TSTP Solution File: SEU353+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU353+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:41:06 EDT 2022
% Result : Theorem 27.24s 5.45s
% Output : CNFRefutation 27.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 35 ( 18 unt; 4 nHn; 30 RR)
% Number of literals : 65 ( 11 equ; 35 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 34 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2688,negated_conjecture,
apply_as_element(the_carrier(esk435_0),the_carrier(esk435_0),identity_on_carrier(esk435_0),esk436_0) != esk436_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_2688) ).
cnf(i_0_121,plain,
( identity_relation(the_carrier(X1)) = identity_on_carrier(X1)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_121) ).
cnf(i_0_2690,negated_conjecture,
one_sorted_str(esk435_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_2690) ).
cnf(i_0_1023,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_1023) ).
cnf(i_0_568,plain,
relation_of2_as_subset(identity_relation(X1),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_568) ).
cnf(i_0_2691,negated_conjecture,
~ empty_carrier(esk435_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_2691) ).
cnf(i_0_254,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_254) ).
cnf(i_0_1021,plain,
( apply_as_element(X1,X2,X3,X4) = apply(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ element(X4,X1)
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_1021) ).
cnf(i_0_2689,negated_conjecture,
element(esk436_0,the_carrier(esk435_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_2689) ).
cnf(i_0_575,plain,
( quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_575) ).
cnf(i_0_309,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_309) ).
cnf(i_0_2529,lemma,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_2529) ).
cnf(i_0_660,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g9k_7g6f/input.p',i_0_660) ).
cnf(c_0_2705,negated_conjecture,
apply_as_element(the_carrier(esk435_0),the_carrier(esk435_0),identity_on_carrier(esk435_0),esk436_0) != esk436_0,
i_0_2688 ).
cnf(c_0_2706,plain,
( identity_relation(the_carrier(X1)) = identity_on_carrier(X1)
| ~ one_sorted_str(X1) ),
i_0_121 ).
cnf(c_0_2707,negated_conjecture,
one_sorted_str(esk435_0),
i_0_2690 ).
cnf(c_0_2708,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_1023 ).
cnf(c_0_2709,plain,
relation_of2_as_subset(identity_relation(X1),X1,X1),
i_0_568 ).
cnf(c_0_2710,negated_conjecture,
~ empty_carrier(esk435_0),
i_0_2691 ).
cnf(c_0_2711,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_254 ).
cnf(c_0_2712,negated_conjecture,
apply_as_element(the_carrier(esk435_0),the_carrier(esk435_0),identity_relation(the_carrier(esk435_0)),esk436_0) != esk436_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2705,c_0_2706]),c_0_2707])]) ).
cnf(c_0_2713,plain,
( apply_as_element(X1,X2,X3,X4) = apply(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ element(X4,X1)
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
i_0_1021 ).
cnf(c_0_2714,plain,
relation_of2(identity_relation(X1),X1,X1),
inference(spm,[status(thm)],[c_0_2708,c_0_2709]) ).
cnf(c_0_2715,negated_conjecture,
element(esk436_0,the_carrier(esk435_0)),
i_0_2689 ).
cnf(c_0_2716,negated_conjecture,
~ empty(the_carrier(esk435_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2710,c_0_2711]),c_0_2707])]) ).
cnf(c_0_2717,plain,
( quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
i_0_575 ).
cnf(c_0_2718,negated_conjecture,
( apply(identity_relation(the_carrier(esk435_0)),esk436_0) != esk436_0
| ~ quasi_total(identity_relation(the_carrier(esk435_0)),the_carrier(esk435_0),the_carrier(esk435_0))
| ~ function(identity_relation(the_carrier(esk435_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2712,c_0_2713]),c_0_2714]),c_0_2715])]),c_0_2716]) ).
cnf(c_0_2719,plain,
( quasi_total(identity_relation(the_carrier(X1)),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_2717,c_0_2706]) ).
cnf(c_0_2720,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_309 ).
cnf(c_0_2721,plain,
( apply(identity_relation(the_carrier(esk435_0)),esk436_0) != esk436_0
| ~ function(identity_relation(the_carrier(esk435_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2718,c_0_2719]),c_0_2707])]) ).
cnf(c_0_2722,lemma,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
i_0_2529 ).
cnf(c_0_2723,negated_conjecture,
in(esk436_0,the_carrier(esk435_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2720,c_0_2715]),c_0_2716]) ).
cnf(c_0_2724,lemma,
~ function(identity_relation(the_carrier(esk435_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2721,c_0_2722]),c_0_2723])]) ).
cnf(c_0_2725,plain,
function(identity_relation(X1)),
i_0_660 ).
cnf(c_0_2726,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2724,c_0_2725])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU353+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n004.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 12:48:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 27.24/5.45 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 27.24/5.45 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 44; version: 991; iters: 150)
% 27.24/5.45 # Preprocessing time : 1.969 s
% 27.24/5.45
% 27.24/5.45 # Proof found!
% 27.24/5.45 # SZS status Theorem
% 27.24/5.45 # SZS output start CNFRefutation
% See solution above
% 27.24/5.45 # Training examples: 0 positive, 0 negative
% 27.24/5.45
% 27.24/5.45 # -------------------------------------------------
% 27.24/5.45 # User time : 1.925 s
% 27.24/5.45 # System time : 0.132 s
% 27.24/5.45 # Total time : 2.057 s
% 27.24/5.45 # ...preprocessing : 1.969 s
% 27.24/5.45 # ...main loop : 0.088 s
% 27.24/5.45 # Maximum resident set size: 180752 pages
% 27.24/5.45
%------------------------------------------------------------------------------