TSTP Solution File: SEU385+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 8.17s 2.24s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of clauses : 90 ( 45 unt; 24 nHn; 87 RR)
% Number of literals : 237 ( 32 equ; 118 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 : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 100 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_45,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-ciycuyj9/lgb.p',i_0_45) ).
cnf(i_0_126,negated_conjecture,
element(esk24_0,the_carrier(esk23_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_126) ).
cnf(i_0_129,negated_conjecture,
~ empty_carrier(esk23_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_129) ).
cnf(i_0_57,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-ciycuyj9/lgb.p',i_0_57) ).
cnf(i_0_127,negated_conjecture,
net_str(esk23_0,esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_127) ).
cnf(i_0_130,negated_conjecture,
one_sorted_str(esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_130) ).
cnf(i_0_51,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_51) ).
cnf(i_0_131,negated_conjecture,
~ empty_carrier(esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_131) ).
cnf(i_0_124,negated_conjecture,
element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_124) ).
cnf(i_0_123,negated_conjecture,
esk26_0 = esk25_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_123) ).
cnf(i_0_58,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-ciycuyj9/lgb.p',i_0_58) ).
cnf(i_0_120,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_120) ).
cnf(i_0_59,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_59) ).
cnf(i_0_49,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_49) ).
cnf(i_0_32,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-ciycuyj9/lgb.p',i_0_32) ).
cnf(i_0_125,negated_conjecture,
element(esk25_0,the_carrier(esk23_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_125) ).
cnf(i_0_78,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-ciycuyj9/lgb.p',i_0_78) ).
cnf(i_0_128,negated_conjecture,
directed_relstr(esk23_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_128) ).
cnf(i_0_133,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_133) ).
cnf(i_0_116,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-ciycuyj9/lgb.p',i_0_116) ).
cnf(i_0_139,plain,
( 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-ciycuyj9/lgb.p',i_0_139) ).
cnf(i_0_69,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-ciycuyj9/lgb.p',i_0_69) ).
cnf(i_0_26,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-ciycuyj9/lgb.p',i_0_26) ).
cnf(i_0_46,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-ciycuyj9/lgb.p',i_0_46) ).
cnf(i_0_117,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-ciycuyj9/lgb.p',i_0_117) ).
cnf(i_0_75,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_75) ).
cnf(i_0_122,negated_conjecture,
apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0) != apply_netmap(esk22_0,esk23_0,esk25_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ciycuyj9/lgb.p',i_0_122) ).
cnf(c_0_167,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_45 ).
cnf(c_0_168,negated_conjecture,
element(esk24_0,the_carrier(esk23_0)),
i_0_126 ).
cnf(c_0_169,negated_conjecture,
~ empty_carrier(esk23_0),
i_0_129 ).
cnf(c_0_170,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_57 ).
cnf(c_0_171,negated_conjecture,
net_str(esk23_0,esk22_0),
i_0_127 ).
cnf(c_0_172,negated_conjecture,
one_sorted_str(esk22_0),
i_0_130 ).
cnf(c_0_173,plain,
( rel_str(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_51 ).
cnf(c_0_174,negated_conjecture,
( empty_carrier(X1)
| net_str(netstr_restr_to_element(X1,esk23_0,esk24_0),X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_175,negated_conjecture,
~ empty_carrier(esk22_0),
i_0_131 ).
cnf(c_0_176,negated_conjecture,
element(esk26_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
i_0_124 ).
cnf(c_0_177,negated_conjecture,
esk26_0 = esk25_0,
i_0_123 ).
cnf(c_0_178,plain,
( quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_58 ).
cnf(c_0_179,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_120 ).
cnf(c_0_180,negated_conjecture,
relation_of2_as_subset(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172])]) ).
cnf(c_0_181,plain,
( function(the_mapping(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
i_0_59 ).
cnf(c_0_182,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
i_0_49 ).
cnf(c_0_183,negated_conjecture,
rel_str(esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_171]),c_0_172])]) ).
cnf(c_0_184,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_32 ).
cnf(c_0_185,negated_conjecture,
element(esk25_0,the_carrier(esk23_0)),
i_0_125 ).
cnf(c_0_186,negated_conjecture,
net_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk22_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_171]),c_0_172])]),c_0_175]) ).
cnf(c_0_187,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_78 ).
cnf(c_0_188,negated_conjecture,
directed_relstr(esk23_0),
i_0_128 ).
cnf(c_0_189,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_133 ).
cnf(c_0_190,negated_conjecture,
element(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(rw,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_191,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_116 ).
cnf(c_0_192,negated_conjecture,
quasi_total(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_171]),c_0_172])]) ).
cnf(c_0_193,plain,
relation_of2(the_mapping(esk22_0,esk23_0),the_carrier(esk23_0),the_carrier(esk22_0)),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_194,negated_conjecture,
function(the_mapping(esk22_0,esk23_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_171]),c_0_172])]) ).
cnf(c_0_195,plain,
one_sorted_str(esk23_0),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_196,negated_conjecture,
( apply_on_structs(esk23_0,X1,the_mapping(X1,esk23_0),esk25_0) = apply_netmap(X1,esk23_0,esk25_0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_169]) ).
cnf(c_0_197,plain,
relation_of2_as_subset(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_186]),c_0_172])]) ).
cnf(c_0_198,plain,
rel_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_186]),c_0_172])]) ).
cnf(c_0_199,negated_conjecture,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty_carrier(netstr_restr_to_element(X1,esk23_0,esk24_0))
| ~ net_str(esk23_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_168]),c_0_188])]),c_0_169]) ).
cnf(c_0_200,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_139 ).
cnf(c_0_201,negated_conjecture,
( empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))
| in(esk25_0,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_202,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| relation(the_mapping(X2,X1))
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2) ),
i_0_69 ).
cnf(c_0_203,negated_conjecture,
( apply_on_structs(esk23_0,esk22_0,the_mapping(esk22_0,esk23_0),X1) = apply(the_mapping(esk22_0,esk23_0),X1)
| ~ element(X1,the_carrier(esk23_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_191,c_0_192]),c_0_193]),c_0_194]),c_0_172]),c_0_195])]),c_0_175]),c_0_169]) ).
cnf(c_0_204,negated_conjecture,
apply_on_structs(esk23_0,esk22_0,the_mapping(esk22_0,esk23_0),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_171]),c_0_172])]),c_0_175]) ).
cnf(c_0_205,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_26 ).
cnf(c_0_206,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_46 ).
cnf(c_0_207,plain,
quasi_total(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_186]),c_0_172])]) ).
cnf(c_0_208,plain,
relation_of2(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),the_carrier(esk22_0)),
inference(spm,[status(thm)],[c_0_179,c_0_197]) ).
cnf(c_0_209,plain,
function(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_186]),c_0_172])]) ).
cnf(c_0_210,plain,
one_sorted_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(spm,[status(thm)],[c_0_182,c_0_198]) ).
cnf(c_0_211,negated_conjecture,
~ empty_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_171]),c_0_172])]),c_0_175]) ).
cnf(c_0_212,negated_conjecture,
( apply(relation_dom_restriction(X1,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),esk25_0) = apply(X1,esk25_0)
| empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0)))
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_213,negated_conjecture,
relation(the_mapping(esk22_0,esk23_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_171]),c_0_172])]),c_0_175]),c_0_169]) ).
cnf(c_0_214,negated_conjecture,
apply(the_mapping(esk22_0,esk23_0),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_185]),c_0_204]) ).
cnf(c_0_215,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_205]),c_0_167]),c_0_206]) ).
cnf(c_0_216,plain,
( partfun_dom_restriction(X1,X2,X3,X4) = relation_dom_restriction(X3,X4)
| ~ function(X3)
| ~ relation_of2(X3,X1,X2) ),
i_0_117 ).
cnf(c_0_217,plain,
( apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk22_0,the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),X1) = apply(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),X1)
| ~ element(X1,the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_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_191,c_0_207]),c_0_208]),c_0_209]),c_0_172]),c_0_210])]),c_0_175]),c_0_211]) ).
cnf(c_0_218,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_75 ).
cnf(c_0_219,negated_conjecture,
( apply(relation_dom_restriction(the_mapping(esk22_0,esk23_0),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0)
| empty(the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]),c_0_194])]) ).
cnf(c_0_220,negated_conjecture,
( partfun_dom_restriction(the_carrier(esk23_0),the_carrier(X1),the_mapping(X1,esk23_0),the_carrier(netstr_restr_to_element(X1,esk23_0,esk24_0))) = the_mapping(X1,netstr_restr_to_element(X1,esk23_0,esk24_0))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(esk23_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_168]),c_0_169]) ).
cnf(c_0_221,plain,
partfun_dom_restriction(the_carrier(esk23_0),the_carrier(esk22_0),the_mapping(esk22_0,esk23_0),X1) = relation_dom_restriction(the_mapping(esk22_0,esk23_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_193]),c_0_194])]) ).
cnf(c_0_222,negated_conjecture,
( apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),X1,the_mapping(X1,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply_netmap(X1,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ net_str(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_190]),c_0_211]) ).
cnf(c_0_223,negated_conjecture,
apply_on_structs(netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk22_0,the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0),
inference(spm,[status(thm)],[c_0_217,c_0_190]) ).
cnf(c_0_224,negated_conjecture,
apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk26_0) != apply_netmap(esk22_0,esk23_0,esk25_0),
i_0_122 ).
cnf(c_0_225,plain,
apply(relation_dom_restriction(the_mapping(esk22_0,esk23_0),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))),esk25_0) = apply_netmap(esk22_0,esk23_0,esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_210])]),c_0_211]) ).
cnf(c_0_226,negated_conjecture,
relation_dom_restriction(the_mapping(esk22_0,esk23_0),the_carrier(netstr_restr_to_element(esk22_0,esk23_0,esk24_0))) = the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_171]),c_0_221]),c_0_172])]),c_0_175]) ).
cnf(c_0_227,negated_conjecture,
apply(the_mapping(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0)),esk25_0) = apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_186]),c_0_223]),c_0_172])]),c_0_175]) ).
cnf(c_0_228,negated_conjecture,
apply_netmap(esk22_0,netstr_restr_to_element(esk22_0,esk23_0,esk24_0),esk25_0) != apply_netmap(esk22_0,esk23_0,esk25_0),
inference(rw,[status(thm)],[c_0_224,c_0_177]) ).
cnf(c_0_229,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_228]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sun Jun 19 15:58:57 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.38 # ENIGMATIC: Selected complete mode:
% 8.17/2.24 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.17/2.24 # No SInE strategy applied
% 8.17/2.24 # Trying AutoSched0 for 150 seconds
% 8.17/2.24 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.17/2.24 # and selection function SelectCQArNTNpEqFirst.
% 8.17/2.24 #
% 8.17/2.24 # Preprocessing time : 0.026 s
% 8.17/2.24 # Presaturation interreduction done
% 8.17/2.24
% 8.17/2.24 # Proof found!
% 8.17/2.24 # SZS status Theorem
% 8.17/2.24 # SZS output start CNFRefutation
% See solution above
% 8.17/2.24 # Training examples: 0 positive, 0 negative
% 8.17/2.24
% 8.17/2.24 # -------------------------------------------------
% 8.17/2.24 # User time : 0.075 s
% 8.17/2.24 # System time : 0.011 s
% 8.17/2.24 # Total time : 0.085 s
% 8.17/2.24 # Maximum resident set size: 7128 pages
% 8.17/2.24
%------------------------------------------------------------------------------