TSTP Solution File: SEU349+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:19:15 EDT 2022
% Result : Theorem 0.22s 2.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 125 ( 11 unt; 0 def)
% Number of atoms : 652 ( 33 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 869 ( 342 ~; 401 |; 82 &)
% ( 8 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 234 ( 8 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_orders_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g1_orders_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v1_orders_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_lattice3) ).
fof(redefinition_k2_lattice3,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> k2_lattice3(X1) = relation_of_lattice(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k2_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r3_lattices) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_lattice3) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_lattices) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t30_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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r3_orders_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_lattice3) ).
fof(dt_k4_lattice3,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(X1)) )
=> element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_lattice3) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc4_lattice3) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_lattice3) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d17_lattice3) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_subset) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_lattice3) ).
fof(c_0_22,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_23,plain,
! [X2] :
( ~ rel_str(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_24,plain,
! [X5,X6,X7,X8] :
( ( X5 = X7
| rel_str_of(X5,X6) != rel_str_of(X7,X8)
| ~ relation_of2(X6,X5,X5) )
& ( X6 = X8
| rel_str_of(X5,X6) != rel_str_of(X7,X8)
| ~ relation_of2(X6,X5,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])])])]) ).
cnf(c_0_25,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( X2 = X3
| ~ relation_of2(X1,X2,X2)
| rel_str_of(X2,X1) != rel_str_of(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
( relation_of2(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_29,plain,
! [X2] :
( ~ rel_str(X2)
| ~ strict_rel_str(X2)
| X2 = rel_str_of(the_carrier(X2),the_InternalRel(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2])]) ).
fof(c_0_30,plain,
! [X2] :
( empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2)
| poset_of_lattice(X2) = rel_str_of(the_carrier(X2),k2_lattice3(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_lattice3])])]) ).
fof(c_0_31,plain,
! [X2] :
( empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2)
| k2_lattice3(X2) = relation_of_lattice(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k2_lattice3])])]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( ( ~ below_refl(X4,X5,X6)
| below(X4,X5,X6)
| empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_absorbing(X4)
| ~ join_absorbing(X4)
| ~ latt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) )
& ( ~ below(X4,X5,X6)
| below_refl(X4,X5,X6)
| empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_absorbing(X4)
| ~ join_absorbing(X4)
| ~ latt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r3_lattices])])])]) ).
fof(c_0_33,plain,
! [X4,X5,X6] :
( ( ~ below_refl(X4,X5,X6)
| related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6))
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ lattice(X4)
| ~ latt_str(X4) )
& ( ~ related_reflexive(poset_of_lattice(X4),cast_to_el_of_LattPOSet(X4,X5),cast_to_el_of_LattPOSet(X4,X6))
| below_refl(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ lattice(X4)
| ~ latt_str(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_lattice3])])])])])])]) ).
fof(c_0_34,plain,
! [X2] :
( ( ~ empty_carrier(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( join_commutative(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( join_associative(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( meet_commutative(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( meet_associative(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( meet_absorbing(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( join_absorbing(X2)
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattices])])])]) ).
fof(c_0_35,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(assume_negation,[status(cth)],[t30_lattice3]) ).
cnf(c_0_36,plain,
( the_carrier(X1) = X2
| rel_str_of(the_carrier(X1),the_InternalRel(X1)) != rel_str_of(X2,X3)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,plain,
( X1 = rel_str_of(the_carrier(X1),the_InternalRel(X1))
| ~ strict_rel_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( poset_of_lattice(X1) = rel_str_of(the_carrier(X1),k2_lattice3(X1))
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( k2_lattice3(X1) = relation_of_lattice(X1)
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( empty_carrier(X2)
| below(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ latt_str(X2)
| ~ join_absorbing(X2)
| ~ meet_absorbing(X2)
| ~ meet_commutative(X2)
| ~ below_refl(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( ( ~ related_reflexive(X4,X5,X6)
| related(X4,X5,X6)
| empty_carrier(X4)
| ~ reflexive_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) )
& ( ~ related(X4,X5,X6)
| related_reflexive(X4,X5,X6)
| empty_carrier(X4)
| ~ reflexive_relstr(X4)
| ~ rel_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r3_orders_2])])])]) ).
fof(c_0_46,plain,
! [X2] :
( ( strict_rel_str(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( reflexive_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( transitive_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( antisymmetric_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( rel_str(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_lattice3])])])]) ).
fof(c_0_47,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ~ element(X4,the_carrier(X3))
| element(cast_to_el_of_LattPOSet(X3,X4),the_carrier(poset_of_lattice(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_lattice3])])]) ).
fof(c_0_48,plain,
! [X2] :
( ( ~ empty_carrier(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( strict_rel_str(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( reflexive_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( transitive_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) )
& ( antisymmetric_relstr(poset_of_lattice(X2))
| empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc4_lattice3])])])]) ).
fof(c_0_49,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_35])])])])])]) ).
fof(c_0_50,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ~ element(X4,the_carrier(X3))
| cast_to_el_of_LattPOSet(X3,X4) = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d3_lattice3])])])])])]) ).
cnf(c_0_51,plain,
( the_carrier(X1) = X2
| X1 != rel_str_of(X2,X3)
| ~ strict_rel_str(X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_52,plain,
( rel_str_of(the_carrier(X1),relation_of_lattice(X1)) = poset_of_lattice(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_53,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_54,plain,
! [X5,X6,X7,X8] :
( ( ~ relstr_set_smaller(X5,X6,X7)
| ~ element(X8,the_carrier(X5))
| ~ in(X8,X6)
| related(X5,X8,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( element(esk2_3(X5,X6,X7),the_carrier(X5))
| relstr_set_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( in(esk2_3(X5,X6,X7),X6)
| relstr_set_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ related(X5,esk2_3(X5,X6,X7),X7)
| relstr_set_smaller(X5,X6,X7)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_lattice3])])])])])])]) ).
fof(c_0_55,plain,
! [X5,X6,X7,X8,X7] :
( ( ~ latt_element_smaller(X5,X6,X7)
| ~ element(X8,the_carrier(X5))
| ~ in(X8,X7)
| below(X5,X8,X6)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ latt_str(X5) )
& ( element(esk1_3(X5,X6,X7),the_carrier(X5))
| latt_element_smaller(X5,X6,X7)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ latt_str(X5) )
& ( in(esk1_3(X5,X6,X7),X7)
| latt_element_smaller(X5,X6,X7)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ latt_str(X5) )
& ( ~ below(X5,esk1_3(X5,X6,X7),X6)
| latt_element_smaller(X5,X6,X7)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ latt_str(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d17_lattice3])])])])])])])]) ).
cnf(c_0_56,plain,
( below(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(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_57,plain,
( empty_carrier(X2)
| related_reflexive(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ related(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_59,plain,
( element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
( empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ empty_carrier(poset_of_lattice(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_62,negated_conjecture,
( 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) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_63,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,negated_conjecture,
element(esk21_0,the_carrier(esk20_0)),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_65,negated_conjecture,
lattice(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_66,negated_conjecture,
latt_str(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_67,negated_conjecture,
~ empty_carrier(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,plain,
( the_carrier(X1) = the_carrier(X2)
| empty_carrier(X2)
| X1 != poset_of_lattice(X2)
| ~ lattice(X2)
| ~ latt_str(X2)
| ~ strict_rel_str(X1)
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_69,plain,
( empty_carrier(X1)
| strict_rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70,negated_conjecture,
( ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_72,plain,
( relstr_set_smaller(X1,X3,X2)
| in(esk2_3(X1,X3,X2),X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_73,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) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_74,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| ~ related(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_75,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)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,plain,
( related(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_77,negated_conjecture,
( relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_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_62,c_0_63]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_78,negated_conjecture,
rel_str(poset_of_lattice(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_58]),c_0_65]),c_0_66])]) ).
cnf(c_0_79,plain,
( the_carrier(poset_of_lattice(X1)) = the_carrier(X1)
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_68]),c_0_58]),c_0_69]) ).
cnf(c_0_80,negated_conjecture,
( ~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0)
| ~ latt_element_smaller(esk20_0,esk21_0,esk19_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_70,c_0_63]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_81,plain,
( relstr_set_smaller(X1,X2,X3)
| ~ empty(X2)
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,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)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ related(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,esk1_3(X1,X2,X3)),cast_to_el_of_LattPOSet(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_84,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,esk21_0)
| latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ element(esk21_0,the_carrier(poset_of_lattice(esk20_0)))
| ~ element(X1,the_carrier(poset_of_lattice(esk20_0)))
| ~ in(X1,esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_85,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(spm,[status(thm)],[c_0_67,c_0_79]),c_0_65]),c_0_66])]) ).
cnf(c_0_86,negated_conjecture,
( ~ empty(esk19_0)
| ~ latt_element_smaller(esk20_0,esk21_0,esk19_0)
| ~ element(esk21_0,the_carrier(poset_of_lattice(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_78])]) ).
cnf(c_0_87,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ empty(X3)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_82]) ).
cnf(c_0_88,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ related(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,esk1_3(X1,X2,X3)),X2)
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_63]) ).
cnf(c_0_89,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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_64]),c_0_85])]) ).
fof(c_0_90,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_91,negated_conjecture,
( ~ empty(esk19_0)
| ~ 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(spm,[status(thm)],[c_0_86,c_0_87]),c_0_64]),c_0_66])]),c_0_67]) ).
cnf(c_0_92,plain,
( element(X1,the_carrier(poset_of_lattice(X2)))
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_63]) ).
cnf(c_0_93,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| latt_element_smaller(esk20_0,esk21_0,X1)
| ~ element(cast_to_el_of_LattPOSet(esk20_0,esk1_3(esk20_0,esk21_0,X1)),the_carrier(esk20_0))
| ~ in(cast_to_el_of_LattPOSet(esk20_0,esk1_3(esk20_0,esk21_0,X1)),esk19_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_88,c_0_89]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_94,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_95,negated_conjecture,
~ empty(esk19_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_91,c_0_92]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_96,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| latt_element_smaller(esk20_0,esk21_0,X1)
| ~ element(cast_to_el_of_LattPOSet(esk20_0,esk1_3(esk20_0,esk21_0,X1)),the_carrier(esk20_0))
| ~ element(cast_to_el_of_LattPOSet(esk20_0,esk1_3(esk20_0,esk21_0,X1)),esk19_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
fof(c_0_97,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_98,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)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ below_refl(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_99,plain,
( empty_carrier(X2)
| below_refl(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ latt_str(X2)
| ~ join_absorbing(X2)
| ~ meet_absorbing(X2)
| ~ meet_commutative(X2)
| ~ below(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_100,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ~ element(X4,the_carrier(poset_of_lattice(X3)))
| element(cast_to_el_of_lattice(X3,X4),the_carrier(X3)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lattice3])])]) ).
fof(c_0_101,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ~ element(X4,the_carrier(poset_of_lattice(X3)))
| cast_to_el_of_lattice(X3,X4) = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_lattice3])])])])])]) ).
cnf(c_0_102,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| latt_element_smaller(esk20_0,esk21_0,X1)
| ~ element(esk1_3(esk20_0,esk21_0,X1),the_carrier(esk20_0))
| ~ element(esk1_3(esk20_0,esk21_0,X1),esk19_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_63]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_103,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,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(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_105,plain,
( element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( latt_element_smaller(esk20_0,esk21_0,esk19_0)
| latt_element_smaller(esk20_0,esk21_0,X1)
| ~ element(esk1_3(esk20_0,esk21_0,X1),esk19_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_75]),c_0_64]),c_0_66])]),c_0_67]) ).
cnf(c_0_108,plain,
( latt_element_smaller(X1,X2,X3)
| element(esk1_3(X1,X2,X3),X3)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_82]) ).
cnf(c_0_109,plain,
( empty_carrier(X2)
| related(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ related_reflexive(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_110,plain,
( related_reflexive(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| empty_carrier(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_63]) ).
cnf(c_0_111,plain,
( element(X1,the_carrier(X2))
| empty_carrier(X2)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_112,plain,
( empty_carrier(X1)
| below(X1,X3,X2)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ latt_element_smaller(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_113,negated_conjecture,
latt_element_smaller(esk20_0,esk21_0,esk19_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_64]),c_0_66])]),c_0_67]) ).
cnf(c_0_114,plain,
( related(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| empty_carrier(X1)
| ~ below(X1,X2,X3)
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_58]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_115,negated_conjecture,
( below(esk20_0,X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_64]),c_0_66])]),c_0_67]) ).
cnf(c_0_116,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,cast_to_el_of_LattPOSet(esk20_0,esk21_0))
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_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_114,c_0_115]),c_0_85]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_117,plain,
( relstr_set_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,esk2_3(X1,X3,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_118,negated_conjecture,
( related(poset_of_lattice(esk20_0),X1,esk21_0)
| ~ element(X1,the_carrier(esk20_0))
| ~ in(X1,esk19_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_116,c_0_63]),c_0_64]),c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_119,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))
| ~ in(esk2_3(poset_of_lattice(esk20_0),X1,esk21_0),esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_85]),c_0_64]),c_0_78])]) ).
cnf(c_0_120,negated_conjecture,
~ relstr_set_smaller(poset_of_lattice(esk20_0),esk19_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_113])]) ).
cnf(c_0_121,plain,
( relstr_set_smaller(X1,X3,X2)
| element(esk2_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_122,negated_conjecture,
~ element(esk2_3(poset_of_lattice(esk20_0),esk19_0,esk21_0),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_119,c_0_72]),c_0_85]),c_0_64]),c_0_78])]),c_0_120]) ).
cnf(c_0_123,plain,
( relstr_set_smaller(poset_of_lattice(X1),X2,X3)
| element(esk2_3(poset_of_lattice(X1),X2,X3),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_121]),c_0_58]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_85]),c_0_64]),c_0_65]),c_0_66])]),c_0_120]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 08:32:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/2.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/2.42 # Preprocessing time : 0.020 s
% 0.22/2.42
% 0.22/2.42 # Proof found!
% 0.22/2.42 # SZS status Theorem
% 0.22/2.42 # SZS output start CNFRefutation
% See solution above
% 0.22/2.42 # Proof object total steps : 125
% 0.22/2.42 # Proof object clause steps : 80
% 0.22/2.42 # Proof object formula steps : 45
% 0.22/2.42 # Proof object conjectures : 30
% 0.22/2.42 # Proof object clause conjectures : 27
% 0.22/2.42 # Proof object formula conjectures : 3
% 0.22/2.42 # Proof object initial clauses used : 40
% 0.22/2.42 # Proof object initial formulas used : 22
% 0.22/2.42 # Proof object generating inferences : 38
% 0.22/2.42 # Proof object simplifying inferences : 104
% 0.22/2.42 # Training examples: 0 positive, 0 negative
% 0.22/2.42 # Parsed axioms : 71
% 0.22/2.42 # Removed by relevancy pruning/SinE : 0
% 0.22/2.42 # Initial clauses : 127
% 0.22/2.42 # Removed in clause preprocessing : 9
% 0.22/2.42 # Initial clauses in saturation : 118
% 0.22/2.42 # Processed clauses : 5395
% 0.22/2.42 # ...of these trivial : 94
% 0.22/2.42 # ...subsumed : 3402
% 0.22/2.42 # ...remaining for further processing : 1899
% 0.22/2.42 # Other redundant clauses eliminated : 2
% 0.22/2.42 # Clauses deleted for lack of memory : 0
% 0.22/2.42 # Backward-subsumed : 135
% 0.22/2.42 # Backward-rewritten : 69
% 0.22/2.42 # Generated clauses : 42489
% 0.22/2.42 # ...of the previous two non-trivial : 41459
% 0.22/2.42 # Contextual simplify-reflections : 4853
% 0.22/2.42 # Paramodulations : 42425
% 0.22/2.42 # Factorizations : 0
% 0.22/2.42 # Equation resolutions : 61
% 0.22/2.42 # Current number of processed clauses : 1694
% 0.22/2.42 # Positive orientable unit clauses : 76
% 0.22/2.42 # Positive unorientable unit clauses: 0
% 0.22/2.42 # Negative unit clauses : 15
% 0.22/2.42 # Non-unit-clauses : 1603
% 0.22/2.42 # Current number of unprocessed clauses: 33994
% 0.22/2.42 # ...number of literals in the above : 367344
% 0.22/2.42 # Current number of archived formulas : 0
% 0.22/2.42 # Current number of archived clauses : 204
% 0.22/2.42 # Clause-clause subsumption calls (NU) : 2340926
% 0.22/2.42 # Rec. Clause-clause subsumption calls : 137126
% 0.22/2.42 # Non-unit clause-clause subsumptions : 8253
% 0.22/2.42 # Unit Clause-clause subsumption calls : 4716
% 0.22/2.42 # Rewrite failures with RHS unbound : 0
% 0.22/2.42 # BW rewrite match attempts : 68
% 0.22/2.42 # BW rewrite match successes : 14
% 0.22/2.42 # Condensation attempts : 0
% 0.22/2.42 # Condensation successes : 0
% 0.22/2.42 # Termbank termtop insertions : 2042306
% 0.22/2.42
% 0.22/2.42 # -------------------------------------------------
% 0.22/2.42 # User time : 1.980 s
% 0.22/2.42 # System time : 0.020 s
% 0.22/2.42 # Total time : 2.000 s
% 0.22/2.42 # Maximum resident set size: 49632 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------