TSTP Solution File: SEU291+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:40:27 EDT 2022
% Result : Theorem 8.20s 2.55s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of clauses : 89 ( 27 unt; 13 nHn; 77 RR)
% Number of literals : 185 ( 40 equ; 92 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 140 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_81,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_81) ).
cnf(i_0_18,plain,
( element(relation_dom_as_subset(X1,X2,X3),powerset(X1))
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_18) ).
cnf(i_0_70,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_70) ).
cnf(i_0_76,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_76) ).
cnf(i_0_23,plain,
element(esk2_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_23) ).
cnf(i_0_13,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_13) ).
cnf(i_0_89,negated_conjecture,
quasi_total(esk21_0,esk18_0,esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_89) ).
cnf(i_0_88,negated_conjecture,
relation_of2_as_subset(esk21_0,esk18_0,esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_88) ).
cnf(i_0_4,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_4) ).
cnf(i_0_21,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_21) ).
cnf(i_0_71,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_71) ).
cnf(i_0_22,plain,
relation_of2(esk1_2(X1,X2),X1,X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_22) ).
cnf(i_0_72,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_72) ).
cnf(i_0_74,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_74) ).
cnf(i_0_33,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_33) ).
cnf(i_0_77,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_77) ).
cnf(i_0_87,negated_conjecture,
subset(esk19_0,esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_87) ).
cnf(i_0_85,negated_conjecture,
( ~ function(esk21_0)
| ~ relation_of2_as_subset(esk21_0,esk18_0,esk20_0)
| ~ quasi_total(esk21_0,esk18_0,esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_85) ).
cnf(i_0_90,negated_conjecture,
function(esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_90) ).
cnf(i_0_82,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_82) ).
cnf(i_0_12,plain,
( X1 = empty_set
| quasi_total(X2,X3,X1)
| relation_dom_as_subset(X3,X1,X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_12) ).
cnf(i_0_27,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_27) ).
cnf(i_0_86,negated_conjecture,
( esk18_0 = empty_set
| esk19_0 != empty_set ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_86) ).
cnf(i_0_10,plain,
( quasi_total(X1,X2,X3)
| X2 != empty_set
| relation_dom_as_subset(X2,X3,X1) != X2
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-uvapw55m/input.p',i_0_10) ).
cnf(c_0_115,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_81 ).
cnf(c_0_116,plain,
( element(relation_dom_as_subset(X1,X2,X3),powerset(X1))
| ~ relation_of2(X3,X1,X2) ),
i_0_18 ).
cnf(c_0_117,plain,
( ~ in(X1,relation_dom_as_subset(X2,X3,X4))
| ~ relation_of2(X4,X2,X3)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_70 ).
cnf(c_0_119,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_76 ).
cnf(c_0_120,plain,
element(esk2_1(X1),X1),
i_0_23 ).
cnf(c_0_121,plain,
( X1 = empty_set
| relation_dom_as_subset(X2,X1,X3) = X2
| ~ relation_of2_as_subset(X3,X2,X1)
| ~ quasi_total(X3,X2,X1) ),
i_0_13 ).
cnf(c_0_122,negated_conjecture,
quasi_total(esk21_0,esk18_0,esk19_0),
i_0_89 ).
cnf(c_0_123,negated_conjecture,
relation_of2_as_subset(esk21_0,esk18_0,esk19_0),
i_0_88 ).
cnf(c_0_124,plain,
( ~ in(X1,relation_dom(X2))
| ~ relation_of2(X2,X3,X4)
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,plain,
( in(esk2_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_4 ).
cnf(c_0_127,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_21 ).
cnf(c_0_128,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
i_0_71 ).
cnf(c_0_129,plain,
relation_of2(esk1_2(X1,X2),X1,X2),
i_0_22 ).
cnf(c_0_130,negated_conjecture,
( relation_dom_as_subset(esk18_0,esk19_0,esk21_0) = esk18_0
| esk19_0 = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_131,plain,
( relation_dom_as_subset(X1,X2,X3) = relation_dom_as_subset(X4,X5,X3)
| ~ relation_of2(X3,X1,X2)
| ~ relation_of2(X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_118,c_0_118]) ).
cnf(c_0_132,plain,
( empty(relation_dom(X1))
| ~ relation_of2(X1,X2,X3)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_134,plain,
relation_of2_as_subset(esk1_2(X1,X2),X1,X2),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
( relation_dom_as_subset(X1,X2,esk21_0) = esk18_0
| esk19_0 = empty_set
| ~ relation_of2(esk21_0,esk18_0,esk19_0)
| ~ relation_of2(esk21_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_72 ).
cnf(c_0_137,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ subset(X4,X3)
| ~ relation_of2_as_subset(X1,X2,X4) ),
i_0_74 ).
cnf(c_0_138,plain,
( empty(X1)
| ~ relation(X1)
| ~ empty(relation_dom(X1)) ),
i_0_33 ).
cnf(c_0_139,plain,
( empty(relation_dom(esk1_2(X1,X2)))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_129]) ).
cnf(c_0_140,plain,
relation(esk1_2(X1,X2)),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_77 ).
cnf(c_0_142,plain,
( relation_dom_as_subset(X1,X2,esk21_0) = esk18_0
| esk19_0 = empty_set
| ~ relation_of2(esk21_0,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_123])]) ).
cnf(c_0_143,negated_conjecture,
( relation_of2_as_subset(esk21_0,esk18_0,X1)
| ~ subset(esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_123]) ).
cnf(c_0_144,negated_conjecture,
subset(esk19_0,esk20_0),
i_0_87 ).
cnf(c_0_145,negated_conjecture,
( ~ function(esk21_0)
| ~ relation_of2_as_subset(esk21_0,esk18_0,esk20_0)
| ~ quasi_total(esk21_0,esk18_0,esk20_0) ),
i_0_85 ).
cnf(c_0_146,negated_conjecture,
function(esk21_0),
i_0_90 ).
cnf(c_0_147,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_82 ).
cnf(c_0_148,plain,
( empty(esk1_2(X1,X2))
| ~ empty(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
cnf(c_0_149,plain,
( ~ in(X1,X2)
| ~ subset(X2,X3)
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_141]) ).
cnf(c_0_150,plain,
( relation_dom_as_subset(X1,X2,esk21_0) = esk18_0
| esk19_0 = empty_set
| ~ relation_of2_as_subset(esk21_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_136]) ).
cnf(c_0_151,negated_conjecture,
relation_of2_as_subset(esk21_0,esk18_0,esk20_0),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_152,negated_conjecture,
( ~ quasi_total(esk21_0,esk18_0,esk20_0)
| ~ relation_of2_as_subset(esk21_0,esk18_0,esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_153,plain,
( esk1_2(X1,X2) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
( empty(X1)
| ~ subset(X1,X2)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_125]) ).
cnf(c_0_155,plain,
( X1 = empty_set
| quasi_total(X2,X3,X1)
| relation_dom_as_subset(X3,X1,X2) != X3
| ~ relation_of2_as_subset(X2,X3,X1) ),
i_0_12 ).
cnf(c_0_156,negated_conjecture,
( relation_dom_as_subset(esk18_0,esk20_0,esk21_0) = esk18_0
| esk19_0 = empty_set ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
~ quasi_total(esk21_0,esk18_0,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_151])]) ).
cnf(c_0_158,plain,
( empty(relation_dom(empty_set))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_153]) ).
cnf(c_0_159,plain,
empty(empty_set),
i_0_27 ).
cnf(c_0_160,plain,
( empty(relation_dom(X1))
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_136]) ).
cnf(c_0_161,negated_conjecture,
( empty(esk19_0)
| ~ empty(esk20_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_144]) ).
cnf(c_0_162,plain,
( esk19_0 = empty_set
| esk20_0 = empty_set ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_151])]),c_0_157]) ).
cnf(c_0_163,plain,
empty(relation_dom(empty_set)),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( empty(relation_dom(esk21_0))
| ~ empty(esk18_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_123]) ).
cnf(c_0_165,negated_conjecture,
relation(esk21_0),
inference(spm,[status(thm)],[c_0_133,c_0_123]) ).
cnf(c_0_166,negated_conjecture,
( esk18_0 = empty_set
| esk19_0 != empty_set ),
i_0_86 ).
cnf(c_0_167,negated_conjecture,
esk19_0 = empty_set,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_159])]),c_0_147]) ).
cnf(c_0_168,plain,
( quasi_total(X1,X2,X3)
| X2 != empty_set
| relation_dom_as_subset(X2,X3,X1) != X2
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_10 ).
cnf(c_0_169,plain,
relation_dom(empty_set) = empty_set,
inference(spm,[status(thm)],[c_0_147,c_0_163]) ).
cnf(c_0_170,plain,
( empty(esk21_0)
| ~ empty(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_164]),c_0_165])]) ).
cnf(c_0_171,negated_conjecture,
esk18_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_172,plain,
( quasi_total(X1,empty_set,X2)
| relation_dom_as_subset(empty_set,X2,X1) != empty_set
| ~ relation_of2_as_subset(X1,empty_set,X2) ),
inference(er,[status(thm)],[c_0_168]) ).
cnf(c_0_173,plain,
( relation_dom_as_subset(X1,X2,empty_set) = empty_set
| ~ relation_of2(empty_set,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_169]) ).
cnf(c_0_174,plain,
empty(esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_159])]) ).
cnf(c_0_175,plain,
( quasi_total(empty_set,empty_set,X1)
| ~ relation_of2(empty_set,empty_set,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_128]) ).
cnf(c_0_176,plain,
( relation_of2(empty_set,X1,X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_153]) ).
cnf(c_0_177,plain,
esk21_0 = empty_set,
inference(spm,[status(thm)],[c_0_147,c_0_174]) ).
cnf(c_0_178,plain,
quasi_total(empty_set,empty_set,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_159])]) ).
cnf(c_0_179,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_171]),c_0_177]),c_0_178])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 12:57:45 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 8.20/2.55 # ENIGMATIC: Solved by autoschedule:
% 8.20/2.55 # No SInE strategy applied
% 8.20/2.55 # Trying AutoSched0 for 150 seconds
% 8.20/2.55 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.20/2.55 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.20/2.55 #
% 8.20/2.55 # Preprocessing time : 0.024 s
% 8.20/2.55 # Presaturation interreduction done
% 8.20/2.55
% 8.20/2.55 # Proof found!
% 8.20/2.55 # SZS status Theorem
% 8.20/2.55 # SZS output start CNFRefutation
% See solution above
% 8.20/2.55 # Training examples: 0 positive, 0 negative
% 8.20/2.55
% 8.20/2.55 # -------------------------------------------------
% 8.20/2.55 # User time : 0.041 s
% 8.20/2.55 # System time : 0.009 s
% 8.20/2.55 # Total time : 0.050 s
% 8.20/2.55 # Maximum resident set size: 7116 pages
% 8.20/2.55
%------------------------------------------------------------------------------