%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 10:27:31 EDT 2022
% Result : Theorem 35.95s 36.12s
% Output : CNFRefutation 35.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ empty(A)
| A = empty_set ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( element(A,C)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( element(A,powerset(B))
| ~ subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ element(A,powerset(B))
| subset(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( in(A,B)
=> element(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ in(A,B)
| element(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(t106_zfmisc_1,axiom,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ),
input ).
fof(t106_zfmisc_1_0,plain,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
| ~ ( in(A,C)
& in(B,D) ) ),
inference(orientation,[status(thm)],[t106_zfmisc_1]) ).
fof(t106_zfmisc_1_1,plain,
! [A,B,C,D] :
( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
| ( in(A,C)
& in(B,D) ) ),
inference(orientation,[status(thm)],[t106_zfmisc_1]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( subset(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
input ).
fof(redefinition_m2_relset_1_0,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
| ~ relation_of2(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_m2_relset_1_1,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| relation_of2(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ empty(A)
=> ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( empty(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ empty(A)
& ~ empty(B) )
=> ~ empty(cartesian_product2(A,B)) ),
input ).
fof(fc4_subset_1_0,plain,
! [A,B] :
( ~ empty(cartesian_product2(A,B))
| ~ ( ~ empty(A)
& ~ empty(B) ) ),
inference(orientation,[status(thm)],[fc4_subset_1]) ).
fof(fc3_subset_1,axiom,
! [A,B] : ~ empty(unordered_pair(A,B)),
input ).
fof(fc3_subset_1_0,plain,
! [A,B] :
( ~ empty(unordered_pair(A,B))
| $false ),
inference(orientation,[status(thm)],[fc3_subset_1]) ).
fof(fc2_subset_1,axiom,
! [A] : ~ empty(singleton(A)),
input ).
fof(fc2_subset_1_0,plain,
! [A] :
( ~ empty(singleton(A))
| $false ),
inference(orientation,[status(thm)],[fc2_subset_1]) ).
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(fc1_subset_1,axiom,
! [A] : ~ empty(powerset(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ empty(powerset(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_u1_orders_2,axiom,
! [A] :
( rel_str(A)
=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
input ).
fof(dt_u1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
inference(orientation,[status(thm)],[dt_u1_orders_2]) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> element(C,powerset(cartesian_product2(A,B))) ),
input ).
fof(dt_m2_relset_1_0,plain,
! [A,B,C] :
( ~ relation_of2_as_subset(C,A,B)
| element(C,powerset(cartesian_product2(A,B))) ),
inference(orientation,[status(thm)],[dt_m2_relset_1]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_m1_relset_1,axiom,
$true,
input ).
fof(dt_m1_relset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_relset_1]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
input ).
fof(dt_l1_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| one_sorted_str(A) ),
inference(orientation,[status(thm)],[dt_l1_orders_2]) ).
fof(dt_k4_tarski,axiom,
$true,
input ).
fof(dt_k4_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k4_tarski]) ).
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_tarski,axiom,
$true,
input ).
fof(dt_k2_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_tarski]) ).
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_tarski,axiom,
$true,
input ).
fof(dt_k1_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_tarski]) ).
fof(d9_orders_2,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( related(A,B,C)
<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ),
input ).
fof(d9_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( related(A,B,C)
<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ),
inference(orientation,[status(thm)],[d9_orders_2]) ).
fof(d6_orders_2,axiom,
! [A] :
( rel_str(A)
=> ( antisymmetric_relstr(A)
<=> is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) ) ),
input ).
fof(d6_orders_2_0,plain,
! [A] :
( ~ rel_str(A)
| ( antisymmetric_relstr(A)
<=> is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) ) ),
inference(orientation,[status(thm)],[d6_orders_2]) ).
fof(d5_tarski,axiom,
! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)),
input ).
fof(d5_tarski_0,plain,
! [A,B] :
( ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A))
| $false ),
inference(orientation,[status(thm)],[d5_tarski]) ).
fof(d4_relat_2,axiom,
! [A] :
( relation(A)
=> ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(C,B)
& in(D,B)
& in(ordered_pair(C,D),A)
& in(ordered_pair(D,C),A) )
=> C = D ) ) ),
input ).
fof(d4_relat_2_0,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(C,B)
& in(D,B)
& in(ordered_pair(C,D),A)
& in(ordered_pair(D,C),A) )
=> C = D ) ) ),
inference(orientation,[status(thm)],[d4_relat_2]) ).
fof(commutativity_k2_tarski,axiom,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
input ).
fof(commutativity_k2_tarski_0,plain,
! [A,B] :
( unordered_pair(A,B) = unordered_pair(B,A)
| $false ),
inference(orientation,[status(thm)],[commutativity_k2_tarski]) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
input ).
fof(cc1_relset_1_0,plain,
! [A,B,C] :
( ~ element(C,powerset(cartesian_product2(A,B)))
| relation(C) ),
inference(orientation,[status(thm)],[cc1_relset_1]) ).
fof(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,
! [C,B,A] :
( lhs_atom2(C,B,A)
<=> ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [A,B,C] :
( lhs_atom2(C,B,A)
| relation(C) ),
inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [B,A] :
( lhs_atom3(B,A)
<=> unordered_pair(A,B) = unordered_pair(B,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
! [A,B] :
( lhs_atom3(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k2_tarski_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> ~ relation(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( is_antisymmetric_in(A,B)
<=> ! [C,D] :
( ( in(C,B)
& in(D,B)
& in(ordered_pair(C,D),A)
& in(ordered_pair(D,C),A) )
=> C = D ) ) ),
inference(fold_definition,[status(thm)],[d4_relat_2_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [B,A] :
( lhs_atom5(B,A)
<=> ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A,B] :
( lhs_atom5(B,A)
| $false ),
inference(fold_definition,[status(thm)],[d5_tarski_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [A] :
( lhs_atom6(A)
<=> ~ rel_str(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom6(A)
| ( antisymmetric_relstr(A)
<=> is_antisymmetric_in(the_InternalRel(A),the_carrier(A)) ) ),
inference(fold_definition,[status(thm)],[d6_orders_2_0,def_lhs_atom6]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom6(A)
| ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( related(A,B,C)
<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) ) ),
inference(fold_definition,[status(thm)],[d9_orders_2_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_tarski_0,def_lhs_atom7]) ).
fof(to_be_clausified_8,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_9,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_10,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_tarski_0,def_lhs_atom7]) ).
fof(to_be_clausified_11,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_12,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k4_tarski_0,def_lhs_atom7]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom6(A)
| one_sorted_str(A) ),
inference(fold_definition,[status(thm)],[dt_l1_orders_2_0,def_lhs_atom6]) ).
fof(to_be_clausified_14,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_15,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_16,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [C,B,A] :
( lhs_atom8(C,B,A)
<=> ~ relation_of2_as_subset(C,A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [A,B,C] :
( lhs_atom8(C,B,A)
| element(C,powerset(cartesian_product2(A,B))) ),
inference(fold_definition,[status(thm)],[dt_m2_relset_1_0,def_lhs_atom8]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom6(A)
| relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
inference(fold_definition,[status(thm)],[dt_u1_orders_2_0,def_lhs_atom6]) ).
fof(to_be_clausified_19,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom9,axiom,
! [A] :
( lhs_atom9(A)
<=> ~ empty(powerset(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom9(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> empty(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ empty(singleton(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[fc2_subset_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [B,A] :
( lhs_atom12(B,A)
<=> ~ empty(unordered_pair(A,B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom12(B,A)
| $false ),
inference(fold_definition,[status(thm)],[fc3_subset_1_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [B,A] :
( lhs_atom13(B,A)
<=> ~ empty(cartesian_product2(A,B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom13(B,A)
| ~ ( ~ empty(A)
& ~ empty(B) ) ),
inference(fold_definition,[status(thm)],[fc4_subset_1_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [A] :
( lhs_atom14(A)
| ? [B] :
( element(B,powerset(A))
& ~ empty(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom14]) ).
fof(to_be_clausified_26,plain,
! [A,B,C] :
( lhs_atom8(C,B,A)
| relation_of2(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom8]) ).
fof(def_lhs_atom15,axiom,
! [C,B,A] :
( lhs_atom15(C,B,A)
<=> relation_of2_as_subset(C,A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_27,plain,
! [A,B,C] :
( lhs_atom15(C,B,A)
| ~ relation_of2(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [A] :
( lhs_atom16(A)
<=> subset(A,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [A] :
( lhs_atom16(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [D,C,B,A] :
( lhs_atom17(D,C,B,A)
<=> ~ in(ordered_pair(A,B),cartesian_product2(C,D)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [A,B,C,D] :
( lhs_atom17(D,C,B,A)
| ( in(A,C)
& in(B,D) ) ),
inference(fold_definition,[status(thm)],[t106_zfmisc_1_1,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [D,C,B,A] :
( lhs_atom18(D,C,B,A)
<=> in(ordered_pair(A,B),cartesian_product2(C,D)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_30,plain,
! [A,B,C,D] :
( lhs_atom18(D,C,B,A)
| ~ ( in(A,C)
& in(B,D) ) ),
inference(fold_definition,[status(thm)],[t106_zfmisc_1_0,def_lhs_atom18]) ).
fof(to_be_clausified_31,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ element(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_32,plain,
! [A,B] :
( lhs_atom19(B,A)
| empty(B)
| in(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,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_1,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [B,A] :
( lhs_atom21(B,A)
<=> element(A,powerset(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_34,plain,
! [A,B] :
( lhs_atom21(B,A)
| ~ subset(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [C,A] :
( lhs_atom22(C,A)
<=> element(A,C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_35,plain,
! [A,B,C] :
( lhs_atom22(C,A)
| ~ ( in(A,B)
& element(B,powerset(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [A] :
( lhs_atom23(A)
<=> ~ empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_36,plain,
! [A] :
( lhs_atom23(A)
| A = empty_set ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom23]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X4,X3,X1,X2] :
( lhs_atom18(X4,X3,X1,X2)
| ~ ( in(X2,X3)
& in(X1,X4) ) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_1,axiom,
! [X4,X3,X1,X2] :
( lhs_atom17(X4,X3,X1,X2)
| ( in(X2,X3)
& in(X1,X4) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_2,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( is_antisymmetric_in(X2,X1)
<=> ! [X3,X4] :
( ( in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X3,X4),X2)
& in(ordered_pair(X4,X3),X2) )
=> X3 = X4 ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_3,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( element(X1,the_carrier(X2))
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( related(X2,X1,X3)
<=> in(ordered_pair(X1,X3),the_InternalRel(X2)) ) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom15(X3,X1,X2)
| ~ relation_of2(X3,X2,X1) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_5,axiom,
! [X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X2,X1))) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_6,axiom,
! [X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_of2(X3,X2,X1) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_7,axiom,
! [X2] :
( lhs_atom6(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_8,axiom,
! [X3,X1,X2] :
( lhs_atom22(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_9,axiom,
! [X3,X1,X2] :
( lhs_atom2(X3,X1,X2)
| relation(X3) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_10,axiom,
! [X2] :
( lhs_atom6(X2)
| ( antisymmetric_relstr(X2)
<=> is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ subset(X2,X1) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom14(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_15,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| subset(X2,X1) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_17,axiom,
! [X1,X2] :
( lhs_atom13(X1,X2)
| ~ ( ~ empty(X2)
& ~ empty(X1) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_18,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_19,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_20,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom6(X2)
| one_sorted_str(X2) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom23(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_23,axiom,
! [X2] :
( lhs_atom16(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_24,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_25,axiom,
! [X2] :
( lhs_atom9(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_26,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_27,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_28,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_29,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_30,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_31,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_32,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_33,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_34,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_35,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_36,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_37,axiom,
! [X4,X3,X1,X2] :
( lhs_atom18(X4,X3,X1,X2)
| ~ ( in(X2,X3)
& in(X1,X4) ) ),
c_0_0 ).
fof(c_0_38,axiom,
! [X4,X3,X1,X2] :
( lhs_atom17(X4,X3,X1,X2)
| ( in(X2,X3)
& in(X1,X4) ) ),
c_0_1 ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( is_antisymmetric_in(X2,X1)
<=> ! [X3,X4] :
( ( in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X3,X4),X2)
& in(ordered_pair(X4,X3),X2) )
=> X3 = X4 ) ) ),
c_0_2 ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom6(X2)
| ! [X1] :
( element(X1,the_carrier(X2))
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( related(X2,X1,X3)
<=> in(ordered_pair(X1,X3),the_InternalRel(X2)) ) ) ) ),
c_0_3 ).
fof(c_0_41,plain,
! [X3,X1,X2] :
( lhs_atom15(X3,X1,X2)
| ~ relation_of2(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_42,axiom,
! [X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X2,X1))) ),
c_0_5 ).
fof(c_0_43,axiom,
! [X3,X1,X2] :
( lhs_atom8(X3,X1,X2)
| relation_of2(X3,X2,X1) ),
c_0_6 ).
fof(c_0_44,axiom,
! [X2] :
( lhs_atom6(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
c_0_7 ).
fof(c_0_45,axiom,
! [X3,X1,X2] :
( lhs_atom22(X3,X2)
| ~ ( in(X2,X1)
& element(X1,powerset(X3)) ) ),
c_0_8 ).
fof(c_0_46,axiom,
! [X3,X1,X2] :
( lhs_atom2(X3,X1,X2)
| relation(X3) ),
c_0_9 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom6(X2)
| ( antisymmetric_relstr(X2)
<=> is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)) ) ),
c_0_10 ).
fof(c_0_48,plain,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ subset(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_49,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_50,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_13 ).
fof(c_0_51,plain,
! [X2] :
( lhs_atom14(X2)
| ? [X1] :
( element(X1,powerset(X2))
& ~ empty(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_52,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| subset(X2,X1) ),
c_0_15 ).
fof(c_0_53,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_16 ).
fof(c_0_54,plain,
! [X1,X2] :
( lhs_atom13(X1,X2)
| ~ ( ~ empty(X2)
& ~ empty(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_55,plain,
! [X1,X2] : lhs_atom12(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_56,plain,
! [X1,X2] : lhs_atom5(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_57,plain,
! [X1,X2] : lhs_atom3(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_58,axiom,
! [X2] :
( lhs_atom6(X2)
| one_sorted_str(X2) ),
c_0_21 ).
fof(c_0_59,axiom,
! [X2] :
( lhs_atom23(X2)
| X2 = empty_set ),
c_0_22 ).
fof(c_0_60,plain,
! [X2] : lhs_atom16(X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_61,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_62,plain,
! [X2] : lhs_atom9(X2),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_63,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_64,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_65,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_66,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_67,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_68,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_69,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_70,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_71,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_72,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_73,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_74,plain,
! [X5,X6,X7,X8] :
( lhs_atom18(X5,X6,X7,X8)
| ~ in(X8,X6)
| ~ in(X7,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_75,plain,
! [X5,X6,X7,X8] :
( ( in(X8,X6)
| lhs_atom17(X5,X6,X7,X8) )
& ( in(X7,X5)
| lhs_atom17(X5,X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_76,plain,
! [X5,X6,X7,X8,X9] :
( ( ~ is_antisymmetric_in(X5,X6)
| ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8
| lhs_atom4(X5) )
& ( in(esk1_2(X5,X9),X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom4(X5) )
& ( in(esk2_2(X5,X9),X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom4(X5) )
& ( in(ordered_pair(esk1_2(X5,X9),esk2_2(X5,X9)),X5)
| is_antisymmetric_in(X5,X9)
| lhs_atom4(X5) )
& ( in(ordered_pair(esk2_2(X5,X9),esk1_2(X5,X9)),X5)
| is_antisymmetric_in(X5,X9)
| lhs_atom4(X5) )
& ( esk1_2(X5,X9) != esk2_2(X5,X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom4(X5) ) ),
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_39])])])])])]) ).
fof(c_0_77,plain,
! [X4,X5,X6] :
( ( ~ related(X4,X5,X6)
| in(ordered_pair(X5,X6),the_InternalRel(X4))
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| lhs_atom6(X4) )
& ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
| related(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| lhs_atom6(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_78,plain,
! [X4,X5,X6] :
( lhs_atom15(X4,X5,X6)
| ~ relation_of2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_79,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| element(X4,powerset(cartesian_product2(X6,X5))) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_80,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5,X6)
| relation_of2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_81,plain,
! [X3] :
( lhs_atom6(X3)
| relation_of2_as_subset(the_InternalRel(X3),the_carrier(X3),the_carrier(X3)) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_82,plain,
! [X4,X5,X6] :
( lhs_atom22(X4,X6)
| ~ in(X6,X5)
| ~ element(X5,powerset(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_83,plain,
! [X4,X5,X6] :
( lhs_atom2(X4,X5,X6)
| relation(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_46])])]) ).
fof(c_0_84,plain,
! [X3] :
( ( ~ antisymmetric_relstr(X3)
| is_antisymmetric_in(the_InternalRel(X3),the_carrier(X3))
| lhs_atom6(X3) )
& ( ~ is_antisymmetric_in(the_InternalRel(X3),the_carrier(X3))
| antisymmetric_relstr(X3)
| lhs_atom6(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_85,plain,
! [X3,X4] :
( lhs_atom21(X3,X4)
| ~ subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_86,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_87,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_88,plain,
! [X3] :
( ( element(esk3_1(X3),powerset(X3))
| lhs_atom14(X3) )
& ( ~ empty(esk3_1(X3))
| lhs_atom14(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])])]) ).
fof(c_0_89,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| subset(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_90,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_91,plain,
! [X3,X4] :
( lhs_atom13(X3,X4)
| empty(X4)
| empty(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
fof(c_0_92,plain,
! [X3,X4] : lhs_atom12(X3,X4),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_93,plain,
! [X3,X4] : lhs_atom5(X3,X4),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_94,plain,
! [X3,X4] : lhs_atom3(X3,X4),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_95,plain,
! [X3] :
( lhs_atom6(X3)
| one_sorted_str(X3) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_96,plain,
! [X3] :
( lhs_atom23(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_97,plain,
! [X3] : lhs_atom16(X3),
inference(variable_rename,[status(thm)],[c_0_60]) ).
fof(c_0_98,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_99,plain,
! [X3] : lhs_atom9(X3),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_100,plain,
lhs_atom10,
c_0_63 ).
fof(c_0_101,plain,
lhs_atom7,
c_0_64 ).
fof(c_0_102,plain,
lhs_atom7,
c_0_65 ).
fof(c_0_103,plain,
lhs_atom7,
c_0_66 ).
fof(c_0_104,plain,
lhs_atom7,
c_0_67 ).
fof(c_0_105,plain,
lhs_atom7,
c_0_68 ).
fof(c_0_106,plain,
lhs_atom7,
c_0_69 ).
fof(c_0_107,plain,
lhs_atom7,
c_0_70 ).
fof(c_0_108,plain,
lhs_atom7,
c_0_71 ).
fof(c_0_109,plain,
lhs_atom7,
c_0_72 ).
fof(c_0_110,plain,
lhs_atom7,
c_0_73 ).
cnf(c_0_111,plain,
( lhs_atom18(X2,X4,X1,X3)
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_112,plain,
( lhs_atom17(X1,X2,X3,X4)
| in(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_113,plain,
( lhs_atom17(X1,X2,X3,X4)
| in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_114,plain,
( lhs_atom4(X1)
| X2 = X3
| ~ in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X1)
| ~ in(X3,X4)
| ~ in(X2,X4)
| ~ is_antisymmetric_in(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_115,plain,
( lhs_atom6(X1)
| in(ordered_pair(X2,X3),the_InternalRel(X1))
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_116,plain,
( lhs_atom6(X1)
| related(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_117,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_118,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_119,plain,
( lhs_atom15(X1,X3,X2)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_120,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| lhs_atom8(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_121,plain,
( relation_of2(X1,X2,X3)
| lhs_atom8(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_122,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| lhs_atom6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_123,plain,
( lhs_atom22(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| esk1_2(X1,X2) != esk2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_125,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_126,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_127,plain,
( relation(X1)
| lhs_atom2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_128,plain,
( lhs_atom6(X1)
| antisymmetric_relstr(X1)
| ~ is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_129,plain,
( lhs_atom6(X1)
| is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ antisymmetric_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_130,plain,
( lhs_atom21(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_131,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_132,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_133,plain,
( lhs_atom14(X1)
| element(esk3_1(X1),powerset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_134,plain,
( subset(X1,X2)
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_135,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_136,plain,
( empty(X1)
| empty(X2)
| lhs_atom13(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_137,plain,
( lhs_atom14(X1)
| ~ empty(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_138,plain,
lhs_atom12(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_139,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_140,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_141,plain,
( one_sorted_str(X1)
| lhs_atom6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_142,plain,
( X1 = empty_set
| lhs_atom23(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_143,plain,
lhs_atom16(X1),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_144,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_145,plain,
lhs_atom9(X1),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_146,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_147,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_148,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_149,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_150,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_151,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_152,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_153,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_154,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_155,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_156,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_157,plain,
( lhs_atom18(X2,X4,X1,X3)
| ~ in(X1,X2)
| ~ in(X3,X4) ),
c_0_111,
[final] ).
cnf(c_0_158,plain,
( lhs_atom17(X1,X2,X3,X4)
| in(X4,X2) ),
c_0_112,
[final] ).
cnf(c_0_159,plain,
( lhs_atom17(X1,X2,X3,X4)
| in(X3,X1) ),
c_0_113,
[final] ).
cnf(c_0_160,plain,
( lhs_atom4(X1)
| X2 = X3
| ~ in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X1)
| ~ in(X3,X4)
| ~ in(X2,X4)
| ~ is_antisymmetric_in(X1,X4) ),
c_0_114,
[final] ).
cnf(c_0_161,plain,
( lhs_atom6(X1)
| in(ordered_pair(X2,X3),the_InternalRel(X1))
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3) ),
c_0_115,
[final] ).
cnf(c_0_162,plain,
( lhs_atom6(X1)
| related(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
c_0_116,
[final] ).
cnf(c_0_163,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
c_0_117,
[final] ).
cnf(c_0_164,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1) ),
c_0_118,
[final] ).
cnf(c_0_165,plain,
( lhs_atom15(X1,X3,X2)
| ~ relation_of2(X1,X2,X3) ),
c_0_119,
[final] ).
cnf(c_0_166,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| lhs_atom8(X1,X3,X2) ),
c_0_120,
[final] ).
cnf(c_0_167,plain,
( relation_of2(X1,X2,X3)
| lhs_atom8(X1,X3,X2) ),
c_0_121,
[final] ).
cnf(c_0_168,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| lhs_atom6(X1) ),
c_0_122,
[final] ).
cnf(c_0_169,plain,
( lhs_atom22(X2,X3)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
c_0_123,
[final] ).
cnf(c_0_170,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2) ),
c_0_124,
[final] ).
cnf(c_0_171,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(esk1_2(X1,X2),X2) ),
c_0_125,
[final] ).
cnf(c_0_172,plain,
( lhs_atom4(X1)
| is_antisymmetric_in(X1,X2)
| in(esk2_2(X1,X2),X2) ),
c_0_126,
[final] ).
cnf(c_0_173,plain,
( relation(X1)
| lhs_atom2(X1,X2,X3) ),
c_0_127,
[final] ).
cnf(c_0_174,plain,
( lhs_atom6(X1)
| antisymmetric_relstr(X1)
| ~ is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)) ),
c_0_128,
[final] ).
cnf(c_0_175,plain,
( lhs_atom6(X1)
| is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ antisymmetric_relstr(X1) ),
c_0_129,
[final] ).
cnf(c_0_176,plain,
( lhs_atom21(X2,X1)
| ~ subset(X1,X2) ),
c_0_130,
[final] ).
cnf(c_0_177,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_131,
[final] ).
cnf(c_0_178,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom19(X2,X1) ),
c_0_132,
[final] ).
cnf(c_0_179,plain,
( lhs_atom14(X1)
| element(esk3_1(X1),powerset(X1)) ),
c_0_133,
[final] ).
cnf(c_0_180,plain,
( subset(X1,X2)
| lhs_atom20(X2,X1) ),
c_0_134,
[final] ).
cnf(c_0_181,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_135,
[final] ).
cnf(c_0_182,plain,
( empty(X1)
| empty(X2)
| lhs_atom13(X1,X2) ),
c_0_136,
[final] ).
cnf(c_0_183,plain,
( lhs_atom14(X1)
| ~ empty(esk3_1(X1)) ),
c_0_137,
[final] ).
cnf(c_0_184,plain,
lhs_atom12(X1,X2),
c_0_138,
[final] ).
cnf(c_0_185,plain,
lhs_atom5(X1,X2),
c_0_139,
[final] ).
cnf(c_0_186,plain,
lhs_atom3(X1,X2),
c_0_140,
[final] ).
cnf(c_0_187,plain,
( one_sorted_str(X1)
| lhs_atom6(X1) ),
c_0_141,
[final] ).
cnf(c_0_188,plain,
( X1 = empty_set
| lhs_atom23(X1) ),
c_0_142,
[final] ).
cnf(c_0_189,plain,
lhs_atom16(X1),
c_0_143,
[final] ).
cnf(c_0_190,plain,
lhs_atom11(X1),
c_0_144,
[final] ).
cnf(c_0_191,plain,
lhs_atom9(X1),
c_0_145,
[final] ).
cnf(c_0_192,plain,
lhs_atom10,
c_0_146,
[final] ).
cnf(c_0_193,plain,
lhs_atom7,
c_0_147,
[final] ).
cnf(c_0_194,plain,
lhs_atom7,
c_0_148,
[final] ).
cnf(c_0_195,plain,
lhs_atom7,
c_0_149,
[final] ).
cnf(c_0_196,plain,
lhs_atom7,
c_0_150,
[final] ).
cnf(c_0_197,plain,
lhs_atom7,
c_0_151,
[final] ).
cnf(c_0_198,plain,
lhs_atom7,
c_0_152,
[final] ).
cnf(c_0_199,plain,
lhs_atom7,
c_0_153,
[final] ).
cnf(c_0_200,plain,
lhs_atom7,
c_0_154,
[final] ).
cnf(c_0_201,plain,
lhs_atom7,
c_0_155,
[final] ).
cnf(c_0_202,plain,
lhs_atom7,
c_0_156,
[final] ).
% End CNF derivation
cnf(c_0_157_0,axiom,
( in(ordered_pair(X3,X1),cartesian_product2(X4,X2))
| ~ in(X1,X2)
| ~ in(X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom18]) ).
cnf(c_0_158_0,axiom,
( ~ in(ordered_pair(X4,X3),cartesian_product2(X2,X1))
| in(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom17]) ).
cnf(c_0_159_0,axiom,
( ~ in(ordered_pair(X4,X3),cartesian_product2(X2,X1))
| in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom17]) ).
cnf(c_0_160_0,axiom,
( ~ relation(X1)
| X2 = X3
| ~ in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X2,X3),X1)
| ~ in(X3,X4)
| ~ in(X2,X4)
| ~ is_antisymmetric_in(X1,X4) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom4]) ).
cnf(c_0_161_0,axiom,
( ~ rel_str(X1)
| in(ordered_pair(X2,X3),the_InternalRel(X1))
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom6]) ).
cnf(c_0_162_0,axiom,
( ~ rel_str(X1)
| related(X1,X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom6]) ).
cnf(c_0_163_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(sk1_esk1_2(X1,X2),sk1_esk2_2(X1,X2)),X1) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom4]) ).
cnf(c_0_164_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk1_2(X1,X2)),X1) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom4]) ).
cnf(c_0_165_0,axiom,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom15]) ).
cnf(c_0_166_0,axiom,
( ~ relation_of2_as_subset(X1,X2,X3)
| element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom8]) ).
cnf(c_0_167_0,axiom,
( ~ relation_of2_as_subset(X1,X2,X3)
| relation_of2(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom8]) ).
cnf(c_0_168_0,axiom,
( ~ rel_str(X1)
| relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom6]) ).
cnf(c_0_169_0,axiom,
( element(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom22]) ).
cnf(c_0_170_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| sk1_esk2_2(X1,X2) != sk1_esk1_2(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom4]) ).
cnf(c_0_171_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(sk1_esk1_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom4]) ).
cnf(c_0_172_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(sk1_esk2_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom4]) ).
cnf(c_0_173_0,axiom,
( ~ element(X1,powerset(cartesian_product2(X3,X2)))
| relation(X1) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom2]) ).
cnf(c_0_174_0,axiom,
( ~ rel_str(X1)
| antisymmetric_relstr(X1)
| ~ is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom6]) ).
cnf(c_0_175_0,axiom,
( ~ rel_str(X1)
| is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ antisymmetric_relstr(X1) ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom6]) ).
cnf(c_0_176_0,axiom,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom21]) ).
cnf(c_0_177_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom1]) ).
cnf(c_0_178_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom19]) ).
cnf(c_0_179_0,axiom,
( empty(X1)
| element(sk1_esk3_1(X1),powerset(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom14]) ).
cnf(c_0_180_0,axiom,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom20]) ).
cnf(c_0_181_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom1]) ).
cnf(c_0_182_0,axiom,
( ~ empty(cartesian_product2(X2,X1))
| empty(X1)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom13]) ).
cnf(c_0_183_0,axiom,
( empty(X1)
| ~ empty(sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom14]) ).
cnf(c_0_187_0,axiom,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom6]) ).
cnf(c_0_188_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom23]) ).
cnf(c_0_184_0,axiom,
~ empty(unordered_pair(X2,X1)),
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom12]) ).
cnf(c_0_185_0,axiom,
ordered_pair(X2,X1) = unordered_pair(unordered_pair(X2,X1),singleton(X2)),
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom5]) ).
cnf(c_0_186_0,axiom,
unordered_pair(X2,X1) = unordered_pair(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom3]) ).
cnf(c_0_189_0,axiom,
subset(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom16]) ).
cnf(c_0_190_0,axiom,
~ empty(singleton(X1)),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom11]) ).
cnf(c_0_191_0,axiom,
~ empty(powerset(X1)),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom9]) ).
cnf(c_0_192_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom10]) ).
cnf(c_0_193_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom7]) ).
cnf(c_0_194_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom7]) ).
cnf(c_0_195_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom7]) ).
cnf(c_0_196_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom7]) ).
cnf(c_0_197_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom7]) ).
cnf(c_0_198_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom7]) ).
cnf(c_0_199_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom7]) ).
cnf(c_0_200_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom7]) ).
cnf(c_0_201_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom7]) ).
cnf(c_0_202_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom7]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2] :
? [X3] : relation_of2(X3,X1,X2),
file('<stdin>',existence_m1_relset_1) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
? [X3] : relation_of2_as_subset(X3,X1,X2),
file('<stdin>',existence_m2_relset_1) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_4_005,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_5_006,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_7_008,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_8_009,axiom,
? [X1] : rel_str(X1),
file('<stdin>',existence_l1_orders_2) ).
fof(c_0_9_010,axiom,
? [X1] : one_sorted_str(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_10_011,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
? [X3] : relation_of2(X3,X1,X2),
c_0_0 ).
fof(c_0_12_013,axiom,
! [X1,X2] :
? [X3] : relation_of2_as_subset(X3,X1,X2),
c_0_1 ).
fof(c_0_13_014,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
c_0_2 ).
fof(c_0_14_015,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_3 ).
fof(c_0_15_016,axiom,
! [X1] :
? [X2] :
( element(X2,powerset(X1))
& empty(X2) ),
c_0_4 ).
fof(c_0_16_017,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_5 ).
fof(c_0_17_018,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_6 ).
fof(c_0_18_019,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_19_020,axiom,
? [X1] : rel_str(X1),
c_0_8 ).
fof(c_0_20_021,axiom,
? [X1] : one_sorted_str(X1),
c_0_9 ).
fof(c_0_21_022,axiom,
? [X1] : empty(X1),
c_0_10 ).
fof(c_0_22_023,plain,
! [X4,X5] : relation_of2(esk6_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_23_024,plain,
! [X4,X5] : relation_of2_as_subset(esk4_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_24_025,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_13])])])]) ).
fof(c_0_25_026,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_26_027,plain,
! [X3] :
( element(esk2_1(X3),powerset(X3))
& empty(esk2_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
fof(c_0_27_028,plain,
! [X3] : element(esk5_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).
fof(c_0_28_029,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_17])])])]) ).
fof(c_0_29_030,plain,
~ empty(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_30_031,plain,
rel_str(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
fof(c_0_31_032,plain,
one_sorted_str(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
fof(c_0_32_033,plain,
empty(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).
cnf(c_0_33_034,plain,
relation_of2(esk6_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34_035,plain,
relation_of2_as_subset(esk4_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35_036,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36_037,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37_038,plain,
element(esk2_1(X1),powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38_039,plain,
element(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39_040,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40_041,plain,
empty(esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41_042,plain,
~ empty(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42_043,plain,
rel_str(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43_044,plain,
one_sorted_str(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44_045,plain,
empty(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45_046,plain,
relation_of2(esk6_2(X1,X2),X1,X2),
c_0_33,
[final] ).
cnf(c_0_46_047,plain,
relation_of2_as_subset(esk4_2(X1,X2),X1,X2),
c_0_34,
[final] ).
cnf(c_0_47_048,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
c_0_35,
[final] ).
cnf(c_0_48_049,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_36,
[final] ).
cnf(c_0_49_050,plain,
element(esk2_1(X1),powerset(X1)),
c_0_37,
[final] ).
cnf(c_0_50_051,plain,
element(esk5_1(X1),X1),
c_0_38,
[final] ).
cnf(c_0_51_052,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_39,
[final] ).
cnf(c_0_52_053,plain,
empty(esk2_1(X1)),
c_0_40,
[final] ).
cnf(c_0_53_054,plain,
~ empty(esk1_0),
c_0_41,
[final] ).
cnf(c_0_54_055,plain,
rel_str(esk8_0),
c_0_42,
[final] ).
cnf(c_0_55_056,plain,
one_sorted_str(esk7_0),
c_0_43,
[final] ).
cnf(c_0_56_057,plain,
empty(esk3_0),
c_0_44,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_47_0,axiom,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_1,axiom,
( ~ element(X2,powerset(X1))
| ~ empty(X1)
| ~ in(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( ~ in(X3,X2)
| ~ element(X2,powerset(X1))
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_51_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_53_0,axiom,
~ empty(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_45_0,axiom,
relation_of2(sk2_esk6_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
relation_of2_as_subset(sk2_esk4_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_49_0,axiom,
element(sk2_esk2_1(X1),powerset(X1)),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_0,axiom,
element(sk2_esk5_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_52_0,axiom,
empty(sk2_esk2_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_54_0,axiom,
rel_str(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
one_sorted_str(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
empty(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_058,conjecture,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
file('<stdin>',t25_orders_2) ).
fof(c_0_1_059,negated_conjecture,
~ ! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X2) )
=> X2 = X3 ) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_060,negated_conjecture,
( antisymmetric_relstr(esk1_0)
& rel_str(esk1_0)
& element(esk2_0,the_carrier(esk1_0))
& element(esk3_0,the_carrier(esk1_0))
& related(esk1_0,esk2_0,esk3_0)
& related(esk1_0,esk3_0,esk2_0)
& esk2_0 != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_061,negated_conjecture,
related(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_062,negated_conjecture,
related(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_063,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_064,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_065,negated_conjecture,
antisymmetric_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_066,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_067,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_068,negated_conjecture,
related(esk1_0,esk2_0,esk3_0),
c_0_3,
[final] ).
cnf(c_0_11_069,negated_conjecture,
related(esk1_0,esk3_0,esk2_0),
c_0_4,
[final] ).
cnf(c_0_12_070,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
c_0_5,
[final] ).
cnf(c_0_13_071,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
c_0_6,
[final] ).
cnf(c_0_14_072,negated_conjecture,
antisymmetric_relstr(esk1_0),
c_0_7,
[final] ).
cnf(c_0_15_073,negated_conjecture,
rel_str(esk1_0),
c_0_8,
[final] ).
cnf(c_0_16_074,negated_conjecture,
esk2_0 != esk3_0,
c_0_9,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_59,plain,
( ~ is_antisymmetric_in(X0,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0)
| X2 = X3
| ~ relation(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_160_0) ).
cnf(c_271130,plain,
( ~ is_antisymmetric_in(X0,X1)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0)
| X2 = X3
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_271158,plain,
( ~ in(ordered_pair(sk3_esk2_0,sk3_esk3_0),X0)
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),X0)
| ~ in(sk3_esk2_0,X1)
| ~ in(sk3_esk3_0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0)
| sk3_esk2_0 = sk3_esk3_0 ),
inference(instantiation,[status(thm)],[c_271130]) ).
cnf(c_271299,plain,
( ~ in(ordered_pair(sk3_esk2_0,sk3_esk3_0),the_InternalRel(X0))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(X0))
| ~ in(sk3_esk2_0,X1)
| ~ in(sk3_esk3_0,X1)
| ~ is_antisymmetric_in(the_InternalRel(X0),X1)
| ~ relation(the_InternalRel(X0))
| sk3_esk2_0 = sk3_esk3_0 ),
inference(instantiation,[status(thm)],[c_271158]) ).
cnf(c_296504,plain,
( ~ in(ordered_pair(sk3_esk2_0,sk3_esk3_0),the_InternalRel(X0))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(X0))
| ~ in(sk3_esk2_0,the_carrier(sk3_esk1_0))
| ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ is_antisymmetric_in(the_InternalRel(X0),the_carrier(sk3_esk1_0))
| ~ relation(the_InternalRel(X0))
| sk3_esk2_0 = sk3_esk3_0 ),
inference(instantiation,[status(thm)],[c_271299]) ).
cnf(c_296505,plain,
( ~ in(ordered_pair(sk3_esk2_0,sk3_esk3_0),the_InternalRel(sk3_esk1_0))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0))
| ~ in(sk3_esk2_0,the_carrier(sk3_esk1_0))
| ~ in(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ is_antisymmetric_in(the_InternalRel(sk3_esk1_0),the_carrier(sk3_esk1_0))
| ~ relation(the_InternalRel(sk3_esk1_0))
| sk3_esk2_0 = sk3_esk3_0 ),
inference(instantiation,[status(thm)],[c_296504]) ).
cnf(c_0,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_47_0) ).
cnf(c_157,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_13590,plain,
( ~ empty(X0)
| ~ element(the_InternalRel(sk3_esk1_0),powerset(X0))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_157]) ).
cnf(c_30148,plain,
( ~ empty(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| ~ element(the_InternalRel(sk3_esk1_0),powerset(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_13590]) ).
cnf(c_61,plain,
( in(X0,X1)
| ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_158_0) ).
cnf(c_218,plain,
( in(X0,X1)
| ~ in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_30018,plain,
( ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| in(sk3_esk3_0,the_carrier(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_60,plain,
( in(X0,X1)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_159_0) ).
cnf(c_217,plain,
( in(X0,X1)
| ~ in(ordered_pair(X2,X0),cartesian_product2(X3,X1)) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_30017,plain,
( ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| in(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_217]) ).
cnf(c_41,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_178_0) ).
cnf(c_198,plain,
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(copy,[status(esa)],[c_41]) ).
cnf(c_13494,plain,
( empty(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| ~ element(ordered_pair(sk3_esk3_0,sk3_esk2_0),cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| in(ordered_pair(sk3_esk3_0,sk3_esk2_0),cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_50,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_169_0) ).
cnf(c_207,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
inference(copy,[status(esa)],[c_50]) ).
cnf(c_13103,plain,
( element(ordered_pair(sk3_esk3_0,sk3_esk2_0),X0)
| ~ element(the_InternalRel(sk3_esk1_0),powerset(X0))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_13245,plain,
( element(ordered_pair(sk3_esk3_0,sk3_esk2_0),cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)))
| ~ element(the_InternalRel(sk3_esk1_0),powerset(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))))
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_13103]) ).
cnf(c_46,plain,
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_173_0) ).
cnf(c_203,plain,
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_13204,plain,
( ~ element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0))))
| relation(the_InternalRel(X0)) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_13205,plain,
( ~ element(the_InternalRel(sk3_esk1_0),powerset(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))))
| relation(the_InternalRel(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_13204]) ).
cnf(c_58,plain,
( ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_161_0) ).
cnf(c_215,plain,
( ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ rel_str(X0) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_12970,plain,
( ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| in(ordered_pair(X0,sk3_esk3_0),the_InternalRel(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ related(sk3_esk1_0,X0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_13033,plain,
( ~ element(sk3_esk2_0,the_carrier(sk3_esk1_0))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(ordered_pair(sk3_esk2_0,sk3_esk3_0),the_InternalRel(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ related(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0) ),
inference(instantiation,[status(thm)],[c_12970]) ).
cnf(c_12968,plain,
( ~ element(sk3_esk2_0,the_carrier(sk3_esk1_0))
| ~ element(X0,the_carrier(sk3_esk1_0))
| in(ordered_pair(X0,sk3_esk2_0),the_InternalRel(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ related(sk3_esk1_0,X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_13031,plain,
( ~ element(sk3_esk2_0,the_carrier(sk3_esk1_0))
| ~ element(sk3_esk3_0,the_carrier(sk3_esk1_0))
| in(ordered_pair(sk3_esk3_0,sk3_esk2_0),the_InternalRel(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0)
| ~ related(sk3_esk1_0,sk3_esk3_0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_12968]) ).
cnf(c_53,plain,
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_166_0) ).
cnf(c_210,plain,
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(copy,[status(esa)],[c_53]) ).
cnf(c_12956,plain,
( element(the_InternalRel(X0),powerset(cartesian_product2(the_carrier(X0),the_carrier(X0))))
| ~ relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_12957,plain,
( element(the_InternalRel(sk3_esk1_0),powerset(cartesian_product2(the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))))
| ~ relation_of2_as_subset(the_InternalRel(sk3_esk1_0),the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_12956]) ).
cnf(c_44,plain,
( ~ antisymmetric_relstr(X0)
| is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_175_0) ).
cnf(c_86,plain,
( ~ rel_str(sk3_esk1_0)
| is_antisymmetric_in(the_InternalRel(sk3_esk1_0),the_carrier(sk3_esk1_0))
| ~ antisymmetric_relstr(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_44]) ).
cnf(c_51,plain,
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_168_0) ).
cnf(c_80,plain,
( relation_of2_as_subset(the_InternalRel(sk3_esk1_0),the_carrier(sk3_esk1_0),the_carrier(sk3_esk1_0))
| ~ rel_str(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_63,negated_conjecture,
sk3_esk2_0 != sk3_esk3_0,
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_16) ).
cnf(c_64,negated_conjecture,
related(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_10) ).
cnf(c_65,negated_conjecture,
related(sk3_esk1_0,sk3_esk3_0,sk3_esk2_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_11) ).
cnf(c_66,negated_conjecture,
element(sk3_esk2_0,the_carrier(sk3_esk1_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_12) ).
cnf(c_67,negated_conjecture,
element(sk3_esk3_0,the_carrier(sk3_esk1_0)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_13) ).
cnf(c_68,negated_conjecture,
antisymmetric_relstr(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_14) ).
cnf(c_69,negated_conjecture,
rel_str(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p',c_0_15) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_296505,c_30148,c_30018,c_30017,c_13494,c_13245,c_13205,c_13033,c_13031,c_12957,c_86,c_80,c_63,c_64,c_65,c_66,c_67,c_68,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n004.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 : Mon Jun 20 03:23:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.13/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.41 % FOF problem with conjecture
% 0.13/0.41 % 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/sandbox2/tmp/iprover_proof_70b864.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_4da83c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_1948e1 | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.55 % --bmc1_dump_file -
% 0.21/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.55 % --bmc1_ucm_extend_mode 1
% 0.21/0.55 % --bmc1_ucm_init_mode 2
% 0.21/0.55 % --bmc1_ucm_cone_mode none
% 0.21/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.55 % --bmc1_ucm_relax_model 4
% 0.21/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.55 % --bmc1_ucm_layered_model none
% 0.21/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.55
% 0.21/0.55 % ------ AIG Options
% 0.21/0.55
% 0.21/0.55 % --aig_mode false
% 0.21/0.55
% 0.21/0.55 % ------ Instantiation Options
% 0.21/0.55
% 0.21/0.55 % --instantiation_flag true
% 0.21/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.55 % --inst_solver_per_active 750
% 0.21/0.55 % --inst_solver_calls_frac 0.5
% 0.21/0.55 % --inst_passive_queue_type priority_queues
% 0.21/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.55 % --inst_passive_queues_freq [25;2]
% 0.21/0.55 % --inst_dismatching true
% 0.21/0.55 % --inst_eager_unprocessed_to_passive true
% 0.21/0.55 % --inst_prop_sim_given true
% 0.21/0.55 % --inst_prop_sim_new false
% 0.21/0.55 % --inst_orphan_elimination true
% 0.21/0.55 % --inst_learning_loop_flag true
% 0.21/0.55 % --inst_learning_start 3000
% 0.21/0.55 % --inst_learning_factor 2
% 0.21/0.55 % --inst_start_prop_sim_after_learn 3
% 0.21/0.55 % --inst_sel_renew solver
% 0.21/0.55 % --inst_lit_activity_flag true
% 0.21/0.55 % --inst_out_proof true
% 0.21/0.55
% 0.21/0.55 % ------ Resolution Options
% 0.21/0.55
% 0.21/0.55 % --resolution_flag true
% 0.21/0.55 % --res_lit_sel kbo_max
% 0.21/0.55 % --res_to_prop_solver none
% 0.21/0.55 % --res_prop_simpl_new false
% 0.21/0.55 % --res_prop_simpl_given false
% 0.21/0.55 % --res_passive_queue_type priority_queues
% 0.21/0.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.55 % --res_passive_queues_freq [15;5]
% 0.21/0.55 % --res_forward_subs full
% 0.21/0.55 % --res_backward_subs full
% 0.21/0.55 % --res_forward_subs_resolution true
% 0.21/0.55 % --res_backward_subs_resolution true
% 0.21/0.55 % --res_orphan_elimination false
% 0.21/0.55 % --res_time_limit 1000.
% 0.21/0.55 % --res_out_proof true
% 0.21/0.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_70b864.s
% 0.21/0.55 % --modulo true
% 0.21/0.55
% 0.21/0.55 % ------ Combination Options
% 0.21/0.55
% 0.21/0.55 % --comb_res_mult 1000
% 0.21/0.55 % --comb_inst_mult 300
% 0.21/0.55 % ------
% 0.21/0.55
% 0.21/0.55 % ------ Parsing...% successful
% 0.21/0.55
% 0.21/0.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.55
% 0.21/0.55 % ------ Proving...
% 0.21/0.55 % ------ Problem Properties
% 0.21/0.55
% 0.21/0.55 %
% 0.21/0.55 % EPR false
% 0.21/0.55 % Horn false
% 0.21/0.55 % Has equality true
% 0.21/0.55
% 0.21/0.55 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.55
% 0.21/0.55
% 0.21/0.55 Compiling...
% 0.21/0.55 Loading plugin: done.
% 0.21/0.55 % % ------ Current options:
% 0.21/0.55
% 0.21/0.55 % ------ Input Options
% 0.21/0.55
% 0.21/0.55 % --out_options all
% 0.21/0.55 % --tptp_safe_out true
% 0.21/0.55 % --problem_path ""
% 0.21/0.55 % --include_path ""
% 0.21/0.55 % --clausifier .//eprover
% 0.21/0.55 % --clausifier_options --tstp-format
% 0.21/0.55 % --stdin false
% 0.21/0.55 % --dbg_backtrace false
% 0.21/0.55 % --dbg_dump_prop_clauses false
% 0.21/0.55 % --dbg_dump_prop_clauses_file -
% 0.21/0.55 % --dbg_out_stat false
% 0.21/0.55
% 0.21/0.55 % ------ General Options
% 0.21/0.55
% 0.21/0.55 % --fof false
% 0.21/0.55 % --time_out_real 150.
% 0.21/0.55 % --time_out_prep_mult 0.2
% 0.21/0.55 % --time_out_virtual -1.
% 0.21/0.55 % --schedule none
% 0.21/0.55 % --ground_splitting input
% 0.21/0.55 % --splitting_nvd 16
% 0.21/0.55 % --non_eq_to_eq false
% 0.21/0.55 % --prep_gs_sim true
% 0.21/0.55 % --prep_unflatten false
% 0.21/0.55 % --prep_res_sim true
% 0.21/0.55 % --prep_upred true
% 0.21/0.55 % --res_sim_input true
% 0.21/0.55 % --clause_weak_htbl true
% 0.21/0.55 % --gc_record_bc_elim false
% 0.21/0.55 % --symbol_type_check false
% 0.21/0.55 % --clausify_out false
% 0.21/0.55 % --large_theory_mode false
% 0.21/0.55 % --prep_sem_filter none
% 0.21/0.55 % --prep_sem_filter_out false
% 0.21/0.55 % --preprocessed_out false
% 0.21/0.55 % --sub_typing false
% 0.21/0.55 % --brand_transform false
% 0.21/0.55 % --pure_diseq_elim true
% 0.21/0.55 % --min_unsat_core false
% 0.21/0.55 % --pred_elim true
% 0.21/0.55 % --add_important_lit false
% 0.21/0.55 % --soft_assumptions false
% 0.21/0.55 % --reset_solvers false
% 0.21/0.55 % --bc_imp_inh []
% 0.21/0.55 % --conj_cone_tolerance 1.5
% 0.21/0.55 % --prolific_symb_bound 500
% 0.21/0.55 % --lt_threshold 2000
% 0.21/0.55
% 0.21/0.55 % ------ SAT Options
% 0.21/0.55
% 0.21/0.55 % --sat_mode false
% 0.21/0.55 % --sat_fm_restart_options ""
% 0.21/0.55 % --sat_gr_def false
% 0.21/0.55 % --sat_epr_types true
% 0.21/0.55 % --sat_non_cyclic_types false
% 0.21/0.55 % --sat_finite_models false
% 0.21/0.55 % --sat_fm_lemmas false
% 0.21/0.55 % --sat_fm_prep false
% 0.21/0.55 % --sat_fm_uc_incr true
% 0.21/0.55 % --sat_out_model small
% 0.21/0.55 % --sat_out_clauses false
% 0.21/0.55
% 0.21/0.55 % ------ QBF Options
% 0.21/0.55
% 0.21/0.55 % --qbf_mode false
% 0.21/0.55 % --qbf_elim_univ true
% 0.21/0.55 % --qbf_sk_in true
% 0.21/0.55 % --qbf_pred_elim true
% 0.21/0.55 % --qbf_split 32
% 0.21/0.55
% 0.21/0.55 % ------ BMC1 Options
% 0.21/0.55
% 0.21/0.55 % --bmc1_incremental false
% 0.21/0.55 % --bmc1_axioms reachable_all
% 0.21/0.55 % --bmc1_min_bound 0
% 0.21/0.55 % --bmc1_max_bound -1
% 0.21/0.55 % --bmc1_max_bound_default -1
% 0.21/0.55 % --bmc1_symbol_reachability true
% 0.21/0.55 % --bmc1_property_lemmas false
% 0.21/0.55 % --bmc1_k_induction false
% 0.21/0.55 % --bmc1_non_equiv_states false
% 0.21/0.55 % --bmc1_deadlock false
% 0.21/0.55 % --bmc1_ucm false
% 0.21/0.55 % --bmc1_add_unsat_core none
% 0.21/0.55 % --bmc1_unsat_core_children false
% 0.21/0.55 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.55 % --bmc1_out_stat full
% 0.21/0.55 % --bmc1_ground_init false
% 0.21/0.55 % --bmc1_pre_inst_next_state false
% 0.21/0.55 % --bmc1_pre_inst_state false
% 0.21/0.55 % --bmc1_pre_inst_reach_state false
% 0.21/0.55 % --bmc1_out_unsat_core false
% 0.21/0.55 % --bmc1_aig_witness_out false
% 0.21/0.55 % --bmc1_verbose false
% 0.21/0.55 % --bmc1_dump_clauses_tptp false
% 0.21/0.55 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.55 % --bmc1_dump_file -
% 0.21/0.55 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.55 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.55 % --bmc1_ucm_extend_mode 1
% 0.21/0.55 % --bmc1_ucm_init_mode 2
% 0.21/0.55 % --bmc1_ucm_cone_mode none
% 0.21/0.55 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.55 % --bmc1_ucm_relax_model 4
% 0.21/0.55 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.55 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.55 % --bmc1_ucm_layered_model none
% 0.21/0.55 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.55
% 0.21/0.55 % ------ AIG Options
% 0.21/0.55
% 0.21/0.55 % --aig_mode false
% 0.21/0.55
% 0.21/0.55 % ------ Instantiation Options
% 0.21/0.55
% 0.21/0.55 % --instantiation_flag true
% 0.21/0.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.55 % --inst_solver_per_active 750
% 0.21/0.55 % --inst_solver_calls_frac 0.5
% 0.21/0.55 % --inst_passive_queue_type priority_queues
% 0.21/0.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.55 % --inst_passive_queues_freq [25;2]
% 0.21/0.55 % --inst_dismatching true
% 0.21/0.55 % --inst_eager_unprocessed_to_passive true
% 35.85/36.11 % --inst_prop_sim_given true
% 35.85/36.11 % --inst_prop_sim_new false
% 35.85/36.11 % --inst_orphan_elimination true
% 35.85/36.11 % --inst_learning_loop_flag true
% 35.85/36.11 % --inst_learning_start 3000
% 35.85/36.11 % --inst_learning_factor 2
% 35.85/36.11 % --inst_start_prop_sim_after_learn 3
% 35.85/36.11 % --inst_sel_renew solver
% 35.85/36.11 % --inst_lit_activity_flag true
% 35.85/36.11 % --inst_out_proof true
% 35.85/36.11
% 35.85/36.11 % ------ Resolution Options
% 35.85/36.11
% 35.85/36.11 % --resolution_flag true
% 35.85/36.11 % --res_lit_sel kbo_max
% 35.85/36.11 % --res_to_prop_solver none
% 35.85/36.11 % --res_prop_simpl_new false
% 35.85/36.11 % --res_prop_simpl_given false
% 35.85/36.11 % --res_passive_queue_type priority_queues
% 35.85/36.11 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 35.85/36.11 % --res_passive_queues_freq [15;5]
% 35.85/36.11 % --res_forward_subs full
% 35.85/36.11 % --res_backward_subs full
% 35.85/36.11 % --res_forward_subs_resolution true
% 35.85/36.11 % --res_backward_subs_resolution true
% 35.85/36.11 % --res_orphan_elimination false
% 35.85/36.11 % --res_time_limit 1000.
% 35.85/36.11 % --res_out_proof true
% 35.85/36.11 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_70b864.s
% 35.85/36.11 % --modulo true
% 35.85/36.11
% 35.85/36.11 % ------ Combination Options
% 35.85/36.11
% 35.85/36.11 % --comb_res_mult 1000
% 35.85/36.11 % --comb_inst_mult 300
% 35.85/36.11 % ------
% 35.85/36.11
% 35.85/36.11
% 35.85/36.11
% 35.85/36.11 % ------ Proving...
% 35.85/36.11 %
% 35.85/36.11
% 35.85/36.11
% 35.85/36.11 % ------ Statistics
% 35.85/36.11
% 35.85/36.11 % ------ General
% 35.85/36.11
% 35.85/36.11 % num_of_input_clauses: 70
% 35.85/36.11 % num_of_input_neg_conjectures: 7
% 35.85/36.11 % num_of_splits: 0
% 35.85/36.11 % num_of_split_atoms: 0
% 35.85/36.11 % num_of_sem_filtered_clauses: 0
% 35.85/36.11 % num_of_subtypes: 0
% 35.85/36.11 % monotx_restored_types: 0
% 35.85/36.11 % sat_num_of_epr_types: 0
% 35.85/36.11 % sat_num_of_non_cyclic_types: 0
% 35.85/36.11 % sat_guarded_non_collapsed_types: 0
% 35.85/36.11 % is_epr: 0
% 35.85/36.11 % is_horn: 0
% 35.85/36.11 % has_eq: 1
% 35.85/36.11 % num_pure_diseq_elim: 0
% 35.85/36.11 % simp_replaced_by: 0
% 35.85/36.11 % res_preprocessed: 14
% 35.85/36.11 % prep_upred: 0
% 35.85/36.11 % prep_unflattend: 0
% 35.85/36.11 % pred_elim_cands: 0
% 35.85/36.11 % pred_elim: 0
% 35.85/36.11 % pred_elim_cl: 0
% 35.85/36.11 % pred_elim_cycles: 0
% 35.85/36.11 % forced_gc_time: 0
% 35.85/36.11 % gc_basic_clause_elim: 0
% 35.85/36.11 % parsing_time: 0.002
% 35.85/36.11 % sem_filter_time: 0.
% 35.85/36.11 % pred_elim_time: 0.
% 35.85/36.11 % out_proof_time: 0.009
% 35.85/36.11 % monotx_time: 0.
% 35.85/36.11 % subtype_inf_time: 0.
% 35.85/36.11 % unif_index_cands_time: 1.456
% 35.85/36.11 % unif_index_add_time: 0.096
% 35.85/36.11 % total_time: 35.691
% 35.85/36.11 % num_of_symbols: 59
% 35.85/36.11 % num_of_terms: 123101
% 35.95/36.11
% 35.95/36.11 % ------ Propositional Solver
% 35.95/36.11
% 35.95/36.11 % prop_solver_calls: 29
% 35.95/36.11 % prop_fast_solver_calls: 21
% 35.95/36.11 % prop_num_of_clauses: 53911
% 35.95/36.11 % prop_preprocess_simplified: 49963
% 35.95/36.11 % prop_fo_subsumed: 0
% 35.95/36.11 % prop_solver_time: 0.029
% 35.95/36.11 % prop_fast_solver_time: 0.
% 35.95/36.11 % prop_unsat_core_time: 0.007
% 35.95/36.11
% 35.95/36.11 % ------ QBF
% 35.95/36.11
% 35.95/36.11 % qbf_q_res: 0
% 35.95/36.11 % qbf_num_tautologies: 0
% 35.95/36.11 % qbf_prep_cycles: 0
% 35.95/36.11
% 35.95/36.11 % ------ BMC1
% 35.95/36.11
% 35.95/36.11 % bmc1_current_bound: -1
% 35.95/36.11 % bmc1_last_solved_bound: -1
% 35.95/36.11 % bmc1_unsat_core_size: -1
% 35.95/36.11 % bmc1_unsat_core_parents_size: -1
% 35.95/36.11 % bmc1_merge_next_fun: 0
% 35.95/36.11 % bmc1_unsat_core_clauses_time: 0.
% 35.95/36.11
% 35.95/36.11 % ------ Instantiation
% 35.95/36.11
% 35.95/36.11 % inst_num_of_clauses: 1167
% 35.95/36.11 % inst_num_in_passive: 713
% 35.95/36.11 % inst_num_in_active: 430
% 35.95/36.11 % inst_num_in_unprocessed: 22
% 35.95/36.12 % inst_num_of_loops: 526
% 35.95/36.12 % inst_num_of_learning_restarts: 1
% 35.95/36.12 % inst_num_moves_active_passive: 94
% 35.95/36.12 % inst_lit_activity: 501
% 35.95/36.12 % inst_lit_activity_moves: 1
% 35.95/36.12 % inst_num_tautologies: 0
% 35.95/36.12 % inst_num_prop_implied: 0
% 35.95/36.12 % inst_num_existing_simplified: 0
% 35.95/36.12 % inst_num_eq_res_simplified: 0
% 35.95/36.12 % inst_num_child_elim: 0
% 35.95/36.12 % inst_num_of_dismatching_blockings: 49
% 35.95/36.12 % inst_num_of_non_proper_insts: 686
% 35.95/36.12 % inst_num_of_duplicates: 222
% 35.95/36.12 % inst_inst_num_from_inst_to_res: 0
% 35.95/36.12 % inst_dismatching_checking_time: 6.474
% 35.95/36.12
% 35.95/36.12 % ------ Resolution
% 35.95/36.12
% 35.95/36.12 % res_num_of_clauses: 15223
% 35.95/36.12 % res_num_in_passive: 3648
% 35.95/36.12 % res_num_in_active: 11549
% 35.95/36.12 % res_num_of_loops: 12000
% 35.95/36.12 % res_forward_subset_subsumed: 2865
% 35.95/36.12 % res_backward_subset_subsumed: 0
% 35.95/36.12 % res_forward_subsumed: 4
% 35.95/36.12 % res_backward_subsumed: 0
% 35.95/36.12 % res_forward_subsumption_resolution: 1585
% 35.95/36.12 % res_backward_subsumption_resolution: 0
% 35.95/36.12 % res_clause_to_clause_subsumption: 326817
% 35.95/36.12 % res_orphan_elimination: 0
% 35.95/36.12 % res_tautology_del: 1
% 35.95/36.12 % res_num_eq_res_simplified: 0
% 35.95/36.12 % res_num_sel_changes: 0
% 35.95/36.12 % res_moves_from_active_to_pass: 0
% 35.95/36.12
% 35.95/36.12 % Status Unsatisfiable
% 35.95/36.12 % SZS status Theorem
% 35.95/36.12 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------