TSTP Solution File: SEU266+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU266+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:40:14 EDT 2022
% Result : Theorem 8.48s 2.36s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of clauses : 74 ( 12 unt; 14 nHn; 65 RR)
% Number of literals : 176 ( 46 equ; 94 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 121 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( element(relation_rng_as_subset(X1,X2,X3),powerset(X2))
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_17) ).
cnf(i_0_28,plain,
( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_28) ).
cnf(i_0_33,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_33) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_3) ).
cnf(i_0_35,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(esk13_1(X1),X1),singleton(esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_35) ).
cnf(i_0_2,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_2) ).
cnf(i_0_20,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_20) ).
cnf(i_0_45,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_45) ).
cnf(i_0_39,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_39) ).
cnf(i_0_22,plain,
element(esk5_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_22) ).
cnf(i_0_30,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_30) ).
cnf(i_0_40,plain,
( X1 = X2
| in(esk14_2(X1,X2),X2)
| in(esk14_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_40) ).
cnf(i_0_38,negated_conjecture,
relation_of2_as_subset(esk11_0,esk9_0,esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_38) ).
cnf(i_0_46,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_46) ).
cnf(i_0_44,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_44) ).
cnf(i_0_37,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_37) ).
cnf(i_0_47,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_47) ).
cnf(i_0_36,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk11_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_36) ).
cnf(i_0_7,plain,
( in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),X3),singleton(esk1_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_7) ).
cnf(i_0_41,plain,
( X1 = X2
| ~ in(esk14_2(X1,X2),X2)
| ~ in(esk14_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hb8lgyv/input.p',i_0_41) ).
cnf(c_0_68,plain,
( element(relation_rng_as_subset(X1,X2,X3),powerset(X2))
| ~ relation_of2(X3,X1,X2) ),
i_0_17 ).
cnf(c_0_69,plain,
( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_28 ).
cnf(c_0_70,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_33 ).
cnf(c_0_71,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_72,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(esk13_1(X1),X1),singleton(esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
i_0_35 ).
cnf(c_0_73,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_2 ).
cnf(c_0_74,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_20 ).
cnf(c_0_75,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_45 ).
cnf(c_0_76,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_39 ).
cnf(c_0_77,plain,
element(esk5_1(X1),X1),
i_0_22 ).
cnf(c_0_78,plain,
( element(relation_rng(X1),powerset(X2))
| ~ relation_of2(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_30 ).
cnf(c_0_80,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| in(unordered_pair(unordered_pair(X1,esk13_1(X1)),singleton(esk13_1(X1))),esk11_0)
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_82,plain,
( X1 = X2
| in(esk14_2(X1,X2),X2)
| in(esk14_2(X1,X2),X1) ),
i_0_40 ).
cnf(c_0_83,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
relation_of2_as_subset(esk11_0,esk9_0,esk10_0),
i_0_38 ).
cnf(c_0_85,plain,
( ~ in(X1,relation_rng_as_subset(X2,X3,X4))
| ~ relation_of2(X4,X2,X3)
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
cnf(c_0_86,plain,
( in(esk5_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_87,plain,
( element(relation_rng(X1),powerset(X2))
| ~ relation_of2_as_subset(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,plain,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_71]) ).
cnf(c_0_89,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| X1 = esk10_0
| in(unordered_pair(singleton(esk13_1(esk14_2(X1,esk10_0))),unordered_pair(esk14_2(X1,esk10_0),esk13_1(esk14_2(X1,esk10_0)))),esk11_0)
| in(esk14_2(X1,esk10_0),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_71]) ).
cnf(c_0_90,negated_conjecture,
relation(esk11_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_46 ).
cnf(c_0_92,plain,
( empty(relation_rng_as_subset(X1,X2,X3))
| ~ relation_of2(X3,X1,X2)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_44 ).
cnf(c_0_94,negated_conjecture,
element(relation_rng(esk11_0),powerset(esk10_0)),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_95,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| X1 = esk10_0
| in(esk14_2(X1,esk10_0),relation_rng(esk11_0))
| in(esk14_2(X1,esk10_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_96,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0 ),
i_0_37 ).
cnf(c_0_97,plain,
( relation_rng_as_subset(X1,X2,X3) = empty_set
| ~ relation_of2(X3,X1,X2)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_47 ).
cnf(c_0_99,plain,
( element(X1,esk10_0)
| ~ in(X1,relation_rng(esk11_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| relation_rng(esk11_0) = esk10_0
| in(esk14_2(relation_rng(esk11_0),esk10_0),relation_rng(esk11_0)) ),
inference(ef,[status(thm)],[c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( ~ relation_of2(esk11_0,esk9_0,esk10_0)
| ~ empty(esk10_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_91]),c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk11_0) ),
i_0_36 ).
cnf(c_0_103,plain,
( in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),X3),singleton(esk1_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_7 ).
cnf(c_0_104,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| relation_rng(esk11_0) = esk10_0
| element(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
~ empty(esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_84])]) ).
cnf(c_0_106,negated_conjecture,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| ~ in(unordered_pair(unordered_pair(esk12_0,X1),singleton(X1)),esk11_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_71]) ).
cnf(c_0_107,plain,
( in(unordered_pair(unordered_pair(X1,esk1_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X2)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_103,c_0_71]) ).
cnf(c_0_108,plain,
( X1 = X2
| ~ in(esk14_2(X1,X2),X2)
| ~ in(esk14_2(X1,X2),X1) ),
i_0_41 ).
cnf(c_0_109,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| relation_rng(esk11_0) = esk10_0
| in(esk14_2(relation_rng(esk11_0),esk10_0),esk10_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_104]),c_0_105]) ).
cnf(c_0_110,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| X1 != relation_rng(esk11_0)
| ~ relation(esk11_0)
| ~ in(esk12_0,X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) = esk10_0
| relation_rng(esk11_0) = esk10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_100]) ).
cnf(c_0_112,plain,
( relation_rng_as_subset(esk9_0,esk10_0,esk11_0) != esk10_0
| X1 != relation_rng(esk11_0)
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_90])]) ).
cnf(c_0_113,plain,
( relation_rng(esk11_0) = esk10_0
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_111]) ).
cnf(c_0_114,plain,
( relation_rng(esk11_0) != esk10_0
| X1 != relation_rng(esk11_0)
| ~ in(esk12_0,X1)
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_69]) ).
cnf(c_0_115,plain,
relation_rng(esk11_0) = esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_79]),c_0_84])]) ).
cnf(c_0_116,negated_conjecture,
( in(esk12_0,esk10_0)
| relation_rng(esk11_0) != esk10_0
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_69]) ).
cnf(c_0_117,plain,
( X1 != esk10_0
| ~ in(esk12_0,X1)
| ~ relation_of2(esk11_0,esk9_0,esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_118,plain,
( in(esk12_0,esk10_0)
| relation_rng(esk11_0) != esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_79]),c_0_84])]) ).
cnf(c_0_119,plain,
( X1 != esk10_0
| ~ in(esk12_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_79]),c_0_84])]) ).
cnf(c_0_120,plain,
in(esk12_0,esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_115])]) ).
cnf(c_0_121,plain,
$false,
inference(spm,[status(thm)],[c_0_119,c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU266+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Mon Jun 20 03:51:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.48/2.36 # ENIGMATIC: Solved by autoschedule:
% 8.48/2.36 # No SInE strategy applied
% 8.48/2.36 # Trying AutoSched0 for 150 seconds
% 8.48/2.36 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.48/2.36 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.48/2.36 #
% 8.48/2.36 # Preprocessing time : 0.025 s
% 8.48/2.36
% 8.48/2.36 # Proof found!
% 8.48/2.36 # SZS status Theorem
% 8.48/2.36 # SZS output start CNFRefutation
% See solution above
% 8.48/2.36 # Training examples: 0 positive, 0 negative
% 8.48/2.36
% 8.48/2.36 # -------------------------------------------------
% 8.48/2.36 # User time : 0.143 s
% 8.48/2.36 # System time : 0.007 s
% 8.48/2.36 # Total time : 0.151 s
% 8.48/2.36 # Maximum resident set size: 7124 pages
% 8.48/2.36
%------------------------------------------------------------------------------