TSTP Solution File: SET888+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET888+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 00:15:02 EDT 2022
% Result : Theorem 22.99s 4.25s
% Output : CNFRefutation 22.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 56 ( 14 unt; 33 nHn; 23 RR)
% Number of literals : 153 ( 97 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_8) ).
cnf(i_0_23,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(set_difference(X3,X2),set_difference(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_23) ).
cnf(i_0_9,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) = X3
| esk2_3(X2,X3,X1) = X2
| in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_9) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_7) ).
cnf(i_0_11,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X2
| ~ in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_11) ).
cnf(i_0_22,plain,
( in(X1,X2)
| in(X1,set_union2(set_difference(X3,X2),set_difference(X2,X3)))
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_22) ).
cnf(i_0_10,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X3
| ~ in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_10) ).
cnf(i_0_21,plain,
( in(X1,X2)
| in(X1,set_union2(set_difference(X2,X3),set_difference(X3,X2)))
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_21) ).
cnf(i_0_25,negated_conjecture,
set_union2(set_difference(singleton(esk5_0),singleton(esk6_0)),set_difference(singleton(esk6_0),singleton(esk5_0))) != unordered_pair(esk5_0,esk6_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_25) ).
cnf(i_0_3,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_3) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_2) ).
cnf(i_0_14,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_14) ).
cnf(i_0_26,negated_conjecture,
esk5_0 != esk6_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ka5580iv/input.p',i_0_26) ).
cnf(c_0_40,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_8 ).
cnf(c_0_41,plain,
( in(X1,X2)
| in(X1,X3)
| ~ in(X1,set_union2(set_difference(X3,X2),set_difference(X2,X3))) ),
i_0_23 ).
cnf(c_0_42,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) = X3
| esk2_3(X2,X3,X1) = X2
| in(esk2_3(X2,X3,X1),X1) ),
i_0_9 ).
cnf(c_0_43,plain,
( X1 = X2
| ~ in(X1,singleton(X2)) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_44,plain,
( esk2_3(X1,X2,set_union2(set_difference(X3,X4),set_difference(X4,X3))) = X2
| esk2_3(X1,X2,set_union2(set_difference(X3,X4),set_difference(X4,X3))) = X1
| set_union2(set_difference(X3,X4),set_difference(X4,X3)) = unordered_pair(X1,X2)
| in(esk2_3(X1,X2,set_union2(set_difference(X3,X4),set_difference(X4,X3))),X3)
| in(esk2_3(X1,X2,set_union2(set_difference(X3,X4),set_difference(X4,X3))),X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
( esk2_3(X1,X2,set_union2(set_difference(X3,singleton(X4)),set_difference(singleton(X4),X3))) = X4
| esk2_3(X1,X2,set_union2(set_difference(X3,singleton(X4)),set_difference(singleton(X4),X3))) = X2
| esk2_3(X1,X2,set_union2(set_difference(X3,singleton(X4)),set_difference(singleton(X4),X3))) = X1
| set_union2(set_difference(X3,singleton(X4)),set_difference(singleton(X4),X3)) = unordered_pair(X1,X2)
| in(esk2_3(X1,X2,set_union2(set_difference(X3,singleton(X4)),set_difference(singleton(X4),X3))),X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_46,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X4)),set_difference(singleton(X4),singleton(X3)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X4)),set_difference(singleton(X4),singleton(X3)))) = X4
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X4)),set_difference(singleton(X4),singleton(X3)))) = X2
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X4)),set_difference(singleton(X4),singleton(X3)))) = X1
| set_union2(set_difference(singleton(X3),singleton(X4)),set_difference(singleton(X4),singleton(X3))) = unordered_pair(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_47,plain,
( in(X1,X2)
| X1 != X3
| X2 != singleton(X3) ),
i_0_7 ).
cnf(c_0_48,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X2
| ~ in(esk2_3(X2,X3,X1),X1) ),
i_0_11 ).
cnf(c_0_49,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X2
| esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X1
| set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1))) = unordered_pair(X1,X2) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_46])]) ).
cnf(c_0_50,plain,
( in(X1,X2)
| in(X1,set_union2(set_difference(X3,X2),set_difference(X2,X3)))
| ~ in(X1,X3) ),
i_0_22 ).
cnf(c_0_51,plain,
in(X1,singleton(X1)),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])]) ).
cnf(c_0_52,plain,
( esk2_3(X1,X2,singleton(X3)) = X3
| esk2_3(X1,X2,singleton(X3)) = X2
| esk2_3(X1,X2,singleton(X3)) = X1
| singleton(X3) = unordered_pair(X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_42]) ).
cnf(c_0_53,plain,
( X1 = unordered_pair(X2,X3)
| esk2_3(X2,X3,X1) != X3
| ~ in(esk2_3(X2,X3,X1),X1) ),
i_0_10 ).
cnf(c_0_54,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X2
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X1
| set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3))) = unordered_pair(X1,X2) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_46])]) ).
cnf(c_0_55,plain,
( in(X1,X2)
| in(X1,set_union2(set_difference(X2,X3),set_difference(X3,X2)))
| ~ in(X1,X3) ),
i_0_21 ).
cnf(c_0_56,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X2
| set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1))) = unordered_pair(X1,X2)
| ~ in(X1,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( in(X1,set_union2(set_difference(singleton(X1),X2),set_difference(X2,singleton(X1))))
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( esk2_3(X1,X2,singleton(X2)) = X2
| esk2_3(X1,X2,singleton(X2)) = X1
| singleton(X2) = unordered_pair(X1,X2) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_52])]) ).
cnf(c_0_59,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X1
| set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3))) = unordered_pair(X1,X2)
| ~ in(X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( in(X1,set_union2(set_difference(X2,singleton(X1)),set_difference(singleton(X1),X2)))
| in(X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_61,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1)))) = X2
| set_union2(set_difference(singleton(X1),singleton(X3)),set_difference(singleton(X3),singleton(X1))) = unordered_pair(X1,X2)
| in(X1,singleton(X3)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( esk2_3(X1,X2,singleton(X2)) = X1
| singleton(X2) = unordered_pair(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_58]),c_0_51])]) ).
cnf(c_0_63,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X3
| esk2_3(X1,X2,set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3)))) = X1
| set_union2(set_difference(singleton(X3),singleton(X2)),set_difference(singleton(X2),singleton(X3))) = unordered_pair(X1,X2)
| in(X2,singleton(X3)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X2)),set_difference(singleton(X2),singleton(X1)))) = X2
| set_union2(set_difference(singleton(X1),singleton(X2)),set_difference(singleton(X2),singleton(X1))) = unordered_pair(X1,X2)
| in(X1,singleton(X2)) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_61])]) ).
cnf(c_0_65,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_62])]),c_0_51])]) ).
cnf(c_0_66,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),singleton(X2)),set_difference(singleton(X2),singleton(X1)))) = X1
| set_union2(set_difference(singleton(X1),singleton(X2)),set_difference(singleton(X2),singleton(X1))) = unordered_pair(X1,X2)
| in(X2,singleton(X1)) ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_63])]) ).
cnf(c_0_67,negated_conjecture,
set_union2(set_difference(singleton(esk5_0),singleton(esk6_0)),set_difference(singleton(esk6_0),singleton(esk5_0))) != unordered_pair(esk5_0,esk6_0),
i_0_25 ).
cnf(c_0_68,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_3 ).
cnf(c_0_69,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_70,plain,
( esk2_3(X1,X2,set_union2(set_difference(singleton(X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),singleton(X1)))) = X2
| set_union2(set_difference(singleton(X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),singleton(X1))) = unordered_pair(X1,X2)
| in(X1,unordered_pair(X2,X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( esk2_3(X1,X2,set_union2(set_difference(unordered_pair(X1,X1),singleton(X2)),set_difference(singleton(X2),unordered_pair(X1,X1)))) = X1
| set_union2(set_difference(unordered_pair(X1,X1),singleton(X2)),set_difference(singleton(X2),unordered_pair(X1,X1))) = unordered_pair(X1,X2)
| in(X2,unordered_pair(X1,X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
set_union2(set_difference(singleton(esk6_0),singleton(esk5_0)),set_difference(singleton(esk5_0),singleton(esk6_0))) != unordered_pair(esk6_0,esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_73,plain,
( esk2_3(X1,X2,set_union2(set_difference(unordered_pair(X1,X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),unordered_pair(X1,X1)))) = X2
| set_union2(set_difference(unordered_pair(X1,X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),unordered_pair(X1,X1))) = unordered_pair(X1,X2)
| in(X1,unordered_pair(X2,X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_65]) ).
cnf(c_0_74,plain,
( esk2_3(X1,X2,set_union2(set_difference(unordered_pair(X1,X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),unordered_pair(X1,X1)))) = X1
| set_union2(set_difference(unordered_pair(X1,X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),unordered_pair(X1,X1))) = unordered_pair(X1,X2)
| in(X2,unordered_pair(X1,X1)) ),
inference(spm,[status(thm)],[c_0_71,c_0_65]) ).
cnf(c_0_75,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
i_0_14 ).
cnf(c_0_76,negated_conjecture,
set_union2(set_difference(unordered_pair(esk6_0,esk6_0),unordered_pair(esk5_0,esk5_0)),set_difference(unordered_pair(esk5_0,esk5_0),unordered_pair(esk6_0,esk6_0))) != unordered_pair(esk6_0,esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_65]),c_0_65]),c_0_65]),c_0_65]) ).
cnf(c_0_77,plain,
( set_union2(set_difference(unordered_pair(X1,X1),unordered_pair(X2,X2)),set_difference(unordered_pair(X2,X2),unordered_pair(X1,X1))) = unordered_pair(X1,X2)
| X1 = X2
| in(X1,unordered_pair(X2,X2))
| in(X2,unordered_pair(X1,X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
esk5_0 != esk6_0,
i_0_26 ).
cnf(c_0_79,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_80,negated_conjecture,
( in(esk6_0,unordered_pair(esk5_0,esk5_0))
| in(esk5_0,unordered_pair(esk6_0,esk6_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_81,plain,
in(esk6_0,unordered_pair(esk5_0,esk5_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_78]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_81]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET888+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 22:04:48 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 22.99/4.25 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 22.99/4.25 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 22.99/4.25 # Preprocessing time : 0.835 s
% 22.99/4.25 # Presaturation interreduction done
% 22.99/4.25
% 22.99/4.25 # Proof found!
% 22.99/4.25 # SZS status Theorem
% 22.99/4.25 # SZS output start CNFRefutation
% See solution above
% 22.99/4.25 # Training examples: 0 positive, 0 negative
% 22.99/4.25
% 22.99/4.25 # -------------------------------------------------
% 22.99/4.25 # User time : 1.825 s
% 22.99/4.25 # System time : 0.120 s
% 22.99/4.25 # Total time : 1.945 s
% 22.99/4.25 # ...preprocessing : 0.835 s
% 22.99/4.25 # ...main loop : 1.110 s
% 22.99/4.25 # Maximum resident set size: 166600 pages
% 22.99/4.25
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