TSTP Solution File: SEU220+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:39:42 EDT 2022
% Result : Theorem 8.17s 2.48s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 25 RR)
% Number of literals : 77 ( 18 equ; 55 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_68,plain,
( X1 = apply(X2,X3)
| X4 != function_inverse(X2)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X2)
| ~ in(X1,relation_rng(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_68) ).
cnf(i_0_7,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_7) ).
cnf(i_0_8,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_8) ).
cnf(i_0_74,negated_conjecture,
in(esk16_0,relation_rng(esk17_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_74) ).
cnf(i_0_75,negated_conjecture,
one_to_one(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_75) ).
cnf(i_0_77,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_77) ).
cnf(i_0_76,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_76) ).
cnf(i_0_73,negated_conjecture,
( apply(esk17_0,apply(function_inverse(esk17_0),esk16_0)) != esk16_0
| apply(relation_composition(function_inverse(esk17_0),esk17_0),esk16_0) != esk16_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_73) ).
cnf(i_0_52,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_52) ).
cnf(i_0_72,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ukht8egg/lgb.p',i_0_72) ).
cnf(c_0_88,plain,
( X1 = apply(X2,X3)
| X4 != function_inverse(X2)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X2)
| ~ in(X1,relation_rng(X2)) ),
i_0_68 ).
cnf(c_0_89,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_7 ).
cnf(c_0_90,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_91,plain,
( apply(X1,apply(function_inverse(X1),X2)) = X2
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])]),c_0_89]),c_0_90]) ).
cnf(c_0_92,negated_conjecture,
in(esk16_0,relation_rng(esk17_0)),
i_0_74 ).
cnf(c_0_93,negated_conjecture,
one_to_one(esk17_0),
i_0_75 ).
cnf(c_0_94,negated_conjecture,
relation(esk17_0),
i_0_77 ).
cnf(c_0_95,negated_conjecture,
function(esk17_0),
i_0_76 ).
cnf(c_0_96,negated_conjecture,
( apply(esk17_0,apply(function_inverse(esk17_0),esk16_0)) != esk16_0
| apply(relation_composition(function_inverse(esk17_0),esk17_0),esk16_0) != esk16_0 ),
i_0_73 ).
cnf(c_0_97,negated_conjecture,
apply(esk17_0,apply(function_inverse(esk17_0),esk16_0)) = esk16_0,
inference(cn,[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_94]),c_0_95])]) ).
cnf(c_0_98,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1)) ),
i_0_52 ).
cnf(c_0_99,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X1) ),
i_0_72 ).
cnf(c_0_100,negated_conjecture,
apply(relation_composition(function_inverse(esk17_0),esk17_0),esk16_0) != esk16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
cnf(c_0_101,plain,
( apply(relation_composition(function_inverse(X1),X2),X3) = apply(X2,apply(function_inverse(X1),X3))
| ~ one_to_one(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X3,relation_rng(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_89]),c_0_90]) ).
cnf(c_0_102,negated_conjecture,
$false,
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_100,c_0_101]),c_0_97]),c_0_93]),c_0_94]),c_0_95]),c_0_92])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 03:19:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 # ENIGMATIC: Selected complete mode:
% 8.17/2.48 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.48 # No SInE strategy applied
% 8.17/2.48 # Trying AutoSched0 for 150 seconds
% 8.17/2.48 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.17/2.48 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.17/2.48 #
% 8.17/2.48 # Preprocessing time : 0.024 s
% 8.17/2.48 # Presaturation interreduction done
% 8.17/2.48
% 8.17/2.48 # Proof found!
% 8.17/2.48 # SZS status Theorem
% 8.17/2.48 # SZS output start CNFRefutation
% See solution above
% 8.17/2.48 # Training examples: 0 positive, 0 negative
% 8.17/2.48
% 8.17/2.48 # -------------------------------------------------
% 8.17/2.48 # User time : 0.028 s
% 8.17/2.48 # System time : 0.005 s
% 8.17/2.48 # Total time : 0.033 s
% 8.17/2.48 # Maximum resident set size: 7124 pages
% 8.17/2.48
%------------------------------------------------------------------------------