%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU346+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:56:59 PM UTC 2026
% Result : Theorem 2.22s 1.78s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 201 ( 26 unt; 0 def)
% Number of atoms : 826 ( 100 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1052 ( 427 ~; 485 |; 98 &)
% ( 11 <=>; 29 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 274 ( 0 sgn 262 !; 12 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f9,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/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f11,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f27,axiom,
! [X0] :
( meet_semilatt_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f30,axiom,
! [X0] :
( join_semilatt_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f31,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f48,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f59,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/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f76,axiom,
! [X0,X1,X2,X3] :
( ( element(X3,X1)
& element(X2,X0)
& ~ empty(X1)
& ~ empty(X0) )
=> ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_domain_1) ).
fof(f77,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> k2_lattice3(X0) = relation_of_lattice(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_lattice3) ).
fof(f78,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f80,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/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f86,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<=> below_refl(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_1) ).
fof(f92,conjecture,
! [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/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f93,negated_conjecture,
~ ! [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)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f92]) ).
fof(f105,plain,
? [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)) ) ) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f106,plain,
? [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)) ) ) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f108,plain,
! [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)) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f110,plain,
! [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)) ) ),
inference(flattening,[],[f109]) ).
fof(f113,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f114,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<=> below_refl(X0,X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f116,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
<=> below_refl(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f115]) ).
fof(f121,plain,
! [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) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f122,plain,
! [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) ) ),
inference(flattening,[],[f121]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ~ element(X3,X1)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ element(X3,X1)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
inference(flattening,[],[f135]) ).
fof(f139,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| k2_lattice3(X0) = relation_of_lattice(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f140,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| k2_lattice3(X0) = relation_of_lattice(X0) ),
inference(flattening,[],[f139]) ).
fof(f145,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f146,plain,
! [X0,X1] :
( ~ relation_of2(X1,X0,X0)
| ! [X2,X3] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| ( X1 = X3
& X0 = X2 ) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f147,plain,
! [X0] :
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ),
inference(ennf_transformation,[],[f1]) ).
fof(f148,plain,
! [X0] :
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ),
inference(flattening,[],[f147]) ).
fof(f155,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f156,plain,
! [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)) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f158,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
inference(flattening,[],[f157]) ).
fof(f162,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f163,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f166,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f170,plain,
! [X0] :
( ~ latt_str(X0)
| ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f172,plain,
? [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)) )
& ( ~ 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)) ) ) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f173,plain,
? [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)) )
& ( ~ 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)) ) ) ) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
( latt_str(sK0)
& lattice(sK0)
& ~ empty_carrier(sK0)
& element(sK1,the_carrier(sK0))
& element(sK2,the_carrier(sK0))
& ( below_refl(sK0,sK1,sK2)
| related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) )
& ( ~ below_refl(sK0,sK1,sK2)
| ~ related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f173]) ).
fof(f177,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| below_refl(X0,X1,X2) )
& ( ~ below_refl(X0,X1,X2)
| in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f116]) ).
fof(f178,plain,
! [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) )
& ( ~ related(X0,X1,X2)
| related_reflexive(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f183,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| related(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f184,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,[],[f78]) ).
fof(f198,plain,
latt_str(sK0),
inference(cnf_transformation,[],[f174]) ).
fof(f199,plain,
lattice(sK0),
inference(cnf_transformation,[],[f174]) ).
fof(f200,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f174]) ).
fof(f201,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f174]) ).
fof(f202,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f174]) ).
fof(f203,plain,
( below_refl(sK0,sK1,sK2)
| related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f204,plain,
( ~ below_refl(sK0,sK1,sK2)
| ~ related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f209,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f210,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ empty_carrier(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f211,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| rel_str(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f214,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| reflexive_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f215,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f217,plain,
! [X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f114]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| below_refl(X0,X1,X2) ),
inference(cnf_transformation,[],[f177]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ below_refl(X0,X1,X2)
| in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ 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) ),
inference(cnf_transformation,[],[f178]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ related(X0,X1,X2)
| related_reflexive(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,X1)
| ~ element(X2,X0)
| empty(X1)
| empty(X0)
| ordered_pair_as_product_element(X0,X1,X2,X3) = ordered_pair(X2,X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f247,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| k2_lattice3(X0) = relation_of_lattice(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| related(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X1,X0,X0)
| rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X1,X0,X0)
| rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f146]) ).
fof(f270,plain,
! [X0] :
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f285,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f290,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f302,plain,
! [X0] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f304,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f306,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f313,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f314,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_49,negated_conjecture,
( ~ below_refl(sK0,sK1,sK2)
| ~ related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_50,negated_conjecture,
( below_refl(sK0,sK1,sK2)
| related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_51,negated_conjecture,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f202]) ).
tcf(c_52,negated_conjecture,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f201]) ).
tcf(c_53,negated_conjecture,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f200]) ).
tcf(c_54,negated_conjecture,
lattice(sK0),
inference(cnf_transformation,[],[f199]) ).
tcf(c_55,negated_conjecture,
latt_str(sK0),
inference(cnf_transformation,[],[f198]) ).
tcf(c_57,plain,
! [X0: $i] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ empty_carrier(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_58,plain,
! [X0: $i] :
( empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_62,plain,
! [X0: $i] :
( empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_63,plain,
! [X0: $i] :
( empty_carrier(X0)
| reflexive_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_66,plain,
! [X0: $i] :
( empty_carrier(X0)
| rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X1)
| ( cast_to_el_of_LattPOSet(X1,X0) = X0 )
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ below_refl(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| below_refl(X0,X1,X2)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0)) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| related_reflexive(X0,X1,X2)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| related(X0,X1,X2)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related_reflexive(X0,X1,X2) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( empty(X3)
| empty(X1)
| ( ordered_pair_as_product_element(X1,X3,X0,X2) = ordered_pair(X0,X2) )
| ~ element(X2,X3)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_98,plain,
! [X0: $i] :
( empty_carrier(X0)
| ( relation_of_lattice(X0) = k2_lattice3(X0) )
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( related(X2,X0,X1)
| ~ rel_str(X2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ in(ordered_pair(X0,X1),the_InternalRel(X2)) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ relation_of2(X1,X0,X0)
| ( rel_str_of(X0,X1) != rel_str_of(X2,X3) ) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ relation_of2(X1,X0,X0)
| ( rel_str_of(X0,X1) != rel_str_of(X2,X3) ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_119,plain,
! [X0: $i] :
( ( rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0 )
| ~ rel_str(X0)
| ~ strict_rel_str(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_138,plain,
! [X0: $i] :
( empty_carrier(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_139,plain,
! [X0: $i] :
( empty_carrier(X0)
| ( rel_str_of(the_carrier(X0),k2_lattice3(X0)) = poset_of_lattice(X0) )
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_151,plain,
! [X0: $i] :
( empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_153,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_155,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_162,plain,
! [X0: $i] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_163,plain,
! [X0: $i] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_170,plain,
( meet_semilatt_str(sK0)
| ~ latt_str(sK0) ),
inference(instantiation,[status(thm)],[c_162]) ).
tcf(c_171,plain,
( one_sorted_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_182,plain,
( empty_carrier(sK0)
| ~ one_sorted_str(sK0)
| ~ empty(the_carrier(sK0)) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_203,plain,
( empty_carrier(sK0)
| rel_str(poset_of_lattice(sK0))
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_206,plain,
( empty_carrier(sK0)
| reflexive_relstr(poset_of_lattice(sK0))
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_207,plain,
( empty_carrier(sK0)
| strict_rel_str(poset_of_lattice(sK0))
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_209,plain,
( empty_carrier(sK0)
| ~ latt_str(sK0)
| ~ lattice(sK0)
| ~ empty_carrier(poset_of_lattice(sK0)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_213,plain,
( empty_carrier(sK0)
| ( relation_of_lattice(sK0) = k2_lattice3(sK0) )
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_217,plain,
( empty_carrier(sK0)
| relation_of2_as_subset(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0))
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_219,plain,
( empty_carrier(sK0)
| ( rel_str_of(the_carrier(sK0),k2_lattice3(sK0)) = poset_of_lattice(sK0) )
| ~ latt_str(sK0)
| ~ lattice(sK0) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_240,plain,
( ~ related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2))
| ~ below_refl(sK0,sK1,sK2) ),
inference(prop_impl_just,[status(thm)],[c_49]) ).
tcf(c_241,plain,
( ~ below_refl(sK0,sK1,sK2)
| ~ related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(renaming,[status(thm)],[c_240]) ).
tcf(c_242,plain,
( related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2))
| below_refl(sK0,sK1,sK2) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
tcf(c_243,plain,
( below_refl(sK0,sK1,sK2)
| related_reflexive(poset_of_lattice(sK0),cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)) ),
inference(renaming,[status(thm)],[c_242]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
tcf(c_248,plain,
! [X0: $i] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_163]) ).
tcf(c_280,plain,
! [X0: $i] :
( ~ join_semilatt_str(X0)
| one_sorted_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_153]) ).
tcf(c_281,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ join_semilatt_str(X0) ),
inference(renaming,[status(thm)],[c_280]) ).
tcf(c_1690,plain,
! [X0: $i,X1: $i] :
( one_sorted_str(X1)
| ~ latt_str(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_281]) ).
tcf(c_1691,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ~ latt_str(X0) ),
inference(unflattening,[status(thm)],[c_1690]) ).
tcf(c_2002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( empty_carrier(X0)
| in(ordered_pair(X3,X5),the_InternalRel(X1))
| ~ rel_str(X1)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ related_reflexive(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_116]) ).
tcf(c_2003,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ related_reflexive(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_2002]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( empty_carrier(X0)
| related_reflexive(X0,X2,X4)
| ~ rel_str(X1)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| ~ in(ordered_pair(X3,X5),the_InternalRel(X1))
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_74,c_115]) ).
tcf(c_2031,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| related_reflexive(X2,X0,X1)
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ in(ordered_pair(X0,X1),the_InternalRel(X2)) ),
inference(unflattening,[status(thm)],[c_2030]) ).
tcf(c_2290,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| below_refl(sK0,sK1,sK2)
| in(ordered_pair(X0,X1),the_InternalRel(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ( poset_of_lattice(sK0) != X2 )
| ( cast_to_el_of_LattPOSet(sK0,sK2) != X1 )
| ( cast_to_el_of_LattPOSet(sK0,sK1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_243,c_2003]) ).
tcf(c_2291,plain,
( empty_carrier(poset_of_lattice(sK0))
| below_refl(sK0,sK1,sK2)
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ rel_str(poset_of_lattice(sK0))
| ~ reflexive_relstr(poset_of_lattice(sK0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0))) ),
inference(unflattening,[status(thm)],[c_2290]) ).
tcf(c_2292,plain,
( ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| below_refl(sK0,sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_2291,c_55,c_54,c_53,c_203,c_206,c_209,c_2291]) ).
tcf(c_2293,plain,
( below_refl(sK0,sK1,sK2)
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0))) ),
inference(renaming,[status(thm)],[c_2292]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X2)
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| ~ below_refl(sK0,sK1,sK2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ in(ordered_pair(X0,X1),the_InternalRel(X2))
| ( poset_of_lattice(sK0) != X2 )
| ( cast_to_el_of_LattPOSet(sK0,sK2) != X1 )
| ( cast_to_el_of_LattPOSet(sK0,sK1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_241,c_2031]) ).
tcf(c_2307,plain,
( empty_carrier(poset_of_lattice(sK0))
| ~ rel_str(poset_of_lattice(sK0))
| ~ reflexive_relstr(poset_of_lattice(sK0))
| ~ below_refl(sK0,sK1,sK2)
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0))) ),
inference(unflattening,[status(thm)],[c_2306]) ).
tcf(c_2308,plain,
( ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ below_refl(sK0,sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_2307,c_55,c_54,c_53,c_203,c_206,c_209,c_2307]) ).
tcf(c_2309,plain,
( ~ below_refl(sK0,sK1,sK2)
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0))) ),
inference(renaming,[status(thm)],[c_2308]) ).
tcf(c_3213,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_2293,c_70]) ).
tcf(c_3214,plain,
( empty_carrier(sK0)
| in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0))
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ latt_str(sK0)
| ~ lattice(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0))) ),
inference(unflattening,[status(thm)],[c_3213]) ).
tcf(c_3215,plain,
( ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_3214,c_55,c_54,c_53,c_52,c_51,c_3214]) ).
tcf(c_3216,plain,
( in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0))
| in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0))) ),
inference(renaming,[status(thm)],[c_3215]) ).
tcf(c_3229,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X1,X2),relation_of_lattice(X0))
| ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_2309,c_71]) ).
tcf(c_3230,plain,
( empty_carrier(sK0)
| ~ latt_str(sK0)
| ~ lattice(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0))
| ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0))) ),
inference(unflattening,[status(thm)],[c_3229]) ).
tcf(c_3231,plain,
( ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0)))
| ~ in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_3230,c_55,c_54,c_53,c_52,c_51,c_3230]) ).
tcf(c_3232,plain,
( ~ element(cast_to_el_of_LattPOSet(sK0,sK2),the_carrier(poset_of_lattice(sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK0,sK1),the_carrier(poset_of_lattice(sK0)))
| ~ in(ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2),relation_of_lattice(sK0))
| ~ in(ordered_pair(cast_to_el_of_LattPOSet(sK0,sK1),cast_to_el_of_LattPOSet(sK0,sK2)),the_InternalRel(poset_of_lattice(sK0))) ),
inference(renaming,[status(thm)],[c_3231]) ).
tcf(c_3460,plain,
! [X0: $i] :
( empty_carrier(X0)
| ( rel_str_of(the_carrier(X0),k2_lattice3(X0)) = poset_of_lattice(X0) )
| ~ latt_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_139]) ).
tcf(c_3461,plain,
( empty_carrier(sK0)
| ( rel_str_of(the_carrier(sK0),k2_lattice3(sK0)) = poset_of_lattice(sK0) )
| ~ latt_str(sK0) ),
inference(unflattening,[status(thm)],[c_3460]) ).
tcf(c_3462,plain,
rel_str_of(the_carrier(sK0),k2_lattice3(sK0)) = poset_of_lattice(sK0),
inference(global_subsumption_just,[status(thm)],[c_3461,c_55,c_54,c_53,c_219]) ).
tcf(c_3467,plain,
! [X0: $i] :
( empty_carrier(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| ~ latt_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_138]) ).
tcf(c_3468,plain,
( empty_carrier(sK0)
| relation_of2_as_subset(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0))
| ~ latt_str(sK0) ),
inference(unflattening,[status(thm)],[c_3467]) ).
tcf(c_3469,plain,
relation_of2_as_subset(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3468,c_55,c_54,c_53,c_217]) ).
tcf(c_3474,plain,
! [X0: $i] :
( empty_carrier(X0)
| ( relation_of_lattice(X0) = k2_lattice3(X0) )
| ~ latt_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_98]) ).
tcf(c_3475,plain,
( empty_carrier(sK0)
| ( relation_of_lattice(sK0) = k2_lattice3(sK0) )
| ~ latt_str(sK0) ),
inference(unflattening,[status(thm)],[c_3474]) ).
tcf(c_3476,plain,
relation_of_lattice(sK0) = k2_lattice3(sK0),
inference(global_subsumption_just,[status(thm)],[c_3475,c_55,c_54,c_53,c_213]) ).
tcf(c_3481,plain,
! [X0: $i] :
( empty_carrier(X0)
| rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_66]) ).
tcf(c_3482,plain,
( empty_carrier(sK0)
| rel_str(poset_of_lattice(sK0))
| ~ latt_str(sK0) ),
inference(unflattening,[status(thm)],[c_3481]) ).
tcf(c_3483,plain,
rel_str(poset_of_lattice(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3482,c_55,c_54,c_53,c_203]) ).
tcf(c_3509,plain,
! [X0: $i] :
( empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_58]) ).
tcf(c_3510,plain,
( empty_carrier(sK0)
| strict_rel_str(poset_of_lattice(sK0))
| ~ latt_str(sK0) ),
inference(unflattening,[status(thm)],[c_3509]) ).
tcf(c_3511,plain,
strict_rel_str(poset_of_lattice(sK0)),
inference(global_subsumption_just,[status(thm)],[c_3510,c_55,c_54,c_53,c_207]) ).
tcf(c_3538,plain,
! [X0: $i,X1: $i] :
( empty_carrier(X0)
| ( cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_68]) ).
tcf(c_3539,plain,
! [X0: $i] :
( empty_carrier(sK0)
| ( cast_to_el_of_LattPOSet(sK0,X0) = X0 )
| ~ latt_str(sK0)
| ~ element(X0,the_carrier(sK0)) ),
inference(unflattening,[status(thm)],[c_3538]) ).
tcf(c_3541,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK0))
| ( cast_to_el_of_LattPOSet(sK0,X0) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_3539,c_55,c_53,c_3539]) ).
tcf(c_3542,plain,
! [X0: $i] :
( ( cast_to_el_of_LattPOSet(sK0,X0) = X0 )
| ~ element(X0,the_carrier(sK0)) ),
inference(renaming,[status(thm)],[c_3541]) ).
tcf(c_3758,plain,
! [X0: $i] :
( one_sorted_str(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_1691]) ).
tcf(c_3759,plain,
one_sorted_str(sK0),
inference(unflattening,[status(thm)],[c_3758]) ).
tcf(c_3904,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ( k2_lattice3(sK0) != X0 )
| ( the_carrier(sK0) != X2 )
| ( the_carrier(sK0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_246,c_3469]) ).
tcf(c_3905,plain,
relation_of2(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0)),
inference(unflattening,[status(thm)],[c_3904]) ).
tcf(c_4133,plain,
! [X0: $i] :
( empty_carrier(X0)
| ~ empty(the_carrier(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_151,c_3759]) ).
tcf(c_4134,plain,
( empty_carrier(sK0)
| ~ empty(the_carrier(sK0)) ),
inference(unflattening,[status(thm)],[c_4133]) ).
tcf(c_4135,plain,
~ empty(the_carrier(sK0)),
inference(global_subsumption_just,[status(thm)],[c_4134,c_55,c_53,c_170,c_171,c_182]) ).
tcf(c_9033,plain,
cast_to_el_of_LattPOSet(sK0,sK2) = sK2,
inference(superposition,[status(thm)],[c_51,c_3542]) ).
tcf(c_9034,plain,
cast_to_el_of_LattPOSet(sK0,sK1) = sK1,
inference(superposition,[status(thm)],[c_52,c_3542]) ).
tcf(c_9385,plain,
( ( rel_str_of(the_carrier(poset_of_lattice(sK0)),the_InternalRel(poset_of_lattice(sK0))) = poset_of_lattice(sK0) )
| ~ rel_str(poset_of_lattice(sK0)) ),
inference(superposition,[status(thm)],[c_3511,c_119]) ).
tcf(c_9390,plain,
rel_str_of(the_carrier(poset_of_lattice(sK0)),the_InternalRel(poset_of_lattice(sK0))) = poset_of_lattice(sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_9385,c_3483]) ).
tcf(c_9397,plain,
! [X0: $i,X1: $i] :
( ( the_carrier(sK0) = X0 )
| ~ relation_of2(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0))
| ( rel_str_of(X0,X1) != poset_of_lattice(sK0) ) ),
inference(superposition,[status(thm)],[c_3462,c_117]) ).
tcf(c_9403,plain,
! [X0: $i,X1: $i] :
( ( the_carrier(sK0) = X0 )
| ( rel_str_of(X0,X1) != poset_of_lattice(sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9397,c_3905]) ).
tcf(c_9458,plain,
the_carrier(poset_of_lattice(sK0)) = the_carrier(sK0),
inference(superposition,[status(thm)],[c_9390,c_9403]) ).
tcf(c_9459,plain,
rel_str_of(the_carrier(sK0),the_InternalRel(poset_of_lattice(sK0))) = poset_of_lattice(sK0),
inference(demodulation,[status(thm)],[c_9390,c_9458]) ).
tcf(c_9522,plain,
! [X0: $i,X1: $i] :
( ( k2_lattice3(sK0) = X1 )
| ~ relation_of2(k2_lattice3(sK0),the_carrier(sK0),the_carrier(sK0))
| ( rel_str_of(X0,X1) != poset_of_lattice(sK0) ) ),
inference(superposition,[status(thm)],[c_3462,c_118]) ).
tcf(c_9528,plain,
! [X0: $i,X1: $i] :
( ( k2_lattice3(sK0) = X1 )
| ( rel_str_of(X0,X1) != poset_of_lattice(sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9522,c_3905]) ).
tcf(c_9561,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| empty(the_carrier(sK0))
| ( ordered_pair_as_product_element(the_carrier(sK0),X1,sK1,X0) = ordered_pair(sK1,X0) )
| ~ element(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_96]) ).
tcf(c_9585,plain,
! [X0: $i,X1: $i] :
( empty(X1)
| ( ordered_pair_as_product_element(the_carrier(sK0),X1,sK1,X0) = ordered_pair(sK1,X0) )
| ~ element(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9561,c_4135]) ).
tcf(c_9726,plain,
( empty(the_carrier(sK0))
| ( ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2) = ordered_pair(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_51,c_9585]) ).
tcf(c_9751,plain,
ordered_pair_as_product_element(the_carrier(sK0),the_carrier(sK0),sK1,sK2) = ordered_pair(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_9726,c_4135]) ).
tcf(c_12252,plain,
the_InternalRel(poset_of_lattice(sK0)) = k2_lattice3(sK0),
inference(superposition,[status(thm)],[c_9459,c_9528]) ).
tcf(c_13700,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_12252,c_9751,c_9458,c_9034,c_9033,c_3476,c_3232,c_3216,c_52,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU346+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 13:46:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 2.22/1.78 % SZS status Started for theBenchmark.p
% 2.22/1.78 % SZS status Theorem for theBenchmark.p
% 2.22/1.78
% 2.22/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.22/1.78
% 2.22/1.78 % ------ iProver source info
% 2.22/1.78
% 2.22/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 2.22/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.22/1.78 % git: non_committed_changes: false
% 2.22/1.78
% 2.22/1.78 % ------ Parsing...
% 2.22/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.22/1.78
% 2.22/1.78 % ------ 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 %
% 2.22/1.78
% 2.22/1.78 % ------ Preprocessing... gs_s sp: 12 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.22/1.78
% 2.22/1.78 % ------ Preprocessing... sf_s rm: 5 0s sf_e sf_s rm: 0 0s sf_e
% 2.22/1.78 % ------ Proving...
% 2.22/1.78 % ------ Problem Properties
% 2.22/1.78
% 2.22/1.78 %
% 2.22/1.78 % clauses 148
% 2.22/1.78 % conjectures 3
% 2.22/1.78 % EPR 22
% 2.22/1.78 % Horn 130
% 2.22/1.78 % unary 86
% 2.22/1.78 % binary 34
% 2.22/1.78 % lits 268
% 2.22/1.78 % lits eq 23
% 2.22/1.78 % fd_pure 0
% 2.22/1.78 % fd_pseudo 0
% 2.22/1.78 % fd_cond 0
% 2.22/1.78 % fd_pseudo_cond 3
% 2.22/1.78 % AC symbols 0
% 2.22/1.78
% 2.22/1.78 % ------ Schedule dynamic 5 is on
% 2.22/1.78
% 2.22/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.22/1.78
% 2.22/1.78
% 2.22/1.78 % ------
% 2.22/1.78 % Current options:
% 2.22/1.78 % ------
% 2.22/1.78
% 2.22/1.78
% 2.22/1.78 %
% 2.22/1.78
% 2.22/1.78 % ------ Proving...
% 2.22/1.78 %
% 2.22/1.78
% 2.22/1.78 % SZS status Theorem for theBenchmark.p
% 2.22/1.78
% 2.22/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.22/1.79
% 2.22/1.79
%------------------------------------------------------------------------------