TSTP Solution File: LAT305+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 04:29:15 EDT 2022
% Result : Theorem 7.80s 2.35s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 48 ( 12 unt; 22 nHn; 48 RR)
% Number of literals : 204 ( 6 equ; 148 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 57 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
( ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_1) ).
cnf(i_0_24,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(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-w96xd40w/input.p',i_0_24) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_3) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_6) ).
cnf(i_0_28,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_28) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_5) ).
cnf(i_0_84,plain,
( v3_struct_0(X1)
| r2_hidden(X2,a_2_0_filter_2(X1,X3))
| X4 != X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_84) ).
cnf(i_0_116,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_116) ).
cnf(i_0_121,plain,
( v3_struct_0(X1)
| r1_lattices(X1,k4_lattices(X1,X2,X3),X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(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-w96xd40w/input.p',i_0_121) ).
cnf(i_0_39,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(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-w96xd40w/input.p',i_0_39) ).
cnf(i_0_119,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(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-w96xd40w/input.p',i_0_119) ).
cnf(i_0_9,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_9) ).
cnf(i_0_10,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_10) ).
cnf(i_0_12,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_12) ).
cnf(i_0_45,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w96xd40w/input.p',i_0_45) ).
cnf(c_0_139,negated_conjecture,
( ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ),
i_0_1 ).
cnf(c_0_140,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_24 ).
cnf(c_0_141,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
i_0_2 ).
cnf(c_0_142,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_3 ).
cnf(c_0_143,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_144,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_145,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_146,negated_conjecture,
l3_lattices(esk1_0),
i_0_4 ).
cnf(c_0_147,negated_conjecture,
v10_lattices(esk1_0),
i_0_5 ).
cnf(c_0_148,plain,
( v3_struct_0(X1)
| r2_hidden(X2,a_2_0_filter_2(X1,X3))
| X4 != X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
i_0_84 ).
cnf(c_0_149,plain,
( ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(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_144,c_0_145]),c_0_142]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_150,plain,
( r2_hidden(X1,a_2_0_filter_2(X2,X3))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(er,[status(thm)],[c_0_148]) ).
cnf(c_0_151,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_116 ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| r1_lattices(X1,k4_lattices(X1,X2,X3),X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_121 ).
cnf(c_0_153,plain,
( ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_lattices(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_149,c_0_150]),c_0_142]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_154,plain,
( r3_lattices(X1,k4_lattices(X1,X2,X3),X2)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,plain,
( ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_lattices(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_153,c_0_154]),c_0_142]),c_0_141]),c_0_146])]),c_0_143]) ).
cnf(c_0_156,plain,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_lattices(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_155,c_0_150]),c_0_142]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_157,plain,
( v3_struct_0(X1)
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_39 ).
cnf(c_0_158,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X2)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_119 ).
cnf(c_0_159,plain,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_141]),c_0_142])]),c_0_143]) ).
cnf(c_0_160,negated_conjecture,
( r3_lattices(esk1_0,X1,X1)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(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_158,c_0_141]),c_0_146])]),c_0_143]) ).
cnf(c_0_161,negated_conjecture,
( ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_142])]) ).
cnf(c_0_162,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_9 ).
cnf(c_0_163,plain,
( ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_164,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_10 ).
cnf(c_0_165,plain,
( ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_166,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_12 ).
cnf(c_0_167,plain,
~ l1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_146]),c_0_147])]),c_0_143]) ).
cnf(c_0_168,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_45 ).
cnf(c_0_169,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_146])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 29 16:27:00 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.39 # ENIGMATIC: Selected complete mode:
% 7.80/2.35 # ENIGMATIC: Solved by autoschedule:
% 7.80/2.35 # No SInE strategy applied
% 7.80/2.35 # Trying AutoSched0 for 150 seconds
% 7.80/2.35 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.80/2.35 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.80/2.35 #
% 7.80/2.35 # Preprocessing time : 0.018 s
% 7.80/2.35
% 7.80/2.35 # Proof found!
% 7.80/2.35 # SZS status Theorem
% 7.80/2.35 # SZS output start CNFRefutation
% See solution above
% 7.80/2.35 # Training examples: 0 positive, 0 negative
% 7.80/2.35
% 7.80/2.35 # -------------------------------------------------
% 7.80/2.35 # User time : 0.032 s
% 7.80/2.35 # System time : 0.010 s
% 7.80/2.35 # Total time : 0.042 s
% 7.80/2.35 # Maximum resident set size: 7124 pages
% 7.80/2.35
%------------------------------------------------------------------------------