%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 08:38:07 EDT 2022
% Result : Theorem 7.93s 2.36s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 18 unt; 0 nHn; 14 RR)
% Number of literals : 64 ( 21 equ; 37 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 28 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_58,plain,
( identity_relation(relation_dom(X1)) = X1
| relation_composition(X2,X1) != X2
| relation_rng(X2) != relation_dom(X1)
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_58) ).
cnf(i_0_21,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_21) ).
cnf(i_0_68,plain,
relation_rng(identity_relation(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_68) ).
cnf(i_0_22,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_22) ).
cnf(i_0_7,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_7) ).
cnf(i_0_62,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_62) ).
cnf(i_0_60,plain,
one_to_one(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_60) ).
cnf(i_0_65,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_65) ).
cnf(i_0_69,plain,
relation_dom(identity_relation(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_69) ).
cnf(i_0_8,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_8) ).
cnf(i_0_66,negated_conjecture,
function_inverse(identity_relation(esk12_0)) != identity_relation(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7s80684/lgb.p',i_0_66) ).
cnf(c_0_81,plain,
( identity_relation(relation_dom(X1)) = X1
| relation_composition(X2,X1) != X2
| relation_rng(X2) != relation_dom(X1)
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2) ),
i_0_58 ).
cnf(c_0_82,plain,
function(identity_relation(X1)),
i_0_21 ).
cnf(c_0_83,plain,
relation_rng(identity_relation(X1)) = X1,
i_0_68 ).
cnf(c_0_84,plain,
relation(identity_relation(X1)),
i_0_22 ).
cnf(c_0_85,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_86,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_62 ).
cnf(c_0_87,plain,
one_to_one(identity_relation(X1)),
i_0_60 ).
cnf(c_0_88,plain,
( relation_composition(X1,function_inverse(X1)) = identity_relation(relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_65 ).
cnf(c_0_89,plain,
relation_dom(identity_relation(X1)) = X1,
i_0_69 ).
cnf(c_0_90,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_91,plain,
( identity_relation(relation_dom(X1)) = X1
| relation_composition(identity_relation(relation_dom(X1)),X1) != identity_relation(relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84])])]) ).
cnf(c_0_92,plain,
function(function_inverse(identity_relation(X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_82]),c_0_84])]) ).
cnf(c_0_93,plain,
relation_dom(function_inverse(identity_relation(X1))) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_82]),c_0_83]),c_0_87]),c_0_84])]) ).
cnf(c_0_94,plain,
relation_composition(identity_relation(X1),function_inverse(identity_relation(X1))) = identity_relation(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_82]),c_0_89]),c_0_87]),c_0_84])]) ).
cnf(c_0_95,plain,
relation(function_inverse(identity_relation(X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_82]),c_0_84])]) ).
cnf(c_0_96,negated_conjecture,
function_inverse(identity_relation(esk12_0)) != identity_relation(esk12_0),
i_0_66 ).
cnf(c_0_97,plain,
function_inverse(identity_relation(X1)) = identity_relation(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_93]),c_0_94]),c_0_93]),c_0_95])]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n019.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 : Mon Jun 20 03:25:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 7.93/2.36 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.93/2.36 # No SInE strategy applied
% 7.93/2.36 # Trying AutoSched0 for 150 seconds
% 7.93/2.36 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.93/2.36 # and selection function SelectCQArEqLast.
% 7.93/2.36 #
% 7.93/2.36 # Preprocessing time : 0.013 s
% 7.93/2.36 # Presaturation interreduction done
% 7.93/2.36
% 7.93/2.36 # Proof found!
% 7.93/2.36 # SZS status Theorem
% 7.93/2.36 # SZS output start CNFRefutation
% See solution above
% 7.93/2.36 # Training examples: 0 positive, 0 negative
% 7.93/2.36
% 7.93/2.36 # -------------------------------------------------
% 7.93/2.36 # User time : 0.019 s
% 7.93/2.36 # System time : 0.005 s
% 7.93/2.36 # Total time : 0.024 s
% 7.93/2.36 # Maximum resident set size: 7128 pages
% 7.93/2.36
%------------------------------------------------------------------------------