TSTP Solution File: SET988+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 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 00:15:42 EDT 2022
% Result : Theorem 7.44s 2.26s
% Output : CNFRefutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 41 ( 7 unt; 12 nHn; 31 RR)
% Number of literals : 82 ( 31 equ; 37 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 60 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_41,negated_conjecture,
( ~ relation(esk10_0)
| ~ function(esk10_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_41) ).
cnf(i_0_48,plain,
( relation(X1)
| esk18_1(X1) != unordered_pair(unordered_pair(X2,X3),singleton(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_48) ).
cnf(i_0_46,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk13_1(X1),esk14_1(X1)),singleton(esk13_1(X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_46) ).
cnf(i_0_8,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_8) ).
cnf(i_0_49,plain,
( relation(X1)
| in(esk18_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_49) ).
cnf(i_0_42,negated_conjecture,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),esk10_0)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),esk10_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_42) ).
cnf(i_0_45,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk13_1(X1),esk15_1(X1)),singleton(esk13_1(X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_45) ).
cnf(i_0_44,plain,
( function(X1)
| esk15_1(X1) != esk14_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_44) ).
cnf(i_0_43,negated_conjecture,
( unordered_pair(unordered_pair(esk11_1(X1),esk12_1(X1)),singleton(esk11_1(X1))) = X1
| ~ in(X1,esk10_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7rp81cts/lgb.p',i_0_43) ).
cnf(c_0_59,negated_conjecture,
( ~ relation(esk10_0)
| ~ function(esk10_0) ),
i_0_41 ).
cnf(c_0_60,plain,
( relation(X1)
| esk18_1(X1) != unordered_pair(unordered_pair(X2,X3),singleton(X2)) ),
i_0_48 ).
cnf(c_0_61,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk13_1(X1),esk14_1(X1)),singleton(esk13_1(X1))),X1) ),
i_0_46 ).
cnf(c_0_62,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_8 ).
cnf(c_0_63,plain,
( relation(X1)
| in(esk18_1(X1),X1) ),
i_0_49 ).
cnf(c_0_64,negated_conjecture,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),esk10_0)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),esk10_0) ),
i_0_42 ).
cnf(c_0_65,negated_conjecture,
( unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0)
| ~ function(esk10_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
( in(unordered_pair(singleton(esk13_1(X1)),unordered_pair(esk13_1(X1),esk14_1(X1))),X1)
| function(X1) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( in(esk18_1(esk10_0),esk10_0)
| ~ function(esk10_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_63]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X2)),esk10_0)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),esk10_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),esk14_1(esk10_0))),esk10_0)
| unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk13_1(X1),esk15_1(X1)),singleton(esk13_1(X1))),X1) ),
i_0_45 ).
cnf(c_0_71,negated_conjecture,
( in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),esk14_1(esk10_0))),esk10_0)
| in(esk18_1(esk10_0),esk10_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_72,plain,
( X1 = esk14_1(esk10_0)
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != esk18_1(esk10_0)
| ~ in(unordered_pair(unordered_pair(esk13_1(esk10_0),X1),singleton(esk13_1(esk10_0))),esk10_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,plain,
( in(unordered_pair(singleton(esk13_1(X1)),unordered_pair(esk13_1(X1),esk15_1(X1))),X1)
| function(X1) ),
inference(rw,[status(thm)],[c_0_70,c_0_62]) ).
cnf(c_0_74,plain,
( function(X1)
| esk15_1(X1) != esk14_1(X1) ),
i_0_44 ).
cnf(c_0_75,negated_conjecture,
( X1 = esk14_1(esk10_0)
| in(esk18_1(esk10_0),esk10_0)
| ~ in(unordered_pair(unordered_pair(esk13_1(esk10_0),X1),singleton(esk13_1(esk10_0))),esk10_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_76,plain,
( X1 = esk14_1(esk10_0)
| unordered_pair(unordered_pair(X2,X3),singleton(X2)) != esk18_1(esk10_0)
| ~ in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),X1)),esk10_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_77,negated_conjecture,
( in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),esk15_1(esk10_0))),esk10_0)
| unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_73]) ).
cnf(c_0_78,plain,
( unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0)
| esk15_1(esk10_0) != esk14_1(esk10_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( unordered_pair(unordered_pair(esk11_1(X1),esk12_1(X1)),singleton(esk11_1(X1))) = X1
| ~ in(X1,esk10_0) ),
i_0_43 ).
cnf(c_0_80,plain,
( X1 = esk14_1(esk10_0)
| in(esk18_1(esk10_0),esk10_0)
| ~ in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),X1)),esk10_0) ),
inference(spm,[status(thm)],[c_0_75,c_0_62]) ).
cnf(c_0_81,negated_conjecture,
( in(unordered_pair(singleton(esk13_1(esk10_0)),unordered_pair(esk13_1(esk10_0),esk15_1(esk10_0))),esk10_0)
| in(esk18_1(esk10_0),esk10_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_73]) ).
cnf(c_0_82,plain,
( in(esk18_1(esk10_0),esk10_0)
| esk15_1(esk10_0) != esk14_1(esk10_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_74]) ).
cnf(c_0_83,plain,
( unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0)
| unordered_pair(unordered_pair(X3,X4),singleton(X3)) != esk18_1(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_84,negated_conjecture,
( unordered_pair(singleton(esk11_1(X1)),unordered_pair(esk11_1(X1),esk12_1(X1))) = X1
| ~ in(X1,esk10_0) ),
inference(rw,[status(thm)],[c_0_79,c_0_62]) ).
cnf(c_0_85,plain,
in(esk18_1(esk10_0),esk10_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_86,plain,
( unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk18_1(esk10_0)
| unordered_pair(unordered_pair(X3,X4),singleton(X3)) != esk18_1(esk10_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_62]) ).
cnf(c_0_87,negated_conjecture,
unordered_pair(singleton(esk11_1(esk18_1(esk10_0))),unordered_pair(esk11_1(esk18_1(esk10_0)),esk12_1(esk18_1(esk10_0)))) = esk18_1(esk10_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk18_1(esk10_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_89,plain,
unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk18_1(esk10_0),
inference(spm,[status(thm)],[c_0_88,c_0_62]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_87,c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Sun Jul 10 14:49:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.44/2.26 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.44/2.26 # No SInE strategy applied
% 7.44/2.26 # Trying AutoSched0 for 150 seconds
% 7.44/2.26 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S036I
% 7.44/2.26 # and selection function SelectUnlessUniqPosMax.
% 7.44/2.26 #
% 7.44/2.26 # Preprocessing time : 0.023 s
% 7.44/2.26 # Presaturation interreduction done
% 7.44/2.26
% 7.44/2.26 # Proof found!
% 7.44/2.26 # SZS status Theorem
% 7.44/2.26 # SZS output start CNFRefutation
% See solution above
% 7.44/2.26 # Training examples: 0 positive, 0 negative
% 7.44/2.26
% 7.44/2.26 # -------------------------------------------------
% 7.44/2.26 # User time : 0.029 s
% 7.44/2.26 # System time : 0.003 s
% 7.44/2.26 # Total time : 0.032 s
% 7.44/2.26 # Maximum resident set size: 7124 pages
% 7.44/2.26
%------------------------------------------------------------------------------