TSTP Solution File: SEU385+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU385+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:41:45 EDT 2022
% Result : Theorem 21.77s 5.14s
% Output : CNFRefutation 21.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 31
% Syntax : Number of clauses : 103 ( 48 unt; 27 nHn; 100 RR)
% Number of literals : 275 ( 35 equ; 138 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 114 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_916,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_916) ).
cnf(i_0_3336,negated_conjecture,
element(esk499_0,the_carrier(esk498_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3336) ).
cnf(i_0_3339,negated_conjecture,
~ empty_carrier(esk498_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3339) ).
cnf(i_0_961,plain,
( relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_961) ).
cnf(i_0_3337,negated_conjecture,
net_str(esk498_0,esk497_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3337) ).
cnf(i_0_3340,negated_conjecture,
one_sorted_str(esk497_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3340) ).
cnf(i_0_3341,negated_conjecture,
~ empty_carrier(esk497_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3341) ).
cnf(i_0_3334,negated_conjecture,
element(esk501_0,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3334) ).
cnf(i_0_3333,negated_conjecture,
esk501_0 = esk500_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3333) ).
cnf(i_0_736,plain,
( partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X3)) = the_mapping(X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| X3 != netstr_restr_to_element(X2,X1,X4)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ net_str(X3,X2)
| ~ strict_net_str(X3,X2)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_736) ).
cnf(i_0_917,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_917) ).
cnf(i_0_1828,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1828) ).
cnf(i_0_963,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_963) ).
cnf(i_0_807,plain,
( apply_on_structs(X1,X2,the_mapping(X2,X1),X3) = apply_netmap(X2,X1,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_807) ).
cnf(i_0_3335,negated_conjecture,
element(esk500_0,the_carrier(esk498_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3335) ).
cnf(i_0_944,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_944) ).
cnf(i_0_557,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_557) ).
cnf(i_0_1809,plain,
( partfun_dom_restriction(X1,X2,X3,X4) = relation_dom_restriction(X3,X4)
| ~ function(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1809) ).
cnf(i_0_962,plain,
( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_962) ).
cnf(i_0_942,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_942) ).
cnf(i_0_959,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_959) ).
cnf(i_0_3643,lemma,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3643) ).
cnf(i_0_1805,plain,
( apply_on_structs(X1,X2,X3,X4) = apply(X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X1)
| ~ function(X3)
| ~ element(X4,the_carrier(X1))
| ~ relation_of2(X3,the_carrier(X1),the_carrier(X2))
| ~ quasi_total(X3,the_carrier(X1),the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1805) ).
cnf(i_0_999,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| relation(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_999) ).
cnf(i_0_3,plain,
( net_str_of(X1,the_carrier(X2),the_InternalRel(X2),the_mapping(X1,X2)) = X2
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ strict_net_str(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3) ).
cnf(i_0_614,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_614) ).
cnf(i_0_3332,negated_conjecture,
apply_netmap(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk501_0) != apply_netmap(esk497_0,esk498_0,esk500_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3332) ).
cnf(i_0_1305,plain,
( empty(X1)
| ~ one_sorted_str(X2)
| ~ function(X3)
| ~ relation_of2(X4,X1,X1)
| ~ relation_of2(X3,X1,the_carrier(X2))
| ~ quasi_total(X3,X1,the_carrier(X2))
| ~ empty_carrier(net_str_of(X2,X1,X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1305) ).
cnf(i_0_1135,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(cast_as_carrier_subset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1135) ).
cnf(i_0_1088,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ empty_carrier(netstr_restr_to_element(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_1088) ).
cnf(i_0_3338,negated_conjecture,
directed_relstr(esk498_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vq4hir90/lgb.p',i_0_3338) ).
cnf(c_0_3675,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_916 ).
cnf(c_0_3676,negated_conjecture,
element(esk499_0,the_carrier(esk498_0)),
i_0_3336 ).
cnf(c_0_3677,negated_conjecture,
~ empty_carrier(esk498_0),
i_0_3339 ).
cnf(c_0_3678,plain,
( relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_961 ).
cnf(c_0_3679,negated_conjecture,
net_str(esk498_0,esk497_0),
i_0_3337 ).
cnf(c_0_3680,negated_conjecture,
one_sorted_str(esk497_0),
i_0_3340 ).
cnf(c_0_3681,negated_conjecture,
( empty_carrier(X1)
| net_str(netstr_restr_to_element(X1,esk498_0,esk499_0),X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk498_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3675,c_0_3676]),c_0_3677]) ).
cnf(c_0_3682,negated_conjecture,
~ empty_carrier(esk497_0),
i_0_3341 ).
cnf(c_0_3683,negated_conjecture,
element(esk501_0,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
i_0_3334 ).
cnf(c_0_3684,negated_conjecture,
esk501_0 = esk500_0,
i_0_3333 ).
cnf(c_0_3685,plain,
( partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X3)) = the_mapping(X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| X3 != netstr_restr_to_element(X2,X1,X4)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ net_str(X3,X2)
| ~ strict_net_str(X3,X2)
| ~ element(X4,the_carrier(X1)) ),
i_0_736 ).
cnf(c_0_3686,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| strict_net_str(netstr_restr_to_element(X2,X1,X3),X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_917 ).
cnf(c_0_3687,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_1828 ).
cnf(c_0_3688,negated_conjecture,
relation_of2_as_subset(the_mapping(esk497_0,esk498_0),the_carrier(esk498_0),the_carrier(esk497_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3678,c_0_3679]),c_0_3680])]) ).
cnf(c_0_3689,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_963 ).
cnf(c_0_3690,plain,
( apply_on_structs(X1,X2,the_mapping(X2,X1),X3) = apply_netmap(X2,X1,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_807 ).
cnf(c_0_3691,negated_conjecture,
element(esk500_0,the_carrier(esk498_0)),
i_0_3335 ).
cnf(c_0_3692,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_944 ).
cnf(c_0_3693,negated_conjecture,
net_str(netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk497_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3681,c_0_3679]),c_0_3680])]),c_0_3682]) ).
cnf(c_0_3694,negated_conjecture,
element(esk500_0,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
inference(rw,[status(thm)],[c_0_3683,c_0_3684]) ).
cnf(c_0_3695,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_557 ).
cnf(c_0_3696,plain,
( partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(netstr_restr_to_element(X2,X1,X3))) = the_mapping(X2,netstr_restr_to_element(X2,X1,X3))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3685]),c_0_3675]),c_0_3686]) ).
cnf(c_0_3697,plain,
( partfun_dom_restriction(X1,X2,X3,X4) = relation_dom_restriction(X3,X4)
| ~ function(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_1809 ).
cnf(c_0_3698,plain,
relation_of2(the_mapping(esk497_0,esk498_0),the_carrier(esk498_0),the_carrier(esk497_0)),
inference(spm,[status(thm)],[c_0_3687,c_0_3688]) ).
cnf(c_0_3699,negated_conjecture,
function(the_mapping(esk497_0,esk498_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3689,c_0_3679]),c_0_3680])]) ).
cnf(c_0_3700,negated_conjecture,
( apply_on_structs(esk498_0,X1,the_mapping(X1,esk498_0),esk500_0) = apply_netmap(X1,esk498_0,esk500_0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk498_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3690,c_0_3691]),c_0_3677]) ).
cnf(c_0_3701,plain,
( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_962 ).
cnf(c_0_3702,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
i_0_942 ).
cnf(c_0_3703,negated_conjecture,
rel_str(esk498_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3692,c_0_3679]),c_0_3680])]) ).
cnf(c_0_3704,negated_conjecture,
( strict_net_str(netstr_restr_to_element(X1,esk498_0,esk499_0),X1)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk498_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3686,c_0_3676]),c_0_3677]) ).
cnf(c_0_3705,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_959 ).
cnf(c_0_3706,plain,
rel_str(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3692,c_0_3693]),c_0_3680])]) ).
cnf(c_0_3707,negated_conjecture,
( apply_on_structs(netstr_restr_to_element(esk497_0,esk498_0,esk499_0),X1,the_mapping(X1,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),esk500_0) = apply_netmap(X1,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk500_0)
| empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(netstr_restr_to_element(esk497_0,esk498_0,esk499_0),X1) ),
inference(spm,[status(thm)],[c_0_3690,c_0_3694]) ).
cnf(c_0_3708,plain,
relation_of2_as_subset(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(esk497_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3678,c_0_3693]),c_0_3680])]) ).
cnf(c_0_3709,lemma,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_3643 ).
cnf(c_0_3710,negated_conjecture,
( empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)))
| in(esk500_0,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))) ),
inference(spm,[status(thm)],[c_0_3695,c_0_3694]) ).
cnf(c_0_3711,negated_conjecture,
( partfun_dom_restriction(the_carrier(esk498_0),the_carrier(X1),the_mapping(X1,esk498_0),the_carrier(netstr_restr_to_element(X1,esk498_0,esk499_0))) = the_mapping(X1,netstr_restr_to_element(X1,esk498_0,esk499_0))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk498_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3696,c_0_3676]),c_0_3677]) ).
cnf(c_0_3712,plain,
partfun_dom_restriction(the_carrier(esk498_0),the_carrier(esk497_0),the_mapping(esk497_0,esk498_0),X1) = relation_dom_restriction(the_mapping(esk497_0,esk498_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3697,c_0_3698]),c_0_3699])]) ).
cnf(c_0_3713,plain,
( apply_on_structs(X1,X2,X3,X4) = apply(X3,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ one_sorted_str(X1)
| ~ function(X3)
| ~ element(X4,the_carrier(X1))
| ~ relation_of2(X3,the_carrier(X1),the_carrier(X2))
| ~ quasi_total(X3,the_carrier(X1),the_carrier(X2)) ),
i_0_1805 ).
cnf(c_0_3714,negated_conjecture,
apply_on_structs(esk498_0,esk497_0,the_mapping(esk497_0,esk498_0),esk500_0) = apply_netmap(esk497_0,esk498_0,esk500_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3700,c_0_3679]),c_0_3680])]),c_0_3682]) ).
cnf(c_0_3715,negated_conjecture,
quasi_total(the_mapping(esk497_0,esk498_0),the_carrier(esk498_0),the_carrier(esk497_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3701,c_0_3679]),c_0_3680])]) ).
cnf(c_0_3716,plain,
one_sorted_str(esk498_0),
inference(spm,[status(thm)],[c_0_3702,c_0_3703]) ).
cnf(c_0_3717,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| relation(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_999 ).
cnf(c_0_3718,plain,
( net_str_of(X1,the_carrier(X2),the_InternalRel(X2),the_mapping(X1,X2)) = X2
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ strict_net_str(X2,X1) ),
i_0_3 ).
cnf(c_0_3719,negated_conjecture,
strict_net_str(netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk497_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3704,c_0_3679]),c_0_3680])]),c_0_3682]) ).
cnf(c_0_3720,plain,
relation_of2_as_subset(the_InternalRel(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
inference(spm,[status(thm)],[c_0_3705,c_0_3706]) ).
cnf(c_0_3721,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
i_0_614 ).
cnf(c_0_3722,plain,
one_sorted_str(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),
inference(spm,[status(thm)],[c_0_3702,c_0_3706]) ).
cnf(c_0_3723,negated_conjecture,
( apply_on_structs(netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk497_0,the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),esk500_0) = apply_netmap(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk500_0)
| empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3707,c_0_3693]),c_0_3680])]),c_0_3682]) ).
cnf(c_0_3724,plain,
quasi_total(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(esk497_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3701,c_0_3693]),c_0_3680])]) ).
cnf(c_0_3725,plain,
relation_of2(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(esk497_0)),
inference(spm,[status(thm)],[c_0_3687,c_0_3708]) ).
cnf(c_0_3726,plain,
function(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3689,c_0_3693]),c_0_3680])]) ).
cnf(c_0_3727,negated_conjecture,
( apply(relation_dom_restriction(X1,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),esk500_0) = apply(X1,esk500_0)
| empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_3709,c_0_3710]) ).
cnf(c_0_3728,negated_conjecture,
relation_dom_restriction(the_mapping(esk497_0,esk498_0),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))) = the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3711,c_0_3679]),c_0_3712]),c_0_3680])]),c_0_3682]) ).
cnf(c_0_3729,plain,
apply(the_mapping(esk497_0,esk498_0),esk500_0) = apply_netmap(esk497_0,esk498_0,esk500_0),
inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3713,c_0_3714]),c_0_3715]),c_0_3698]),c_0_3699]),c_0_3680]),c_0_3716]),c_0_3691])]),c_0_3682]),c_0_3677]) ).
cnf(c_0_3730,negated_conjecture,
relation(the_mapping(esk497_0,esk498_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3717,c_0_3679]),c_0_3680])]),c_0_3682]),c_0_3677]) ).
cnf(c_0_3731,negated_conjecture,
apply_netmap(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk501_0) != apply_netmap(esk497_0,esk498_0,esk500_0),
i_0_3332 ).
cnf(c_0_3732,plain,
( empty(X1)
| ~ one_sorted_str(X2)
| ~ function(X3)
| ~ relation_of2(X4,X1,X1)
| ~ relation_of2(X3,X1,the_carrier(X2))
| ~ quasi_total(X3,X1,the_carrier(X2))
| ~ empty_carrier(net_str_of(X2,X1,X4,X3)) ),
i_0_1305 ).
cnf(c_0_3733,plain,
net_str_of(esk497_0,the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_InternalRel(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0))) = netstr_restr_to_element(esk497_0,esk498_0,esk499_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3718,c_0_3719]),c_0_3680]),c_0_3693])]) ).
cnf(c_0_3734,plain,
relation_of2(the_InternalRel(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
inference(spm,[status(thm)],[c_0_3687,c_0_3720]) ).
cnf(c_0_3735,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(cast_as_carrier_subset(X1)) ),
i_0_1135 ).
cnf(c_0_3736,plain,
cast_as_carrier_subset(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)) = the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),
inference(spm,[status(thm)],[c_0_3721,c_0_3722]) ).
cnf(c_0_3737,plain,
( apply(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),esk500_0) = apply_netmap(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk500_0)
| empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3713,c_0_3723]),c_0_3724]),c_0_3725]),c_0_3726]),c_0_3680]),c_0_3722]),c_0_3694])]),c_0_3682]) ).
cnf(c_0_3738,negated_conjecture,
( apply(the_mapping(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),esk500_0) = apply_netmap(esk497_0,esk498_0,esk500_0)
| empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3727,c_0_3728]),c_0_3729]),c_0_3730]),c_0_3699])]) ).
cnf(c_0_3739,negated_conjecture,
apply_netmap(esk497_0,netstr_restr_to_element(esk497_0,esk498_0,esk499_0),esk500_0) != apply_netmap(esk497_0,esk498_0,esk500_0),
inference(rw,[status(thm)],[c_0_3731,c_0_3684]) ).
cnf(c_0_3740,plain,
( empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)))
| ~ empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3732,c_0_3733]),c_0_3724]),c_0_3725]),c_0_3734]),c_0_3726]),c_0_3680])]) ).
cnf(c_0_3741,plain,
( empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))
| ~ empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3735,c_0_3736]),c_0_3722])]) ).
cnf(c_0_3742,plain,
empty(the_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3737,c_0_3738]),c_0_3739]),c_0_3740]) ).
cnf(c_0_3743,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ empty_carrier(netstr_restr_to_element(X2,X1,X3)) ),
i_0_1088 ).
cnf(c_0_3744,plain,
empty_carrier(netstr_restr_to_element(esk497_0,esk498_0,esk499_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3741,c_0_3742])]) ).
cnf(c_0_3745,negated_conjecture,
directed_relstr(esk498_0),
i_0_3338 ).
cnf(c_0_3746,plain,
$false,
inference(sr,[status(thm)],[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_3743,c_0_3744]),c_0_3745]),c_0_3680]),c_0_3679]),c_0_3676])]),c_0_3682]),c_0_3677]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU385+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 : n026.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 23:31:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.51 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 21.77/5.14 # ENIGMATIC: Solved by autoschedule-lgb:
% 21.77/5.14 # No SInE strategy applied
% 21.77/5.14 # Trying AutoSched0 for 150 seconds
% 21.77/5.14 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S007N
% 21.77/5.14 # and selection function PSelectLargestNegLit.
% 21.77/5.14 #
% 21.77/5.14 # Preprocessing time : 0.031 s
% 21.77/5.14 # Presaturation interreduction done
% 21.77/5.14
% 21.77/5.14 # Proof found!
% 21.77/5.14 # SZS status Theorem
% 21.77/5.14 # SZS output start CNFRefutation
% See solution above
% 21.77/5.14 # Training examples: 0 positive, 0 negative
% 21.77/5.14
% 21.77/5.14 # -------------------------------------------------
% 21.77/5.14 # User time : 1.720 s
% 21.77/5.14 # System time : 0.035 s
% 21.77/5.14 # Total time : 1.755 s
% 21.77/5.14 # Maximum resident set size: 7264 pages
% 21.77/5.14
%------------------------------------------------------------------------------