TSTP Solution File: SEU002+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:37:57 EDT 2022
% Result : Theorem 7.90s 2.30s
% Output : CNFRefutation 7.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 38 ( 17 unt; 0 nHn; 38 RR)
% Number of literals : 111 ( 17 equ; 75 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_9) ).
cnf(i_0_8,plain,
( apply(X1,esk1_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_8) ).
cnf(i_0_52,negated_conjecture,
in(esk13_0,relation_rng(relation_composition(esk15_0,esk14_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_52) ).
cnf(i_0_10,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_10) ).
cnf(i_0_56,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_56) ).
cnf(i_0_54,negated_conjecture,
relation(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_54) ).
cnf(i_0_17,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_17) ).
cnf(i_0_55,negated_conjecture,
function(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_55) ).
cnf(i_0_53,negated_conjecture,
function(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_53) ).
cnf(i_0_7,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_7) ).
cnf(i_0_48,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_48) ).
cnf(i_0_50,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_50) ).
cnf(i_0_51,negated_conjecture,
~ in(esk13_0,relation_rng(esk14_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-amvnvnet/lgb.p',i_0_51) ).
cnf(c_0_70,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_9 ).
cnf(c_0_71,plain,
( apply(X1,esk1_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_8 ).
cnf(c_0_72,plain,
( in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
in(esk13_0,relation_rng(relation_composition(esk15_0,esk14_0))),
i_0_52 ).
cnf(c_0_74,plain,
( apply(X1,esk1_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( in(esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0),relation_dom(relation_composition(esk15_0,esk14_0)))
| ~ relation(relation_composition(esk15_0,esk14_0))
| ~ function(relation_composition(esk15_0,esk14_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_10 ).
cnf(c_0_77,negated_conjecture,
relation(esk14_0),
i_0_56 ).
cnf(c_0_78,negated_conjecture,
relation(esk15_0),
i_0_54 ).
cnf(c_0_79,negated_conjecture,
( apply(relation_composition(esk15_0,esk14_0),esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0)) = esk13_0
| ~ relation(relation_composition(esk15_0,esk14_0))
| ~ function(relation_composition(esk15_0,esk14_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_80,plain,
( in(esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0),relation_dom(relation_composition(esk15_0,esk14_0)))
| ~ function(relation_composition(esk15_0,esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78])]) ).
cnf(c_0_81,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_17 ).
cnf(c_0_82,negated_conjecture,
function(esk14_0),
i_0_55 ).
cnf(c_0_83,negated_conjecture,
function(esk15_0),
i_0_53 ).
cnf(c_0_84,plain,
( apply(relation_composition(esk15_0,esk14_0),esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0)) = esk13_0
| ~ function(relation_composition(esk15_0,esk14_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_76]),c_0_77]),c_0_78])]) ).
cnf(c_0_85,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| X1 != apply(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X4,relation_dom(X3)) ),
i_0_7 ).
cnf(c_0_86,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
i_0_48 ).
cnf(c_0_87,plain,
in(esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0),relation_dom(relation_composition(esk15_0,esk14_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_77]),c_0_78]),c_0_82]),c_0_83])]) ).
cnf(c_0_88,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
i_0_50 ).
cnf(c_0_89,plain,
apply(relation_composition(esk15_0,esk14_0),esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0)) = esk13_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_81]),c_0_77]),c_0_78]),c_0_82]),c_0_83])]) ).
cnf(c_0_90,plain,
( in(apply(X1,X2),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])]) ).
cnf(c_0_91,plain,
in(apply(esk15_0,esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0)),relation_dom(esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_77]),c_0_78]),c_0_82]),c_0_83])]) ).
cnf(c_0_92,plain,
apply(esk14_0,apply(esk15_0,esk1_3(relation_composition(esk15_0,esk14_0),relation_rng(relation_composition(esk15_0,esk14_0)),esk13_0))) = esk13_0,
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_88,c_0_87]),c_0_89]),c_0_77]),c_0_78]),c_0_82]),c_0_83])]) ).
cnf(c_0_93,negated_conjecture,
~ in(esk13_0,relation_rng(esk14_0)),
i_0_51 ).
cnf(c_0_94,plain,
$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_90,c_0_91]),c_0_92]),c_0_77]),c_0_82])]),c_0_93]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 19:40:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 7.90/2.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.90/2.30 # No SInE strategy applied
% 7.90/2.30 # Trying AutoSched0 for 150 seconds
% 7.90/2.30 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 7.90/2.30 # and selection function SelectNewComplexAHPNS.
% 7.90/2.30 #
% 7.90/2.30 # Preprocessing time : 0.023 s
% 7.90/2.30
% 7.90/2.30 # Proof found!
% 7.90/2.30 # SZS status Theorem
% 7.90/2.30 # SZS output start CNFRefutation
% See solution above
% 7.90/2.30 # Training examples: 0 positive, 0 negative
% 7.90/2.30
% 7.90/2.30 # -------------------------------------------------
% 7.90/2.30 # User time : 0.027 s
% 7.90/2.30 # System time : 0.005 s
% 7.90/2.30 # Total time : 0.032 s
% 7.90/2.30 # Maximum resident set size: 7124 pages
% 7.90/2.30
%------------------------------------------------------------------------------