%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n009.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 10:26:23 EDT 2022
% Result : Theorem 0.72s 0.98s
% Output : CNFRefutation 0.80s
% 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(t30_relat_1,axiom,
! [A,B,C] :
( relation(C)
=> ( in(ordered_pair(A,B),C)
=> ( in(A,relation_field(C))
& in(B,relation_field(C)) ) ) ),
input ).
fof(t30_relat_1_0,plain,
! [A,B,C] :
( ~ relation(C)
| ( in(ordered_pair(A,B),C)
=> ( in(A,relation_field(C))
& in(B,relation_field(C)) ) ) ),
inference(orientation,[status(thm)],[t30_relat_1]) ).
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(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(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_zfmisc_1,axiom,
! [A,B] : ~ empty(ordered_pair(A,B)),
input ).
fof(fc1_zfmisc_1_0,plain,
! [A,B] :
( ~ empty(ordered_pair(A,B))
| $false ),
inference(orientation,[status(thm)],[fc1_zfmisc_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(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_k4_tarski,axiom,
$true,
input ).
fof(dt_k4_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k4_tarski]) ).
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_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_tarski,axiom,
$true,
input ).
fof(dt_k2_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_tarski]) ).
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_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(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_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(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(d12_relat_2,axiom,
! [A] :
( relation(A)
=> ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
input ).
fof(d12_relat_2_0,plain,
! [A] :
( ~ relation(A)
| ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
inference(orientation,[status(thm)],[d12_relat_2]) ).
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(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_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)
<=> 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,
! [B,A] :
( lhs_atom4(B,A)
<=> set_union2(A,B) = set_union2(B,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [A,B] :
( lhs_atom4(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k2_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)
| ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[d12_relat_2_0,def_lhs_atom5]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom5(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_atom5]) ).
fof(def_lhs_atom6,axiom,
! [B,A] :
( lhs_atom6(B,A)
<=> ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
! [A,B] :
( lhs_atom6(B,A)
| $false ),
inference(fold_definition,[status(thm)],[d5_tarski_0,def_lhs_atom6]) ).
fof(to_be_clausified_7,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(def_lhs_atom7,axiom,
( lhs_atom7
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_8,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_relat_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_9,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_tarski_0,def_lhs_atom7]) ).
fof(to_be_clausified_10,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_11,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_relat_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_12,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_tarski_0,def_lhs_atom7]) ).
fof(to_be_clausified_13,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_xboole_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_14,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_relat_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_15,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k4_tarski_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,
( lhs_atom8
<=> empty(empty_set) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [B,A] :
( lhs_atom9(B,A)
<=> ~ empty(ordered_pair(A,B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_18,plain,
! [A,B] :
( lhs_atom9(B,A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_zfmisc_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> empty(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [A,B] :
( lhs_atom10(A)
| ~ empty(set_union2(A,B)) ),
inference(fold_definition,[status(thm)],[fc2_xboole_0_0,def_lhs_atom10]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom10(A)
| ~ empty(set_union2(B,A)) ),
inference(fold_definition,[status(thm)],[fc3_xboole_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> set_union2(A,A) = A ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[idempotence_k2_xboole_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> set_union2(A,empty_set) = A ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom12(A)
| $false ),
inference(fold_definition,[status(thm)],[t1_boole_0,def_lhs_atom12]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom1(B,A)
| element(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom13,axiom,
! [B,A] :
( lhs_atom13(B,A)
<=> ~ element(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom13(B,A)
| empty(B)
| in(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [C] :
( lhs_atom14(C)
<=> ~ relation(C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [A,B,C] :
( lhs_atom14(C)
| ( in(ordered_pair(A,B),C)
=> ( in(A,relation_field(C))
& in(B,relation_field(C)) ) ) ),
inference(fold_definition,[status(thm)],[t30_relat_1_0,def_lhs_atom14]) ).
fof(to_be_clausified_26,plain,
! [A] :
( lhs_atom2(A)
| A = empty_set ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2] :
( lhs_atom5(X2)
| ! [X1] :
( 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_5) ).
fof(c_0_1,axiom,
! [X3,X1,X2] :
( lhs_atom14(X3)
| ( in(ordered_pair(X2,X1),X3)
=> ( in(X2,relation_field(X3))
& in(X1,relation_field(X3)) ) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom10(X2)
| ~ empty(set_union2(X1,X2)) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom10(X2)
| ~ empty(set_union2(X2,X1)) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_4,axiom,
! [X2] :
( lhs_atom5(X2)
| ( antisymmetric(X2)
<=> is_antisymmetric_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom5(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom13(X1,X2)
| empty(X1)
| in(X2,X1) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_8,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom9(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom4(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom3(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom12(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_17,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_18,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_19,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_20,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_21,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_22,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_23,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_24,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_25,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_26,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_27,axiom,
! [X2] :
( lhs_atom5(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_0 ).
fof(c_0_28,axiom,
! [X3,X1,X2] :
( lhs_atom14(X3)
| ( in(ordered_pair(X2,X1),X3)
=> ( in(X2,relation_field(X3))
& in(X1,relation_field(X3)) ) ) ),
c_0_1 ).
fof(c_0_29,plain,
! [X1,X2] :
( lhs_atom10(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_30,plain,
! [X1,X2] :
( lhs_atom10(X2)
| ~ empty(set_union2(X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_31,axiom,
! [X2] :
( lhs_atom5(X2)
| ( antisymmetric(X2)
<=> is_antisymmetric_in(X2,relation_field(X2)) ) ),
c_0_4 ).
fof(c_0_32,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom5(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
c_0_6 ).
fof(c_0_34,axiom,
! [X1,X2] :
( lhs_atom13(X1,X2)
| empty(X1)
| in(X2,X1) ),
c_0_7 ).
fof(c_0_35,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| element(X2,X1) ),
c_0_8 ).
fof(c_0_36,plain,
! [X1,X2] : lhs_atom9(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_37,plain,
! [X1,X2] : lhs_atom6(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_38,plain,
! [X1,X2] : lhs_atom4(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_39,plain,
! [X1,X2] : lhs_atom3(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom2(X2)
| function(X2) ),
c_0_13 ).
fof(c_0_41,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = empty_set ),
c_0_14 ).
fof(c_0_42,plain,
! [X2] : lhs_atom12(X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_43,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_44,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_45,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_46,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_47,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_48,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_49,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_50,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_51,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_52,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_53,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_54,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_atom5(X5) )
& ( in(esk1_2(X5,X9),X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom5(X5) )
& ( in(esk2_2(X5,X9),X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom5(X5) )
& ( in(ordered_pair(esk1_2(X5,X9),esk2_2(X5,X9)),X5)
| is_antisymmetric_in(X5,X9)
| lhs_atom5(X5) )
& ( in(ordered_pair(esk2_2(X5,X9),esk1_2(X5,X9)),X5)
| is_antisymmetric_in(X5,X9)
| lhs_atom5(X5) )
& ( esk1_2(X5,X9) != esk2_2(X5,X9)
| is_antisymmetric_in(X5,X9)
| lhs_atom5(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_27])])])])])]) ).
fof(c_0_55,plain,
! [X4,X5,X6] :
( ( in(X6,relation_field(X4))
| ~ in(ordered_pair(X6,X5),X4)
| lhs_atom14(X4) )
& ( in(X5,relation_field(X4))
| ~ in(ordered_pair(X6,X5),X4)
| lhs_atom14(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
fof(c_0_56,plain,
! [X3,X4] :
( lhs_atom10(X4)
| ~ empty(set_union2(X3,X4)) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_57,plain,
! [X3,X4] :
( lhs_atom10(X4)
| ~ empty(set_union2(X4,X3)) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_58,plain,
! [X3] :
( ( ~ antisymmetric(X3)
| is_antisymmetric_in(X3,relation_field(X3))
| lhs_atom5(X3) )
& ( ~ is_antisymmetric_in(X3,relation_field(X3))
| antisymmetric(X3)
| lhs_atom5(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_59,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ in(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_60,plain,
! [X3] :
( lhs_atom5(X3)
| relation_field(X3) = set_union2(relation_dom(X3),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_61,plain,
! [X3,X4] :
( lhs_atom13(X3,X4)
| empty(X3)
| in(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_62,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| element(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_63,plain,
! [X3,X4] : lhs_atom9(X3,X4),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_64,plain,
! [X3,X4] : lhs_atom6(X3,X4),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_65,plain,
! [X3,X4] : lhs_atom4(X3,X4),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_66,plain,
! [X3,X4] : lhs_atom3(X3,X4),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_67,plain,
! [X3] :
( lhs_atom2(X3)
| function(X3) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_68,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = empty_set ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_69,plain,
! [X3] : lhs_atom12(X3),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_70,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_71,plain,
lhs_atom8,
c_0_44 ).
fof(c_0_72,plain,
lhs_atom7,
c_0_45 ).
fof(c_0_73,plain,
lhs_atom7,
c_0_46 ).
fof(c_0_74,plain,
lhs_atom7,
c_0_47 ).
fof(c_0_75,plain,
lhs_atom7,
c_0_48 ).
fof(c_0_76,plain,
lhs_atom7,
c_0_49 ).
fof(c_0_77,plain,
lhs_atom7,
c_0_50 ).
fof(c_0_78,plain,
lhs_atom7,
c_0_51 ).
fof(c_0_79,plain,
lhs_atom7,
c_0_52 ).
fof(c_0_80,plain,
lhs_atom7,
c_0_53 ).
cnf(c_0_81,plain,
( lhs_atom5(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_54]) ).
cnf(c_0_82,plain,
( lhs_atom5(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_54]) ).
cnf(c_0_83,plain,
( lhs_atom5(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_54]) ).
cnf(c_0_84,plain,
( lhs_atom14(X1)
| in(X2,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85,plain,
( lhs_atom14(X1)
| in(X3,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_86,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| esk1_2(X1,X2) != esk2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_87,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_88,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_89,plain,
( lhs_atom10(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_90,plain,
( lhs_atom10(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_91,plain,
( lhs_atom5(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_92,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_93,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_94,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom13(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_95,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_96,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_97,plain,
lhs_atom9(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_98,plain,
lhs_atom6(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_99,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_100,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_101,plain,
( function(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_102,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_103,plain,
lhs_atom12(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_104,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_105,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_106,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_107,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_108,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_109,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_110,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_111,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_112,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_113,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_114,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_115,plain,
( lhs_atom5(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_81,
[final] ).
cnf(c_0_116,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
c_0_82,
[final] ).
cnf(c_0_117,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1) ),
c_0_83,
[final] ).
cnf(c_0_118,plain,
( lhs_atom14(X1)
| in(X2,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
c_0_84,
[final] ).
cnf(c_0_119,plain,
( lhs_atom14(X1)
| in(X3,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
c_0_85,
[final] ).
cnf(c_0_120,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| esk2_2(X1,X2) != esk1_2(X1,X2) ),
c_0_86,
[final] ).
cnf(c_0_121,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(esk1_2(X1,X2),X2) ),
c_0_87,
[final] ).
cnf(c_0_122,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,X2)
| in(esk2_2(X1,X2),X2) ),
c_0_88,
[final] ).
cnf(c_0_123,plain,
( lhs_atom10(X2)
| ~ empty(set_union2(X1,X2)) ),
c_0_89,
[final] ).
cnf(c_0_124,plain,
( lhs_atom10(X1)
| ~ empty(set_union2(X1,X2)) ),
c_0_90,
[final] ).
cnf(c_0_125,plain,
( lhs_atom5(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
c_0_91,
[final] ).
cnf(c_0_126,plain,
( lhs_atom1(X1,X2)
| ~ in(X1,X2) ),
c_0_92,
[final] ).
cnf(c_0_127,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| lhs_atom5(X1) ),
c_0_93,
[final] ).
cnf(c_0_128,plain,
( in(X1,X2)
| empty(X2)
| lhs_atom13(X2,X1) ),
c_0_94,
[final] ).
cnf(c_0_129,plain,
( lhs_atom5(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
c_0_95,
[final] ).
cnf(c_0_130,plain,
( element(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_96,
[final] ).
cnf(c_0_131,plain,
lhs_atom9(X1,X2),
c_0_97,
[final] ).
cnf(c_0_132,plain,
lhs_atom6(X1,X2),
c_0_98,
[final] ).
cnf(c_0_133,plain,
lhs_atom4(X1,X2),
c_0_99,
[final] ).
cnf(c_0_134,plain,
lhs_atom3(X1,X2),
c_0_100,
[final] ).
cnf(c_0_135,plain,
( function(X1)
| lhs_atom2(X1) ),
c_0_101,
[final] ).
cnf(c_0_136,plain,
( X1 = empty_set
| lhs_atom2(X1) ),
c_0_102,
[final] ).
cnf(c_0_137,plain,
lhs_atom12(X1),
c_0_103,
[final] ).
cnf(c_0_138,plain,
lhs_atom11(X1),
c_0_104,
[final] ).
cnf(c_0_139,plain,
lhs_atom8,
c_0_105,
[final] ).
cnf(c_0_140,plain,
lhs_atom7,
c_0_106,
[final] ).
cnf(c_0_141,plain,
lhs_atom7,
c_0_107,
[final] ).
cnf(c_0_142,plain,
lhs_atom7,
c_0_108,
[final] ).
cnf(c_0_143,plain,
lhs_atom7,
c_0_109,
[final] ).
cnf(c_0_144,plain,
lhs_atom7,
c_0_110,
[final] ).
cnf(c_0_145,plain,
lhs_atom7,
c_0_111,
[final] ).
cnf(c_0_146,plain,
lhs_atom7,
c_0_112,
[final] ).
cnf(c_0_147,plain,
lhs_atom7,
c_0_113,
[final] ).
cnf(c_0_148,plain,
lhs_atom7,
c_0_114,
[final] ).
% End CNF derivation
cnf(c_0_115_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_115,def_lhs_atom5]) ).
cnf(c_0_116_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_116,def_lhs_atom5]) ).
cnf(c_0_117_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_117,def_lhs_atom5]) ).
cnf(c_0_118_0,axiom,
( ~ relation(X1)
| in(X2,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom14]) ).
cnf(c_0_119_0,axiom,
( ~ relation(X1)
| in(X3,relation_field(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom14]) ).
cnf(c_0_120_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_120,def_lhs_atom5]) ).
cnf(c_0_121_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(sk1_esk1_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom5]) ).
cnf(c_0_122_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(sk1_esk2_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom5]) ).
cnf(c_0_123_0,axiom,
( empty(X2)
| ~ empty(set_union2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom10]) ).
cnf(c_0_124_0,axiom,
( empty(X1)
| ~ empty(set_union2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom10]) ).
cnf(c_0_125_0,axiom,
( ~ relation(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom5]) ).
cnf(c_0_126_0,axiom,
( ~ in(X2,X1)
| ~ in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom1]) ).
cnf(c_0_127_0,axiom,
( ~ relation(X1)
| set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1) ),
inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom5]) ).
cnf(c_0_128_0,axiom,
( ~ element(X1,X2)
| in(X1,X2)
| empty(X2) ),
inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom13]) ).
cnf(c_0_129_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom5]) ).
cnf(c_0_130_0,axiom,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom1]) ).
cnf(c_0_135_0,axiom,
( ~ empty(X1)
| function(X1) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom2]) ).
cnf(c_0_136_0,axiom,
( ~ empty(X1)
| X1 = empty_set ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom2]) ).
cnf(c_0_131_0,axiom,
~ empty(ordered_pair(X2,X1)),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom9]) ).
cnf(c_0_132_0,axiom,
ordered_pair(X2,X1) = unordered_pair(unordered_pair(X2,X1),singleton(X2)),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom6]) ).
cnf(c_0_133_0,axiom,
set_union2(X2,X1) = set_union2(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom4]) ).
cnf(c_0_134_0,axiom,
unordered_pair(X2,X1) = unordered_pair(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom3]) ).
cnf(c_0_137_0,axiom,
set_union2(X1,empty_set) = X1,
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom12]) ).
cnf(c_0_138_0,axiom,
set_union2(X1,X1) = X1,
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom11]) ).
cnf(c_0_139_0,axiom,
empty(empty_set),
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom8]) ).
cnf(c_0_140_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom7]) ).
cnf(c_0_141_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom7]) ).
cnf(c_0_142_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom7]) ).
cnf(c_0_143_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom7]) ).
cnf(c_0_144_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom7]) ).
cnf(c_0_145_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom7]) ).
cnf(c_0_146_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom7]) ).
cnf(c_0_147_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom7]) ).
cnf(c_0_148_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_148,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] :
~ ( in(X1,X2)
& empty(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_1_002,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_2_003,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_4_005,axiom,
? [X1] : ~ empty(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_5_006,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_6_007,axiom,
? [X1] : empty(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_7_008,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_8_009,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
c_0_0 ).
fof(c_0_10_011,axiom,
! [X1] :
( ( relation(X1)
& empty(X1)
& function(X1) )
=> ( relation(X1)
& function(X1)
& one_to_one(X1) ) ),
c_0_1 ).
fof(c_0_11_012,axiom,
! [X1] :
? [X2] : element(X2,X1),
c_0_2 ).
fof(c_0_12_013,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
c_0_3 ).
fof(c_0_13_014,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_14_015,axiom,
? [X1] :
( relation(X1)
& function(X1) ),
c_0_5 ).
fof(c_0_15_016,axiom,
? [X1] : empty(X1),
c_0_6 ).
fof(c_0_16_017,axiom,
? [X1] :
( relation(X1)
& empty(X1)
& function(X1) ),
c_0_7 ).
fof(c_0_17_018,axiom,
? [X1] :
( relation(X1)
& function(X1)
& one_to_one(X1) ),
c_0_8 ).
fof(c_0_18_019,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_19_020,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_10])])]) ).
fof(c_0_20_021,plain,
! [X3] : element(esk6_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_21_022,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_12])])])]) ).
fof(c_0_22_023,plain,
~ empty(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
fof(c_0_23_024,plain,
( relation(esk5_0)
& function(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_24_025,plain,
empty(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
fof(c_0_25_026,plain,
( relation(esk3_0)
& empty(esk3_0)
& function(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).
fof(c_0_26_027,plain,
( relation(esk1_0)
& function(esk1_0)
& one_to_one(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
cnf(c_0_27_028,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_029,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29_030,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30_031,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31_032,plain,
element(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32_033,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33_034,plain,
~ empty(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34_035,plain,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35_036,plain,
function(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36_037,plain,
empty(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37_038,plain,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38_039,plain,
empty(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39_040,plain,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_40_041,plain,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41_042,plain,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42_043,plain,
one_to_one(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43_044,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
c_0_27,
[final] ).
cnf(c_0_44_045,plain,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_28,
[final] ).
cnf(c_0_45_046,plain,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_29,
[final] ).
cnf(c_0_46_047,plain,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
c_0_30,
[final] ).
cnf(c_0_47_048,plain,
element(esk6_1(X1),X1),
c_0_31,
[final] ).
cnf(c_0_48_049,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
c_0_32,
[final] ).
cnf(c_0_49_050,plain,
~ empty(esk2_0),
c_0_33,
[final] ).
cnf(c_0_50_051,plain,
relation(esk5_0),
c_0_34,
[final] ).
cnf(c_0_51_052,plain,
function(esk5_0),
c_0_35,
[final] ).
cnf(c_0_52_053,plain,
empty(esk4_0),
c_0_36,
[final] ).
cnf(c_0_53_054,plain,
relation(esk3_0),
c_0_37,
[final] ).
cnf(c_0_54_055,plain,
empty(esk3_0),
c_0_38,
[final] ).
cnf(c_0_55_056,plain,
function(esk3_0),
c_0_39,
[final] ).
cnf(c_0_56_057,plain,
relation(esk1_0),
c_0_40,
[final] ).
cnf(c_0_57_058,plain,
function(esk1_0),
c_0_41,
[final] ).
cnf(c_0_58_059,plain,
one_to_one(esk1_0),
c_0_42,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_43_0,axiom,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_1,axiom,
( ~ in(X2,X1)
| ~ empty(X1) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_0,axiom,
( relation(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_1,axiom,
( ~ function(X1)
| relation(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| relation(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
( function(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_1,axiom,
( ~ function(X1)
| function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| function(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| function(X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
( one_to_one(X1)
| ~ function(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_1,axiom,
( ~ function(X1)
| one_to_one(X1)
| ~ empty(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( ~ empty(X1)
| ~ function(X1)
| one_to_one(X1)
| ~ relation(X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_3,axiom,
( ~ relation(X1)
| ~ empty(X1)
| ~ function(X1)
| one_to_one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_48_0,axiom,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( ~ empty(X1)
| X2 = X1
| ~ empty(X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ empty(X2)
| ~ empty(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
~ empty(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_47_0,axiom,
element(sk2_esk6_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_50_0,axiom,
relation(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_0,axiom,
function(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_0,axiom,
empty(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_0,axiom,
relation(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
empty(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
function(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
relation(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_0,axiom,
function(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_58_0,axiom,
one_to_one(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_060,conjecture,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
file('<stdin>',l3_wellord1) ).
fof(c_0_1_061,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_062,negated_conjecture,
! [X7,X8] :
( relation(esk1_0)
& ( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ antisymmetric(esk1_0) )
& ( in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ antisymmetric(esk1_0) )
& ( esk2_0 != esk3_0
| ~ antisymmetric(esk1_0) )
& ( antisymmetric(esk1_0)
| ~ in(ordered_pair(X7,X8),esk1_0)
| ~ in(ordered_pair(X8,X7),esk1_0)
| X7 = X8 ) ),
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_1])])])])]) ).
cnf(c_0_3_063,negated_conjecture,
( X1 = X2
| antisymmetric(esk1_0)
| ~ in(ordered_pair(X2,X1),esk1_0)
| ~ in(ordered_pair(X1,X2),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_064,negated_conjecture,
( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_065,negated_conjecture,
( in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_066,negated_conjecture,
( ~ antisymmetric(esk1_0)
| esk2_0 != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_067,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_068,negated_conjecture,
( X1 = X2
| antisymmetric(esk1_0)
| ~ in(ordered_pair(X2,X1),esk1_0)
| ~ in(ordered_pair(X1,X2),esk1_0) ),
c_0_3,
[final] ).
cnf(c_0_9_069,negated_conjecture,
( in(ordered_pair(esk2_0,esk3_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
c_0_4,
[final] ).
cnf(c_0_10_070,negated_conjecture,
( in(ordered_pair(esk3_0,esk2_0),esk1_0)
| ~ antisymmetric(esk1_0) ),
c_0_5,
[final] ).
cnf(c_0_11_071,negated_conjecture,
( ~ antisymmetric(esk1_0)
| esk3_0 != esk2_0 ),
c_0_6,
[final] ).
cnf(c_0_12_072,negated_conjecture,
relation(esk1_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_61,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/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_115_0) ).
cnf(c_188,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_61]) ).
cnf(c_9300,plain,
( ~ in(ordered_pair(sk3_esk3_0,X0),X1)
| ~ in(ordered_pair(X0,sk3_esk3_0),X1)
| ~ in(sk3_esk3_0,relation_field(sk3_esk1_0))
| ~ in(X0,relation_field(sk3_esk1_0))
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(sk3_esk1_0))
| sk3_esk3_0 = X0 ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_9339,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,relation_field(sk3_esk1_0))
| ~ in(sk3_esk3_0,relation_field(sk3_esk1_0))
| ~ relation(X0)
| ~ is_antisymmetric_in(X0,relation_field(sk3_esk1_0))
| sk3_esk3_0 = sk3_esk2_0 ),
inference(instantiation,[status(thm)],[c_9300]) ).
cnf(c_9340,plain,
( ~ in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
| ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),sk3_esk1_0)
| ~ in(sk3_esk2_0,relation_field(sk3_esk1_0))
| ~ in(sk3_esk3_0,relation_field(sk3_esk1_0))
| ~ relation(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| sk3_esk3_0 = sk3_esk2_0 ),
inference(instantiation,[status(thm)],[c_9339]) ).
cnf(c_62,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_8) ).
cnf(c_92,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_112,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_92]) ).
cnf(c_121,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_112]) ).
cnf(c_122,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_121]) ).
cnf(c_189,negated_conjecture,
( ~ in(ordered_pair(X0,X1),sk3_esk1_0)
| ~ in(ordered_pair(X1,X0),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| X0 = X1 ),
inference(copy,[status(esa)],[c_122]) ).
cnf(c_9264,plain,
( ~ in(ordered_pair(sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0)),sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0))),sk3_esk1_0)
| ~ in(ordered_pair(sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0)),sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0))),sk3_esk1_0)
| antisymmetric(sk3_esk1_0)
| sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0)) = sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_189]) ).
cnf(c_58,plain,
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_118_0) ).
cnf(c_185,plain,
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_9218,plain,
( ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),sk3_esk1_0)
| in(sk3_esk3_0,relation_field(sk3_esk1_0))
| ~ relation(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_57,plain,
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_119_0) ).
cnf(c_184,plain,
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_9219,plain,
( ~ in(ordered_pair(sk3_esk3_0,sk3_esk2_0),sk3_esk1_0)
| in(sk3_esk2_0,relation_field(sk3_esk1_0))
| ~ relation(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_184]) ).
cnf(c_60,plain,
( in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_116_0) ).
cnf(c_187,plain,
( in(ordered_pair(sk1_esk1_2(X0,X1),sk1_esk2_2(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_9157,plain,
( in(ordered_pair(sk1_esk1_2(X0,relation_field(X0)),sk1_esk2_2(X0,relation_field(X0))),X0)
| ~ relation(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_9158,plain,
( in(ordered_pair(sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0)),sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0))),sk3_esk1_0)
| ~ relation(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_9157]) ).
cnf(c_59,plain,
( in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk1_2(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_117_0) ).
cnf(c_186,plain,
( in(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk1_2(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_9155,plain,
( in(ordered_pair(sk1_esk2_2(X0,relation_field(X0)),sk1_esk1_2(X0,relation_field(X0))),X0)
| ~ relation(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_9156,plain,
( in(ordered_pair(sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0)),sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0))),sk3_esk1_0)
| ~ relation(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_9155]) ).
cnf(c_56,plain,
( sk1_esk2_2(X0,X1) != sk1_esk1_2(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_120_0) ).
cnf(c_183,plain,
( sk1_esk2_2(X0,X1) != sk1_esk1_2(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_56]) ).
cnf(c_9153,plain,
( ~ relation(X0)
| is_antisymmetric_in(X0,relation_field(X0))
| sk1_esk2_2(X0,relation_field(X0)) != sk1_esk1_2(X0,relation_field(X0)) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_9154,plain,
( ~ relation(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| sk1_esk2_2(sk3_esk1_0,relation_field(sk3_esk1_0)) != sk1_esk1_2(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_9153]) ).
cnf(c_47,plain,
( ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_129_0) ).
cnf(c_80,plain,
( ~ relation(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ antisymmetric(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_47]) ).
cnf(c_51,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_125_0) ).
cnf(c_76,plain,
( ~ relation(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| antisymmetric(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_63,negated_conjecture,
( in(ordered_pair(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_9) ).
cnf(c_64,negated_conjecture,
( in(ordered_pair(sk3_esk3_0,sk3_esk2_0),sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_10) ).
cnf(c_65,negated_conjecture,
( ~ antisymmetric(sk3_esk1_0)
| sk3_esk3_0 != sk3_esk2_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_11) ).
cnf(c_66,negated_conjecture,
relation(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_9340,c_9264,c_9218,c_9219,c_9158,c_9156,c_9154,c_80,c_76,c_63,c_64,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 23:06:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % 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_9fe332.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ed18dc.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4d951b | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.34/0.64 % --bmc1_dump_unsat_core_tptp false
% 0.34/0.64 % --bmc1_dump_file -
% 0.34/0.64 % --bmc1_ucm_expand_uc_limit 128
% 0.34/0.64 % --bmc1_ucm_n_expand_iterations 6
% 0.34/0.64 % --bmc1_ucm_extend_mode 1
% 0.34/0.64 % --bmc1_ucm_init_mode 2
% 0.34/0.64 % --bmc1_ucm_cone_mode none
% 0.34/0.64 % --bmc1_ucm_reduced_relation_type 0
% 0.34/0.64 % --bmc1_ucm_relax_model 4
% 0.34/0.64 % --bmc1_ucm_full_tr_after_sat true
% 0.34/0.64 % --bmc1_ucm_expand_neg_assumptions false
% 0.34/0.64 % --bmc1_ucm_layered_model none
% 0.34/0.64 % --bmc1_ucm_max_lemma_size 10
% 0.34/0.64
% 0.34/0.64 % ------ AIG Options
% 0.34/0.64
% 0.34/0.64 % --aig_mode false
% 0.34/0.64
% 0.34/0.64 % ------ Instantiation Options
% 0.34/0.64
% 0.34/0.64 % --instantiation_flag true
% 0.34/0.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.34/0.64 % --inst_solver_per_active 750
% 0.34/0.64 % --inst_solver_calls_frac 0.5
% 0.34/0.64 % --inst_passive_queue_type priority_queues
% 0.34/0.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.34/0.64 % --inst_passive_queues_freq [25;2]
% 0.34/0.64 % --inst_dismatching true
% 0.34/0.64 % --inst_eager_unprocessed_to_passive true
% 0.34/0.64 % --inst_prop_sim_given true
% 0.34/0.64 % --inst_prop_sim_new false
% 0.34/0.64 % --inst_orphan_elimination true
% 0.34/0.64 % --inst_learning_loop_flag true
% 0.34/0.64 % --inst_learning_start 3000
% 0.34/0.64 % --inst_learning_factor 2
% 0.34/0.64 % --inst_start_prop_sim_after_learn 3
% 0.34/0.64 % --inst_sel_renew solver
% 0.34/0.64 % --inst_lit_activity_flag true
% 0.34/0.64 % --inst_out_proof true
% 0.34/0.64
% 0.34/0.64 % ------ Resolution Options
% 0.34/0.64
% 0.34/0.64 % --resolution_flag true
% 0.34/0.64 % --res_lit_sel kbo_max
% 0.34/0.64 % --res_to_prop_solver none
% 0.34/0.64 % --res_prop_simpl_new false
% 0.34/0.64 % --res_prop_simpl_given false
% 0.34/0.64 % --res_passive_queue_type priority_queues
% 0.34/0.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.34/0.64 % --res_passive_queues_freq [15;5]
% 0.34/0.64 % --res_forward_subs full
% 0.34/0.64 % --res_backward_subs full
% 0.34/0.64 % --res_forward_subs_resolution true
% 0.34/0.64 % --res_backward_subs_resolution true
% 0.34/0.64 % --res_orphan_elimination false
% 0.34/0.64 % --res_time_limit 1000.
% 0.34/0.64 % --res_out_proof true
% 0.34/0.64 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_9fe332.s
% 0.34/0.64 % --modulo true
% 0.34/0.64
% 0.34/0.64 % ------ Combination Options
% 0.34/0.64
% 0.34/0.64 % --comb_res_mult 1000
% 0.34/0.64 % --comb_inst_mult 300
% 0.34/0.64 % ------
% 0.34/0.64
% 0.34/0.64 % ------ Parsing...% successful
% 0.34/0.64
% 0.34/0.64 % ------ 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 %
% 0.34/0.64
% 0.34/0.64 % ------ Proving...
% 0.34/0.64 % ------ Problem Properties
% 0.34/0.64
% 0.34/0.64 %
% 0.34/0.64 % EPR false
% 0.34/0.64 % Horn false
% 0.34/0.64 % Has equality true
% 0.34/0.64
% 0.34/0.64 % % ------ Input Options Time Limit: Unbounded
% 0.34/0.64
% 0.34/0.64
% 0.34/0.64 Compiling...
% 0.34/0.64 Loading plugin: done.
% 0.34/0.64 Compiling...
% 0.34/0.64 Loading plugin: done.
% 0.34/0.64 % % ------ Current options:
% 0.34/0.64
% 0.34/0.64 % ------ Input Options
% 0.34/0.64
% 0.34/0.64 % --out_options all
% 0.34/0.64 % --tptp_safe_out true
% 0.34/0.64 % --problem_path ""
% 0.34/0.64 % --include_path ""
% 0.34/0.64 % --clausifier .//eprover
% 0.34/0.64 % --clausifier_options --tstp-format
% 0.34/0.64 % --stdin false
% 0.34/0.64 % --dbg_backtrace false
% 0.34/0.64 % --dbg_dump_prop_clauses false
% 0.34/0.64 % --dbg_dump_prop_clauses_file -
% 0.34/0.64 % --dbg_out_stat false
% 0.34/0.64
% 0.34/0.64 % ------ General Options
% 0.34/0.64
% 0.34/0.64 % --fof false
% 0.34/0.64 % --time_out_real 150.
% 0.34/0.64 % --time_out_prep_mult 0.2
% 0.34/0.64 % --time_out_virtual -1.
% 0.34/0.64 % --schedule none
% 0.34/0.64 % --ground_splitting input
% 0.34/0.64 % --splitting_nvd 16
% 0.34/0.64 % --non_eq_to_eq false
% 0.34/0.64 % --prep_gs_sim true
% 0.34/0.64 % --prep_unflatten false
% 0.34/0.64 % --prep_res_sim true
% 0.34/0.64 % --prep_upred true
% 0.34/0.64 % --res_sim_input true
% 0.34/0.64 % --clause_weak_htbl true
% 0.34/0.64 % --gc_record_bc_elim false
% 0.34/0.64 % --symbol_type_check false
% 0.34/0.64 % --clausify_out false
% 0.34/0.64 % --large_theory_mode false
% 0.34/0.64 % --prep_sem_filter none
% 0.34/0.64 % --prep_sem_filter_out false
% 0.34/0.64 % --preprocessed_out false
% 0.34/0.64 % --sub_typing false
% 0.34/0.64 % --brand_transform false
% 0.34/0.64 % --pure_diseq_elim true
% 0.34/0.64 % --min_unsat_core false
% 0.34/0.64 % --pred_elim true
% 0.34/0.64 % --add_important_lit false
% 0.34/0.64 % --soft_assumptions false
% 0.34/0.64 % --reset_solvers false
% 0.34/0.64 % --bc_imp_inh []
% 0.34/0.64 % --conj_cone_tolerance 1.5
% 0.34/0.64 % --prolific_symb_bound 500
% 0.34/0.64 % --lt_threshold 2000
% 0.34/0.64
% 0.34/0.64 % ------ SAT Options
% 0.34/0.64
% 0.34/0.64 % --sat_mode false
% 0.34/0.64 % --sat_fm_restart_options ""
% 0.34/0.64 % --sat_gr_def false
% 0.34/0.64 % --sat_epr_types true
% 0.34/0.64 % --sat_non_cyclic_types false
% 0.34/0.64 % --sat_finite_models false
% 0.34/0.64 % --sat_fm_lemmas false
% 0.34/0.64 % --sat_fm_prep false
% 0.34/0.64 % --sat_fm_uc_incr true
% 0.34/0.64 % --sat_out_model small
% 0.34/0.64 % --sat_out_clauses false
% 0.34/0.64
% 0.34/0.64 % ------ QBF Options
% 0.34/0.64
% 0.34/0.64 % --qbf_mode false
% 0.34/0.64 % --qbf_elim_univ true
% 0.34/0.64 % --qbf_sk_in true
% 0.34/0.64 % --qbf_pred_elim true
% 0.34/0.64 % --qbf_split 32
% 0.34/0.64
% 0.34/0.64 % ------ BMC1 Options
% 0.34/0.64
% 0.34/0.64 % --bmc1_incremental false
% 0.34/0.64 % --bmc1_axioms reachable_all
% 0.34/0.64 % --bmc1_min_bound 0
% 0.34/0.64 % --bmc1_max_bound -1
% 0.34/0.64 % --bmc1_max_bound_default -1
% 0.34/0.64 % --bmc1_symbol_reachability true
% 0.34/0.64 % --bmc1_property_lemmas false
% 0.34/0.64 % --bmc1_k_induction false
% 0.34/0.64 % --bmc1_non_equiv_states false
% 0.34/0.64 % --bmc1_deadlock false
% 0.34/0.64 % --bmc1_ucm false
% 0.34/0.64 % --bmc1_add_unsat_core none
% 0.34/0.64 % --bmc1_unsat_core_children false
% 0.34/0.64 % --bmc1_unsat_core_extrapolate_axioms false
% 0.34/0.64 % --bmc1_out_stat full
% 0.34/0.64 % --bmc1_ground_init false
% 0.34/0.64 % --bmc1_pre_inst_next_state false
% 0.34/0.64 % --bmc1_pre_inst_state false
% 0.34/0.64 % --bmc1_pre_inst_reach_state false
% 0.34/0.64 % --bmc1_out_unsat_core false
% 0.34/0.64 % --bmc1_aig_witness_out false
% 0.34/0.64 % --bmc1_verbose false
% 0.34/0.64 % --bmc1_dump_clauses_tptp false
% 0.34/0.64 % --bmc1_dump_unsat_core_tptp false
% 0.34/0.64 % --bmc1_dump_file -
% 0.34/0.64 % --bmc1_ucm_expand_uc_limit 128
% 0.34/0.64 % --bmc1_ucm_n_expand_iterations 6
% 0.34/0.64 % --bmc1_ucm_extend_mode 1
% 0.34/0.64 % --bmc1_ucm_init_mode 2
% 0.34/0.64 % --bmc1_ucm_cone_mode none
% 0.34/0.64 % --bmc1_ucm_reduced_relation_type 0
% 0.34/0.64 % --bmc1_ucm_relax_model 4
% 0.34/0.64 % --bmc1_ucm_full_tr_after_sat true
% 0.34/0.64 % --bmc1_ucm_expand_neg_assumptions false
% 0.34/0.64 % --bmc1_ucm_layered_model none
% 0.34/0.64 % --bmc1_ucm_max_lemma_size 10
% 0.34/0.64
% 0.34/0.64 % ------ AIG Options
% 0.34/0.64
% 0.34/0.64 % --aig_mode false
% 0.34/0.64
% 0.34/0.64 % ------ Instantiation Options
% 0.34/0.64
% 0.34/0.64 % --instantiation_flag true
% 0.34/0.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.34/0.64 % --inst_solver_per_active 750
% 0.34/0.64 % --inst_solver_calls_frac 0.5
% 0.34/0.64 % --inst_passive_queue_type priority_queues
% 0.34/0.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.34/0.64 % --inst_passive_queues_freq [25;2]
% 0.34/0.64 % --inst_dismatching true
% 0.72/0.98 % --inst_eager_unprocessed_to_passive true
% 0.72/0.98 % --inst_prop_sim_given true
% 0.72/0.98 % --inst_prop_sim_new false
% 0.72/0.98 % --inst_orphan_elimination true
% 0.72/0.98 % --inst_learning_loop_flag true
% 0.72/0.98 % --inst_learning_start 3000
% 0.72/0.98 % --inst_learning_factor 2
% 0.72/0.98 % --inst_start_prop_sim_after_learn 3
% 0.72/0.98 % --inst_sel_renew solver
% 0.72/0.98 % --inst_lit_activity_flag true
% 0.72/0.98 % --inst_out_proof true
% 0.72/0.98
% 0.72/0.98 % ------ Resolution Options
% 0.72/0.98
% 0.72/0.98 % --resolution_flag true
% 0.72/0.98 % --res_lit_sel kbo_max
% 0.72/0.98 % --res_to_prop_solver none
% 0.72/0.98 % --res_prop_simpl_new false
% 0.72/0.98 % --res_prop_simpl_given false
% 0.72/0.98 % --res_passive_queue_type priority_queues
% 0.72/0.98 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.72/0.98 % --res_passive_queues_freq [15;5]
% 0.72/0.98 % --res_forward_subs full
% 0.72/0.98 % --res_backward_subs full
% 0.72/0.98 % --res_forward_subs_resolution true
% 0.72/0.98 % --res_backward_subs_resolution true
% 0.72/0.98 % --res_orphan_elimination false
% 0.72/0.98 % --res_time_limit 1000.
% 0.72/0.98 % --res_out_proof true
% 0.72/0.98 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_9fe332.s
% 0.72/0.98 % --modulo true
% 0.72/0.98
% 0.72/0.98 % ------ Combination Options
% 0.72/0.98
% 0.72/0.98 % --comb_res_mult 1000
% 0.72/0.98 % --comb_inst_mult 300
% 0.72/0.98 % ------
% 0.72/0.98
% 0.72/0.98
% 0.72/0.98
% 0.72/0.98 % ------ Proving...
% 0.72/0.98 %
% 0.72/0.98
% 0.72/0.98
% 0.72/0.98 % ------ Statistics
% 0.72/0.98
% 0.72/0.98 % ------ General
% 0.72/0.98
% 0.72/0.98 % num_of_input_clauses: 67
% 0.72/0.98 % num_of_input_neg_conjectures: 5
% 0.72/0.98 % num_of_splits: 0
% 0.72/0.98 % num_of_split_atoms: 0
% 0.72/0.98 % num_of_sem_filtered_clauses: 0
% 0.72/0.98 % num_of_subtypes: 0
% 0.72/0.98 % monotx_restored_types: 0
% 0.72/0.98 % sat_num_of_epr_types: 0
% 0.72/0.98 % sat_num_of_non_cyclic_types: 0
% 0.72/0.98 % sat_guarded_non_collapsed_types: 0
% 0.72/0.98 % is_epr: 0
% 0.72/0.98 % is_horn: 0
% 0.72/0.98 % has_eq: 1
% 0.72/0.98 % num_pure_diseq_elim: 0
% 0.72/0.98 % simp_replaced_by: 0
% 0.72/0.98 % res_preprocessed: 10
% 0.72/0.98 % prep_upred: 0
% 0.72/0.98 % prep_unflattend: 0
% 0.72/0.98 % pred_elim_cands: 0
% 0.72/0.98 % pred_elim: 0
% 0.72/0.98 % pred_elim_cl: 0
% 0.72/0.98 % pred_elim_cycles: 0
% 0.72/0.98 % forced_gc_time: 0
% 0.72/0.98 % gc_basic_clause_elim: 0
% 0.72/0.98 % parsing_time: 0.002
% 0.72/0.98 % sem_filter_time: 0.
% 0.72/0.98 % pred_elim_time: 0.
% 0.72/0.98 % out_proof_time: 0.001
% 0.72/0.98 % monotx_time: 0.
% 0.72/0.98 % subtype_inf_time: 0.
% 0.72/0.98 % unif_index_cands_time: 0.
% 0.72/0.98 % unif_index_add_time: 0.004
% 0.72/0.98 % total_time: 0.573
% 0.72/0.98 % num_of_symbols: 52
% 0.72/0.98 % num_of_terms: 8365
% 0.72/0.98
% 0.72/0.98 % ------ Propositional Solver
% 0.72/0.98
% 0.72/0.98 % prop_solver_calls: 6
% 0.72/0.98 % prop_fast_solver_calls: 33
% 0.72/0.98 % prop_num_of_clauses: 218
% 0.72/0.98 % prop_preprocess_simplified: 449
% 0.72/0.98 % prop_fo_subsumed: 0
% 0.72/0.98 % prop_solver_time: 0.
% 0.72/0.98 % prop_fast_solver_time: 0.
% 0.72/0.98 % prop_unsat_core_time: 0.
% 0.72/0.98
% 0.72/0.98 % ------ QBF
% 0.72/0.98
% 0.72/0.98 % qbf_q_res: 0
% 0.72/0.98 % qbf_num_tautologies: 0
% 0.72/0.98 % qbf_prep_cycles: 0
% 0.72/0.98
% 0.72/0.98 % ------ BMC1
% 0.72/0.98
% 0.72/0.98 % bmc1_current_bound: -1
% 0.72/0.98 % bmc1_last_solved_bound: -1
% 0.72/0.98 % bmc1_unsat_core_size: -1
% 0.72/0.98 % bmc1_unsat_core_parents_size: -1
% 0.72/0.98 % bmc1_merge_next_fun: 0
% 0.72/0.98 % bmc1_unsat_core_clauses_time: 0.
% 0.72/0.98
% 0.72/0.98 % ------ Instantiation
% 0.72/0.98
% 0.72/0.98 % inst_num_of_clauses: 164
% 0.72/0.98 % inst_num_in_passive: 40
% 0.72/0.98 % inst_num_in_active: 100
% 0.72/0.98 % inst_num_in_unprocessed: 14
% 0.72/0.98 % inst_num_of_loops: 143
% 0.72/0.98 % inst_num_of_learning_restarts: 0
% 0.72/0.98 % inst_num_moves_active_passive: 31
% 0.72/0.98 % inst_lit_activity: 39
% 0.72/0.98 % inst_lit_activity_moves: 0
% 0.72/0.98 % inst_num_tautologies: 8
% 0.72/0.98 % inst_num_prop_implied: 0
% 0.72/0.98 % inst_num_existing_simplified: 0
% 0.72/0.98 % inst_num_eq_res_simplified: 0
% 0.72/0.98 % inst_num_child_elim: 0
% 0.72/0.98 % inst_num_of_dismatching_blockings: 0
% 0.72/0.98 % inst_num_of_non_proper_insts: 99
% 0.72/0.98 % inst_num_of_duplicates: 40
% 0.72/0.98 % inst_inst_num_from_inst_to_res: 0
% 0.72/0.98 % inst_dismatching_checking_time: 0.
% 0.72/0.98
% 0.72/0.98 % ------ Resolution
% 0.72/0.98
% 0.72/0.98 % res_num_of_clauses: 2004
% 0.72/0.98 % res_num_in_passive: 949
% 0.72/0.98 % res_num_in_active: 1025
% 0.72/0.98 % res_num_of_loops: 1000
% 0.72/0.98 % res_forward_subset_subsumed: 39
% 0.72/0.98 % res_backward_subset_subsumed: 1
% 0.72/0.98 % res_forward_subsumed: 0
% 0.72/0.98 % res_backward_subsumed: 2
% 0.72/0.98 % res_forward_subsumption_resolution: 8
% 0.72/0.98 % res_backward_subsumption_resolution: 10
% 0.72/0.98 % res_clause_to_clause_subsumption: 110470
% 0.72/0.98 % res_orphan_elimination: 0
% 0.72/0.98 % res_tautology_del: 11
% 0.72/0.98 % res_num_eq_res_simplified: 0
% 0.72/0.98 % res_num_sel_changes: 0
% 0.72/0.98 % res_moves_from_active_to_pass: 0
% 0.72/0.98
% 0.72/0.98 % Status Unsatisfiable
% 0.72/0.98 % SZS status Theorem
% 0.72/0.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------