TSTP Solution File: SEU244+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n014.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 10:26:25 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : CNFRefutation 0.20s
% 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(t5_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_founded_relation(A)
<=> is_well_founded_in(A,relation_field(A)) ) ),
input ).
fof(t5_wellord1_0,plain,
! [A] :
( ~ relation(A)
| ( well_founded_relation(A)
<=> is_well_founded_in(A,relation_field(A)) ) ),
inference(orientation,[status(thm)],[t5_wellord1]) ).
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(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_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_relat_1,axiom,
$true,
input ).
fof(dt_k1_relat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_relat_1]) ).
fof(d9_relat_2,axiom,
! [A] :
( relation(A)
=> ( reflexive(A)
<=> is_reflexive_in(A,relation_field(A)) ) ),
input ).
fof(d9_relat_2_0,plain,
! [A] :
( ~ relation(A)
| ( reflexive(A)
<=> is_reflexive_in(A,relation_field(A)) ) ),
inference(orientation,[status(thm)],[d9_relat_2]) ).
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_wellord1,axiom,
! [A] :
( relation(A)
=> ! [B] :
( well_orders(A,B)
<=> ( is_reflexive_in(A,B)
& is_transitive_in(A,B)
& is_antisymmetric_in(A,B)
& is_connected_in(A,B)
& is_well_founded_in(A,B) ) ) ),
input ).
fof(d5_wellord1_0,plain,
! [A] :
( ~ relation(A)
| ! [B] :
( well_orders(A,B)
<=> ( is_reflexive_in(A,B)
& is_transitive_in(A,B)
& is_antisymmetric_in(A,B)
& is_connected_in(A,B)
& is_well_founded_in(A,B) ) ) ),
inference(orientation,[status(thm)],[d5_wellord1]) ).
fof(d4_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ),
input ).
fof(d4_wellord1_0,plain,
! [A] :
( ~ relation(A)
| ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ),
inference(orientation,[status(thm)],[d4_wellord1]) ).
fof(d16_relat_2,axiom,
! [A] :
( relation(A)
=> ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) ) ),
input ).
fof(d16_relat_2_0,plain,
! [A] :
( ~ relation(A)
| ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) ) ),
inference(orientation,[status(thm)],[d16_relat_2]) ).
fof(d14_relat_2,axiom,
! [A] :
( relation(A)
=> ( connected(A)
<=> is_connected_in(A,relation_field(A)) ) ),
input ).
fof(d14_relat_2_0,plain,
! [A] :
( ~ relation(A)
| ( connected(A)
<=> is_connected_in(A,relation_field(A)) ) ),
inference(orientation,[status(thm)],[d14_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(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> set_union2(A,B) = set_union2(B,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k2_xboole_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ relation(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| ( antisymmetric(A)
<=> is_antisymmetric_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[d12_relat_2_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom2(A)
| ( connected(A)
<=> is_connected_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[d14_relat_2_0,def_lhs_atom2]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom2(A)
| ( transitive(A)
<=> is_transitive_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[d16_relat_2_0,def_lhs_atom2]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom2(A)
| ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ),
inference(fold_definition,[status(thm)],[d4_wellord1_0,def_lhs_atom2]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom2(A)
| ! [B] :
( well_orders(A,B)
<=> ( is_reflexive_in(A,B)
& is_transitive_in(A,B)
& is_antisymmetric_in(A,B)
& is_connected_in(A,B)
& is_well_founded_in(A,B) ) ) ),
inference(fold_definition,[status(thm)],[d5_wellord1_0,def_lhs_atom2]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom2(A)
| relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ),
inference(fold_definition,[status(thm)],[d6_relat_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_7,plain,
! [A] :
( lhs_atom2(A)
| ( reflexive(A)
<=> is_reflexive_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[d9_relat_2_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_relat_1_0,def_lhs_atom3]) ).
fof(to_be_clausified_9,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_relat_1_0,def_lhs_atom3]) ).
fof(to_be_clausified_10,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_xboole_0_0,def_lhs_atom3]) ).
fof(to_be_clausified_11,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_relat_1_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> set_union2(A,A) = A ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom4(A)
| $false ),
inference(fold_definition,[status(thm)],[idempotence_k2_xboole_0_0,def_lhs_atom4]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom2(A)
| ( well_founded_relation(A)
<=> is_well_founded_in(A,relation_field(A)) ) ),
inference(fold_definition,[status(thm)],[t5_wellord1_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2] :
( lhs_atom2(X2)
| ! [X1] :
( well_orders(X2,X1)
<=> ( is_reflexive_in(X2,X1)
& is_transitive_in(X2,X1)
& is_antisymmetric_in(X2,X1)
& is_connected_in(X2,X1)
& is_well_founded_in(X2,X1) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_1,axiom,
! [X2] :
( lhs_atom2(X2)
| ( well_ordering(X2)
<=> ( reflexive(X2)
& transitive(X2)
& antisymmetric(X2)
& connected(X2)
& well_founded_relation(X2) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_2,axiom,
! [X2] :
( lhs_atom2(X2)
| ( well_founded_relation(X2)
<=> is_well_founded_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_3,axiom,
! [X2] :
( lhs_atom2(X2)
| ( reflexive(X2)
<=> is_reflexive_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_4,axiom,
! [X2] :
( lhs_atom2(X2)
| ( transitive(X2)
<=> is_transitive_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_5,axiom,
! [X2] :
( lhs_atom2(X2)
| ( connected(X2)
<=> is_connected_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom2(X2)
| ( antisymmetric(X2)
<=> is_antisymmetric_in(X2,relation_field(X2)) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_7,axiom,
! [X2] :
( lhs_atom2(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_8,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_9,axiom,
! [X2] :
( lhs_atom4(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_10,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_11,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_12,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_13,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom2(X2)
| ! [X1] :
( well_orders(X2,X1)
<=> ( is_reflexive_in(X2,X1)
& is_transitive_in(X2,X1)
& is_antisymmetric_in(X2,X1)
& is_connected_in(X2,X1)
& is_well_founded_in(X2,X1) ) ) ),
c_0_0 ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom2(X2)
| ( well_ordering(X2)
<=> ( reflexive(X2)
& transitive(X2)
& antisymmetric(X2)
& connected(X2)
& well_founded_relation(X2) ) ) ),
c_0_1 ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom2(X2)
| ( well_founded_relation(X2)
<=> is_well_founded_in(X2,relation_field(X2)) ) ),
c_0_2 ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom2(X2)
| ( reflexive(X2)
<=> is_reflexive_in(X2,relation_field(X2)) ) ),
c_0_3 ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom2(X2)
| ( transitive(X2)
<=> is_transitive_in(X2,relation_field(X2)) ) ),
c_0_4 ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom2(X2)
| ( connected(X2)
<=> is_connected_in(X2,relation_field(X2)) ) ),
c_0_5 ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom2(X2)
| ( antisymmetric(X2)
<=> is_antisymmetric_in(X2,relation_field(X2)) ) ),
c_0_6 ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom2(X2)
| relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
c_0_7 ).
fof(c_0_22,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_23,plain,
! [X2] : lhs_atom4(X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_24,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_25,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_26,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_27,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_28,plain,
! [X3,X4,X5] :
( ( is_reflexive_in(X3,X4)
| ~ well_orders(X3,X4)
| lhs_atom2(X3) )
& ( is_transitive_in(X3,X4)
| ~ well_orders(X3,X4)
| lhs_atom2(X3) )
& ( is_antisymmetric_in(X3,X4)
| ~ well_orders(X3,X4)
| lhs_atom2(X3) )
& ( is_connected_in(X3,X4)
| ~ well_orders(X3,X4)
| lhs_atom2(X3) )
& ( is_well_founded_in(X3,X4)
| ~ well_orders(X3,X4)
| lhs_atom2(X3) )
& ( ~ is_reflexive_in(X3,X5)
| ~ is_transitive_in(X3,X5)
| ~ is_antisymmetric_in(X3,X5)
| ~ is_connected_in(X3,X5)
| ~ is_well_founded_in(X3,X5)
| well_orders(X3,X5)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).
fof(c_0_29,plain,
! [X3] :
( ( reflexive(X3)
| ~ well_ordering(X3)
| lhs_atom2(X3) )
& ( transitive(X3)
| ~ well_ordering(X3)
| lhs_atom2(X3) )
& ( antisymmetric(X3)
| ~ well_ordering(X3)
| lhs_atom2(X3) )
& ( connected(X3)
| ~ well_ordering(X3)
| lhs_atom2(X3) )
& ( well_founded_relation(X3)
| ~ well_ordering(X3)
| lhs_atom2(X3) )
& ( ~ reflexive(X3)
| ~ transitive(X3)
| ~ antisymmetric(X3)
| ~ connected(X3)
| ~ well_founded_relation(X3)
| well_ordering(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_30,plain,
! [X3] :
( ( ~ well_founded_relation(X3)
| is_well_founded_in(X3,relation_field(X3))
| lhs_atom2(X3) )
& ( ~ is_well_founded_in(X3,relation_field(X3))
| well_founded_relation(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_31,plain,
! [X3] :
( ( ~ reflexive(X3)
| is_reflexive_in(X3,relation_field(X3))
| lhs_atom2(X3) )
& ( ~ is_reflexive_in(X3,relation_field(X3))
| reflexive(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_32,plain,
! [X3] :
( ( ~ transitive(X3)
| is_transitive_in(X3,relation_field(X3))
| lhs_atom2(X3) )
& ( ~ is_transitive_in(X3,relation_field(X3))
| transitive(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_33,plain,
! [X3] :
( ( ~ connected(X3)
| is_connected_in(X3,relation_field(X3))
| lhs_atom2(X3) )
& ( ~ is_connected_in(X3,relation_field(X3))
| connected(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_34,plain,
! [X3] :
( ( ~ antisymmetric(X3)
| is_antisymmetric_in(X3,relation_field(X3))
| lhs_atom2(X3) )
& ( ~ is_antisymmetric_in(X3,relation_field(X3))
| antisymmetric(X3)
| lhs_atom2(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_35,plain,
! [X3] :
( lhs_atom2(X3)
| relation_field(X3) = set_union2(relation_dom(X3),relation_rng(X3)) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_36,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_37,plain,
! [X3] : lhs_atom4(X3),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_38,plain,
lhs_atom3,
c_0_24 ).
fof(c_0_39,plain,
lhs_atom3,
c_0_25 ).
fof(c_0_40,plain,
lhs_atom3,
c_0_26 ).
fof(c_0_41,plain,
lhs_atom3,
c_0_27 ).
cnf(c_0_42,plain,
( lhs_atom2(X1)
| well_orders(X1,X2)
| ~ is_well_founded_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_reflexive_in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( lhs_atom2(X1)
| well_ordering(X1)
| ~ well_founded_relation(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ transitive(X1)
| ~ reflexive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,plain,
( lhs_atom2(X1)
| is_reflexive_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,plain,
( lhs_atom2(X1)
| is_transitive_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
( lhs_atom2(X1)
| is_antisymmetric_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( lhs_atom2(X1)
| is_connected_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,plain,
( lhs_atom2(X1)
| is_well_founded_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49,plain,
( lhs_atom2(X1)
| well_founded_relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_50,plain,
( lhs_atom2(X1)
| reflexive(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
( lhs_atom2(X1)
| transitive(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_52,plain,
( lhs_atom2(X1)
| connected(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,plain,
( lhs_atom2(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54,plain,
( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,plain,
( lhs_atom2(X1)
| is_well_founded_in(X1,relation_field(X1))
| ~ well_founded_relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_56,plain,
( lhs_atom2(X1)
| is_reflexive_in(X1,relation_field(X1))
| ~ reflexive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_57,plain,
( lhs_atom2(X1)
| is_transitive_in(X1,relation_field(X1))
| ~ transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_58,plain,
( lhs_atom2(X1)
| is_connected_in(X1,relation_field(X1))
| ~ connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_59,plain,
( lhs_atom2(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_60,plain,
( lhs_atom2(X1)
| reflexive(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_61,plain,
( lhs_atom2(X1)
| transitive(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_62,plain,
( lhs_atom2(X1)
| antisymmetric(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_63,plain,
( lhs_atom2(X1)
| connected(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,plain,
( lhs_atom2(X1)
| well_founded_relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_65,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_66,plain,
lhs_atom4(X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_67,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_68,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_69,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_70,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_71,plain,
( lhs_atom2(X1)
| well_orders(X1,X2)
| ~ is_well_founded_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_reflexive_in(X1,X2) ),
c_0_42,
[final] ).
cnf(c_0_72,plain,
( lhs_atom2(X1)
| well_ordering(X1)
| ~ well_founded_relation(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ transitive(X1)
| ~ reflexive(X1) ),
c_0_43,
[final] ).
cnf(c_0_73,plain,
( lhs_atom2(X1)
| is_reflexive_in(X1,X2)
| ~ well_orders(X1,X2) ),
c_0_44,
[final] ).
cnf(c_0_74,plain,
( lhs_atom2(X1)
| is_transitive_in(X1,X2)
| ~ well_orders(X1,X2) ),
c_0_45,
[final] ).
cnf(c_0_75,plain,
( lhs_atom2(X1)
| is_antisymmetric_in(X1,X2)
| ~ well_orders(X1,X2) ),
c_0_46,
[final] ).
cnf(c_0_76,plain,
( lhs_atom2(X1)
| is_connected_in(X1,X2)
| ~ well_orders(X1,X2) ),
c_0_47,
[final] ).
cnf(c_0_77,plain,
( lhs_atom2(X1)
| is_well_founded_in(X1,X2)
| ~ well_orders(X1,X2) ),
c_0_48,
[final] ).
cnf(c_0_78,plain,
( lhs_atom2(X1)
| well_founded_relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
c_0_49,
[final] ).
cnf(c_0_79,plain,
( lhs_atom2(X1)
| reflexive(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
c_0_50,
[final] ).
cnf(c_0_80,plain,
( lhs_atom2(X1)
| transitive(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
c_0_51,
[final] ).
cnf(c_0_81,plain,
( lhs_atom2(X1)
| connected(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
c_0_52,
[final] ).
cnf(c_0_82,plain,
( lhs_atom2(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
c_0_53,
[final] ).
cnf(c_0_83,plain,
( set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1)
| lhs_atom2(X1) ),
c_0_54,
[final] ).
cnf(c_0_84,plain,
( lhs_atom2(X1)
| is_well_founded_in(X1,relation_field(X1))
| ~ well_founded_relation(X1) ),
c_0_55,
[final] ).
cnf(c_0_85,plain,
( lhs_atom2(X1)
| is_reflexive_in(X1,relation_field(X1))
| ~ reflexive(X1) ),
c_0_56,
[final] ).
cnf(c_0_86,plain,
( lhs_atom2(X1)
| is_transitive_in(X1,relation_field(X1))
| ~ transitive(X1) ),
c_0_57,
[final] ).
cnf(c_0_87,plain,
( lhs_atom2(X1)
| is_connected_in(X1,relation_field(X1))
| ~ connected(X1) ),
c_0_58,
[final] ).
cnf(c_0_88,plain,
( lhs_atom2(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
c_0_59,
[final] ).
cnf(c_0_89,plain,
( lhs_atom2(X1)
| reflexive(X1)
| ~ well_ordering(X1) ),
c_0_60,
[final] ).
cnf(c_0_90,plain,
( lhs_atom2(X1)
| transitive(X1)
| ~ well_ordering(X1) ),
c_0_61,
[final] ).
cnf(c_0_91,plain,
( lhs_atom2(X1)
| antisymmetric(X1)
| ~ well_ordering(X1) ),
c_0_62,
[final] ).
cnf(c_0_92,plain,
( lhs_atom2(X1)
| connected(X1)
| ~ well_ordering(X1) ),
c_0_63,
[final] ).
cnf(c_0_93,plain,
( lhs_atom2(X1)
| well_founded_relation(X1)
| ~ well_ordering(X1) ),
c_0_64,
[final] ).
cnf(c_0_94,plain,
lhs_atom1(X1,X2),
c_0_65,
[final] ).
cnf(c_0_95,plain,
lhs_atom4(X1),
c_0_66,
[final] ).
cnf(c_0_96,plain,
lhs_atom3,
c_0_67,
[final] ).
cnf(c_0_97,plain,
lhs_atom3,
c_0_68,
[final] ).
cnf(c_0_98,plain,
lhs_atom3,
c_0_69,
[final] ).
cnf(c_0_99,plain,
lhs_atom3,
c_0_70,
[final] ).
% End CNF derivation
cnf(c_0_71_0,axiom,
( ~ relation(X1)
| well_orders(X1,X2)
| ~ is_well_founded_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_reflexive_in(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_71,def_lhs_atom2]) ).
cnf(c_0_72_0,axiom,
( ~ relation(X1)
| well_ordering(X1)
| ~ well_founded_relation(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ transitive(X1)
| ~ reflexive(X1) ),
inference(unfold_definition,[status(thm)],[c_0_72,def_lhs_atom2]) ).
cnf(c_0_73_0,axiom,
( ~ relation(X1)
| is_reflexive_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_73,def_lhs_atom2]) ).
cnf(c_0_74_0,axiom,
( ~ relation(X1)
| is_transitive_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_74,def_lhs_atom2]) ).
cnf(c_0_75_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_75,def_lhs_atom2]) ).
cnf(c_0_76_0,axiom,
( ~ relation(X1)
| is_connected_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_76,def_lhs_atom2]) ).
cnf(c_0_77_0,axiom,
( ~ relation(X1)
| is_well_founded_in(X1,X2)
| ~ well_orders(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_77,def_lhs_atom2]) ).
cnf(c_0_78_0,axiom,
( ~ relation(X1)
| well_founded_relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_78,def_lhs_atom2]) ).
cnf(c_0_79_0,axiom,
( ~ relation(X1)
| reflexive(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_79,def_lhs_atom2]) ).
cnf(c_0_80_0,axiom,
( ~ relation(X1)
| transitive(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_80,def_lhs_atom2]) ).
cnf(c_0_81_0,axiom,
( ~ relation(X1)
| connected(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_81,def_lhs_atom2]) ).
cnf(c_0_82_0,axiom,
( ~ relation(X1)
| antisymmetric(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_82,def_lhs_atom2]) ).
cnf(c_0_83_0,axiom,
( ~ relation(X1)
| set_union2(relation_dom(X1),relation_rng(X1)) = relation_field(X1) ),
inference(unfold_definition,[status(thm)],[c_0_83,def_lhs_atom2]) ).
cnf(c_0_84_0,axiom,
( ~ relation(X1)
| is_well_founded_in(X1,relation_field(X1))
| ~ well_founded_relation(X1) ),
inference(unfold_definition,[status(thm)],[c_0_84,def_lhs_atom2]) ).
cnf(c_0_85_0,axiom,
( ~ relation(X1)
| is_reflexive_in(X1,relation_field(X1))
| ~ reflexive(X1) ),
inference(unfold_definition,[status(thm)],[c_0_85,def_lhs_atom2]) ).
cnf(c_0_86_0,axiom,
( ~ relation(X1)
| is_transitive_in(X1,relation_field(X1))
| ~ transitive(X1) ),
inference(unfold_definition,[status(thm)],[c_0_86,def_lhs_atom2]) ).
cnf(c_0_87_0,axiom,
( ~ relation(X1)
| is_connected_in(X1,relation_field(X1))
| ~ connected(X1) ),
inference(unfold_definition,[status(thm)],[c_0_87,def_lhs_atom2]) ).
cnf(c_0_88_0,axiom,
( ~ relation(X1)
| is_antisymmetric_in(X1,relation_field(X1))
| ~ antisymmetric(X1) ),
inference(unfold_definition,[status(thm)],[c_0_88,def_lhs_atom2]) ).
cnf(c_0_89_0,axiom,
( ~ relation(X1)
| reflexive(X1)
| ~ well_ordering(X1) ),
inference(unfold_definition,[status(thm)],[c_0_89,def_lhs_atom2]) ).
cnf(c_0_90_0,axiom,
( ~ relation(X1)
| transitive(X1)
| ~ well_ordering(X1) ),
inference(unfold_definition,[status(thm)],[c_0_90,def_lhs_atom2]) ).
cnf(c_0_91_0,axiom,
( ~ relation(X1)
| antisymmetric(X1)
| ~ well_ordering(X1) ),
inference(unfold_definition,[status(thm)],[c_0_91,def_lhs_atom2]) ).
cnf(c_0_92_0,axiom,
( ~ relation(X1)
| connected(X1)
| ~ well_ordering(X1) ),
inference(unfold_definition,[status(thm)],[c_0_92,def_lhs_atom2]) ).
cnf(c_0_93_0,axiom,
( ~ relation(X1)
| well_founded_relation(X1)
| ~ well_ordering(X1) ),
inference(unfold_definition,[status(thm)],[c_0_93,def_lhs_atom2]) ).
cnf(c_0_94_0,axiom,
set_union2(X2,X1) = set_union2(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_94,def_lhs_atom1]) ).
cnf(c_0_95_0,axiom,
set_union2(X1,X1) = X1,
inference(unfold_definition,[status(thm)],[c_0_95,def_lhs_atom4]) ).
cnf(c_0_96_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_96,def_lhs_atom3]) ).
cnf(c_0_97_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_97,def_lhs_atom3]) ).
cnf(c_0_98_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_98,def_lhs_atom3]) ).
cnf(c_0_99_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_99,def_lhs_atom3]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
! [X1] :
( relation(X1)
=> ( well_orders(X1,relation_field(X1))
<=> well_ordering(X1) ) ),
file('<stdin>',t8_wellord1) ).
fof(c_0_1_002,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( well_orders(X1,relation_field(X1))
<=> well_ordering(X1) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
( relation(esk1_0)
& ( ~ well_orders(esk1_0,relation_field(esk1_0))
| ~ well_ordering(esk1_0) )
& ( well_orders(esk1_0,relation_field(esk1_0))
| well_ordering(esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_004,negated_conjecture,
( ~ well_ordering(esk1_0)
| ~ well_orders(esk1_0,relation_field(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
( well_ordering(esk1_0)
| well_orders(esk1_0,relation_field(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_006,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_007,negated_conjecture,
( ~ well_ordering(esk1_0)
| ~ well_orders(esk1_0,relation_field(esk1_0)) ),
c_0_3,
[final] ).
cnf(c_0_7_008,negated_conjecture,
( well_ordering(esk1_0)
| well_orders(esk1_0,relation_field(esk1_0)) ),
c_0_4,
[final] ).
cnf(c_0_8_009,negated_conjecture,
relation(esk1_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_31,negated_conjecture,
relation(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_8) ).
cnf(c_61,negated_conjecture,
relation(sk3_esk1_0),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_71,negated_conjecture,
relation(sk3_esk1_0),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_72,negated_conjecture,
relation(sk3_esk1_0),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_77,negated_conjecture,
relation(sk3_esk1_0),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_171,negated_conjecture,
relation(sk3_esk1_0),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_23,plain,
( ~ well_orders(X0,X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_76_0) ).
cnf(c_155,plain,
( ~ well_orders(X0,X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_156,plain,
( ~ relation(X0)
| is_connected_in(X0,X1)
| ~ well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_155]) ).
cnf(c_180,plain,
( is_connected_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_156]) ).
cnf(c_215,plain,
( is_connected_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_180]) ).
cnf(c_30,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_7) ).
cnf(c_59,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_70,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_73,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_70]) ).
cnf(c_76,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_73]) ).
cnf(c_169,negated_conjecture,
( well_ordering(sk3_esk1_0)
| well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_311,plain,
( well_ordering(sk3_esk1_0)
| is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_215,c_169]) ).
cnf(c_312,plain,
( well_ordering(sk3_esk1_0)
| is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_311]) ).
cnf(c_18,plain,
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_81_0) ).
cnf(c_145,plain,
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_146,plain,
( ~ relation(X0)
| connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_145]) ).
cnf(c_185,plain,
( connected(sk3_esk1_0)
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_146]) ).
cnf(c_210,plain,
( connected(sk3_esk1_0)
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_185]) ).
cnf(c_323,plain,
( well_ordering(sk3_esk1_0)
| connected(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_312,c_210]) ).
cnf(c_324,plain,
( well_ordering(sk3_esk1_0)
| connected(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_323]) ).
cnf(c_7,plain,
( ~ well_ordering(X0)
| connected(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_92_0) ).
cnf(c_123,plain,
( ~ well_ordering(X0)
| connected(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_124,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| connected(X0) ),
inference(rewriting,[status(thm)],[c_123]) ).
cnf(c_196,plain,
( ~ well_ordering(sk3_esk1_0)
| connected(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_124]) ).
cnf(c_199,plain,
( ~ well_ordering(sk3_esk1_0)
| connected(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_196]) ).
cnf(c_444,plain,
connected(sk3_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_324,c_199]) ).
cnf(c_445,plain,
connected(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_444]) ).
cnf(c_22,plain,
( ~ well_orders(X0,X1)
| is_well_founded_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_77_0) ).
cnf(c_153,plain,
( ~ well_orders(X0,X1)
| is_well_founded_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_154,plain,
( ~ relation(X0)
| is_well_founded_in(X0,X1)
| ~ well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_153]) ).
cnf(c_181,plain,
( is_well_founded_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_154]) ).
cnf(c_214,plain,
( is_well_founded_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_181]) ).
cnf(c_305,plain,
( well_ordering(sk3_esk1_0)
| is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_214,c_169]) ).
cnf(c_306,plain,
( well_ordering(sk3_esk1_0)
| is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_305]) ).
cnf(c_21,plain,
( ~ is_well_founded_in(X0,relation_field(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_78_0) ).
cnf(c_151,plain,
( ~ is_well_founded_in(X0,relation_field(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_152,plain,
( ~ relation(X0)
| well_founded_relation(X0)
| ~ is_well_founded_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_151]) ).
cnf(c_182,plain,
( well_founded_relation(sk3_esk1_0)
| ~ is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_152]) ).
cnf(c_213,plain,
( well_founded_relation(sk3_esk1_0)
| ~ is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_182]) ).
cnf(c_317,plain,
( well_founded_relation(sk3_esk1_0)
| well_ordering(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_306,c_213]) ).
cnf(c_318,plain,
( well_founded_relation(sk3_esk1_0)
| well_ordering(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_317]) ).
cnf(c_6,plain,
( ~ well_ordering(X0)
| well_founded_relation(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_93_0) ).
cnf(c_121,plain,
( ~ well_ordering(X0)
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_122,plain,
( ~ relation(X0)
| well_founded_relation(X0)
| ~ well_ordering(X0) ),
inference(rewriting,[status(thm)],[c_121]) ).
cnf(c_197,plain,
( well_founded_relation(sk3_esk1_0)
| ~ well_ordering(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_122]) ).
cnf(c_198,plain,
( well_founded_relation(sk3_esk1_0)
| ~ well_ordering(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_197]) ).
cnf(c_419,plain,
well_founded_relation(sk3_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_318,c_198]) ).
cnf(c_420,plain,
well_founded_relation(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_419]) ).
cnf(c_27,plain,
( ~ reflexive(X0)
| ~ transitive(X0)
| ~ antisymmetric(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0)
| well_ordering(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_72_0) ).
cnf(c_163,plain,
( ~ reflexive(X0)
| ~ transitive(X0)
| ~ antisymmetric(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0)
| well_ordering(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_164,plain,
( ~ relation(X0)
| ~ well_founded_relation(X0)
| well_ordering(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0) ),
inference(rewriting,[status(thm)],[c_163]) ).
cnf(c_176,plain,
( ~ well_founded_relation(sk3_esk1_0)
| well_ordering(sk3_esk1_0)
| ~ connected(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_164]) ).
cnf(c_219,plain,
( ~ well_founded_relation(sk3_esk1_0)
| well_ordering(sk3_esk1_0)
| ~ connected(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_176]) ).
cnf(c_422,plain,
( well_ordering(sk3_esk1_0)
| ~ connected(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_420,c_219]) ).
cnf(c_425,plain,
( well_ordering(sk3_esk1_0)
| ~ connected(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_422]) ).
cnf(c_447,plain,
( well_ordering(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_445,c_425]) ).
cnf(c_450,plain,
( well_ordering(sk3_esk1_0)
| ~ antisymmetric(sk3_esk1_0)
| ~ transitive(sk3_esk1_0)
| ~ reflexive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_447]) ).
cnf(c_26,plain,
( ~ well_orders(X0,X1)
| is_reflexive_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_73_0) ).
cnf(c_161,plain,
( ~ well_orders(X0,X1)
| is_reflexive_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_26]) ).
cnf(c_162,plain,
( ~ relation(X0)
| is_reflexive_in(X0,X1)
| ~ well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_161]) ).
cnf(c_177,plain,
( is_reflexive_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_162]) ).
cnf(c_218,plain,
( is_reflexive_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_177]) ).
cnf(c_353,plain,
( well_ordering(sk3_esk1_0)
| is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_218,c_169]) ).
cnf(c_354,plain,
( well_ordering(sk3_esk1_0)
| is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_353]) ).
cnf(c_20,plain,
( ~ is_reflexive_in(X0,relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_79_0) ).
cnf(c_149,plain,
( ~ is_reflexive_in(X0,relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_150,plain,
( ~ relation(X0)
| reflexive(X0)
| ~ is_reflexive_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_149]) ).
cnf(c_183,plain,
( reflexive(sk3_esk1_0)
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_150]) ).
cnf(c_212,plain,
( reflexive(sk3_esk1_0)
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_183]) ).
cnf(c_359,plain,
( well_ordering(sk3_esk1_0)
| reflexive(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_354,c_212]) ).
cnf(c_360,plain,
( well_ordering(sk3_esk1_0)
| reflexive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_359]) ).
cnf(c_10,plain,
( ~ well_ordering(X0)
| reflexive(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_89_0) ).
cnf(c_129,plain,
( ~ well_ordering(X0)
| reflexive(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_10]) ).
cnf(c_130,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| reflexive(X0) ),
inference(rewriting,[status(thm)],[c_129]) ).
cnf(c_193,plain,
( ~ well_ordering(sk3_esk1_0)
| reflexive(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_130]) ).
cnf(c_202,plain,
( ~ well_ordering(sk3_esk1_0)
| reflexive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_193]) ).
cnf(c_486,plain,
reflexive(sk3_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_360,c_202]) ).
cnf(c_487,plain,
reflexive(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_486]) ).
cnf(c_25,plain,
( ~ well_orders(X0,X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_74_0) ).
cnf(c_159,plain,
( ~ well_orders(X0,X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_25]) ).
cnf(c_160,plain,
( ~ relation(X0)
| is_transitive_in(X0,X1)
| ~ well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_159]) ).
cnf(c_178,plain,
( is_transitive_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_160]) ).
cnf(c_217,plain,
( is_transitive_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_178]) ).
cnf(c_341,plain,
( well_ordering(sk3_esk1_0)
| is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_217,c_169]) ).
cnf(c_342,plain,
( well_ordering(sk3_esk1_0)
| is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_341]) ).
cnf(c_19,plain,
( ~ is_transitive_in(X0,relation_field(X0))
| transitive(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_80_0) ).
cnf(c_147,plain,
( ~ is_transitive_in(X0,relation_field(X0))
| transitive(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_148,plain,
( ~ relation(X0)
| transitive(X0)
| ~ is_transitive_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_147]) ).
cnf(c_184,plain,
( transitive(sk3_esk1_0)
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_148]) ).
cnf(c_211,plain,
( transitive(sk3_esk1_0)
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_184]) ).
cnf(c_347,plain,
( well_ordering(sk3_esk1_0)
| transitive(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_342,c_211]) ).
cnf(c_348,plain,
( well_ordering(sk3_esk1_0)
| transitive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_347]) ).
cnf(c_9,plain,
( ~ well_ordering(X0)
| transitive(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_90_0) ).
cnf(c_127,plain,
( ~ well_ordering(X0)
| transitive(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_9]) ).
cnf(c_128,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| transitive(X0) ),
inference(rewriting,[status(thm)],[c_127]) ).
cnf(c_194,plain,
( ~ well_ordering(sk3_esk1_0)
| transitive(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_128]) ).
cnf(c_201,plain,
( ~ well_ordering(sk3_esk1_0)
| transitive(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_194]) ).
cnf(c_464,plain,
transitive(sk3_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_348,c_201]) ).
cnf(c_465,plain,
transitive(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_464]) ).
cnf(c_24,plain,
( ~ well_orders(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_75_0) ).
cnf(c_157,plain,
( ~ well_orders(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_158,plain,
( ~ relation(X0)
| is_antisymmetric_in(X0,X1)
| ~ well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_157]) ).
cnf(c_179,plain,
( is_antisymmetric_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_158]) ).
cnf(c_216,plain,
( is_antisymmetric_in(sk3_esk1_0,X0)
| ~ well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_179]) ).
cnf(c_329,plain,
( well_ordering(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_216,c_169]) ).
cnf(c_330,plain,
( well_ordering(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_329]) ).
cnf(c_17,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_82_0) ).
cnf(c_143,plain,
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_144,plain,
( ~ relation(X0)
| antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_143]) ).
cnf(c_186,plain,
( antisymmetric(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_144]) ).
cnf(c_209,plain,
( antisymmetric(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_186]) ).
cnf(c_335,plain,
( well_ordering(sk3_esk1_0)
| antisymmetric(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_330,c_209]) ).
cnf(c_336,plain,
( well_ordering(sk3_esk1_0)
| antisymmetric(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_335]) ).
cnf(c_8,plain,
( ~ well_ordering(X0)
| antisymmetric(X0)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_91_0) ).
cnf(c_125,plain,
( ~ well_ordering(X0)
| antisymmetric(X0)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_8]) ).
cnf(c_126,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| antisymmetric(X0) ),
inference(rewriting,[status(thm)],[c_125]) ).
cnf(c_195,plain,
( ~ well_ordering(sk3_esk1_0)
| antisymmetric(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_171,c_126]) ).
cnf(c_200,plain,
( ~ well_ordering(sk3_esk1_0)
| antisymmetric(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_195]) ).
cnf(c_455,plain,
antisymmetric(sk3_esk1_0),
inference(forward_subsumption_resolution,[status(thm)],[c_336,c_200]) ).
cnf(c_456,plain,
antisymmetric(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_455]) ).
cnf(c_14,plain,
( ~ reflexive(X0)
| is_reflexive_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_85_0) ).
cnf(c_137,plain,
( ~ reflexive(X0)
| is_reflexive_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_14]) ).
cnf(c_138,plain,
( ~ relation(X0)
| ~ reflexive(X0)
| is_reflexive_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_137]) ).
cnf(c_189,plain,
( ~ reflexive(sk3_esk1_0)
| is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_138]) ).
cnf(c_206,plain,
( ~ reflexive(sk3_esk1_0)
| is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_189]) ).
cnf(c_489,plain,
is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(backward_subsumption_resolution,[status(thm)],[c_487,c_206]) ).
cnf(c_490,plain,
is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_489]) ).
cnf(c_15,plain,
( ~ well_founded_relation(X0)
| is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_84_0) ).
cnf(c_139,plain,
( ~ well_founded_relation(X0)
| is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_140,plain,
( ~ relation(X0)
| ~ well_founded_relation(X0)
| is_well_founded_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_139]) ).
cnf(c_188,plain,
( ~ well_founded_relation(sk3_esk1_0)
| is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_140]) ).
cnf(c_207,plain,
( ~ well_founded_relation(sk3_esk1_0)
| is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_188]) ).
cnf(c_423,plain,
is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(backward_subsumption_resolution,[status(thm)],[c_420,c_207]) ).
cnf(c_424,plain,
is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_423]) ).
cnf(c_28,plain,
( ~ is_reflexive_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_well_founded_in(X0,X1)
| well_orders(X0,X1)
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_71_0) ).
cnf(c_165,plain,
( ~ is_reflexive_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_well_founded_in(X0,X1)
| well_orders(X0,X1)
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_28]) ).
cnf(c_166,plain,
( ~ relation(X0)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_reflexive_in(X0,X1)
| ~ is_well_founded_in(X0,X1)
| well_orders(X0,X1) ),
inference(rewriting,[status(thm)],[c_165]) ).
cnf(c_175,plain,
( ~ is_antisymmetric_in(sk3_esk1_0,X0)
| ~ is_connected_in(sk3_esk1_0,X0)
| ~ is_transitive_in(sk3_esk1_0,X0)
| ~ is_reflexive_in(sk3_esk1_0,X0)
| ~ is_well_founded_in(sk3_esk1_0,X0)
| well_orders(sk3_esk1_0,X0) ),
inference(resolution,[status(thm)],[c_171,c_166]) ).
cnf(c_220,plain,
( ~ is_antisymmetric_in(sk3_esk1_0,X0)
| ~ is_connected_in(sk3_esk1_0,X0)
| ~ is_transitive_in(sk3_esk1_0,X0)
| ~ is_reflexive_in(sk3_esk1_0,X0)
| ~ is_well_founded_in(sk3_esk1_0,X0)
| well_orders(sk3_esk1_0,X0) ),
inference(rewriting,[status(thm)],[c_175]) ).
cnf(c_29,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_6) ).
cnf(c_57,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_29]) ).
cnf(c_69,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_74,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_69]) ).
cnf(c_75,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_167,negated_conjecture,
( ~ well_ordering(sk3_esk1_0)
| ~ well_orders(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_389,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_220,c_167]) ).
cnf(c_390,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_well_founded_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_389]) ).
cnf(c_428,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_424,c_390]) ).
cnf(c_429,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0))
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_428]) ).
cnf(c_13,plain,
( ~ transitive(X0)
| is_transitive_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_86_0) ).
cnf(c_135,plain,
( ~ transitive(X0)
| is_transitive_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_13]) ).
cnf(c_136,plain,
( ~ relation(X0)
| ~ transitive(X0)
| is_transitive_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_135]) ).
cnf(c_190,plain,
( ~ transitive(sk3_esk1_0)
| is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_136]) ).
cnf(c_205,plain,
( ~ transitive(sk3_esk1_0)
| is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_190]) ).
cnf(c_467,plain,
is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(backward_subsumption_resolution,[status(thm)],[c_465,c_205]) ).
cnf(c_468,plain,
is_transitive_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_467]) ).
cnf(c_12,plain,
( ~ connected(X0)
| is_connected_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_87_0) ).
cnf(c_133,plain,
( ~ connected(X0)
| is_connected_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_12]) ).
cnf(c_134,plain,
( ~ relation(X0)
| ~ connected(X0)
| is_connected_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_133]) ).
cnf(c_191,plain,
( ~ connected(sk3_esk1_0)
| is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_134]) ).
cnf(c_204,plain,
( ~ connected(sk3_esk1_0)
| is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_191]) ).
cnf(c_448,plain,
is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(backward_subsumption_resolution,[status(thm)],[c_445,c_204]) ).
cnf(c_449,plain,
is_connected_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_448]) ).
cnf(c_11,plain,
( ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p',c_0_88_0) ).
cnf(c_131,plain,
( ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0) ),
inference(copy,[status(esa)],[c_11]) ).
cnf(c_132,plain,
( ~ relation(X0)
| ~ antisymmetric(X0)
| is_antisymmetric_in(X0,relation_field(X0)) ),
inference(rewriting,[status(thm)],[c_131]) ).
cnf(c_192,plain,
( ~ antisymmetric(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_171,c_132]) ).
cnf(c_203,plain,
( ~ antisymmetric(sk3_esk1_0)
| is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_192]) ).
cnf(c_458,plain,
is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(backward_subsumption_resolution,[status(thm)],[c_456,c_203]) ).
cnf(c_459,plain,
is_antisymmetric_in(sk3_esk1_0,relation_field(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_458]) ).
cnf(c_476,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_429,c_468,c_449,c_459]) ).
cnf(c_477,plain,
( ~ well_ordering(sk3_esk1_0)
| ~ is_reflexive_in(sk3_esk1_0,relation_field(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_476]) ).
cnf(c_493,plain,
~ well_ordering(sk3_esk1_0),
inference(backward_subsumption_resolution,[status(thm)],[c_490,c_477]) ).
cnf(c_494,plain,
~ well_ordering(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_493]) ).
cnf(c_515,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_450,c_487,c_465,c_456,c_494]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n014.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 : Mon Jun 20 10:14:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.12/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40 % FOF problem with conjecture
% 0.12/0.40 % 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_7f6cb3.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5fc96e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_d49522 | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.52 % --bmc1_dump_file -
% 0.20/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.52 % --bmc1_ucm_extend_mode 1
% 0.20/0.52 % --bmc1_ucm_init_mode 2
% 0.20/0.52 % --bmc1_ucm_cone_mode none
% 0.20/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.52 % --bmc1_ucm_relax_model 4
% 0.20/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.52 % --bmc1_ucm_layered_model none
% 0.20/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.52
% 0.20/0.52 % ------ AIG Options
% 0.20/0.52
% 0.20/0.52 % --aig_mode false
% 0.20/0.52
% 0.20/0.52 % ------ Instantiation Options
% 0.20/0.52
% 0.20/0.52 % --instantiation_flag true
% 0.20/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.52 % --inst_solver_per_active 750
% 0.20/0.52 % --inst_solver_calls_frac 0.5
% 0.20/0.52 % --inst_passive_queue_type priority_queues
% 0.20/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53 % --inst_passive_queues_freq [25;2]
% 0.20/0.53 % --inst_dismatching true
% 0.20/0.53 % --inst_eager_unprocessed_to_passive true
% 0.20/0.53 % --inst_prop_sim_given true
% 0.20/0.53 % --inst_prop_sim_new false
% 0.20/0.53 % --inst_orphan_elimination true
% 0.20/0.53 % --inst_learning_loop_flag true
% 0.20/0.53 % --inst_learning_start 3000
% 0.20/0.53 % --inst_learning_factor 2
% 0.20/0.53 % --inst_start_prop_sim_after_learn 3
% 0.20/0.53 % --inst_sel_renew solver
% 0.20/0.53 % --inst_lit_activity_flag true
% 0.20/0.53 % --inst_out_proof true
% 0.20/0.53
% 0.20/0.53 % ------ Resolution Options
% 0.20/0.53
% 0.20/0.53 % --resolution_flag true
% 0.20/0.53 % --res_lit_sel kbo_max
% 0.20/0.53 % --res_to_prop_solver none
% 0.20/0.53 % --res_prop_simpl_new false
% 0.20/0.53 % --res_prop_simpl_given false
% 0.20/0.53 % --res_passive_queue_type priority_queues
% 0.20/0.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.53 % --res_passive_queues_freq [15;5]
% 0.20/0.53 % --res_forward_subs full
% 0.20/0.53 % --res_backward_subs full
% 0.20/0.53 % --res_forward_subs_resolution true
% 0.20/0.53 % --res_backward_subs_resolution true
% 0.20/0.53 % --res_orphan_elimination false
% 0.20/0.53 % --res_time_limit 1000.
% 0.20/0.53 % --res_out_proof true
% 0.20/0.53 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7f6cb3.s
% 0.20/0.53 % --modulo true
% 0.20/0.53
% 0.20/0.53 % ------ Combination Options
% 0.20/0.53
% 0.20/0.53 % --comb_res_mult 1000
% 0.20/0.53 % --comb_inst_mult 300
% 0.20/0.53 % ------
% 0.20/0.53
% 0.20/0.53 % ------ Parsing...% successful
% 0.20/0.53
% 0.20/0.53 % ------ 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 %
% 0.20/0.53
% 0.20/0.53 % ------ Proving...
% 0.20/0.53 % ------ Problem Properties
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % EPR false
% 0.20/0.53 % Horn false
% 0.20/0.53 % Has equality true
% 0.20/0.53
% 0.20/0.53 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 Compiling...
% 0.20/0.53 Loading plugin: done.
% 0.20/0.53 % % ------ Current options:
% 0.20/0.53
% 0.20/0.53 % ------ Input Options
% 0.20/0.53
% 0.20/0.53 % --out_options all
% 0.20/0.53 % --tptp_safe_out true
% 0.20/0.53 % --problem_path ""
% 0.20/0.53 % --include_path ""
% 0.20/0.53 % --clausifier .//eprover
% 0.20/0.53 % --clausifier_options --tstp-format
% 0.20/0.53 % --stdin false
% 0.20/0.53 % --dbg_backtrace false
% 0.20/0.53 % --dbg_dump_prop_clauses false
% 0.20/0.53 % --dbg_dump_prop_clauses_file -
% 0.20/0.53 % --dbg_out_stat false
% 0.20/0.53
% 0.20/0.53 % ------ General Options
% 0.20/0.53
% 0.20/0.53 % --fof false
% 0.20/0.53 % --time_out_real 150.
% 0.20/0.53 % --time_out_prep_mult 0.2
% 0.20/0.53 % --time_out_virtual -1.
% 0.20/0.53 % --schedule none
% 0.20/0.53 % --ground_splitting input
% 0.20/0.53 % --splitting_nvd 16
% 0.20/0.53 % --non_eq_to_eq false
% 0.20/0.53 % --prep_gs_sim true
% 0.20/0.53 % --prep_unflatten false
% 0.20/0.53 % --prep_res_sim true
% 0.20/0.53 % --prep_upred true
% 0.20/0.53 % --res_sim_input true
% 0.20/0.53 % --clause_weak_htbl true
% 0.20/0.53 % --gc_record_bc_elim false
% 0.20/0.53 % --symbol_type_check false
% 0.20/0.53 % --clausify_out false
% 0.20/0.53 % --large_theory_mode false
% 0.20/0.53 % --prep_sem_filter none
% 0.20/0.53 % --prep_sem_filter_out false
% 0.20/0.53 % --preprocessed_out false
% 0.20/0.53 % --sub_typing false
% 0.20/0.53 % --brand_transform false
% 0.20/0.53 % --pure_diseq_elim true
% 0.20/0.53 % --min_unsat_core false
% 0.20/0.53 % --pred_elim true
% 0.20/0.53 % --add_important_lit false
% 0.20/0.53 % --soft_assumptions false
% 0.20/0.53 % --reset_solvers false
% 0.20/0.53 % --bc_imp_inh []
% 0.20/0.53 % --conj_cone_tolerance 1.5
% 0.20/0.53 % --prolific_symb_bound 500
% 0.20/0.53 % --lt_threshold 2000
% 0.20/0.53
% 0.20/0.53 % ------ SAT Options
% 0.20/0.53
% 0.20/0.53 % --sat_mode false
% 0.20/0.53 % --sat_fm_restart_options ""
% 0.20/0.53 % --sat_gr_def false
% 0.20/0.53 % --sat_epr_types true
% 0.20/0.53 % --sat_non_cyclic_types false
% 0.20/0.53 % --sat_finite_models false
% 0.20/0.53 % --sat_fm_lemmas false
% 0.20/0.53 % --sat_fm_prep false
% 0.20/0.53 % --sat_fm_uc_incr true
% 0.20/0.53 % --sat_out_model small
% 0.20/0.53 % --sat_out_clauses false
% 0.20/0.53
% 0.20/0.53 % ------ QBF Options
% 0.20/0.53
% 0.20/0.53 % --qbf_mode false
% 0.20/0.53 % --qbf_elim_univ true
% 0.20/0.53 % --qbf_sk_in true
% 0.20/0.53 % --qbf_pred_elim true
% 0.20/0.53 % --qbf_split 32
% 0.20/0.53
% 0.20/0.53 % ------ BMC1 Options
% 0.20/0.53
% 0.20/0.53 % --bmc1_incremental false
% 0.20/0.53 % --bmc1_axioms reachable_all
% 0.20/0.53 % --bmc1_min_bound 0
% 0.20/0.53 % --bmc1_max_bound -1
% 0.20/0.53 % --bmc1_max_bound_default -1
% 0.20/0.53 % --bmc1_symbol_reachability true
% 0.20/0.53 % --bmc1_property_lemmas false
% 0.20/0.53 % --bmc1_k_induction false
% 0.20/0.53 % --bmc1_non_equiv_states false
% 0.20/0.53 % --bmc1_deadlock false
% 0.20/0.53 % --bmc1_ucm false
% 0.20/0.53 % --bmc1_add_unsat_core none
% 0.20/0.53 % --bmc1_unsat_core_children false
% 0.20/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.53 % --bmc1_out_stat full
% 0.20/0.53 % --bmc1_ground_init false
% 0.20/0.53 % --bmc1_pre_inst_next_state false
% 0.20/0.53 % --bmc1_pre_inst_state false
% 0.20/0.53 % --bmc1_pre_inst_reach_state false
% 0.20/0.53 % --bmc1_out_unsat_core false
% 0.20/0.53 % --bmc1_aig_witness_out false
% 0.20/0.53 % --bmc1_verbose false
% 0.20/0.53 % --bmc1_dump_clauses_tptp false
% 0.20/0.53 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.53 % --bmc1_dump_file -
% 0.20/0.53 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.53 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.53 % --bmc1_ucm_extend_mode 1
% 0.20/0.53 % --bmc1_ucm_init_mode 2
% 0.20/0.53 % --bmc1_ucm_cone_mode none
% 0.20/0.53 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.53 % --bmc1_ucm_relax_model 4
% 0.20/0.53 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.53 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.53 % --bmc1_ucm_layered_model none
% 0.20/0.53 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.53
% 0.20/0.53 % ------ AIG Options
% 0.20/0.53
% 0.20/0.53 % --aig_mode false
% 0.20/0.53
% 0.20/0.53 % ------ Instantiation Options
% 0.20/0.53
% 0.20/0.53 % --instantiation_flag true
% 0.20/0.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.53 % --inst_solver_per_active 750
% 0.20/0.53 % --inst_solver_calls_frac 0.5
% 0.20/0.53 % --inst_passive_queue_type priority_queues
% 0.20/0.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.53 % --inst_passive_queues_freq [25;2]
% 0.20/0.53 % --inst_dismatching true
% 0.20/0.53 % --inst_eager_unprocessed_to_passive true
% 0.20/0.54 % --inst_prop_sim_given true
% 0.20/0.54 % --inst_prop_sim_new false
% 0.20/0.54 % --inst_orphan_elimination true
% 0.20/0.54 % --inst_learning_loop_flag true
% 0.20/0.54 % --inst_learning_start 3000
% 0.20/0.54 % --inst_learning_factor 2
% 0.20/0.54 % --inst_start_prop_sim_after_learn 3
% 0.20/0.54 % --inst_sel_renew solver
% 0.20/0.54 % --inst_lit_activity_flag true
% 0.20/0.54 % --inst_out_proof true
% 0.20/0.54
% 0.20/0.54 % ------ Resolution Options
% 0.20/0.54
% 0.20/0.54 % --resolution_flag true
% 0.20/0.54 % --res_lit_sel kbo_max
% 0.20/0.54 % --res_to_prop_solver none
% 0.20/0.54 % --res_prop_simpl_new false
% 0.20/0.54 % --res_prop_simpl_given false
% 0.20/0.54 % --res_passive_queue_type priority_queues
% 0.20/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.54 % --res_passive_queues_freq [15;5]
% 0.20/0.54 % --res_forward_subs full
% 0.20/0.54 % --res_backward_subs full
% 0.20/0.54 % --res_forward_subs_resolution true
% 0.20/0.54 % --res_backward_subs_resolution true
% 0.20/0.54 % --res_orphan_elimination false
% 0.20/0.54 % --res_time_limit 1000.
% 0.20/0.54 % --res_out_proof true
% 0.20/0.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_7f6cb3.s
% 0.20/0.54 % --modulo true
% 0.20/0.54
% 0.20/0.54 % ------ Combination Options
% 0.20/0.54
% 0.20/0.54 % --comb_res_mult 1000
% 0.20/0.54 % --comb_inst_mult 300
% 0.20/0.54 % ------
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % ------ Proving...
% 0.20/0.54 %
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % Resolution empty clause
% 0.20/0.54
% 0.20/0.54 % ------ Statistics
% 0.20/0.54
% 0.20/0.54 % ------ General
% 0.20/0.54
% 0.20/0.54 % num_of_input_clauses: 32
% 0.20/0.54 % num_of_input_neg_conjectures: 3
% 0.20/0.54 % num_of_splits: 0
% 0.20/0.54 % num_of_split_atoms: 0
% 0.20/0.54 % num_of_sem_filtered_clauses: 0
% 0.20/0.54 % num_of_subtypes: 0
% 0.20/0.54 % monotx_restored_types: 0
% 0.20/0.54 % sat_num_of_epr_types: 0
% 0.20/0.54 % sat_num_of_non_cyclic_types: 0
% 0.20/0.54 % sat_guarded_non_collapsed_types: 0
% 0.20/0.54 % is_epr: 0
% 0.20/0.54 % is_horn: 0
% 0.20/0.54 % has_eq: 1
% 0.20/0.54 % num_pure_diseq_elim: 0
% 0.20/0.54 % simp_replaced_by: 0
% 0.20/0.54 % res_preprocessed: 6
% 0.20/0.54 % prep_upred: 0
% 0.20/0.54 % prep_unflattend: 0
% 0.20/0.54 % pred_elim_cands: 0
% 0.20/0.54 % pred_elim: 0
% 0.20/0.54 % pred_elim_cl: 0
% 0.20/0.54 % pred_elim_cycles: 0
% 0.20/0.54 % forced_gc_time: 0
% 0.20/0.54 % gc_basic_clause_elim: 0
% 0.20/0.54 % parsing_time: 0.001
% 0.20/0.54 % sem_filter_time: 0.
% 0.20/0.54 % pred_elim_time: 0.
% 0.20/0.54 % out_proof_time: 0.007
% 0.20/0.54 % monotx_time: 0.
% 0.20/0.54 % subtype_inf_time: 0.
% 0.20/0.54 % unif_index_cands_time: 0.
% 0.20/0.54 % unif_index_add_time: 0.
% 0.20/0.54 % total_time: 0.133
% 0.20/0.54 % num_of_symbols: 43
% 0.20/0.54 % num_of_terms: 118
% 0.20/0.54
% 0.20/0.54 % ------ Propositional Solver
% 0.20/0.54
% 0.20/0.54 % prop_solver_calls: 1
% 0.20/0.54 % prop_fast_solver_calls: 15
% 0.20/0.54 % prop_num_of_clauses: 54
% 0.20/0.54 % prop_preprocess_simplified: 84
% 0.20/0.54 % prop_fo_subsumed: 0
% 0.20/0.54 % prop_solver_time: 0.
% 0.20/0.54 % prop_fast_solver_time: 0.
% 0.20/0.54 % prop_unsat_core_time: 0.
% 0.20/0.54
% 0.20/0.54 % ------ QBF
% 0.20/0.54
% 0.20/0.54 % qbf_q_res: 0
% 0.20/0.54 % qbf_num_tautologies: 0
% 0.20/0.54 % qbf_prep_cycles: 0
% 0.20/0.54
% 0.20/0.54 % ------ BMC1
% 0.20/0.54
% 0.20/0.54 % bmc1_current_bound: -1
% 0.20/0.54 % bmc1_last_solved_bound: -1
% 0.20/0.54 % bmc1_unsat_core_size: -1
% 0.20/0.54 % bmc1_unsat_core_parents_size: -1
% 0.20/0.54 % bmc1_merge_next_fun: 0
% 0.20/0.54 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.54
% 0.20/0.54 % ------ Instantiation
% 0.20/0.54
% 0.20/0.54 % inst_num_of_clauses: 29
% 0.20/0.54 % inst_num_in_passive: 0
% 0.20/0.54 % inst_num_in_active: 0
% 0.20/0.54 % inst_num_in_unprocessed: 32
% 0.20/0.54 % inst_num_of_loops: 0
% 0.20/0.54 % inst_num_of_learning_restarts: 0
% 0.20/0.54 % inst_num_moves_active_passive: 0
% 0.20/0.54 % inst_lit_activity: 0
% 0.20/0.54 % inst_lit_activity_moves: 0
% 0.20/0.54 % inst_num_tautologies: 0
% 0.20/0.54 % inst_num_prop_implied: 0
% 0.20/0.54 % inst_num_existing_simplified: 0
% 0.20/0.54 % inst_num_eq_res_simplified: 0
% 0.20/0.54 % inst_num_child_elim: 0
% 0.20/0.54 % inst_num_of_dismatching_blockings: 0
% 0.20/0.54 % inst_num_of_non_proper_insts: 0
% 0.20/0.54 % inst_num_of_duplicates: 0
% 0.20/0.54 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.54 % inst_dismatching_checking_time: 0.
% 0.20/0.54
% 0.20/0.54 % ------ Resolution
% 0.20/0.54
% 0.20/0.54 % res_num_of_clauses: 71
% 0.20/0.54 % res_num_in_passive: 1
% 0.20/0.54 % res_num_in_active: 45
% 0.20/0.54 % res_num_of_loops: 47
% 0.20/0.54 % res_forward_subset_subsumed: 8
% 0.20/0.54 % res_backward_subset_subsumed: 8
% 0.20/0.54 % res_forward_subsumed: 0
% 0.20/0.54 % res_backward_subsumed: 9
% 0.20/0.54 % res_forward_subsumption_resolution: 12
% 0.20/0.54 % res_backward_subsumption_resolution: 10
% 0.20/0.54 % res_clause_to_clause_subsumption: 31
% 0.20/0.54 % res_orphan_elimination: 0
% 0.20/0.54 % res_tautology_del: 15
% 0.20/0.54 % res_num_eq_res_simplified: 0
% 0.20/0.54 % res_num_sel_changes: 0
% 0.20/0.54 % res_moves_from_active_to_pass: 0
% 0.20/0.54
% 0.20/0.54 % Status Unsatisfiable
% 0.20/0.54 % SZS status Theorem
% 0.20/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------