TSTP Solution File: LAT288+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT288+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 : Sun Jul 17 04:28:54 EDT 2022
% Result : Theorem 8.45s 2.34s
% Output : CNFRefutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 25 unt; 13 nHn; 38 RR)
% Number of literals : 119 ( 7 equ; 63 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
~ r1_tarski(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_1) ).
cnf(i_0_85,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_85) ).
cnf(i_0_124,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_filter_0(esk11_3(X2,X1,X3),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_124) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
v17_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_6) ).
cnf(i_0_4,negated_conjecture,
~ v3_realset2(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_4) ).
cnf(i_0_7,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_7) ).
cnf(i_0_125,plain,
( esk11_3(X1,X2,X3) = X1
| v3_struct_0(X2)
| v3_realset2(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_125) ).
cnf(i_0_126,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m1_filter_0(esk11_3(X2,X1,X3),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_126) ).
cnf(i_0_87,plain,
( k7_lopclset(X1) = a_1_1_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_87) ).
cnf(i_0_118,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,a_1_1_lopclset(X1))
| X3 != X2
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ v1_filter_0(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_118) ).
cnf(i_0_84,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_v9zg6q0/input.p',i_0_84) ).
cnf(c_0_141,negated_conjecture,
~ r1_tarski(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),
i_0_1 ).
cnf(c_0_142,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1) ),
i_0_85 ).
cnf(c_0_143,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_filter_0(esk11_3(X2,X1,X3),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
i_0_124 ).
cnf(c_0_144,negated_conjecture,
r2_hidden(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),a_2_0_lopclset(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_145,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_2 ).
cnf(c_0_146,negated_conjecture,
l3_lattices(esk1_0),
i_0_3 ).
cnf(c_0_147,negated_conjecture,
v17_lattices(esk1_0),
i_0_5 ).
cnf(c_0_148,negated_conjecture,
v10_lattices(esk1_0),
i_0_6 ).
cnf(c_0_149,negated_conjecture,
~ v3_realset2(esk1_0),
i_0_4 ).
cnf(c_0_150,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_7 ).
cnf(c_0_151,plain,
( esk11_3(X1,X2,X3) = X1
| v3_struct_0(X2)
| v3_realset2(X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
i_0_125 ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m1_filter_0(esk11_3(X2,X1,X3),X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
i_0_126 ).
cnf(c_0_153,plain,
v1_filter_0(esk11_3(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),esk1_0,esk2_0),esk1_0),
inference(sr,[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(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_154,plain,
esk11_3(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),esk1_0,esk2_0) = esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),
inference(sr,[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(spm,[status(thm)],[c_0_151,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_155,plain,
( k7_lopclset(X1) = a_1_1_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_87 ).
cnf(c_0_156,plain,
m1_filter_0(esk11_3(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),esk1_0,esk2_0),esk1_0),
inference(sr,[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(spm,[status(thm)],[c_0_152,c_0_144]),c_0_145]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_157,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,a_1_1_lopclset(X1))
| X3 != X2
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X3,X1)
| ~ v1_filter_0(X3,X1) ),
i_0_118 ).
cnf(c_0_158,plain,
v1_filter_0(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),esk1_0),
inference(rw,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
~ r1_tarski(a_2_0_lopclset(esk1_0,esk2_0),a_1_1_lopclset(esk1_0)),
inference(sr,[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_141,c_0_155]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_160,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk3_2(X1,X2),X2) ),
i_0_84 ).
cnf(c_0_161,plain,
m1_filter_0(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),k7_lopclset(esk1_0)),esk1_0),
inference(rw,[status(thm)],[c_0_156,c_0_154]) ).
cnf(c_0_162,plain,
( r2_hidden(X1,a_1_1_lopclset(X2))
| v3_realset2(X2)
| v3_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2) ),
inference(er,[status(thm)],[c_0_157]) ).
cnf(c_0_163,plain,
v1_filter_0(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),a_1_1_lopclset(esk1_0)),esk1_0),
inference(sr,[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_158,c_0_155]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_164,plain,
~ r2_hidden(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),a_1_1_lopclset(esk1_0)),a_1_1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,plain,
m1_filter_0(esk3_2(a_2_0_lopclset(esk1_0,esk2_0),a_1_1_lopclset(esk1_0)),esk1_0),
inference(sr,[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_161,c_0_155]),c_0_146]),c_0_147]),c_0_148])]),c_0_149]),c_0_150]) ).
cnf(c_0_166,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[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_162,c_0_163]),c_0_146]),c_0_147]),c_0_148])]),c_0_164]),c_0_149]),c_0_150]),c_0_165])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT288+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.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 : Tue Jun 28 18:42:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.45/2.34 # ENIGMATIC: Solved by autoschedule:
% 8.45/2.34 # No SInE strategy applied
% 8.45/2.34 # Trying AutoSched0 for 150 seconds
% 8.45/2.34 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 8.45/2.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.45/2.34 #
% 8.45/2.34 # Preprocessing time : 0.026 s
% 8.45/2.34 # Presaturation interreduction done
% 8.45/2.34
% 8.45/2.34 # Proof found!
% 8.45/2.34 # SZS status Theorem
% 8.45/2.34 # SZS output start CNFRefutation
% See solution above
% 8.45/2.34 # Training examples: 0 positive, 0 negative
% 8.45/2.34
% 8.45/2.34 # -------------------------------------------------
% 8.45/2.34 # User time : 0.110 s
% 8.45/2.34 # System time : 0.007 s
% 8.45/2.34 # Total time : 0.117 s
% 8.45/2.34 # Maximum resident set size: 7124 pages
% 8.45/2.34
%------------------------------------------------------------------------------