TSTP Solution File: SET986+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET986+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 00:15:41 EDT 2022
% Result : Theorem 23.08s 4.29s
% Output : CNFRefutation 23.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 68 ( 19 unt; 21 nHn; 43 RR)
% Number of literals : 147 ( 34 equ; 66 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 178 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_15) ).
cnf(i_0_13,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_13) ).
cnf(i_0_14,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_14) ).
cnf(i_0_24,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_24) ).
cnf(i_0_17,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_17) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_16) ).
cnf(i_0_22,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_22) ).
cnf(i_0_23,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_23) ).
cnf(i_0_9,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_9) ).
cnf(i_0_2,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_2) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_3) ).
cnf(i_0_34,plain,
( X1 != X2
| ~ in(X1,set_difference(X3,singleton(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_34) ).
cnf(i_0_31,negated_conjecture,
set_union2(set_difference(esk8_0,singleton(esk7_0)),singleton(esk7_0)) != esk8_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_31) ).
cnf(i_0_32,negated_conjecture,
in(esk7_0,esk8_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sq6q6elr/input.p',i_0_32) ).
cnf(c_0_49,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
i_0_15 ).
cnf(c_0_50,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
i_0_13 ).
cnf(c_0_51,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
i_0_14 ).
cnf(c_0_52,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
i_0_24 ).
cnf(c_0_53,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
i_0_17 ).
cnf(c_0_55,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
i_0_16 ).
cnf(c_0_56,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
i_0_22 ).
cnf(c_0_58,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( subset(set_union2(X1,X2),X3)
| in(esk3_2(set_union2(X1,X2),X3),X1)
| in(esk3_2(set_union2(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
i_0_23 ).
cnf(c_0_62,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk3_2(X1,set_union2(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk3_2(X1,set_union2(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_58]) ).
cnf(c_0_65,plain,
( subset(set_union2(X1,set_difference(X2,X3)),X4)
| in(esk3_2(set_union2(X1,set_difference(X2,X3)),X4),X2)
| in(esk3_2(set_union2(X1,set_difference(X2,X3)),X4),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_9 ).
cnf(c_0_67,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( subset(X1,set_union2(X2,set_difference(X3,X4)))
| in(esk3_2(X1,set_union2(X2,set_difference(X3,X4))),X4)
| ~ in(esk3_2(X1,set_union2(X2,set_difference(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( subset(set_union2(X1,X2),set_union2(X1,X3))
| in(esk3_2(set_union2(X1,X2),set_union2(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_70,plain,
( subset(set_union2(X1,set_difference(X1,X2)),X3)
| in(esk3_2(set_union2(X1,set_difference(X1,X2)),X3),X1) ),
inference(ef,[status(thm)],[c_0_65]) ).
cnf(c_0_71,plain,
subset(X1,set_union2(X2,X1)),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_72,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_2 ).
cnf(c_0_73,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( subset(set_difference(X1,X2),X3)
| ~ in(esk3_2(set_difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_54]) ).
cnf(c_0_75,plain,
( subset(set_union2(X1,X2),set_union2(X1,set_difference(X2,X3)))
| in(esk3_2(set_union2(X1,X2),set_union2(X1,set_difference(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
( subset(X1,set_union2(X2,set_union2(X3,X4)))
| ~ in(esk3_2(X1,set_union2(X2,set_union2(X3,X4))),X4) ),
inference(spm,[status(thm)],[c_0_62,c_0_56]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_3 ).
cnf(c_0_78,plain,
subset(set_union2(X1,set_difference(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_55,c_0_70]) ).
cnf(c_0_79,plain,
subset(X1,set_union2(X1,X2)),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,plain,
( subset(X1,set_difference(X2,X3))
| in(esk3_2(X1,set_difference(X2,X3)),X3)
| ~ in(esk3_2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_81,plain,
( esk3_2(singleton(X1),X2) = X1
| subset(singleton(X1),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_54]) ).
cnf(c_0_82,plain,
( subset(set_difference(X1,set_difference(X2,X3)),X4)
| in(esk3_2(set_difference(X1,set_difference(X2,X3)),X4),X3)
| ~ in(esk3_2(set_difference(X1,set_difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_63]) ).
cnf(c_0_83,plain,
( subset(set_difference(X1,X2),X3)
| in(esk3_2(set_difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_84,plain,
subset(set_union2(X1,X2),set_union2(X1,set_difference(X2,X1))),
inference(spm,[status(thm)],[c_0_64,c_0_75]) ).
cnf(c_0_85,plain,
subset(set_union2(X1,X2),set_union2(X1,set_union2(X3,X2))),
inference(spm,[status(thm)],[c_0_76,c_0_69]) ).
cnf(c_0_86,plain,
set_union2(X1,set_difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_87,plain,
( subset(singleton(X1),set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_88,plain,
( subset(set_difference(X1,set_difference(X1,X2)),X3)
| in(esk3_2(set_difference(X1,set_difference(X1,X2)),X3),X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
( X1 != X2
| ~ in(X1,set_difference(X3,singleton(X2))) ),
i_0_34 ).
cnf(c_0_90,negated_conjecture,
set_union2(set_difference(esk8_0,singleton(esk7_0)),singleton(esk7_0)) != esk8_0,
i_0_31 ).
cnf(c_0_91,plain,
( set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2)
| ~ subset(set_union2(X1,set_difference(X2,X1)),set_union2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_77,c_0_84]) ).
cnf(c_0_92,plain,
subset(set_union2(X1,set_difference(X2,X3)),set_union2(X1,X2)),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_93,plain,
( set_difference(X1,X2) = singleton(X3)
| in(X3,X2)
| ~ subset(set_difference(X1,X2),singleton(X3))
| ~ in(X3,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_87]) ).
cnf(c_0_94,plain,
subset(set_difference(X1,set_difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_55,c_0_88]) ).
cnf(c_0_95,plain,
~ in(X1,set_difference(X2,singleton(X1))),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
set_union2(singleton(esk7_0),set_difference(esk8_0,singleton(esk7_0))) != esk8_0,
inference(rw,[status(thm)],[c_0_90,c_0_72]) ).
cnf(c_0_97,plain,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_98,plain,
( set_difference(X1,set_difference(X1,singleton(X2))) = singleton(X2)
| ~ in(X2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
set_union2(esk8_0,singleton(esk7_0)) != esk8_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_72]) ).
cnf(c_0_100,plain,
( set_union2(X1,singleton(X2)) = X1
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
in(esk7_0,esk8_0),
i_0_32 ).
cnf(c_0_102,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET986+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 19:56:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 23.08/4.29 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 23.08/4.29 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 36; version: 991; iters: 150)
% 23.08/4.29 # Preprocessing time : 1.211 s
% 23.08/4.29 # Presaturation interreduction done
% 23.08/4.29
% 23.08/4.29 # Proof found!
% 23.08/4.29 # SZS status Theorem
% 23.08/4.29 # SZS output start CNFRefutation
% See solution above
% 23.08/4.29 # Training examples: 0 positive, 0 negative
% 23.08/4.29
% 23.08/4.29 # -------------------------------------------------
% 23.08/4.29 # User time : 1.610 s
% 23.08/4.29 # System time : 0.159 s
% 23.08/4.29 # Total time : 1.769 s
% 23.08/4.29 # ...preprocessing : 1.211 s
% 23.08/4.29 # ...main loop : 0.559 s
% 23.08/4.29 # Maximum resident set size: 187252 pages
% 23.08/4.29
%------------------------------------------------------------------------------