%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU195+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:39:24 EDT 2022
% Result : Theorem 17.30s 3.65s
% Output : CNFRefutation 17.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 10 unt; 15 nHn; 22 RR)
% Number of literals : 139 ( 26 equ; 71 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 103 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X2)
| ~ relation(X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_4) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_3) ).
cnf(i_0_49,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_49) ).
cnf(i_0_45,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(identity_relation(X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_45) ).
cnf(i_0_5,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(esk1_3(X2,X3,X1),X3)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| ~ relation(X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_5) ).
cnf(i_0_44,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(identity_relation(X4),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_44) ).
cnf(i_0_19,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_19) ).
cnf(i_0_20,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_20) ).
cnf(i_0_6,plain,
( X1 = relation_dom_restriction(X2,X3)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(esk1_3(X2,X3,X1),X3)
| ~ in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| ~ in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_6) ).
cnf(i_0_43,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(identity_relation(X3),X4))
| ~ relation(X4)
| ~ in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_43) ).
cnf(i_0_48,negated_conjecture,
relation_composition(identity_relation(esk10_0),esk11_0) != relation_dom_restriction(esk11_0,esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vec648mt/input.p',i_0_48) ).
cnf(c_0_61,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X2)
| ~ relation(X1)
| ~ relation(X2) ),
i_0_4 ).
cnf(c_0_62,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_63,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(unordered_pair(singleton(esk1_3(X2,X3,X1)),unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1))),X1)
| in(unordered_pair(singleton(esk1_3(X2,X3,X1)),unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1))),X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_62]) ).
cnf(c_0_64,negated_conjecture,
relation(esk11_0),
i_0_49 ).
cnf(c_0_65,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(identity_relation(X2),X3)) ),
i_0_45 ).
cnf(c_0_66,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(esk1_3(X2,X3,X1),X3)
| in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| ~ relation(X1)
| ~ relation(X2) ),
i_0_5 ).
cnf(c_0_67,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(identity_relation(X4),X3)) ),
i_0_44 ).
cnf(c_0_68,negated_conjecture,
( X1 = relation_dom_restriction(esk11_0,X2)
| in(unordered_pair(singleton(esk1_3(esk11_0,X2,X1)),unordered_pair(esk1_3(esk11_0,X2,X1),esk2_3(esk11_0,X2,X1))),esk11_0)
| in(unordered_pair(singleton(esk1_3(esk11_0,X2,X1)),unordered_pair(esk1_3(esk11_0,X2,X1),esk2_3(esk11_0,X2,X1))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_19 ).
cnf(c_0_70,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),relation_composition(identity_relation(X2),X4))
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_71,plain,
( X1 = relation_dom_restriction(X2,X3)
| in(unordered_pair(singleton(esk1_3(X2,X3,X1)),unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1))),X1)
| in(esk1_3(X2,X3,X1),X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_66,c_0_62]) ).
cnf(c_0_72,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_composition(identity_relation(X4),X3))
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_73,plain,
( relation_composition(X1,X2) = relation_dom_restriction(esk11_0,X3)
| in(unordered_pair(singleton(esk1_3(esk11_0,X3,relation_composition(X1,X2))),unordered_pair(esk1_3(esk11_0,X3,relation_composition(X1,X2)),esk2_3(esk11_0,X3,relation_composition(X1,X2)))),relation_composition(X1,X2))
| in(unordered_pair(singleton(esk1_3(esk11_0,X3,relation_composition(X1,X2))),unordered_pair(esk1_3(esk11_0,X3,relation_composition(X1,X2)),esk2_3(esk11_0,X3,relation_composition(X1,X2)))),esk11_0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,plain,
relation(identity_relation(X1)),
i_0_20 ).
cnf(c_0_75,plain,
( relation_composition(identity_relation(X1),X2) = relation_dom_restriction(X3,X4)
| in(esk1_3(X3,X4,relation_composition(identity_relation(X1),X2)),X4)
| in(esk1_3(X3,X4,relation_composition(identity_relation(X1),X2)),X1)
| ~ relation(relation_composition(identity_relation(X1),X2))
| ~ relation(X2)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
( X1 = relation_dom_restriction(X2,X3)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(esk1_3(X2,X3,X1),X3)
| ~ in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X1)
| ~ in(unordered_pair(unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1)),singleton(esk1_3(X2,X3,X1))),X2) ),
i_0_6 ).
cnf(c_0_77,plain,
( relation_composition(identity_relation(X1),X2) = relation_dom_restriction(esk11_0,X3)
| in(unordered_pair(singleton(esk1_3(esk11_0,X3,relation_composition(identity_relation(X1),X2))),unordered_pair(esk1_3(esk11_0,X3,relation_composition(identity_relation(X1),X2)),esk2_3(esk11_0,X3,relation_composition(identity_relation(X1),X2)))),esk11_0)
| in(unordered_pair(singleton(esk1_3(esk11_0,X3,relation_composition(identity_relation(X1),X2))),unordered_pair(esk1_3(esk11_0,X3,relation_composition(identity_relation(X1),X2)),esk2_3(esk11_0,X3,relation_composition(identity_relation(X1),X2)))),X2)
| ~ relation(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_78,plain,
( relation_composition(identity_relation(X1),X2) = relation_dom_restriction(X3,X4)
| in(esk1_3(X3,X4,relation_composition(identity_relation(X1),X2)),X1)
| in(esk1_3(X3,X4,relation_composition(identity_relation(X1),X2)),X4)
| ~ relation(X2)
| ~ relation(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_74])]) ).
cnf(c_0_79,plain,
( X1 = relation_dom_restriction(X2,X3)
| ~ in(unordered_pair(singleton(esk1_3(X2,X3,X1)),unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1))),X2)
| ~ in(unordered_pair(singleton(esk1_3(X2,X3,X1)),unordered_pair(esk1_3(X2,X3,X1),esk2_3(X2,X3,X1))),X1)
| ~ in(esk1_3(X2,X3,X1),X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_62]),c_0_62]) ).
cnf(c_0_80,negated_conjecture,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X2)
| in(unordered_pair(singleton(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0))),unordered_pair(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),esk2_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)))),esk11_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_64]) ).
cnf(c_0_81,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(identity_relation(X3),X4))
| ~ relation(X4)
| ~ in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_43 ).
cnf(c_0_82,negated_conjecture,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(X2,X3)
| in(esk1_3(X2,X3,relation_composition(identity_relation(X1),esk11_0)),X3)
| in(esk1_3(X2,X3,relation_composition(identity_relation(X1),esk11_0)),X1)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_64]) ).
cnf(c_0_83,plain,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X2)
| ~ in(unordered_pair(singleton(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0))),unordered_pair(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),esk2_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)))),relation_composition(identity_relation(X1),esk11_0))
| ~ in(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),X2)
| ~ relation(relation_composition(identity_relation(X1),esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_64])]) ).
cnf(c_0_84,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_composition(identity_relation(X3),X4))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X4)
| ~ in(X1,X3)
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_81,c_0_62]) ).
cnf(c_0_85,negated_conjecture,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X2)
| in(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),X1)
| in(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_64]) ).
cnf(c_0_86,plain,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X2)
| ~ in(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),X2)
| ~ in(esk1_3(esk11_0,X2,relation_composition(identity_relation(X1),esk11_0)),X1)
| ~ relation(relation_composition(identity_relation(X1),esk11_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_64])]),c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X1)
| in(esk1_3(esk11_0,X1,relation_composition(identity_relation(X1),esk11_0)),X1) ),
inference(ef,[status(thm)],[c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X1)
| ~ relation(relation_composition(identity_relation(X1),esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87]) ).
cnf(c_0_89,negated_conjecture,
relation_composition(identity_relation(esk10_0),esk11_0) != relation_dom_restriction(esk11_0,esk10_0),
i_0_48 ).
cnf(c_0_90,plain,
relation_composition(identity_relation(X1),esk11_0) = relation_dom_restriction(esk11_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_69]),c_0_64]),c_0_74])]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU195+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sat Jun 18 23:45:15 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 17.30/3.65 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.30/3.65 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 17.30/3.65 # Preprocessing time : 1.084 s
% 17.30/3.65
% 17.30/3.65 # Proof found!
% 17.30/3.65 # SZS status Theorem
% 17.30/3.65 # SZS output start CNFRefutation
% See solution above
% 17.30/3.65 # Training examples: 0 positive, 0 negative
% 17.30/3.65
% 17.30/3.65 # -------------------------------------------------
% 17.30/3.65 # User time : 1.041 s
% 17.30/3.65 # System time : 0.135 s
% 17.30/3.65 # Total time : 1.176 s
% 17.30/3.65 # ...preprocessing : 1.084 s
% 17.30/3.65 # ...main loop : 0.092 s
% 17.30/3.65 # Maximum resident set size: 174828 pages
% 17.30/3.65
%------------------------------------------------------------------------------