TSTP Solution File: SEU357+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU357+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:41:28 EDT 2022
% Result : Theorem 11.03s 3.55s
% Output : CNFRefutation 11.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 11 unt; 50 nHn; 82 RR)
% Number of literals : 323 ( 10 equ; 169 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 : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_541,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_541) ).
cnf(i_0_2464,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| relstr_element_smaller(esk418_0,esk419_0,esk421_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2464) ).
cnf(i_0_2469,negated_conjecture,
rel_str(esk418_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2469) ).
cnf(i_0_2465,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| element(esk421_0,the_carrier(esk418_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2465) ).
cnf(i_0_545,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_545) ).
cnf(i_0_540,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X4))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_540) ).
cnf(i_0_2463,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| related(esk418_0,X1,esk421_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2463) ).
cnf(i_0_542,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_542) ).
cnf(i_0_546,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_546) ).
cnf(i_0_544,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| element(esk115_3(X1,X2,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_544) ).
cnf(i_0_537,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_537) ).
cnf(i_0_538,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_538) ).
cnf(i_0_536,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X4),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_536) ).
cnf(i_0_2517,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/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2517) ).
cnf(i_0_2470,negated_conjecture,
antisymmetric_relstr(esk418_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2470) ).
cnf(i_0_539,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_539) ).
cnf(i_0_543,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_543) ).
cnf(i_0_535,plain,
( ex_inf_of_relstr_set(X1,X2)
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_535) ).
cnf(i_0_2467,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk420_1(X1))
| ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2467) ).
cnf(i_0_551,plain,
( relstr_element_smaller(X1,X2,esk113_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_551) ).
cnf(i_0_552,plain,
( element(esk113_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_552) ).
cnf(i_0_2468,negated_conjecture,
( element(esk420_1(X1),the_carrier(esk418_0))
| ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2468) ).
cnf(i_0_550,plain,
( related(X1,X2,esk113_2(X1,X3))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X3)
| ~ relstr_element_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_550) ).
cnf(i_0_2466,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ related(esk418_0,esk420_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_m5emky/lgb.p',i_0_2466) ).
cnf(c_0_2542,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_541 ).
cnf(c_0_2543,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| relstr_element_smaller(esk418_0,esk419_0,esk421_0) ),
i_0_2464 ).
cnf(c_0_2544,negated_conjecture,
rel_str(esk418_0),
i_0_2469 ).
cnf(c_0_2545,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| element(esk421_0,the_carrier(esk418_0)) ),
i_0_2465 ).
cnf(c_0_2546,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_545 ).
cnf(c_0_2547,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X4))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_540 ).
cnf(c_0_2548,negated_conjecture,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| related(esk418_0,X1,esk421_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
i_0_2463 ).
cnf(c_0_2549,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk115_3(esk418_0,esk419_0,esk421_0))
| relstr_element_smaller(esk418_0,esk419_0,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2542,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2550,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk116_3(esk418_0,esk419_0,esk421_0))
| element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2546,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2551,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_542 ).
cnf(c_0_2552,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_546 ).
cnf(c_0_2553,negated_conjecture,
( related(esk418_0,X1,esk116_3(esk418_0,esk419_0,esk421_0))
| relstr_element_smaller(esk418_0,esk419_0,esk115_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2547,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2554,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| element(esk115_3(X1,X2,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_544 ).
cnf(c_0_2555,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk116_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
i_0_537 ).
cnf(c_0_2556,negated_conjecture,
( related(esk418_0,esk115_3(esk418_0,esk419_0,esk421_0),esk421_0)
| relstr_element_smaller(esk418_0,esk419_0,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2548,c_0_2549]),c_0_2550]) ).
cnf(c_0_2557,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk115_3(esk418_0,esk419_0,esk421_0))
| element(esk116_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2551,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2558,negated_conjecture,
( element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| element(esk116_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2552,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2559,negated_conjecture,
( related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| relstr_element_smaller(esk418_0,esk419_0,esk115_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2553,c_0_2543]),c_0_2545]) ).
cnf(c_0_2560,negated_conjecture,
( related(esk418_0,X1,esk116_3(esk418_0,esk419_0,esk421_0))
| element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_2543]),c_0_2544])]),c_0_2545]) ).
cnf(c_0_2561,plain,
( relstr_element_smaller(esk418_0,esk419_0,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2555,c_0_2556]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2562,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk116_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
i_0_538 ).
cnf(c_0_2563,negated_conjecture,
( related(esk418_0,esk115_3(esk418_0,esk419_0,esk421_0),esk421_0)
| element(esk116_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2548,c_0_2557]),c_0_2558]) ).
cnf(c_0_2564,negated_conjecture,
( related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| related(esk418_0,esk115_3(esk418_0,esk419_0,esk421_0),esk421_0)
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0)) ),
inference(spm,[status(thm)],[c_0_2548,c_0_2559]) ).
cnf(c_0_2565,negated_conjecture,
( related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2560,c_0_2543]),c_0_2545]) ).
cnf(c_0_2566,negated_conjecture,
( related(esk418_0,esk116_3(esk418_0,esk419_0,esk421_0),esk421_0)
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(esk116_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0)) ),
inference(spm,[status(thm)],[c_0_2548,c_0_2561]) ).
cnf(c_0_2567,plain,
( element(esk116_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2562,c_0_2563]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2568,plain,
( ex_inf_of_relstr_set(X1,X2)
| related(X1,X3,esk116_3(X1,X2,X4))
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X4),X4) ),
i_0_536 ).
cnf(c_0_2569,negated_conjecture,
( related(esk418_0,esk115_3(esk418_0,esk419_0,esk421_0),esk421_0)
| related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(spm,[status(thm)],[c_0_2564,c_0_2565]) ).
cnf(c_0_2570,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_2517 ).
cnf(c_0_2571,negated_conjecture,
( related(esk418_0,esk116_3(esk418_0,esk419_0,esk421_0),esk421_0)
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(spm,[status(thm)],[c_0_2566,c_0_2567]) ).
cnf(c_0_2572,negated_conjecture,
antisymmetric_relstr(esk418_0),
i_0_2470 ).
cnf(c_0_2573,plain,
( related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| related(esk418_0,X1,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2568,c_0_2569]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2574,lemma,
( esk116_3(esk418_0,esk419_0,esk421_0) = esk421_0
| ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2570,c_0_2571]),c_0_2572]),c_0_2544])]),c_0_2545]),c_0_2567]) ).
cnf(c_0_2575,negated_conjecture,
( related(esk418_0,esk421_0,esk116_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2573,c_0_2543]),c_0_2545]) ).
cnf(c_0_2576,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk115_3(X1,X2,X3))
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_539 ).
cnf(c_0_2577,lemma,
( esk116_3(esk418_0,esk419_0,esk421_0) = esk421_0
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(spm,[status(thm)],[c_0_2574,c_0_2575]) ).
cnf(c_0_2578,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk115_3(X1,X2,X3),the_carrier(X1))
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_543 ).
cnf(c_0_2579,plain,
( ex_inf_of_relstr_set(X1,X2)
| esk116_3(X1,X2,X3) != X3
| ~ rel_str(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk115_3(X1,X2,X3),X3) ),
i_0_535 ).
cnf(c_0_2580,plain,
( relstr_element_smaller(esk418_0,esk419_0,esk115_3(esk418_0,esk419_0,esk421_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2576,c_0_2577]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2581,plain,
( element(esk115_3(esk418_0,esk419_0,esk421_0),the_carrier(esk418_0))
| ex_inf_of_relstr_set(esk418_0,esk419_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2578,c_0_2577]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2582,plain,
( ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ related(esk418_0,esk115_3(esk418_0,esk419_0,esk421_0),esk421_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2579,c_0_2577]),c_0_2544])]),c_0_2545]),c_0_2543]) ).
cnf(c_0_2583,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk420_1(X1))
| ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
i_0_2467 ).
cnf(c_0_2584,negated_conjecture,
ex_inf_of_relstr_set(esk418_0,esk419_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2548,c_0_2580]),c_0_2581]),c_0_2582]) ).
cnf(c_0_2585,plain,
( relstr_element_smaller(X1,X2,esk113_2(X1,X2))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
i_0_551 ).
cnf(c_0_2586,plain,
( element(esk113_2(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X2) ),
i_0_552 ).
cnf(c_0_2587,negated_conjecture,
( element(esk420_1(X1),the_carrier(esk418_0))
| ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1) ),
i_0_2468 ).
cnf(c_0_2588,plain,
( related(X1,X2,esk113_2(X1,X3))
| ~ rel_str(X1)
| ~ ex_inf_of_relstr_set(X1,X3)
| ~ relstr_element_smaller(X1,X3,X2)
| ~ element(X2,the_carrier(X1)) ),
i_0_550 ).
cnf(c_0_2589,negated_conjecture,
( relstr_element_smaller(esk418_0,esk419_0,esk420_1(X1))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2583,c_0_2584])]) ).
cnf(c_0_2590,plain,
relstr_element_smaller(esk418_0,esk419_0,esk113_2(esk418_0,esk419_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_2584]),c_0_2544])]) ).
cnf(c_0_2591,plain,
element(esk113_2(esk418_0,esk419_0),the_carrier(esk418_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2586,c_0_2584]),c_0_2544])]) ).
cnf(c_0_2592,negated_conjecture,
( element(esk420_1(X1),the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2587,c_0_2584])]) ).
cnf(c_0_2593,negated_conjecture,
( ~ ex_inf_of_relstr_set(esk418_0,esk419_0)
| ~ element(X1,the_carrier(esk418_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ related(esk418_0,esk420_1(X1),X1) ),
i_0_2466 ).
cnf(c_0_2594,plain,
( related(esk418_0,X1,esk113_2(esk418_0,esk419_0))
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2588,c_0_2584]),c_0_2544])]) ).
cnf(c_0_2595,negated_conjecture,
relstr_element_smaller(esk418_0,esk419_0,esk420_1(esk113_2(esk418_0,esk419_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2589,c_0_2590]),c_0_2591])]) ).
cnf(c_0_2596,plain,
element(esk420_1(esk113_2(esk418_0,esk419_0)),the_carrier(esk418_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2592,c_0_2590]),c_0_2591])]) ).
cnf(c_0_2597,negated_conjecture,
( ~ related(esk418_0,esk420_1(X1),X1)
| ~ relstr_element_smaller(esk418_0,esk419_0,X1)
| ~ element(X1,the_carrier(esk418_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2593,c_0_2584])]) ).
cnf(c_0_2598,plain,
related(esk418_0,esk420_1(esk113_2(esk418_0,esk419_0)),esk113_2(esk418_0,esk419_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2594,c_0_2595]),c_0_2596])]) ).
cnf(c_0_2599,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2597,c_0_2598]),c_0_2590]),c_0_2591])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU357+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 19:36:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 # 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
% 11.03/3.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.03/3.55 # No SInE strategy applied
% 11.03/3.55 # Trying AutoSched0 for 150 seconds
% 11.03/3.55 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 11.03/3.55 # and selection function SelectCQIPrecWNTNp.
% 11.03/3.55 #
% 11.03/3.55 # Preprocessing time : 0.032 s
% 11.03/3.55 # Presaturation interreduction done
% 11.03/3.55
% 11.03/3.55 # Proof found!
% 11.03/3.55 # SZS status Theorem
% 11.03/3.55 # SZS output start CNFRefutation
% See solution above
% 11.03/3.55 # Training examples: 0 positive, 0 negative
% 11.03/3.55
% 11.03/3.55 # -------------------------------------------------
% 11.03/3.55 # User time : 0.046 s
% 11.03/3.55 # System time : 0.006 s
% 11.03/3.55 # Total time : 0.052 s
% 11.03/3.55 # Maximum resident set size: 7184 pages
% 11.03/3.55
%------------------------------------------------------------------------------