TSTP Solution File: SEU228+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 15.90s 3.35s
% Output : CNFRefutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 43 ( 10 unt; 11 nHn; 33 RR)
% Number of literals : 129 ( 19 equ; 77 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 : 77 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_26) ).
cnf(i_0_78,negated_conjecture,
subset(esk20_0,relation_rng(esk21_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_78) ).
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/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_32) ).
cnf(i_0_25,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_25) ).
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/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_21) ).
cnf(i_0_80,negated_conjecture,
relation(esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_80) ).
cnf(i_0_79,negated_conjecture,
function(esk21_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_79) ).
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/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_31) ).
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/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_14) ).
cnf(i_0_7,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_7) ).
cnf(i_0_76,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_76) ).
cnf(i_0_24,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_24) ).
cnf(i_0_77,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j0ucub3d/input.p',i_0_77) ).
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_78 ).
cnf(c_0_96,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_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),X1) ),
i_0_25 ).
cnf(c_0_99,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_100,plain,
( in(esk6_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_101,plain,
( in(esk5_2(esk20_0,X1),relation_rng(esk21_0))
| subset(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
relation(esk21_0),
i_0_80 ).
cnf(c_0_103,negated_conjecture,
function(esk21_0),
i_0_79 ).
cnf(c_0_104,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_105,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_106,plain,
( in(esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1)),relation_dom(esk21_0))
| subset(esk20_0,X1) ),
inference(cn,[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])]) ).
cnf(c_0_107,plain,
( apply(X1,esk6_3(X1,relation_rng(X1),X2)) = X2
| ~ in(X2,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_108,plain,
( in(esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1)),relation_inverse_image(esk21_0,X2))
| subset(esk20_0,X1)
| ~ in(apply(esk21_0,esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_102]),c_0_103])]) ).
cnf(c_0_109,plain,
( apply(esk21_0,esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1))) = esk5_2(esk20_0,X1)
| subset(esk20_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_110,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_111,plain,
( in(esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1)),relation_inverse_image(esk21_0,X2))
| subset(esk20_0,X1)
| ~ in(esk5_2(esk20_0,X1),X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
( in(apply(X1,X2),relation_image(X1,X3))
| ~ in(X2,relation_dom(X1))
| ~ in(X2,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_110])]) ).
cnf(c_0_113,plain,
( in(esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1)),relation_inverse_image(esk21_0,esk20_0))
| subset(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_98]) ).
cnf(c_0_114,plain,
( in(apply(X1,esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X2))),relation_image(X1,relation_inverse_image(esk21_0,esk20_0)))
| subset(esk20_0,X2)
| ~ in(esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X2)),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_115,plain,
( in(apply(esk21_0,esk6_3(esk21_0,relation_rng(esk21_0),esk5_2(esk20_0,X1))),relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)))
| subset(esk20_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_106]),c_0_102]),c_0_103])]) ).
cnf(c_0_116,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_7 ).
cnf(c_0_117,plain,
( subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_76 ).
cnf(c_0_118,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
i_0_24 ).
cnf(c_0_119,plain,
( in(esk5_2(esk20_0,X1),relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)))
| subset(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_109]) ).
cnf(c_0_120,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_116,c_0_117]) ).
cnf(c_0_121,plain,
subset(esk20_0,relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0))),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
relation_image(esk21_0,relation_inverse_image(esk21_0,esk20_0)) != esk20_0,
i_0_77 ).
cnf(c_0_123,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_102]),c_0_103])]),c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 20 08:03:05 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.37 # ENIGMATIC: Selected complete mode:
% 15.90/3.35 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.90/3.35 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 15.90/3.35 # Preprocessing time : 0.852 s
% 15.90/3.35 # Presaturation interreduction done
% 15.90/3.35
% 15.90/3.35 # Proof found!
% 15.90/3.35 # SZS status Theorem
% 15.90/3.35 # SZS output start CNFRefutation
% See solution above
% 15.90/3.35 # Training examples: 0 positive, 0 negative
% 15.90/3.35
% 15.90/3.35 # -------------------------------------------------
% 15.90/3.35 # User time : 1.058 s
% 15.90/3.35 # System time : 0.105 s
% 15.90/3.35 # Total time : 1.163 s
% 15.90/3.35 # ...preprocessing : 0.852 s
% 15.90/3.35 # ...main loop : 0.312 s
% 15.90/3.35 # Maximum resident set size: 168256 pages
% 15.90/3.35
%------------------------------------------------------------------------------