%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU356+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:41:18 EDT 2022
% Result : Theorem 9.84s 3.27s
% Output : CNFRefutation 9.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of clauses : 87 ( 14 unt; 50 nHn; 87 RR)
% Number of literals : 337 ( 19 equ; 188 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2430,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1)
| ~ related(esk411_0,X1,esk413_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2430) ).
cnf(i_0_495,plain,
( related(X1,esk96_2(X1,X2),X3)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_495) ).
cnf(i_0_2433,negated_conjecture,
rel_str(esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2433) ).
cnf(i_0_2432,negated_conjecture,
( element(esk413_1(X1),the_carrier(esk411_0))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2432) ).
cnf(i_0_2431,negated_conjecture,
( relstr_set_smaller(esk411_0,esk412_0,esk413_1(X1))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2431) ).
cnf(i_0_496,plain,
( relstr_set_smaller(X1,X2,esk96_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_496) ).
cnf(i_0_497,plain,
( element(esk96_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_497) ).
cnf(i_0_2429,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| element(esk414_0,the_carrier(esk411_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2429) ).
cnf(i_0_486,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_486) ).
cnf(i_0_2428,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| relstr_set_smaller(esk411_0,esk412_0,esk414_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2428) ).
cnf(i_0_490,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_490) ).
cnf(i_0_487,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_487) ).
cnf(i_0_491,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_491) ).
cnf(i_0_2427,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| related(esk411_0,esk414_0,X1)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2427) ).
cnf(i_0_482,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_482) ).
cnf(i_0_483,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_483) ).
cnf(i_0_485,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| related(X1,esk99_3(X1,X2,X3),X4)
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_485) ).
cnf(i_0_489,plain,
( ex_sup_of_relstr_set(X1,X2)
| related(X1,esk99_3(X1,X2,X3),X4)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_489) ).
cnf(i_0_2493,lemma,
( X1 = X2
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3)
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2493) ).
cnf(i_0_2434,negated_conjecture,
antisymmetric_relstr(esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_2434) ).
cnf(i_0_484,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_484) ).
cnf(i_0_481,plain,
( ex_sup_of_relstr_set(X1,X2)
| related(X1,esk99_3(X1,X2,X3),X4)
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_481) ).
cnf(i_0_488,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_488) ).
cnf(i_0_480,plain,
( ex_sup_of_relstr_set(X1,X2)
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c379k1kk/lgb.p',i_0_480) ).
cnf(c_0_2518,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1)
| ~ related(esk411_0,X1,esk413_1(X1)) ),
i_0_2430 ).
cnf(c_0_2519,plain,
( related(X1,esk96_2(X1,X2),X3)
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_495 ).
cnf(c_0_2520,negated_conjecture,
rel_str(esk411_0),
i_0_2433 ).
cnf(c_0_2521,negated_conjecture,
( element(esk413_1(X1),the_carrier(esk411_0))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
i_0_2432 ).
cnf(c_0_2522,negated_conjecture,
( ~ relstr_set_smaller(esk411_0,X1,esk413_1(esk96_2(esk411_0,X1)))
| ~ relstr_set_smaller(esk411_0,esk412_0,esk96_2(esk411_0,X1))
| ~ element(esk96_2(esk411_0,X1),the_carrier(esk411_0))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ ex_sup_of_relstr_set(esk411_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2518,c_0_2519]),c_0_2520])]),c_0_2521]) ).
cnf(c_0_2523,negated_conjecture,
( relstr_set_smaller(esk411_0,esk412_0,esk413_1(X1))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
i_0_2431 ).
cnf(c_0_2524,negated_conjecture,
( ~ relstr_set_smaller(esk411_0,esk412_0,esk96_2(esk411_0,esk412_0))
| ~ element(esk96_2(esk411_0,esk412_0),the_carrier(esk411_0))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0) ),
inference(spm,[status(thm)],[c_0_2522,c_0_2523]) ).
cnf(c_0_2525,plain,
( relstr_set_smaller(X1,X2,esk96_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
i_0_496 ).
cnf(c_0_2526,plain,
( ~ element(esk96_2(esk411_0,esk412_0),the_carrier(esk411_0))
| ~ ex_sup_of_relstr_set(esk411_0,esk412_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2524,c_0_2525]),c_0_2520])]) ).
cnf(c_0_2527,plain,
( element(esk96_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ ex_sup_of_relstr_set(X1,X2) ),
i_0_497 ).
cnf(c_0_2528,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| element(esk414_0,the_carrier(esk411_0)) ),
i_0_2429 ).
cnf(c_0_2529,plain,
~ ex_sup_of_relstr_set(esk411_0,esk412_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2526,c_0_2527]),c_0_2520])]) ).
cnf(c_0_2530,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_486 ).
cnf(c_0_2531,negated_conjecture,
element(esk414_0,the_carrier(esk411_0)),
inference(sr,[status(thm)],[c_0_2528,c_0_2529]) ).
cnf(c_0_2532,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| relstr_set_smaller(esk411_0,esk412_0,esk414_0) ),
i_0_2428 ).
cnf(c_0_2533,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_490 ).
cnf(c_0_2534,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_487 ).
cnf(c_0_2535,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_491 ).
cnf(c_0_2536,plain,
( relstr_set_smaller(esk411_0,X1,esk99_3(esk411_0,X1,esk414_0))
| relstr_set_smaller(esk411_0,X1,esk98_3(esk411_0,X1,esk414_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2530,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2537,negated_conjecture,
relstr_set_smaller(esk411_0,esk412_0,esk414_0),
inference(sr,[status(thm)],[c_0_2532,c_0_2529]) ).
cnf(c_0_2538,plain,
( relstr_set_smaller(esk411_0,X1,esk99_3(esk411_0,X1,esk414_0))
| element(esk98_3(esk411_0,X1,esk414_0),the_carrier(esk411_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2533,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2539,plain,
( relstr_set_smaller(esk411_0,X1,esk98_3(esk411_0,X1,esk414_0))
| element(esk99_3(esk411_0,X1,esk414_0),the_carrier(esk411_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2534,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2540,plain,
( element(esk99_3(esk411_0,X1,esk414_0),the_carrier(esk411_0))
| element(esk98_3(esk411_0,X1,esk414_0),the_carrier(esk411_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2535,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2541,negated_conjecture,
( ex_sup_of_relstr_set(esk411_0,esk412_0)
| related(esk411_0,esk414_0,X1)
| ~ element(X1,the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1) ),
i_0_2427 ).
cnf(c_0_2542,negated_conjecture,
( relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,esk414_0))
| relstr_set_smaller(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2536,c_0_2537]),c_0_2529]) ).
cnf(c_0_2543,negated_conjecture,
( relstr_set_smaller(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0))
| element(esk98_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2538,c_0_2537]),c_0_2529]) ).
cnf(c_0_2544,negated_conjecture,
( relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,esk414_0))
| element(esk99_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_2537]),c_0_2529]) ).
cnf(c_0_2545,negated_conjecture,
( element(esk98_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0))
| element(esk99_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2540,c_0_2537]),c_0_2529]) ).
cnf(c_0_2546,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk99_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
i_0_482 ).
cnf(c_0_2547,negated_conjecture,
( related(esk411_0,esk414_0,esk98_3(esk411_0,esk412_0,esk414_0))
| relstr_set_smaller(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2541,c_0_2542]),c_0_2529]),c_0_2543]) ).
cnf(c_0_2548,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk99_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
i_0_483 ).
cnf(c_0_2549,negated_conjecture,
( related(esk411_0,esk414_0,esk98_3(esk411_0,esk412_0,esk414_0))
| element(esk99_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2541,c_0_2544]),c_0_2529]),c_0_2545]) ).
cnf(c_0_2550,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| related(X1,esk99_3(X1,X2,X3),X4)
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1)) ),
i_0_485 ).
cnf(c_0_2551,plain,
( ex_sup_of_relstr_set(X1,X2)
| related(X1,esk99_3(X1,X2,X3),X4)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1)) ),
i_0_489 ).
cnf(c_0_2552,lemma,
( X1 = X2
| ~ rel_str(X3)
| ~ antisymmetric_relstr(X3)
| ~ related(X3,X2,X1)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_2493 ).
cnf(c_0_2553,negated_conjecture,
antisymmetric_relstr(esk411_0),
i_0_2434 ).
cnf(c_0_2554,plain,
relstr_set_smaller(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2546,c_0_2547]),c_0_2520]),c_0_2537]),c_0_2531])]),c_0_2529]) ).
cnf(c_0_2555,plain,
element(esk99_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2548,c_0_2549]),c_0_2520]),c_0_2537]),c_0_2531])]),c_0_2529]) ).
cnf(c_0_2556,plain,
( related(esk411_0,esk99_3(esk411_0,X1,X2),esk414_0)
| relstr_set_smaller(esk411_0,X1,esk98_3(esk411_0,X1,X2))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0)
| ~ relstr_set_smaller(esk411_0,X1,X2)
| ~ element(X2,the_carrier(esk411_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2550,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2557,plain,
( related(esk411_0,esk99_3(esk411_0,X1,X2),esk414_0)
| element(esk98_3(esk411_0,X1,X2),the_carrier(esk411_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| ~ relstr_set_smaller(esk411_0,X1,esk414_0)
| ~ relstr_set_smaller(esk411_0,X1,X2)
| ~ element(X2,the_carrier(esk411_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2551,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2558,lemma,
( X1 = esk414_0
| ~ related(esk411_0,esk414_0,X1)
| ~ related(esk411_0,X1,esk414_0)
| ~ element(X1,the_carrier(esk411_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2552,c_0_2531]),c_0_2553]),c_0_2520])]) ).
cnf(c_0_2559,negated_conjecture,
related(esk411_0,esk414_0,esk99_3(esk411_0,esk412_0,esk414_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2541,c_0_2554]),c_0_2555])]),c_0_2529]) ).
cnf(c_0_2560,negated_conjecture,
( related(esk411_0,esk99_3(esk411_0,esk412_0,X1),esk414_0)
| relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,X1))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1)
| ~ element(X1,the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2556,c_0_2537]),c_0_2529]) ).
cnf(c_0_2561,negated_conjecture,
( related(esk411_0,esk99_3(esk411_0,esk412_0,X1),esk414_0)
| element(esk98_3(esk411_0,esk412_0,X1),the_carrier(esk411_0))
| ~ relstr_set_smaller(esk411_0,esk412_0,X1)
| ~ element(X1,the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2557,c_0_2537]),c_0_2529]) ).
cnf(c_0_2562,lemma,
( esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0
| ~ related(esk411_0,esk99_3(esk411_0,esk412_0,esk414_0),esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2558,c_0_2559]),c_0_2555])]) ).
cnf(c_0_2563,negated_conjecture,
( related(esk411_0,esk99_3(esk411_0,esk412_0,esk414_0),esk414_0)
| relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,esk414_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2560,c_0_2537]),c_0_2531])]) ).
cnf(c_0_2564,negated_conjecture,
( related(esk411_0,esk99_3(esk411_0,esk412_0,esk414_0),esk414_0)
| element(esk98_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2561,c_0_2537]),c_0_2531])]) ).
cnf(c_0_2565,lemma,
( esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0
| relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,esk414_0)) ),
inference(spm,[status(thm)],[c_0_2562,c_0_2563]) ).
cnf(c_0_2566,lemma,
( esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0
| element(esk98_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)) ),
inference(spm,[status(thm)],[c_0_2562,c_0_2564]) ).
cnf(c_0_2567,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk98_3(X1,X2,X3))
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_484 ).
cnf(c_0_2568,plain,
( ex_sup_of_relstr_set(X1,X2)
| related(X1,esk99_3(X1,X2,X3),X4)
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
i_0_481 ).
cnf(c_0_2569,negated_conjecture,
( esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0
| related(esk411_0,esk414_0,esk98_3(esk411_0,esk412_0,esk414_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2541,c_0_2565]),c_0_2529]),c_0_2566]) ).
cnf(c_0_2570,plain,
( relstr_set_smaller(esk411_0,X1,esk98_3(esk411_0,X1,esk99_3(esk411_0,esk412_0,esk414_0)))
| ex_sup_of_relstr_set(esk411_0,X1)
| esk99_3(esk411_0,X1,esk99_3(esk411_0,esk412_0,esk414_0)) != esk99_3(esk411_0,esk412_0,esk414_0)
| ~ relstr_set_smaller(esk411_0,X1,esk99_3(esk411_0,esk412_0,esk414_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2567,c_0_2555]),c_0_2520])]) ).
cnf(c_0_2571,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk98_3(X1,X2,X3),the_carrier(X1))
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_488 ).
cnf(c_0_2572,plain,
( esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0
| related(esk411_0,esk99_3(esk411_0,esk412_0,esk414_0),X1)
| ~ relstr_set_smaller(esk411_0,esk412_0,X1)
| ~ element(X1,the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2568,c_0_2569]),c_0_2520]),c_0_2537]),c_0_2531])]),c_0_2529]) ).
cnf(c_0_2573,plain,
( relstr_set_smaller(esk411_0,esk412_0,esk98_3(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)))
| esk99_3(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)) != esk99_3(esk411_0,esk412_0,esk414_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2570,c_0_2554]),c_0_2529]) ).
cnf(c_0_2574,plain,
( element(esk98_3(esk411_0,X1,esk414_0),the_carrier(esk411_0))
| ex_sup_of_relstr_set(esk411_0,X1)
| esk99_3(esk411_0,X1,esk414_0) != esk414_0
| ~ relstr_set_smaller(esk411_0,X1,esk414_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2571,c_0_2531]),c_0_2520])]) ).
cnf(c_0_2575,negated_conjecture,
esk99_3(esk411_0,esk412_0,esk414_0) = esk414_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2572,c_0_2537]),c_0_2531])]),c_0_2562]) ).
cnf(c_0_2576,negated_conjecture,
( related(esk411_0,esk414_0,esk98_3(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)))
| esk99_3(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)) != esk99_3(esk411_0,esk412_0,esk414_0)
| ~ element(esk98_3(esk411_0,esk412_0,esk99_3(esk411_0,esk412_0,esk414_0)),the_carrier(esk411_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2541,c_0_2573]),c_0_2529]) ).
cnf(c_0_2577,plain,
element(esk98_3(esk411_0,esk412_0,esk414_0),the_carrier(esk411_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2574,c_0_2575]),c_0_2537])]),c_0_2529]) ).
cnf(c_0_2578,plain,
( ex_sup_of_relstr_set(X1,X2)
| esk99_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk98_3(X1,X2,X3)) ),
i_0_480 ).
cnf(c_0_2579,negated_conjecture,
related(esk411_0,esk414_0,esk98_3(esk411_0,esk412_0,esk414_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2576,c_0_2575]),c_0_2575]),c_0_2575]),c_0_2575]),c_0_2575])]),c_0_2577])]) ).
cnf(c_0_2580,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2578,c_0_2579]),c_0_2575]),c_0_2520]),c_0_2537]),c_0_2531])]),c_0_2529]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU356+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 22:20:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.49 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.84/3.27 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.84/3.27 # No SInE strategy applied
% 9.84/3.27 # Trying AutoSched0 for 150 seconds
% 9.84/3.27 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 9.84/3.27 # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.84/3.27 #
% 9.84/3.27 # Preprocessing time : 0.014 s
% 9.84/3.27
% 9.84/3.27 # Proof found!
% 9.84/3.27 # SZS status Theorem
% 9.84/3.27 # SZS output start CNFRefutation
% See solution above
% 9.84/3.27 # Training examples: 0 positive, 0 negative
% 9.84/3.27
% 9.84/3.27 # -------------------------------------------------
% 9.84/3.27 # User time : 0.025 s
% 9.84/3.27 # System time : 0.005 s
% 9.84/3.27 # Total time : 0.030 s
% 9.84/3.27 # Maximum resident set size: 7180 pages
% 9.84/3.27
%------------------------------------------------------------------------------