TSTP Solution File: SEU146+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU146+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:38:50 EDT 2022
% Result : Theorem 8.62s 2.46s
% Output : CNFRefutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of clauses : 87 ( 50 unt; 15 nHn; 33 RR)
% Number of literals : 134 ( 80 equ; 31 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_79) ).
cnf(i_0_88,plain,
set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_88) ).
cnf(i_0_102,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_102) ).
cnf(i_0_68,plain,
empty(esk10_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_68) ).
cnf(i_0_72,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_72) ).
cnf(i_0_84,lemma,
subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_84) ).
cnf(i_0_4,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_4) ).
cnf(i_0_104,lemma,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_104) ).
cnf(i_0_75,plain,
set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_75) ).
cnf(i_0_85,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_85) ).
cnf(i_0_83,lemma,
( subset(set_difference(X1,X2),set_difference(X3,X2))
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_83) ).
cnf(i_0_87,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_87) ).
cnf(i_0_5,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_5) ).
cnf(i_0_93,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_93) ).
cnf(i_0_18,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_18) ).
cnf(i_0_65,negated_conjecture,
( esk8_0 = empty_set
| unordered_pair(esk9_0,esk9_0) = esk8_0
| subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_65) ).
cnf(i_0_60,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_60) ).
cnf(i_0_64,lemma,
( in(X1,X2)
| subset(X2,set_difference(X3,unordered_pair(X1,X1)))
| ~ subset(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_64) ).
cnf(i_0_70,plain,
subset(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_70) ).
cnf(i_0_66,negated_conjecture,
( unordered_pair(esk9_0,esk9_0) != esk8_0
| ~ subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_66) ).
cnf(i_0_92,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_92) ).
cnf(i_0_67,negated_conjecture,
( esk8_0 != empty_set
| ~ subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_67) ).
cnf(i_0_82,lemma,
subset(empty_set,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fzz7q1jn/lgb.p',i_0_82) ).
cnf(c_0_128,plain,
set_difference(X1,set_difference(X1,empty_set)) = empty_set,
i_0_79 ).
cnf(c_0_129,plain,
set_difference(X1,empty_set) = X1,
i_0_88 ).
cnf(c_0_130,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_102 ).
cnf(c_0_131,plain,
empty(esk10_0),
i_0_68 ).
cnf(c_0_132,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
i_0_72 ).
cnf(c_0_133,lemma,
subset(set_difference(X1,X2),X1),
i_0_84 ).
cnf(c_0_134,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_4 ).
cnf(c_0_135,lemma,
subset(X1,set_union2(X1,X2)),
i_0_104 ).
cnf(c_0_136,plain,
set_difference(X1,X1) = empty_set,
inference(rw,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_137,plain,
empty_set = esk10_0,
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,plain,
set_union2(X1,empty_set) = X1,
i_0_75 ).
cnf(c_0_139,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
i_0_85 ).
cnf(c_0_140,lemma,
( subset(set_difference(X1,X2),set_difference(X3,X2))
| ~ subset(X1,X3) ),
i_0_83 ).
cnf(c_0_141,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
i_0_87 ).
cnf(c_0_142,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
i_0_5 ).
cnf(c_0_143,lemma,
set_union2(X1,set_difference(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_144,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
i_0_93 ).
cnf(c_0_145,lemma,
set_union2(X1,set_union2(X1,X2)) = set_union2(X1,X2),
inference(spm,[status(thm)],[c_0_132,c_0_135]) ).
cnf(c_0_146,plain,
set_difference(X1,X1) = esk10_0,
inference(rw,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_147,plain,
set_union2(X1,esk10_0) = X1,
inference(rw,[status(thm)],[c_0_138,c_0_137]) ).
cnf(c_0_148,lemma,
( set_difference(X1,X2) = esk10_0
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[c_0_139,c_0_137]) ).
cnf(c_0_149,lemma,
subset(set_difference(set_difference(X1,X2),X3),set_difference(X1,X3)),
inference(spm,[status(thm)],[c_0_140,c_0_133]) ).
cnf(c_0_150,lemma,
set_union2(set_difference(X1,X2),set_difference(X2,set_difference(X2,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_134]),c_0_143]) ).
cnf(c_0_151,plain,
set_difference(set_union2(X1,X2),X1) = set_difference(X2,X1),
inference(spm,[status(thm)],[c_0_144,c_0_134]) ).
cnf(c_0_152,lemma,
set_difference(X1,set_union2(X1,X2)) = esk10_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_153,lemma,
set_difference(set_union2(X1,X2),set_difference(X2,X1)) = set_difference(X1,set_difference(X2,X1)),
inference(spm,[status(thm)],[c_0_144,c_0_141]) ).
cnf(c_0_154,plain,
set_union2(esk10_0,X1) = X1,
inference(spm,[status(thm)],[c_0_134,c_0_147]) ).
cnf(c_0_155,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
i_0_18 ).
cnf(c_0_156,lemma,
set_difference(set_difference(set_difference(X1,X2),X3),set_difference(X1,X3)) = esk10_0,
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_157,plain,
set_difference(X1,esk10_0) = X1,
inference(rw,[status(thm)],[c_0_129,c_0_137]) ).
cnf(c_0_158,plain,
set_difference(X1,set_difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_159,negated_conjecture,
( esk8_0 = empty_set
| unordered_pair(esk9_0,esk9_0) = esk8_0
| subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
i_0_65 ).
cnf(c_0_160,plain,
( in(X1,X2)
| X2 != unordered_pair(X3,X1) ),
inference(er,[status(thm)],[c_0_155]) ).
cnf(c_0_161,lemma,
set_difference(set_difference(X1,X2),set_union2(X1,X3)) = esk10_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_152]),c_0_157]) ).
cnf(c_0_162,lemma,
set_difference(set_union2(X1,X2),set_difference(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_153,c_0_158]) ).
cnf(c_0_163,negated_conjecture,
( unordered_pair(esk9_0,esk9_0) = esk8_0
| esk8_0 = esk10_0
| subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
inference(rw,[status(thm)],[c_0_159,c_0_137]) ).
cnf(c_0_164,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
i_0_60 ).
cnf(c_0_165,plain,
in(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[c_0_160]) ).
cnf(c_0_166,lemma,
set_difference(X1,set_union2(set_union2(X1,X2),X3)) = esk10_0,
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_167,lemma,
( set_union2(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk9_0,esk9_0)
| unordered_pair(esk9_0,esk9_0) = esk8_0
| esk8_0 = esk10_0 ),
inference(spm,[status(thm)],[c_0_132,c_0_163]) ).
cnf(c_0_168,lemma,
subset(unordered_pair(X1,X1),unordered_pair(X2,X1)),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_169,lemma,
( set_difference(esk8_0,set_union2(unordered_pair(esk9_0,esk9_0),X1)) = esk10_0
| unordered_pair(esk9_0,esk9_0) = esk8_0
| esk8_0 = esk10_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,lemma,
set_union2(unordered_pair(X1,X1),unordered_pair(X2,X1)) = unordered_pair(X2,X1),
inference(spm,[status(thm)],[c_0_132,c_0_168]) ).
cnf(c_0_171,lemma,
( in(X1,X2)
| subset(X2,set_difference(X3,unordered_pair(X1,X1)))
| ~ subset(X2,X3) ),
i_0_64 ).
cnf(c_0_172,plain,
subset(X1,X1),
i_0_70 ).
cnf(c_0_173,negated_conjecture,
( unordered_pair(esk9_0,esk9_0) != esk8_0
| ~ subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
i_0_66 ).
cnf(c_0_174,lemma,
( set_difference(esk8_0,unordered_pair(X1,esk9_0)) = esk10_0
| unordered_pair(esk9_0,esk9_0) = esk8_0
| esk8_0 = esk10_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,lemma,
( X1 = empty_set
| ~ subset(X1,empty_set) ),
i_0_92 ).
cnf(c_0_176,plain,
( in(X1,X2)
| subset(X2,set_difference(X2,unordered_pair(X1,X1))) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,negated_conjecture,
( set_difference(esk8_0,unordered_pair(X1,esk9_0)) = esk10_0
| esk8_0 = esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_172])]) ).
cnf(c_0_178,lemma,
( X1 = esk10_0
| ~ subset(X1,esk10_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_137]),c_0_137]) ).
cnf(c_0_179,plain,
set_difference(X1,set_union2(X2,X1)) = esk10_0,
inference(spm,[status(thm)],[c_0_152,c_0_134]) ).
cnf(c_0_180,plain,
( esk8_0 = esk10_0
| in(esk9_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_181,lemma,
set_difference(set_union2(X1,X2),set_difference(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_144]),c_0_179]),c_0_157]) ).
cnf(c_0_182,lemma,
( esk8_0 = esk10_0
| subset(unordered_pair(esk9_0,esk9_0),esk8_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_180]) ).
cnf(c_0_183,lemma,
( set_union2(esk8_0,unordered_pair(X1,esk9_0)) = unordered_pair(X1,esk9_0)
| esk8_0 = esk10_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_177]),c_0_157]) ).
cnf(c_0_184,lemma,
( set_union2(esk8_0,unordered_pair(esk9_0,esk9_0)) = esk8_0
| esk8_0 = esk10_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_182]),c_0_134]) ).
cnf(c_0_185,negated_conjecture,
( esk8_0 != empty_set
| ~ subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
i_0_67 ).
cnf(c_0_186,lemma,
( unordered_pair(esk9_0,esk9_0) = esk8_0
| esk8_0 = esk10_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_187,lemma,
subset(empty_set,X1),
i_0_82 ).
cnf(c_0_188,negated_conjecture,
( esk8_0 != esk10_0
| ~ subset(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
inference(rw,[status(thm)],[c_0_185,c_0_137]) ).
cnf(c_0_189,negated_conjecture,
esk8_0 = esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_186]),c_0_172])]) ).
cnf(c_0_190,lemma,
subset(esk10_0,X1),
inference(rw,[status(thm)],[c_0_187,c_0_137]) ).
cnf(c_0_191,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189]),c_0_189]),c_0_190])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU146+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n018.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 : Sun Jun 19 01:07:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.62/2.46 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.62/2.46 # No SInE strategy applied
% 8.62/2.46 # Trying AutoSched0 for 150 seconds
% 8.62/2.46 # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 8.62/2.46 # and selection function SelectNewComplexAHP.
% 8.62/2.46 #
% 8.62/2.46 # Preprocessing time : 0.024 s
% 8.62/2.46
% 8.62/2.46 # Proof found!
% 8.62/2.46 # SZS status Theorem
% 8.62/2.46 # SZS output start CNFRefutation
% See solution above
% 8.62/2.46 # Training examples: 0 positive, 0 negative
% 8.62/2.46
% 8.62/2.46 # -------------------------------------------------
% 8.62/2.46 # User time : 0.095 s
% 8.62/2.46 # System time : 0.010 s
% 8.62/2.46 # Total time : 0.105 s
% 8.62/2.46 # Maximum resident set size: 7124 pages
% 8.62/2.46
%------------------------------------------------------------------------------