TSTP Solution File: SEU137+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:38:44 EDT 2022
% Result : Theorem 44.27s 7.22s
% Output : CNFRefutation 44.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 57 ( 12 unt; 18 nHn; 36 RR)
% Number of literals : 131 ( 25 equ; 56 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 138 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_8) ).
cnf(i_0_17,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_17) ).
cnf(i_0_10,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_10) ).
cnf(i_0_11,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_11) ).
cnf(i_0_33,negated_conjecture,
subset(esk7_0,esk8_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_33) ).
cnf(i_0_6,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_6) ).
cnf(i_0_9,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_9) ).
cnf(i_0_15,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_15) ).
cnf(i_0_16,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_16) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_7) ).
cnf(i_0_29,plain,
( X1 = X2
| in(esk6_2(X1,X2),X2)
| in(esk6_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_29) ).
cnf(i_0_31,plain,
set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_31) ).
cnf(i_0_28,plain,
set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_28) ).
cnf(i_0_30,plain,
( X1 = X2
| ~ in(esk6_2(X1,X2),X2)
| ~ in(esk6_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/input.p',i_0_30) ).
cnf(i_0_32,negated_conjecture,
set_union2(esk7_0,set_difference(esk8_0,esk7_0)) != esk8_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-93ph6_2_/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_8 ).
cnf(c_0_50,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
i_0_17 ).
cnf(c_0_51,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_52,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
i_0_10 ).
cnf(c_0_53,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_11 ).
cnf(c_0_54,negated_conjecture,
subset(esk7_0,esk8_0),
i_0_33 ).
cnf(c_0_55,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
( in(esk2_2(set_union2(X1,X2),X3),X1)
| in(esk2_2(set_union2(X1,X2),X3),X2)
| subset(set_union2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
i_0_6 ).
cnf(c_0_58,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
i_0_9 ).
cnf(c_0_59,negated_conjecture,
( in(X1,esk8_0)
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( in(esk2_2(set_union2(X1,set_difference(X2,X3)),X4),X2)
| in(esk2_2(set_union2(X1,set_difference(X2,X3)),X4),X1)
| subset(set_union2(X1,set_difference(X2,X3)),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
i_0_15 ).
cnf(c_0_63,plain,
( subset(X1,esk8_0)
| ~ in(esk2_2(X1,esk8_0),esk7_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( in(esk2_2(set_union2(X1,set_difference(X2,X3)),X2),X1)
| subset(set_union2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
cnf(c_0_65,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
i_0_16 ).
cnf(c_0_66,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
i_0_7 ).
cnf(c_0_67,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk2_2(X1,set_union2(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_61]) ).
cnf(c_0_68,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
subset(set_union2(esk7_0,set_difference(esk8_0,X1)),esk8_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_71,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( in(esk2_2(X1,set_union2(X2,set_difference(X3,X4))),X4)
| subset(X1,set_union2(X2,set_difference(X3,X4)))
| ~ in(esk2_2(X1,set_union2(X2,set_difference(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( in(X1,esk8_0)
| ~ in(X1,set_union2(esk7_0,set_difference(esk8_0,X2))) ),
inference(spm,[status(thm)],[c_0_53,c_0_69]) ).
cnf(c_0_74,plain,
( X1 = X2
| in(esk6_2(X1,X2),X2)
| in(esk6_2(X1,X2),X1) ),
i_0_29 ).
cnf(c_0_75,plain,
( subset(set_difference(X1,X2),X3)
| ~ in(esk2_2(set_difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_52]) ).
cnf(c_0_76,plain,
set_difference(X1,empty_set) = X1,
i_0_31 ).
cnf(c_0_77,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk2_2(X1,set_union2(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_71]) ).
cnf(c_0_78,plain,
( in(esk2_2(set_union2(X1,X2),set_union2(X3,set_difference(X1,X4))),X4)
| in(esk2_2(set_union2(X1,X2),set_union2(X3,set_difference(X1,X4))),X2)
| subset(set_union2(X1,X2),set_union2(X3,set_difference(X1,X4))) ),
inference(spm,[status(thm)],[c_0_72,c_0_56]) ).
cnf(c_0_79,plain,
( set_union2(esk7_0,set_difference(esk8_0,X1)) = X2
| in(esk6_2(set_union2(esk7_0,set_difference(esk8_0,X1)),X2),esk8_0)
| in(esk6_2(set_union2(esk7_0,set_difference(esk8_0,X1)),X2),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),empty_set) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( in(esk2_2(set_union2(X1,X2),set_union2(X3,set_difference(X1,X3))),X2)
| subset(set_union2(X1,X2),set_union2(X3,set_difference(X1,X3))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
set_union2(X1,empty_set) = X1,
i_0_28 ).
cnf(c_0_83,plain,
( X1 = X2
| ~ in(esk6_2(X1,X2),X2)
| ~ in(esk6_2(X1,X2),X1) ),
i_0_30 ).
cnf(c_0_84,plain,
( set_union2(esk7_0,set_difference(esk8_0,X1)) = esk8_0
| in(esk6_2(set_union2(esk7_0,set_difference(esk8_0,X1)),esk8_0),esk8_0) ),
inference(ef,[status(thm)],[c_0_79]) ).
cnf(c_0_85,plain,
subset(X1,set_union2(X2,set_difference(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_86,plain,
( set_union2(esk7_0,set_difference(esk8_0,X1)) = esk8_0
| ~ in(esk6_2(set_union2(esk7_0,set_difference(esk8_0,X1)),esk8_0),set_union2(esk7_0,set_difference(esk8_0,X1))) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,plain,
( in(X1,set_union2(X2,set_difference(X3,X2)))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
set_union2(esk7_0,set_difference(esk8_0,esk7_0)) != esk8_0,
i_0_32 ).
cnf(c_0_89,plain,
~ in(esk6_2(set_union2(esk7_0,set_difference(esk8_0,esk7_0)),esk8_0),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_90,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_84]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Sun Jun 19 22:56:20 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.39 # ENIGMATIC: Selected complete mode:
% 44.27/7.22 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 44.27/7.22 # 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: 31; version: 991; iters: 150)
% 44.27/7.22 # Preprocessing time : 1.968 s
% 44.27/7.22 # Presaturation interreduction done
% 44.27/7.22
% 44.27/7.22 # Proof found!
% 44.27/7.22 # SZS status Theorem
% 44.27/7.22 # SZS output start CNFRefutation
% See solution above
% 44.27/7.22 # Training examples: 0 positive, 0 negative
% 44.27/7.22
% 44.27/7.22 # -------------------------------------------------
% 44.27/7.22 # User time : 3.964 s
% 44.27/7.22 # System time : 0.196 s
% 44.27/7.22 # Total time : 4.160 s
% 44.27/7.22 # ...preprocessing : 1.968 s
% 44.27/7.22 # ...main loop : 2.192 s
% 44.27/7.22 # Maximum resident set size: 187144 pages
% 44.27/7.22
%------------------------------------------------------------------------------