TSTP Solution File: SEU135+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU135+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:38:43 EDT 2022
% Result : Theorem 18.16s 3.67s
% Output : CNFRefutation 18.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 48 ( 14 unt; 15 nHn; 26 RR)
% Number of literals : 103 ( 22 equ; 40 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 132 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_9) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_10) ).
cnf(i_0_11,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_11) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_12) ).
cnf(i_0_13,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_13) ).
cnf(i_0_20,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_20) ).
cnf(i_0_18,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_18) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_3) ).
cnf(i_0_2,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_2) ).
cnf(i_0_32,negated_conjecture,
set_union2(esk6_0,set_difference(esk7_0,esk6_0)) != set_union2(esk6_0,esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-bkhuy3mi/input.p',i_0_32) ).
cnf(c_0_43,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X4) ),
i_0_9 ).
cnf(c_0_44,plain,
( in(X1,X2)
| X2 != set_union2(X3,X4)
| ~ in(X1,X3) ),
i_0_10 ).
cnf(c_0_45,plain,
( in(X1,X2)
| in(X1,X3)
| X4 != set_union2(X3,X2)
| ~ in(X1,X4) ),
i_0_11 ).
cnf(c_0_46,plain,
( subset(X1,X2)
| ~ in(esk2_2(X1,X2),X2) ),
i_0_12 ).
cnf(c_0_47,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( in(X1,set_union2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( subset(X1,X2)
| in(esk2_2(X1,X2),X1) ),
i_0_13 ).
cnf(c_0_51,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
i_0_20 ).
cnf(c_0_52,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk2_2(X1,set_union2(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( subset(X1,set_union2(X2,X3))
| ~ in(esk2_2(X1,set_union2(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_54,plain,
( in(esk2_2(set_union2(X1,X2),X3),X2)
| in(esk2_2(set_union2(X1,X2),X3),X1)
| subset(set_union2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( subset(X1,set_union2(X2,set_union2(X3,X4)))
| ~ in(esk2_2(X1,set_union2(X2,set_union2(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_57,plain,
( in(esk2_2(set_union2(X1,X2),set_union2(X1,X3)),X2)
| subset(set_union2(X1,X2),set_union2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( in(esk2_2(set_union2(X1,X2),set_union2(X3,X1)),X2)
| subset(set_union2(X1,X2),set_union2(X3,X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_59,plain,
( in(esk2_2(set_union2(X1,set_difference(X2,X3)),X4),X1)
| in(esk2_2(set_union2(X1,set_difference(X2,X3)),X4),X2)
| subset(set_union2(X1,set_difference(X2,X3)),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_54]) ).
cnf(c_0_60,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
i_0_18 ).
cnf(c_0_61,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_3 ).
cnf(c_0_62,plain,
subset(set_union2(X1,X2),set_union2(X1,set_union2(X2,X3))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
subset(set_union2(X1,set_union2(X2,X1)),set_union2(X2,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_58]) ).
cnf(c_0_64,plain,
subset(X1,set_union2(X2,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_65,plain,
( in(esk2_2(set_union2(X1,set_difference(X1,X2)),X3),X1)
| subset(set_union2(X1,set_difference(X1,X2)),X3) ),
inference(ef,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_2 ).
cnf(c_0_67,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
( set_union2(X1,set_union2(X2,X3)) = set_union2(X1,X2)
| ~ subset(set_union2(X1,set_union2(X2,X3)),set_union2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
set_union2(X1,set_union2(X2,X1)) = set_union2(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_63]),c_0_64])]) ).
cnf(c_0_70,plain,
subset(set_union2(X1,set_difference(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_71,plain,
subset(X1,set_union2(X1,X2)),
inference(spm,[status(thm)],[c_0_64,c_0_66]) ).
cnf(c_0_72,plain,
( in(esk2_2(X1,set_union2(set_difference(X2,X3),X4)),X3)
| subset(X1,set_union2(set_difference(X2,X3),X4))
| ~ in(esk2_2(X1,set_union2(set_difference(X2,X3),X4)),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]) ).
cnf(c_0_73,plain,
( set_union2(X1,set_union2(X2,X3)) = set_union2(X1,X3)
| ~ subset(set_union2(X1,set_union2(X2,X3)),set_union2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
set_union2(X1,set_difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_70]),c_0_71])]) ).
cnf(c_0_75,plain,
( in(esk2_2(set_union2(X1,X2),set_union2(set_difference(X2,X3),X1)),X3)
| subset(set_union2(X1,X2),set_union2(set_difference(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_72,c_0_58]) ).
cnf(c_0_76,plain,
( set_union2(X1,set_difference(X2,X3)) = set_union2(X1,X2)
| ~ subset(set_union2(X1,X2),set_union2(X1,set_difference(X2,X3))) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
subset(set_union2(X1,X2),set_union2(X1,set_difference(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_75]),c_0_66]) ).
cnf(c_0_78,negated_conjecture,
set_union2(esk6_0,set_difference(esk7_0,esk6_0)) != set_union2(esk6_0,esk7_0),
i_0_32 ).
cnf(c_0_79,plain,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU135+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 11:14:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 18.16/3.67 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 18.16/3.67 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 18.16/3.67 # Preprocessing time : 0.855 s
% 18.16/3.67
% 18.16/3.67 # Proof found!
% 18.16/3.67 # SZS status Theorem
% 18.16/3.67 # SZS output start CNFRefutation
% See solution above
% 18.16/3.67 # Training examples: 0 positive, 0 negative
% 18.16/3.67
% 18.16/3.67 # -------------------------------------------------
% 18.16/3.67 # User time : 1.299 s
% 18.16/3.67 # System time : 0.135 s
% 18.16/3.67 # Total time : 1.434 s
% 18.16/3.67 # ...preprocessing : 0.855 s
% 18.16/3.67 # ...main loop : 0.580 s
% 18.16/3.67 # Maximum resident set size: 168620 pages
% 18.16/3.67
%------------------------------------------------------------------------------