%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU373+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 10:27:49 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( element(A,C)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( element(A,powerset(B))
| ~ subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ element(A,powerset(B))
| subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ in(A,B)
| element(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( subset(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
input ).
fof(redefinition_m2_relset_1_0,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
| ~ relation_of2(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_m2_relset_1_1,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| relation_of2(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_k8_relset_1,axiom,
! [A,B,C,D] :
( relation_of2(C,A,B)
=> relation_dom_restr_as_relation_of(A,B,C,D) = relation_dom_restriction(C,D) ),
input ).
fof(redefinition_k8_relset_1_0,plain,
! [A,B,C,D] :
( ~ relation_of2(C,A,B)
| relation_dom_restr_as_relation_of(A,B,C,D) = relation_dom_restriction(C,D) ),
inference(orientation,[status(thm)],[redefinition_k8_relset_1]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( empty(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ empty(A)
& ~ empty(B) )
=> ~ empty(cartesian_product2(A,B)) ),
input ).
fof(fc4_subset_1_0,plain,
! [A,B] :
( ~ empty(cartesian_product2(A,B))
| ~ ( ~ empty(A)
& ~ empty(B) ) ),
inference(orientation,[status(thm)],[fc4_subset_1]) ).
fof(fc4_relat_1,axiom,
( empty(empty_set)
& relation(empty_set) ),
input ).
fof(fc4_relat_1_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
fof(fc4_relat_1_1,plain,
( relation(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
fof(fc1_subset_1,axiom,
! [A] : ~ empty(powerset(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ empty(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
input ).
fof(fc12_relat_1_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_1,plain,
( relation(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_2,plain,
( relation_empty_yielding(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(existence_m1_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ? [B] : subrelstr(B,A) ),
input ).
fof(existence_m1_yellow_0_0,plain,
! [A] :
( ~ rel_str(A)
| ? [B] : subrelstr(B,A) ),
inference(orientation,[status(thm)],[existence_m1_yellow_0]) ).
fof(existence_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ? [B] : net_str(B,A) ),
input ).
fof(existence_l1_waybel_0_0,plain,
! [A] :
( ~ one_sorted_str(A)
| ? [B] : net_str(B,A) ),
inference(orientation,[status(thm)],[existence_l1_waybel_0]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_u1_orders_2,axiom,
! [A] :
( rel_str(A)
=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
input ).
fof(dt_u1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
inference(orientation,[status(thm)],[dt_u1_orders_2]) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> element(C,powerset(cartesian_product2(A,B))) ),
input ).
fof(dt_m2_relset_1_0,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| element(C,powerset(cartesian_product2(A,B))) ),
inference(orientation,[status(thm)],[dt_m2_relset_1]) ).
fof(dt_m1_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( subrelstr(B,A)
=> rel_str(B) ) ),
input ).
fof(dt_m1_yellow_0_0,plain,
! [A] :
( ~ rel_str(A)
| ! [B] :
( subrelstr(B,A)
=> rel_str(B) ) ),
inference(orientation,[status(thm)],[dt_m1_yellow_0]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_m1_relset_1,axiom,
$true,
input ).
fof(dt_m1_relset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_relset_1]) ).
fof(dt_l1_waybel_0,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
input ).
fof(dt_l1_waybel_0_0,plain,
! [A] :
( ~ one_sorted_str(A)
| ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
inference(orientation,[status(thm)],[dt_l1_waybel_0]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
input ).
fof(dt_l1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| one_sorted_str(A) ),
inference(orientation,[status(thm)],[dt_l1_orders_2]) ).
fof(dt_k8_relset_1,axiom,
! [A,B,C,D] :
( relation_of2(C,A,B)
=> relation_of2_as_subset(relation_dom_restr_as_relation_of(A,B,C,D),A,B) ),
input ).
fof(dt_k8_relset_1_0,plain,
! [A,B,C,D] :
( ~ relation_of2(C,A,B)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(A,B,C,D),A,B) ),
inference(orientation,[status(thm)],[dt_k8_relset_1]) ).
fof(dt_k7_relat_1,axiom,
! [A,B] :
( relation(A)
=> relation(relation_dom_restriction(A,B)) ),
input ).
fof(dt_k7_relat_1_0,plain,
! [A,B] :
( ~ relation(A)
| relation(relation_dom_restriction(A,B)) ),
inference(orientation,[status(thm)],[dt_k7_relat_1]) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
input ).
fof(dt_k2_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_zfmisc_1]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(d8_yellow_6,axiom,
! [A] :
( one_sorted_str(A)
=> ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ),
input ).
fof(d8_yellow_6_0,plain,
! [A] :
( ~ one_sorted_str(A)
| ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ),
inference(orientation,[status(thm)],[d8_yellow_6]) ).
fof(d13_yellow_0,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_carrier(B),the_carrier(A))
& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
input ).
fof(d13_yellow_0_0,plain,
! [A] :
( ~ rel_str(A)
| ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_carrier(B),the_carrier(A))
& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
inference(orientation,[status(thm)],[d13_yellow_0]) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
input ).
fof(cc1_relset_1_0,plain,
! [A,B,C] :
( ~ element(C,powerset(cartesian_product2(A,B)))
| relation(C) ),
inference(orientation,[status(thm)],[cc1_relset_1]) ).
fof(cc1_relat_1,axiom,
! [A] :
( empty(A)
=> relation(A) ),
input ).
fof(cc1_relat_1_0,plain,
! [A] :
( ~ empty(A)
| relation(A) ),
inference(orientation,[status(thm)],[cc1_relat_1]) ).
fof(cc1_funct_1,axiom,
! [A] :
( empty(A)
=> function(A) ),
input ).
fof(cc1_funct_1_0,plain,
! [A] :
( ~ empty(A)
| function(A) ),
inference(orientation,[status(thm)],[cc1_funct_1]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( in(A,B)
=> ~ in(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ in(A,B)
| ~ in(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> ~ in(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| ~ in(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| function(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom2(A)
| relation(A) ),
inference(fold_definition,[status(thm)],[cc1_relat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [C,B,A] :
( lhs_atom3(C,B,A)
<=> ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [A,B,C] :
( lhs_atom3(C,B,A)
| relation(C) ),
inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> ~ rel_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( rel_str(B)
=> ( subrelstr(B,A)
<=> ( subset(the_carrier(B),the_carrier(A))
& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) ),
inference(fold_definition,[status(thm)],[d13_yellow_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> ~ one_sorted_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom5(A)
| ! [B] :
( net_str(B,A)
=> ! [C] :
( net_str(C,A)
=> ( subnetstr(C,A,B)
<=> ( subrelstr(C,B)
& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) ) ),
inference(fold_definition,[status(thm)],[d8_yellow_6_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_7,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_8,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> ~ relation(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_9,plain,
! [A,B] :
( lhs_atom7(A)
| relation(relation_dom_restriction(A,B)) ),
inference(fold_definition,[status(thm)],[dt_k7_relat_1_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [C,B,A] :
( lhs_atom8(C,B,A)
<=> ~ relation_of2(C,A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_10,plain,
! [A,B,C,D] :
( lhs_atom8(C,B,A)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(A,B,C,D),A,B) ),
inference(fold_definition,[status(thm)],[dt_k8_relset_1_0,def_lhs_atom8]) ).
fof(to_be_clausified_11,plain,
! [A] :
( lhs_atom4(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_orders_2_0,def_lhs_atom4]) ).
fof(to_be_clausified_12,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom5(A)
| ! [B] :
( net_str(B,A)
=> rel_str(B) ) ),
inference(fold_definition,[status(thm)],[dt_l1_waybel_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_14,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_15,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_16,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( subrelstr(B,A)
=> rel_str(B) ) ),
inference(fold_definition,[status(thm)],[dt_m1_yellow_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom9,axiom,
! [C,B,A] :
( lhs_atom9(C,B,A)
<=> ~ relation_of2_as_subset(C,A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [A,B,C] :
( lhs_atom9(C,B,A)
| element(C,powerset(cartesian_product2(A,B))) ),
inference(fold_definition,[status(thm)],[dt_m2_relset_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom4(A)
| relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
inference(fold_definition,[status(thm)],[dt_u1_orders_2_0,def_lhs_atom4]) ).
fof(to_be_clausified_19,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom5(A)
| ? [B] : net_str(B,A) ),
inference(fold_definition,[status(thm)],[existence_l1_waybel_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_21,plain,
! [A] :
( lhs_atom4(A)
| ? [B] : subrelstr(B,A) ),
inference(fold_definition,[status(thm)],[existence_m1_yellow_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> relation_empty_yielding(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_2,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> relation(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_1,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> empty(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> ~ empty(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [A] :
( lhs_atom13(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom13]) ).
fof(to_be_clausified_26,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_1,def_lhs_atom11]) ).
fof(to_be_clausified_27,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_0,def_lhs_atom12]) ).
fof(def_lhs_atom14,axiom,
! [B,A] :
( lhs_atom14(B,A)
<=> ~ empty(cartesian_product2(A,B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [A,B] :
( lhs_atom14(B,A)
| ~ ( ~ empty(A)
& ~ empty(B) ) ),
inference(fold_definition,[status(thm)],[fc4_subset_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [A] :
( lhs_atom15(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom15]) ).
fof(to_be_clausified_30,plain,
! [A,B,C,D] :
( lhs_atom8(C,B,A)
| relation_dom_restr_as_relation_of(A,B,C,D) = relation_dom_restriction(C,D) ),
inference(fold_definition,[status(thm)],[redefinition_k8_relset_1_0,def_lhs_atom8]) ).
fof(to_be_clausified_31,plain,
! [A,B,C] :
( lhs_atom9(C,B,A)
| relation_of2(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom9]) ).
fof(def_lhs_atom16,axiom,
! [C,B,A] :
( lhs_atom16(C,B,A)
<=> relation_of2_as_subset(C,A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_32,plain,
! [A,B,C] :
( lhs_atom16(C,B,A)
| ~ relation_of2(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [A] :
( lhs_atom17(A)
<=> subset(A,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_33,plain,
! [A] :
( lhs_atom17(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom17]) ).
fof(to_be_clausified_34,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom18,axiom,
! [B,A] :
( lhs_atom18(B,A)
<=> ~ element(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_35,plain,
! [A,B] :
( lhs_atom18(B,A)
| empty(B)
| in(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ element(A,powerset(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_36,plain,
! [A,B] :
( lhs_atom19(B,A)
| subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [B,A] :
( lhs_atom20(B,A)
<=> element(A,powerset(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_37,plain,
! [A,B] :
( lhs_atom20(B,A)
| ~ subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [C,A] :
( lhs_atom21(C,A)
<=> element(A,C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_38,plain,
! [A,B,C] :
( lhs_atom21(C,A)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom21]) ).
fof(to_be_clausified_39,plain,
! [A] :
( lhs_atom2(A)
| A = empty_set ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( net_str(X1,X2)
=> ! [X3] :
( net_str(X3,X2)
=> ( subnetstr(X3,X2,X1)
<=> ( subrelstr(X3,X1)
& the_mapping(X2,X3) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X3)) ) ) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_1,axiom,
! [X4,X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(X2,X1,X3,X4),X2,X1) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_2,axiom,
! [X4,X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_dom_restr_as_relation_of(X2,X1,X3,X4) = relation_dom_restriction(X3,X4) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_3,axiom,
! [X3,X1,X2] :
( lhs_atom16(X3,X1,X2)
| ~ relation_of2(X3,X2,X1) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X2,X1))) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_5,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X2)
<=> ( subset(the_carrier(X1),the_carrier(X2))
& subset(the_InternalRel(X1),the_InternalRel(X2)) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_6,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| relation_of2(X3,X2,X1) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_7,axiom,
! [X2] :
( lhs_atom4(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_8,axiom,
! [X3,X1,X2] :
( lhs_atom21(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_9,axiom,
! [X3,X1,X2] :
( lhs_atom3(X3,X1,X2)
| relation(X3) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ subset(X2,X1) ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| relation(relation_dom_restriction(X2,X1)) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( subrelstr(X1,X2)
=> rel_str(X1) ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( net_str(X1,X2)
=> rel_str(X1) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom15(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_17,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| subset(X2,X1) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_18,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom4(X2)
| ? [X1] : subrelstr(X1,X2) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom5(X2)
| ? [X1] : net_str(X1,X2) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_21,axiom,
! [X1,X2] :
( lhs_atom14(X1,X2)
| ~ ( ~ empty(X2)
& ~ empty(X1) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom4(X2)
| one_sorted_str(X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_23,axiom,
! [X2] :
( lhs_atom2(X2)
| relation(X2) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_24,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_25,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_26,axiom,
! [X2] :
( lhs_atom17(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_27,axiom,
! [X2] :
( lhs_atom13(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_28,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_29,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_30,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_31,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_32,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_33,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_34,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_35,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_36,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_37,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_38,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_39,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( net_str(X1,X2)
=> ! [X3] :
( net_str(X3,X2)
=> ( subnetstr(X3,X2,X1)
<=> ( subrelstr(X3,X1)
& the_mapping(X2,X3) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X3)) ) ) ) ) ),
c_0_0 ).
fof(c_0_41,axiom,
! [X4,X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(X2,X1,X3,X4),X2,X1) ),
c_0_1 ).
fof(c_0_42,axiom,
! [X4,X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_dom_restr_as_relation_of(X2,X1,X3,X4) = relation_dom_restriction(X3,X4) ),
c_0_2 ).
fof(c_0_43,plain,
! [X3,X1,X2] :
( lhs_atom16(X3,X1,X2)
| ~ relation_of2(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_44,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X2,X1))) ),
c_0_4 ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X2)
<=> ( subset(the_carrier(X1),the_carrier(X2))
& subset(the_InternalRel(X1),the_InternalRel(X2)) ) ) ) ),
c_0_5 ).
fof(c_0_46,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| relation_of2(X3,X2,X1) ),
c_0_6 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom4(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
c_0_7 ).
fof(c_0_48,axiom,
! [X3,X1,X2] :
( lhs_atom21(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
c_0_8 ).
fof(c_0_49,axiom,
! [X3,X1,X2] :
( lhs_atom3(X3,X1,X2)
| relation(X3) ),
c_0_9 ).
fof(c_0_50,plain,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_51,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_52,axiom,
! [X1,X2] :
( lhs_atom7(X2)
| relation(relation_dom_restriction(X2,X1)) ),
c_0_12 ).
fof(c_0_53,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_13 ).
fof(c_0_54,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( subrelstr(X1,X2)
=> rel_str(X1) ) ),
c_0_14 ).
fof(c_0_55,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( net_str(X1,X2)
=> rel_str(X1) ) ),
c_0_15 ).
fof(c_0_56,plain,
! [X2] :
( lhs_atom15(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_57,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| subset(X2,X1) ),
c_0_17 ).
fof(c_0_58,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_18 ).
fof(c_0_59,axiom,
! [X2] :
( lhs_atom4(X2)
| ? [X1] : subrelstr(X1,X2) ),
c_0_19 ).
fof(c_0_60,axiom,
! [X2] :
( lhs_atom5(X2)
| ? [X1] : net_str(X1,X2) ),
c_0_20 ).
fof(c_0_61,plain,
! [X1,X2] :
( lhs_atom14(X1,X2)
| ~ ( ~ empty(X2)
& ~ empty(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_62,axiom,
! [X2] :
( lhs_atom4(X2)
| one_sorted_str(X2) ),
c_0_22 ).
fof(c_0_63,axiom,
! [X2] :
( lhs_atom2(X2)
| relation(X2) ),
c_0_23 ).
fof(c_0_64,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
c_0_24 ).
fof(c_0_65,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
c_0_25 ).
fof(c_0_66,plain,
! [X2] : lhs_atom17(X2),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_67,plain,
! [X2] : lhs_atom13(X2),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_68,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_69,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_70,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_71,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_72,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_73,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_74,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_75,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_76,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_77,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_78,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_79,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_80,plain,
! [X4,X5,X6] :
( ( subrelstr(X6,X5)
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| lhs_atom5(X4) )
& ( the_mapping(X4,X6) = relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| ~ subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| lhs_atom5(X4) )
& ( ~ subrelstr(X6,X5)
| the_mapping(X4,X6) != relation_dom_restr_as_relation_of(the_carrier(X5),the_carrier(X4),the_mapping(X4,X5),the_carrier(X6))
| subnetstr(X6,X4,X5)
| ~ net_str(X6,X4)
| ~ net_str(X5,X4)
| lhs_atom5(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_81,plain,
! [X5,X6,X7,X8] :
( lhs_atom8(X6,X7,X8)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(X8,X7,X6,X5),X8,X7) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_82,plain,
! [X5,X6,X7,X8] :
( lhs_atom8(X6,X7,X8)
| relation_dom_restr_as_relation_of(X8,X7,X6,X5) = relation_dom_restriction(X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_83,plain,
! [X4,X5,X6] :
( lhs_atom16(X4,X5,X6)
| ~ relation_of2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( lhs_atom9(X4,X5,X6)
| element(X4,powerset(cartesian_product2(X6,X5))) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_85,plain,
! [X3,X4] :
( ( subset(the_carrier(X4),the_carrier(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| lhs_atom4(X3) )
& ( subset(the_InternalRel(X4),the_InternalRel(X3))
| ~ subrelstr(X4,X3)
| ~ rel_str(X4)
| lhs_atom4(X3) )
& ( ~ subset(the_carrier(X4),the_carrier(X3))
| ~ subset(the_InternalRel(X4),the_InternalRel(X3))
| subrelstr(X4,X3)
| ~ rel_str(X4)
| lhs_atom4(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( lhs_atom9(X4,X5,X6)
| relation_of2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_87,plain,
! [X3] :
( lhs_atom4(X3)
| relation_of2_as_subset(the_InternalRel(X3),the_carrier(X3),the_carrier(X3)) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_88,plain,
! [X4,X5,X6] :
( lhs_atom21(X4,X6)
| ~ in(X6,X5)
| ~ element(X5,powerset(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_89,plain,
! [X4,X5,X6] :
( lhs_atom3(X4,X5,X6)
| relation(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_49])])]) ).
fof(c_0_90,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| ~ subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_91,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_92,plain,
! [X3,X4] :
( lhs_atom7(X4)
| relation(relation_dom_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_93,plain,
! [X3,X4] :
( lhs_atom18(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_94,plain,
! [X3,X4] :
( lhs_atom4(X3)
| ~ subrelstr(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_95,plain,
! [X3,X4] :
( lhs_atom5(X3)
| ~ net_str(X4,X3)
| rel_str(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_96,plain,
! [X3] :
( ( element(esk3_1(X3),powerset(X3))
| lhs_atom15(X3) )
& ( ~ empty(esk3_1(X3))
| lhs_atom15(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])])]) ).
fof(c_0_97,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_98,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_99,plain,
! [X3] :
( lhs_atom4(X3)
| subrelstr(esk2_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_100,plain,
! [X3] :
( lhs_atom5(X3)
| net_str(esk1_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).
fof(c_0_101,plain,
! [X3,X4] :
( lhs_atom14(X3,X4)
| empty(X4)
| empty(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_102,plain,
! [X3] :
( lhs_atom4(X3)
| one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_103,plain,
! [X3] :
( lhs_atom2(X3)
| relation(X3) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_104,plain,
! [X3] :
( lhs_atom2(X3)
| function(X3) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_105,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_106,plain,
! [X3] : lhs_atom17(X3),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_107,plain,
! [X3] : lhs_atom13(X3),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_108,plain,
lhs_atom12,
c_0_68 ).
fof(c_0_109,plain,
lhs_atom11,
c_0_69 ).
fof(c_0_110,plain,
lhs_atom12,
c_0_70 ).
fof(c_0_111,plain,
lhs_atom11,
c_0_71 ).
fof(c_0_112,plain,
lhs_atom10,
c_0_72 ).
fof(c_0_113,plain,
lhs_atom6,
c_0_73 ).
fof(c_0_114,plain,
lhs_atom6,
c_0_74 ).
fof(c_0_115,plain,
lhs_atom6,
c_0_75 ).
fof(c_0_116,plain,
lhs_atom6,
c_0_76 ).
fof(c_0_117,plain,
lhs_atom6,
c_0_77 ).
fof(c_0_118,plain,
lhs_atom6,
c_0_78 ).
fof(c_0_119,plain,
lhs_atom6,
c_0_79 ).
cnf(c_0_120,plain,
( lhs_atom5(X1)
| subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| the_mapping(X1,X3) != relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))
| ~ subrelstr(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_121,plain,
( relation_of2_as_subset(relation_dom_restr_as_relation_of(X1,X2,X3,X4),X1,X2)
| lhs_atom8(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_122,plain,
( lhs_atom5(X1)
| the_mapping(X1,X3) = relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3))
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_123,plain,
( relation_dom_restr_as_relation_of(X1,X2,X3,X4) = relation_dom_restriction(X3,X4)
| lhs_atom8(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
( lhs_atom5(X1)
| subrelstr(X3,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_125,plain,
( lhs_atom16(X1,X3,X2)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_126,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| lhs_atom9(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_127,plain,
( lhs_atom4(X1)
| subrelstr(X2,X1)
| ~ rel_str(X2)
| ~ subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ subset(the_carrier(X2),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_128,plain,
( relation_of2(X1,X2,X3)
| lhs_atom9(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_129,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_130,plain,
( lhs_atom21(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_131,plain,
( lhs_atom4(X1)
| subset(the_carrier(X2),the_carrier(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_132,plain,
( lhs_atom4(X1)
| subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_133,plain,
( relation(X1)
| lhs_atom3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_134,plain,
( lhs_atom20(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_135,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_136,plain,
( relation(relation_dom_restriction(X1,X2))
| lhs_atom7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_137,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_138,plain,
( rel_str(X1)
| lhs_atom4(X2)
| ~ subrelstr(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_139,plain,
( rel_str(X1)
| lhs_atom5(X2)
| ~ net_str(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_140,plain,
( lhs_atom15(X1)
| element(esk3_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_141,plain,
( subset(X1,X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_142,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_143,plain,
( subrelstr(esk2_1(X1),X1)
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_144,plain,
( net_str(esk1_1(X1),X1)
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_145,plain,
( empty(X1)
| empty(X2)
| lhs_atom14(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_146,plain,
( lhs_atom15(X1)
| ~ empty(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_147,plain,
( one_sorted_str(X1)
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_148,plain,
( relation(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_149,plain,
( function(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_150,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_151,plain,
lhs_atom17(X1),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_152,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_153,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_154,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_155,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_156,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_157,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_158,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_159,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_160,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_161,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_162,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_163,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_164,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_165,plain,
( lhs_atom5(X1)
| subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) != the_mapping(X1,X3)
| ~ subrelstr(X3,X2) ),
c_0_120,
[final] ).
cnf(c_0_166,plain,
( relation_of2_as_subset(relation_dom_restr_as_relation_of(X1,X2,X3,X4),X1,X2)
| lhs_atom8(X3,X2,X1) ),
c_0_121,
[final] ).
cnf(c_0_167,plain,
( lhs_atom5(X1)
| relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) = the_mapping(X1,X3)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
c_0_122,
[final] ).
cnf(c_0_168,plain,
( relation_dom_restr_as_relation_of(X1,X2,X3,X4) = relation_dom_restriction(X3,X4)
| lhs_atom8(X3,X2,X1) ),
c_0_123,
[final] ).
cnf(c_0_169,plain,
( lhs_atom5(X1)
| subrelstr(X3,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
c_0_124,
[final] ).
cnf(c_0_170,plain,
( lhs_atom16(X1,X3,X2)
| ~ relation_of2(X1,X2,X3) ),
c_0_125,
[final] ).
cnf(c_0_171,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| lhs_atom9(X1,X3,X2) ),
c_0_126,
[final] ).
cnf(c_0_172,plain,
( lhs_atom4(X1)
| subrelstr(X2,X1)
| ~ rel_str(X2)
| ~ subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ subset(the_carrier(X2),the_carrier(X1)) ),
c_0_127,
[final] ).
cnf(c_0_173,plain,
( relation_of2(X1,X2,X3)
| lhs_atom9(X1,X3,X2) ),
c_0_128,
[final] ).
cnf(c_0_174,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| lhs_atom4(X1) ),
c_0_129,
[final] ).
cnf(c_0_175,plain,
( lhs_atom21(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
c_0_130,
[final] ).
cnf(c_0_176,plain,
( lhs_atom4(X1)
| subset(the_carrier(X2),the_carrier(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
c_0_131,
[final] ).
cnf(c_0_177,plain,
( lhs_atom4(X1)
| subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
c_0_132,
[final] ).
cnf(c_0_178,plain,
( relation(X1)
| lhs_atom3(X1,X2,X3) ),
c_0_133,
[final] ).
cnf(c_0_179,plain,
( lhs_atom20(X2,X1)
| ~ subset(X1,X2) ),
c_0_134,
[final] ).
cnf(c_0_180,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_135,
[final] ).
cnf(c_0_181,plain,
( relation(relation_dom_restriction(X1,X2))
| lhs_atom7(X1) ),
c_0_136,
[final] ).
cnf(c_0_182,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom18(X2,X1) ),
c_0_137,
[final] ).
cnf(c_0_183,plain,
( rel_str(X1)
| lhs_atom4(X2)
| ~ subrelstr(X1,X2) ),
c_0_138,
[final] ).
cnf(c_0_184,plain,
( rel_str(X1)
| lhs_atom5(X2)
| ~ net_str(X1,X2) ),
c_0_139,
[final] ).
cnf(c_0_185,plain,
( lhs_atom15(X1)
| element(esk3_1(X1),powerset(X1)) ),
c_0_140,
[final] ).
cnf(c_0_186,plain,
( subset(X1,X2)
| lhs_atom19(X2,X1) ),
c_0_141,
[final] ).
cnf(c_0_187,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_142,
[final] ).
cnf(c_0_188,plain,
( subrelstr(esk2_1(X1),X1)
| lhs_atom4(X1) ),
c_0_143,
[final] ).
cnf(c_0_189,plain,
( net_str(esk1_1(X1),X1)
| lhs_atom5(X1) ),
c_0_144,
[final] ).
cnf(c_0_190,plain,
( empty(X1)
| empty(X2)
| lhs_atom14(X1,X2) ),
c_0_145,
[final] ).
cnf(c_0_191,plain,
( lhs_atom15(X1)
| ~ empty(esk3_1(X1)) ),
c_0_146,
[final] ).
cnf(c_0_192,plain,
( one_sorted_str(X1)
| lhs_atom4(X1) ),
c_0_147,
[final] ).
cnf(c_0_193,plain,
( relation(X1)
| lhs_atom2(X1) ),
c_0_148,
[final] ).
cnf(c_0_194,plain,
( function(X1)
| lhs_atom2(X1) ),
c_0_149,
[final] ).
cnf(c_0_195,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
c_0_150,
[final] ).
cnf(c_0_196,plain,
lhs_atom17(X1),
c_0_151,
[final] ).
cnf(c_0_197,plain,
lhs_atom13(X1),
c_0_152,
[final] ).
cnf(c_0_198,plain,
lhs_atom12,
c_0_153,
[final] ).
cnf(c_0_199,plain,
lhs_atom11,
c_0_154,
[final] ).
cnf(c_0_200,plain,
lhs_atom12,
c_0_155,
[final] ).
cnf(c_0_201,plain,
lhs_atom11,
c_0_156,
[final] ).
cnf(c_0_202,plain,
lhs_atom10,
c_0_157,
[final] ).
cnf(c_0_203,plain,
lhs_atom6,
c_0_158,
[final] ).
cnf(c_0_204,plain,
lhs_atom6,
c_0_159,
[final] ).
cnf(c_0_205,plain,
lhs_atom6,
c_0_160,
[final] ).
cnf(c_0_206,plain,
lhs_atom6,
c_0_161,
[final] ).
cnf(c_0_207,plain,
lhs_atom6,
c_0_162,
[final] ).
cnf(c_0_208,plain,
lhs_atom6,
c_0_163,
[final] ).
cnf(c_0_209,plain,
lhs_atom6,
c_0_164,
[final] ).
% End CNF derivation
cnf(c_0_165_0,axiom,
( ~ one_sorted_str(X1)
| subnetstr(X3,X1,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) != the_mapping(X1,X3)
| ~ subrelstr(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom5]) ).
cnf(c_0_166_0,axiom,
( ~ relation_of2(X3,X1,X2)
| relation_of2_as_subset(relation_dom_restr_as_relation_of(X1,X2,X3,X4),X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom8]) ).
cnf(c_0_167_0,axiom,
( ~ one_sorted_str(X1)
| relation_dom_restr_as_relation_of(the_carrier(X2),the_carrier(X1),the_mapping(X1,X2),the_carrier(X3)) = the_mapping(X1,X3)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom5]) ).
cnf(c_0_168_0,axiom,
( ~ relation_of2(X3,X1,X2)
| relation_dom_restr_as_relation_of(X1,X2,X3,X4) = relation_dom_restriction(X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom8]) ).
cnf(c_0_169_0,axiom,
( ~ one_sorted_str(X1)
| subrelstr(X3,X2)
| ~ net_str(X2,X1)
| ~ net_str(X3,X1)
| ~ subnetstr(X3,X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom5]) ).
cnf(c_0_170_0,axiom,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom16]) ).
cnf(c_0_171_0,axiom,
( ~ relation_of2_as_subset(X1,X2,X3)
| element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom9]) ).
cnf(c_0_172_0,axiom,
( ~ rel_str(X1)
| subrelstr(X2,X1)
| ~ rel_str(X2)
| ~ subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ subset(the_carrier(X2),the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom4]) ).
cnf(c_0_173_0,axiom,
( ~ relation_of2_as_subset(X1,X2,X3)
| relation_of2(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom9]) ).
cnf(c_0_174_0,axiom,
( ~ rel_str(X1)
| relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom4]) ).
cnf(c_0_175_0,axiom,
( element(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom21]) ).
cnf(c_0_176_0,axiom,
( ~ rel_str(X1)
| subset(the_carrier(X2),the_carrier(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom4]) ).
cnf(c_0_177_0,axiom,
( ~ rel_str(X1)
| subset(the_InternalRel(X2),the_InternalRel(X1))
| ~ rel_str(X2)
| ~ subrelstr(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom4]) ).
cnf(c_0_178_0,axiom,
( ~ element(X1,powerset(cartesian_product2(X3,X2)))
| relation(X1) ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom3]) ).
cnf(c_0_179_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom20]) ).
cnf(c_0_180_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom1]) ).
cnf(c_0_181_0,axiom,
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom7]) ).
cnf(c_0_182_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom18]) ).
cnf(c_0_183_0,axiom,
( ~ rel_str(X2)
| rel_str(X1)
| ~ subrelstr(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom4]) ).
cnf(c_0_184_0,axiom,
( ~ one_sorted_str(X2)
| rel_str(X1)
| ~ net_str(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom5]) ).
cnf(c_0_185_0,axiom,
( empty(X1)
| element(sk1_esk3_1(X1),powerset(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom15]) ).
cnf(c_0_186_0,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom19]) ).
cnf(c_0_187_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom1]) ).
cnf(c_0_188_0,axiom,
( ~ rel_str(X1)
| subrelstr(sk1_esk2_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom4]) ).
cnf(c_0_189_0,axiom,
( ~ one_sorted_str(X1)
| net_str(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom5]) ).
cnf(c_0_190_0,axiom,
( ~ empty(cartesian_product2(X2,X1))
| empty(X1)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom14]) ).
cnf(c_0_191_0,axiom,
( empty(X1)
| ~ empty(sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom15]) ).
cnf(c_0_192_0,axiom,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom4]) ).
cnf(c_0_193_0,axiom,
( ~ empty(X1)
| relation(X1) ),
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom2]) ).
cnf(c_0_194_0,axiom,
( ~ empty(X1)
| function(X1) ),
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom2]) ).
cnf(c_0_195_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom2]) ).
cnf(c_0_196_0,axiom,
subset(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom17]) ).
cnf(c_0_197_0,axiom,
~ empty(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom13]) ).
cnf(c_0_198_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom12]) ).
cnf(c_0_199_0,axiom,
relation(empty_set),
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom11]) ).
cnf(c_0_200_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom12]) ).
cnf(c_0_201_0,axiom,
relation(empty_set),
inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom11]) ).
cnf(c_0_202_0,axiom,
relation_empty_yielding(empty_set),
inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom10]) ).
cnf(c_0_203_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom6]) ).
cnf(c_0_204_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom6]) ).
cnf(c_0_205_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom6]) ).
cnf(c_0_206_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom6]) ).
cnf(c_0_207_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom6]) ).
cnf(c_0_208_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom6]) ).
cnf(c_0_209_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom6]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
file('<stdin>',dt_m1_yellow_6) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ( function(the_mapping(X1,X2))
& quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ) ),
file('<stdin>',dt_u1_waybel_0) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ? [X3] : subnetstr(X3,X1,X2) ),
file('<stdin>',existence_m1_yellow_6) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
? [X3] : relation_of2(X3,X1,X2),
file('<stdin>',existence_m1_relset_1) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
? [X3] : relation_of2_as_subset(X3,X1,X2),
file('<stdin>',existence_m2_relset_1) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( relation(X1)
& relation_empty_yielding(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& relation_empty_yielding(relation_dom_restriction(X1,X2)) ) ),
file('<stdin>',fc13_relat_1) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('<stdin>',fc4_funct_1) ).
fof(c_0_8_009,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_9_010,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_10_011,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_11_012,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_13_014,axiom,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_14_015,axiom,
? [X1] : rel_str(X1),
file('<stdin>',existence_l1_orders_2) ).
fof(c_0_15_016,axiom,
? [X1] : one_sorted_str(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_16_017,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_17_018,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc1_pboole) ).
fof(c_0_18_019,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_19_020,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_20_021,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_21_022,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
file('<stdin>',rc3_relat_1) ).
fof(c_0_22_023,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
file('<stdin>',rc4_funct_1) ).
fof(c_0_23_024,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> net_str(X3,X1) ) ),
c_0_0 ).
fof(c_0_24_025,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ( function(the_mapping(X1,X2))
& quasi_total(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1))
& relation_of2_as_subset(the_mapping(X1,X2),the_carrier(X2),the_carrier(X1)) ) ),
c_0_1 ).
fof(c_0_25_026,axiom,
! [X1,X2] :
( ( one_sorted_str(X1)
& net_str(X2,X1) )
=> ? [X3] : subnetstr(X3,X1,X2) ),
c_0_2 ).
fof(c_0_26_027,axiom,
! [X1,X2] :
? [X3] : relation_of2(X3,X1,X2),
c_0_3 ).
fof(c_0_27_028,axiom,
! [X1,X2] :
? [X3] : relation_of2_as_subset(X3,X1,X2),
c_0_4 ).
fof(c_0_28_029,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_5 ).
fof(c_0_29_030,axiom,
! [X1,X2] :
( ( relation(X1)
& relation_empty_yielding(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& relation_empty_yielding(relation_dom_restriction(X1,X2)) ) ),
c_0_6 ).
fof(c_0_30_031,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
c_0_7 ).
fof(c_0_31_032,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_8 ).
fof(c_0_32_033,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
c_0_9 ).
fof(c_0_33_034,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_10 ).
fof(c_0_34_035,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_11 ).
fof(c_0_35_036,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_12 ).
fof(c_0_36_037,plain,
? [X1] :
( ~ empty(X1)
& relation(X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_37_038,axiom,
? [X1] : rel_str(X1),
c_0_14 ).
fof(c_0_38_039,axiom,
? [X1] : one_sorted_str(X1),
c_0_15 ).
fof(c_0_39_040,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_16 ).
fof(c_0_40_041,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_17 ).
fof(c_0_41_042,axiom,
? [X1] :
( empty(X1)
& relation(X1) ),
c_0_18 ).
fof(c_0_42_043,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_19 ).
fof(c_0_43_044,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_20 ).
fof(c_0_44_045,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1) ),
c_0_21 ).
fof(c_0_45_046,axiom,
? [X1] :
( relation(X1)
& relation_empty_yielding(X1)
& function(X1) ),
c_0_22 ).
fof(c_0_46_047,plain,
! [X4,X5,X6] :
( ~ one_sorted_str(X4)
| ~ net_str(X5,X4)
| ~ subnetstr(X6,X4,X5)
| net_str(X6,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ( function(the_mapping(X3,X4))
| ~ one_sorted_str(X3)
| ~ net_str(X4,X3) )
& ( quasi_total(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3))
| ~ one_sorted_str(X3)
| ~ net_str(X4,X3) )
& ( relation_of2_as_subset(the_mapping(X3,X4),the_carrier(X4),the_carrier(X3))
| ~ one_sorted_str(X3)
| ~ net_str(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_48_049,plain,
! [X4,X5] :
( ~ one_sorted_str(X4)
| ~ net_str(X5,X4)
| subnetstr(esk11_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_49_050,plain,
! [X4,X5] : relation_of2(esk13_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_50_051,plain,
! [X4,X5] : relation_of2_as_subset(esk10_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_51_052,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_52_053,plain,
! [X3,X4,X5] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ relation_empty_yielding(X3) )
& ( relation_empty_yielding(relation_dom_restriction(X3,X5))
| ~ relation(X3)
| ~ relation_empty_yielding(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_53_054,plain,
! [X3,X4,X5] :
( ( relation(relation_dom_restriction(X3,X4))
| ~ relation(X3)
| ~ function(X3) )
& ( function(relation_dom_restriction(X3,X5))
| ~ relation(X3)
| ~ function(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).
fof(c_0_54_055,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_55_056,plain,
! [X3] :
( element(esk4_1(X3),powerset(X3))
& empty(esk4_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_56_057,plain,
! [X2] :
( ( relation(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( function(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) )
& ( one_to_one(X2)
| ~ relation(X2)
| ~ empty(X2)
| ~ function(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_57_058,plain,
! [X3] : element(esk12_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
fof(c_0_58_059,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_59_060,plain,
( ~ empty(esk5_0)
& relation(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
fof(c_0_60_061,plain,
rel_str(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_61_062,plain,
one_sorted_str(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_62_063,plain,
( relation(esk9_0)
& function(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
fof(c_0_63_064,plain,
( relation(esk8_0)
& relation_empty_yielding(esk8_0)
& function(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
fof(c_0_64_065,plain,
( empty(esk7_0)
& relation(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_65_066,plain,
( relation(esk6_0)
& empty(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_66_067,plain,
( relation(esk3_0)
& function(esk3_0)
& one_to_one(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
fof(c_0_67_068,plain,
( relation(esk2_0)
& relation_empty_yielding(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_68_069,plain,
( relation(esk1_0)
& relation_empty_yielding(esk1_0)
& function(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
cnf(c_0_69_070,plain,
( net_str(X1,X2)
| ~ subnetstr(X1,X2,X3)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70_071,plain,
( quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71_072,plain,
( relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_72_073,plain,
( subnetstr(esk11_2(X1,X2),X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73_074,plain,
relation_of2(esk13_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74_075,plain,
relation_of2_as_subset(esk10_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75_076,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76_077,plain,
( function(the_mapping(X2,X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_77_078,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_78_079,plain,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79_080,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80_081,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81_082,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82_083,plain,
element(esk4_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83_084,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_84_085,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_85_086,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_86_087,plain,
element(esk12_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_87_088,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_88_089,plain,
empty(esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_89_090,plain,
~ empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_90_091,plain,
rel_str(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_91_092,plain,
one_sorted_str(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_92_093,plain,
relation(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_93_094,plain,
function(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_94_095,plain,
relation(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_95_096,plain,
relation_empty_yielding(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_96_097,plain,
function(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_97_098,plain,
empty(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_98_099,plain,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_99_100,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_100_101,plain,
empty(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_101_102,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_102_103,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_103_104,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_104_105,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_105_106,plain,
one_to_one(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_106_107,plain,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_107_108,plain,
relation_empty_yielding(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_108_109,plain,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_109_110,plain,
relation_empty_yielding(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_110_111,plain,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_111_112,plain,
( net_str(X1,X2)
| ~ subnetstr(X1,X2,X3)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
c_0_69,
[final] ).
cnf(c_0_112_113,plain,
( quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
c_0_70,
[final] ).
cnf(c_0_113_114,plain,
( relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
c_0_71,
[final] ).
cnf(c_0_114_115,plain,
( subnetstr(esk11_2(X1,X2),X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
c_0_72,
[final] ).
cnf(c_0_115_116,plain,
relation_of2(esk13_2(X1,X2),X1,X2),
c_0_73,
[final] ).
cnf(c_0_116_117,plain,
relation_of2_as_subset(esk10_2(X1,X2),X1,X2),
c_0_74,
[final] ).
cnf(c_0_117_118,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_75,
[final] ).
cnf(c_0_118_119,plain,
( function(the_mapping(X2,X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
c_0_76,
[final] ).
cnf(c_0_119_120,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
c_0_77,
[final] ).
cnf(c_0_120_121,plain,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
c_0_78,
[final] ).
cnf(c_0_121_122,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
c_0_79,
[final] ).
cnf(c_0_122_123,plain,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
c_0_80,
[final] ).
cnf(c_0_123_124,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_81,
[final] ).
cnf(c_0_124_125,plain,
element(esk4_1(X1),powerset(X1)),
c_0_82,
[final] ).
cnf(c_0_125_126,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_83,
[final] ).
cnf(c_0_126_127,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_84,
[final] ).
cnf(c_0_127_128,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_85,
[final] ).
cnf(c_0_128_129,plain,
element(esk12_1(X1),X1),
c_0_86,
[final] ).
cnf(c_0_129_130,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_87,
[final] ).
cnf(c_0_130_131,plain,
empty(esk4_1(X1)),
c_0_88,
[final] ).
cnf(c_0_131_132,plain,
~ empty(esk5_0),
c_0_89,
[final] ).
cnf(c_0_132_133,plain,
rel_str(esk15_0),
c_0_90,
[final] ).
cnf(c_0_133_134,plain,
one_sorted_str(esk14_0),
c_0_91,
[final] ).
cnf(c_0_134_135,plain,
relation(esk9_0),
c_0_92,
[final] ).
cnf(c_0_135_136,plain,
function(esk9_0),
c_0_93,
[final] ).
cnf(c_0_136_137,plain,
relation(esk8_0),
c_0_94,
[final] ).
cnf(c_0_137_138,plain,
relation_empty_yielding(esk8_0),
c_0_95,
[final] ).
cnf(c_0_138_139,plain,
function(esk8_0),
c_0_96,
[final] ).
cnf(c_0_139_140,plain,
empty(esk7_0),
c_0_97,
[final] ).
cnf(c_0_140_141,plain,
relation(esk7_0),
c_0_98,
[final] ).
cnf(c_0_141_142,plain,
relation(esk6_0),
c_0_99,
[final] ).
cnf(c_0_142_143,plain,
empty(esk6_0),
c_0_100,
[final] ).
cnf(c_0_143_144,plain,
function(esk6_0),
c_0_101,
[final] ).
cnf(c_0_144_145,plain,
relation(esk5_0),
c_0_102,
[final] ).
cnf(c_0_145_146,plain,
relation(esk3_0),
c_0_103,
[final] ).
cnf(c_0_146_147,plain,
function(esk3_0),
c_0_104,
[final] ).
cnf(c_0_147_148,plain,
one_to_one(esk3_0),
c_0_105,
[final] ).
cnf(c_0_148_149,plain,
relation(esk2_0),
c_0_106,
[final] ).
cnf(c_0_149_150,plain,
relation_empty_yielding(esk2_0),
c_0_107,
[final] ).
cnf(c_0_150_151,plain,
relation(esk1_0),
c_0_108,
[final] ).
cnf(c_0_151_152,plain,
relation_empty_yielding(esk1_0),
c_0_109,
[final] ).
cnf(c_0_152_153,plain,
function(esk1_0),
c_0_110,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_111_0,axiom,
( net_str(X1,X2)
| ~ subnetstr(X1,X2,X3)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ subnetstr(X1,X2,X3)
| net_str(X1,X2)
| ~ net_str(X3,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ net_str(X3,X2)
| ~ subnetstr(X1,X2,X3)
| net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ one_sorted_str(X2)
| ~ net_str(X3,X2)
| ~ subnetstr(X1,X2,X3)
| net_str(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ net_str(X1,X2)
| quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| quasi_total(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( ~ net_str(X1,X2)
| relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2))
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| relation_of2_as_subset(the_mapping(X2,X1),the_carrier(X1),the_carrier(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( subnetstr(sk2_esk11_2(X1,X2),X1,X2)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( ~ net_str(X2,X1)
| subnetstr(sk2_esk11_2(X1,X2),X1,X2)
| ~ one_sorted_str(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| subnetstr(sk2_esk11_2(X1,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_117_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( function(the_mapping(X2,X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_1,axiom,
( ~ net_str(X1,X2)
| function(the_mapping(X2,X1))
| ~ one_sorted_str(X2) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_2,axiom,
( ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| function(the_mapping(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( relation(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( ~ relation_empty_yielding(X1)
| relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ relation(X1)
| ~ relation_empty_yielding(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation_empty_yielding(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ relation_empty_yielding(X1)
| relation_empty_yielding(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_2,axiom,
( ~ relation(X1)
| ~ relation_empty_yielding(X1)
| relation_empty_yielding(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( relation(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ function(X1)
| relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( ~ relation(X1)
| ~ function(X1)
| relation(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( function(relation_dom_restriction(X1,X2))
| ~ function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ function(X1)
| function(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ relation(X1)
| ~ function(X1)
| function(relation_dom_restriction(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_125_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_129_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_131_0,axiom,
~ empty(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_115_0,axiom,
relation_of2(sk2_esk13_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
relation_of2_as_subset(sk2_esk10_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_124_0,axiom,
element(sk2_esk4_1(X1),powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_128_0,axiom,
element(sk2_esk12_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_130_0,axiom,
empty(sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_132_0,axiom,
rel_str(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
one_sorted_str(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
relation(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
function(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
relation(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
relation_empty_yielding(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
function(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
empty(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
relation(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
relation(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
empty(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
function(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
relation(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
relation(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
function(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
one_to_one(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
relation(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
relation_empty_yielding(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
relation(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
relation_empty_yielding(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
function(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_154,conjecture,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
file('<stdin>',t19_yellow_6) ).
fof(c_0_1_155,negated_conjecture,
~ ! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> ! [X3] :
( subnetstr(X3,X1,X2)
=> subset(the_carrier(X3),the_carrier(X2)) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_156,negated_conjecture,
( one_sorted_str(esk1_0)
& net_str(esk2_0,esk1_0)
& subnetstr(esk3_0,esk1_0,esk2_0)
& ~ subset(the_carrier(esk3_0),the_carrier(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_157,negated_conjecture,
subnetstr(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_158,negated_conjecture,
~ subset(the_carrier(esk3_0),the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_159,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_160,negated_conjecture,
one_sorted_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_161,negated_conjecture,
subnetstr(esk3_0,esk1_0,esk2_0),
c_0_3,
[final] ).
cnf(c_0_8_162,negated_conjecture,
~ subset(the_carrier(esk3_0),the_carrier(esk2_0)),
c_0_4,
[final] ).
cnf(c_0_9_163,negated_conjecture,
net_str(esk2_0,esk1_0),
c_0_5,
[final] ).
cnf(c_0_10_164,negated_conjecture,
one_sorted_str(esk1_0),
c_0_6,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_108,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X0)
| subset(the_carrier(X0),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_176_0) ).
cnf(c_303,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X0)
| subset(the_carrier(X0),the_carrier(X1))
| ~ rel_str(X1) ),
inference(copy,[status(esa)],[c_108]) ).
cnf(c_9906,plain,
( ~ rel_str(sk3_esk3_0)
| ~ rel_str(X0)
| subset(the_carrier(sk3_esk3_0),the_carrier(X0))
| ~ subrelstr(sk3_esk3_0,X0) ),
inference(instantiation,[status(thm)],[c_303]) ).
cnf(c_20185,plain,
( ~ rel_str(sk3_esk3_0)
| ~ rel_str(sk3_esk2_0)
| subset(the_carrier(sk3_esk3_0),the_carrier(sk3_esk2_0))
| ~ subrelstr(sk3_esk3_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_9906]) ).
cnf(c_115,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X0,X1)
| ~ net_str(X2,X1)
| subrelstr(X0,X2)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_169_0) ).
cnf(c_310,plain,
( ~ subnetstr(X0,X1,X2)
| ~ net_str(X0,X1)
| ~ net_str(X2,X1)
| subrelstr(X0,X2)
| ~ one_sorted_str(X1) ),
inference(copy,[status(esa)],[c_115]) ).
cnf(c_9483,plain,
( ~ net_str(X0,sk3_esk1_0)
| ~ net_str(X1,sk3_esk1_0)
| ~ subnetstr(X0,sk3_esk1_0,X1)
| ~ one_sorted_str(sk3_esk1_0)
| subrelstr(X0,X1) ),
inference(instantiation,[status(thm)],[c_310]) ).
cnf(c_9697,plain,
( ~ net_str(sk3_esk3_0,sk3_esk1_0)
| ~ net_str(X0,sk3_esk1_0)
| ~ subnetstr(sk3_esk3_0,sk3_esk1_0,X0)
| ~ one_sorted_str(sk3_esk1_0)
| subrelstr(sk3_esk3_0,X0) ),
inference(instantiation,[status(thm)],[c_9483]) ).
cnf(c_9967,plain,
( ~ net_str(sk3_esk3_0,sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ subnetstr(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)
| ~ one_sorted_str(sk3_esk1_0)
| subrelstr(sk3_esk3_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_9697]) ).
cnf(c_100,plain,
( ~ net_str(X0,X1)
| rel_str(X0)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_184_0) ).
cnf(c_295,plain,
( ~ net_str(X0,X1)
| rel_str(X0)
| ~ one_sorted_str(X1) ),
inference(copy,[status(esa)],[c_100]) ).
cnf(c_9431,plain,
( ~ net_str(X0,sk3_esk1_0)
| ~ one_sorted_str(sk3_esk1_0)
| rel_str(X0) ),
inference(instantiation,[status(thm)],[c_295]) ).
cnf(c_9703,plain,
( ~ net_str(sk3_esk3_0,sk3_esk1_0)
| ~ one_sorted_str(sk3_esk1_0)
| rel_str(sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_9431]) ).
cnf(c_0,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_111_0) ).
cnf(c_195,plain,
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| net_str(X2,X0) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_9472,plain,
( ~ net_str(X0,sk3_esk1_0)
| net_str(X1,sk3_esk1_0)
| ~ subnetstr(X1,sk3_esk1_0,X0)
| ~ one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_9529,plain,
( ~ net_str(sk3_esk2_0,sk3_esk1_0)
| net_str(X0,sk3_esk1_0)
| ~ subnetstr(X0,sk3_esk1_0,sk3_esk2_0)
| ~ one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_9472]) ).
cnf(c_9560,plain,
( net_str(sk3_esk3_0,sk3_esk1_0)
| ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ subnetstr(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0)
| ~ one_sorted_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_9529]) ).
cnf(c_9519,plain,
( ~ net_str(sk3_esk2_0,sk3_esk1_0)
| ~ one_sorted_str(sk3_esk1_0)
| rel_str(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_9431]) ).
cnf(c_120,negated_conjecture,
~ subset(the_carrier(sk3_esk3_0),the_carrier(sk3_esk2_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_8) ).
cnf(c_121,negated_conjecture,
subnetstr(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_7) ).
cnf(c_122,negated_conjecture,
net_str(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_9) ).
cnf(c_123,negated_conjecture,
one_sorted_str(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_860660.p',c_0_10) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_20185,c_9967,c_9703,c_9560,c_9519,c_120,c_121,c_122,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU373+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 02:06:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42 % FOF problem with conjecture
% 0.21/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_aa9d64.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_860660.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0914d0 | grep -v "SZS"
% 0.21/0.45
% 0.21/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ iProver source info
% 0.21/0.45
% 0.21/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45 % git: non_committed_changes: true
% 0.21/0.45 % git: last_make_outside_of_git: true
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 0.21/0.46 % --inst_prop_sim_new false
% 0.21/0.46 % --inst_orphan_elimination true
% 0.21/0.46 % --inst_learning_loop_flag true
% 0.21/0.46 % --inst_learning_start 3000
% 0.21/0.46 % --inst_learning_factor 2
% 0.21/0.46 % --inst_start_prop_sim_after_learn 3
% 0.21/0.46 % --inst_sel_renew solver
% 0.21/0.46 % --inst_lit_activity_flag true
% 0.21/0.46 % --inst_out_proof true
% 0.21/0.46
% 0.21/0.46 % ------ Resolution Options
% 0.21/0.46
% 0.21/0.46 % --resolution_flag true
% 0.21/0.46 % --res_lit_sel kbo_max
% 0.21/0.46 % --res_to_prop_solver none
% 0.21/0.46 % --res_prop_simpl_new false
% 0.21/0.46 % --res_prop_simpl_given false
% 0.21/0.46 % --res_passive_queue_type priority_queues
% 0.21/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.46 % --res_passive_queues_freq [15;5]
% 0.21/0.46 % --res_forward_subs full
% 0.21/0.46 % --res_backward_subs full
% 0.21/0.46 % --res_forward_subs_resolution true
% 0.21/0.46 % --res_backward_subs_resolution true
% 0.21/0.46 % --res_orphan_elimination false
% 0.21/0.46 % --res_time_limit 1000.
% 0.21/0.46 % --res_out_proof true
% 0.21/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_aa9d64.s
% 0.21/0.46 % --modulo true
% 0.21/0.46
% 0.21/0.46 % ------ Combination Options
% 0.21/0.46
% 0.21/0.46 % --comb_res_mult 1000
% 0.21/0.46 % --comb_inst_mult 300
% 0.21/0.46 % ------
% 0.21/0.46
% 0.21/0.46 % ------ Parsing...% successful
% 0.21/0.46
% 0.21/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.46
% 0.21/0.46 % ------ Proving...
% 0.21/0.46 % ------ Problem Properties
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % EPR false
% 0.21/0.46 % Horn false
% 0.21/0.46 % Has equality true
% 0.21/0.46
% 0.21/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % % ------ Current options:
% 0.21/0.46
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.46 % --bmc1_max_bound_default -1
% 0.21/0.46 % --bmc1_symbol_reachability true
% 0.21/0.46 % --bmc1_property_lemmas false
% 0.21/0.46 % --bmc1_k_induction false
% 0.21/0.46 % --bmc1_non_equiv_states false
% 0.21/0.46 % --bmc1_deadlock false
% 0.21/0.46 % --bmc1_ucm false
% 0.21/0.46 % --bmc1_add_unsat_core none
% 0.21/0.46 % --bmc1_unsat_core_children false
% 0.21/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.46 % --bmc1_out_stat full
% 0.21/0.46 % --bmc1_ground_init false
% 0.21/0.46 % --bmc1_pre_inst_next_state false
% 0.21/0.46 % --bmc1_pre_inst_state false
% 0.21/0.46 % --bmc1_pre_inst_reach_state false
% 0.21/0.46 % --bmc1_out_unsat_core false
% 0.21/0.46 % --bmc1_aig_witness_out false
% 0.21/0.46 % --bmc1_verbose false
% 0.21/0.46 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 0.91/1.11 % --inst_prop_sim_new false
% 0.91/1.11 % --inst_orphan_elimination true
% 0.91/1.11 % --inst_learning_loop_flag true
% 0.91/1.11 % --inst_learning_start 3000
% 0.91/1.11 % --inst_learning_factor 2
% 0.91/1.11 % --inst_start_prop_sim_after_learn 3
% 0.91/1.11 % --inst_sel_renew solver
% 0.91/1.11 % --inst_lit_activity_flag true
% 0.91/1.11 % --inst_out_proof true
% 0.91/1.11
% 0.91/1.11 % ------ Resolution Options
% 0.91/1.11
% 0.91/1.11 % --resolution_flag true
% 0.91/1.11 % --res_lit_sel kbo_max
% 0.91/1.11 % --res_to_prop_solver none
% 0.91/1.11 % --res_prop_simpl_new false
% 0.91/1.11 % --res_prop_simpl_given false
% 0.91/1.11 % --res_passive_queue_type priority_queues
% 0.91/1.11 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.91/1.11 % --res_passive_queues_freq [15;5]
% 0.91/1.11 % --res_forward_subs full
% 0.91/1.11 % --res_backward_subs full
% 0.91/1.11 % --res_forward_subs_resolution true
% 0.91/1.11 % --res_backward_subs_resolution true
% 0.91/1.11 % --res_orphan_elimination false
% 0.91/1.11 % --res_time_limit 1000.
% 0.91/1.11 % --res_out_proof true
% 0.91/1.11 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_aa9d64.s
% 0.91/1.11 % --modulo true
% 0.91/1.11
% 0.91/1.11 % ------ Combination Options
% 0.91/1.11
% 0.91/1.11 % --comb_res_mult 1000
% 0.91/1.11 % --comb_inst_mult 300
% 0.91/1.11 % ------
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11 % ------ Proving...
% 0.91/1.11 %
% 0.91/1.11
% 0.91/1.11
% 0.91/1.11 % ------ Statistics
% 0.91/1.11
% 0.91/1.11 % ------ General
% 0.91/1.11
% 0.91/1.11 % num_of_input_clauses: 124
% 0.91/1.11 % num_of_input_neg_conjectures: 4
% 0.91/1.11 % num_of_splits: 0
% 0.91/1.11 % num_of_split_atoms: 0
% 0.91/1.11 % num_of_sem_filtered_clauses: 0
% 0.91/1.11 % num_of_subtypes: 0
% 0.91/1.11 % monotx_restored_types: 0
% 0.91/1.11 % sat_num_of_epr_types: 0
% 0.91/1.11 % sat_num_of_non_cyclic_types: 0
% 0.91/1.11 % sat_guarded_non_collapsed_types: 0
% 0.91/1.11 % is_epr: 0
% 0.91/1.11 % is_horn: 0
% 0.91/1.11 % has_eq: 1
% 0.91/1.11 % num_pure_diseq_elim: 0
% 0.91/1.11 % simp_replaced_by: 0
% 0.91/1.11 % res_preprocessed: 8
% 0.91/1.11 % prep_upred: 0
% 0.91/1.11 % prep_unflattend: 0
% 0.91/1.11 % pred_elim_cands: 0
% 0.91/1.11 % pred_elim: 0
% 0.91/1.11 % pred_elim_cl: 0
% 0.91/1.11 % pred_elim_cycles: 0
% 0.91/1.11 % forced_gc_time: 0
% 0.91/1.11 % gc_basic_clause_elim: 0
% 0.91/1.11 % parsing_time: 0.004
% 0.91/1.11 % sem_filter_time: 0.
% 0.91/1.11 % pred_elim_time: 0.
% 0.91/1.11 % out_proof_time: 0.
% 0.91/1.11 % monotx_time: 0.
% 0.91/1.11 % subtype_inf_time: 0.
% 0.91/1.11 % unif_index_cands_time: 0.004
% 0.91/1.11 % unif_index_add_time: 0.007
% 0.91/1.11 % total_time: 0.679
% 0.91/1.11 % num_of_symbols: 70
% 0.91/1.11 % num_of_terms: 14680
% 0.91/1.11
% 0.91/1.11 % ------ Propositional Solver
% 0.91/1.11
% 0.91/1.11 % prop_solver_calls: 7
% 0.91/1.11 % prop_fast_solver_calls: 12
% 0.91/1.11 % prop_num_of_clauses: 1054
% 0.91/1.11 % prop_preprocess_simplified: 1273
% 0.91/1.11 % prop_fo_subsumed: 0
% 0.91/1.11 % prop_solver_time: 0.
% 0.91/1.11 % prop_fast_solver_time: 0.
% 0.91/1.11 % prop_unsat_core_time: 0.
% 0.91/1.11
% 0.91/1.11 % ------ QBF
% 0.91/1.11
% 0.91/1.11 % qbf_q_res: 0
% 0.91/1.11 % qbf_num_tautologies: 0
% 0.91/1.11 % qbf_prep_cycles: 0
% 0.91/1.11
% 0.91/1.11 % ------ BMC1
% 0.91/1.11
% 0.91/1.11 % bmc1_current_bound: -1
% 0.91/1.11 % bmc1_last_solved_bound: -1
% 0.91/1.11 % bmc1_unsat_core_size: -1
% 0.91/1.11 % bmc1_unsat_core_parents_size: -1
% 0.91/1.11 % bmc1_merge_next_fun: 0
% 0.91/1.11 % bmc1_unsat_core_clauses_time: 0.
% 0.91/1.11
% 0.91/1.11 % ------ Instantiation
% 0.91/1.11
% 0.91/1.11 % inst_num_of_clauses: 814
% 0.91/1.11 % inst_num_in_passive: 152
% 0.91/1.11 % inst_num_in_active: 454
% 0.91/1.11 % inst_num_in_unprocessed: 198
% 0.91/1.11 % inst_num_of_loops: 466
% 0.91/1.11 % inst_num_of_learning_restarts: 0
% 0.91/1.11 % inst_num_moves_active_passive: 1
% 0.91/1.11 % inst_lit_activity: 147
% 0.91/1.11 % inst_lit_activity_moves: 0
% 0.91/1.11 % inst_num_tautologies: 8
% 0.91/1.11 % inst_num_prop_implied: 0
% 0.91/1.11 % inst_num_existing_simplified: 0
% 0.91/1.11 % inst_num_eq_res_simplified: 0
% 0.91/1.11 % inst_num_child_elim: 0
% 0.91/1.11 % inst_num_of_dismatching_blockings: 0
% 0.91/1.11 % inst_num_of_non_proper_insts: 376
% 0.91/1.11 % inst_num_of_duplicates: 108
% 0.91/1.11 % inst_inst_num_from_inst_to_res: 0
% 0.91/1.11 % inst_dismatching_checking_time: 0.
% 0.91/1.11
% 0.91/1.11 % ------ Resolution
% 0.91/1.11
% 0.91/1.11 % res_num_of_clauses: 2653
% 0.91/1.11 % res_num_in_passive: 703
% 0.91/1.11 % res_num_in_active: 1884
% 0.91/1.11 % res_num_of_loops: 2000
% 0.91/1.11 % res_forward_subset_subsumed: 196
% 0.91/1.11 % res_backward_subset_subsumed: 2
% 0.91/1.11 % res_forward_subsumed: 193
% 0.91/1.11 % res_backward_subsumed: 0
% 0.91/1.11 % res_forward_subsumption_resolution: 337
% 0.91/1.11 % res_backward_subsumption_resolution: 1
% 0.91/1.11 % res_clause_to_clause_subsumption: 3843
% 0.91/1.11 % res_orphan_elimination: 0
% 0.91/1.11 % res_tautology_del: 1367
% 0.91/1.11 % res_num_eq_res_simplified: 0
% 0.91/1.11 % res_num_sel_changes: 0
% 0.91/1.11 % res_moves_from_active_to_pass: 0
% 0.91/1.11
% 0.91/1.11 % Status Unsatisfiable
% 0.91/1.11 % SZS status Theorem
% 0.91/1.11 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------