%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU256+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n028.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 10:26:32 EDT 2022
% Result : Theorem 9.26s 9.48s
% Output : CNFRefutation 9.26s
% 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(t2_boole,axiom,
! [A] : set_intersection2(A,empty_set) = empty_set,
input ).
fof(t2_boole_0,plain,
! [A] :
( set_intersection2(A,empty_set) = empty_set
| $false ),
inference(orientation,[status(thm)],[t2_boole]) ).
fof(t21_wellord1,axiom,
! [A,B,C] :
( relation(C)
=> subset(fiber(relation_restriction(C,A),B),fiber(C,B)) ),
input ).
fof(t21_wellord1_0,plain,
! [A,B,C] :
( ~ relation(C)
| subset(fiber(relation_restriction(C,A),B),fiber(C,B)) ),
inference(orientation,[status(thm)],[t21_wellord1]) ).
fof(t20_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
input ).
fof(t20_wellord1_0,plain,
! [A,B] :
( ~ relation(B)
| ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(orientation,[status(thm)],[t20_wellord1]) ).
fof(t1_xboole_1,axiom,
! [A,B,C] :
( ( subset(A,B)
& subset(B,C) )
=> subset(A,C) ),
input ).
fof(t1_xboole_1_0,plain,
! [A,B,C] :
( subset(A,C)
| ~ ( subset(A,B)
& subset(B,C) ) ),
inference(orientation,[status(thm)],[t1_xboole_1]) ).
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(t1_boole,axiom,
! [A] : set_union2(A,empty_set) = A,
input ).
fof(t1_boole_0,plain,
! [A] :
( set_union2(A,empty_set) = A
| $false ),
inference(orientation,[status(thm)],[t1_boole]) ).
fof(symmetry_r1_xboole_0,axiom,
! [A,B] :
( disjoint(A,B)
=> disjoint(B,A) ),
input ).
fof(symmetry_r1_xboole_0_0,plain,
! [A,B] :
( ~ disjoint(A,B)
| disjoint(B,A) ),
inference(orientation,[status(thm)],[symmetry_r1_xboole_0]) ).
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(idempotence_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,A) = A,
input ).
fof(idempotence_k3_xboole_0_0,plain,
! [A] :
( set_intersection2(A,A) = A
| $false ),
inference(orientation,[status(thm)],[idempotence_k3_xboole_0]) ).
fof(idempotence_k2_xboole_0,axiom,
! [A,B] : set_union2(A,A) = A,
input ).
fof(idempotence_k2_xboole_0_0,plain,
! [A] :
( set_union2(A,A) = A
| $false ),
inference(orientation,[status(thm)],[idempotence_k2_xboole_0]) ).
fof(fc3_xboole_0,axiom,
! [A,B] :
( ~ empty(A)
=> ~ empty(set_union2(B,A)) ),
input ).
fof(fc3_xboole_0_0,plain,
! [A,B] :
( empty(A)
| ~ empty(set_union2(B,A)) ),
inference(orientation,[status(thm)],[fc3_xboole_0]) ).
fof(fc2_xboole_0,axiom,
! [A,B] :
( ~ empty(A)
=> ~ empty(set_union2(A,B)) ),
input ).
fof(fc2_xboole_0_0,plain,
! [A,B] :
( empty(A)
| ~ empty(set_union2(A,B)) ),
inference(orientation,[status(thm)],[fc2_xboole_0]) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
input ).
fof(fc1_xboole_0_0,plain,
( empty(empty_set)
| $false ),
inference(orientation,[status(thm)],[fc1_xboole_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_k3_xboole_0,axiom,
$true,
input ).
fof(dt_k3_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k3_xboole_0]) ).
fof(dt_k3_relat_1,axiom,
$true,
input ).
fof(dt_k3_relat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k3_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_k2_xboole_0,axiom,
$true,
input ).
fof(dt_k2_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_xboole_0]) ).
fof(dt_k2_wellord1,axiom,
! [A,B] :
( relation(A)
=> relation(relation_restriction(A,B)) ),
input ).
fof(dt_k2_wellord1_0,plain,
! [A,B] :
( ~ relation(A)
| relation(relation_restriction(A,B)) ),
inference(orientation,[status(thm)],[dt_k2_wellord1]) ).
fof(dt_k2_relat_1,axiom,
$true,
input ).
fof(dt_k2_relat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_relat_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(dt_k1_wellord1,axiom,
$true,
input ).
fof(dt_k1_wellord1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_wellord1]) ).
fof(dt_k1_relat_1,axiom,
$true,
input ).
fof(dt_k1_relat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_relat_1]) ).
fof(d6_wellord1,axiom,
! [A] :
( relation(A)
=> ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ),
input ).
fof(d6_wellord1_0,plain,
! [A] :
( ~ relation(A)
| ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ),
inference(orientation,[status(thm)],[d6_wellord1]) ).
fof(d6_relat_1,axiom,
! [A] :
( relation(A)
=> relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ),
input ).
fof(d6_relat_1_0,plain,
! [A] :
( ~ relation(A)
| relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ),
inference(orientation,[status(thm)],[d6_relat_1]) ).
fof(d2_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_founded_relation(A)
<=> ! [B] :
~ ( subset(B,relation_field(A))
& B != empty_set
& ! [C] :
~ ( in(C,B)
& disjoint(fiber(A,C),B) ) ) ) ),
input ).
fof(d2_wellord1_0,plain,
! [A] :
( ~ relation(A)
| ( well_founded_relation(A)
<=> ! [B] :
~ ( subset(B,relation_field(A))
& B != empty_set
& ! [C] :
~ ( in(C,B)
& disjoint(fiber(A,C),B) ) ) ) ),
inference(orientation,[status(thm)],[d2_wellord1]) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
input ).
fof(commutativity_k3_xboole_0_0,plain,
! [A,B] :
( set_intersection2(A,B) = set_intersection2(B,A)
| $false ),
inference(orientation,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(commutativity_k2_xboole_0,axiom,
! [A,B] : set_union2(A,B) = set_union2(B,A),
input ).
fof(commutativity_k2_xboole_0_0,plain,
! [A,B] :
( set_union2(A,B) = set_union2(B,A)
| $false ),
inference(orientation,[status(thm)],[commutativity_k2_xboole_0]) ).
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(def_lhs_atom3,axiom,
! [B,A] :
( lhs_atom3(B,A)
<=> set_union2(A,B) = set_union2(B,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
! [A,B] :
( lhs_atom3(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k2_xboole_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [B,A] :
( lhs_atom4(B,A)
<=> set_intersection2(A,B) = set_intersection2(B,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [A,B] :
( lhs_atom4(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k3_xboole_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> ~ relation(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom5(A)
| ( well_founded_relation(A)
<=> ! [B] :
~ ( subset(B,relation_field(A))
& B != empty_set
& ! [C] :
~ ( in(C,B)
& disjoint(fiber(A,C),B) ) ) ) ),
inference(fold_definition,[status(thm)],[d2_wellord1_0,def_lhs_atom5]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom5(A)
| relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ),
inference(fold_definition,[status(thm)],[d6_relat_1_0,def_lhs_atom5]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom5(A)
| ! [B] : relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B)) ),
inference(fold_definition,[status(thm)],[d6_wellord1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_relat_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_8,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_wellord1_0,def_lhs_atom6]) ).
fof(to_be_clausified_9,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_10,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_11,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_relat_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_12,plain,
! [A,B] :
( lhs_atom5(A)
| relation(relation_restriction(A,B)) ),
inference(fold_definition,[status(thm)],[dt_k2_wellord1_0,def_lhs_atom5]) ).
fof(to_be_clausified_13,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_xboole_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_14,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_15,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_relat_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_16,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_xboole_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_17,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> empty(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_18,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [A,B] :
( lhs_atom8(A)
| ~ empty(set_union2(A,B)) ),
inference(fold_definition,[status(thm)],[fc2_xboole_0_0,def_lhs_atom8]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom8(A)
| ~ empty(set_union2(B,A)) ),
inference(fold_definition,[status(thm)],[fc3_xboole_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [A] :
( lhs_atom9(A)
<=> set_union2(A,A) = A ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
! [A] :
( lhs_atom9(A)
| $false ),
inference(fold_definition,[status(thm)],[idempotence_k2_xboole_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> set_intersection2(A,A) = A ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom10(A)
| $false ),
inference(fold_definition,[status(thm)],[idempotence_k3_xboole_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> subset(A,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [B,A] :
( lhs_atom12(B,A)
<=> ~ disjoint(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom12(B,A)
| disjoint(B,A) ),
inference(fold_definition,[status(thm)],[symmetry_r1_xboole_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> set_union2(A,empty_set) = A ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [A] :
( lhs_atom13(A)
| $false ),
inference(fold_definition,[status(thm)],[t1_boole_0,def_lhs_atom13]) ).
fof(to_be_clausified_26,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom14,axiom,
! [C,A] :
( lhs_atom14(C,A)
<=> subset(A,C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_27,plain,
! [A,B,C] :
( lhs_atom14(C,A)
| ~ ( subset(A,B)
& subset(B,C) ) ),
inference(fold_definition,[status(thm)],[t1_xboole_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [B] :
( lhs_atom15(B)
<=> ~ relation(B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [A,B] :
( lhs_atom15(B)
| ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(fold_definition,[status(thm)],[t20_wellord1_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [C] :
( lhs_atom16(C)
<=> ~ relation(C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [A,B,C] :
( lhs_atom16(C)
| subset(fiber(relation_restriction(C,A),B),fiber(C,B)) ),
inference(fold_definition,[status(thm)],[t21_wellord1_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [A] :
( lhs_atom17(A)
<=> set_intersection2(A,empty_set) = empty_set ),
inference(definition,[],[]) ).
fof(to_be_clausified_30,plain,
! [A] :
( lhs_atom17(A)
| $false ),
inference(fold_definition,[status(thm)],[t2_boole_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [B,A] :
( lhs_atom18(B,A)
<=> ~ element(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_31,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_32,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_33,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_34,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_35,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)
| ( well_founded_relation(X2)
<=> ! [X1] :
~ ( subset(X1,relation_field(X2))
& X1 != empty_set
& ! [X3] :
~ ( in(X3,X1)
& disjoint(fiber(X2,X3),X1) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_1,axiom,
! [X3,X1,X2] :
( lhs_atom16(X3)
| subset(fiber(relation_restriction(X3,X2),X1),fiber(X3,X1)) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X2)),X2) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_3,axiom,
! [X3,X1,X2] :
( lhs_atom21(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom14(X3,X2)
| ~ ( subset(X2,X1)
& subset(X1,X3) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_5,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] : relation_restriction(X2,X1) = set_intersection2(X2,cartesian_product2(X1,X1)) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_6,axiom,
! [X1,X2] :
( lhs_atom8(X2)
| ~ empty(set_union2(X1,X2)) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom8(X2)
| ~ empty(set_union2(X2,X1)) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_8,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ subset(X2,X1) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| relation(relation_restriction(X2,X1)) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom5(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| subset(X2,X1) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_14,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_15,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| disjoint(X1,X2) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_17,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom17(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom13(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_23,axiom,
! [X2] :
( lhs_atom10(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_24,axiom,
! [X2] :
( lhs_atom9(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_25,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_26,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_27,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_28,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_29,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_30,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_31,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_32,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_33,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_34,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_35,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_36,axiom,
! [X2] :
( lhs_atom5(X2)
| ( well_founded_relation(X2)
<=> ! [X1] :
~ ( subset(X1,relation_field(X2))
& X1 != empty_set
& ! [X3] :
~ ( in(X3,X1)
& disjoint(fiber(X2,X3),X1) ) ) ) ),
c_0_0 ).
fof(c_0_37,axiom,
! [X3,X1,X2] :
( lhs_atom16(X3)
| subset(fiber(relation_restriction(X3,X2),X1),fiber(X3,X1)) ),
c_0_1 ).
fof(c_0_38,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X2)),X2) ) ),
c_0_2 ).
fof(c_0_39,axiom,
! [X3,X1,X2] :
( lhs_atom21(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
c_0_3 ).
fof(c_0_40,axiom,
! [X3,X1,X2] :
( lhs_atom14(X3,X2)
| ~ ( subset(X2,X1)
& subset(X1,X3) ) ),
c_0_4 ).
fof(c_0_41,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] : relation_restriction(X2,X1) = set_intersection2(X2,cartesian_product2(X1,X1)) ),
c_0_5 ).
fof(c_0_42,plain,
! [X1,X2] :
( lhs_atom8(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_43,plain,
! [X1,X2] :
( lhs_atom8(X2)
| ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_44,plain,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_45,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_46,axiom,
! [X1,X2] :
( lhs_atom5(X2)
| relation(relation_restriction(X2,X1)) ),
c_0_10 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom5(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
c_0_11 ).
fof(c_0_48,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_12 ).
fof(c_0_49,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| subset(X2,X1) ),
c_0_13 ).
fof(c_0_50,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_14 ).
fof(c_0_51,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| disjoint(X1,X2) ),
c_0_15 ).
fof(c_0_52,plain,
! [X1,X2] : lhs_atom4(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_53,plain,
! [X1,X2] : lhs_atom3(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_54,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
c_0_18 ).
fof(c_0_55,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
c_0_19 ).
fof(c_0_56,plain,
! [X2] : lhs_atom17(X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_57,plain,
! [X2] : lhs_atom13(X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_58,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_59,plain,
! [X2] : lhs_atom10(X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_60,plain,
! [X2] : lhs_atom9(X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_61,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_62,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_63,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_64,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_65,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_66,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_67,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_68,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_69,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_70,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_71,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_72,plain,
! [X4,X5,X8] :
( ( in(esk1_2(X4,X5),X5)
| X5 = empty_set
| ~ subset(X5,relation_field(X4))
| ~ well_founded_relation(X4)
| lhs_atom5(X4) )
& ( disjoint(fiber(X4,esk1_2(X4,X5)),X5)
| X5 = empty_set
| ~ subset(X5,relation_field(X4))
| ~ well_founded_relation(X4)
| lhs_atom5(X4) )
& ( subset(esk2_1(X4),relation_field(X4))
| well_founded_relation(X4)
| lhs_atom5(X4) )
& ( esk2_1(X4) != empty_set
| well_founded_relation(X4)
| lhs_atom5(X4) )
& ( ~ in(X8,esk2_1(X4))
| ~ disjoint(fiber(X4,X8),esk2_1(X4))
| well_founded_relation(X4)
| lhs_atom5(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])]) ).
fof(c_0_73,plain,
! [X4,X5,X6] :
( lhs_atom16(X4)
| subset(fiber(relation_restriction(X4,X6),X5),fiber(X4,X5)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_37])])]) ).
fof(c_0_74,plain,
! [X3,X4,X5] :
( ( subset(relation_field(relation_restriction(X3,X4)),relation_field(X3))
| lhs_atom15(X3) )
& ( subset(relation_field(relation_restriction(X3,X5)),X5)
| lhs_atom15(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_38])])])]) ).
fof(c_0_75,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_39])]) ).
fof(c_0_76,plain,
! [X4,X5,X6] :
( lhs_atom14(X4,X6)
| ~ subset(X6,X5)
| ~ subset(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
fof(c_0_77,plain,
! [X3,X4] :
( lhs_atom5(X3)
| relation_restriction(X3,X4) = set_intersection2(X3,cartesian_product2(X4,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_78,plain,
! [X3,X4] :
( lhs_atom8(X4)
| ~ empty(set_union2(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_79,plain,
! [X3,X4] :
( lhs_atom8(X4)
| ~ empty(set_union2(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_80,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| ~ subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_81,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_82,plain,
! [X3,X4] :
( lhs_atom5(X4)
| relation(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_83,plain,
! [X3] :
( lhs_atom5(X3)
| relation_field(X3) = set_union2(relation_dom(X3),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_84,plain,
! [X3,X4] :
( lhs_atom18(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_85,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_86,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_87,plain,
! [X3,X4] :
( lhs_atom12(X3,X4)
| disjoint(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_88,plain,
! [X3,X4] : lhs_atom4(X3,X4),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_89,plain,
! [X3,X4] : lhs_atom3(X3,X4),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_90,plain,
! [X3] :
( lhs_atom2(X3)
| function(X3) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_91,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_92,plain,
! [X3] : lhs_atom17(X3),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_93,plain,
! [X3] : lhs_atom13(X3),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_94,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_95,plain,
! [X3] : lhs_atom10(X3),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_96,plain,
! [X3] : lhs_atom9(X3),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_97,plain,
lhs_atom7,
c_0_61 ).
fof(c_0_98,plain,
lhs_atom6,
c_0_62 ).
fof(c_0_99,plain,
lhs_atom6,
c_0_63 ).
fof(c_0_100,plain,
lhs_atom6,
c_0_64 ).
fof(c_0_101,plain,
lhs_atom6,
c_0_65 ).
fof(c_0_102,plain,
lhs_atom6,
c_0_66 ).
fof(c_0_103,plain,
lhs_atom6,
c_0_67 ).
fof(c_0_104,plain,
lhs_atom6,
c_0_68 ).
fof(c_0_105,plain,
lhs_atom6,
c_0_69 ).
fof(c_0_106,plain,
lhs_atom6,
c_0_70 ).
fof(c_0_107,plain,
lhs_atom6,
c_0_71 ).
cnf(c_0_108,plain,
( lhs_atom5(X1)
| X2 = empty_set
| disjoint(fiber(X1,esk1_2(X1,X2)),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,plain,
( subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))
| lhs_atom16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_110,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| ~ disjoint(fiber(X1,X2),esk2_1(X1))
| ~ in(X2,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_111,plain,
( lhs_atom5(X1)
| X2 = empty_set
| in(esk1_2(X1,X2),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_112,plain,
( lhs_atom15(X1)
| subset(relation_field(relation_restriction(X1,X2)),relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,plain,
( lhs_atom15(X1)
| subset(relation_field(relation_restriction(X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_114,plain,
( lhs_atom21(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_115,plain,
( lhs_atom14(X2,X3)
| ~ subset(X1,X2)
| ~ subset(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_116,plain,
( relation_restriction(X1,X2) = set_intersection2(X1,cartesian_product2(X2,X2))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_117,plain,
( lhs_atom8(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_118,plain,
( lhs_atom8(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_119,plain,
( lhs_atom20(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_120,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_121,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_122,plain,
( relation(relation_restriction(X1,X2))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_123,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_124,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_125,plain,
( subset(X1,X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_126,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_127,plain,
( disjoint(X1,X2)
| lhs_atom12(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_128,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| esk2_1(X1) != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_129,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_130,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_131,plain,
( function(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_132,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_133,plain,
lhs_atom17(X1),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_134,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_135,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_136,plain,
lhs_atom10(X1),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_137,plain,
lhs_atom9(X1),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_138,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_139,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_140,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_141,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_142,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_143,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_144,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_145,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_146,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_147,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_148,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_149,plain,
( lhs_atom5(X1)
| X2 = empty_set
| disjoint(fiber(X1,esk1_2(X1,X2)),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
c_0_108,
[final] ).
cnf(c_0_150,plain,
( subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3))
| lhs_atom16(X1) ),
c_0_109,
[final] ).
cnf(c_0_151,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| ~ disjoint(fiber(X1,X2),esk2_1(X1))
| ~ in(X2,esk2_1(X1)) ),
c_0_110,
[final] ).
cnf(c_0_152,plain,
( lhs_atom5(X1)
| X2 = empty_set
| in(esk1_2(X1,X2),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
c_0_111,
[final] ).
cnf(c_0_153,plain,
( lhs_atom15(X1)
| subset(relation_field(relation_restriction(X1,X2)),relation_field(X1)) ),
c_0_112,
[final] ).
cnf(c_0_154,plain,
( lhs_atom15(X1)
| subset(relation_field(relation_restriction(X1,X2)),X2) ),
c_0_113,
[final] ).
cnf(c_0_155,plain,
( lhs_atom21(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
c_0_114,
[final] ).
cnf(c_0_156,plain,
( lhs_atom14(X2,X3)
| ~ subset(X1,X2)
| ~ subset(X3,X1) ),
c_0_115,
[final] ).
cnf(c_0_157,plain,
( set_intersection2(X1,cartesian_product2(X2,X2)) = relation_restriction(X1,X2)
| lhs_atom5(X1) ),
c_0_116,
[final] ).
cnf(c_0_158,plain,
( lhs_atom8(X2)
| ~ empty(set_union2(X1,X2)) ),
c_0_117,
[final] ).
cnf(c_0_159,plain,
( lhs_atom8(X1)
| ~ empty(set_union2(X1,X2)) ),
c_0_118,
[final] ).
cnf(c_0_160,plain,
( lhs_atom20(X2,X1)
| ~ subset(X1,X2) ),
c_0_119,
[final] ).
cnf(c_0_161,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_120,
[final] ).
cnf(c_0_162,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1)) ),
c_0_121,
[final] ).
cnf(c_0_163,plain,
( relation(relation_restriction(X1,X2))
| lhs_atom5(X1) ),
c_0_122,
[final] ).
cnf(c_0_164,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| lhs_atom5(X1) ),
c_0_123,
[final] ).
cnf(c_0_165,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom18(X2,X1) ),
c_0_124,
[final] ).
cnf(c_0_166,plain,
( subset(X1,X2)
| lhs_atom19(X2,X1) ),
c_0_125,
[final] ).
cnf(c_0_167,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_126,
[final] ).
cnf(c_0_168,plain,
( disjoint(X1,X2)
| lhs_atom12(X1,X2) ),
c_0_127,
[final] ).
cnf(c_0_169,plain,
( lhs_atom5(X1)
| well_founded_relation(X1)
| esk2_1(X1) != empty_set ),
c_0_128,
[final] ).
cnf(c_0_170,plain,
lhs_atom4(X1,X2),
c_0_129,
[final] ).
cnf(c_0_171,plain,
lhs_atom3(X1,X2),
c_0_130,
[final] ).
cnf(c_0_172,plain,
( function(X1)
| lhs_atom2(X1) ),
c_0_131,
[final] ).
cnf(c_0_173,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
c_0_132,
[final] ).
cnf(c_0_174,plain,
lhs_atom17(X1),
c_0_133,
[final] ).
cnf(c_0_175,plain,
lhs_atom13(X1),
c_0_134,
[final] ).
cnf(c_0_176,plain,
lhs_atom11(X1),
c_0_135,
[final] ).
cnf(c_0_177,plain,
lhs_atom10(X1),
c_0_136,
[final] ).
cnf(c_0_178,plain,
lhs_atom9(X1),
c_0_137,
[final] ).
cnf(c_0_179,plain,
lhs_atom7,
c_0_138,
[final] ).
cnf(c_0_180,plain,
lhs_atom6,
c_0_139,
[final] ).
cnf(c_0_181,plain,
lhs_atom6,
c_0_140,
[final] ).
cnf(c_0_182,plain,
lhs_atom6,
c_0_141,
[final] ).
cnf(c_0_183,plain,
lhs_atom6,
c_0_142,
[final] ).
cnf(c_0_184,plain,
lhs_atom6,
c_0_143,
[final] ).
cnf(c_0_185,plain,
lhs_atom6,
c_0_144,
[final] ).
cnf(c_0_186,plain,
lhs_atom6,
c_0_145,
[final] ).
cnf(c_0_187,plain,
lhs_atom6,
c_0_146,
[final] ).
cnf(c_0_188,plain,
lhs_atom6,
c_0_147,
[final] ).
cnf(c_0_189,plain,
lhs_atom6,
c_0_148,
[final] ).
% End CNF derivation
cnf(c_0_149_0,axiom,
( ~ relation(X1)
| X2 = empty_set
| disjoint(fiber(X1,sk1_esk1_2(X1,X2)),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom5]) ).
cnf(c_0_150_0,axiom,
( ~ relation(X1)
| subset(fiber(relation_restriction(X1,X2),X3),fiber(X1,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom16]) ).
cnf(c_0_151_0,axiom,
( ~ relation(X1)
| well_founded_relation(X1)
| ~ disjoint(fiber(X1,X2),sk1_esk2_1(X1))
| ~ in(X2,sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom5]) ).
cnf(c_0_152_0,axiom,
( ~ relation(X1)
| X2 = empty_set
| in(sk1_esk1_2(X1,X2),X2)
| ~ well_founded_relation(X1)
| ~ subset(X2,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom5]) ).
cnf(c_0_153_0,axiom,
( ~ relation(X1)
| subset(relation_field(relation_restriction(X1,X2)),relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom15]) ).
cnf(c_0_154_0,axiom,
( ~ relation(X1)
| subset(relation_field(relation_restriction(X1,X2)),X2) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom15]) ).
cnf(c_0_155_0,axiom,
( element(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom21]) ).
cnf(c_0_156_0,axiom,
( subset(X3,X2)
| ~ subset(X1,X2)
| ~ subset(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom14]) ).
cnf(c_0_157_0,axiom,
( ~ relation(X1)
| set_intersection2(X1,cartesian_product2(X2,X2)) = relation_restriction(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom5]) ).
cnf(c_0_158_0,axiom,
( empty(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom8]) ).
cnf(c_0_159_0,axiom,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom8]) ).
cnf(c_0_160_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom20]) ).
cnf(c_0_161_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom1]) ).
cnf(c_0_162_0,axiom,
( ~ relation(X1)
| well_founded_relation(X1)
| subset(sk1_esk2_1(X1),relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom5]) ).
cnf(c_0_163_0,axiom,
( ~ relation(X1)
| relation(relation_restriction(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom5]) ).
cnf(c_0_164_0,axiom,
( ~ relation(X1)
| set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom5]) ).
cnf(c_0_165_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom18]) ).
cnf(c_0_166_0,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom19]) ).
cnf(c_0_167_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom1]) ).
cnf(c_0_168_0,axiom,
( ~ disjoint(X2,X1)
| disjoint(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom12]) ).
cnf(c_0_169_0,axiom,
( ~ relation(X1)
| well_founded_relation(X1)
| sk1_esk2_1(X1) != empty_set ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom5]) ).
cnf(c_0_172_0,axiom,
( ~ empty(X1)
| function(X1) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom2]) ).
cnf(c_0_173_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom2]) ).
cnf(c_0_170_0,axiom,
set_intersection2(X2,X1) = set_intersection2(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom4]) ).
cnf(c_0_171_0,axiom,
set_union2(X2,X1) = set_union2(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom3]) ).
cnf(c_0_174_0,axiom,
set_intersection2(X1,empty_set) = empty_set,
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom17]) ).
cnf(c_0_175_0,axiom,
set_union2(X1,empty_set) = X1,
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom13]) ).
cnf(c_0_176_0,axiom,
subset(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom11]) ).
cnf(c_0_177_0,axiom,
set_intersection2(X1,X1) = X1,
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom10]) ).
cnf(c_0_178_0,axiom,
set_union2(X1,X1) = X1,
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom9]) ).
cnf(c_0_179_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom7]) ).
cnf(c_0_180_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom6]) ).
cnf(c_0_181_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom6]) ).
cnf(c_0_182_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom6]) ).
cnf(c_0_183_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom6]) ).
cnf(c_0_184_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom6]) ).
cnf(c_0_185_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom6]) ).
cnf(c_0_186_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom6]) ).
cnf(c_0_187_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom6]) ).
cnf(c_0_188_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom6]) ).
cnf(c_0_189_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_189,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] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
file('<stdin>',t3_xboole_0) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_3_004,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_4_005,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_6_007,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_7_008,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_8_009,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_9_010,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_10_011,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_11_012,plain,
! [X1,X2] :
( ~ ( ~ disjoint(X1,X2)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) )
& ~ ( ? [X3] :
( in(X3,X1)
& in(X3,X2) )
& disjoint(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_12_013,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_1 ).
fof(c_0_13_014,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_2 ).
fof(c_0_14_015,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_3 ).
fof(c_0_15_016,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_4 ).
fof(c_0_16_017,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_5 ).
fof(c_0_17_018,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_18_019,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_7 ).
fof(c_0_19_020,axiom,
? [X1] : empty(X1),
c_0_8 ).
fof(c_0_20_021,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_9 ).
fof(c_0_21_022,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_10 ).
fof(c_0_22_023,plain,
! [X4,X5,X7,X8,X9] :
( ( in(esk1_2(X4,X5),X4)
| disjoint(X4,X5) )
& ( in(esk1_2(X4,X5),X5)
| disjoint(X4,X5) )
& ( ~ in(X9,X7)
| ~ in(X9,X8)
| ~ disjoint(X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_23_024,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_12])])])]) ).
fof(c_0_24_025,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_25_026,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_14])])]) ).
fof(c_0_26_027,plain,
! [X3] : element(esk7_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
fof(c_0_27_028,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_16])])])]) ).
fof(c_0_28_029,plain,
~ empty(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
fof(c_0_29_030,plain,
( relation(esk6_0)
& function(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_30_031,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_31_032,plain,
( relation(esk4_0)
& empty(esk4_0)
& function(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
fof(c_0_32_033,plain,
( relation(esk2_0)
& function(esk2_0)
& one_to_one(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).
cnf(c_0_33_034,plain,
( ~ disjoint(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34_035,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35_036,plain,
( disjoint(X1,X2)
| in(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36_037,plain,
( disjoint(X1,X2)
| in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37_038,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38_039,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39_040,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_40_041,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41_042,plain,
element(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42_043,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43_044,plain,
~ empty(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44_045,plain,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45_046,plain,
function(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_46_047,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47_048,plain,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48_049,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49_050,plain,
function(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50_051,plain,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51_052,plain,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52_053,plain,
one_to_one(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53_054,plain,
( ~ disjoint(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,X1) ),
c_0_33,
[final] ).
cnf(c_0_54_055,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_34,
[final] ).
cnf(c_0_55_056,plain,
( disjoint(X1,X2)
| in(esk1_2(X1,X2),X1) ),
c_0_35,
[final] ).
cnf(c_0_56_057,plain,
( disjoint(X1,X2)
| in(esk1_2(X1,X2),X2) ),
c_0_36,
[final] ).
cnf(c_0_57_058,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_37,
[final] ).
cnf(c_0_58_059,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_38,
[final] ).
cnf(c_0_59_060,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_39,
[final] ).
cnf(c_0_60_061,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_40,
[final] ).
cnf(c_0_61_062,plain,
element(esk7_1(X1),X1),
c_0_41,
[final] ).
cnf(c_0_62_063,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_42,
[final] ).
cnf(c_0_63_064,plain,
~ empty(esk3_0),
c_0_43,
[final] ).
cnf(c_0_64_065,plain,
relation(esk6_0),
c_0_44,
[final] ).
cnf(c_0_65_066,plain,
function(esk6_0),
c_0_45,
[final] ).
cnf(c_0_66_067,plain,
empty(esk5_0),
c_0_46,
[final] ).
cnf(c_0_67_068,plain,
relation(esk4_0),
c_0_47,
[final] ).
cnf(c_0_68_069,plain,
empty(esk4_0),
c_0_48,
[final] ).
cnf(c_0_69_070,plain,
function(esk4_0),
c_0_49,
[final] ).
cnf(c_0_70_071,plain,
relation(esk2_0),
c_0_50,
[final] ).
cnf(c_0_71_072,plain,
function(esk2_0),
c_0_51,
[final] ).
cnf(c_0_72_073,plain,
one_to_one(esk2_0),
c_0_52,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_53_0,axiom,
( ~ disjoint(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_1,axiom,
( ~ in(X3,X2)
| ~ disjoint(X1,X2)
| ~ in(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_2,axiom,
( ~ in(X3,X1)
| ~ in(X3,X2)
| ~ disjoint(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
( disjoint(X1,X2)
| in(sk2_esk1_2(X1,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_1,axiom,
( in(sk2_esk1_2(X1,X2),X1)
| disjoint(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
( disjoint(X1,X2)
| in(sk2_esk1_2(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_1,axiom,
( in(sk2_esk1_2(X1,X2),X2)
| disjoint(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_58_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_59_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_60_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_62_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_62]) ).
cnf(c_0_62_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_62]) ).
cnf(c_0_62_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_62]) ).
cnf(c_0_63_0,axiom,
~ empty(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_63]) ).
cnf(c_0_61_0,axiom,
element(sk2_esk7_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_61]) ).
cnf(c_0_64_0,axiom,
relation(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_64]) ).
cnf(c_0_65_0,axiom,
function(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_65]) ).
cnf(c_0_66_0,axiom,
empty(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_66]) ).
cnf(c_0_67_0,axiom,
relation(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_67]) ).
cnf(c_0_68_0,axiom,
empty(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_68]) ).
cnf(c_0_69_0,axiom,
function(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_69]) ).
cnf(c_0_70_0,axiom,
relation(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_70]) ).
cnf(c_0_71_0,axiom,
function(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_71]) ).
cnf(c_0_72_0,axiom,
one_to_one(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_074,conjecture,
! [X1,X2] :
( relation(X2)
=> ( well_founded_relation(X2)
=> well_founded_relation(relation_restriction(X2,X1)) ) ),
file('<stdin>',t31_wellord1) ).
fof(c_0_1_075,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( well_founded_relation(X2)
=> well_founded_relation(relation_restriction(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_076,negated_conjecture,
( relation(esk2_0)
& well_founded_relation(esk2_0)
& ~ well_founded_relation(relation_restriction(esk2_0,esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_077,negated_conjecture,
~ well_founded_relation(relation_restriction(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_078,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_079,negated_conjecture,
well_founded_relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_080,negated_conjecture,
~ well_founded_relation(relation_restriction(esk2_0,esk1_0)),
c_0_3,
[final] ).
cnf(c_0_7_081,negated_conjecture,
relation(esk2_0),
c_0_4,
[final] ).
cnf(c_0_8_082,negated_conjecture,
well_founded_relation(esk2_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_2,plain,
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_53_2) ).
cnf(c_122575,plain,
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
inference(copy,[status(esa)],[c_2]) ).
cnf(c_131536,plain,
( ~ disjoint(X0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),X0) ),
inference(instantiation,[status(thm)],[c_122575]) ).
cnf(c_216910,plain,
( ~ disjoint(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_131536]) ).
cnf(c_62,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_165_0) ).
cnf(c_122635,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_161730,plain,
( in(X0,fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| empty(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ element(X0,fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_122635]) ).
cnf(c_193898,plain,
( in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| empty(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ element(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_161730]) ).
cnf(c_72,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_155_0) ).
cnf(c_122645,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_131525,plain,
( ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| element(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),X0)
| ~ element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(X0)) ),
inference(instantiation,[status(thm)],[c_122645]) ).
cnf(c_151014,plain,
( ~ in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| element(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))) ),
inference(instantiation,[status(thm)],[c_131525]) ).
cnf(c_5,plain,
( ~ empty(X0)
| ~ element(X1,powerset(X0))
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_54_2) ).
cnf(c_122578,plain,
( ~ empty(X0)
| ~ element(X1,powerset(X0))
| ~ in(X2,X1) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_123117,plain,
( ~ in(sk2_esk1_2(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ empty(X0)
| ~ element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(X0)) ),
inference(instantiation,[status(thm)],[c_122578]) ).
cnf(c_151017,plain,
( ~ in(sk2_esk1_2(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ empty(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| ~ element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))) ),
inference(instantiation,[status(thm)],[c_123117]) ).
cnf(c_77,plain,
( subset(fiber(relation_restriction(X0,X1),X2),fiber(X0,X2))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_150_0) ).
cnf(c_122650,plain,
( subset(fiber(relation_restriction(X0,X1),X2),fiber(X0,X2))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_122702,plain,
( ~ relation(sk3_esk2_0)
| subset(fiber(relation_restriction(sk3_esk2_0,X0),X1),fiber(sk3_esk2_0,X1)) ),
inference(instantiation,[status(thm)],[c_122650]) ).
cnf(c_150707,plain,
( ~ relation(sk3_esk2_0)
| subset(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_122702]) ).
cnf(c_67,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_160_0) ).
cnf(c_122640,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_131571,plain,
( element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(X0))
| ~ subset(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),X0) ),
inference(instantiation,[status(thm)],[c_122640]) ).
cnf(c_150706,plain,
( element(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),powerset(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))))
| ~ subset(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_131571]) ).
cnf(c_9,plain,
( disjoint(X0,X1)
| in(sk2_esk1_2(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_56_1) ).
cnf(c_122582,plain,
( disjoint(X0,X1)
| in(sk2_esk1_2(X0,X1),X1) ),
inference(copy,[status(esa)],[c_9]) ).
cnf(c_123131,plain,
( disjoint(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_122582]) ).
cnf(c_7,plain,
( disjoint(X0,X1)
| in(sk2_esk1_2(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_55_1) ).
cnf(c_122580,plain,
( disjoint(X0,X1)
| in(sk2_esk1_2(X0,X1),X0) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_123133,plain,
( disjoint(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| in(sk2_esk1_2(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_122580]) ).
cnf(c_123077,plain,
( disjoint(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| in(sk2_esk1_2(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))))) ),
inference(instantiation,[status(thm)],[c_122580]) ).
cnf(c_59,plain,
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_168_0) ).
cnf(c_122632,plain,
( disjoint(X0,X1)
| ~ disjoint(X1,X0) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_123079,plain,
( ~ disjoint(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))))
| disjoint(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_122632]) ).
cnf(c_76,plain,
( ~ in(X0,sk1_esk2_1(X1))
| ~ disjoint(fiber(X1,X0),sk1_esk2_1(X1))
| well_founded_relation(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_151_0) ).
cnf(c_206,plain,
( ~ in(X0,sk1_esk2_1(X1))
| ~ disjoint(fiber(X1,X0),sk1_esk2_1(X1))
| well_founded_relation(X1)
| ~ relation(X1) ),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_7997,plain,
( ~ disjoint(fiber(relation_restriction(sk3_esk2_0,X0),X1),sk1_esk2_1(relation_restriction(sk3_esk2_0,X0)))
| ~ in(X1,sk1_esk2_1(relation_restriction(sk3_esk2_0,X0)))
| ~ relation(relation_restriction(sk3_esk2_0,X0))
| well_founded_relation(relation_restriction(sk3_esk2_0,X0)) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_8131,plain,
( ~ disjoint(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),X0),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(X0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| well_founded_relation(relation_restriction(sk3_esk2_0,sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_7997]) ).
cnf(c_56014,plain,
( ~ disjoint(fiber(relation_restriction(sk3_esk2_0,sk3_esk1_0),sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ in(sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| well_founded_relation(relation_restriction(sk3_esk2_0,sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_8131]) ).
cnf(c_74,plain,
( subset(relation_field(relation_restriction(X0,X1)),relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_153_0) ).
cnf(c_204,plain,
( subset(relation_field(relation_restriction(X0,X1)),relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_7951,plain,
( ~ relation(sk3_esk2_0)
| subset(relation_field(relation_restriction(sk3_esk2_0,X0)),relation_field(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_40944,plain,
( ~ relation(sk3_esk2_0)
| subset(relation_field(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_7951]) ).
cnf(c_71,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_156_0) ).
cnf(c_201,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_9128,plain,
( subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0))
| ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),X0)
| ~ subset(X0,relation_field(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_18350,plain,
( ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(relation_restriction(sk3_esk2_0,X0)))
| subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0))
| ~ subset(relation_field(relation_restriction(sk3_esk2_0,X0)),relation_field(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_9128]) ).
cnf(c_28508,plain,
( ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0))
| ~ subset(relation_field(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_18350]) ).
cnf(c_78,plain,
( ~ subset(X0,relation_field(X1))
| ~ well_founded_relation(X1)
| disjoint(fiber(X1,sk1_esk1_2(X1,X0)),X0)
| X0 = empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_149_0) ).
cnf(c_208,plain,
( ~ subset(X0,relation_field(X1))
| ~ well_founded_relation(X1)
| disjoint(fiber(X1,sk1_esk1_2(X1,X0)),X0)
| X0 = empty_set
| ~ relation(X1) ),
inference(copy,[status(esa)],[c_78]) ).
cnf(c_8329,plain,
( disjoint(fiber(X0,sk1_esk1_2(X0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(X0)
| ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(X0))
| ~ well_founded_relation(X0)
| sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)) = empty_set ),
inference(instantiation,[status(thm)],[c_208]) ).
cnf(c_8692,plain,
( disjoint(fiber(sk3_esk2_0,sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(sk3_esk2_0)
| ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0))
| ~ well_founded_relation(sk3_esk2_0)
| sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)) = empty_set ),
inference(instantiation,[status(thm)],[c_8329]) ).
cnf(c_75,plain,
( ~ subset(X0,relation_field(X1))
| ~ well_founded_relation(X1)
| in(sk1_esk1_2(X1,X0),X0)
| X0 = empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_152_0) ).
cnf(c_205,plain,
( ~ subset(X0,relation_field(X1))
| ~ well_founded_relation(X1)
| in(sk1_esk1_2(X1,X0),X0)
| X0 = empty_set
| ~ relation(X1) ),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_8330,plain,
( in(sk1_esk1_2(X0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(X0)
| ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(X0))
| ~ well_founded_relation(X0)
| sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)) = empty_set ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_8665,plain,
( in(sk1_esk1_2(sk3_esk2_0,sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0))),sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| ~ relation(sk3_esk2_0)
| ~ subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(sk3_esk2_0))
| ~ well_founded_relation(sk3_esk2_0)
| sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)) = empty_set ),
inference(instantiation,[status(thm)],[c_8330]) ).
cnf(c_64,plain,
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_163_0) ).
cnf(c_194,plain,
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_64]) ).
cnf(c_7911,plain,
( relation(relation_restriction(sk3_esk2_0,X0))
| ~ relation(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_8311,plain,
( relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| ~ relation(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_7911]) ).
cnf(c_65,plain,
( subset(sk1_esk2_1(X0),relation_field(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_162_0) ).
cnf(c_195,plain,
( subset(sk1_esk2_1(X0),relation_field(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_65]) ).
cnf(c_7980,plain,
( ~ relation(relation_restriction(sk3_esk2_0,X0))
| subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,X0)),relation_field(relation_restriction(sk3_esk2_0,X0)))
| well_founded_relation(relation_restriction(sk3_esk2_0,X0)) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_8124,plain,
( ~ relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| subset(sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)),relation_field(relation_restriction(sk3_esk2_0,sk3_esk1_0)))
| well_founded_relation(relation_restriction(sk3_esk2_0,sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_7980]) ).
cnf(c_58,plain,
( sk1_esk2_1(X0) != empty_set
| well_founded_relation(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_169_0) ).
cnf(c_188,plain,
( sk1_esk2_1(X0) != empty_set
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_7987,plain,
( ~ relation(relation_restriction(sk3_esk2_0,X0))
| well_founded_relation(relation_restriction(sk3_esk2_0,X0))
| sk1_esk2_1(relation_restriction(sk3_esk2_0,X0)) != empty_set ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_8123,plain,
( ~ relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| well_founded_relation(relation_restriction(sk3_esk2_0,sk3_esk1_0))
| sk1_esk2_1(relation_restriction(sk3_esk2_0,sk3_esk1_0)) != empty_set ),
inference(instantiation,[status(thm)],[c_7987]) ).
cnf(c_79,negated_conjecture,
~ well_founded_relation(relation_restriction(sk3_esk2_0,sk3_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_6) ).
cnf(c_80,negated_conjecture,
relation(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_7) ).
cnf(c_81,negated_conjecture,
well_founded_relation(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p',c_0_8) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_216910,c_193898,c_151014,c_151017,c_150707,c_150706,c_123131,c_123133,c_123077,c_123079,c_56014,c_40944,c_28508,c_8692,c_8665,c_8311,c_8124,c_8123,c_79,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU256+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 09:59:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41 % FOF problem with conjecture
% 0.20/0.41 % 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/sandbox/tmp/iprover_proof_d9dcd4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_fbc2ef.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_646ef7 | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.36/0.67 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.67 % --bmc1_dump_file -
% 0.36/0.67 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.67 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.67 % --bmc1_ucm_extend_mode 1
% 0.36/0.67 % --bmc1_ucm_init_mode 2
% 0.36/0.67 % --bmc1_ucm_cone_mode none
% 0.36/0.67 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.67 % --bmc1_ucm_relax_model 4
% 0.36/0.67 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.67 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.67 % --bmc1_ucm_layered_model none
% 0.36/0.67 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.67
% 0.36/0.67 % ------ AIG Options
% 0.36/0.67
% 0.36/0.67 % --aig_mode false
% 0.36/0.67
% 0.36/0.67 % ------ Instantiation Options
% 0.36/0.67
% 0.36/0.67 % --instantiation_flag true
% 0.36/0.67 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.67 % --inst_solver_per_active 750
% 0.36/0.67 % --inst_solver_calls_frac 0.5
% 0.36/0.67 % --inst_passive_queue_type priority_queues
% 0.36/0.67 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.67 % --inst_passive_queues_freq [25;2]
% 0.36/0.67 % --inst_dismatching true
% 0.36/0.67 % --inst_eager_unprocessed_to_passive true
% 0.36/0.67 % --inst_prop_sim_given true
% 0.36/0.67 % --inst_prop_sim_new false
% 0.36/0.67 % --inst_orphan_elimination true
% 0.36/0.67 % --inst_learning_loop_flag true
% 0.36/0.67 % --inst_learning_start 3000
% 0.36/0.67 % --inst_learning_factor 2
% 0.36/0.67 % --inst_start_prop_sim_after_learn 3
% 0.36/0.67 % --inst_sel_renew solver
% 0.36/0.67 % --inst_lit_activity_flag true
% 0.36/0.67 % --inst_out_proof true
% 0.36/0.67
% 0.36/0.67 % ------ Resolution Options
% 0.36/0.67
% 0.36/0.67 % --resolution_flag true
% 0.36/0.67 % --res_lit_sel kbo_max
% 0.36/0.67 % --res_to_prop_solver none
% 0.36/0.67 % --res_prop_simpl_new false
% 0.36/0.67 % --res_prop_simpl_given false
% 0.36/0.67 % --res_passive_queue_type priority_queues
% 0.36/0.67 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.36/0.67 % --res_passive_queues_freq [15;5]
% 0.36/0.67 % --res_forward_subs full
% 0.36/0.67 % --res_backward_subs full
% 0.36/0.67 % --res_forward_subs_resolution true
% 0.36/0.67 % --res_backward_subs_resolution true
% 0.36/0.67 % --res_orphan_elimination false
% 0.36/0.67 % --res_time_limit 1000.
% 0.36/0.67 % --res_out_proof true
% 0.36/0.67 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d9dcd4.s
% 0.36/0.67 % --modulo true
% 0.36/0.67
% 0.36/0.67 % ------ Combination Options
% 0.36/0.67
% 0.36/0.67 % --comb_res_mult 1000
% 0.36/0.67 % --comb_inst_mult 300
% 0.36/0.67 % ------
% 0.36/0.67
% 0.36/0.67 % ------ Parsing...% successful
% 0.36/0.67
% 0.36/0.67 % ------ 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 %
% 0.36/0.67
% 0.36/0.67 % ------ Proving...
% 0.36/0.67 % ------ Problem Properties
% 0.36/0.67
% 0.36/0.67 %
% 0.36/0.67 % EPR false
% 0.36/0.67 % Horn false
% 0.36/0.67 % Has equality true
% 0.36/0.67
% 0.36/0.67 % % ------ Input Options Time Limit: Unbounded
% 0.36/0.67
% 0.36/0.67
% 0.36/0.67 Compiling...
% 0.36/0.67 Loading plugin: done.
% 0.36/0.67 Compiling...
% 0.36/0.67 Loading plugin: done.
% 0.36/0.67 % % ------ Current options:
% 0.36/0.67
% 0.36/0.67 % ------ Input Options
% 0.36/0.67
% 0.36/0.67 % --out_options all
% 0.36/0.67 % --tptp_safe_out true
% 0.36/0.67 % --problem_path ""
% 0.36/0.67 % --include_path ""
% 0.36/0.67 % --clausifier .//eprover
% 0.36/0.67 % --clausifier_options --tstp-format
% 0.36/0.67 % --stdin false
% 0.36/0.67 % --dbg_backtrace false
% 0.36/0.67 % --dbg_dump_prop_clauses false
% 0.36/0.67 % --dbg_dump_prop_clauses_file -
% 0.36/0.67 % --dbg_out_stat false
% 0.36/0.67
% 0.36/0.67 % ------ General Options
% 0.36/0.67
% 0.36/0.67 % --fof false
% 0.36/0.67 % --time_out_real 150.
% 0.36/0.67 % --time_out_prep_mult 0.2
% 0.36/0.67 % --time_out_virtual -1.
% 0.36/0.67 % --schedule none
% 0.36/0.67 % --ground_splitting input
% 0.36/0.67 % --splitting_nvd 16
% 0.36/0.67 % --non_eq_to_eq false
% 0.36/0.67 % --prep_gs_sim true
% 0.36/0.67 % --prep_unflatten false
% 0.36/0.67 % --prep_res_sim true
% 0.36/0.67 % --prep_upred true
% 0.36/0.67 % --res_sim_input true
% 0.36/0.67 % --clause_weak_htbl true
% 0.36/0.67 % --gc_record_bc_elim false
% 0.36/0.67 % --symbol_type_check false
% 0.36/0.67 % --clausify_out false
% 0.36/0.67 % --large_theory_mode false
% 0.36/0.67 % --prep_sem_filter none
% 0.36/0.67 % --prep_sem_filter_out false
% 0.36/0.67 % --preprocessed_out false
% 0.36/0.67 % --sub_typing false
% 0.36/0.67 % --brand_transform false
% 0.36/0.67 % --pure_diseq_elim true
% 0.36/0.67 % --min_unsat_core false
% 0.36/0.67 % --pred_elim true
% 0.36/0.67 % --add_important_lit false
% 0.36/0.67 % --soft_assumptions false
% 0.36/0.67 % --reset_solvers false
% 0.36/0.67 % --bc_imp_inh []
% 0.36/0.67 % --conj_cone_tolerance 1.5
% 0.36/0.67 % --prolific_symb_bound 500
% 0.36/0.67 % --lt_threshold 2000
% 0.36/0.67
% 0.36/0.67 % ------ SAT Options
% 0.36/0.67
% 0.36/0.67 % --sat_mode false
% 0.36/0.67 % --sat_fm_restart_options ""
% 0.36/0.67 % --sat_gr_def false
% 0.36/0.67 % --sat_epr_types true
% 0.36/0.67 % --sat_non_cyclic_types false
% 0.36/0.67 % --sat_finite_models false
% 0.36/0.67 % --sat_fm_lemmas false
% 0.36/0.67 % --sat_fm_prep false
% 0.36/0.67 % --sat_fm_uc_incr true
% 0.36/0.67 % --sat_out_model small
% 0.36/0.67 % --sat_out_clauses false
% 0.36/0.67
% 0.36/0.67 % ------ QBF Options
% 0.36/0.67
% 0.36/0.67 % --qbf_mode false
% 0.36/0.67 % --qbf_elim_univ true
% 0.36/0.67 % --qbf_sk_in true
% 0.36/0.67 % --qbf_pred_elim true
% 0.36/0.67 % --qbf_split 32
% 0.36/0.67
% 0.36/0.67 % ------ BMC1 Options
% 0.36/0.67
% 0.36/0.67 % --bmc1_incremental false
% 0.36/0.67 % --bmc1_axioms reachable_all
% 0.36/0.67 % --bmc1_min_bound 0
% 0.36/0.67 % --bmc1_max_bound -1
% 0.36/0.67 % --bmc1_max_bound_default -1
% 0.36/0.67 % --bmc1_symbol_reachability true
% 0.36/0.67 % --bmc1_property_lemmas false
% 0.36/0.67 % --bmc1_k_induction false
% 0.36/0.67 % --bmc1_non_equiv_states false
% 0.36/0.67 % --bmc1_deadlock false
% 0.36/0.67 % --bmc1_ucm false
% 0.36/0.67 % --bmc1_add_unsat_core none
% 0.36/0.67 % --bmc1_unsat_core_children false
% 0.36/0.67 % --bmc1_unsat_core_extrapolate_axioms false
% 0.36/0.67 % --bmc1_out_stat full
% 0.36/0.67 % --bmc1_ground_init false
% 0.36/0.67 % --bmc1_pre_inst_next_state false
% 0.36/0.67 % --bmc1_pre_inst_state false
% 0.36/0.67 % --bmc1_pre_inst_reach_state false
% 0.36/0.67 % --bmc1_out_unsat_core false
% 0.36/0.67 % --bmc1_aig_witness_out false
% 0.36/0.67 % --bmc1_verbose false
% 0.36/0.67 % --bmc1_dump_clauses_tptp false
% 0.36/0.67 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.67 % --bmc1_dump_file -
% 0.36/0.67 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.67 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.67 % --bmc1_ucm_extend_mode 1
% 0.36/0.67 % --bmc1_ucm_init_mode 2
% 0.36/0.67 % --bmc1_ucm_cone_mode none
% 0.36/0.67 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.67 % --bmc1_ucm_relax_model 4
% 0.36/0.67 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.67 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.67 % --bmc1_ucm_layered_model none
% 0.36/0.67 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.67
% 0.36/0.67 % ------ AIG Options
% 0.36/0.67
% 0.36/0.67 % --aig_mode false
% 0.36/0.67
% 0.36/0.67 % ------ Instantiation Options
% 0.36/0.67
% 0.36/0.67 % --instantiation_flag true
% 0.36/0.67 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.67 % --inst_solver_per_active 750
% 0.36/0.67 % --inst_solver_calls_frac 0.5
% 0.36/0.67 % --inst_passive_queue_type priority_queues
% 0.36/0.67 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.67 % --inst_passive_queues_freq [25;2]
% 0.36/0.67 % --inst_dismatching true
% 9.26/9.48 % --inst_eager_unprocessed_to_passive true
% 9.26/9.48 % --inst_prop_sim_given true
% 9.26/9.48 % --inst_prop_sim_new false
% 9.26/9.48 % --inst_orphan_elimination true
% 9.26/9.48 % --inst_learning_loop_flag true
% 9.26/9.48 % --inst_learning_start 3000
% 9.26/9.48 % --inst_learning_factor 2
% 9.26/9.48 % --inst_start_prop_sim_after_learn 3
% 9.26/9.48 % --inst_sel_renew solver
% 9.26/9.48 % --inst_lit_activity_flag true
% 9.26/9.48 % --inst_out_proof true
% 9.26/9.48
% 9.26/9.48 % ------ Resolution Options
% 9.26/9.48
% 9.26/9.48 % --resolution_flag true
% 9.26/9.48 % --res_lit_sel kbo_max
% 9.26/9.48 % --res_to_prop_solver none
% 9.26/9.48 % --res_prop_simpl_new false
% 9.26/9.48 % --res_prop_simpl_given false
% 9.26/9.48 % --res_passive_queue_type priority_queues
% 9.26/9.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.26/9.48 % --res_passive_queues_freq [15;5]
% 9.26/9.48 % --res_forward_subs full
% 9.26/9.48 % --res_backward_subs full
% 9.26/9.48 % --res_forward_subs_resolution true
% 9.26/9.48 % --res_backward_subs_resolution true
% 9.26/9.48 % --res_orphan_elimination false
% 9.26/9.48 % --res_time_limit 1000.
% 9.26/9.48 % --res_out_proof true
% 9.26/9.48 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d9dcd4.s
% 9.26/9.48 % --modulo true
% 9.26/9.48
% 9.26/9.48 % ------ Combination Options
% 9.26/9.48
% 9.26/9.48 % --comb_res_mult 1000
% 9.26/9.48 % --comb_inst_mult 300
% 9.26/9.48 % ------
% 9.26/9.48
% 9.26/9.48
% 9.26/9.48
% 9.26/9.48 % ------ Proving...
% 9.26/9.48 %
% 9.26/9.48
% 9.26/9.48
% 9.26/9.48 % ------ Statistics
% 9.26/9.48
% 9.26/9.48 % ------ General
% 9.26/9.48
% 9.26/9.48 % num_of_input_clauses: 82
% 9.26/9.48 % num_of_input_neg_conjectures: 3
% 9.26/9.48 % num_of_splits: 0
% 9.26/9.48 % num_of_split_atoms: 0
% 9.26/9.48 % num_of_sem_filtered_clauses: 0
% 9.26/9.48 % num_of_subtypes: 0
% 9.26/9.48 % monotx_restored_types: 0
% 9.26/9.48 % sat_num_of_epr_types: 0
% 9.26/9.48 % sat_num_of_non_cyclic_types: 0
% 9.26/9.48 % sat_guarded_non_collapsed_types: 0
% 9.26/9.48 % is_epr: 0
% 9.26/9.48 % is_horn: 0
% 9.26/9.48 % has_eq: 1
% 9.26/9.48 % num_pure_diseq_elim: 0
% 9.26/9.48 % simp_replaced_by: 0
% 9.26/9.48 % res_preprocessed: 6
% 9.26/9.48 % prep_upred: 0
% 9.26/9.48 % prep_unflattend: 0
% 9.26/9.48 % pred_elim_cands: 0
% 9.26/9.48 % pred_elim: 0
% 9.26/9.48 % pred_elim_cl: 0
% 9.26/9.48 % pred_elim_cycles: 0
% 9.26/9.48 % forced_gc_time: 0
% 9.26/9.48 % gc_basic_clause_elim: 0
% 9.26/9.48 % parsing_time: 0.002
% 9.26/9.48 % sem_filter_time: 0.
% 9.26/9.48 % pred_elim_time: 0.
% 9.26/9.48 % out_proof_time: 0.008
% 9.26/9.48 % monotx_time: 0.
% 9.26/9.48 % subtype_inf_time: 0.
% 9.26/9.48 % unif_index_cands_time: 0.054
% 9.26/9.48 % unif_index_add_time: 0.137
% 9.26/9.48 % total_time: 9.065
% 9.26/9.48 % num_of_symbols: 55
% 9.26/9.48 % num_of_terms: 296566
% 9.26/9.48
% 9.26/9.48 % ------ Propositional Solver
% 9.26/9.48
% 9.26/9.48 % prop_solver_calls: 29
% 9.26/9.48 % prop_fast_solver_calls: 9
% 9.26/9.48 % prop_num_of_clauses: 35334
% 9.26/9.48 % prop_preprocess_simplified: 31514
% 9.26/9.48 % prop_fo_subsumed: 0
% 9.26/9.48 % prop_solver_time: 0.021
% 9.26/9.48 % prop_fast_solver_time: 0.
% 9.26/9.48 % prop_unsat_core_time: 0.005
% 9.26/9.48
% 9.26/9.48 % ------ QBF
% 9.26/9.48
% 9.26/9.48 % qbf_q_res: 0
% 9.26/9.48 % qbf_num_tautologies: 0
% 9.26/9.48 % qbf_prep_cycles: 0
% 9.26/9.48
% 9.26/9.48 % ------ BMC1
% 9.26/9.48
% 9.26/9.48 % bmc1_current_bound: -1
% 9.26/9.48 % bmc1_last_solved_bound: -1
% 9.26/9.48 % bmc1_unsat_core_size: -1
% 9.26/9.48 % bmc1_unsat_core_parents_size: -1
% 9.26/9.48 % bmc1_merge_next_fun: 0
% 9.26/9.48 % bmc1_unsat_core_clauses_time: 0.
% 9.26/9.48
% 9.26/9.48 % ------ Instantiation
% 9.26/9.48
% 9.26/9.48 % inst_num_of_clauses: 10094
% 9.26/9.48 % inst_num_in_passive: 4540
% 9.26/9.48 % inst_num_in_active: 2753
% 9.26/9.48 % inst_num_in_unprocessed: 2729
% 9.26/9.48 % inst_num_of_loops: 2888
% 9.26/9.48 % inst_num_of_learning_restarts: 1
% 9.26/9.48 % inst_num_moves_active_passive: 63
% 9.26/9.48 % inst_lit_activity: 732
% 9.26/9.48 % inst_lit_activity_moves: 0
% 9.26/9.48 % inst_num_tautologies: 67
% 9.26/9.48 % inst_num_prop_implied: 0
% 9.26/9.48 % inst_num_existing_simplified: 0
% 9.26/9.48 % inst_num_eq_res_simplified: 0
% 9.26/9.48 % inst_num_child_elim: 0
% 9.26/9.48 % inst_num_of_dismatching_blockings: 2182
% 9.26/9.48 % inst_num_of_non_proper_insts: 5980
% 9.26/9.48 % inst_num_of_duplicates: 2097
% 9.26/9.48 % inst_inst_num_from_inst_to_res: 0
% 9.26/9.48 % inst_dismatching_checking_time: 0.195
% 9.26/9.48
% 9.26/9.48 % ------ Resolution
% 9.26/9.48
% 9.26/9.48 % res_num_of_clauses: 39894
% 9.26/9.48 % res_num_in_passive: 19853
% 9.26/9.48 % res_num_in_active: 20000
% 9.26/9.48 % res_num_of_loops: 20000
% 9.26/9.48 % res_forward_subset_subsumed: 21
% 9.26/9.48 % res_backward_subset_subsumed: 0
% 9.26/9.48 % res_forward_subsumed: 48
% 9.26/9.48 % res_backward_subsumed: 0
% 9.26/9.48 % res_forward_subsumption_resolution: 13
% 9.26/9.48 % res_backward_subsumption_resolution: 0
% 9.26/9.48 % res_clause_to_clause_subsumption: 92707
% 9.26/9.48 % res_orphan_elimination: 0
% 9.26/9.48 % res_tautology_del: 8
% 9.26/9.48 % res_num_eq_res_simplified: 0
% 9.26/9.48 % res_num_sel_changes: 0
% 9.26/9.48 % res_moves_from_active_to_pass: 0
% 9.26/9.48
% 9.26/9.48 % Status Unsatisfiable
% 9.26/9.48 % SZS status Theorem
% 9.26/9.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------