TSTP Solution File: SEU228+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU228+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:39:49 EDT 2022
% Result : Theorem 14.68s 3.32s
% Output : CNFRefutation 14.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 9 unt; 2 nHn; 35 RR)
% Number of literals : 143 ( 29 equ; 104 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X1 != apply(X3,X5)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(X5,relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_14) ).
cnf(i_0_21,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_21) ).
cnf(i_0_31,plain,
( apply(X1,esk6_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_31) ).
cnf(i_0_32,plain,
( in(esk6_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-6di70n51/input.p',i_0_32) ).
cnf(i_0_26,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_26) ).
cnf(i_0_70,negated_conjecture,
subset(esk20_0,relation_rng(esk21_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_70) ).
cnf(i_0_24,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_24) ).
cnf(i_0_25,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_25) ).
cnf(i_0_7,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_7) ).
cnf(i_0_68,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_68) ).
cnf(i_0_69,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_69) ).
cnf(i_0_72,negated_conjecture,
relation(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_72) ).
cnf(i_0_71,negated_conjecture,
function(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6di70n51/input.p',i_0_71) ).
cnf(c_0_86,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| X1 != apply(X3,X5)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(X5,relation_dom(X3)) ),
i_0_14 ).
cnf(c_0_87,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3))
| ~ in(apply(X3,X1),X4) ),
i_0_21 ).
cnf(c_0_88,plain,
( apply(X1,esk6_3(X1,X2,X3)) = X3
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_31 ).
cnf(c_0_89,plain,
( in(esk6_3(X1,X2,X3),relation_dom(X1))
| X2 != relation_rng(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_32 ).
cnf(c_0_90,plain,
( in(X1,relation_image(X2,X3))
| X1 != apply(X2,X4)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_91,plain,
( in(esk6_3(X1,X2,X3),X4)
| X4 != relation_inverse_image(X1,X5)
| X2 != relation_rng(X1)
| ~ in(X3,X5)
| ~ in(X3,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_92,plain,
( in(X1,relation_image(X2,X3))
| X4 != relation_rng(X2)
| ~ in(esk6_3(X2,X4,X1),X3)
| ~ in(X1,X4)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_88])]),c_0_89]) ).
cnf(c_0_93,plain,
( in(esk6_3(X1,X2,X3),relation_inverse_image(X1,X4))
| X2 != relation_rng(X1)
| ~ in(X3,X4)
| ~ in(X3,X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_94,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_26 ).
cnf(c_0_95,negated_conjecture,
subset(esk20_0,relation_rng(esk21_0)),
i_0_70 ).
cnf(c_0_96,plain,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| X4 != relation_rng(X2)
| ~ in(X1,X4)
| ~ in(X1,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( in(X1,relation_rng(esk21_0))
| ~ in(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
i_0_24 ).
cnf(c_0_99,negated_conjecture,
( in(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ in(X1,esk20_0)
| ~ in(X1,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,plain,
( subset(X1,relation_image(X2,relation_inverse_image(X2,X3)))
| relation_rng(esk21_0) != relation_rng(X2)
| ~ in(esk5_2(X1,relation_image(X2,relation_inverse_image(X2,X3))),esk20_0)
| ~ in(esk5_2(X1,relation_image(X2,relation_inverse_image(X2,X3))),X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_101,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
i_0_25 ).
cnf(c_0_102,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_7 ).
cnf(c_0_103,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_68 ).
cnf(c_0_104,plain,
( subset(esk20_0,relation_image(X1,relation_inverse_image(X1,X2)))
| relation_rng(esk21_0) != relation_rng(X1)
| ~ in(esk5_2(esk20_0,relation_image(X1,relation_inverse_image(X1,X2))),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( relation_image(X1,relation_inverse_image(X1,X2)) = X2
| ~ subset(X2,relation_image(X1,relation_inverse_image(X1,X2)))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,plain,
( subset(esk20_0,relation_image(X1,relation_inverse_image(X1,esk20_0)))
| relation_rng(esk21_0) != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_101]) ).
cnf(c_0_107,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
i_0_69 ).
cnf(c_0_108,plain,
( relation_image(X1,relation_inverse_image(X1,esk20_0)) = esk20_0
| relation_rng(esk21_0) != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
relation(esk21_0),
i_0_72 ).
cnf(c_0_110,negated_conjecture,
function(esk21_0),
i_0_71 ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU228+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 14:00:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 14.68/3.32 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.68/3.32 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 14.68/3.32 # Preprocessing time : 0.840 s
% 14.68/3.32
% 14.68/3.32 # Proof found!
% 14.68/3.32 # SZS status Theorem
% 14.68/3.32 # SZS output start CNFRefutation
% See solution above
% 14.68/3.33 # Training examples: 0 positive, 0 negative
% 14.68/3.33
% 14.68/3.33 # -------------------------------------------------
% 14.68/3.33 # User time : 0.911 s
% 14.68/3.33 # System time : 0.110 s
% 14.68/3.33 # Total time : 1.021 s
% 14.68/3.33 # ...preprocessing : 0.840 s
% 14.68/3.33 # ...main loop : 0.181 s
% 14.68/3.33 # Maximum resident set size: 167340 pages
% 14.68/3.33
%------------------------------------------------------------------------------