TSTP Solution File: GRP623+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:39:33 EDT 2022
% Result : Theorem 7.83s 2.44s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 17 unt; 15 nHn; 45 RR)
% Number of literals : 118 ( 0 equ; 63 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 58 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_60,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_60) ).
cnf(i_0_37,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_37) ).
cnf(i_0_36,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_36) ).
cnf(i_0_2,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_6) ).
cnf(i_0_102,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_102) ).
cnf(i_0_107,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_107) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_32) ).
cnf(i_0_103,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_103) ).
cnf(i_0_40,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_40) ).
cnf(i_0_109,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_109) ).
cnf(i_0_27,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_27) ).
cnf(i_0_108,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_108) ).
cnf(i_0_28,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_28) ).
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-85non20c/input.p',i_0_1) ).
cnf(c_0_128,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_60 ).
cnf(c_0_129,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_37 ).
cnf(c_0_130,plain,
( v3_struct_0(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_36 ).
cnf(c_0_131,negated_conjecture,
l1_group_1(esk1_0),
i_0_2 ).
cnf(c_0_132,negated_conjecture,
v4_group_1(esk1_0),
i_0_3 ).
cnf(c_0_133,negated_conjecture,
v3_group_1(esk1_0),
i_0_4 ).
cnf(c_0_134,negated_conjecture,
v1_group_1(esk1_0),
i_0_5 ).
cnf(c_0_135,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_136,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_137,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_102 ).
cnf(c_0_138,negated_conjecture,
m1_fraenkel(k4_autgroup(esk1_0),u1_struct_0(esk1_0),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_130,c_0_131]),c_0_132]),c_0_133]),c_0_134])]),c_0_135]) ).
cnf(c_0_139,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_131])]) ).
cnf(c_0_140,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
i_0_107 ).
cnf(c_0_141,plain,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k4_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_142,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
i_0_32 ).
cnf(c_0_143,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_103 ).
cnf(c_0_144,plain,
( m2_fraenkel(X1,u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(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(spm,[status(thm)],[c_0_140,c_0_141]),c_0_131]),c_0_132]),c_0_133]),c_0_134])]),c_0_135]) ).
cnf(c_0_145,negated_conjecture,
m1_fraenkel(k1_autgroup(esk1_0),u1_struct_0(esk1_0),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_142,c_0_131]),c_0_132]),c_0_133]),c_0_134])]),c_0_135]) ).
cnf(c_0_146,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_40 ).
cnf(c_0_147,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_109 ).
cnf(c_0_148,plain,
( m1_subset_1(X1,k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]),c_0_139]) ).
cnf(c_0_149,plain,
~ v1_xboole_0(k1_autgroup(esk1_0)),
inference(spm,[status(thm)],[c_0_146,c_0_145]) ).
cnf(c_0_150,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk2_2(X1,X2),X2) ),
i_0_27 ).
cnf(c_0_151,plain,
( r2_hidden(X1,k1_autgroup(esk1_0))
| ~ m1_subset_1(X1,k4_autgroup(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_152,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_108 ).
cnf(c_0_153,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk2_2(X1,X2),X1) ),
i_0_28 ).
cnf(c_0_154,plain,
( r1_tarski(X1,k1_autgroup(esk1_0))
| ~ m1_subset_1(esk2_2(X1,k1_autgroup(esk1_0)),k4_autgroup(esk1_0)) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,plain,
( m1_subset_1(esk2_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),
i_0_1 ).
cnf(c_0_157,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 00:44:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 7.83/2.44 # ENIGMATIC: Solved by autoschedule:
% 7.83/2.44 # No SInE strategy applied
% 7.83/2.44 # Trying AutoSched0 for 150 seconds
% 7.83/2.44 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.83/2.44 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.83/2.44 #
% 7.83/2.44 # Preprocessing time : 0.027 s
% 7.83/2.44 # Presaturation interreduction done
% 7.83/2.44
% 7.83/2.44 # Proof found!
% 7.83/2.44 # SZS status Theorem
% 7.83/2.44 # SZS output start CNFRefutation
% See solution above
% 7.83/2.44 # Training examples: 0 positive, 0 negative
% 7.83/2.44
% 7.83/2.44 # -------------------------------------------------
% 7.83/2.44 # User time : 0.053 s
% 7.83/2.44 # System time : 0.006 s
% 7.83/2.44 # Total time : 0.059 s
% 7.83/2.44 # Maximum resident set size: 7120 pages
% 7.83/2.44
%------------------------------------------------------------------------------