TSTP Solution File: SET951+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET951+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:15:29 EDT 2022
% Result : Theorem 14.45s 3.26s
% Output : CNFRefutation 14.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 57 ( 21 unt; 0 nHn; 53 RR)
% Number of literals : 112 ( 49 equ; 60 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 123 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4)),singleton(esk1_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_9) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_2) ).
cnf(i_0_16,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_16) ).
cnf(i_0_26,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_26) ).
cnf(i_0_24,negated_conjecture,
in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_24) ).
cnf(i_0_17,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_17) ).
cnf(i_0_25,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_25) ).
cnf(i_0_11,plain,
( in(esk1_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_11) ).
cnf(i_0_10,plain,
( in(esk2_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_10) ).
cnf(i_0_15,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_15) ).
cnf(i_0_23,negated_conjecture,
( unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk9_0
| ~ in(X2,set_intersection2(esk11_0,esk13_0))
| ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_23) ).
cnf(i_0_3,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wvkx52cw/input.p',i_0_3) ).
cnf(c_0_39,plain,
( unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4)),singleton(esk1_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_9 ).
cnf(c_0_40,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_41,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_16 ).
cnf(c_0_42,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
i_0_26 ).
cnf(c_0_43,plain,
( unordered_pair(singleton(esk1_4(X1,X2,X3,X4)),unordered_pair(esk1_4(X1,X2,X3,X4),esk2_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0))),
i_0_24 ).
cnf(c_0_46,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_17 ).
cnf(c_0_47,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_48,plain,
( unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3))) = X3
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
in(esk9_0,cartesian_product2(esk12_0,esk13_0)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
i_0_25 ).
cnf(c_0_52,plain,
( X1 = X2
| unordered_pair(singleton(X1),unordered_pair(X1,X3)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_53,negated_conjecture,
unordered_pair(singleton(esk1_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0)),unordered_pair(esk1_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0),esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0))) = esk9_0,
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
in(esk9_0,cartesian_product2(esk10_0,esk11_0)),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_55,plain,
( in(esk1_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_11 ).
cnf(c_0_56,plain,
( in(esk2_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_10 ).
cnf(c_0_57,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_40]) ).
cnf(c_0_58,plain,
( X1 = esk1_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0)
| unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk9_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
unordered_pair(singleton(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0)),unordered_pair(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0))) = esk9_0,
inference(spm,[status(thm)],[c_0_48,c_0_54]) ).
cnf(c_0_60,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_15 ).
cnf(c_0_61,plain,
( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( X1 = X2
| unordered_pair(singleton(X3),unordered_pair(X3,X1)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
esk1_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0) = esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
( unordered_pair(unordered_pair(X1,X2),singleton(X1)) != esk9_0
| ~ in(X2,set_intersection2(esk11_0,esk13_0))
| ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
i_0_23 ).
cnf(c_0_66,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),esk10_0),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_68,negated_conjecture,
in(esk1_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0),esk12_0),
inference(spm,[status(thm)],[c_0_61,c_0_49]) ).
cnf(c_0_69,negated_conjecture,
in(esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0),esk13_0),
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
cnf(c_0_70,plain,
( X1 = esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0)
| unordered_pair(singleton(X2),unordered_pair(X2,X1)) != esk9_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
unordered_pair(singleton(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0)),unordered_pair(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0))) = esk9_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_64]),c_0_64]) ).
cnf(c_0_72,plain,
( unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk9_0
| ~ in(X2,set_intersection2(esk11_0,esk13_0))
| ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_40]) ).
cnf(c_0_73,plain,
( in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(X1,esk10_0))
| ~ in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),esk12_0),
inference(rw,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_75,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_3 ).
cnf(c_0_76,plain,
( in(esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0),set_intersection2(X1,esk13_0))
| ~ in(esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_69]) ).
cnf(c_0_77,plain,
esk2_4(esk12_0,esk13_0,cartesian_product2(esk12_0,esk13_0),esk9_0) = esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( ~ in(esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(esk11_0,esk13_0))
| ~ in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(esk10_0,esk12_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_59]) ).
cnf(c_0_79,negated_conjecture,
in(esk1_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(esk10_0,esk12_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_80,plain,
( in(esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(X1,esk13_0))
| ~ in(esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77]),c_0_77]) ).
cnf(c_0_81,negated_conjecture,
in(esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),esk11_0),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_82,plain,
~ in(esk2_4(esk10_0,esk11_0,cartesian_product2(esk10_0,esk11_0),esk9_0),set_intersection2(esk11_0,esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET951+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 : n018.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 : Sat Jul 9 23:52:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 14.45/3.26 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 14.45/3.26 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 14.45/3.26 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 55; version: 991; iters: 150)
% 14.45/3.26 # Preprocessing time : 0.779 s
% 14.45/3.26
% 14.45/3.26 # Proof found!
% 14.45/3.26 # SZS status Theorem
% 14.45/3.26 # SZS output start CNFRefutation
% See solution above
% 14.45/3.26 # Training examples: 0 positive, 0 negative
% 14.45/3.26
% 14.45/3.26 # -------------------------------------------------
% 14.45/3.26 # User time : 0.803 s
% 14.45/3.26 # System time : 0.118 s
% 14.45/3.26 # Total time : 0.921 s
% 14.45/3.26 # ...preprocessing : 0.779 s
% 14.45/3.26 # ...main loop : 0.142 s
% 14.45/3.26 # Maximum resident set size: 151912 pages
% 14.45/3.26
%------------------------------------------------------------------------------