TSTP Solution File: LAT300+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n023.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 : Sun Jul 17 05:23:06 EDT 2022
% Result : Theorem 1.66s 1.83s
% Output : CNFRefutation 1.66s
% 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] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ m1_subset_1(A,k1_zfmisc_1(B))
| r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| m1_subset_1(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( r1_tarski(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( v1_xboole_0(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
input ).
fof(fc1_xboole_0_0,plain,
( v1_xboole_0(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc1_xboole_0]) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ v1_xboole_0(k1_zfmisc_1(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
input ).
fof(fc1_struct_0_0,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(orientation,[status(thm)],[fc1_struct_0]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_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_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
input ).
fof(dt_l3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(orientation,[status(thm)],[dt_l3_lattices]) ).
fof(dt_l2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l2_lattices_0,plain,
! [A] :
( ~ l2_lattices(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l2_lattices]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l1_lattices_0,plain,
! [A] :
( ~ l1_lattices(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_lattices]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(cc2_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
input ).
fof(cc2_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc2_lattices]) ).
fof(cc1_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
input ).
fof(cc1_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc1_lattices]) ).
fof(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
input ).
fof(cc1_funct_1_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| v1_funct_1(A) ),
inference(orientation,[status(thm)],[cc1_funct_1]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| v1_funct_1(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ l3_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc1_lattices_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom3(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc2_lattices_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom4]) ).
fof(to_be_clausified_5,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> ~ l1_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom5(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_lattices_0,def_lhs_atom5]) ).
fof(to_be_clausified_7,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom6,axiom,
! [A] :
( lhs_atom6(A)
<=> ~ l2_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom6(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l2_lattices_0,def_lhs_atom6]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom3(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(fold_definition,[status(thm)],[dt_l3_lattices_0,def_lhs_atom3]) ).
fof(to_be_clausified_10,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom4]) ).
fof(to_be_clausified_11,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom7(A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom8(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom10(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom11]) ).
fof(to_be_clausified_17,plain,
! [A,B] :
( lhs_atom1(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom12,axiom,
! [B,A] :
( lhs_atom12(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A,B] :
( lhs_atom12(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [B,A] :
( lhs_atom13(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A,B] :
( lhs_atom13(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [B,A] :
( lhs_atom14(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom14(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [C,A] :
( lhs_atom15(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B,C] :
( lhs_atom15(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom15]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom2(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X1,X2] :
( lhs_atom15(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_1,axiom,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom14(X1,X2)
| ~ r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_5,axiom,
! [X2] :
( lhs_atom10(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_6,axiom,
! [X1,X2] :
( lhs_atom13(X1,X2)
| r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_8,axiom,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v10_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) ) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_9,axiom,
! [X2] :
( lhs_atom7(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_10,axiom,
! [X2] :
( lhs_atom3(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom6(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_12,axiom,
! [X2] :
( lhs_atom5(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_funct_1(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom8(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_17,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_18,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_19,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_20,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_21,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_22,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_23,axiom,
! [X3,X1,X2] :
( lhs_atom15(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
c_0_0 ).
fof(c_0_24,plain,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_25,plain,
! [X1,X2] :
( lhs_atom14(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_26,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_27,axiom,
! [X1,X2] :
( lhs_atom12(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
c_0_4 ).
fof(c_0_28,plain,
! [X2] :
( lhs_atom10(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_29,axiom,
! [X1,X2] :
( lhs_atom13(X1,X2)
| r1_tarski(X2,X1) ),
c_0_6 ).
fof(c_0_30,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
c_0_7 ).
fof(c_0_31,plain,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v10_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_32,plain,
! [X2] :
( lhs_atom7(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom3(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
c_0_10 ).
fof(c_0_34,axiom,
! [X2] :
( lhs_atom6(X2)
| l1_struct_0(X2) ),
c_0_11 ).
fof(c_0_35,axiom,
! [X2] :
( lhs_atom5(X2)
| l1_struct_0(X2) ),
c_0_12 ).
fof(c_0_36,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_funct_1(X2) ),
c_0_13 ).
fof(c_0_37,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = k1_xboole_0 ),
c_0_14 ).
fof(c_0_38,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_39,plain,
! [X2] : lhs_atom8(X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_40,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_41,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_42,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_43,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_44,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_45,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_46,plain,
! [X4,X5,X6] :
( lhs_atom15(X4,X6)
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_47,plain,
! [X3] :
( ( ~ v3_struct_0(X3)
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ v5_lattices(X3)
| ~ v6_lattices(X3)
| ~ v7_lattices(X3)
| ~ v8_lattices(X3)
| ~ v9_lattices(X3)
| lhs_atom3(X3) )
& ( v10_lattices(X3)
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ v5_lattices(X3)
| ~ v6_lattices(X3)
| ~ v7_lattices(X3)
| ~ v8_lattices(X3)
| ~ v9_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_48,plain,
! [X3,X4] :
( lhs_atom14(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_49,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_50,plain,
! [X3,X4] :
( lhs_atom12(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_27]) ).
fof(c_0_51,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(X3))
| lhs_atom10(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| lhs_atom10(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_28])])]) ).
fof(c_0_52,plain,
! [X3,X4] :
( lhs_atom13(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_53,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_54,plain,
! [X3] :
( ( ~ v3_struct_0(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v4_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v5_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v6_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v7_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v8_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v9_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_55,plain,
! [X3] :
( lhs_atom7(X3)
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_56,plain,
! [X3] :
( ( l1_lattices(X3)
| lhs_atom3(X3) )
& ( l2_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
fof(c_0_57,plain,
! [X3] :
( lhs_atom6(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_58,plain,
! [X3] :
( lhs_atom5(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_59,plain,
! [X3] :
( lhs_atom2(X3)
| v1_funct_1(X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_60,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_61,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_62,plain,
! [X3] : lhs_atom8(X3),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_63,plain,
lhs_atom9,
c_0_40 ).
fof(c_0_64,plain,
lhs_atom4,
c_0_41 ).
fof(c_0_65,plain,
lhs_atom4,
c_0_42 ).
fof(c_0_66,plain,
lhs_atom4,
c_0_43 ).
fof(c_0_67,plain,
lhs_atom4,
c_0_44 ).
fof(c_0_68,plain,
lhs_atom4,
c_0_45 ).
cnf(c_0_69,plain,
( lhs_atom15(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_70,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_72,plain,
( lhs_atom14(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom12(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75,plain,
( lhs_atom10(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76,plain,
( r1_tarski(X1,X2)
| lhs_atom13(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_77,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_78,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_79,plain,
( lhs_atom10(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_80,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_83,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_84,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_85,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_86,plain,
( v3_struct_0(X1)
| lhs_atom7(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,plain,
( lhs_atom3(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_88,plain,
( lhs_atom3(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_89,plain,
( l1_struct_0(X1)
| lhs_atom6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_90,plain,
( l1_struct_0(X1)
| lhs_atom5(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_91,plain,
( v1_funct_1(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_92,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_93,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_94,plain,
lhs_atom8(X1),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_95,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_96,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_99,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_100,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_101,plain,
( lhs_atom15(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_69,
[final] ).
cnf(c_0_102,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_70,
[final] ).
cnf(c_0_103,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_71,
[final] ).
cnf(c_0_104,plain,
( lhs_atom14(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_72,
[final] ).
cnf(c_0_105,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_73,
[final] ).
cnf(c_0_106,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom12(X2,X1) ),
c_0_74,
[final] ).
cnf(c_0_107,plain,
( lhs_atom10(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
c_0_75,
[final] ).
cnf(c_0_108,plain,
( r1_tarski(X1,X2)
| lhs_atom13(X2,X1) ),
c_0_76,
[final] ).
cnf(c_0_109,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_77,
[final] ).
cnf(c_0_110,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_78,
[final] ).
cnf(c_0_111,plain,
( lhs_atom10(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_79,
[final] ).
cnf(c_0_112,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_80,
[final] ).
cnf(c_0_113,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_81,
[final] ).
cnf(c_0_114,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_82,
[final] ).
cnf(c_0_115,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_83,
[final] ).
cnf(c_0_116,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_84,
[final] ).
cnf(c_0_117,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_85,
[final] ).
cnf(c_0_118,plain,
( v3_struct_0(X1)
| lhs_atom7(X1)
| ~ l1_struct_0(X1) ),
c_0_86,
[final] ).
cnf(c_0_119,plain,
( lhs_atom3(X1)
| l1_lattices(X1) ),
c_0_87,
[final] ).
cnf(c_0_120,plain,
( lhs_atom3(X1)
| l2_lattices(X1) ),
c_0_88,
[final] ).
cnf(c_0_121,plain,
( l1_struct_0(X1)
| lhs_atom6(X1) ),
c_0_89,
[final] ).
cnf(c_0_122,plain,
( l1_struct_0(X1)
| lhs_atom5(X1) ),
c_0_90,
[final] ).
cnf(c_0_123,plain,
( v1_funct_1(X1)
| lhs_atom2(X1) ),
c_0_91,
[final] ).
cnf(c_0_124,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
c_0_92,
[final] ).
cnf(c_0_125,plain,
lhs_atom11(X1),
c_0_93,
[final] ).
cnf(c_0_126,plain,
lhs_atom8(X1),
c_0_94,
[final] ).
cnf(c_0_127,plain,
lhs_atom9,
c_0_95,
[final] ).
cnf(c_0_128,plain,
lhs_atom4,
c_0_96,
[final] ).
cnf(c_0_129,plain,
lhs_atom4,
c_0_97,
[final] ).
cnf(c_0_130,plain,
lhs_atom4,
c_0_98,
[final] ).
cnf(c_0_131,plain,
lhs_atom4,
c_0_99,
[final] ).
cnf(c_0_132,plain,
lhs_atom4,
c_0_100,
[final] ).
% End CNF derivation
cnf(c_0_101_0,axiom,
( m1_subset_1(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_101,def_lhs_atom15]) ).
cnf(c_0_102_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_102,def_lhs_atom3]) ).
cnf(c_0_103_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_103,def_lhs_atom3]) ).
cnf(c_0_104_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_104,def_lhs_atom14]) ).
cnf(c_0_105_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_105,def_lhs_atom1]) ).
cnf(c_0_106_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_106,def_lhs_atom12]) ).
cnf(c_0_107_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_107,def_lhs_atom10]) ).
cnf(c_0_108_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_108,def_lhs_atom13]) ).
cnf(c_0_109_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_109,def_lhs_atom1]) ).
cnf(c_0_110_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom3]) ).
cnf(c_0_111_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_111,def_lhs_atom10]) ).
cnf(c_0_112_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_112,def_lhs_atom3]) ).
cnf(c_0_113_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_113,def_lhs_atom3]) ).
cnf(c_0_114_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_114,def_lhs_atom3]) ).
cnf(c_0_115_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_115,def_lhs_atom3]) ).
cnf(c_0_116_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_116,def_lhs_atom3]) ).
cnf(c_0_117_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom3]) ).
cnf(c_0_118_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom7]) ).
cnf(c_0_119_0,axiom,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom3]) ).
cnf(c_0_120_0,axiom,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom3]) ).
cnf(c_0_121_0,axiom,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom6]) ).
cnf(c_0_122_0,axiom,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom5]) ).
cnf(c_0_123_0,axiom,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom2]) ).
cnf(c_0_124_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom2]) ).
cnf(c_0_125_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom11]) ).
cnf(c_0_126_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom8]) ).
cnf(c_0_127_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom9]) ).
cnf(c_0_128_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom4]) ).
cnf(c_0_129_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom4]) ).
cnf(c_0_130_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom4]) ).
cnf(c_0_131_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom4]) ).
cnf(c_0_132_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom4]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
=> m1_subset_1(X3,u1_struct_0(X1)) ) ),
file('<stdin>',dt_m1_struct_0) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('<stdin>',redefinition_m1_struct_0) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m1_struct_0(X3,X1,X2) ),
file('<stdin>',existence_m1_struct_0) ).
fof(c_0_3_004,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('<stdin>',dt_m2_lattice4) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_5_006,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('<stdin>',dt_m2_filter_2) ).
fof(c_0_6_007,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc5_struct_0) ).
fof(c_0_7_008,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_filter_2(X2,X1) ),
file('<stdin>',existence_m2_filter_2) ).
fof(c_0_8_009,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
file('<stdin>',existence_m2_lattice4) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc1_lattice4) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_11_012,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_12_013,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_14_015,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_15_016,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_16_017,axiom,
? [X1] : l1_lattices(X1),
file('<stdin>',existence_l1_lattices) ).
fof(c_0_17_018,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_18_019,axiom,
? [X1] : l2_lattices(X1),
file('<stdin>',existence_l2_lattices) ).
fof(c_0_19_020,axiom,
? [X1] : l3_lattices(X1),
file('<stdin>',existence_l3_lattices) ).
fof(c_0_20_021,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_21_022,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
=> m1_subset_1(X3,u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_22_023,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m1_struct_0(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_23_024,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m1_struct_0(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_24_025,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_25_026,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_4 ).
fof(c_0_26_027,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_27_028,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_28_029,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_filter_2(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_29_030,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_30_031,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_31_032,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_10 ).
fof(c_0_32_033,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_11 ).
fof(c_0_33_034,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_12 ).
fof(c_0_34_035,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_13 ).
fof(c_0_35_036,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_36_037,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_37_038,axiom,
? [X1] : l1_lattices(X1),
c_0_16 ).
fof(c_0_38_039,axiom,
? [X1] : l1_struct_0(X1),
c_0_17 ).
fof(c_0_39_040,axiom,
? [X1] : l2_lattices(X1),
c_0_18 ).
fof(c_0_40_041,axiom,
? [X1] : l3_lattices(X1),
c_0_19 ).
fof(c_0_41_042,axiom,
? [X1] : v1_xboole_0(X1),
c_0_20 ).
fof(c_0_42_043,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m1_struct_0(X6,X4,X5)
| m1_subset_1(X6,u1_struct_0(X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_43_044,plain,
! [X4,X5,X6,X7] :
( ( ~ m1_struct_0(X6,X4,X5)
| m1_subset_1(X6,X5)
| v3_struct_0(X4)
| ~ l1_struct_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4))) )
& ( ~ m1_subset_1(X7,X5)
| m1_struct_0(X7,X4,X5)
| v3_struct_0(X4)
| ~ l1_struct_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(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_22])])])])]) ).
fof(c_0_44_045,plain,
! [X4,X5] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| m1_struct_0(esk10_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_45_046,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_46_047,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_47_048,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_48_049,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_49_050,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_filter_2(esk8_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_50_051,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_lattice4(esk7_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_51_052,plain,
! [X3] :
( ( m2_lattice4(esk6_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_xboole_0(esk6_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_52_053,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_53_054,plain,
! [X3] :
( m1_subset_1(esk4_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk4_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_54_055,plain,
! [X3] : m1_subset_1(esk9_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
fof(c_0_55_056,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_56_057,plain,
~ v1_xboole_0(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
fof(c_0_57_058,plain,
( l1_struct_0(esk2_0)
& ~ v3_struct_0(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
fof(c_0_58_059,plain,
l1_lattices(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_59_060,plain,
l1_struct_0(esk13_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_60_061,plain,
l2_lattices(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
fof(c_0_61_062,plain,
l3_lattices(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
fof(c_0_62_063,plain,
v1_xboole_0(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
cnf(c_0_63_064,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m1_struct_0(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64_065,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65_066,plain,
( m1_struct_0(esk10_2(X1,X2),X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66_067,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_struct_0(X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_67_068,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68_069,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_69_070,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_70_071,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_71_072,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_72_073,plain,
( m2_filter_2(esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_73_074,plain,
( m2_lattice4(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_74_075,plain,
( v3_struct_0(X1)
| m2_lattice4(esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_75_076,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_76_077,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_77_078,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_78_079,plain,
m1_subset_1(esk4_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_79_080,plain,
m1_subset_1(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_80_081,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81_082,plain,
v1_xboole_0(esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_82_083,plain,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_83_084,plain,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_84_085,plain,
l1_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_85_086,plain,
l1_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_86_087,plain,
l2_lattices(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_87_088,plain,
l3_lattices(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_88_089,plain,
v1_xboole_0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_89_090,plain,
l1_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_90_091,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m1_struct_0(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
c_0_63,
[final] ).
cnf(c_0_91_092,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
c_0_64,
[final] ).
cnf(c_0_92_093,plain,
( m1_struct_0(esk10_2(X1,X2),X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_65,
[final] ).
cnf(c_0_93_094,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_struct_0(X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
c_0_66,
[final] ).
cnf(c_0_94_095,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_67,
[final] ).
cnf(c_0_95_096,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_68,
[final] ).
cnf(c_0_96_097,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
c_0_69,
[final] ).
cnf(c_0_97_098,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_70,
[final] ).
cnf(c_0_98_099,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
c_0_71,
[final] ).
cnf(c_0_99_100,plain,
( m2_filter_2(esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_72,
[final] ).
cnf(c_0_100_101,plain,
( m2_lattice4(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_73,
[final] ).
cnf(c_0_101_102,plain,
( v3_struct_0(X1)
| m2_lattice4(esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_74,
[final] ).
cnf(c_0_102_103,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
c_0_75,
[final] ).
cnf(c_0_103_104,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_76,
[final] ).
cnf(c_0_104_105,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_77,
[final] ).
cnf(c_0_105_106,plain,
m1_subset_1(esk4_1(X1),k1_zfmisc_1(X1)),
c_0_78,
[final] ).
cnf(c_0_106_107,plain,
m1_subset_1(esk9_1(X1),X1),
c_0_79,
[final] ).
cnf(c_0_107_108,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_80,
[final] ).
cnf(c_0_108_109,plain,
v1_xboole_0(esk4_1(X1)),
c_0_81,
[final] ).
cnf(c_0_109_110,plain,
~ v1_xboole_0(esk3_0),
c_0_82,
[final] ).
cnf(c_0_110_111,plain,
~ v3_struct_0(esk2_0),
c_0_83,
[final] ).
cnf(c_0_111_112,plain,
l1_lattices(esk14_0),
c_0_84,
[final] ).
cnf(c_0_112_113,plain,
l1_struct_0(esk13_0),
c_0_85,
[final] ).
cnf(c_0_113_114,plain,
l2_lattices(esk12_0),
c_0_86,
[final] ).
cnf(c_0_114_115,plain,
l3_lattices(esk11_0),
c_0_87,
[final] ).
cnf(c_0_115_116,plain,
v1_xboole_0(esk5_0),
c_0_88,
[final] ).
cnf(c_0_116_117,plain,
l1_struct_0(esk2_0),
c_0_89,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_90_0,axiom,
( m1_subset_1(X1,u1_struct_0(X2))
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m1_struct_0(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( v1_xboole_0(X3)
| m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_struct_0(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_struct_0(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ m1_struct_0(X1,X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_4,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_struct_0(X1,X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_5,axiom,
( ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_struct_0(X1,X2,X3)
| v3_struct_0(X2)
| v1_xboole_0(X3)
| m1_subset_1(X1,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( m1_subset_1(X3,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_subset_1(X3,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X2)
| ~ m1_struct_0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_4,axiom,
( ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_subset_1(X3,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m1_struct_0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_5,axiom,
( ~ m1_struct_0(X3,X2,X1)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_subset_1(X3,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
( m1_struct_0(sk2_esk10_2(X1,X2),X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_1,axiom,
( v1_xboole_0(X2)
| m1_struct_0(sk2_esk10_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_2,axiom,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_struct_0(sk2_esk10_2(X1,X2),X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_3,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_struct_0(sk2_esk10_2(X1,X2),X1,X2)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_92_4,axiom,
( ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_struct_0(sk2_esk10_2(X1,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| m1_struct_0(X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| m1_struct_0(X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( m1_struct_0(X3,X2,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_3,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_struct_0(X3,X2,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_4,axiom,
( ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_struct_0(X3,X2,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_5,axiom,
( ~ m1_subset_1(X3,X1)
| ~ l1_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_struct_0(X3,X2,X1)
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_4,axiom,
( ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_4,axiom,
( ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( m2_filter_2(sk2_esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( v3_struct_0(X1)
| m2_filter_2(sk2_esk8_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(sk2_esk8_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(sk2_esk8_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( m2_lattice4(sk2_esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk7_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk7_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk7_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_1,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_4,axiom,
( ~ v1_xboole_0(sk2_esk6_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_1,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_1,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ v1_xboole_0(sk2_esk1_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_107_1,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_109_1,axiom,
~ v1_xboole_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_1,axiom,
~ v3_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_105_1,axiom,
m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_1,axiom,
m1_subset_1(sk2_esk9_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_108_1,axiom,
v1_xboole_0(sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_111_1,axiom,
l1_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_1,axiom,
l1_struct_0(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_1,axiom,
l2_lattices(sk2_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_1,axiom,
l3_lattices(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_1,axiom,
v1_xboole_0(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_1,axiom,
l1_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_118,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
file('<stdin>',t24_filter_2) ).
fof(c_0_1_119,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& r2_hidden(X3,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_120,negated_conjecture,
! [X6] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( ~ m1_subset_1(X6,u1_struct_0(esk1_0))
| ~ r2_hidden(X6,esk2_0) ) ),
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_121,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_122,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_123,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_124,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_125,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_126,negated_conjecture,
( ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
c_0_3,
[final] ).
cnf(c_0_9_127,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
c_0_4,
[final] ).
cnf(c_0_10_128,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_5,
[final] ).
cnf(c_0_11_129,negated_conjecture,
v10_lattices(esk1_0),
c_0_6,
[final] ).
cnf(c_0_12_130,negated_conjecture,
l3_lattices(esk1_0),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_110,plain,
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_101_0) ).
cnf(c_301,plain,
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2) ),
inference(copy,[status(esa)],[c_110]) ).
cnf(c_4062,plain,
( m1_subset_1(sk2_esk9_1(X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(sk2_esk9_1(X0),X0) ),
inference(instantiation,[status(thm)],[c_301]) ).
cnf(c_8169,plain,
( m1_subset_1(sk2_esk9_1(sk3_esk2_0),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ r2_hidden(sk2_esk9_1(sk3_esk2_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_4062]) ).
cnf(c_71,plain,
m1_subset_1(sk2_esk9_1(X0),X0),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_106_1) ).
cnf(c_262,plain,
m1_subset_1(sk2_esk9_1(X0),X0),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_4630,plain,
m1_subset_1(sk2_esk9_1(sk3_esk2_0),sk3_esk2_0),
inference(instantiation,[status(thm)],[c_262]) ).
cnf(c_42,plain,
( ~ v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_98_3) ).
cnf(c_233,plain,
( ~ v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(copy,[status(esa)],[c_42]) ).
cnf(c_4278,plain,
( ~ v1_xboole_0(sk3_esk2_0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(sk3_esk2_0,X0) ),
inference(instantiation,[status(thm)],[c_233]) ).
cnf(c_4285,plain,
( ~ v1_xboole_0(sk3_esk2_0)
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m2_filter_2(sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_4278]) ).
cnf(c_111,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_8) ).
cnf(c_156,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_111]) ).
cnf(c_176,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_156]) ).
cnf(c_185,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_176]) ).
cnf(c_186,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_185]) ).
cnf(c_302,negated_conjecture,
( ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(X0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_186]) ).
cnf(c_4067,plain,
( ~ m1_subset_1(sk2_esk9_1(sk3_esk2_0),u1_struct_0(sk3_esk1_0))
| ~ r2_hidden(sk2_esk9_1(sk3_esk2_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_302]) ).
cnf(c_105,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_106_0) ).
cnf(c_296,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(copy,[status(esa)],[c_105]) ).
cnf(c_3648,plain,
( ~ m1_subset_1(sk2_esk9_1(X0),X0)
| v1_xboole_0(X0)
| r2_hidden(sk2_esk9_1(X0),X0) ),
inference(instantiation,[status(thm)],[c_296]) ).
cnf(c_4066,plain,
( ~ m1_subset_1(sk2_esk9_1(sk3_esk2_0),sk3_esk2_0)
| v1_xboole_0(sk3_esk2_0)
| r2_hidden(sk2_esk9_1(sk3_esk2_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_3648]) ).
cnf(c_27,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_94_4) ).
cnf(c_218,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(copy,[status(esa)],[c_27]) ).
cnf(c_3859,plain,
( m1_subset_1(sk3_esk2_0,k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| v3_struct_0(sk3_esk1_0)
| ~ m2_lattice4(sk3_esk2_0,sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_31,plain,
( ~ m2_filter_2(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_96_0) ).
cnf(c_222,plain,
( ~ m2_filter_2(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_3667,plain,
( v3_struct_0(sk3_esk1_0)
| m2_lattice4(sk3_esk2_0,sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m2_filter_2(sk3_esk2_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_112,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_10) ).
cnf(c_113,negated_conjecture,
m2_filter_2(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_9) ).
cnf(c_114,negated_conjecture,
v10_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_11) ).
cnf(c_115,negated_conjecture,
l3_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_6466e0.p',c_0_12) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_8169,c_4630,c_4285,c_4067,c_4066,c_3859,c_3667,c_112,c_113,c_114,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 14:44:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41 % FOF problem with conjecture
% 0.19/0.41 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd6c13.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_6466e0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_32afd7 | grep -v "SZS"
% 0.19/0.43
% 0.19/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ iProver source info
% 0.19/0.43
% 0.19/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43 % git: non_committed_changes: true
% 0.19/0.43 % git: last_make_outside_of_git: true
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.45 % --bmc1_dump_file -
% 0.19/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.45 % --bmc1_ucm_extend_mode 1
% 0.19/0.45 % --bmc1_ucm_init_mode 2
% 0.19/0.45 % --bmc1_ucm_cone_mode none
% 0.19/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.45 % --bmc1_ucm_relax_model 4
% 0.19/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.45 % --bmc1_ucm_layered_model none
% 0.19/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.45
% 0.19/0.45 % ------ AIG Options
% 0.19/0.45
% 0.19/0.45 % --aig_mode false
% 0.19/0.45
% 0.19/0.45 % ------ Instantiation Options
% 0.19/0.45
% 0.19/0.45 % --instantiation_flag true
% 0.19/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45 % --inst_solver_per_active 750
% 0.19/0.45 % --inst_solver_calls_frac 0.5
% 0.19/0.45 % --inst_passive_queue_type priority_queues
% 0.19/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45 % --inst_passive_queues_freq [25;2]
% 0.19/0.45 % --inst_dismatching true
% 0.19/0.45 % --inst_eager_unprocessed_to_passive true
% 0.19/0.45 % --inst_prop_sim_given true
% 0.19/0.45 % --inst_prop_sim_new false
% 0.19/0.45 % --inst_orphan_elimination true
% 0.19/0.45 % --inst_learning_loop_flag true
% 0.19/0.45 % --inst_learning_start 3000
% 0.19/0.45 % --inst_learning_factor 2
% 0.19/0.45 % --inst_start_prop_sim_after_learn 3
% 0.19/0.45 % --inst_sel_renew solver
% 0.19/0.45 % --inst_lit_activity_flag true
% 0.19/0.45 % --inst_out_proof true
% 0.19/0.45
% 0.19/0.45 % ------ Resolution Options
% 0.19/0.45
% 0.19/0.45 % --resolution_flag true
% 0.19/0.45 % --res_lit_sel kbo_max
% 0.19/0.45 % --res_to_prop_solver none
% 0.19/0.45 % --res_prop_simpl_new false
% 0.19/0.45 % --res_prop_simpl_given false
% 0.19/0.45 % --res_passive_queue_type priority_queues
% 0.19/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.45 % --res_passive_queues_freq [15;5]
% 0.19/0.45 % --res_forward_subs full
% 0.19/0.45 % --res_backward_subs full
% 0.19/0.45 % --res_forward_subs_resolution true
% 0.19/0.45 % --res_backward_subs_resolution true
% 0.19/0.45 % --res_orphan_elimination false
% 0.19/0.45 % --res_time_limit 1000.
% 0.19/0.45 % --res_out_proof true
% 0.19/0.45 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd6c13.s
% 0.19/0.45 % --modulo true
% 0.19/0.45
% 0.19/0.45 % ------ Combination Options
% 0.19/0.45
% 0.19/0.45 % --comb_res_mult 1000
% 0.19/0.45 % --comb_inst_mult 300
% 0.19/0.45 % ------
% 0.19/0.45
% 0.19/0.45 % ------ Parsing...% successful
% 0.19/0.45
% 0.19/0.45 % ------ 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 %
% 0.19/0.45
% 0.19/0.45 % ------ Proving...
% 0.19/0.45 % ------ Problem Properties
% 0.19/0.45
% 0.19/0.45 %
% 0.19/0.45 % EPR false
% 0.19/0.45 % Horn false
% 0.19/0.45 % Has equality true
% 0.19/0.45
% 0.19/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % % ------ Current options:
% 0.19/0.45
% 0.19/0.45 % ------ Input Options
% 0.19/0.45
% 0.19/0.45 % --out_options all
% 0.19/0.45 % --tptp_safe_out true
% 0.19/0.45 % --problem_path ""
% 0.19/0.45 % --include_path ""
% 0.19/0.45 % --clausifier .//eprover
% 0.19/0.45 % --clausifier_options --tstp-format
% 0.19/0.45 % --stdin false
% 0.19/0.45 % --dbg_backtrace false
% 0.19/0.45 % --dbg_dump_prop_clauses false
% 0.19/0.45 % --dbg_dump_prop_clauses_file -
% 0.19/0.45 % --dbg_out_stat false
% 0.19/0.45
% 0.19/0.45 % ------ General Options
% 0.19/0.45
% 0.19/0.45 % --fof false
% 0.19/0.45 % --time_out_real 150.
% 0.19/0.45 % --time_out_prep_mult 0.2
% 0.19/0.45 % --time_out_virtual -1.
% 0.19/0.45 % --schedule none
% 0.19/0.45 % --ground_splitting input
% 0.19/0.45 % --splitting_nvd 16
% 0.19/0.45 % --non_eq_to_eq false
% 0.19/0.45 % --prep_gs_sim true
% 0.19/0.45 % --prep_unflatten false
% 0.19/0.45 % --prep_res_sim true
% 0.19/0.45 % --prep_upred true
% 0.19/0.45 % --res_sim_input true
% 0.19/0.45 % --clause_weak_htbl true
% 0.19/0.45 % --gc_record_bc_elim false
% 0.19/0.45 % --symbol_type_check false
% 0.19/0.45 % --clausify_out false
% 0.19/0.45 % --large_theory_mode false
% 0.19/0.45 % --prep_sem_filter none
% 0.19/0.45 % --prep_sem_filter_out false
% 0.19/0.45 % --preprocessed_out false
% 0.19/0.45 % --sub_typing false
% 0.19/0.45 % --brand_transform false
% 0.19/0.45 % --pure_diseq_elim true
% 0.19/0.45 % --min_unsat_core false
% 0.19/0.45 % --pred_elim true
% 0.19/0.45 % --add_important_lit false
% 0.19/0.45 % --soft_assumptions false
% 0.19/0.45 % --reset_solvers false
% 0.19/0.45 % --bc_imp_inh []
% 0.19/0.45 % --conj_cone_tolerance 1.5
% 0.19/0.45 % --prolific_symb_bound 500
% 0.19/0.45 % --lt_threshold 2000
% 0.19/0.45
% 0.19/0.45 % ------ SAT Options
% 0.19/0.45
% 0.19/0.45 % --sat_mode false
% 0.19/0.45 % --sat_fm_restart_options ""
% 0.19/0.45 % --sat_gr_def false
% 0.19/0.45 % --sat_epr_types true
% 0.19/0.45 % --sat_non_cyclic_types false
% 0.19/0.45 % --sat_finite_models false
% 0.19/0.45 % --sat_fm_lemmas false
% 0.19/0.45 % --sat_fm_prep false
% 0.19/0.45 % --sat_fm_uc_incr true
% 0.19/0.45 % --sat_out_model small
% 0.19/0.45 % --sat_out_clauses false
% 0.19/0.45
% 0.19/0.45 % ------ QBF Options
% 0.19/0.45
% 0.19/0.45 % --qbf_mode false
% 0.19/0.45 % --qbf_elim_univ true
% 0.19/0.45 % --qbf_sk_in true
% 0.19/0.45 % --qbf_pred_elim true
% 0.19/0.45 % --qbf_split 32
% 0.19/0.45
% 0.19/0.45 % ------ BMC1 Options
% 0.19/0.45
% 0.19/0.45 % --bmc1_incremental false
% 0.19/0.45 % --bmc1_axioms reachable_all
% 0.19/0.45 % --bmc1_min_bound 0
% 0.19/0.45 % --bmc1_max_bound -1
% 0.19/0.45 % --bmc1_max_bound_default -1
% 0.19/0.45 % --bmc1_symbol_reachability true
% 0.19/0.45 % --bmc1_property_lemmas false
% 0.19/0.45 % --bmc1_k_induction false
% 0.19/0.45 % --bmc1_non_equiv_states false
% 0.19/0.45 % --bmc1_deadlock false
% 0.19/0.45 % --bmc1_ucm false
% 0.19/0.45 % --bmc1_add_unsat_core none
% 0.19/0.45 % --bmc1_unsat_core_children false
% 0.19/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.45 % --bmc1_out_stat full
% 0.19/0.45 % --bmc1_ground_init false
% 0.19/0.45 % --bmc1_pre_inst_next_state false
% 0.19/0.45 % --bmc1_pre_inst_state false
% 0.19/0.45 % --bmc1_pre_inst_reach_state false
% 0.19/0.45 % --bmc1_out_unsat_core false
% 0.19/0.45 % --bmc1_aig_witness_out false
% 0.19/0.45 % --bmc1_verbose false
% 0.19/0.45 % --bmc1_dump_clauses_tptp false
% 0.19/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.45 % --bmc1_dump_file -
% 0.19/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.45 % --bmc1_ucm_extend_mode 1
% 0.19/0.45 % --bmc1_ucm_init_mode 2
% 0.19/0.45 % --bmc1_ucm_cone_mode none
% 0.19/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.45 % --bmc1_ucm_relax_model 4
% 0.19/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.45 % --bmc1_ucm_layered_model none
% 0.19/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.45
% 0.19/0.45 % ------ AIG Options
% 0.19/0.45
% 0.19/0.45 % --aig_mode false
% 0.19/0.45
% 0.19/0.45 % ------ Instantiation Options
% 0.19/0.45
% 0.19/0.45 % --instantiation_flag true
% 0.19/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.45 % --inst_solver_per_active 750
% 0.19/0.45 % --inst_solver_calls_frac 0.5
% 0.19/0.45 % --inst_passive_queue_type priority_queues
% 0.19/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.45 % --inst_passive_queues_freq [25;2]
% 0.19/0.45 % --inst_dismatching true
% 0.19/0.45 % --inst_eager_unprocessed_to_passive true
% 0.19/0.45 % --inst_prop_sim_given true
% 1.65/1.83 % --inst_prop_sim_new false
% 1.65/1.83 % --inst_orphan_elimination true
% 1.65/1.83 % --inst_learning_loop_flag true
% 1.65/1.83 % --inst_learning_start 3000
% 1.65/1.83 % --inst_learning_factor 2
% 1.65/1.83 % --inst_start_prop_sim_after_learn 3
% 1.65/1.83 % --inst_sel_renew solver
% 1.65/1.83 % --inst_lit_activity_flag true
% 1.65/1.83 % --inst_out_proof true
% 1.65/1.83
% 1.65/1.83 % ------ Resolution Options
% 1.65/1.83
% 1.65/1.83 % --resolution_flag true
% 1.65/1.83 % --res_lit_sel kbo_max
% 1.65/1.83 % --res_to_prop_solver none
% 1.65/1.83 % --res_prop_simpl_new false
% 1.65/1.83 % --res_prop_simpl_given false
% 1.65/1.83 % --res_passive_queue_type priority_queues
% 1.65/1.83 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.65/1.83 % --res_passive_queues_freq [15;5]
% 1.65/1.83 % --res_forward_subs full
% 1.65/1.83 % --res_backward_subs full
% 1.65/1.83 % --res_forward_subs_resolution true
% 1.65/1.83 % --res_backward_subs_resolution true
% 1.65/1.83 % --res_orphan_elimination false
% 1.65/1.83 % --res_time_limit 1000.
% 1.65/1.83 % --res_out_proof true
% 1.65/1.83 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_bd6c13.s
% 1.65/1.83 % --modulo true
% 1.65/1.83
% 1.65/1.83 % ------ Combination Options
% 1.65/1.83
% 1.65/1.83 % --comb_res_mult 1000
% 1.65/1.83 % --comb_inst_mult 300
% 1.65/1.83 % ------
% 1.65/1.83
% 1.65/1.83
% 1.65/1.83
% 1.65/1.83 % ------ Proving...
% 1.65/1.83 %
% 1.65/1.83
% 1.65/1.83
% 1.65/1.83 % ------ Statistics
% 1.65/1.83
% 1.65/1.83 % ------ General
% 1.65/1.83
% 1.65/1.83 % num_of_input_clauses: 116
% 1.65/1.83 % num_of_input_neg_conjectures: 5
% 1.65/1.83 % num_of_splits: 0
% 1.65/1.83 % num_of_split_atoms: 0
% 1.65/1.83 % num_of_sem_filtered_clauses: 0
% 1.65/1.83 % num_of_subtypes: 0
% 1.65/1.83 % monotx_restored_types: 0
% 1.65/1.83 % sat_num_of_epr_types: 0
% 1.65/1.83 % sat_num_of_non_cyclic_types: 0
% 1.65/1.83 % sat_guarded_non_collapsed_types: 0
% 1.65/1.83 % is_epr: 0
% 1.65/1.83 % is_horn: 0
% 1.65/1.83 % has_eq: 1
% 1.65/1.83 % num_pure_diseq_elim: 0
% 1.65/1.83 % simp_replaced_by: 0
% 1.65/1.83 % res_preprocessed: 10
% 1.65/1.83 % prep_upred: 0
% 1.65/1.83 % prep_unflattend: 0
% 1.65/1.83 % pred_elim_cands: 0
% 1.65/1.83 % pred_elim: 0
% 1.65/1.83 % pred_elim_cl: 0
% 1.65/1.83 % pred_elim_cycles: 0
% 1.65/1.83 % forced_gc_time: 0
% 1.65/1.83 % gc_basic_clause_elim: 0
% 1.65/1.83 % parsing_time: 0.004
% 1.65/1.83 % sem_filter_time: 0.
% 1.65/1.83 % pred_elim_time: 0.
% 1.65/1.83 % out_proof_time: 0.
% 1.65/1.83 % monotx_time: 0.
% 1.65/1.83 % subtype_inf_time: 0.
% 1.65/1.83 % unif_index_cands_time: 0.002
% 1.65/1.83 % unif_index_add_time: 0.009
% 1.65/1.83 % total_time: 1.411
% 1.65/1.83 % num_of_symbols: 65
% 1.65/1.83 % num_of_terms: 9454
% 1.65/1.83
% 1.65/1.83 % ------ Propositional Solver
% 1.65/1.83
% 1.65/1.83 % prop_solver_calls: 7
% 1.65/1.83 % prop_fast_solver_calls: 18
% 1.65/1.83 % prop_num_of_clauses: 846
% 1.65/1.83 % prop_preprocess_simplified: 1638
% 1.65/1.83 % prop_fo_subsumed: 0
% 1.65/1.83 % prop_solver_time: 0.
% 1.65/1.83 % prop_fast_solver_time: 0.
% 1.65/1.83 % prop_unsat_core_time: 0.
% 1.65/1.83
% 1.65/1.83 % ------ QBF
% 1.65/1.83
% 1.65/1.83 % qbf_q_res: 0
% 1.65/1.83 % qbf_num_tautologies: 0
% 1.65/1.83 % qbf_prep_cycles: 0
% 1.65/1.83
% 1.65/1.83 % ------ BMC1
% 1.65/1.83
% 1.65/1.83 % bmc1_current_bound: -1
% 1.65/1.83 % bmc1_last_solved_bound: -1
% 1.65/1.83 % bmc1_unsat_core_size: -1
% 1.65/1.83 % bmc1_unsat_core_parents_size: -1
% 1.65/1.83 % bmc1_merge_next_fun: 0
% 1.65/1.83 % bmc1_unsat_core_clauses_time: 0.
% 1.65/1.83
% 1.65/1.83 % ------ Instantiation
% 1.65/1.83
% 1.65/1.83 % inst_num_of_clauses: 612
% 1.65/1.83 % inst_num_in_passive: 224
% 1.65/1.83 % inst_num_in_active: 379
% 1.65/1.83 % inst_num_in_unprocessed: 5
% 1.65/1.83 % inst_num_of_loops: 416
% 1.65/1.83 % inst_num_of_learning_restarts: 0
% 1.66/1.83 % inst_num_moves_active_passive: 32
% 1.66/1.83 % inst_lit_activity: 150
% 1.66/1.83 % inst_lit_activity_moves: 0
% 1.66/1.83 % inst_num_tautologies: 2
% 1.66/1.83 % inst_num_prop_implied: 0
% 1.66/1.83 % inst_num_existing_simplified: 0
% 1.66/1.83 % inst_num_eq_res_simplified: 0
% 1.66/1.83 % inst_num_child_elim: 0
% 1.66/1.83 % inst_num_of_dismatching_blockings: 216
% 1.66/1.83 % inst_num_of_non_proper_insts: 745
% 1.66/1.83 % inst_num_of_duplicates: 472
% 1.66/1.83 % inst_inst_num_from_inst_to_res: 0
% 1.66/1.83 % inst_dismatching_checking_time: 0.
% 1.66/1.83
% 1.66/1.83 % ------ Resolution
% 1.66/1.83
% 1.66/1.83 % res_num_of_clauses: 1162
% 1.66/1.83 % res_num_in_passive: 24
% 1.66/1.83 % res_num_in_active: 1060
% 1.66/1.83 % res_num_of_loops: 2000
% 1.66/1.83 % res_forward_subset_subsumed: 58
% 1.66/1.83 % res_backward_subset_subsumed: 3
% 1.66/1.83 % res_forward_subsumed: 991
% 1.66/1.83 % res_backward_subsumed: 0
% 1.66/1.83 % res_forward_subsumption_resolution: 22
% 1.66/1.83 % res_backward_subsumption_resolution: 2
% 1.66/1.83 % res_clause_to_clause_subsumption: 1349
% 1.66/1.83 % res_orphan_elimination: 0
% 1.66/1.83 % res_tautology_del: 2
% 1.66/1.83 % res_num_eq_res_simplified: 0
% 1.66/1.83 % res_num_sel_changes: 0
% 1.66/1.83 % res_moves_from_active_to_pass: 0
% 1.66/1.83
% 1.66/1.83 % Status Unsatisfiable
% 1.66/1.83 % SZS status Theorem
% 1.66/1.83 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------