TSTP Solution File: SEU027+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 08:38:05 EDT 2022
% Result : Theorem 7.82s 2.22s
% Output : CNFRefutation 7.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 46 ( 24 unt; 3 nHn; 46 RR)
% Number of literals : 142 ( 45 equ; 95 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 5 ( 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_68,plain,
( relation_dom(X1) = relation_rng(X2)
| X1 != function_inverse(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ one_to_one(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_68) ).
cnf(i_0_13,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_13) ).
cnf(i_0_14,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_14) ).
cnf(i_0_84,plain,
( X1 = X2
| in(esk21_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_84) ).
cnf(i_0_77,negated_conjecture,
relation(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_77) ).
cnf(i_0_76,negated_conjecture,
function(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_76) ).
cnf(i_0_75,negated_conjecture,
one_to_one(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_75) ).
cnf(i_0_73,negated_conjecture,
relation_rng(esk19_0) = relation_dom(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_73) ).
cnf(i_0_79,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_79) ).
cnf(i_0_78,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_78) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_10) ).
cnf(i_0_70,negated_conjecture,
function_inverse(esk19_0) != esk20_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_70) ).
cnf(i_0_71,negated_conjecture,
( apply(esk19_0,X1) = X2
| apply(esk20_0,X2) != X1
| ~ in(X1,relation_dom(esk19_0))
| ~ in(X2,relation_dom(esk20_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_71) ).
cnf(i_0_74,negated_conjecture,
relation_rng(esk20_0) = relation_dom(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_74) ).
cnf(i_0_64,plain,
( X1 = apply(X2,X3)
| X2 != function_inverse(X4)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X4)
| ~ in(X1,relation_dom(X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_64) ).
cnf(i_0_83,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk21_2(X1,X2)) != apply(X2,esk21_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_0_df5yb/lgb.p',i_0_83) ).
cnf(c_0_101,plain,
( relation_dom(X1) = relation_rng(X2)
| X1 != function_inverse(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1)
| ~ one_to_one(X2) ),
i_0_68 ).
cnf(c_0_102,plain,
( function(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_13 ).
cnf(c_0_103,plain,
( relation(function_inverse(X1))
| ~ function(X1)
| ~ relation(X1) ),
i_0_14 ).
cnf(c_0_104,plain,
( X1 = X2
| in(esk21_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_84 ).
cnf(c_0_105,negated_conjecture,
relation(esk20_0),
i_0_77 ).
cnf(c_0_106,negated_conjecture,
function(esk20_0),
i_0_76 ).
cnf(c_0_107,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_108,negated_conjecture,
one_to_one(esk19_0),
i_0_75 ).
cnf(c_0_109,negated_conjecture,
relation_rng(esk19_0) = relation_dom(esk20_0),
i_0_73 ).
cnf(c_0_110,negated_conjecture,
relation(esk19_0),
i_0_79 ).
cnf(c_0_111,negated_conjecture,
function(esk19_0),
i_0_78 ).
cnf(c_0_112,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_10 ).
cnf(c_0_113,negated_conjecture,
( X1 = esk20_0
| in(esk21_2(X1,esk20_0),relation_dom(X1))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
cnf(c_0_114,negated_conjecture,
relation_dom(function_inverse(esk19_0)) = relation_dom(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_110]),c_0_111])]) ).
cnf(c_0_115,negated_conjecture,
relation(function_inverse(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_110]),c_0_111])]) ).
cnf(c_0_116,negated_conjecture,
function(function_inverse(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_110]),c_0_111])]) ).
cnf(c_0_117,negated_conjecture,
function_inverse(esk19_0) != esk20_0,
i_0_70 ).
cnf(c_0_118,negated_conjecture,
( apply(esk19_0,X1) = X2
| apply(esk20_0,X2) != X1
| ~ in(X1,relation_dom(esk19_0))
| ~ in(X2,relation_dom(esk20_0)) ),
i_0_71 ).
cnf(c_0_119,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ in(X2,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_112])]) ).
cnf(c_0_120,negated_conjecture,
in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116])]),c_0_117]) ).
cnf(c_0_121,negated_conjecture,
relation_rng(esk20_0) = relation_dom(esk19_0),
i_0_74 ).
cnf(c_0_122,plain,
( X1 = apply(X2,X3)
| X2 != function_inverse(X4)
| X3 != apply(X4,X1)
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ~ one_to_one(X4)
| ~ in(X1,relation_dom(X4)) ),
i_0_64 ).
cnf(c_0_123,negated_conjecture,
( apply(esk19_0,apply(esk20_0,X1)) = X1
| ~ in(apply(esk20_0,X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_124,plain,
in(apply(esk20_0,esk21_2(function_inverse(esk19_0),esk20_0)),relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_105]),c_0_106])]) ).
cnf(c_0_125,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk21_2(X1,X2)) != apply(X2,esk21_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_83 ).
cnf(c_0_126,plain,
( apply(function_inverse(X1),apply(X1,X2)) = X2
| ~ in(X2,relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_122])]),c_0_102]),c_0_103]) ).
cnf(c_0_127,negated_conjecture,
apply(esk19_0,apply(esk20_0,esk21_2(function_inverse(esk19_0),esk20_0))) = esk21_2(function_inverse(esk19_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_120])]) ).
cnf(c_0_128,negated_conjecture,
( X1 = esk20_0
| apply(X1,esk21_2(X1,esk20_0)) != apply(esk20_0,esk21_2(X1,esk20_0))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_105]),c_0_106])]) ).
cnf(c_0_129,plain,
apply(function_inverse(esk19_0),esk21_2(function_inverse(esk19_0),esk20_0)) = apply(esk20_0,esk21_2(function_inverse(esk19_0),esk20_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_124]),c_0_108]),c_0_110]),c_0_111])]),c_0_127]) ).
cnf(c_0_130,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_114]),c_0_115]),c_0_116])]),c_0_117]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 13:42:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.82/2.22 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.22 # No SInE strategy applied
% 7.82/2.22 # Trying AutoSched0 for 150 seconds
% 7.82/2.22 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
% 7.82/2.22 # and selection function SelectComplexG.
% 7.82/2.22 #
% 7.82/2.22 # Preprocessing time : 0.013 s
% 7.82/2.22 # Presaturation interreduction done
% 7.82/2.22
% 7.82/2.22 # Proof found!
% 7.82/2.22 # SZS status Theorem
% 7.82/2.22 # SZS output start CNFRefutation
% See solution above
% 7.82/2.23 # Training examples: 0 positive, 0 negative
% 7.82/2.23
% 7.82/2.23 # -------------------------------------------------
% 7.82/2.23 # User time : 0.032 s
% 7.82/2.23 # System time : 0.008 s
% 7.82/2.23 # Total time : 0.040 s
% 7.82/2.23 # Maximum resident set size: 7120 pages
% 7.82/2.23
%------------------------------------------------------------------------------