TSTP Solution File: SEU018+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU018+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:38:02 EDT 2022
% Result : Theorem 11.73s 2.85s
% Output : CNFRefutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 15 unt; 2 nHn; 46 RR)
% Number of literals : 168 ( 23 equ; 120 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_17) ).
cnf(i_0_58,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-7e6jaso6/lgb.p',i_0_58) ).
cnf(i_0_56,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-7e6jaso6/lgb.p',i_0_56) ).
cnf(i_0_11,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_11) ).
cnf(i_0_12,plain,
( in(esk2_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-7e6jaso6/lgb.p',i_0_12) ).
cnf(i_0_25,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_25) ).
cnf(i_0_18,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_18) ).
cnf(i_0_57,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_57) ).
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/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_10) ).
cnf(i_0_65,negated_conjecture,
relation_rng(relation_composition(esk17_0,esk16_0)) = relation_rng(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_65) ).
cnf(i_0_64,negated_conjecture,
one_to_one(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_64) ).
cnf(i_0_69,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_69) ).
cnf(i_0_67,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_67) ).
cnf(i_0_68,negated_conjecture,
function(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_68) ).
cnf(i_0_66,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_4) ).
cnf(i_0_5,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_5) ).
cnf(i_0_63,negated_conjecture,
~ subset(relation_dom(esk16_0),relation_rng(esk17_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7e6jaso6/lgb.p',i_0_63) ).
cnf(c_0_88,plain,
( X1 = X2
| apply(X3,X1) != apply(X3,X2)
| ~ function(X3)
| ~ relation(X3)
| ~ one_to_one(X3)
| ~ in(X2,relation_dom(X3))
| ~ in(X1,relation_dom(X3)) ),
i_0_17 ).
cnf(c_0_89,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_58 ).
cnf(c_0_90,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_56 ).
cnf(c_0_91,plain,
( apply(X1,esk2_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_11 ).
cnf(c_0_92,plain,
( in(esk2_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_12 ).
cnf(c_0_93,plain,
( apply(X1,X2) = X3
| apply(relation_composition(X1,X4),X2) != apply(X4,X3)
| ~ one_to_one(X4)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X4)
| ~ function(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X4)))
| ~ in(X3,relation_dom(X4)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_94,plain,
( apply(X1,esk2_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_95,plain,
( in(esk2_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_92]) ).
cnf(c_0_96,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_25 ).
cnf(c_0_97,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_18 ).
cnf(c_0_98,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
i_0_57 ).
cnf(c_0_99,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_100,plain,
( apply(X1,esk2_3(relation_composition(X1,X2),relation_rng(relation_composition(X1,X2)),apply(X2,X3))) = X3
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(apply(X2,X3),relation_rng(relation_composition(X1,X2)))
| ~ in(X3,relation_dom(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94])]),c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_101,negated_conjecture,
relation_rng(relation_composition(esk17_0,esk16_0)) = relation_rng(esk16_0),
i_0_65 ).
cnf(c_0_102,negated_conjecture,
one_to_one(esk16_0),
i_0_64 ).
cnf(c_0_103,negated_conjecture,
relation(esk16_0),
i_0_69 ).
cnf(c_0_104,negated_conjecture,
relation(esk17_0),
i_0_67 ).
cnf(c_0_105,negated_conjecture,
function(esk16_0),
i_0_68 ).
cnf(c_0_106,negated_conjecture,
function(esk17_0),
i_0_66 ).
cnf(c_0_107,plain,
( in(esk2_3(relation_composition(X1,X2),relation_rng(relation_composition(X1,X2)),X3),relation_dom(X1))
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X3,relation_rng(relation_composition(X1,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_108,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_99])]) ).
cnf(c_0_109,negated_conjecture,
( apply(esk17_0,esk2_3(relation_composition(esk17_0,esk16_0),relation_rng(esk16_0),apply(esk16_0,X1))) = X1
| ~ in(apply(esk16_0,X1),relation_rng(esk16_0))
| ~ in(X1,relation_dom(esk16_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_100,c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_110,negated_conjecture,
( in(esk2_3(relation_composition(esk17_0,esk16_0),relation_rng(esk16_0),X1),relation_dom(esk17_0))
| ~ in(X1,relation_rng(esk16_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_107,c_0_101]),c_0_103]),c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_111,plain,
( in(X1,relation_rng(esk17_0))
| ~ in(apply(esk16_0,X1),relation_rng(esk16_0))
| ~ in(X1,relation_dom(esk16_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_104]),c_0_106])]),c_0_110]) ).
cnf(c_0_112,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_4 ).
cnf(c_0_113,plain,
( in(X1,relation_rng(esk17_0))
| ~ in(X1,relation_dom(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_108]),c_0_103]),c_0_105])]) ).
cnf(c_0_114,plain,
( subset(X1,relation_rng(esk17_0))
| ~ in(esk1_2(X1,relation_rng(esk17_0)),relation_dom(esk16_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_115,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_5 ).
cnf(c_0_116,negated_conjecture,
~ subset(relation_dom(esk16_0),relation_rng(esk17_0)),
i_0_63 ).
cnf(c_0_117,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU018+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n020.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 : Sun Jun 19 15:38:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 11.73/2.85 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.73/2.85 # No SInE strategy applied
% 11.73/2.85 # Trying AutoSched0 for 150 seconds
% 11.73/2.85 # AutoSched0-Mode selected heuristic G_____0017_C18_F1_SE_CS_SP_S4Y
% 11.73/2.85 # and selection function SelectMaxLComplexAPPNTNp.
% 11.73/2.85 #
% 11.73/2.85 # Preprocessing time : 0.024 s
% 11.73/2.85
% 11.73/2.85 # Proof found!
% 11.73/2.85 # SZS status Theorem
% 11.73/2.85 # SZS output start CNFRefutation
% See solution above
% 11.73/2.85 # Training examples: 0 positive, 0 negative
% 11.73/2.85
% 11.73/2.85 # -------------------------------------------------
% 11.73/2.85 # User time : 0.442 s
% 11.73/2.85 # System time : 0.020 s
% 11.73/2.85 # Total time : 0.462 s
% 11.73/2.85 # Maximum resident set size: 7124 pages
% 11.73/2.85
%------------------------------------------------------------------------------