TSTP Solution File: SEU190+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:39:21 EDT 2022
% Result : Theorem 13.45s 3.23s
% Output : CNFRefutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 46 ( 8 unt; 20 nHn; 22 RR)
% Number of literals : 144 ( 56 equ; 67 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 105 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( X1 = relation_dom(X2)
| in(esk4_2(X2,X1),X1)
| in(unordered_pair(unordered_pair(esk4_2(X2,X1),esk5_2(X2,X1)),singleton(esk4_2(X2,X1))),X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_10) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_3) ).
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_9) ).
cnf(i_0_25,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_25) ).
cnf(i_0_7,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X1 != X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_7) ).
cnf(i_0_14,plain,
( X1 = relation_rng(X2)
| in(esk7_2(X2,X1),X1)
| in(unordered_pair(unordered_pair(esk8_2(X2,X1),esk7_2(X2,X1)),singleton(esk8_2(X2,X1))),X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_14) ).
cnf(i_0_8,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_8) ).
cnf(i_0_12,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_12) ).
cnf(i_0_11,plain,
( X1 = relation_dom(X2)
| ~ relation(X2)
| ~ in(esk4_2(X2,X1),X1)
| ~ in(unordered_pair(unordered_pair(esk4_2(X2,X1),X3),singleton(esk4_2(X2,X1))),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_11) ).
cnf(i_0_51,negated_conjecture,
( relation_dom(identity_relation(esk15_0)) != esk15_0
| relation_rng(identity_relation(esk15_0)) != esk15_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_51) ).
cnf(i_0_15,plain,
( X1 = relation_rng(X2)
| ~ relation(X2)
| ~ in(esk7_2(X2,X1),X1)
| ~ in(unordered_pair(unordered_pair(X3,esk7_2(X2,X1)),singleton(X3)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-70s256bm/input.p',i_0_15) ).
cnf(c_0_63,plain,
( X1 = relation_dom(X2)
| in(esk4_2(X2,X1),X1)
| in(unordered_pair(unordered_pair(esk4_2(X2,X1),esk5_2(X2,X1)),singleton(esk4_2(X2,X1))),X2)
| ~ relation(X2) ),
i_0_10 ).
cnf(c_0_64,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_65,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_9 ).
cnf(c_0_66,plain,
( X1 = relation_dom(X2)
| in(unordered_pair(singleton(esk4_2(X2,X1)),unordered_pair(esk4_2(X2,X1),esk5_2(X2,X1))),X2)
| in(esk4_2(X2,X1),X1)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
relation(identity_relation(X1)),
i_0_25 ).
cnf(c_0_68,plain,
( in(X1,X2)
| X3 != identity_relation(X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_69,plain,
( X1 = relation_dom(identity_relation(X2))
| in(unordered_pair(singleton(esk4_2(identity_relation(X2),X1)),unordered_pair(esk4_2(identity_relation(X2),X1),esk5_2(identity_relation(X2),X1))),identity_relation(X2))
| in(esk4_2(identity_relation(X2),X1),X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,plain,
( X1 = relation_dom(identity_relation(X2))
| in(esk4_2(identity_relation(X2),X1),X1)
| in(esk4_2(identity_relation(X2),X1),X3)
| identity_relation(X2) != identity_relation(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_67])]) ).
cnf(c_0_71,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X1 != X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(X1,X4) ),
i_0_7 ).
cnf(c_0_72,plain,
( X1 = relation_dom(identity_relation(X2))
| in(esk4_2(identity_relation(X2),X1),X2)
| in(esk4_2(identity_relation(X2),X1),X1) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_73,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
| X2 != identity_relation(X3)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_74,plain,
( relation_dom(identity_relation(X1)) = X1
| in(esk4_2(identity_relation(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_72]) ).
cnf(c_0_75,plain,
( X1 = relation_rng(X2)
| in(esk7_2(X2,X1),X1)
| in(unordered_pair(unordered_pair(esk8_2(X2,X1),esk7_2(X2,X1)),singleton(esk8_2(X2,X1))),X2)
| ~ relation(X2) ),
i_0_14 ).
cnf(c_0_76,plain,
( relation_dom(identity_relation(X1)) = X1
| in(unordered_pair(unordered_pair(esk4_2(identity_relation(X1),X1),esk4_2(identity_relation(X1),X1)),singleton(esk4_2(identity_relation(X1),X1))),X2)
| X2 != identity_relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_8 ).
cnf(c_0_78,plain,
( X1 = relation_rng(X2)
| in(unordered_pair(unordered_pair(esk7_2(X2,X1),esk8_2(X2,X1)),singleton(esk8_2(X2,X1))),X2)
| in(esk7_2(X2,X1),X1)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_75,c_0_64]) ).
cnf(c_0_79,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_12 ).
cnf(c_0_80,plain,
( X1 = relation_dom(X2)
| ~ relation(X2)
| ~ in(esk4_2(X2,X1),X1)
| ~ in(unordered_pair(unordered_pair(esk4_2(X2,X1),X3),singleton(esk4_2(X2,X1))),X2) ),
i_0_11 ).
cnf(c_0_81,plain,
( relation_dom(identity_relation(X1)) = X1
| in(unordered_pair(unordered_pair(esk4_2(identity_relation(X1),X1),esk4_2(identity_relation(X1),X1)),singleton(esk4_2(identity_relation(X1),X1))),identity_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_76]),c_0_67])]) ).
cnf(c_0_82,plain,
( X1 = X2
| X3 != identity_relation(X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_64]) ).
cnf(c_0_83,plain,
( X1 = relation_rng(identity_relation(X2))
| in(unordered_pair(unordered_pair(esk7_2(identity_relation(X2),X1),esk8_2(identity_relation(X2),X1)),singleton(esk8_2(identity_relation(X2),X1))),identity_relation(X2))
| in(esk7_2(identity_relation(X2),X1),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_67]) ).
cnf(c_0_84,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_64]) ).
cnf(c_0_85,plain,
relation_dom(identity_relation(X1)) = X1,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_67])]),c_0_74]) ).
cnf(c_0_86,plain,
( esk8_2(identity_relation(X1),X2) = esk7_2(identity_relation(X1),X2)
| X2 = relation_rng(identity_relation(X1))
| in(esk7_2(identity_relation(X1),X2),X2)
| identity_relation(X1) != identity_relation(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_67])]) ).
cnf(c_0_87,plain,
( X1 = relation_rng(identity_relation(X2))
| in(esk8_2(identity_relation(X2),X1),X2)
| in(esk7_2(identity_relation(X2),X1),X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_83]),c_0_67])]),c_0_85])]) ).
cnf(c_0_88,plain,
( esk8_2(identity_relation(X1),X2) = esk7_2(identity_relation(X1),X2)
| X2 = relation_rng(identity_relation(X1))
| in(esk7_2(identity_relation(X1),X2),X2) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_89,plain,
( X1 = relation_rng(identity_relation(X2))
| in(esk7_2(identity_relation(X2),X1),X1)
| in(esk7_2(identity_relation(X2),X1),X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,plain,
( relation_rng(identity_relation(X1)) = X1
| in(esk7_2(identity_relation(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_89]) ).
cnf(c_0_91,plain,
( relation_rng(identity_relation(X1)) = X1
| in(unordered_pair(unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1)),singleton(esk7_2(identity_relation(X1),X1))),X2)
| X2 != identity_relation(X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_90]) ).
cnf(c_0_92,negated_conjecture,
( relation_dom(identity_relation(esk15_0)) != esk15_0
| relation_rng(identity_relation(esk15_0)) != esk15_0 ),
i_0_51 ).
cnf(c_0_93,plain,
( X1 = relation_rng(X2)
| ~ relation(X2)
| ~ in(esk7_2(X2,X1),X1)
| ~ in(unordered_pair(unordered_pair(X3,esk7_2(X2,X1)),singleton(X3)),X2) ),
i_0_15 ).
cnf(c_0_94,plain,
( relation_rng(identity_relation(X1)) = X1
| in(unordered_pair(unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1)),singleton(esk7_2(identity_relation(X1),X1))),identity_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_67])]) ).
cnf(c_0_95,negated_conjecture,
relation_rng(identity_relation(esk15_0)) != esk15_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_85])]) ).
cnf(c_0_96,plain,
relation_rng(identity_relation(X1)) = X1,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_67])]),c_0_90]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 06:02:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 13.45/3.23 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.45/3.23 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.45/3.23 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 13.45/3.23 # Preprocessing time : 0.717 s
% 13.45/3.23
% 13.45/3.23 # Proof found!
% 13.45/3.23 # SZS status Theorem
% 13.45/3.23 # SZS output start CNFRefutation
% See solution above
% 13.45/3.23 # Training examples: 0 positive, 0 negative
% 13.45/3.23
% 13.45/3.23 # -------------------------------------------------
% 13.45/3.23 # User time : 0.755 s
% 13.45/3.23 # System time : 0.097 s
% 13.45/3.23 # Total time : 0.852 s
% 13.45/3.23 # ...preprocessing : 0.717 s
% 13.45/3.23 # ...main loop : 0.135 s
% 13.45/3.23 # Maximum resident set size: 150960 pages
% 13.45/3.23
%------------------------------------------------------------------------------