TSTP Solution File: SEU076+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU076+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:38:20 EDT 2022
% Result : Theorem 14.29s 3.32s
% Output : CNFRefutation 14.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 41 ( 13 unt; 3 nHn; 38 RR)
% Number of literals : 146 ( 30 equ; 104 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 89 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_22,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-5rmm5s5p/input.p',i_0_22) ).
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-5rmm5s5p/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-5rmm5s5p/input.p',i_0_14) ).
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-5rmm5s5p/input.p',i_0_13) ).
cnf(i_0_17,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_17) ).
cnf(i_0_58,negated_conjecture,
subset(relation_image(esk20_0,esk18_0),relation_image(esk20_0,esk19_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_58) ).
cnf(i_0_11,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-5rmm5s5p/input.p',i_0_11) ).
cnf(i_0_57,negated_conjecture,
subset(esk18_0,relation_dom(esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_57) ).
cnf(i_0_56,negated_conjecture,
one_to_one(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_56) ).
cnf(i_0_60,negated_conjecture,
relation(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_60) ).
cnf(i_0_59,negated_conjecture,
function(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_59) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_16) ).
cnf(i_0_15,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_15) ).
cnf(i_0_55,negated_conjecture,
~ subset(esk18_0,esk19_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5rmm5s5p/input.p',i_0_55) ).
cnf(c_0_75,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_22 ).
cnf(c_0_76,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_77,plain,
( esk1_4(X1,X2,X3,X4) = X5
| X4 != apply(X1,X5)
| X3 != relation_image(X1,X2)
| ~ in(esk1_4(X1,X2,X3,X4),relation_dom(X1))
| ~ in(X5,relation_dom(X1))
| ~ in(X4,X3)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,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_79,plain,
( esk1_4(X1,X2,X3,X4) = X5
| X4 != apply(X1,X5)
| X3 != relation_image(X1,X2)
| ~ in(X5,relation_dom(X1))
| ~ in(X4,X3)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_80,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_81,plain,
( esk1_4(X1,X2,X3,apply(X1,X4)) = X4
| X3 != relation_image(X1,X2)
| ~ in(apply(X1,X4),X3)
| ~ in(X4,relation_dom(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_82,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_17 ).
cnf(c_0_83,negated_conjecture,
subset(relation_image(esk20_0,esk18_0),relation_image(esk20_0,esk19_0)),
i_0_58 ).
cnf(c_0_84,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_11 ).
cnf(c_0_85,plain,
( in(X1,X2)
| X3 != relation_image(X4,X2)
| ~ in(apply(X4,X1),X3)
| ~ in(X1,relation_dom(X4))
| ~ one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( in(X1,relation_image(esk20_0,esk19_0))
| ~ in(X1,relation_image(esk20_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,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_84]) ).
cnf(c_0_88,negated_conjecture,
subset(esk18_0,relation_dom(esk20_0)),
i_0_57 ).
cnf(c_0_89,negated_conjecture,
( in(X1,X2)
| relation_image(esk20_0,esk19_0) != relation_image(X3,X2)
| ~ in(apply(X3,X1),relation_image(esk20_0,esk18_0))
| ~ in(X1,relation_dom(X3))
| ~ one_to_one(X3)
| ~ relation(X3)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,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)],[c_0_87]) ).
cnf(c_0_91,negated_conjecture,
one_to_one(esk20_0),
i_0_56 ).
cnf(c_0_92,negated_conjecture,
relation(esk20_0),
i_0_60 ).
cnf(c_0_93,negated_conjecture,
function(esk20_0),
i_0_59 ).
cnf(c_0_94,negated_conjecture,
( in(X1,relation_dom(esk20_0))
| ~ in(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_82,c_0_88]) ).
cnf(c_0_95,plain,
( in(X1,X2)
| relation_image(esk20_0,esk19_0) != relation_image(esk20_0,X2)
| ~ in(X1,esk18_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_93])]),c_0_94]) ).
cnf(c_0_96,plain,
( subset(X1,X2)
| in(esk4_2(X1,X2),X1) ),
i_0_16 ).
cnf(c_0_97,plain,
( subset(X1,X2)
| ~ in(esk4_2(X1,X2),X2) ),
i_0_15 ).
cnf(c_0_98,plain,
( in(esk4_2(esk18_0,X1),X2)
| subset(esk18_0,X1)
| relation_image(esk20_0,esk19_0) != relation_image(esk20_0,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
~ subset(esk18_0,esk19_0),
i_0_55 ).
cnf(c_0_100,plain,
( subset(esk18_0,X1)
| relation_image(esk20_0,esk19_0) != relation_image(esk20_0,X1) ),
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
% 0.07/0.12 % Problem : SEU076+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n026.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 : Sun Jun 19 07:38:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 14.29/3.32 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.29/3.32 # 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)
% 14.29/3.32 # Preprocessing time : 0.875 s
% 14.29/3.32
% 14.29/3.32 # Proof found!
% 14.29/3.32 # SZS status Theorem
% 14.29/3.32 # SZS output start CNFRefutation
% See solution above
% 14.29/3.32 # Training examples: 0 positive, 0 negative
% 14.29/3.32
% 14.29/3.32 # -------------------------------------------------
% 14.29/3.32 # User time : 0.778 s
% 14.29/3.32 # System time : 0.126 s
% 14.29/3.32 # Total time : 0.905 s
% 14.29/3.32 # ...preprocessing : 0.875 s
% 14.29/3.32 # ...main loop : 0.030 s
% 14.29/3.32 # Maximum resident set size: 168008 pages
% 14.29/3.32
%------------------------------------------------------------------------------