TSTP Solution File: SEU322+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU322+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 : Tue Jul 19 08:40:47 EDT 2022
% Result : Theorem 18.22s 3.68s
% Output : CNFRefutation 18.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of clauses : 55 ( 10 unt; 10 nHn; 48 RR)
% Number of literals : 166 ( 2 equ; 103 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 108 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_89,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ in(X1,subset_complement(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_89) ).
cnf(i_0_45,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_45) ).
cnf(i_0_43,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_43) ).
cnf(i_0_46,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_46) ).
cnf(i_0_87,plain,
( subset(X1,topstr_closure(X2,X1))
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_87) ).
cnf(i_0_51,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_51) ).
cnf(i_0_88,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_88) ).
cnf(i_0_47,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_47) ).
cnf(i_0_67,plain,
( empty_carrier(X1)
| in(X2,X3)
| in(X2,subset_complement(the_carrier(X1),X3))
| ~ one_sorted_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_67) ).
cnf(i_0_83,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_83) ).
cnf(i_0_50,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_50) ).
cnf(i_0_44,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_44) ).
cnf(i_0_52,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_52) ).
cnf(i_0_86,negated_conjecture,
top_str(esk8_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_86) ).
cnf(i_0_92,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_92) ).
cnf(i_0_84,negated_conjecture,
~ subset(interior(esk8_0,esk9_0),esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_84) ).
cnf(i_0_85,negated_conjecture,
element(esk9_0,powerset(the_carrier(esk8_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_85) ).
cnf(i_0_42,plain,
( empty(the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ empty_carrier(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hwr0qlap/input.p',i_0_42) ).
cnf(c_0_111,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ in(X1,subset_complement(X3,X2)) ),
i_0_89 ).
cnf(c_0_112,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_45 ).
cnf(c_0_113,plain,
( subset(subset_complement(X1,X2),X3)
| ~ in(esk1_2(subset_complement(X1,X2),X3),X2)
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,plain,
( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_43 ).
cnf(c_0_115,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_46 ).
cnf(c_0_116,plain,
( subset(X1,topstr_closure(X2,X1))
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
i_0_87 ).
cnf(c_0_117,plain,
( subset(interior(X1,X2),X3)
| ~ in(esk1_2(interior(X1,X2),X3),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( in(X1,topstr_closure(X2,X3))
| ~ in(X1,X3)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( subset(interior(X1,X2),X3)
| ~ in(esk1_2(interior(X1,X2),X3),subset_complement(the_carrier(X1),X2))
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(subset_complement(the_carrier(X1),X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_51 ).
cnf(c_0_121,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_88 ).
cnf(c_0_122,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_47 ).
cnf(c_0_123,plain,
( subset(interior(X1,X2),X3)
| ~ in(esk1_2(interior(X1,X2),X3),subset_complement(the_carrier(X1),X2))
| ~ element(subset_complement(the_carrier(X1),X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,plain,
( empty_carrier(X1)
| in(X2,X3)
| in(X2,subset_complement(the_carrier(X1),X3))
| ~ one_sorted_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_67 ).
cnf(c_0_125,plain,
( element(X1,the_carrier(X2))
| ~ in(X1,interior(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
i_0_83 ).
cnf(c_0_127,plain,
( in(esk1_2(interior(X1,X2),X3),X2)
| empty_carrier(X1)
| subset(interior(X1,X2),X3)
| ~ element(subset_complement(the_carrier(X1),X2),powerset(the_carrier(X1)))
| ~ element(esk1_2(interior(X1,X2),X3),the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( element(esk1_2(interior(X1,X2),X3),the_carrier(X1))
| subset(interior(X1,X2),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_112]) ).
cnf(c_0_129,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
inference(spm,[status(thm)],[c_0_115,c_0_126]) ).
cnf(c_0_130,plain,
( in(esk1_2(interior(X1,X2),X3),X2)
| empty_carrier(X1)
| subset(interior(X1,X2),X3)
| ~ element(subset_complement(the_carrier(X1),X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_50 ).
cnf(c_0_132,plain,
( in(X1,the_carrier(X2))
| ~ in(X1,interior(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_122]) ).
cnf(c_0_133,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_44 ).
cnf(c_0_134,plain,
( in(esk1_2(interior(X1,X2),X3),X2)
| empty_carrier(X1)
| subset(interior(X1,X2),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
i_0_52 ).
cnf(c_0_136,negated_conjecture,
top_str(esk8_0),
i_0_86 ).
cnf(c_0_137,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_92 ).
cnf(c_0_138,plain,
( in(esk1_2(interior(X1,X2),X3),the_carrier(X1))
| subset(interior(X1,X2),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_112]) ).
cnf(c_0_139,negated_conjecture,
~ subset(interior(esk8_0,esk9_0),esk9_0),
i_0_84 ).
cnf(c_0_140,plain,
( empty_carrier(X1)
| subset(interior(X1,X2),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
element(esk9_0,powerset(the_carrier(esk8_0))),
i_0_85 ).
cnf(c_0_142,negated_conjecture,
one_sorted_str(esk8_0),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,plain,
( subset(interior(X1,X2),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,plain,
( empty(the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ empty_carrier(X1) ),
i_0_42 ).
cnf(c_0_145,negated_conjecture,
empty_carrier(esk8_0),
inference(cn,[status(thm)],[inference(rw,[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_136]),c_0_142])]) ).
cnf(c_0_146,negated_conjecture,
~ empty(the_carrier(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_143]),c_0_141]),c_0_136])]) ).
cnf(c_0_147,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_142])]),c_0_146]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU322+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n009.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 20 02:47:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 18.22/3.68 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.22/3.68 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 41; version: 991; iters: 150)
% 18.22/3.68 # Preprocessing time : 1.238 s
% 18.22/3.68 # Presaturation interreduction done
% 18.22/3.68
% 18.22/3.68 # Proof found!
% 18.22/3.68 # SZS status Theorem
% 18.22/3.68 # SZS output start CNFRefutation
% See solution above
% 18.22/3.68 # Training examples: 0 positive, 0 negative
% 18.22/3.68
% 18.22/3.68 # -------------------------------------------------
% 18.22/3.68 # User time : 1.161 s
% 18.22/3.68 # System time : 0.140 s
% 18.22/3.68 # Total time : 1.301 s
% 18.22/3.68 # ...preprocessing : 1.238 s
% 18.22/3.68 # ...main loop : 0.062 s
% 18.22/3.68 # Maximum resident set size: 187640 pages
% 18.22/3.68
%------------------------------------------------------------------------------