,c_0_125]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]),c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( k9_group_2(esk1_0,X1,esk3_0) = k9_group_2(esk1_0,esk3_0,X1)
| ~ m1_group_2(X1,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_127,c_0_122]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_134,plain,
( k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) = u1_struct_0(k9_group_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ 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_91 ).
cnf(c_0_135,negated_conjecture,
k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk3_0)) != k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_131]),c_0_130]) ).
cnf(c_0_136,plain,
k1_funct_1(k1_latsubgr(esk1_0),k9_group_2(esk1_0,esk2_0,esk3_0)) = u1_struct_0(k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_122]),c_0_115])]) ).
cnf(c_0_137,negated_conjecture,
( k3_xboole_0(u1_struct_0(esk3_0),k1_funct_1(k1_latsubgr(esk1_0),X1)) = u1_struct_0(k9_group_2(esk1_0,X1,esk3_0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,esk1_0) ),
inference(rw,[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_134,c_0_122]),c_0_129]),c_0_123]),c_0_116]),c_0_117]),c_0_118])]),c_0_119]),c_0_130]) ).
cnf(c_0_138,negated_conjecture,
k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk3_0)) != u1_struct_0(k9_group_2(esk1_0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
$false,
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_137,c_0_131]),c_0_130]),c_0_124]),c_0_115])]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 21:56:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.17/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.45 # No SInE strategy applied
% 8.17/2.45 # Trying AutoSched0 for 150 seconds
% 8.17/2.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.17/2.45 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.17/2.45 #
% 8.17/2.45 # Preprocessing time : 0.017 s
% 8.17/2.45 # Presaturation interreduction done
% 8.17/2.45
% 8.17/2.45 # Proof found!
% 8.17/2.45 # SZS status Theorem
% 8.17/2.45 # SZS output start CNFRefutation
% See solution above
% 8.17/2.45 # Training examples: 0 positive, 0 negative
% 8.17/2.45
% 8.17/2.45 # -------------------------------------------------
% 8.17/2.45 # User time : 0.029 s
% 8.17/2.45 # System time : 0.007 s
% 8.17/2.45 # Total time : 0.035 s
% 8.17/2.45 # Maximum resident set size: 7124 pages
% 8.17/2.45
%------------------------------------------------------------------------------