TSTP Solution File: GRP640+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:39:46 EDT 2022
% Result : Theorem 7.71s 2.33s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of clauses : 41 ( 23 unt; 14 nHn; 41 RR)
% Number of literals : 138 ( 11 equ; 87 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_104,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_104) ).
cnf(i_0_2,negated_conjecture,
k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)) = esk6_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_3) ).
cnf(i_0_13,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_13) ).
cnf(i_0_14,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_14) ).
cnf(i_0_15,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_15) ).
cnf(i_0_7,negated_conjecture,
m1_group_2(esk4_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_8) ).
cnf(i_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_16) ).
cnf(i_0_91,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_91) ).
cnf(i_0_90,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_90) ).
cnf(i_0_86,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X3)
| ~ m1_group_2(X1,X3)
| ~ r1_group_2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_86) ).
cnf(i_0_92,plain,
( v3_struct_0(X1)
| m1_group_2(k8_group_4(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/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_92) ).
cnf(i_0_93,plain,
( v3_struct_0(X1)
| v1_group_1(k8_group_4(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/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_93) ).
cnf(i_0_1,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l8rxm8cu/lgb.p',i_0_1) ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| X4 != k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_104 ).
cnf(c_0_121,plain,
( r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_122,negated_conjecture,
k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)) = esk6_0,
i_0_2 ).
cnf(c_0_123,negated_conjecture,
( r1_group_2(X1,k8_group_4(X1,esk3_0,esk4_0),k5_group_4(X1,esk6_0))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(esk4_0,X1)
| ~ m1_group_2(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_124,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_3 ).
cnf(c_0_125,negated_conjecture,
l1_group_1(esk1_0),
i_0_13 ).
cnf(c_0_126,negated_conjecture,
v4_group_1(esk1_0),
i_0_14 ).
cnf(c_0_127,negated_conjecture,
v3_group_1(esk1_0),
i_0_15 ).
cnf(c_0_128,negated_conjecture,
m1_group_2(esk4_0,esk1_0),
i_0_7 ).
cnf(c_0_129,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
i_0_8 ).
cnf(c_0_130,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_16 ).
cnf(c_0_131,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_91 ).
cnf(c_0_132,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_90 ).
cnf(c_0_133,plain,
( X1 = X2
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X3)
| ~ m1_group_2(X1,X3)
| ~ r1_group_2(X3,X1,X2) ),
i_0_86 ).
cnf(c_0_134,negated_conjecture,
r1_group_2(esk1_0,k8_group_4(esk1_0,esk3_0,esk4_0),k5_group_4(esk1_0,esk6_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(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128]),c_0_129])]),c_0_130]) ).
cnf(c_0_135,negated_conjecture,
v1_group_1(k5_group_4(esk1_0,esk6_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_131,c_0_124]),c_0_125]),c_0_126]),c_0_127])]),c_0_130]) ).
cnf(c_0_136,negated_conjecture,
m1_group_2(k5_group_4(esk1_0,esk6_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_132,c_0_124]),c_0_125]),c_0_126]),c_0_127])]),c_0_130]) ).
cnf(c_0_137,plain,
( v3_struct_0(X1)
| m1_group_2(k8_group_4(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_92 ).
cnf(c_0_138,plain,
( k8_group_4(esk1_0,esk3_0,esk4_0) = k5_group_4(esk1_0,esk6_0)
| ~ v1_group_1(k8_group_4(esk1_0,esk3_0,esk4_0))
| ~ m1_group_2(k8_group_4(esk1_0,esk3_0,esk4_0),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_125]),c_0_126]),c_0_127]),c_0_135]),c_0_136])]),c_0_130]) ).
cnf(c_0_139,negated_conjecture,
( m1_group_2(k8_group_4(esk1_0,X1,esk4_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_137,c_0_128]),c_0_125]),c_0_126]),c_0_127])]),c_0_130]) ).
cnf(c_0_140,plain,
( v3_struct_0(X1)
| v1_group_1(k8_group_4(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_93 ).
cnf(c_0_141,negated_conjecture,
( k8_group_4(esk1_0,esk3_0,esk4_0) = k5_group_4(esk1_0,esk6_0)
| ~ v1_group_1(k8_group_4(esk1_0,esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_129])]) ).
cnf(c_0_142,negated_conjecture,
( v1_group_1(k8_group_4(esk1_0,X1,esk4_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_140,c_0_128]),c_0_125]),c_0_126]),c_0_127])]),c_0_130]) ).
cnf(c_0_143,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_0))),
i_0_1 ).
cnf(c_0_144,negated_conjecture,
k8_group_4(esk1_0,esk3_0,esk4_0) = k5_group_4(esk1_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_129])]) ).
cnf(c_0_145,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n024.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 22:33:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.71/2.33 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.71/2.33 # No SInE strategy applied
% 7.71/2.33 # Trying AutoSched0 for 150 seconds
% 7.71/2.33 # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 7.71/2.33 # and selection function PSelectComplexExceptRRHorn.
% 7.71/2.33 #
% 7.71/2.33 # Preprocessing time : 0.023 s
% 7.71/2.33 # Presaturation interreduction done
% 7.71/2.33
% 7.71/2.33 # Proof found!
% 7.71/2.33 # SZS status Theorem
% 7.71/2.33 # SZS output start CNFRefutation
% See solution above
% 7.71/2.33 # Training examples: 0 positive, 0 negative
% 7.71/2.33
% 7.71/2.33 # -------------------------------------------------
% 7.71/2.33 # User time : 0.029 s
% 7.71/2.33 # System time : 0.005 s
% 7.71/2.33 # Total time : 0.034 s
% 7.71/2.33 # Maximum resident set size: 7120 pages
% 7.71/2.33
%------------------------------------------------------------------------------