TSTP Solution File: SEU349+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU349+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 08:41:03 EDT 2022
% Result : Theorem 13.49s 3.01s
% Output : CNFRefutation 13.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 38
% Syntax : Number of clauses : 127 ( 23 unt; 59 nHn; 113 RR)
% Number of literals : 430 ( 20 equ; 246 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 182 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_28) ).
cnf(i_0_117,negated_conjecture,
lattice(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_117) ).
cnf(i_0_116,negated_conjecture,
latt_str(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_116) ).
cnf(i_0_118,negated_conjecture,
~ empty_carrier(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_118) ).
cnf(i_0_103,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_103) ).
cnf(i_0_17,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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_17) ).
cnf(i_0_82,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_82) ).
cnf(i_0_38,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_38) ).
cnf(i_0_34,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_34) ).
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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_1) ).
cnf(i_0_18,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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_18) ).
cnf(i_0_115,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_115) ).
cnf(i_0_42,plain,
( one_sorted_str(X1)
| ~ meet_semilatt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_42) ).
cnf(i_0_47,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_47) ).
cnf(i_0_23,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ in(X2,X4)
| ~ relstr_set_smaller(X1,X4,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_23) ).
cnf(i_0_113,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,cast_to_el_of_LattPOSet(esk20_0,esk21_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_113) ).
cnf(i_0_40,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_40) ).
cnf(i_0_63,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_63) ).
cnf(i_0_62,plain,
( empty(X1)
| ~ relation_of2(X2,X1,X1)
| ~ empty_carrier(rel_str_of(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_62) ).
cnf(i_0_15,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| element(esk1_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_15) ).
cnf(i_0_19,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_19) ).
cnf(i_0_37,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_37) ).
cnf(i_0_14,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk1_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_14) ).
cnf(i_0_3,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_3) ).
cnf(i_0_4,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_4) ).
cnf(i_0_6,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_6) ).
cnf(i_0_125,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_125) ).
cnf(i_0_106,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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_106) ).
cnf(i_0_105,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_105) ).
cnf(i_0_13,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,esk1_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_13) ).
cnf(i_0_107,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/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_107) ).
cnf(i_0_22,plain,
( relstr_set_smaller(X1,X2,X3)
| element(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_22) ).
cnf(i_0_126,plain,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_126) ).
cnf(i_0_16,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X2,X4)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_16) ).
cnf(i_0_20,plain,
( relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk2_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_20) ).
cnf(i_0_104,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_104) ).
cnf(i_0_21,plain,
( relstr_set_smaller(X1,X2,X3)
| in(esk2_3(X1,X2,X3),X2)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_21) ).
cnf(i_0_114,negated_conjecture,
( ~ latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,cast_to_el_of_LattPOSet(esk20_0,esk21_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5l6dqcnf/input.p',i_0_114) ).
cnf(c_0_165,plain,
( empty_carrier(X1)
| relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_28 ).
cnf(c_0_166,negated_conjecture,
lattice(esk20_0),
i_0_117 ).
cnf(c_0_167,negated_conjecture,
latt_str(esk20_0),
i_0_116 ).
cnf(c_0_168,negated_conjecture,
~ empty_carrier(esk20_0),
i_0_118 ).
cnf(c_0_169,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_103 ).
cnf(c_0_170,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_165,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_171,plain,
( rel_str_of(the_carrier(X1),k2_lattice3(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_17 ).
cnf(c_0_172,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
i_0_82 ).
cnf(c_0_173,plain,
relation_of2(k2_lattice3(esk20_0),the_carrier(esk20_0),the_carrier(esk20_0)),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_174,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_171,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_175,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_38 ).
cnf(c_0_176,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_34 ).
cnf(c_0_177,plain,
( the_carrier(esk20_0) = X1
| rel_str_of(X1,X2) != poset_of_lattice(esk20_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_178,plain,
( rel_str_of(the_carrier(X1),the_InternalRel(X1)) = X1
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
i_0_1 ).
cnf(c_0_179,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_175,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_180,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_176,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_181,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_18 ).
cnf(c_0_182,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
i_0_115 ).
cnf(c_0_183,plain,
( one_sorted_str(X1)
| ~ meet_semilatt_str(X1) ),
i_0_42 ).
cnf(c_0_184,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
i_0_47 ).
cnf(c_0_185,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ in(X2,X4)
| ~ relstr_set_smaller(X1,X4,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_23 ).
cnf(c_0_186,plain,
the_carrier(poset_of_lattice(esk20_0)) = the_carrier(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178])]),c_0_179]),c_0_180])]) ).
cnf(c_0_187,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,cast_to_el_of_LattPOSet(esk20_0,esk21_0)) ),
i_0_113 ).
cnf(c_0_188,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_181,c_0_182]),c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_189,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_40 ).
cnf(c_0_190,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_63 ).
cnf(c_0_191,plain,
( one_sorted_str(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_192,plain,
( empty(X1)
| ~ relation_of2(X2,X1,X1)
| ~ empty_carrier(rel_str_of(X1,X2)) ),
i_0_62 ).
cnf(c_0_193,plain,
( related(poset_of_lattice(esk20_0),X1,X2)
| ~ relstr_set_smaller(poset_of_lattice(esk20_0),X3,X2)
| ~ in(X1,X3)
| ~ element(X2,the_carrier(esk20_0))
| ~ element(X1,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_180])]) ).
cnf(c_0_194,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(rw,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_195,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| element(esk1_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_15 ).
cnf(c_0_196,plain,
( element(cast_to_el_of_lattice(esk20_0,X1),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_189,c_0_186]),c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_197,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_19 ).
cnf(c_0_198,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_37 ).
cnf(c_0_199,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_200,plain,
( empty(the_carrier(esk20_0))
| ~ empty_carrier(poset_of_lattice(esk20_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_173]),c_0_174]) ).
cnf(c_0_201,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ in(X1,esk19_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_182])]) ).
cnf(c_0_202,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,X1)
| element(esk1_3(esk20_0,esk21_0,X1),the_carrier(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_182]),c_0_167])]),c_0_168]) ).
cnf(c_0_203,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk1_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_14 ).
cnf(c_0_204,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_3 ).
cnf(c_0_205,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_4 ).
cnf(c_0_206,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_6 ).
cnf(c_0_207,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
i_0_125 ).
cnf(c_0_208,plain,
( cast_to_el_of_LattPOSet(esk20_0,cast_to_el_of_lattice(esk20_0,X1)) = cast_to_el_of_lattice(esk20_0,X1)
| ~ 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_181,c_0_196]),c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_209,plain,
( cast_to_el_of_lattice(esk20_0,X1) = X1
| ~ 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_197,c_0_186]),c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_210,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_106 ).
cnf(c_0_211,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_198,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_212,plain,
~ empty_carrier(poset_of_lattice(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_167])]),c_0_168]) ).
cnf(c_0_213,negated_conjecture,
( related(poset_of_lattice(esk20_0),esk1_3(esk20_0,esk21_0,X1),esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0)
| latt_element_smaller(esk20_0,esk21_0,X1)
| ~ in(esk1_3(esk20_0,esk21_0,X1),esk19_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_214,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,X1)
| in(esk1_3(esk20_0,esk21_0,X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_182]),c_0_167])]),c_0_168]) ).
cnf(c_0_215,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_105 ).
cnf(c_0_216,negated_conjecture,
join_absorbing(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_217,negated_conjecture,
meet_absorbing(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_218,negated_conjecture,
meet_commutative(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_219,plain,
( below_refl(esk20_0,X1,esk21_0)
| ~ related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,X1),esk21_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_207,c_0_188]),c_0_182]),c_0_166]),c_0_167])]),c_0_168]) ).
cnf(c_0_220,plain,
( cast_to_el_of_LattPOSet(esk20_0,X1) = X1
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_221,plain,
( related_reflexive(poset_of_lattice(esk20_0),X1,X2)
| ~ related(poset_of_lattice(esk20_0),X1,X2)
| ~ 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_210,c_0_186]),c_0_211]),c_0_180])]),c_0_212]) ).
cnf(c_0_222,negated_conjecture,
( related(poset_of_lattice(esk20_0),esk1_3(esk20_0,esk21_0,esk19_0),esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_223,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,esk1_3(X1,X2,X3),X2) ),
i_0_13 ).
cnf(c_0_224,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ below_refl(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_182]),c_0_167])]),c_0_168]),c_0_216]),c_0_217]),c_0_218])]) ).
cnf(c_0_225,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_107 ).
cnf(c_0_226,plain,
( relstr_set_smaller(X1,X2,X3)
| element(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1)) ),
i_0_22 ).
cnf(c_0_227,plain,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_126 ).
cnf(c_0_228,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X2,X4)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_16 ).
cnf(c_0_229,plain,
( below_refl(esk20_0,X1,esk21_0)
| ~ related_reflexive(poset_of_lattice(esk20_0),X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_230,plain,
( related_reflexive(poset_of_lattice(esk20_0),esk1_3(esk20_0,esk21_0,esk19_0),esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_182])]),c_0_202]) ).
cnf(c_0_231,plain,
( latt_element_smaller(esk20_0,esk21_0,X1)
| ~ below_refl(esk20_0,esk1_3(esk20_0,esk21_0,X1),esk21_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_182]),c_0_167])]),c_0_168]),c_0_202]) ).
cnf(c_0_232,plain,
( relstr_set_smaller(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk2_3(X1,X2,X3),X3) ),
i_0_20 ).
cnf(c_0_233,plain,
( related(poset_of_lattice(esk20_0),X1,X2)
| ~ related_reflexive(poset_of_lattice(esk20_0),X1,X2)
| ~ 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_225,c_0_186]),c_0_211]),c_0_180])]),c_0_212]) ).
cnf(c_0_234,plain,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,X2)
| element(esk2_3(poset_of_lattice(esk20_0),X1,X2),the_carrier(esk20_0))
| ~ element(X2,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_186]),c_0_180])]) ).
cnf(c_0_235,negated_conjecture,
( related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,X1),esk21_0)
| ~ below_refl(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_182]),c_0_166]),c_0_167])]),c_0_168]),c_0_188]) ).
cnf(c_0_236,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_104 ).
cnf(c_0_237,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ latt_element_smaller(esk20_0,esk21_0,X2)
| ~ in(X1,X2)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_182]),c_0_167])]),c_0_168]) ).
cnf(c_0_238,plain,
latt_element_smaller(esk20_0,esk21_0,esk19_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_202]),c_0_231]) ).
cnf(c_0_239,plain,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,X2)
| ~ related_reflexive(poset_of_lattice(esk20_0),esk2_3(poset_of_lattice(esk20_0),X1,X2),X2)
| ~ element(X2,the_carrier(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_186]),c_0_180])]),c_0_234]) ).
cnf(c_0_240,plain,
( related_reflexive(poset_of_lattice(esk20_0),X1,esk21_0)
| ~ below_refl(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_235,c_0_220]) ).
cnf(c_0_241,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,esk21_0)
| element(esk2_3(poset_of_lattice(esk20_0),X1,esk21_0),the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_234,c_0_182]) ).
cnf(c_0_242,negated_conjecture,
( below_refl(esk20_0,X1,esk21_0)
| ~ below(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_182]),c_0_167])]),c_0_168]),c_0_216]),c_0_217]),c_0_218])]) ).
cnf(c_0_243,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ in(X1,esk19_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_244,plain,
( relstr_set_smaller(X1,X2,X3)
| in(esk2_3(X1,X2,X3),X2)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1)) ),
i_0_21 ).
cnf(c_0_245,negated_conjecture,
( ~ latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,cast_to_el_of_LattPOSet(esk20_0,esk21_0)) ),
i_0_114 ).
cnf(c_0_246,plain,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,esk21_0)
| ~ below_refl(esk20_0,esk2_3(poset_of_lattice(esk20_0),X1,esk21_0),esk21_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_182])]),c_0_241]) ).
cnf(c_0_247,negated_conjecture,
( below_refl(esk20_0,X1,esk21_0)
| ~ in(X1,esk19_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_248,plain,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,X2)
| in(esk2_3(poset_of_lattice(esk20_0),X1,X2),X1)
| ~ element(X2,the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_186]),c_0_180])]) ).
cnf(c_0_249,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| ~ latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(rw,[status(thm)],[c_0_245,c_0_188]) ).
cnf(c_0_250,plain,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,esk21_0)
| ~ in(esk2_3(poset_of_lattice(esk20_0),X1,esk21_0),esk19_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_241]) ).
cnf(c_0_251,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk20_0),X1,esk21_0)
| in(esk2_3(poset_of_lattice(esk20_0),X1,esk21_0),X1) ),
inference(spm,[status(thm)],[c_0_248,c_0_182]) ).
cnf(c_0_252,negated_conjecture,
~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_238])]) ).
cnf(c_0_253,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 08:40:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 13.49/3.01 # ENIGMATIC: Solved by autoschedule:
% 13.49/3.01 # No SInE strategy applied
% 13.49/3.01 # Trying AutoSched0 for 150 seconds
% 13.49/3.01 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 13.49/3.01 # and selection function SelectComplexExceptUniqMaxHorn.
% 13.49/3.01 #
% 13.49/3.01 # Preprocessing time : 0.026 s
% 13.49/3.01 # Presaturation interreduction done
% 13.49/3.01
% 13.49/3.01 # Proof found!
% 13.49/3.01 # SZS status Theorem
% 13.49/3.01 # SZS output start CNFRefutation
% See solution above
% 13.49/3.01 # Training examples: 0 positive, 0 negative
% 13.49/3.01
% 13.49/3.01 # -------------------------------------------------
% 13.49/3.01 # User time : 0.748 s
% 13.49/3.01 # System time : 0.025 s
% 13.49/3.01 # Total time : 0.773 s
% 13.49/3.01 # Maximum resident set size: 7120 pages
% 13.49/3.01
%------------------------------------------------------------------------------