TSTP Solution File: SEU205+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:39:30 EDT 2022
% Result : Theorem 9.31s 2.53s
% Output : CNFRefutation 9.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 59 ( 13 unt; 8 nHn; 39 RR)
% Number of literals : 166 ( 52 equ; 98 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 170 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_8) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_3) ).
cnf(i_0_46,plain,
( in(unordered_pair(unordered_pair(esk10_3(X1,X2,X3),X1),singleton(esk10_3(X1,X2,X3))),X3)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_46) ).
cnf(i_0_15,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_15) ).
cnf(i_0_45,plain,
( in(esk10_3(X1,X2,X3),X2)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_45) ).
cnf(i_0_14,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_14) ).
cnf(i_0_11,plain,
( X1 = set_intersection2(X2,X3)
| in(esk4_3(X2,X3,X1),X1)
| in(esk4_3(X2,X3,X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_11) ).
cnf(i_0_13,plain,
( X1 = set_intersection2(X2,X3)
| ~ in(esk4_3(X2,X3,X1),X1)
| ~ in(esk4_3(X2,X3,X1),X3)
| ~ in(esk4_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_13) ).
cnf(i_0_12,plain,
( X1 = set_intersection2(X2,X3)
| in(esk4_3(X2,X3,X1),X1)
| in(esk4_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_12) ).
cnf(i_0_4,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_4) ).
cnf(i_0_47,plain,
( in(esk10_3(X1,X2,X3),relation_dom(X3))
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_47) ).
cnf(i_0_37,plain,
set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_37) ).
cnf(i_0_48,negated_conjecture,
relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)) != relation_image(esk12_0,esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_48) ).
cnf(i_0_49,negated_conjecture,
relation(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z_hrphx8/lgb.p',i_0_49) ).
cnf(c_0_64,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
i_0_8 ).
cnf(c_0_65,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_66,plain,
( in(unordered_pair(unordered_pair(esk10_3(X1,X2,X3),X1),singleton(esk10_3(X1,X2,X3))),X3)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
i_0_46 ).
cnf(c_0_67,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_15 ).
cnf(c_0_68,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X5)),X3)
| ~ in(X5,X4) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( in(unordered_pair(unordered_pair(X1,esk10_3(X1,X2,X3)),singleton(esk10_3(X1,X2,X3))),X3)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
inference(rw,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_70,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_71,plain,
( in(esk10_3(X1,X2,X3),X2)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
i_0_45 ).
cnf(c_0_72,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_14 ).
cnf(c_0_73,plain,
( X1 = set_intersection2(X2,X3)
| in(esk4_3(X2,X3,X1),X1)
| in(esk4_3(X2,X3,X1),X3) ),
i_0_11 ).
cnf(c_0_74,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(esk10_3(X1,X5,X3),X4)
| ~ in(X1,relation_image(X3,X5)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( in(esk10_3(X1,set_intersection2(X2,X3),X4),X3)
| ~ relation(X4)
| ~ in(X1,relation_image(X4,set_intersection2(X2,X3))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
( X1 = set_intersection2(X2,X3)
| ~ in(esk4_3(X2,X3,X1),X1)
| ~ in(esk4_3(X2,X3,X1),X3)
| ~ in(esk4_3(X2,X3,X1),X2) ),
i_0_13 ).
cnf(c_0_77,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
( X1 = set_intersection2(X2,X3)
| in(esk4_3(X2,X3,X1),X1)
| in(esk4_3(X2,X3,X1),X2) ),
i_0_12 ).
cnf(c_0_79,plain,
( set_intersection2(X1,X2) = X2
| in(esk4_3(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X1,relation_image(X3,set_intersection2(X5,X4))) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
( X1 = set_intersection2(X2,set_intersection2(X3,X4))
| ~ in(esk4_3(X2,set_intersection2(X3,X4),X1),X2)
| ~ in(esk4_3(X2,set_intersection2(X3,X4),X1),X1)
| ~ in(esk4_3(X2,set_intersection2(X3,X4),X1),X4)
| ~ in(esk4_3(X2,set_intersection2(X3,X4),X1),X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,plain,
( set_intersection2(X1,X2) = X1
| in(esk4_3(X1,X2,X1),X1) ),
inference(ef,[status(thm)],[c_0_78]) ).
cnf(c_0_83,plain,
( set_intersection2(X1,X2) = X2
| ~ in(esk4_3(X1,X2,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_79]),c_0_79]) ).
cnf(c_0_84,plain,
( set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X2,X3)
| in(esk4_3(X1,set_intersection2(X2,X3),set_intersection2(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_79]) ).
cnf(c_0_85,plain,
( set_intersection2(X1,relation_image(X2,set_intersection2(X3,X4))) = relation_image(X2,set_intersection2(X3,X4))
| in(esk4_3(X1,relation_image(X2,set_intersection2(X3,X4)),relation_image(X2,set_intersection2(X3,X4))),X5)
| X5 != relation_image(X2,X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_86,plain,
( in(X1,X2)
| X2 != relation_image(X3,set_intersection2(X4,X5))
| ~ relation(X3)
| ~ in(esk10_3(X1,X6,X3),X5)
| ~ in(esk10_3(X1,X6,X3),X4)
| ~ in(X1,relation_image(X3,X6)) ),
inference(spm,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_87,plain,
( set_intersection2(X1,set_intersection2(X2,X3)) = X1
| ~ in(esk4_3(X1,set_intersection2(X2,X3),X1),X3)
| ~ in(esk4_3(X1,set_intersection2(X2,X3),X1),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).
cnf(c_0_88,plain,
set_intersection2(X1,set_intersection2(X2,X1)) = set_intersection2(X2,X1),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_4 ).
cnf(c_0_90,plain,
( set_intersection2(X1,relation_image(X2,set_intersection2(X3,X4))) = relation_image(X2,set_intersection2(X3,X4))
| X1 != relation_image(X2,X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_85]) ).
cnf(c_0_91,plain,
( in(X1,X2)
| X2 != relation_image(X3,set_intersection2(X4,X5))
| ~ relation(X3)
| ~ in(esk10_3(X1,X5,X3),X4)
| ~ in(X1,relation_image(X3,X5)) ),
inference(spm,[status(thm)],[c_0_86,c_0_71]) ).
cnf(c_0_92,plain,
( in(esk10_3(X1,X2,X3),relation_dom(X3))
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X2)) ),
i_0_47 ).
cnf(c_0_93,plain,
( set_intersection2(X1,X2) = X2
| ~ in(esk4_3(X2,set_intersection2(X1,X2),X2),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_82]),c_0_88]) ).
cnf(c_0_94,plain,
( set_intersection2(relation_image(X1,set_intersection2(X2,X3)),X4) = relation_image(X1,set_intersection2(X2,X3))
| X4 != relation_image(X1,X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
( in(X1,X2)
| X2 != relation_image(X3,set_intersection2(relation_dom(X3),X4))
| ~ relation(X3)
| ~ in(X1,relation_image(X3,X4)) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
set_intersection2(X1,X1) = X1,
i_0_37 ).
cnf(c_0_97,plain,
( relation_image(X1,set_intersection2(X2,X3)) = X4
| X4 != relation_image(X1,X3)
| ~ relation(X1)
| ~ in(esk4_3(X4,relation_image(X1,set_intersection2(X2,X3)),X4),relation_image(X1,set_intersection2(X2,X3))) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( in(X1,relation_image(X2,set_intersection2(relation_dom(X2),X3)))
| ~ relation(X2)
| ~ in(X1,relation_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_99,plain,
( set_intersection2(X1,relation_image(X2,X3)) = relation_image(X2,X3)
| X1 != relation_image(X2,X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_96]) ).
cnf(c_0_100,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = X3
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(esk4_3(X3,relation_image(X1,set_intersection2(relation_dom(X1),X2)),X3),relation_image(X1,X2)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
( set_intersection2(relation_image(X1,X2),X3) = relation_image(X1,X2)
| X3 != relation_image(X1,X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_99]) ).
cnf(c_0_102,plain,
( set_intersection2(relation_image(X1,X2),relation_image(X1,set_intersection2(relation_dom(X1),X2))) = relation_image(X1,X2)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_82]),c_0_101]) ).
cnf(c_0_103,negated_conjecture,
relation_image(esk12_0,set_intersection2(relation_dom(esk12_0),esk11_0)) != relation_image(esk12_0,esk11_0),
i_0_48 ).
cnf(c_0_104,plain,
( relation_image(X1,set_intersection2(relation_dom(X1),X2)) = relation_image(X1,X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
relation_image(esk12_0,set_intersection2(esk11_0,relation_dom(esk12_0))) != relation_image(esk12_0,esk11_0),
inference(rw,[status(thm)],[c_0_103,c_0_89]) ).
cnf(c_0_106,plain,
( relation_image(X1,set_intersection2(X2,relation_dom(X1))) = relation_image(X1,X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_89]) ).
cnf(c_0_107,negated_conjecture,
relation(esk12_0),
i_0_49 ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU205+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 01:31:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 9.31/2.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.31/2.53 # No SInE strategy applied
% 9.31/2.53 # Trying AutoSched0 for 150 seconds
% 9.31/2.53 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 9.31/2.53 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.31/2.53 #
% 9.31/2.53 # Preprocessing time : 0.022 s
% 9.31/2.53
% 9.31/2.53 # Proof found!
% 9.31/2.53 # SZS status Theorem
% 9.31/2.53 # SZS output start CNFRefutation
% See solution above
% 9.31/2.53 # Training examples: 0 positive, 0 negative
% 9.31/2.53
% 9.31/2.53 # -------------------------------------------------
% 9.31/2.53 # User time : 0.260 s
% 9.31/2.53 # System time : 0.015 s
% 9.31/2.53 # Total time : 0.276 s
% 9.31/2.53 # Maximum resident set size: 7128 pages
% 9.31/2.53
%------------------------------------------------------------------------------