%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM396+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 : Mon Jul 18 08:35:40 EDT 2022
% Result : Theorem 22.86s 4.20s
% Output : CNFRefutation 22.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 72 ( 14 unt; 29 nHn; 44 RR)
% Number of literals : 189 ( 33 equ; 61 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 104 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_27) ).
cnf(i_0_32,plain,
( epsilon_connected(X1)
| in(esk4_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_32) ).
cnf(i_0_33,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ epsilon_connected(X3)
| ~ in(X2,X3)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_33) ).
cnf(i_0_31,plain,
( epsilon_connected(X1)
| in(esk5_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_31) ).
cnf(i_0_3,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_3) ).
cnf(i_0_94,negated_conjecture,
ordinal(esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_94) ).
cnf(i_0_30,plain,
( epsilon_connected(X1)
| ~ in(esk4_1(X1),esk5_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_30) ).
cnf(i_0_18,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_18) ).
cnf(i_0_28,plain,
( epsilon_connected(X1)
| ~ in(esk5_1(X1),esk4_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_28) ).
cnf(i_0_13,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_13) ).
cnf(i_0_92,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_92) ).
cnf(i_0_102,plain,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_102) ).
cnf(i_0_29,plain,
( epsilon_connected(X1)
| esk5_1(X1) != esk4_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_29) ).
cnf(i_0_19,plain,
( epsilon_transitive(X1)
| ~ subset(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_19) ).
cnf(i_0_20,plain,
( epsilon_transitive(X1)
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_20) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_21) ).
cnf(i_0_9,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_9) ).
cnf(i_0_93,negated_conjecture,
~ ordinal(set_union2(esk19_0,singleton(esk19_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_93) ).
cnf(i_0_89,plain,
subset(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_89) ).
cnf(i_0_4,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-91ul1i9u/input.p',i_0_4) ).
cnf(c_0_123,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
i_0_27 ).
cnf(c_0_124,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_123]) ).
cnf(c_0_125,plain,
( epsilon_connected(X1)
| in(esk4_1(X1),X1) ),
i_0_32 ).
cnf(c_0_126,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ epsilon_connected(X3)
| ~ in(X2,X3)
| ~ in(X1,X3) ),
i_0_33 ).
cnf(c_0_127,plain,
( in(esk4_1(set_union2(X1,X2)),X1)
| in(esk4_1(set_union2(X1,X2)),X2)
| epsilon_connected(set_union2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,plain,
( epsilon_connected(X1)
| in(esk5_1(X1),X1) ),
i_0_31 ).
cnf(c_0_129,plain,
( X1 = esk4_1(set_union2(X2,X3))
| in(esk4_1(set_union2(X2,X3)),X1)
| in(X1,esk4_1(set_union2(X2,X3)))
| in(esk4_1(set_union2(X2,X3)),X2)
| epsilon_connected(set_union2(X2,X3))
| ~ in(X1,X3)
| ~ epsilon_connected(X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_130,plain,
( in(esk5_1(set_union2(X1,X2)),X1)
| in(esk5_1(set_union2(X1,X2)),X2)
| epsilon_connected(set_union2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_124,c_0_128]) ).
cnf(c_0_131,plain,
( epsilon_connected(X1)
| ~ ordinal(X1) ),
i_0_3 ).
cnf(c_0_132,negated_conjecture,
ordinal(esk19_0),
i_0_94 ).
cnf(c_0_133,plain,
( esk5_1(set_union2(X1,X2)) = esk4_1(set_union2(X3,X2))
| in(esk4_1(set_union2(X3,X2)),esk5_1(set_union2(X1,X2)))
| in(esk5_1(set_union2(X1,X2)),esk4_1(set_union2(X3,X2)))
| in(esk4_1(set_union2(X3,X2)),X3)
| in(esk5_1(set_union2(X1,X2)),X1)
| epsilon_connected(set_union2(X3,X2))
| epsilon_connected(set_union2(X1,X2))
| ~ epsilon_connected(X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_134,negated_conjecture,
epsilon_connected(esk19_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,plain,
( epsilon_connected(X1)
| ~ in(esk4_1(X1),esk5_1(X1)) ),
i_0_30 ).
cnf(c_0_136,negated_conjecture,
( esk5_1(set_union2(X1,esk19_0)) = esk4_1(set_union2(X2,esk19_0))
| in(esk4_1(set_union2(X2,esk19_0)),esk5_1(set_union2(X1,esk19_0)))
| in(esk5_1(set_union2(X1,esk19_0)),esk4_1(set_union2(X2,esk19_0)))
| in(esk4_1(set_union2(X2,esk19_0)),X2)
| in(esk5_1(set_union2(X1,esk19_0)),X1)
| epsilon_connected(set_union2(X2,esk19_0))
| epsilon_connected(set_union2(X1,esk19_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_18 ).
cnf(c_0_138,plain,
( epsilon_connected(X1)
| ~ in(esk5_1(X1),esk4_1(X1)) ),
i_0_28 ).
cnf(c_0_139,plain,
( esk4_1(set_union2(X1,esk19_0)) = esk5_1(set_union2(X1,esk19_0))
| in(esk5_1(set_union2(X1,esk19_0)),esk4_1(set_union2(X1,esk19_0)))
| in(esk4_1(set_union2(X1,esk19_0)),X1)
| in(esk5_1(set_union2(X1,esk19_0)),X1)
| epsilon_connected(set_union2(X1,esk19_0)) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_140,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_137]) ).
cnf(c_0_141,plain,
( esk4_1(set_union2(X1,esk19_0)) = esk5_1(set_union2(X1,esk19_0))
| in(esk4_1(set_union2(X1,esk19_0)),X1)
| in(esk5_1(set_union2(X1,esk19_0)),X1)
| epsilon_connected(set_union2(X1,esk19_0)) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_142,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_13 ).
cnf(c_0_143,plain,
( esk4_1(set_union2(esk19_0,singleton(X1))) = esk5_1(set_union2(esk19_0,singleton(X1)))
| esk4_1(set_union2(esk19_0,singleton(X1))) = X1
| in(esk5_1(set_union2(esk19_0,singleton(X1))),singleton(X1))
| epsilon_connected(set_union2(esk19_0,singleton(X1))) ),
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_140,c_0_141]),c_0_142]),c_0_142]),c_0_142]),c_0_142]),c_0_142]) ).
cnf(c_0_144,plain,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
i_0_92 ).
cnf(c_0_145,plain,
subset(X1,set_union2(X1,X2)),
i_0_102 ).
cnf(c_0_146,plain,
( epsilon_connected(X1)
| esk5_1(X1) != esk4_1(X1) ),
i_0_29 ).
cnf(c_0_147,plain,
( esk4_1(set_union2(esk19_0,singleton(X1))) = esk5_1(set_union2(esk19_0,singleton(X1)))
| esk5_1(set_union2(esk19_0,singleton(X1))) = X1
| esk4_1(set_union2(esk19_0,singleton(X1))) = X1
| epsilon_connected(set_union2(esk19_0,singleton(X1))) ),
inference(spm,[status(thm)],[c_0_140,c_0_143]) ).
cnf(c_0_148,plain,
( epsilon_transitive(X1)
| ~ subset(esk2_1(X1),X1) ),
i_0_19 ).
cnf(c_0_149,plain,
( subset(X1,set_union2(X2,X3))
| ~ subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,plain,
( epsilon_transitive(X1)
| in(esk2_1(X1),X1) ),
i_0_20 ).
cnf(c_0_151,plain,
( esk5_1(set_union2(esk19_0,singleton(X1))) = X1
| esk4_1(set_union2(esk19_0,singleton(X1))) = X1
| epsilon_connected(set_union2(esk19_0,singleton(X1))) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,plain,
( epsilon_transitive(set_union2(X1,X2))
| ~ subset(esk2_1(set_union2(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_153,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_21 ).
cnf(c_0_154,plain,
( in(esk2_1(set_union2(X1,X2)),X1)
| in(esk2_1(set_union2(X1,X2)),X2)
| epsilon_transitive(set_union2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_124,c_0_150]) ).
cnf(c_0_155,plain,
( esk5_1(set_union2(esk19_0,singleton(X1))) = X1
| epsilon_connected(set_union2(esk19_0,singleton(X1)))
| ~ in(esk5_1(set_union2(esk19_0,singleton(X1))),X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_151]) ).
cnf(c_0_156,plain,
( esk5_1(set_union2(X1,singleton(X2))) = X2
| in(esk5_1(set_union2(X1,singleton(X2))),X1)
| epsilon_connected(set_union2(X1,singleton(X2))) ),
inference(spm,[status(thm)],[c_0_140,c_0_130]) ).
cnf(c_0_157,plain,
( epsilon_transitive(set_union2(X1,X2))
| ~ in(esk2_1(set_union2(X1,X2)),X1)
| ~ epsilon_transitive(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_158,plain,
( esk2_1(set_union2(X1,singleton(X2))) = X2
| in(esk2_1(set_union2(X1,singleton(X2))),X1)
| epsilon_transitive(set_union2(X1,singleton(X2))) ),
inference(spm,[status(thm)],[c_0_140,c_0_154]) ).
cnf(c_0_159,plain,
( esk5_1(set_union2(esk19_0,singleton(esk19_0))) = esk19_0
| epsilon_connected(set_union2(esk19_0,singleton(esk19_0))) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_160,plain,
( esk2_1(set_union2(X1,singleton(X2))) = X2
| epsilon_transitive(set_union2(X1,singleton(X2)))
| ~ epsilon_transitive(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,plain,
( epsilon_connected(set_union2(esk19_0,singleton(esk19_0)))
| ~ in(esk4_1(set_union2(esk19_0,singleton(esk19_0))),esk19_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_159]) ).
cnf(c_0_162,plain,
( esk4_1(set_union2(X1,singleton(X2))) = X2
| in(esk4_1(set_union2(X1,singleton(X2))),X1)
| epsilon_connected(set_union2(X1,singleton(X2))) ),
inference(spm,[status(thm)],[c_0_140,c_0_127]) ).
cnf(c_0_163,plain,
( ordinal(X1)
| ~ epsilon_transitive(X1)
| ~ epsilon_connected(X1) ),
i_0_9 ).
cnf(c_0_164,plain,
( epsilon_transitive(set_union2(X1,singleton(X2)))
| ~ subset(X2,X1)
| ~ epsilon_transitive(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_160]) ).
cnf(c_0_165,plain,
( esk4_1(set_union2(esk19_0,singleton(esk19_0))) = esk19_0
| epsilon_connected(set_union2(esk19_0,singleton(esk19_0))) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,negated_conjecture,
~ ordinal(set_union2(esk19_0,singleton(esk19_0))),
i_0_93 ).
cnf(c_0_167,plain,
( ordinal(set_union2(X1,singleton(X2)))
| ~ subset(X2,X1)
| ~ epsilon_connected(set_union2(X1,singleton(X2)))
| ~ epsilon_transitive(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,plain,
subset(X1,X1),
i_0_89 ).
cnf(c_0_169,plain,
( epsilon_connected(set_union2(esk19_0,singleton(esk19_0)))
| esk5_1(set_union2(esk19_0,singleton(esk19_0))) != esk19_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_165]) ).
cnf(c_0_170,negated_conjecture,
( ~ epsilon_connected(set_union2(esk19_0,singleton(esk19_0)))
| ~ epsilon_transitive(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]) ).
cnf(c_0_171,plain,
epsilon_connected(set_union2(esk19_0,singleton(esk19_0))),
inference(spm,[status(thm)],[c_0_169,c_0_159]) ).
cnf(c_0_172,negated_conjecture,
~ epsilon_transitive(esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_173,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_4 ).
cnf(c_0_174,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_132])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM396+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 Jul 5 02:54:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 22.86/4.20 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 22.86/4.20 # 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: 34; version: 991; iters: 150)
% 22.86/4.20 # Preprocessing time : 1.183 s
% 22.86/4.20 # Presaturation interreduction done
% 22.86/4.20
% 22.86/4.20 # Proof found!
% 22.86/4.20 # SZS status Theorem
% 22.86/4.20 # SZS output start CNFRefutation
% See solution above
% 22.86/4.20 # Training examples: 0 positive, 0 negative
% 22.86/4.20
% 22.86/4.20 # -------------------------------------------------
% 22.86/4.20 # User time : 1.821 s
% 22.86/4.20 # System time : 0.137 s
% 22.86/4.20 # Total time : 1.958 s
% 22.86/4.20 # ...preprocessing : 1.183 s
% 22.86/4.20 # ...main loop : 0.774 s
% 22.86/4.20 # Maximum resident set size: 188080 pages
% 22.86/4.20
%------------------------------------------------------------------------------