TSTP Solution File: SEU390+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU390+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:41:48 EDT 2022
% Result : Theorem 18.71s 3.78s
% Output : CNFRefutation 18.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 33
% Syntax : Number of clauses : 97 ( 21 unt; 55 nHn; 93 RR)
% Number of literals : 487 ( 43 equ; 277 neg)
% Maximal clause size : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 231 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_140,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_140) ).
cnf(i_0_58,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_58) ).
cnf(i_0_150,plain,
( X1 = empty_set
| in(apply(X2,X3),relation_rng(X2))
| ~ function(X2)
| ~ in(X3,X4)
| ~ quasi_total(X2,X4,X1)
| ~ relation_of2_as_subset(X2,X4,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_150) ).
cnf(i_0_60,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_60) ).
cnf(i_0_59,plain,
( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_59) ).
cnf(i_0_25,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_25) ).
cnf(i_0_135,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_135) ).
cnf(i_0_47,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_47) ).
cnf(i_0_40,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_40) ).
cnf(i_0_142,plain,
( apply_netmap(X1,X2,X3) = apply_netmap(X1,netstr_restr_to_element(X1,X2,X4),X5)
| empty_carrier(X2)
| empty_carrier(X1)
| X3 != X5
| ~ one_sorted_str(X1)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ element(X5,the_carrier(netstr_restr_to_element(X1,X2,X4))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_142) ).
cnf(i_0_45,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_45) ).
cnf(i_0_13,plain,
( relation_rng_as_subset(the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))),the_carrier(X1),the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)))) = X3
| empty_carrier(X2)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_13) ).
cnf(i_0_50,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(X3,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ netstr_induced_subset(X3,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_50) ).
cnf(i_0_82,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_82) ).
cnf(i_0_137,plain,
( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
| ~ relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_137) ).
cnf(i_0_143,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_143) ).
cnf(i_0_14,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk3_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ netstr_induced_subset(X3,X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_14) ).
cnf(i_0_21,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(X4))
| X5 != X3
| X4 != netstr_restr_to_element(X1,X2,X6)
| ~ one_sorted_str(X1)
| ~ net_str(X4,X1)
| ~ net_str(X2,X1)
| ~ strict_net_str(X4,X1)
| ~ related(X2,X6,X5)
| ~ element(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_21) ).
cnf(i_0_41,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/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_41) ).
cnf(i_0_7,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ in(apply_netmap(X2,X1,esk2_4(X2,X1,X3,X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_7) ).
cnf(i_0_144,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_144) ).
cnf(i_0_8,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X3)
| related(X2,X4,esk2_4(X1,X2,X3,X4))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_8) ).
cnf(i_0_9,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| element(esk2_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_9) ).
cnf(i_0_153,negated_conjecture,
~ is_eventually_in(esk29_0,esk30_0,esk31_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_153) ).
cnf(i_0_154,negated_conjecture,
netstr_induced_subset(esk31_0,esk29_0,esk30_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_154) ).
cnf(i_0_155,negated_conjecture,
net_str(esk30_0,esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_155) ).
cnf(i_0_156,negated_conjecture,
directed_relstr(esk30_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_156) ).
cnf(i_0_159,negated_conjecture,
one_sorted_str(esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_159) ).
cnf(i_0_158,negated_conjecture,
~ empty_carrier(esk30_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_158) ).
cnf(i_0_160,negated_conjecture,
~ empty_carrier(esk29_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_160) ).
cnf(i_0_149,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_149) ).
cnf(i_0_79,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_79) ).
cnf(i_0_71,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qriqw0pf/input.p',i_0_71) ).
cnf(c_0_194,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_140 ).
cnf(c_0_195,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_58 ).
cnf(c_0_196,plain,
( X1 = empty_set
| in(apply(X2,X3),relation_rng(X2))
| ~ function(X2)
| ~ in(X3,X4)
| ~ quasi_total(X2,X4,X1)
| ~ relation_of2_as_subset(X2,X4,X1) ),
i_0_150 ).
cnf(c_0_197,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_60 ).
cnf(c_0_198,plain,
( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_59 ).
cnf(c_0_199,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_25 ).
cnf(c_0_200,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_135 ).
cnf(c_0_201,plain,
( relation_of2(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_202,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_47 ).
cnf(c_0_203,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_40 ).
cnf(c_0_204,plain,
( the_carrier(X1) = empty_set
| in(apply(the_mapping(X1,X2),X3),relation_rng(the_mapping(X1,X2)))
| ~ in(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_195]),c_0_197]),c_0_198]) ).
cnf(c_0_205,plain,
( apply(the_mapping(X1,X2),X3) = apply_netmap(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| ~ one_sorted_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_197]),c_0_198]) ).
cnf(c_0_206,plain,
( apply_netmap(X1,X2,X3) = apply_netmap(X1,netstr_restr_to_element(X1,X2,X4),X5)
| empty_carrier(X2)
| empty_carrier(X1)
| X3 != X5
| ~ one_sorted_str(X1)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ element(X5,the_carrier(netstr_restr_to_element(X1,X2,X4))) ),
i_0_142 ).
cnf(c_0_207,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
i_0_45 ).
cnf(c_0_208,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| rel_str(netstr_restr_to_element(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_209,plain,
( relation_rng_as_subset(the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))),the_carrier(X1),the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)))) = X3
| empty_carrier(X2)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_13 ).
cnf(c_0_210,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(X3,powerset(the_carrier(X2)))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ netstr_induced_subset(X3,X2,X1) ),
i_0_50 ).
cnf(c_0_211,plain,
( the_carrier(X1) = empty_set
| in(apply_netmap(X1,X2,X3),relation_rng(the_mapping(X1,X2)))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(X3,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_212,plain,
( apply_netmap(X1,netstr_restr_to_element(X1,X2,X3),X4) = apply_netmap(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(netstr_restr_to_element(X1,X2,X3)))
| ~ element(X3,the_carrier(X2))
| ~ element(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(er,[status(thm)],[c_0_206]) ).
cnf(c_0_213,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| one_sorted_str(netstr_restr_to_element(X2,X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_214,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_82 ).
cnf(c_0_215,plain,
( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_137 ).
cnf(c_0_216,plain,
( relation_rng_as_subset(the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))),the_carrier(X1),the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)))) = X3
| empty_carrier(X1)
| empty_carrier(X2)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_217,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_143 ).
cnf(c_0_218,plain,
( the_carrier(X1) = empty_set
| in(apply_netmap(X1,X2,X3),relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,X4))))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(X3,the_carrier(netstr_restr_to_element(X1,X2,X4)))
| ~ element(X3,the_carrier(netstr_restr_to_element(X1,X2,X4)))
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_203]),c_0_214]) ).
cnf(c_0_219,plain,
( relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)))) = X3
| empty_carrier(X2)
| empty_carrier(X1)
| ~ relation_of2(the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))),the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))),the_carrier(X1))
| ~ netstr_induced_subset(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_220,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk3_3(X2,X1,X3),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ netstr_induced_subset(X3,X2,X1)
| ~ element(X3,powerset(the_carrier(X2))) ),
i_0_14 ).
cnf(c_0_221,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,the_carrier(X4))
| X5 != X3
| X4 != netstr_restr_to_element(X1,X2,X6)
| ~ one_sorted_str(X1)
| ~ net_str(X4,X1)
| ~ net_str(X2,X1)
| ~ strict_net_str(X4,X1)
| ~ related(X2,X6,X5)
| ~ element(X6,the_carrier(X2))
| ~ element(X5,the_carrier(X2)) ),
i_0_21 ).
cnf(c_0_222,plain,
( the_carrier(X1) = empty_set
| empty_carrier(X1)
| empty_carrier(X2)
| element(apply_netmap(X1,X2,X3),relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,X4))))
| ~ in(X3,the_carrier(netstr_restr_to_element(X1,X2,X4)))
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_217]) ).
cnf(c_0_223,plain,
( relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)))) = X3
| empty_carrier(X1)
| empty_carrier(X2)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ net_str(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3)),X1)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_219,c_0_201]) ).
cnf(c_0_224,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk3_3(X2,X1,X3),the_carrier(X1))
| ~ netstr_induced_subset(X3,X2,X1)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(csr,[status(thm)],[c_0_220,c_0_210]) ).
cnf(c_0_225,plain,
( in(X1,the_carrier(X2))
| empty_carrier(X3)
| empty_carrier(X4)
| X2 != netstr_restr_to_element(X4,X3,X5)
| ~ related(X3,X5,X1)
| ~ strict_net_str(X2,X4)
| ~ element(X5,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ net_str(X2,X4)
| ~ net_str(X3,X4)
| ~ one_sorted_str(X4) ),
inference(er,[status(thm)],[c_0_221]) ).
cnf(c_0_226,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_41 ).
cnf(c_0_227,plain,
( the_carrier(X1) = empty_set
| empty_carrier(X2)
| empty_carrier(X1)
| element(apply_netmap(X1,X2,X3),X4)
| ~ in(X3,the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X4))))
| ~ netstr_induced_subset(X4,X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_203]),c_0_224]) ).
cnf(c_0_228,plain,
( in(X1,the_carrier(netstr_restr_to_element(X2,X3,X4)))
| empty_carrier(X2)
| empty_carrier(X3)
| ~ related(X3,X4,X1)
| ~ element(X4,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_225]),c_0_203]),c_0_226]) ).
cnf(c_0_229,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1))
| ~ in(apply_netmap(X2,X1,esk2_4(X2,X1,X3,X4)),X3) ),
i_0_7 ).
cnf(c_0_230,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_144 ).
cnf(c_0_231,plain,
( the_carrier(X1) = empty_set
| empty_carrier(X1)
| empty_carrier(X2)
| element(apply_netmap(X1,X2,X3),X4)
| ~ related(X2,esk3_3(X1,X2,X4),X3)
| ~ netstr_induced_subset(X4,X1,X2)
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_224]) ).
cnf(c_0_232,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X1,X2,X3)
| related(X2,X4,esk2_4(X1,X2,X3,X4))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X4,the_carrier(X2)) ),
i_0_8 ).
cnf(c_0_233,plain,
( is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| empty(X3)
| ~ element(apply_netmap(X1,X2,esk2_4(X1,X2,X3,X4)),X3)
| ~ element(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_234,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X3)
| empty_carrier(X1)
| element(apply_netmap(X1,X3,esk2_4(X2,X3,X4,esk3_3(X1,X3,X5))),X5)
| ~ netstr_induced_subset(X5,X1,X3)
| ~ element(esk2_4(X2,X3,X4,esk3_3(X1,X3,X5)),the_carrier(X3))
| ~ net_str(X3,X1)
| ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ one_sorted_str(X1)
| ~ one_sorted_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_224]) ).
cnf(c_0_235,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_eventually_in(X2,X1,X3)
| element(esk2_4(X2,X1,X3,X4),the_carrier(X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| ~ element(X4,the_carrier(X1)) ),
i_0_9 ).
cnf(c_0_236,negated_conjecture,
~ is_eventually_in(esk29_0,esk30_0,esk31_0),
i_0_153 ).
cnf(c_0_237,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| empty(X3)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_224]) ).
cnf(c_0_238,negated_conjecture,
netstr_induced_subset(esk31_0,esk29_0,esk30_0),
i_0_154 ).
cnf(c_0_239,negated_conjecture,
net_str(esk30_0,esk29_0),
i_0_155 ).
cnf(c_0_240,negated_conjecture,
directed_relstr(esk30_0),
i_0_156 ).
cnf(c_0_241,negated_conjecture,
one_sorted_str(esk29_0),
i_0_159 ).
cnf(c_0_242,negated_conjecture,
~ empty_carrier(esk30_0),
i_0_158 ).
cnf(c_0_243,negated_conjecture,
~ empty_carrier(esk29_0),
i_0_160 ).
cnf(c_0_244,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_149 ).
cnf(c_0_245,negated_conjecture,
( the_carrier(esk29_0) = empty_set
| empty(esk31_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(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_239]),c_0_240]),c_0_241])]),c_0_242]),c_0_243]) ).
cnf(c_0_246,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X1,X2,relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,X3))))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(esk2_4(X1,X2,relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,X3))),X4),the_carrier(netstr_restr_to_element(X1,X2,X3)))
| ~ element(esk2_4(X1,X2,relation_rng(the_mapping(X1,netstr_restr_to_element(X1,X2,X3))),X4),the_carrier(netstr_restr_to_element(X1,X2,X3)))
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_218]),c_0_235]) ).
cnf(c_0_247,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_79 ).
cnf(c_0_248,plain,
( the_carrier(esk29_0) = empty_set
| esk31_0 = empty_set ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_249,plain,
empty(empty_set),
i_0_71 ).
cnf(c_0_250,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(esk2_4(X1,X2,X3,X4),the_carrier(netstr_restr_to_element(X1,X2,esk3_3(X1,X2,X3))))
| ~ netstr_induced_subset(X3,X1,X2)
| ~ element(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_223]),c_0_203]),c_0_224]),c_0_217]) ).
cnf(c_0_251,plain,
esk31_0 = empty_set,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_241])]),c_0_243]) ).
cnf(c_0_252,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| empty_carrier(X2)
| ~ related(X2,esk3_3(X1,X2,X3),esk2_4(X1,X2,X3,X4))
| ~ netstr_induced_subset(X3,X1,X2)
| ~ element(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_228]),c_0_235]),c_0_224]) ).
cnf(c_0_253,negated_conjecture,
~ is_eventually_in(esk29_0,esk30_0,empty_set),
inference(rw,[status(thm)],[c_0_236,c_0_251]) ).
cnf(c_0_254,plain,
( the_carrier(X1) = empty_set
| is_eventually_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ netstr_induced_subset(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_232]),c_0_224]) ).
cnf(c_0_255,negated_conjecture,
netstr_induced_subset(empty_set,esk29_0,esk30_0),
inference(rw,[status(thm)],[c_0_238,c_0_251]) ).
cnf(c_0_256,negated_conjecture,
the_carrier(esk29_0) = empty_set,
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_253,c_0_254]),c_0_255]),c_0_239]),c_0_240]),c_0_241])]),c_0_242]),c_0_243]) ).
cnf(c_0_257,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_256]),c_0_249]),c_0_241])]),c_0_243]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU390+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.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 : Mon Jun 20 01:05:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 18.71/3.78 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.71/3.78 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 18.71/3.78 # Preprocessing time : 1.292 s
% 18.71/3.78
% 18.71/3.78 # Proof found!
% 18.71/3.78 # SZS status Theorem
% 18.71/3.78 # SZS output start CNFRefutation
% See solution above
% 18.71/3.78 # Training examples: 0 positive, 0 negative
% 18.71/3.78
% 18.71/3.78 # -------------------------------------------------
% 18.71/3.78 # User time : 1.263 s
% 18.71/3.78 # System time : 0.152 s
% 18.71/3.78 # Total time : 1.415 s
% 18.71/3.78 # ...preprocessing : 1.292 s
% 18.71/3.78 # ...main loop : 0.123 s
% 18.71/3.78 # Maximum resident set size: 178664 pages
% 18.71/3.78
%------------------------------------------------------------------------------