%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 00:12:49 EDT 2022
% Result : Theorem 59.38s 9.11s
% Output : CNFRefutation 59.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 80 ( 33 unt; 26 nHn; 26 RR)
% Number of literals : 140 ( 20 equ; 35 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 215 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_3) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_12) ).
cnf(i_0_6,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_6) ).
cnf(i_0_11,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_11) ).
cnf(i_0_2,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_2) ).
cnf(i_0_1,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_1) ).
cnf(i_0_4,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_4) ).
cnf(i_0_5,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_5) ).
cnf(i_0_10,plain,
union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_10) ).
cnf(i_0_7,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_7) ).
cnf(i_0_19,negated_conjecture,
difference(difference(esk3_0,esk4_0),esk5_0) != difference(esk3_0,union(esk4_0,esk5_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w01942n9/input.p',i_0_19) ).
cnf(c_0_31,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_3 ).
cnf(c_0_32,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
i_0_12 ).
cnf(c_0_33,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_6 ).
cnf(c_0_34,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
i_0_11 ).
cnf(c_0_35,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_2 ).
cnf(c_0_36,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_37,plain,
( member(esk1_2(union(X1,X2),X3),X1)
| member(esk1_2(union(X1,X2),X3),X2)
| subset(union(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_4 ).
cnf(c_0_39,plain,
( member(esk1_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_40,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_42,plain,
( member(esk1_2(union(X1,difference(X2,X3)),X4),X2)
| member(esk1_2(union(X1,difference(X2,X3)),X4),X1)
| subset(union(X1,difference(X2,X3)),X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_43,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_5 ).
cnf(c_0_44,plain,
( member(esk1_2(X1,difference(X2,X3)),X3)
| subset(X1,difference(X2,X3))
| ~ member(esk1_2(X1,difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_45,plain,
( member(esk1_2(difference(union(X1,X2),X3),X4),X1)
| member(esk1_2(difference(union(X1,X2),X3),X4),X2)
| subset(difference(union(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_46,plain,
( member(esk1_2(X1,union(difference(X2,X3),X4)),X3)
| subset(X1,union(difference(X2,X3),X4))
| ~ member(esk1_2(X1,union(difference(X2,X3),X4)),X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_47,plain,
( member(esk1_2(union(X1,X2),union(X3,X2)),X1)
| subset(union(X1,X2),union(X3,X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_48,plain,
( member(esk1_2(union(X1,difference(X1,X2)),X3),X1)
| subset(union(X1,difference(X1,X2)),X3) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_50,plain,
( member(esk1_2(X1,difference(X1,X2)),X2)
| subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_51,plain,
( member(esk1_2(difference(union(X1,X2),X3),X2),X1)
| subset(difference(union(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_45]) ).
cnf(c_0_52,plain,
( member(esk1_2(X1,difference(union(X2,X3),X4)),X4)
| subset(X1,difference(union(X2,X3),X4))
| ~ member(esk1_2(X1,difference(union(X2,X3),X4)),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_53,plain,
( member(esk1_2(union(X1,X2),union(difference(X1,X3),X2)),X3)
| subset(union(X1,X2),union(difference(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
union(X1,X2) = union(X2,X1),
i_0_10 ).
cnf(c_0_55,plain,
( subset(X1,union(X2,union(X3,X4)))
| ~ member(esk1_2(X1,union(X2,union(X3,X4))),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_36]) ).
cnf(c_0_56,plain,
( member(esk1_2(union(X1,X2),union(X1,X3)),X2)
| subset(union(X1,X2),union(X1,X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_57,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_7 ).
cnf(c_0_58,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_59,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_60,plain,
( member(esk1_2(difference(X1,difference(X2,X3)),X4),X3)
| subset(difference(X1,difference(X2,X3)),X4)
| ~ member(esk1_2(difference(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_61,plain,
( member(esk1_2(difference(X1,X2),difference(X1,X3)),X3)
| subset(difference(X1,X2),difference(X1,X3)) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_62,plain,
( subset(X1,difference(X1,difference(X2,X3)))
| ~ member(esk1_2(X1,difference(X1,difference(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_50]) ).
cnf(c_0_63,plain,
subset(difference(union(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_49,c_0_51]) ).
cnf(c_0_64,plain,
( member(esk1_2(X1,difference(union(X2,X1),X3)),X3)
| subset(X1,difference(union(X2,X1),X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_65,plain,
subset(union(X1,X2),union(X2,difference(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_54]) ).
cnf(c_0_66,plain,
subset(union(X1,X2),union(X1,union(X3,X2))),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
union(X1,difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_68,plain,
( subset(difference(difference(X1,X2),X3),X4)
| ~ member(esk1_2(difference(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_69,plain,
( member(esk1_2(difference(X1,difference(X2,X3)),difference(X1,X2)),X3)
| subset(difference(X1,difference(X2,X3)),difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,plain,
subset(X1,difference(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_71,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_72,plain,
( subset(difference(X1,union(X2,X3)),X4)
| ~ member(esk1_2(difference(X1,union(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_73,plain,
( difference(union(X1,X2),X1) = X2
| ~ subset(X2,difference(union(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_63]) ).
cnf(c_0_74,plain,
subset(difference(X1,X2),difference(union(X3,difference(X1,X2)),X2)),
inference(spm,[status(thm)],[c_0_49,c_0_64]) ).
cnf(c_0_75,plain,
( union(X1,difference(X2,X1)) = union(X2,X1)
| ~ subset(union(X1,difference(X2,X1)),union(X2,X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_65]) ).
cnf(c_0_76,plain,
subset(union(X1,difference(X2,X3)),union(X1,X2)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,plain,
( member(esk1_2(union(X1,X2),union(X3,X1)),X2)
| subset(union(X1,X2),union(X3,X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_37]) ).
cnf(c_0_78,plain,
( member(esk1_2(union(X1,X2),union(X2,X3)),X1)
| subset(union(X1,X2),union(X2,X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_79,plain,
subset(difference(difference(X1,X2),difference(X3,X2)),difference(difference(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_80,plain,
difference(X1,difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_70]),c_0_71])]) ).
cnf(c_0_81,plain,
subset(difference(X1,union(X2,X3)),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_72,c_0_61]) ).
cnf(c_0_82,plain,
difference(union(X1,difference(X2,X1)),X1) = difference(X2,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,plain,
union(X1,difference(X2,X1)) = union(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_54]),c_0_76])]) ).
cnf(c_0_84,plain,
( member(esk1_2(union(X1,X2),union(difference(X2,X3),X1)),X3)
| subset(union(X1,X2),union(difference(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_77]) ).
cnf(c_0_85,plain,
subset(union(X1,X2),union(X2,union(X3,X1))),
inference(spm,[status(thm)],[c_0_55,c_0_78]) ).
cnf(c_0_86,plain,
subset(difference(X1,difference(X2,difference(X3,X1))),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,plain,
subset(difference(X1,X2),difference(X1,difference(X2,X3))),
inference(spm,[status(thm)],[c_0_81,c_0_67]) ).
cnf(c_0_88,plain,
difference(union(X1,X2),X1) = difference(X2,X1),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,plain,
subset(union(union(X1,X2),X3),union(difference(X3,X2),union(X1,X2))),
inference(spm,[status(thm)],[c_0_55,c_0_84]) ).
cnf(c_0_90,plain,
subset(union(difference(X1,X2),X3),union(X3,X1)),
inference(spm,[status(thm)],[c_0_85,c_0_67]) ).
cnf(c_0_91,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_86]),c_0_87])]) ).
cnf(c_0_92,plain,
difference(union(X1,X2),X2) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_88,c_0_54]) ).
cnf(c_0_93,plain,
union(difference(X1,X2),union(X3,X2)) = union(union(X3,X2),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_89]),c_0_90])]) ).
cnf(c_0_94,plain,
difference(X1,union(X2,difference(X3,X1))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_91]) ).
cnf(c_0_95,plain,
difference(union(X1,X2),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_83]),c_0_80]) ).
cnf(c_0_96,plain,
difference(difference(X1,X2),union(X3,X2)) = difference(X1,union(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_88]) ).
cnf(c_0_97,negated_conjecture,
difference(difference(esk3_0,esk4_0),esk5_0) != difference(esk3_0,union(esk4_0,esk5_0)),
i_0_19 ).
cnf(c_0_98,plain,
difference(difference(X1,X2),X3) = difference(X1,union(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET614+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n021.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 : Mon Jul 11 09:28:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 59.38/9.11 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 59.38/9.11 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 59.38/9.11 # Preprocessing time : 1.845 s
% 59.38/9.11 # Presaturation interreduction done
% 59.38/9.11
% 59.38/9.11 # Proof found!
% 59.38/9.11 # SZS status Theorem
% 59.38/9.11 # SZS output start CNFRefutation
% See solution above
% 59.38/9.11 # Training examples: 0 positive, 0 negative
% 59.38/9.11
% 59.38/9.11 # -------------------------------------------------
% 59.38/9.11 # User time : 6.155 s
% 59.38/9.11 # System time : 0.193 s
% 59.38/9.11 # Total time : 6.348 s
% 59.38/9.11 # ...preprocessing : 1.845 s
% 59.38/9.11 # ...main loop : 4.503 s
% 59.38/9.11 # Maximum resident set size: 187060 pages
% 59.38/9.11
%------------------------------------------------------------------------------