TSTP Solution File: SEU071+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU071+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:38:18 EDT 2022
% Result : Theorem 16.07s 3.49s
% Output : CNFRefutation 16.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 9 unt; 6 nHn; 32 RR)
% Number of literals : 129 ( 30 equ; 88 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 90 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,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-cjqj684v/input.p',i_0_28) ).
cnf(i_0_62,negated_conjecture,
one_to_one(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_62) ).
cnf(i_0_64,negated_conjecture,
relation(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_64) ).
cnf(i_0_63,negated_conjecture,
function(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_63) ).
cnf(i_0_12,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_12) ).
cnf(i_0_14,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_14) ).
cnf(i_0_19,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_19) ).
cnf(i_0_13,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_13) ).
cnf(i_0_22,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_22) ).
cnf(i_0_20,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_20) ).
cnf(i_0_21,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_21) ).
cnf(i_0_61,negated_conjecture,
~ subset(relation_inverse_image(esk20_0,relation_image(esk20_0,esk19_0)),esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cjqj684v/input.p',i_0_61) ).
cnf(c_0_77,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_28 ).
cnf(c_0_78,negated_conjecture,
one_to_one(esk20_0),
i_0_62 ).
cnf(c_0_79,negated_conjecture,
relation(esk20_0),
i_0_64 ).
cnf(c_0_80,negated_conjecture,
function(esk20_0),
i_0_63 ).
cnf(c_0_81,negated_conjecture,
( X1 = X2
| apply(esk20_0,X1) != apply(esk20_0,X2)
| ~ in(X2,relation_dom(esk20_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_82,plain,
( apply(X1,esk1_4(X1,X2,X3,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_12 ).
cnf(c_0_83,negated_conjecture,
( esk1_4(esk20_0,X1,X2,X3) = X4
| X3 != apply(esk20_0,X4)
| X2 != relation_image(esk20_0,X1)
| ~ in(esk1_4(esk20_0,X1,X2,X3),relation_dom(esk20_0))
| ~ in(X4,relation_dom(esk20_0))
| ~ in(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_79]),c_0_80])]) ).
cnf(c_0_84,plain,
( in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_14 ).
cnf(c_0_85,plain,
( esk1_4(esk20_0,X1,X2,X3) = X4
| X3 != apply(esk20_0,X4)
| X2 != relation_image(esk20_0,X1)
| ~ in(X4,relation_dom(esk20_0))
| ~ in(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_79]),c_0_80])]) ).
cnf(c_0_86,plain,
( in(apply(X1,X2),X3)
| X4 != relation_inverse_image(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X4) ),
i_0_19 ).
cnf(c_0_87,plain,
( in(esk1_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_13 ).
cnf(c_0_88,plain,
( esk1_4(esk20_0,X1,X2,apply(esk20_0,X3)) = X3
| X2 != relation_image(esk20_0,X1)
| ~ in(apply(esk20_0,X3),X2)
| ~ in(X3,relation_dom(esk20_0)) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_89,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,relation_inverse_image(X1,X3))
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_90,plain,
( subset(X1,X2)
| in(esk5_2(X1,X2),X1) ),
i_0_22 ).
cnf(c_0_91,plain,
( in(X1,relation_dom(X2))
| X3 != relation_inverse_image(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_20 ).
cnf(c_0_92,plain,
( in(X1,X2)
| X3 != relation_image(esk20_0,X2)
| ~ in(apply(esk20_0,X1),X3)
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_79]),c_0_80])]) ).
cnf(c_0_93,plain,
( in(apply(X1,esk5_2(relation_inverse_image(X1,X2),X3)),X2)
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_95,plain,
( in(esk5_2(relation_inverse_image(esk20_0,X1),X2),X3)
| subset(relation_inverse_image(esk20_0,X1),X2)
| X1 != relation_image(esk20_0,X3)
| ~ in(esk5_2(relation_inverse_image(esk20_0,X1),X2),relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_79]),c_0_80])]) ).
cnf(c_0_96,plain,
( in(esk5_2(relation_inverse_image(X1,X2),X3),relation_dom(X1))
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_90]) ).
cnf(c_0_97,plain,
( subset(X1,X2)
| ~ in(esk5_2(X1,X2),X2) ),
i_0_21 ).
cnf(c_0_98,plain,
( in(esk5_2(relation_inverse_image(esk20_0,X1),X2),X3)
| subset(relation_inverse_image(esk20_0,X1),X2)
| X1 != relation_image(esk20_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_79]),c_0_80])]) ).
cnf(c_0_99,negated_conjecture,
~ subset(relation_inverse_image(esk20_0,relation_image(esk20_0,esk19_0)),esk19_0),
i_0_61 ).
cnf(c_0_100,plain,
( subset(relation_inverse_image(esk20_0,X1),X2)
| X1 != relation_image(esk20_0,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_99,c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU071+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 : Sun Jun 19 16:24:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 16.07/3.49 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.07/3.49 # 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: 33; version: 991; iters: 150)
% 16.07/3.49 # Preprocessing time : 1.046 s
% 16.07/3.49
% 16.07/3.49 # Proof found!
% 16.07/3.49 # SZS status Theorem
% 16.07/3.49 # SZS output start CNFRefutation
% See solution above
% 16.07/3.49 # Training examples: 0 positive, 0 negative
% 16.07/3.49
% 16.07/3.49 # -------------------------------------------------
% 16.07/3.49 # User time : 0.965 s
% 16.07/3.49 # System time : 0.119 s
% 16.07/3.49 # Total time : 1.085 s
% 16.07/3.49 # ...preprocessing : 1.046 s
% 16.07/3.49 # ...main loop : 0.039 s
% 16.07/3.49 # Maximum resident set size: 169028 pages
% 16.07/3.49
%------------------------------------------------------------------------------