TSTP Solution File: SEU349+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU349+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:06 EDT 2023
% Result : Theorem 8.21s 1.58s
% Output : CNFRefutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 165 ( 28 unt; 0 def)
% Number of atoms : 750 ( 40 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 923 ( 338 ~; 376 |; 140 &)
% ( 12 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 237 ( 4 sgn; 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( reflexive(k2_lattice3(X1))
& antisymmetric(k2_lattice3(X1))
& transitive(k2_lattice3(X1))
& v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
& relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',dt_k2_lattice3) ).
fof(t30_lattice3,conjecture,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_element_smaller(X2,X3,X1)
<=> relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',t30_lattice3) ).
fof(d2_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> poset_of_lattice(X1) = rel_str_of(the_carrier(X1),k2_lattice3(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',d2_lattice3) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',redefinition_m2_relset_1) ).
fof(dt_k3_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( strict_rel_str(poset_of_lattice(X1))
& reflexive_relstr(poset_of_lattice(X1))
& transitive_relstr(poset_of_lattice(X1))
& antisymmetric_relstr(poset_of_lattice(X1))
& rel_str(poset_of_lattice(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',dt_k3_lattice3) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( relation_of2(X2,X1,X1)
=> ! [X3,X4] :
( rel_str_of(X1,X2) = rel_str_of(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',free_g1_orders_2) ).
fof(d3_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',d3_lattice3) ).
fof(abstractness_v1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> ( strict_rel_str(X1)
=> X1 = rel_str_of(the_carrier(X1),the_InternalRel(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',abstractness_v1_orders_2) ).
fof(d9_lattice3,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X2)
=> related(X1,X4,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',d9_lattice3) ).
fof(d17_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( latt_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
=> below(X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',d17_lattice3) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',dt_l1_orders_2) ).
fof(cc1_lattices,axiom,
! [X1] :
( latt_str(X1)
=> ( ( ~ empty_carrier(X1)
& lattice(X1) )
=> ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_associative(X1)
& meet_commutative(X1)
& meet_associative(X1)
& meet_absorbing(X1)
& join_absorbing(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',cc1_lattices) ).
fof(fc4_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( ~ empty_carrier(poset_of_lattice(X1))
& strict_rel_str(poset_of_lattice(X1))
& reflexive_relstr(poset_of_lattice(X1))
& transitive_relstr(poset_of_lattice(X1))
& antisymmetric_relstr(poset_of_lattice(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',fc4_lattice3) ).
fof(redefinition_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& join_absorbing(X1)
& latt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( below_refl(X1,X2,X3)
<=> below(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',redefinition_r3_lattices) ).
fof(fc1_orders_2,axiom,
! [X1,X2] :
( ( ~ empty(X1)
& relation_of2(X2,X1,X1) )
=> ( ~ empty_carrier(rel_str_of(X1,X2))
& strict_rel_str(rel_str_of(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',fc1_orders_2) ).
fof(t7_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below_refl(X1,X2,X3)
<=> 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/tmp.O1brDQTdtB/E---3.1_29171.p',t7_lattice3) ).
fof(redefinition_r3_orders_2,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( related_reflexive(X1,X2,X3)
<=> related(X1,X2,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',redefinition_r3_orders_2) ).
fof(dt_k5_lattice3,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',dt_k5_lattice3) ).
fof(d4_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p',d4_lattice3) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( reflexive(k2_lattice3(X1))
& antisymmetric(k2_lattice3(X1))
& transitive(k2_lattice3(X1))
& v1_partfun1(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
& relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_lattice3]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_element_smaller(X2,X3,X1)
<=> relstr_set_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t30_lattice3])]) ).
fof(c_0_22,plain,
! [X31] :
( ( reflexive(k2_lattice3(X31))
| empty_carrier(X31)
| ~ lattice(X31)
| ~ latt_str(X31) )
& ( antisymmetric(k2_lattice3(X31))
| empty_carrier(X31)
| ~ lattice(X31)
| ~ latt_str(X31) )
& ( transitive(k2_lattice3(X31))
| empty_carrier(X31)
| ~ lattice(X31)
| ~ latt_str(X31) )
& ( v1_partfun1(k2_lattice3(X31),the_carrier(X31),the_carrier(X31))
| empty_carrier(X31)
| ~ lattice(X31)
| ~ latt_str(X31) )
& ( relation_of2_as_subset(k2_lattice3(X31),the_carrier(X31),the_carrier(X31))
| empty_carrier(X31)
| ~ lattice(X31)
| ~ latt_str(X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_23,negated_conjecture,
( ~ empty_carrier(esk20_0)
& lattice(esk20_0)
& latt_str(esk20_0)
& element(esk21_0,the_carrier(esk20_0))
& ( ~ 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)) )
& ( 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)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> poset_of_lattice(X1) = rel_str_of(the_carrier(X1),k2_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[d2_lattice3]) ).
fof(c_0_25,plain,
! [X85,X86,X87] :
( ( ~ relation_of2_as_subset(X87,X85,X86)
| relation_of2(X87,X85,X86) )
& ( ~ relation_of2(X87,X85,X86)
| relation_of2_as_subset(X87,X85,X86) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_26,plain,
( relation_of2_as_subset(k2_lattice3(X1),the_carrier(X1),the_carrier(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
lattice(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
latt_str(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ empty_carrier(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X19] :
( empty_carrier(X19)
| ~ lattice(X19)
| ~ latt_str(X19)
| poset_of_lattice(X19) = rel_str_of(the_carrier(X19),k2_lattice3(X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( strict_rel_str(poset_of_lattice(X1))
& reflexive_relstr(poset_of_lattice(X1))
& transitive_relstr(poset_of_lattice(X1))
& antisymmetric_relstr(poset_of_lattice(X1))
& rel_str(poset_of_lattice(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_lattice3]) ).
fof(c_0_32,plain,
! [X69,X70,X71,X72] :
( ( X69 = X71
| rel_str_of(X69,X70) != rel_str_of(X71,X72)
| ~ relation_of2(X70,X69,X69) )
& ( X70 = X72
| rel_str_of(X69,X70) != rel_str_of(X71,X72)
| ~ relation_of2(X70,X69,X69) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).
cnf(c_0_33,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,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_26,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_35,plain,
( empty_carrier(X1)
| poset_of_lattice(X1) = rel_str_of(the_carrier(X1),k2_lattice3(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X32] :
( ( strict_rel_str(poset_of_lattice(X32))
| empty_carrier(X32)
| ~ lattice(X32)
| ~ latt_str(X32) )
& ( reflexive_relstr(poset_of_lattice(X32))
| empty_carrier(X32)
| ~ lattice(X32)
| ~ latt_str(X32) )
& ( transitive_relstr(poset_of_lattice(X32))
| empty_carrier(X32)
| ~ lattice(X32)
| ~ latt_str(X32) )
& ( antisymmetric_relstr(poset_of_lattice(X32))
| empty_carrier(X32)
| ~ lattice(X32)
| ~ latt_str(X32) )
& ( rel_str(poset_of_lattice(X32))
| empty_carrier(X32)
| ~ lattice(X32)
| ~ latt_str(X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_37,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d3_lattice3]) ).
cnf(c_0_38,plain,
( X1 = X2
| rel_str_of(X1,X3) != rel_str_of(X2,X4)
| ~ relation_of2(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
relation_of2(k2_lattice3(esk20_0),the_carrier(esk20_0),the_carrier(esk20_0)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,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_35,c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_41,plain,
! [X5] :
( ~ rel_str(X5)
| ~ strict_rel_str(X5)
| X5 = rel_str_of(the_carrier(X5),the_InternalRel(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2])]) ).
cnf(c_0_42,plain,
( strict_rel_str(poset_of_lattice(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( rel_str(poset_of_lattice(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X20,X21] :
( empty_carrier(X20)
| ~ lattice(X20)
| ~ latt_str(X20)
| ~ element(X21,the_carrier(X20))
| cast_to_el_of_LattPOSet(X20,X21) = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_45,plain,
! [X24,X25,X26,X27] :
( ( ~ relstr_set_smaller(X24,X25,X26)
| ~ element(X27,the_carrier(X24))
| ~ in(X27,X25)
| related(X24,X27,X26)
| ~ element(X26,the_carrier(X24))
| ~ rel_str(X24) )
& ( element(esk2_3(X24,X25,X26),the_carrier(X24))
| relstr_set_smaller(X24,X25,X26)
| ~ element(X26,the_carrier(X24))
| ~ rel_str(X24) )
& ( in(esk2_3(X24,X25,X26),X25)
| relstr_set_smaller(X24,X25,X26)
| ~ element(X26,the_carrier(X24))
| ~ rel_str(X24) )
& ( ~ related(X24,esk2_3(X24,X25,X26),X26)
| relstr_set_smaller(X24,X25,X26)
| ~ element(X26,the_carrier(X24))
| ~ rel_str(X24) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])]) ).
cnf(c_0_46,negated_conjecture,
( 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_38,c_0_39]),c_0_40]) ).
cnf(c_0_47,plain,
( X1 = rel_str_of(the_carrier(X1),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ strict_rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,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_42,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_49,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_43,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_50,plain,
( empty_carrier(X1)
| cast_to_el_of_LattPOSet(X1,X2) = X2
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_52,plain,
( element(esk2_3(X1,X2,X3),the_carrier(X1))
| relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
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_46,c_0_47])]),c_0_48]),c_0_49])]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( latt_element_smaller(X1,X2,X3)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
=> below(X1,X4,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d17_lattice3]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_56,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)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_57,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_50,c_0_51]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_58,negated_conjecture,
( 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_52,c_0_53]),c_0_49])]) ).
fof(c_0_59,plain,
! [X13,X14,X15,X16,X17] :
( ( ~ latt_element_smaller(X13,X14,X15)
| ~ element(X16,the_carrier(X13))
| ~ in(X16,X15)
| below(X13,X16,X14)
| ~ element(X14,the_carrier(X13))
| empty_carrier(X13)
| ~ latt_str(X13) )
& ( element(esk1_3(X13,X14,X17),the_carrier(X13))
| latt_element_smaller(X13,X14,X17)
| ~ element(X14,the_carrier(X13))
| empty_carrier(X13)
| ~ latt_str(X13) )
& ( in(esk1_3(X13,X14,X17),X17)
| latt_element_smaller(X13,X14,X17)
| ~ element(X14,the_carrier(X13))
| empty_carrier(X13)
| ~ latt_str(X13) )
& ( ~ below(X13,esk1_3(X13,X14,X17),X14)
| latt_element_smaller(X13,X14,X17)
| ~ element(X14,the_carrier(X13))
| empty_carrier(X13)
| ~ latt_str(X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])])]) ).
cnf(c_0_60,plain,
( in(esk2_3(X1,X2,X3),X2)
| relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_61,plain,
! [X61] :
( empty_carrier(X61)
| ~ one_sorted_str(X61)
| ~ empty(the_carrier(X61)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
fof(c_0_62,plain,
! [X39] :
( ~ rel_str(X39)
| one_sorted_str(X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_63,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_56,c_0_57]) ).
cnf(c_0_64,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_58,c_0_51]) ).
cnf(c_0_65,plain,
( element(esk1_3(X1,X2,X3),the_carrier(X1))
| latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
( 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_60,c_0_53]),c_0_49])]) ).
cnf(c_0_67,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_69,plain,
! [X1] :
( latt_str(X1)
=> ( ( ~ empty_carrier(X1)
& lattice(X1) )
=> ( ~ empty_carrier(X1)
& join_commutative(X1)
& join_associative(X1)
& meet_commutative(X1)
& meet_associative(X1)
& meet_absorbing(X1)
& join_absorbing(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
cnf(c_0_70,negated_conjecture,
( element(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),the_carrier(esk20_0))
| ~ latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,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_65,c_0_51]),c_0_28])]),c_0_29]) ).
cnf(c_0_72,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_66,c_0_51]) ).
cnf(c_0_73,plain,
( X1 = X2
| rel_str_of(X3,X1) != rel_str_of(X4,X2)
| ~ relation_of2(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_74,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ( ~ empty_carrier(poset_of_lattice(X1))
& strict_rel_str(poset_of_lattice(X1))
& reflexive_relstr(poset_of_lattice(X1))
& transitive_relstr(poset_of_lattice(X1))
& antisymmetric_relstr(poset_of_lattice(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lattice3]) ).
cnf(c_0_75,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_76,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& join_absorbing(X1)
& latt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( below_refl(X1,X2,X3)
<=> below(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_r3_lattices]) ).
fof(c_0_77,plain,
! [X8] :
( ( ~ empty_carrier(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( join_commutative(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( join_associative(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( meet_commutative(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( meet_associative(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( meet_absorbing(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) )
& ( join_absorbing(X8)
| empty_carrier(X8)
| ~ lattice(X8)
| ~ latt_str(X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])]) ).
cnf(c_0_78,plain,
( below(X1,X4,X2)
| empty_carrier(X1)
| ~ latt_element_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ in(X4,X3)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_79,negated_conjecture,
( element(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),the_carrier(esk20_0))
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
( in(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk19_0)
| ~ latt_element_smaller(esk20_0,esk21_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
fof(c_0_81,plain,
! [X1,X2] :
( ( ~ empty(X1)
& relation_of2(X2,X1,X1) )
=> ( ~ empty_carrier(rel_str_of(X1,X2))
& strict_rel_str(rel_str_of(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc1_orders_2]) ).
cnf(c_0_82,negated_conjecture,
( k2_lattice3(esk20_0) = X1
| rel_str_of(X2,X1) != poset_of_lattice(esk20_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_39]),c_0_40]) ).
fof(c_0_83,plain,
! [X66] :
( ( ~ empty_carrier(poset_of_lattice(X66))
| empty_carrier(X66)
| ~ lattice(X66)
| ~ latt_str(X66) )
& ( strict_rel_str(poset_of_lattice(X66))
| empty_carrier(X66)
| ~ lattice(X66)
| ~ latt_str(X66) )
& ( reflexive_relstr(poset_of_lattice(X66))
| empty_carrier(X66)
| ~ lattice(X66)
| ~ latt_str(X66) )
& ( transitive_relstr(poset_of_lattice(X66))
| empty_carrier(X66)
| ~ lattice(X66)
| ~ latt_str(X66) )
& ( antisymmetric_relstr(poset_of_lattice(X66))
| empty_carrier(X66)
| ~ lattice(X66)
| ~ latt_str(X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
cnf(c_0_84,negated_conjecture,
( empty_carrier(poset_of_lattice(esk20_0))
| ~ empty(the_carrier(poset_of_lattice(esk20_0))) ),
inference(spm,[status(thm)],[c_0_75,c_0_49]) ).
fof(c_0_85,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below_refl(X1,X2,X3)
<=> related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t7_lattice3]) ).
fof(c_0_86,plain,
! [X88,X89,X90] :
( ( ~ below_refl(X88,X89,X90)
| below(X88,X89,X90)
| empty_carrier(X88)
| ~ meet_commutative(X88)
| ~ meet_absorbing(X88)
| ~ join_absorbing(X88)
| ~ latt_str(X88)
| ~ element(X89,the_carrier(X88))
| ~ element(X90,the_carrier(X88)) )
& ( ~ below(X88,X89,X90)
| below_refl(X88,X89,X90)
| empty_carrier(X88)
| ~ meet_commutative(X88)
| ~ meet_absorbing(X88)
| ~ join_absorbing(X88)
| ~ latt_str(X88)
| ~ element(X89,the_carrier(X88))
| ~ element(X90,the_carrier(X88)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_87,plain,
( join_absorbing(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_88,plain,
( meet_absorbing(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( meet_commutative(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,negated_conjecture,
( below(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),X1)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0))
| ~ latt_element_smaller(esk20_0,X1,X2)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_28])]),c_0_29]) ).
cnf(c_0_91,negated_conjecture,
( element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0))
| in(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk19_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_71]) ).
fof(c_0_92,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& reflexive_relstr(X1)
& rel_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> ( related_reflexive(X1,X2,X3)
<=> related(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2]) ).
fof(c_0_93,plain,
! [X59,X60] :
( ( ~ empty_carrier(rel_str_of(X59,X60))
| empty(X59)
| ~ relation_of2(X60,X59,X59) )
& ( strict_rel_str(rel_str_of(X59,X60))
| empty(X59)
| ~ relation_of2(X60,X59,X59) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
cnf(c_0_94,negated_conjecture,
k2_lattice3(esk20_0) = the_InternalRel(poset_of_lattice(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_47])]),c_0_48]),c_0_49])]) ).
cnf(c_0_95,plain,
( empty_carrier(X1)
| ~ empty_carrier(poset_of_lattice(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( empty_carrier(poset_of_lattice(esk20_0))
| ~ empty(the_carrier(esk20_0)) ),
inference(rw,[status(thm)],[c_0_84,c_0_53]) ).
fof(c_0_97,plain,
! [X119,X120,X121] :
( ( ~ below_refl(X119,X120,X121)
| related_reflexive(poset_of_lattice(X119),cast_to_el_of_LattPOSet(X119,X120),cast_to_el_of_LattPOSet(X119,X121))
| ~ element(X121,the_carrier(X119))
| ~ element(X120,the_carrier(X119))
| empty_carrier(X119)
| ~ lattice(X119)
| ~ latt_str(X119) )
& ( ~ related_reflexive(poset_of_lattice(X119),cast_to_el_of_LattPOSet(X119,X120),cast_to_el_of_LattPOSet(X119,X121))
| below_refl(X119,X120,X121)
| ~ element(X121,the_carrier(X119))
| ~ element(X120,the_carrier(X119))
| empty_carrier(X119)
| ~ lattice(X119)
| ~ latt_str(X119) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])]) ).
cnf(c_0_98,plain,
( below_refl(X1,X2,X3)
| empty_carrier(X1)
| ~ below(X1,X2,X3)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_99,negated_conjecture,
join_absorbing(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_100,negated_conjecture,
meet_absorbing(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_101,negated_conjecture,
meet_commutative(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_102,negated_conjecture,
( below(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),X1)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0))
| ~ latt_element_smaller(esk20_0,X1,esk19_0)
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_103,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattice3]) ).
fof(c_0_104,plain,
! [X91,X92,X93] :
( ( ~ related_reflexive(X91,X92,X93)
| related(X91,X92,X93)
| empty_carrier(X91)
| ~ reflexive_relstr(X91)
| ~ rel_str(X91)
| ~ element(X92,the_carrier(X91))
| ~ element(X93,the_carrier(X91)) )
& ( ~ related(X91,X92,X93)
| related_reflexive(X91,X92,X93)
| empty_carrier(X91)
| ~ reflexive_relstr(X91)
| ~ rel_str(X91)
| ~ element(X92,the_carrier(X91))
| ~ element(X93,the_carrier(X91)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])]) ).
cnf(c_0_105,plain,
( reflexive_relstr(poset_of_lattice(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_106,plain,
( empty(X1)
| ~ empty_carrier(rel_str_of(X1,X2))
| ~ relation_of2(X2,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_107,negated_conjecture,
relation_of2(the_InternalRel(poset_of_lattice(esk20_0)),the_carrier(esk20_0),the_carrier(esk20_0)),
inference(rw,[status(thm)],[c_0_39,c_0_94]) ).
cnf(c_0_108,negated_conjecture,
rel_str_of(the_carrier(esk20_0),the_InternalRel(poset_of_lattice(esk20_0))) = poset_of_lattice(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_53]),c_0_48]),c_0_49])]) ).
cnf(c_0_109,negated_conjecture,
~ empty(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_95,c_0_96]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_110,plain,
( related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_111,negated_conjecture,
( below_refl(esk20_0,X1,esk21_0)
| ~ below(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_51]),c_0_99]),c_0_100]),c_0_101]),c_0_28])]),c_0_29]) ).
cnf(c_0_112,negated_conjecture,
( below(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_71]),c_0_51])]) ).
fof(c_0_113,plain,
! [X35,X36] :
( empty_carrier(X35)
| ~ lattice(X35)
| ~ latt_str(X35)
| ~ element(X36,the_carrier(poset_of_lattice(X35)))
| element(cast_to_el_of_lattice(X35,X36),the_carrier(X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])]) ).
fof(c_0_114,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_lattice3]) ).
cnf(c_0_115,plain,
( related(X1,X2,X3)
| empty_carrier(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_116,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_105,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_117,negated_conjecture,
~ empty_carrier(poset_of_lattice(esk20_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]) ).
cnf(c_0_118,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(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_110,c_0_51]),c_0_57]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_119,negated_conjecture,
( below_refl(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_79]) ).
cnf(c_0_120,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
fof(c_0_121,plain,
! [X22,X23] :
( empty_carrier(X22)
| ~ lattice(X22)
| ~ latt_str(X22)
| ~ element(X23,the_carrier(poset_of_lattice(X22)))
| cast_to_el_of_lattice(X22,X23) = X23 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).
cnf(c_0_122,plain,
( relstr_set_smaller(X1,X2,X3)
| ~ related(X1,esk2_3(X1,X2,X3),X3)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_123,negated_conjecture,
( 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_115,c_0_53]),c_0_116]),c_0_49])]),c_0_117]) ).
cnf(c_0_124,negated_conjecture,
( related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0)),esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_79]) ).
cnf(c_0_125,negated_conjecture,
( cast_to_el_of_LattPOSet(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0)) = esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),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_50,c_0_79]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_126,negated_conjecture,
( 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_120,c_0_53]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_127,plain,
( empty_carrier(X1)
| cast_to_el_of_lattice(X1,X2) = X2
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_128,plain,
( related(X1,X4,X3)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X4,the_carrier(X1))
| ~ in(X4,X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_129,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)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_130,negated_conjecture,
( 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_122,c_0_123]),c_0_53]),c_0_49])]),c_0_58]) ).
cnf(c_0_131,negated_conjecture,
( related_reflexive(poset_of_lattice(esk20_0),esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_133,negated_conjecture,
( 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_50,c_0_126]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_134,negated_conjecture,
( 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_127,c_0_53]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_135,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,X2)
| ~ relstr_set_smaller(poset_of_lattice(esk20_0),X3,X2)
| ~ element(X1,the_carrier(esk20_0))
| ~ element(X2,the_carrier(esk20_0))
| ~ in(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_53]),c_0_49])]) ).
cnf(c_0_136,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_129,c_0_57]) ).
cnf(c_0_137,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_51])]) ).
cnf(c_0_138,plain,
( in(esk1_3(X1,X2,X3),X3)
| latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_139,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ below(X1,esk1_3(X1,X2,X3),X2)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_140,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ below_refl(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_51]),c_0_99]),c_0_100]),c_0_101]),c_0_28])]),c_0_29]) ).
cnf(c_0_141,plain,
( below_refl(X1,X2,X3)
| empty_carrier(X1)
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_142,negated_conjecture,
( cast_to_el_of_LattPOSet(esk20_0,X1) = X1
| ~ element(X1,the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,negated_conjecture,
( below(esk20_0,cast_to_el_of_lattice(esk20_0,X1),X2)
| ~ latt_element_smaller(esk20_0,X2,X3)
| ~ element(X2,the_carrier(esk20_0))
| ~ element(X1,the_carrier(esk20_0))
| ~ in(cast_to_el_of_lattice(esk20_0,X1),X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_126]),c_0_28])]),c_0_29]) ).
cnf(c_0_144,plain,
( related_reflexive(X1,X2,X3)
| empty_carrier(X1)
| ~ related(X1,X2,X3)
| ~ reflexive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_145,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_51])]) ).
cnf(c_0_146,negated_conjecture,
element(esk1_3(esk20_0,esk21_0,esk19_0),the_carrier(esk20_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_137]),c_0_71]) ).
cnf(c_0_147,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_138,c_0_51]),c_0_28])]),c_0_29]) ).
cnf(c_0_148,negated_conjecture,
( 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_139,c_0_140]),c_0_51]),c_0_28])]),c_0_29]),c_0_71]) ).
cnf(c_0_149,negated_conjecture,
( below_refl(esk20_0,X1,X2)
| ~ related_reflexive(poset_of_lattice(esk20_0),X1,cast_to_el_of_LattPOSet(esk20_0,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_141,c_0_142]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_150,negated_conjecture,
( below(esk20_0,X1,X2)
| ~ latt_element_smaller(esk20_0,X2,X3)
| ~ element(X2,the_carrier(esk20_0))
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_143,c_0_134]) ).
cnf(c_0_151,negated_conjecture,
( 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_144,c_0_53]),c_0_116]),c_0_49])]),c_0_117]) ).
cnf(c_0_152,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,X1)
| ~ related_reflexive(poset_of_lattice(esk20_0),esk1_3(esk20_0,esk21_0,X1),esk21_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_57]),c_0_51])]),c_0_71]) ).
cnf(c_0_154,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ latt_element_smaller(esk20_0,esk21_0,X2)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_150,c_0_51]) ).
cnf(c_0_155,negated_conjecture,
latt_element_smaller(esk20_0,esk21_0,esk19_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_51]),c_0_146])]),c_0_153]) ).
cnf(c_0_156,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_157,negated_conjecture,
( below_refl(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_111,c_0_156]) ).
cnf(c_0_158,negated_conjecture,
element(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),the_carrier(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_155])]) ).
cnf(c_0_159,negated_conjecture,
( related_reflexive(poset_of_lattice(esk20_0),cast_to_el_of_LattPOSet(esk20_0,X1),esk21_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_118,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
cast_to_el_of_LattPOSet(esk20_0,esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0)) = esk2_3(poset_of_lattice(esk20_0),esk19_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_50,c_0_158]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_161,negated_conjecture,
in(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_155])]) ).
cnf(c_0_162,negated_conjecture,
related_reflexive(poset_of_lattice(esk20_0),esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_158]),c_0_161])]) ).
cnf(c_0_163,negated_conjecture,
~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_155])]) ).
cnf(c_0_164,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_162]),c_0_51])]),c_0_163]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU349+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 2400
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Oct 2 09:20:01 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.O1brDQTdtB/E---3.1_29171.p
% 8.21/1.58 # Version: 3.1pre001
% 8.21/1.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.21/1.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.21/1.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.21/1.58 # Starting new_bool_3 with 300s (1) cores
% 8.21/1.58 # Starting new_bool_1 with 300s (1) cores
% 8.21/1.58 # Starting sh5l with 300s (1) cores
% 8.21/1.58 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 29250 completed with status 0
% 8.21/1.58 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.21/1.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.21/1.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.21/1.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.21/1.58 # No SInE strategy applied
% 8.21/1.58 # Search class: FGHSM-FFMM31-SFFFFFNN
% 8.21/1.58 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 8.21/1.58 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.21/1.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.21/1.58 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 8.21/1.58 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.21/1.58 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 8.21/1.58 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 29256 completed with status 0
% 8.21/1.58 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.21/1.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 8.21/1.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.21/1.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.21/1.58 # No SInE strategy applied
% 8.21/1.58 # Search class: FGHSM-FFMM31-SFFFFFNN
% 8.21/1.58 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 8.21/1.58 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 8.21/1.58 # Preprocessing time : 0.003 s
% 8.21/1.58 # Presaturation interreduction done
% 8.21/1.58
% 8.21/1.58 # Proof found!
% 8.21/1.58 # SZS status Theorem
% 8.21/1.58 # SZS output start CNFRefutation
% See solution above
% 8.21/1.58 # Parsed axioms : 71
% 8.21/1.58 # Removed by relevancy pruning/SinE : 0
% 8.21/1.58 # Initial clauses : 127
% 8.21/1.58 # Removed in clause preprocessing : 9
% 8.21/1.58 # Initial clauses in saturation : 118
% 8.21/1.58 # Processed clauses : 10113
% 8.21/1.58 # ...of these trivial : 91
% 8.21/1.58 # ...subsumed : 7254
% 8.21/1.58 # ...remaining for further processing : 2768
% 8.21/1.58 # Other redundant clauses eliminated : 14
% 8.21/1.58 # Clauses deleted for lack of memory : 0
% 8.21/1.58 # Backward-subsumed : 140
% 8.21/1.58 # Backward-rewritten : 331
% 8.21/1.58 # Generated clauses : 56900
% 8.21/1.58 # ...of the previous two non-redundant : 50686
% 8.21/1.58 # ...aggressively subsumed : 0
% 8.21/1.58 # Contextual simplify-reflections : 57
% 8.21/1.58 # Paramodulations : 56878
% 8.21/1.58 # Factorizations : 0
% 8.21/1.58 # NegExts : 0
% 8.21/1.58 # Equation resolutions : 20
% 8.21/1.58 # Total rewrite steps : 42688
% 8.21/1.58 # Propositional unsat checks : 0
% 8.21/1.58 # Propositional check models : 0
% 8.21/1.58 # Propositional check unsatisfiable : 0
% 8.21/1.58 # Propositional clauses : 0
% 8.21/1.58 # Propositional clauses after purity: 0
% 8.21/1.58 # Propositional unsat core size : 0
% 8.21/1.58 # Propositional preprocessing time : 0.000
% 8.21/1.58 # Propositional encoding time : 0.000
% 8.21/1.58 # Propositional solver time : 0.000
% 8.21/1.58 # Success case prop preproc time : 0.000
% 8.21/1.58 # Success case prop encoding time : 0.000
% 8.21/1.58 # Success case prop solver time : 0.000
% 8.21/1.58 # Current number of processed clauses : 2183
% 8.21/1.58 # Positive orientable unit clauses : 237
% 8.21/1.58 # Positive unorientable unit clauses: 2
% 8.21/1.58 # Negative unit clauses : 68
% 8.21/1.58 # Non-unit-clauses : 1876
% 8.21/1.58 # Current number of unprocessed clauses: 40343
% 8.21/1.58 # ...number of literals in the above : 148550
% 8.21/1.58 # Current number of archived formulas : 0
% 8.21/1.58 # Current number of archived clauses : 585
% 8.21/1.58 # Clause-clause subsumption calls (NU) : 871707
% 8.21/1.58 # Rec. Clause-clause subsumption calls : 621337
% 8.21/1.58 # Non-unit clause-clause subsumptions : 6849
% 8.21/1.58 # Unit Clause-clause subsumption calls : 27059
% 8.21/1.58 # Rewrite failures with RHS unbound : 0
% 8.21/1.58 # BW rewrite match attempts : 892
% 8.21/1.58 # BW rewrite match successes : 62
% 8.21/1.58 # Condensation attempts : 0
% 8.21/1.58 # Condensation successes : 0
% 8.21/1.58 # Termbank termtop insertions : 1669222
% 8.21/1.58
% 8.21/1.58 # -------------------------------------------------
% 8.21/1.58 # User time : 1.036 s
% 8.21/1.58 # System time : 0.026 s
% 8.21/1.58 # Total time : 1.062 s
% 8.21/1.58 # Maximum resident set size: 2116 pages
% 8.21/1.58
% 8.21/1.58 # -------------------------------------------------
% 8.21/1.58 # User time : 5.050 s
% 8.21/1.58 # System time : 0.169 s
% 8.21/1.58 # Total time : 5.220 s
% 8.21/1.58 # Maximum resident set size: 1756 pages
% 8.21/1.58 % E---3.1 exiting
% 8.21/1.58 % E---3.1 exiting
%------------------------------------------------------------------------------