TSTP Solution File: SEU346+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU346+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 08:41:01 EDT 2022
% Result : Theorem 13.50s 3.18s
% Output : CNFRefutation 13.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of clauses : 107 ( 30 unt; 42 nHn; 107 RR)
% Number of literals : 306 ( 32 equ; 157 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 116 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_29,plain,
( empty_carrier(X1)
| relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_29) ).
cnf(i_0_180,negated_conjecture,
lattice(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_180) ).
cnf(i_0_179,negated_conjecture,
latt_str(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_179) ).
cnf(i_0_181,negated_conjecture,
~ empty_carrier(esk20_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_181) ).
cnf(i_0_157,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_157) ).
cnf(i_0_15,plain,
( rel_str_of(the_carrier(X1),k2_lattice3(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_15) ).
cnf(i_0_40,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_40) ).
cnf(i_0_36,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_36) ).
cnf(i_0_116,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_116) ).
cnf(i_0_1,plain,
( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_1) ).
cnf(i_0_16,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_16) ).
cnf(i_0_177,negated_conjecture,
element(esk22_0,the_carrier(esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_177) ).
cnf(i_0_155,plain,
( k2_lattice3(X1) = relation_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_155) ).
cnf(i_0_115,plain,
( X1 = X2
| rel_str_of(X3,X1) != rel_str_of(X4,X2)
| ~ relation_of2(X1,X3,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_115) ).
cnf(i_0_41,plain,
( empty_carrier(X1)
| element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_41) ).
cnf(i_0_39,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_39) ).
cnf(i_0_178,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_178) ).
cnf(i_0_168,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_168) ).
cnf(i_0_154,plain,
( ordered_pair_as_product_element(X1,X2,X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3))
| empty(X2)
| empty(X1)
| ~ element(X4,X2)
| ~ element(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_154) ).
cnf(i_0_161,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_161) ).
cnf(i_0_175,negated_conjecture,
( below_refl(esk20_0,esk21_0,esk22_0)
| related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,esk21_0),cast_to_el_of_LattPOSet(esk20_0,esk22_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_175) ).
cnf(i_0_19,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_19) ).
cnf(i_0_167,plain,
( empty_carrier(X1)
| in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_167) ).
cnf(i_0_72,plain,
( empty(X1)
| ~ relation_of2(X2,X1,X1)
| ~ empty_carrier(rel_str_of(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_72) ).
cnf(i_0_160,plain,
( empty_carrier(X1)
| related_reflexive(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_160) ).
cnf(i_0_47,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_47) ).
cnf(i_0_176,negated_conjecture,
( ~ below_refl(esk20_0,esk21_0,esk22_0)
| ~ related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,esk21_0),cast_to_el_of_LattPOSet(esk20_0,esk22_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_176) ).
cnf(i_0_18,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_18) ).
cnf(i_0_73,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_73) ).
cnf(i_0_51,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_51) ).
cnf(i_0_46,plain,
( one_sorted_str(X1)
| ~ meet_semilatt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xwqj4zgo/input.p',i_0_46) ).
cnf(c_0_213,plain,
( empty_carrier(X1)
| relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_29 ).
cnf(c_0_214,negated_conjecture,
lattice(esk20_0),
i_0_180 ).
cnf(c_0_215,negated_conjecture,
latt_str(esk20_0),
i_0_179 ).
cnf(c_0_216,negated_conjecture,
~ empty_carrier(esk20_0),
i_0_181 ).
cnf(c_0_217,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_157 ).
cnf(c_0_218,negated_conjecture,
relation_of2_as_subset(k2_lattice3(esk20_0),the_carrier(esk20_0),the_carrier(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_219,plain,
( rel_str_of(the_carrier(X1),k2_lattice3(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_15 ).
cnf(c_0_220,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_40 ).
cnf(c_0_221,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_36 ).
cnf(c_0_222,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
i_0_116 ).
cnf(c_0_223,plain,
relation_of2(k2_lattice3(esk20_0),the_carrier(esk20_0),the_carrier(esk20_0)),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_224,negated_conjecture,
rel_str_of(the_carrier(esk20_0),k2_lattice3(esk20_0)) = poset_of_lattice(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_225,plain,
( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
i_0_1 ).
cnf(c_0_226,negated_conjecture,
strict_rel_str(poset_of_lattice(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_227,negated_conjecture,
rel_str(poset_of_lattice(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_228,plain,
( the_carrier(esk20_0) = X1
| poset_of_lattice(esk20_0) != rel_str_of(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).
cnf(c_0_229,negated_conjecture,
rel_str_of(the_carrier(poset_of_lattice(esk20_0)),the_InternalRel(poset_of_lattice(esk20_0))) = poset_of_lattice(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).
cnf(c_0_230,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_16 ).
cnf(c_0_231,negated_conjecture,
element(esk22_0,the_carrier(esk20_0)),
i_0_177 ).
cnf(c_0_232,plain,
( k2_lattice3(X1) = relation_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_155 ).
cnf(c_0_233,plain,
( X1 = X2
| rel_str_of(X3,X1) != rel_str_of(X4,X2)
| ~ relation_of2(X1,X3,X3) ),
i_0_115 ).
cnf(c_0_234,negated_conjecture,
the_carrier(poset_of_lattice(esk20_0)) = the_carrier(esk20_0),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_235,plain,
( empty_carrier(X1)
| element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_41 ).
cnf(c_0_236,negated_conjecture,
cast_to_el_of_LattPOSet(esk20_0,esk22_0) = esk22_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_237,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_39 ).
cnf(c_0_238,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
i_0_178 ).
cnf(c_0_239,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1)) ),
i_0_168 ).
cnf(c_0_240,negated_conjecture,
relation_of_lattice(esk20_0) = k2_lattice3(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_241,plain,
( k2_lattice3(esk20_0) = X1
| poset_of_lattice(esk20_0) != rel_str_of(X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_223]),c_0_224]) ).
cnf(c_0_242,negated_conjecture,
rel_str_of(the_carrier(esk20_0),the_InternalRel(poset_of_lattice(esk20_0))) = poset_of_lattice(esk20_0),
inference(rw,[status(thm)],[c_0_229,c_0_234]) ).
cnf(c_0_243,plain,
( ordered_pair_as_product_element(X1,X2,X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3))
| empty(X2)
| empty(X1)
| ~ element(X4,X2)
| ~ element(X3,X1) ),
i_0_154 ).
cnf(c_0_244,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_161 ).
cnf(c_0_245,negated_conjecture,
element(esk22_0,the_carrier(poset_of_lattice(esk20_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_231]),c_0_236]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_246,negated_conjecture,
reflexive_relstr(poset_of_lattice(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_247,negated_conjecture,
( below_refl(esk20_0,esk21_0,esk22_0)
| related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,esk21_0),cast_to_el_of_LattPOSet(esk20_0,esk22_0)) ),
i_0_175 ).
cnf(c_0_248,negated_conjecture,
cast_to_el_of_LattPOSet(esk20_0,esk21_0) = esk21_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_238]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_249,negated_conjecture,
( below_refl(esk20_0,X1,X2)
| ~ in(ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),X1,X2),k2_lattice3(esk20_0))
| ~ element(X2,the_carrier(esk20_0))
| ~ element(X1,the_carrier(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_250,negated_conjecture,
k2_lattice3(esk20_0) = the_InternalRel(poset_of_lattice(esk20_0)),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_251,negated_conjecture,
( ordered_pair_as_product_element(X1,the_carrier(esk20_0),X2,esk22_0) = unordered_pair(unordered_pair(X2,esk22_0),singleton(X2))
| empty(the_carrier(esk20_0))
| empty(X1)
| ~ element(X2,X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_231]) ).
cnf(c_0_252,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_19 ).
cnf(c_0_253,plain,
( related(poset_of_lattice(esk20_0),X1,esk22_0)
| empty_carrier(poset_of_lattice(esk20_0))
| ~ related_reflexive(poset_of_lattice(esk20_0),X1,esk22_0)
| ~ element(X1,the_carrier(poset_of_lattice(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246]),c_0_227])]) ).
cnf(c_0_254,negated_conjecture,
( below_refl(esk20_0,esk21_0,esk22_0)
| related_reflexive(poset_of_lattice(esk20_0),esk21_0,esk22_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_236]) ).
cnf(c_0_255,negated_conjecture,
element(esk21_0,the_carrier(poset_of_lattice(esk20_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_238]),c_0_248]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_256,plain,
( empty_carrier(X1)
| in(ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3),relation_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_167 ).
cnf(c_0_257,negated_conjecture,
( below_refl(esk20_0,X1,X2)
| ~ in(ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),X1,X2),the_InternalRel(poset_of_lattice(esk20_0)))
| ~ element(X2,the_carrier(esk20_0))
| ~ element(X1,the_carrier(esk20_0)) ),
inference(rw,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_258,negated_conjecture,
( ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),esk21_0,esk22_0) = unordered_pair(unordered_pair(esk21_0,esk22_0),singleton(esk21_0))
| empty(the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_251,c_0_238]) ).
cnf(c_0_259,plain,
( in(unordered_pair(unordered_pair(X1,esk22_0),singleton(X1)),the_InternalRel(poset_of_lattice(esk20_0)))
| ~ related(poset_of_lattice(esk20_0),X1,esk22_0)
| ~ element(X1,the_carrier(poset_of_lattice(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_245]),c_0_227])]) ).
cnf(c_0_260,negated_conjecture,
( related(poset_of_lattice(esk20_0),esk21_0,esk22_0)
| below_refl(esk20_0,esk21_0,esk22_0)
| empty_carrier(poset_of_lattice(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255])]) ).
cnf(c_0_261,plain,
( empty(X1)
| ~ relation_of2(X2,X1,X1)
| ~ empty_carrier(rel_str_of(X1,X2)) ),
i_0_72 ).
cnf(c_0_262,negated_conjecture,
( in(ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),X1,esk22_0),k2_lattice3(esk20_0))
| ~ below_refl(esk20_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_231]),c_0_240]),c_0_214]),c_0_215])]),c_0_216]) ).
cnf(c_0_263,negated_conjecture,
( below_refl(esk20_0,esk21_0,esk22_0)
| empty(the_carrier(esk20_0))
| ~ in(unordered_pair(unordered_pair(esk21_0,esk22_0),singleton(esk21_0)),the_InternalRel(poset_of_lattice(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_231]),c_0_238])]) ).
cnf(c_0_264,plain,
( below_refl(esk20_0,esk21_0,esk22_0)
| in(unordered_pair(unordered_pair(esk21_0,esk22_0),singleton(esk21_0)),the_InternalRel(poset_of_lattice(esk20_0)))
| empty_carrier(poset_of_lattice(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_255])]) ).
cnf(c_0_265,negated_conjecture,
( empty(the_carrier(esk20_0))
| ~ empty_carrier(poset_of_lattice(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_224]),c_0_223])]) ).
cnf(c_0_266,negated_conjecture,
( in(ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),X1,esk22_0),the_InternalRel(poset_of_lattice(esk20_0)))
| ~ below_refl(esk20_0,X1,esk22_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(rw,[status(thm)],[c_0_262,c_0_250]) ).
cnf(c_0_267,plain,
( below_refl(esk20_0,esk21_0,esk22_0)
| empty(the_carrier(esk20_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]) ).
cnf(c_0_268,plain,
( empty_carrier(X1)
| related_reflexive(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_160 ).
cnf(c_0_269,negated_conjecture,
( in(ordered_pair_as_product_element(the_carrier(esk20_0),the_carrier(esk20_0),esk21_0,esk22_0),the_InternalRel(poset_of_lattice(esk20_0)))
| empty(the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_238])]) ).
cnf(c_0_270,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
i_0_47 ).
cnf(c_0_271,negated_conjecture,
( ~ below_refl(esk20_0,esk21_0,esk22_0)
| ~ related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,esk21_0),cast_to_el_of_LattPOSet(esk20_0,esk22_0)) ),
i_0_176 ).
cnf(c_0_272,plain,
( related_reflexive(poset_of_lattice(esk20_0),X1,esk22_0)
| empty_carrier(poset_of_lattice(esk20_0))
| ~ related(poset_of_lattice(esk20_0),X1,esk22_0)
| ~ element(X1,the_carrier(poset_of_lattice(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_245]),c_0_246]),c_0_227])]) ).
cnf(c_0_273,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1)) ),
i_0_18 ).
cnf(c_0_274,negated_conjecture,
( in(unordered_pair(unordered_pair(esk21_0,esk22_0),singleton(esk21_0)),the_InternalRel(poset_of_lattice(esk20_0)))
| empty(the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_269,c_0_258]) ).
cnf(c_0_275,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_73 ).
cnf(c_0_276,negated_conjecture,
one_sorted_str(poset_of_lattice(esk20_0)),
inference(spm,[status(thm)],[c_0_270,c_0_227]) ).
cnf(c_0_277,negated_conjecture,
( ~ below_refl(esk20_0,esk21_0,esk22_0)
| ~ related_reflexive(poset_of_lattice(esk20_0),esk21_0,esk22_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_236]),c_0_248]) ).
cnf(c_0_278,plain,
( related_reflexive(poset_of_lattice(esk20_0),X1,esk22_0)
| empty_carrier(poset_of_lattice(esk20_0))
| ~ related(poset_of_lattice(esk20_0),X1,esk22_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(rw,[status(thm)],[c_0_272,c_0_234]) ).
cnf(c_0_279,plain,
( related(poset_of_lattice(esk20_0),esk21_0,esk22_0)
| empty(the_carrier(esk20_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_273,c_0_274]),c_0_234]),c_0_231]),c_0_234]),c_0_238]),c_0_227])]) ).
cnf(c_0_280,plain,
( empty_carrier(poset_of_lattice(esk20_0))
| ~ empty(the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_234]),c_0_276])]) ).
cnf(c_0_281,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
i_0_51 ).
cnf(c_0_282,negated_conjecture,
( empty(the_carrier(esk20_0))
| ~ related_reflexive(poset_of_lattice(esk20_0),esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_277,c_0_267]) ).
cnf(c_0_283,plain,
( related_reflexive(poset_of_lattice(esk20_0),esk21_0,esk22_0)
| empty_carrier(poset_of_lattice(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_238])]),c_0_280]) ).
cnf(c_0_284,plain,
( one_sorted_str(X1)
| ~ meet_semilatt_str(X1) ),
i_0_46 ).
cnf(c_0_285,negated_conjecture,
meet_semilatt_str(esk20_0),
inference(spm,[status(thm)],[c_0_281,c_0_215]) ).
cnf(c_0_286,plain,
empty(the_carrier(esk20_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_265]) ).
cnf(c_0_287,negated_conjecture,
one_sorted_str(esk20_0),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_288,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_286]),c_0_287])]),c_0_216]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU346+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:10:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 13.50/3.18 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.50/3.18 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.50/3.18 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 54; version: 991; iters: 150)
% 13.50/3.18 # Preprocessing time : 0.723 s
% 13.50/3.18
% 13.50/3.18 # Proof found!
% 13.50/3.18 # SZS status Theorem
% 13.50/3.18 # SZS output start CNFRefutation
% See solution above
% 13.50/3.18 # Training examples: 0 positive, 0 negative
% 13.50/3.18
% 13.50/3.18 # -------------------------------------------------
% 13.50/3.18 # User time : 0.703 s
% 13.50/3.18 # System time : 0.110 s
% 13.50/3.18 # Total time : 0.813 s
% 13.50/3.18 # ...preprocessing : 0.723 s
% 13.50/3.18 # ...main loop : 0.089 s
% 13.50/3.18 # Maximum resident set size: 152796 pages
% 13.50/3.18
%------------------------------------------------------------------------------