TSTP Solution File: SEU347+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU347+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 : 300s
% DateTime : Fri May 3 03:05:53 EDT 2024
% Result : Theorem 170.15s 23.23s
% Output : CNFRefutation 170.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 241 ( 11 unt; 0 def)
% Number of atoms : 1280 ( 127 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 1759 ( 720 ~; 831 |; 154 &)
% ( 18 <=>; 34 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 511 ( 5 sgn 205 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f3,axiom,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f6,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_lattice3) ).
fof(f7,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f10,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f14,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f16,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f17,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lattice3) ).
fof(f44,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f46,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f56,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& latt_str(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f63,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f64,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f71,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f78,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f79,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f78]) ).
fof(f81,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f82,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f81]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f88,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f89]) ).
fof(f93,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f93]) ).
fof(f96,plain,
! [X0] :
( ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f97,plain,
! [X0] :
( ( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& reflexive(k2_lattice3(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f99,plain,
! [X0] :
( ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f101,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f100]) ).
fof(f118,plain,
! [X0] :
( ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f119,plain,
! [X0] :
( ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f118]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f130]) ).
fof(f137,plain,
? [X0,X1] :
( ? [X2] :
( ( latt_set_smaller(X1,X2,X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f138,plain,
? [X0,X1] :
( ? [X2] :
( ( latt_set_smaller(X1,X2,X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f137]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f147]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) )
=> ( ~ below(X0,X1,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X2)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ( ~ below(X0,X1,sK0(X0,X1,X2))
& in(sK0(X0,X1,X2),X2)
& element(sK0(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f151,f152]) ).
fof(f154,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f155,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& element(sK1(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& element(sK1(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f155,f156]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ( ( below_refl(X0,X1,X2)
| ~ below(X0,X1,X2) )
& ( below(X0,X1,X2)
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ( ( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2) )
& ( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f193,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(nnf_transformation,[],[f138]) ).
fof(f194,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,X2))
| ~ latt_set_smaller(sK19,X2,sK18) )
& ( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,X2))
| latt_set_smaller(sK19,X2,sK18) )
& element(X2,the_carrier(sK19)) )
& latt_str(sK19)
& lattice(sK19)
& ~ empty_carrier(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,X2))
| ~ latt_set_smaller(sK19,X2,sK18) )
& ( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,X2))
| latt_set_smaller(sK19,X2,sK18) )
& element(X2,the_carrier(sK19)) )
=> ( ( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ latt_set_smaller(sK19,sK20,sK18) )
& ( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| latt_set_smaller(sK19,sK20,sK18) )
& element(sK20,the_carrier(sK19)) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
( ( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ latt_set_smaller(sK19,sK20,sK18) )
& ( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| latt_set_smaller(sK19,sK20,sK18) )
& element(sK20,the_carrier(sK19))
& latt_str(sK19)
& lattice(sK19)
& ~ empty_carrier(sK19) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f194,f196,f195]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f199,plain,
! [X0] :
( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f204,plain,
! [X0] :
( meet_commutative(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f206,plain,
! [X0] :
( meet_absorbing(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f207,plain,
! [X0] :
( join_absorbing(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f210,plain,
! [X2,X0,X1,X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f211,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| element(sK0(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f212,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| in(sK0(X0,X1,X2),X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f213,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| ~ below(X0,X1,sK0(X0,X1,X2))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f214,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f215,plain,
! [X0,X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f217,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f218,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| element(sK1(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f219,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| in(sK1(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f220,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| ~ related(X0,X2,sK1(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f227,plain,
! [X0] :
( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f232,plain,
! [X0] :
( rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f233,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f263,plain,
! [X0] :
( ~ empty_carrier(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f264,plain,
! [X0] :
( strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f265,plain,
! [X0] :
( reflexive_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| rel_str_of(X0,X1) != rel_str_of(X2,X3)
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f290,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f292,plain,
! [X2,X0,X1] :
( below(X0,X1,X2)
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f293,plain,
! [X2,X0,X1] :
( below_refl(X0,X1,X2)
| ~ below(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f294,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f295,plain,
! [X2,X0,X1] :
( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f300,plain,
~ empty_carrier(sK19),
inference(cnf_transformation,[],[f197]) ).
fof(f301,plain,
lattice(sK19),
inference(cnf_transformation,[],[f197]) ).
fof(f302,plain,
latt_str(sK19),
inference(cnf_transformation,[],[f197]) ).
fof(f303,plain,
element(sK20,the_carrier(sK19)),
inference(cnf_transformation,[],[f197]) ).
fof(f304,plain,
( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| latt_set_smaller(sK19,sK20,sK18) ),
inference(cnf_transformation,[],[f197]) ).
fof(f305,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ latt_set_smaller(sK19,sK20,sK18) ),
inference(cnf_transformation,[],[f197]) ).
fof(f312,plain,
! [X2,X0,X1] :
( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f313,plain,
! [X2,X0,X1] :
( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_49,plain,
( ~ strict_rel_str(X0)
| ~ rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_51,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| join_absorbing(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_52,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| meet_absorbing(X0) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_54,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| meet_commutative(X0) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_58,plain,
( ~ below(X0,X1,sK0(X0,X1,X2))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_59,plain,
( ~ element(X0,the_carrier(X1))
| ~ latt_str(X1)
| in(sK0(X1,X0,X2),X2)
| latt_set_smaller(X1,X0,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_60,plain,
( ~ element(X0,the_carrier(X1))
| ~ latt_str(X1)
| element(sK0(X1,X0,X2),the_carrier(X1))
| latt_set_smaller(X1,X0,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_61,plain,
( ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X2)
| ~ latt_str(X0)
| below(X0,X1,X3)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_62,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| rel_str_of(the_carrier(X0),k2_lattice3(X0)) = poset_of_lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_63,plain,
( ~ element(X0,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| cast_to_el_of_LattPOSet(X1,X0) = X0
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_65,plain,
( ~ related(X0,X1,sK1(X0,X2,X1))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| relstr_element_smaller(X0,X2,X1) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_66,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| in(sK1(X1,X2,X0),X2)
| relstr_element_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_67,plain,
( ~ element(X0,the_carrier(X1))
| ~ rel_str(X1)
| element(sK1(X1,X2,X0),the_carrier(X1))
| relstr_element_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_68,plain,
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X1)
| ~ rel_str(X0)
| related(X0,X2,X3) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_71,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_76,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| rel_str(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_81,plain,
( ~ element(X0,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1)
| element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_113,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| reflexive_relstr(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_114,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| strict_rel_str(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_115,plain,
( ~ empty_carrier(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_118,plain,
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| ~ relation_of2(X1,X0,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_139,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_140,plain,
( ~ below(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| below_refl(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_141,plain,
( ~ below_refl(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| below(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_142,plain,
( ~ related(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| related_reflexive(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_143,plain,
( ~ related_reflexive(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| related(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_148,negated_conjecture,
( ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ latt_set_smaller(sK19,sK20,sK18) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_149,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| latt_set_smaller(sK19,sK20,sK18) ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_150,negated_conjecture,
element(sK20,the_carrier(sK19)),
inference(cnf_transformation,[],[f303]) ).
cnf(c_151,negated_conjecture,
latt_str(sK19),
inference(cnf_transformation,[],[f302]) ).
cnf(c_152,negated_conjecture,
lattice(sK19),
inference(cnf_transformation,[],[f301]) ).
cnf(c_153,negated_conjecture,
~ empty_carrier(sK19),
inference(cnf_transformation,[],[f300]) ).
cnf(c_160,plain,
( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| below_refl(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_161,plain,
( ~ below_refl(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_199,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| strict_rel_str(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_200,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| reflexive_relstr(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_204,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| rel_str(poset_of_lattice(sK19))
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_208,plain,
( ~ empty_carrier(poset_of_lattice(sK19))
| ~ lattice(sK19)
| ~ latt_str(sK19)
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_217,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19)
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_245,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_139]) ).
cnf(c_1312,plain,
( the_carrier(X0) != X1
| the_carrier(X0) != X2
| k2_lattice3(X0) != X3
| ~ lattice(X0)
| ~ latt_str(X0)
| relation_of2(X3,X1,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_71,c_245]) ).
cnf(c_1313,plain,
( ~ lattice(X0)
| ~ latt_str(X0)
| relation_of2(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1312]) ).
cnf(c_1314,plain,
( ~ lattice(sK19)
| ~ latt_str(sK19)
| relation_of2(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19))
| empty_carrier(sK19) ),
inference(instantiation,[status(thm)],[c_1313]) ).
cnf(c_1388,plain,
( X0 != X1
| ~ below_refl(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ latt_str(X1)
| ~ meet_absorbing(X1)
| ~ meet_commutative(X1)
| below(X1,X2,X3)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_141]) ).
cnf(c_1389,plain,
( ~ below_refl(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| below(X0,X1,X2)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1388]) ).
cnf(c_1391,plain,
( ~ below_refl(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| below(X0,X1,X2)
| empty_carrier(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1389,c_54,c_52,c_1389]) ).
cnf(c_1415,plain,
( X0 != X1
| ~ below(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ latt_str(X1)
| ~ meet_absorbing(X1)
| ~ meet_commutative(X1)
| below_refl(X1,X2,X3)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_140]) ).
cnf(c_1416,plain,
( ~ below(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| below_refl(X0,X1,X2)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1415]) ).
cnf(c_1418,plain,
( ~ below(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| below_refl(X0,X1,X2)
| empty_carrier(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1416,c_54,c_52,c_51,c_140]) ).
cnf(c_1511,plain,
( sK1(X0,X1,X2) != X3
| X0 != X4
| X2 != X5
| ~ related_reflexive(X4,X5,X3)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ rel_str(X0)
| ~ rel_str(X4)
| ~ reflexive_relstr(X4)
| relstr_element_smaller(X0,X1,X2)
| empty_carrier(X4) ),
inference(resolution_lifted,[status(thm)],[c_65,c_143]) ).
cnf(c_1512,plain,
( ~ related_reflexive(X0,X1,sK1(X0,X2,X1))
| ~ element(sK1(X0,X2,X1),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| relstr_element_smaller(X0,X2,X1)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1511]) ).
cnf(c_1528,plain,
( ~ related_reflexive(X0,X1,sK1(X0,X2,X1))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| relstr_element_smaller(X0,X2,X1)
| empty_carrier(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1512,c_67]) ).
cnf(c_1536,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ relstr_element_smaller(X0,X6,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X1))
| ~ in(X4,X6)
| ~ rel_str(X0)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| related_reflexive(X1,X3,X5)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_68,c_142]) ).
cnf(c_1537,plain,
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X1)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| related_reflexive(X0,X2,X3)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1536]) ).
cnf(c_1810,plain,
( sK0(X0,X1,X2) != X3
| X0 != X4
| X1 != X5
| ~ below_refl(X4,X5,X3)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| ~ lattice(X4)
| ~ latt_str(X0)
| ~ latt_str(X4)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0)
| empty_carrier(X4) ),
inference(resolution_lifted,[status(thm)],[c_58,c_1391]) ).
cnf(c_1811,plain,
( ~ below_refl(X0,X1,sK0(X0,X1,X2))
| ~ element(sK0(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1810]) ).
cnf(c_1827,plain,
( ~ below_refl(X0,X1,sK0(X0,X1,X2))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1811,c_60]) ).
cnf(c_1835,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ latt_set_smaller(X0,X2,X6)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X1))
| ~ in(X4,X6)
| ~ lattice(X1)
| ~ latt_str(X0)
| ~ latt_str(X1)
| below_refl(X1,X3,X5)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_61,c_1418]) ).
cnf(c_1836,plain,
( ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X2)
| ~ lattice(X0)
| ~ latt_str(X0)
| below_refl(X0,X1,X3)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_1835]) ).
cnf(c_2328,plain,
( sK0(X1,X3,X4) != X5
| X0 != X1
| X2 != X3
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X2),cast_to_el_of_LattPOSet(X0,X5))
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ lattice(X0)
| ~ lattice(X1)
| ~ latt_str(X0)
| ~ latt_str(X1)
| latt_set_smaller(X1,X3,X4)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_160,c_1827]) ).
cnf(c_2329,plain,
( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,sK0(X0,X1,X2)))
| ~ element(sK0(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_2328]) ).
cnf(c_2345,plain,
( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,sK0(X0,X1,X2)))
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2329,c_60]) ).
cnf(c_2353,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ latt_set_smaller(X1,X3,X6)
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ element(X5,the_carrier(X1))
| ~ in(X5,X6)
| ~ lattice(X0)
| ~ lattice(X1)
| ~ latt_str(X0)
| ~ latt_str(X1)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X2),cast_to_el_of_LattPOSet(X0,X4))
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(resolution_lifted,[status(thm)],[c_161,c_1836]) ).
cnf(c_2354,plain,
( ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X2)
| ~ lattice(X0)
| ~ latt_str(X0)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X3))
| empty_carrier(X0) ),
inference(unflattening,[status(thm)],[c_2353]) ).
cnf(c_2452,plain,
( X0 != sK19
| ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X2)
| ~ latt_str(X0)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X3))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_2354,c_152]) ).
cnf(c_2453,plain,
( ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ element(X2,the_carrier(sK19))
| ~ in(X2,X1)
| ~ latt_str(sK19)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,X2))
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2452]) ).
cnf(c_2454,plain,
( related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,X2))
| ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ element(X2,the_carrier(sK19))
| ~ in(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2453,c_151,c_153,c_2453]) ).
cnf(c_2455,plain,
( ~ latt_set_smaller(sK19,X0,X1)
| ~ element(X0,the_carrier(sK19))
| ~ element(X2,the_carrier(sK19))
| ~ in(X2,X1)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,X2)) ),
inference(renaming,[status(thm)],[c_2454]) ).
cnf(c_2471,plain,
( X0 != sK19
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,sK0(X0,X1,X2)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_2345,c_152]) ).
cnf(c_2472,plain,
( ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,sK0(sK19,X0,X1)))
| ~ element(X0,the_carrier(sK19))
| ~ latt_str(sK19)
| latt_set_smaller(sK19,X0,X1)
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2471]) ).
cnf(c_2474,plain,
( latt_set_smaller(sK19,X0,X1)
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,sK0(sK19,X0,X1)))
| ~ element(X0,the_carrier(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_2472,c_151,c_153,c_2472]) ).
cnf(c_2475,plain,
( ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,sK0(sK19,X0,X1)))
| ~ element(X0,the_carrier(sK19))
| latt_set_smaller(sK19,X0,X1) ),
inference(renaming,[status(thm)],[c_2474]) ).
cnf(c_2570,plain,
( X0 != sK19
| ~ latt_str(X0)
| rel_str_of(the_carrier(X0),k2_lattice3(X0)) = poset_of_lattice(X0)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_62,c_152]) ).
cnf(c_2571,plain,
( ~ latt_str(sK19)
| rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19)
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2570]) ).
cnf(c_2572,plain,
rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = poset_of_lattice(sK19),
inference(global_subsumption_just,[status(thm)],[c_2571,c_152,c_151,c_153,c_217]) ).
cnf(c_2604,plain,
( X0 != sK19
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_81,c_152]) ).
cnf(c_2605,plain,
( ~ element(X0,the_carrier(sK19))
| ~ latt_str(sK19)
| element(cast_to_el_of_LattPOSet(sK19,X0),the_carrier(poset_of_lattice(sK19)))
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2604]) ).
cnf(c_2628,plain,
( X0 != sK19
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_63,c_152]) ).
cnf(c_2629,plain,
( ~ element(X0,the_carrier(sK19))
| ~ latt_str(sK19)
| cast_to_el_of_LattPOSet(sK19,X0) = X0
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2628]) ).
cnf(c_2631,plain,
( cast_to_el_of_LattPOSet(sK19,X0) = X0
| ~ element(X0,the_carrier(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_2629,c_151,c_153,c_2629]) ).
cnf(c_2632,plain,
( ~ element(X0,the_carrier(sK19))
| cast_to_el_of_LattPOSet(sK19,X0) = X0 ),
inference(renaming,[status(thm)],[c_2631]) ).
cnf(c_2785,plain,
( X0 != sK19
| ~ element(X1,the_carrier(X0))
| element(sK0(X0,X1,X2),the_carrier(X0))
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_60,c_151]) ).
cnf(c_2786,plain,
( ~ element(X0,the_carrier(sK19))
| element(sK0(sK19,X0,X1),the_carrier(sK19))
| latt_set_smaller(sK19,X0,X1)
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2785]) ).
cnf(c_2788,plain,
( latt_set_smaller(sK19,X0,X1)
| element(sK0(sK19,X0,X1),the_carrier(sK19))
| ~ element(X0,the_carrier(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_2786,c_153,c_2786]) ).
cnf(c_2789,plain,
( ~ element(X0,the_carrier(sK19))
| element(sK0(sK19,X0,X1),the_carrier(sK19))
| latt_set_smaller(sK19,X0,X1) ),
inference(renaming,[status(thm)],[c_2788]) ).
cnf(c_2800,plain,
( X0 != sK19
| ~ element(X1,the_carrier(X0))
| in(sK0(X0,X1,X2),X2)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_59,c_151]) ).
cnf(c_2801,plain,
( ~ element(X0,the_carrier(sK19))
| in(sK0(sK19,X0,X1),X1)
| latt_set_smaller(sK19,X0,X1)
| empty_carrier(sK19) ),
inference(unflattening,[status(thm)],[c_2800]) ).
cnf(c_2803,plain,
( latt_set_smaller(sK19,X0,X1)
| in(sK0(sK19,X0,X1),X1)
| ~ element(X0,the_carrier(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_2801,c_153,c_2801]) ).
cnf(c_2804,plain,
( ~ element(X0,the_carrier(sK19))
| in(sK0(sK19,X0,X1),X1)
| latt_set_smaller(sK19,X0,X1) ),
inference(renaming,[status(thm)],[c_2803]) ).
cnf(c_6088,plain,
( ~ element(X0,the_carrier(sK19))
| element(cast_to_el_of_LattPOSet(sK19,X0),the_carrier(poset_of_lattice(sK19))) ),
inference(prop_impl_just,[status(thm)],[c_151,c_153,c_2605]) ).
cnf(c_6090,plain,
( ~ element(X0,the_carrier(sK19))
| cast_to_el_of_LattPOSet(sK19,X0) = X0 ),
inference(prop_impl_just,[status(thm)],[c_2632]) ).
cnf(c_9644,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_9649,plain,
( X0 != X1
| ~ in(X1,X2)
| in(X0,X2) ),
theory(equality) ).
cnf(c_9653,plain,
( X0 != X1
| X2 != X3
| ~ element(X1,X3)
| element(X0,X2) ),
theory(equality) ).
cnf(c_9658,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ relstr_element_smaller(X1,X3,X5)
| relstr_element_smaller(X0,X2,X4) ),
theory(equality) ).
cnf(c_9668,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ related_reflexive(X1,X3,X5)
| related_reflexive(X0,X2,X4) ),
theory(equality) ).
cnf(c_11603,plain,
( ~ element(sK20,the_carrier(sK19))
| element(sK0(sK19,sK20,X0),the_carrier(sK19))
| latt_set_smaller(sK19,sK20,X0) ),
inference(instantiation,[status(thm)],[c_2789]) ).
cnf(c_11627,plain,
( ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,X0)))
| ~ element(sK20,the_carrier(sK19))
| latt_set_smaller(sK19,sK20,X0) ),
inference(instantiation,[status(thm)],[c_2475]) ).
cnf(c_11638,plain,
( ~ element(sK20,the_carrier(sK19))
| in(sK0(sK19,sK20,X0),X0)
| latt_set_smaller(sK19,sK20,X0) ),
inference(instantiation,[status(thm)],[c_2804]) ).
cnf(c_11709,plain,
( ~ element(sK20,the_carrier(sK19))
| element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| latt_set_smaller(sK19,sK20,sK18) ),
inference(instantiation,[status(thm)],[c_11603]) ).
cnf(c_11716,plain,
( ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
| ~ element(sK20,the_carrier(sK19))
| latt_set_smaller(sK19,sK20,sK18) ),
inference(instantiation,[status(thm)],[c_11627]) ).
cnf(c_11721,plain,
( ~ element(sK20,the_carrier(sK19))
| in(sK0(sK19,sK20,sK18),sK18)
| latt_set_smaller(sK19,sK20,sK18) ),
inference(instantiation,[status(thm)],[c_11638]) ).
cnf(c_11854,plain,
( ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
| ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| ~ reflexive_relstr(poset_of_lattice(sK19))
| relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| empty_carrier(poset_of_lattice(sK19)) ),
inference(instantiation,[status(thm)],[c_1528]) ).
cnf(c_12476,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| in(sK1(poset_of_lattice(sK19),X1,X0),X1)
| relstr_element_smaller(poset_of_lattice(sK19),X1,X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_12583,plain,
( ~ element(sK20,the_carrier(sK19))
| element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19))) ),
inference(instantiation,[status(thm)],[c_6088]) ).
cnf(c_15283,plain,
( rel_str_of(X0,X1) != poset_of_lattice(sK19)
| ~ relation_of2(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19))
| the_carrier(sK19) = X0 ),
inference(superposition,[status(thm)],[c_2572,c_118]) ).
cnf(c_15285,plain,
( rel_str_of(X0,X1) != poset_of_lattice(sK19)
| ~ relation_of2(X1,X0,X0)
| the_carrier(sK19) = X0 ),
inference(superposition,[status(thm)],[c_2572,c_118]) ).
cnf(c_15794,plain,
( rel_str_of(X0,X1) != poset_of_lattice(sK19)
| the_carrier(sK19) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_15285,c_152,c_151,c_153,c_1314,c_15283]) ).
cnf(c_17032,plain,
( ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| in(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK18)
| relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_12476]) ).
cnf(c_19671,plain,
( ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19))) ),
inference(instantiation,[status(thm)],[c_6088]) ).
cnf(c_19738,plain,
( ~ element(sK0(sK19,sK20,sK18),the_carrier(sK19))
| cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)) = sK0(sK19,sK20,sK18) ),
inference(instantiation,[status(thm)],[c_6090]) ).
cnf(c_22756,plain,
( X0 != poset_of_lattice(sK19)
| rel_str_of(the_carrier(sK19),k2_lattice3(sK19)) = X0 ),
inference(resolution,[status(thm)],[c_9644,c_2572]) ).
cnf(c_30666,plain,
( rel_str_of(X0,X1) != poset_of_lattice(sK19)
| ~ relation_of2(k2_lattice3(sK19),the_carrier(sK19),the_carrier(sK19))
| the_carrier(sK19) = X0 ),
inference(resolution,[status(thm)],[c_118,c_22756]) ).
cnf(c_33296,plain,
( ~ element(sK1(X0,X1,X2),the_carrier(sK19))
| ~ in(sK1(X0,X1,X2),X1)
| ~ latt_set_smaller(sK19,X3,X1)
| ~ element(X3,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X3),cast_to_el_of_LattPOSet(sK19,sK1(X0,X1,X2))) ),
inference(instantiation,[status(thm)],[c_2455]) ).
cnf(c_33327,plain,
( ~ element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19)))
| ~ in(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK19),X0,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| ~ reflexive_relstr(poset_of_lattice(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
| empty_carrier(poset_of_lattice(sK19)) ),
inference(instantiation,[status(thm)],[c_1537]) ).
cnf(c_33392,plain,
( X0 != sK0(sK19,sK20,sK18)
| ~ in(sK0(sK19,sK20,sK18),sK18)
| in(X0,sK18) ),
inference(instantiation,[status(thm)],[c_9649]) ).
cnf(c_33648,plain,
( cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)) != sK0(sK19,sK20,sK18)
| ~ in(sK0(sK19,sK20,sK18),sK18)
| in(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK18) ),
inference(instantiation,[status(thm)],[c_33392]) ).
cnf(c_33894,plain,
( ~ element(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),the_carrier(poset_of_lattice(sK19)))
| ~ in(cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)),sK18)
| ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
| ~ relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ rel_str(poset_of_lattice(sK19))
| ~ reflexive_relstr(poset_of_lattice(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK0(sK19,sK20,sK18)))
| empty_carrier(poset_of_lattice(sK19)) ),
inference(instantiation,[status(thm)],[c_33327]) ).
cnf(c_34724,plain,
( ~ element(X0,the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| element(sK1(poset_of_lattice(sK19),X1,X0),the_carrier(poset_of_lattice(sK19)))
| relstr_element_smaller(poset_of_lattice(sK19),X1,X0) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_36536,plain,
( ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
| ~ in(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK18)
| ~ latt_set_smaller(sK19,X0,sK18)
| ~ element(X0,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,X0),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))) ),
inference(instantiation,[status(thm)],[c_33296]) ).
cnf(c_41496,plain,
( ~ element(cast_to_el_of_LattPOSet(sK19,sK20),the_carrier(poset_of_lattice(sK19)))
| ~ rel_str(poset_of_lattice(sK19))
| element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| relstr_element_smaller(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_34724]) ).
cnf(c_49890,plain,
( X0 != poset_of_lattice(sK19)
| X1 != sK18
| X2 != cast_to_el_of_LattPOSet(sK19,sK20)
| relstr_element_smaller(X0,X1,X2)
| latt_set_smaller(sK19,sK20,sK18) ),
inference(resolution,[status(thm)],[c_9658,c_149]) ).
cnf(c_50147,plain,
latt_set_smaller(sK19,sK20,sK18),
inference(global_subsumption_just,[status(thm)],[c_49890,c_152,c_151,c_153,c_150,c_149,c_200,c_204,c_208,c_11709,c_11716,c_11721,c_12583,c_19671,c_19738,c_33648,c_33894]) ).
cnf(c_62462,plain,
( ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
| ~ in(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),sK18)
| ~ latt_set_smaller(sK19,sK20,sK18)
| ~ element(sK20,the_carrier(sK19))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))) ),
inference(instantiation,[status(thm)],[c_36536]) ).
cnf(c_84497,plain,
( rel_str_of(X0,X1) != poset_of_lattice(sK19)
| the_carrier(sK19) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_30666,c_15794]) ).
cnf(c_84509,plain,
( ~ strict_rel_str(poset_of_lattice(sK19))
| ~ rel_str(poset_of_lattice(sK19))
| the_carrier(sK19) = the_carrier(poset_of_lattice(sK19)) ),
inference(resolution,[status(thm)],[c_84497,c_49]) ).
cnf(c_107023,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| cast_to_el_of_LattPOSet(sK19,sK20) != X1
| poset_of_lattice(sK19) != X2
| ~ related_reflexive(X2,X1,X0)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_9668]) ).
cnf(c_107315,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| cast_to_el_of_LattPOSet(sK19,sK20) != X1
| poset_of_lattice(sK19) != poset_of_lattice(sK19)
| ~ related_reflexive(poset_of_lattice(sK19),X1,X0)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_107023]) ).
cnf(c_107316,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| cast_to_el_of_LattPOSet(sK19,sK20) != X1
| ~ related_reflexive(poset_of_lattice(sK19),X1,X0)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(equality_resolution_simp,[status(thm)],[c_107315]) ).
cnf(c_107339,plain,
( X0 != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| X1 != the_carrier(poset_of_lattice(sK19))
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| element(X0,X1) ),
inference(instantiation,[status(thm)],[c_9653]) ).
cnf(c_107412,plain,
( ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19))
| cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) = sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_6090]) ).
cnf(c_107915,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| X1 != X0
| sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) = X1 ),
inference(instantiation,[status(thm)],[c_9644]) ).
cnf(c_107977,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| cast_to_el_of_LattPOSet(sK19,sK20) != cast_to_el_of_LattPOSet(sK19,sK20)
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),X0)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_107316]) ).
cnf(c_107978,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != X0
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),X0)
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(equality_resolution_simp,[status(thm)],[c_107977]) ).
cnf(c_108019,plain,
( the_carrier(X0) != the_carrier(poset_of_lattice(sK19))
| X1 != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| element(X1,the_carrier(X0)) ),
inference(instantiation,[status(thm)],[c_107339]) ).
cnf(c_109297,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != cast_to_el_of_LattPOSet(sK19,X0)
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,X0))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_107978]) ).
cnf(c_111285,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| X0 != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) = X0 ),
inference(instantiation,[status(thm)],[c_107915]) ).
cnf(c_111286,plain,
( X0 != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) = X0 ),
inference(equality_resolution_simp,[status(thm)],[c_111285]) ).
cnf(c_111879,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| the_carrier(X0) != the_carrier(poset_of_lattice(sK19))
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(X0)) ),
inference(instantiation,[status(thm)],[c_108019]) ).
cnf(c_111880,plain,
( the_carrier(X0) != the_carrier(poset_of_lattice(sK19))
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(X0)) ),
inference(equality_resolution_simp,[status(thm)],[c_111879]) ).
cnf(c_111881,plain,
( the_carrier(sK19) != the_carrier(poset_of_lattice(sK19))
| ~ element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(poset_of_lattice(sK19)))
| element(sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)),the_carrier(sK19)) ),
inference(instantiation,[status(thm)],[c_111880]) ).
cnf(c_122014,plain,
( cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) != sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))
| sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) = cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_111286]) ).
cnf(c_245901,plain,
( sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)) != cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20)))
| ~ related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),cast_to_el_of_LattPOSet(sK19,sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))))
| related_reflexive(poset_of_lattice(sK19),cast_to_el_of_LattPOSet(sK19,sK20),sK1(poset_of_lattice(sK19),sK18,cast_to_el_of_LattPOSet(sK19,sK20))) ),
inference(instantiation,[status(thm)],[c_109297]) ).
cnf(c_245902,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_245901,c_122014,c_111881,c_107412,c_84509,c_62462,c_50147,c_41496,c_17032,c_12583,c_11854,c_148,c_208,c_204,c_200,c_199,c_150,c_153,c_151,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU347+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 17:37:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 170.15/23.23 % SZS status Started for theBenchmark.p
% 170.15/23.23 % SZS status Theorem for theBenchmark.p
% 170.15/23.23
% 170.15/23.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 170.15/23.23
% 170.15/23.23 ------ iProver source info
% 170.15/23.23
% 170.15/23.23 git: date: 2024-05-02 19:28:25 +0000
% 170.15/23.23 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 170.15/23.23 git: non_committed_changes: false
% 170.15/23.23
% 170.15/23.23 ------ Parsing...
% 170.15/23.23 ------ Clausification by vclausify_rel & Parsing by iProver...
% 170.15/23.23
% 170.15/23.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e
% 170.15/23.23
% 170.15/23.23 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 170.15/23.23
% 170.15/23.23 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 170.15/23.23 ------ Proving...
% 170.15/23.23 ------ Problem Properties
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23 clauses 105
% 170.15/23.23 conjectures 4
% 170.15/23.23 EPR 22
% 170.15/23.23 Horn 84
% 170.15/23.23 unary 42
% 170.15/23.23 binary 32
% 170.15/23.23 lits 228
% 170.15/23.23 lits eq 12
% 170.15/23.23 fd_pure 0
% 170.15/23.23 fd_pseudo 0
% 170.15/23.23 fd_cond 1
% 170.15/23.23 fd_pseudo_cond 3
% 170.15/23.23 AC symbols 0
% 170.15/23.23
% 170.15/23.23 ------ Input Options Time Limit: Unbounded
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23 ------
% 170.15/23.23 Current options:
% 170.15/23.23 ------
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23 ------ Proving...
% 170.15/23.23
% 170.15/23.23
% 170.15/23.23 % SZS status Theorem for theBenchmark.p
% 170.15/23.23
% 170.15/23.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 170.15/23.23
% 170.15/23.23
%------------------------------------------------------------------------------