%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n032.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 11:22:59 EDT 2022
% Result : Theorem 44.89s 45.16s
% Output : CNFRefutation 44.89s
% 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(redefinition_k5_setfam_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> k5_setfam_1(A,B) = k3_tarski(B) ),
input ).
fof(redefinition_k5_setfam_1_0,plain,
! [A,B] :
( ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
| k5_setfam_1(A,B) = k3_tarski(B) ),
inference(orientation,[status(thm)],[redefinition_k5_setfam_1]) ).
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(fc4_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
input ).
fof(fc4_relat_1_0,plain,
( v1_xboole_0(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
fof(fc4_relat_1_1,plain,
( v1_relat_1(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc4_relat_1]) ).
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(fc12_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0) ),
input ).
fof(fc12_relat_1_0,plain,
( v1_xboole_0(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_1,plain,
( v1_relat_1(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(fc12_relat_1_2,plain,
( v3_relat_1(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc12_relat_1]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_k5_setfam_1,axiom,
! [A,B] :
( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
=> m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ),
input ).
fof(dt_k5_setfam_1_0,plain,
! [A,B] :
( ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
| m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ),
inference(orientation,[status(thm)],[dt_k5_setfam_1]) ).
fof(dt_k3_tarski,axiom,
$true,
input ).
fof(dt_k3_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k3_tarski]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(d4_tarski,axiom,
! [A,B] :
( B = k3_tarski(A)
<=> ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(C,D)
& r2_hidden(D,A) ) ) ),
input ).
fof(d4_tarski_0,plain,
! [A,B] :
( B = k3_tarski(A)
| ~ ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(C,D)
& r2_hidden(D,A) ) ) ),
inference(orientation,[status(thm)],[d4_tarski]) ).
fof(d4_tarski_1,plain,
! [A,B] :
( B != k3_tarski(A)
| ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(C,D)
& r2_hidden(D,A) ) ) ),
inference(orientation,[status(thm)],[d4_tarski]) ).
fof(d1_xboole_0,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
input ).
fof(d1_xboole_0_0,plain,
! [A] :
( A = k1_xboole_0
| ~ ! [B] : ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[d1_xboole_0]) ).
fof(d1_xboole_0_1,plain,
! [A] :
( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[d1_xboole_0]) ).
fof(cc1_relat_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_relat_1(A) ),
input ).
fof(cc1_relat_1_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| v1_relat_1(A) ),
inference(orientation,[status(thm)],[cc1_relat_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_relat_1(A) ),
inference(fold_definition,[status(thm)],[cc1_relat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> A != k1_xboole_0 ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| ! [B] : ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[d1_xboole_0_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> A = k1_xboole_0 ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom4(A)
| ~ ! [B] : ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[d1_xboole_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [B,A] :
( lhs_atom5(B,A)
<=> B != k3_tarski(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A,B] :
( lhs_atom5(B,A)
| ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(C,D)
& r2_hidden(D,A) ) ) ),
inference(fold_definition,[status(thm)],[d4_tarski_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [B,A] :
( lhs_atom6(B,A)
<=> B = k3_tarski(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [A,B] :
( lhs_atom6(B,A)
| ~ ! [C] :
( r2_hidden(C,B)
<=> ? [D] :
( r2_hidden(C,D)
& r2_hidden(D,A) ) ) ),
inference(fold_definition,[status(thm)],[d4_tarski_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
( lhs_atom7
<=> $true ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom7]) ).
fof(to_be_clausified_7,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom7]) ).
fof(to_be_clausified_8,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_k3_tarski_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [B,A] :
( lhs_atom8(B,A)
<=> ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_9,plain,
! [A,B] :
( lhs_atom8(B,A)
| m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ),
inference(fold_definition,[status(thm)],[dt_k5_setfam_1_0,def_lhs_atom8]) ).
fof(to_be_clausified_10,plain,
( lhs_atom7
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom7]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> v3_relat_1(k1_xboole_0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_11,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_2,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
( lhs_atom10
<=> v1_relat_1(k1_xboole_0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_12,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_1,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_13,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[fc12_relat_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_14,plain,
! [A] :
( lhs_atom12(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom12]) ).
fof(to_be_clausified_15,plain,
( lhs_atom10
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_1,def_lhs_atom10]) ).
fof(to_be_clausified_16,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[fc4_relat_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> v1_xboole_0(A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [A] :
( lhs_atom13(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_atom13]) ).
fof(to_be_clausified_18,plain,
! [A,B] :
( lhs_atom8(B,A)
| k5_setfam_1(A,B) = k3_tarski(B) ),
inference(fold_definition,[status(thm)],[redefinition_k5_setfam_1_0,def_lhs_atom8]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> r1_tarski(A,A) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [A] :
( lhs_atom14(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom14]) ).
fof(to_be_clausified_20,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_atom15,axiom,
! [B,A] :
( lhs_atom15(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
! [A,B] :
( lhs_atom15(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [B,A] :
( lhs_atom16(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [A,B] :
( lhs_atom16(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom17(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [C,A] :
( lhs_atom18(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [A,B,C] :
( lhs_atom18(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom18]) ).
fof(to_be_clausified_25,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,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(X3,X4)
& r2_hidden(X4,X2) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_1,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(X3,X4)
& r2_hidden(X4,X2) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_2,axiom,
! [X3,X1,X2] :
( lhs_atom18(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| m1_subset_1(k5_setfam_1(X2,X1),k1_zfmisc_1(X2)) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_6,axiom,
! [X1,X2] :
( lhs_atom15(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| k5_setfam_1(X2,X1) = k3_tarski(X1) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_8,axiom,
! [X2] :
( lhs_atom13(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_10,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom3(X2)
| ! [X1] : ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_12,axiom,
! [X2] :
( lhs_atom4(X2)
| ~ ! [X1] : ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_relat_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_25) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom12(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_17,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_18,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_19,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_20,axiom,
( lhs_atom10
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_21,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_22,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_23,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_24,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_25,axiom,
( lhs_atom7
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_26,axiom,
! [X1,X2] :
( lhs_atom6(X1,X2)
| ~ ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(X3,X4)
& r2_hidden(X4,X2) ) ) ),
c_0_0 ).
fof(c_0_27,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ! [X3] :
( r2_hidden(X3,X1)
<=> ? [X4] :
( r2_hidden(X3,X4)
& r2_hidden(X4,X2) ) ) ),
c_0_1 ).
fof(c_0_28,axiom,
! [X3,X1,X2] :
( lhs_atom18(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
c_0_2 ).
fof(c_0_29,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| m1_subset_1(k5_setfam_1(X2,X1),k1_zfmisc_1(X2)) ),
c_0_3 ).
fof(c_0_30,plain,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_31,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_32,axiom,
! [X1,X2] :
( lhs_atom15(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
c_0_6 ).
fof(c_0_33,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| k5_setfam_1(X2,X1) = k3_tarski(X1) ),
c_0_7 ).
fof(c_0_34,plain,
! [X2] :
( lhs_atom13(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_35,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| r1_tarski(X2,X1) ),
c_0_9 ).
fof(c_0_36,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
c_0_10 ).
fof(c_0_37,plain,
! [X2] :
( lhs_atom3(X2)
| ! [X1] : ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_38,plain,
! [X2] :
( lhs_atom4(X2)
| ~ ! [X1] : ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_relat_1(X2) ),
c_0_13 ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = k1_xboole_0 ),
c_0_14 ).
fof(c_0_41,plain,
! [X2] : lhs_atom14(X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_42,plain,
! [X2] : lhs_atom12(X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_43,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_44,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_45,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_46,plain,
lhs_atom10,
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_47,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_48,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_49,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_50,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_51,plain,
lhs_atom7,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_52,plain,
! [X5,X6,X8] :
( ( ~ r2_hidden(esk3_2(X5,X6),X5)
| ~ r2_hidden(esk3_2(X5,X6),X8)
| ~ r2_hidden(X8,X6)
| lhs_atom6(X5,X6) )
& ( r2_hidden(esk3_2(X5,X6),esk4_2(X5,X6))
| r2_hidden(esk3_2(X5,X6),X5)
| lhs_atom6(X5,X6) )
& ( r2_hidden(esk4_2(X5,X6),X6)
| r2_hidden(esk3_2(X5,X6),X5)
| lhs_atom6(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_53,plain,
! [X5,X6,X7,X9,X10] :
( ( r2_hidden(X7,esk2_3(X5,X6,X7))
| ~ r2_hidden(X7,X5)
| lhs_atom5(X5,X6) )
& ( r2_hidden(esk2_3(X5,X6,X7),X6)
| ~ r2_hidden(X7,X5)
| lhs_atom5(X5,X6) )
& ( ~ r2_hidden(X9,X10)
| ~ r2_hidden(X10,X6)
| r2_hidden(X9,X5)
| lhs_atom5(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( lhs_atom18(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_28])]) ).
fof(c_0_55,plain,
! [X3,X4] :
( lhs_atom8(X3,X4)
| m1_subset_1(k5_setfam_1(X4,X3),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_56,plain,
! [X3,X4] :
( lhs_atom17(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_57,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_58,plain,
! [X3,X4] :
( lhs_atom15(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_59,plain,
! [X3,X4] :
( lhs_atom8(X3,X4)
| k5_setfam_1(X4,X3) = k3_tarski(X3) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_60,plain,
! [X3] :
( ( m1_subset_1(esk5_1(X3),k1_zfmisc_1(X3))
| lhs_atom13(X3) )
& ( ~ v1_xboole_0(esk5_1(X3))
| lhs_atom13(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])])]) ).
fof(c_0_61,plain,
! [X3,X4] :
( lhs_atom16(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_62,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_63,plain,
! [X3,X4] :
( lhs_atom3(X3)
| ~ r2_hidden(X4,X3) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_64,plain,
! [X3] :
( lhs_atom4(X3)
| r2_hidden(esk1_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_65,plain,
! [X3] :
( lhs_atom2(X3)
| v1_relat_1(X3) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_66,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_67,plain,
! [X3] : lhs_atom14(X3),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_68,plain,
! [X3] : lhs_atom12(X3),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_69,plain,
lhs_atom11,
c_0_43 ).
fof(c_0_70,plain,
lhs_atom10,
c_0_44 ).
fof(c_0_71,plain,
lhs_atom11,
c_0_45 ).
fof(c_0_72,plain,
lhs_atom10,
c_0_46 ).
fof(c_0_73,plain,
lhs_atom9,
c_0_47 ).
fof(c_0_74,plain,
lhs_atom7,
c_0_48 ).
fof(c_0_75,plain,
lhs_atom7,
c_0_49 ).
fof(c_0_76,plain,
lhs_atom7,
c_0_50 ).
fof(c_0_77,plain,
lhs_atom7,
c_0_51 ).
cnf(c_0_78,plain,
( lhs_atom6(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(esk3_2(X1,X2),X3)
| ~ r2_hidden(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79,plain,
( lhs_atom5(X1,X2)
| r2_hidden(X3,esk2_3(X1,X2,X3))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80,plain,
( lhs_atom5(X1,X2)
| r2_hidden(esk2_3(X1,X2,X3),X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_81,plain,
( lhs_atom6(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk3_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_82,plain,
( lhs_atom6(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_83,plain,
( lhs_atom5(X1,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_84,plain,
( lhs_atom18(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_85,plain,
( m1_subset_1(k5_setfam_1(X1,X2),k1_zfmisc_1(X1))
| lhs_atom8(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_86,plain,
( lhs_atom17(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_87,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_88,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom15(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_89,plain,
( k5_setfam_1(X1,X2) = k3_tarski(X2)
| lhs_atom8(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_90,plain,
( lhs_atom13(X1)
| m1_subset_1(esk5_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_91,plain,
( r1_tarski(X1,X2)
| lhs_atom16(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_92,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_93,plain,
( lhs_atom3(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_94,plain,
( r2_hidden(esk1_1(X1),X1)
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_95,plain,
( lhs_atom13(X1)
| ~ v1_xboole_0(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_96,plain,
( v1_relat_1(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_97,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_98,plain,
lhs_atom14(X1),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_99,plain,
lhs_atom12(X1),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_100,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_101,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_102,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_103,plain,
lhs_atom10,
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_104,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_105,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_106,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_107,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_108,plain,
lhs_atom7,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_109,plain,
( lhs_atom6(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(esk3_2(X1,X2),X3)
| ~ r2_hidden(esk3_2(X1,X2),X1) ),
c_0_78,
[final] ).
cnf(c_0_110,plain,
( lhs_atom5(X1,X2)
| r2_hidden(X3,esk2_3(X1,X2,X3))
| ~ r2_hidden(X3,X1) ),
c_0_79,
[final] ).
cnf(c_0_111,plain,
( lhs_atom5(X1,X2)
| r2_hidden(esk2_3(X1,X2,X3),X2)
| ~ r2_hidden(X3,X1) ),
c_0_80,
[final] ).
cnf(c_0_112,plain,
( lhs_atom6(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk3_2(X1,X2),esk4_2(X1,X2)) ),
c_0_81,
[final] ).
cnf(c_0_113,plain,
( lhs_atom6(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk4_2(X1,X2),X2) ),
c_0_82,
[final] ).
cnf(c_0_114,plain,
( lhs_atom5(X1,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X4) ),
c_0_83,
[final] ).
cnf(c_0_115,plain,
( lhs_atom18(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_84,
[final] ).
cnf(c_0_116,plain,
( m1_subset_1(k5_setfam_1(X1,X2),k1_zfmisc_1(X1))
| lhs_atom8(X2,X1) ),
c_0_85,
[final] ).
cnf(c_0_117,plain,
( lhs_atom17(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_86,
[final] ).
cnf(c_0_118,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_87,
[final] ).
cnf(c_0_119,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom15(X2,X1) ),
c_0_88,
[final] ).
cnf(c_0_120,plain,
( k5_setfam_1(X1,X2) = k3_tarski(X2)
| lhs_atom8(X2,X1) ),
c_0_89,
[final] ).
cnf(c_0_121,plain,
( lhs_atom13(X1)
| m1_subset_1(esk5_1(X1),k1_zfmisc_1(X1)) ),
c_0_90,
[final] ).
cnf(c_0_122,plain,
( r1_tarski(X1,X2)
| lhs_atom16(X2,X1) ),
c_0_91,
[final] ).
cnf(c_0_123,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_92,
[final] ).
cnf(c_0_124,plain,
( lhs_atom3(X2)
| ~ r2_hidden(X1,X2) ),
c_0_93,
[final] ).
cnf(c_0_125,plain,
( r2_hidden(esk1_1(X1),X1)
| lhs_atom4(X1) ),
c_0_94,
[final] ).
cnf(c_0_126,plain,
( lhs_atom13(X1)
| ~ v1_xboole_0(esk5_1(X1)) ),
c_0_95,
[final] ).
cnf(c_0_127,plain,
( v1_relat_1(X1)
| lhs_atom2(X1) ),
c_0_96,
[final] ).
cnf(c_0_128,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
c_0_97,
[final] ).
cnf(c_0_129,plain,
lhs_atom14(X1),
c_0_98,
[final] ).
cnf(c_0_130,plain,
lhs_atom12(X1),
c_0_99,
[final] ).
cnf(c_0_131,plain,
lhs_atom11,
c_0_100,
[final] ).
cnf(c_0_132,plain,
lhs_atom10,
c_0_101,
[final] ).
cnf(c_0_133,plain,
lhs_atom11,
c_0_102,
[final] ).
cnf(c_0_134,plain,
lhs_atom10,
c_0_103,
[final] ).
cnf(c_0_135,plain,
lhs_atom9,
c_0_104,
[final] ).
cnf(c_0_136,plain,
lhs_atom7,
c_0_105,
[final] ).
cnf(c_0_137,plain,
lhs_atom7,
c_0_106,
[final] ).
cnf(c_0_138,plain,
lhs_atom7,
c_0_107,
[final] ).
cnf(c_0_139,plain,
lhs_atom7,
c_0_108,
[final] ).
% End CNF derivation
cnf(c_0_109_0,axiom,
( X1 = k3_tarski(X2)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(sk1_esk3_2(X1,X2),X3)
| ~ r2_hidden(sk1_esk3_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_109,def_lhs_atom6]) ).
cnf(c_0_110_0,axiom,
( X1 != k3_tarski(X2)
| r2_hidden(X3,sk1_esk2_3(X1,X2,X3))
| ~ r2_hidden(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom5]) ).
cnf(c_0_111_0,axiom,
( X1 != k3_tarski(X2)
| r2_hidden(sk1_esk2_3(X1,X2,X3),X2)
| ~ r2_hidden(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_111,def_lhs_atom5]) ).
cnf(c_0_112_0,axiom,
( X1 = k3_tarski(X2)
| r2_hidden(sk1_esk3_2(X1,X2),X1)
| r2_hidden(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_112,def_lhs_atom6]) ).
cnf(c_0_113_0,axiom,
( X1 = k3_tarski(X2)
| r2_hidden(sk1_esk3_2(X1,X2),X1)
| r2_hidden(sk1_esk4_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_113,def_lhs_atom6]) ).
cnf(c_0_114_0,axiom,
( X1 != k3_tarski(X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X4) ),
inference(unfold_definition,[status(thm)],[c_0_114,def_lhs_atom5]) ).
cnf(c_0_115_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_115,def_lhs_atom18]) ).
cnf(c_0_116_0,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| m1_subset_1(k5_setfam_1(X1,X2),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_116,def_lhs_atom8]) ).
cnf(c_0_117_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom17]) ).
cnf(c_0_118_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom1]) ).
cnf(c_0_119_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom15]) ).
cnf(c_0_120_0,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k5_setfam_1(X1,X2) = k3_tarski(X2) ),
inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom8]) ).
cnf(c_0_121_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk5_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom13]) ).
cnf(c_0_122_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom16]) ).
cnf(c_0_123_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom1]) ).
cnf(c_0_124_0,axiom,
( X2 != k1_xboole_0
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom3]) ).
cnf(c_0_125_0,axiom,
( X1 = k1_xboole_0
| r2_hidden(sk1_esk1_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom4]) ).
cnf(c_0_126_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk5_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom13]) ).
cnf(c_0_127_0,axiom,
( ~ v1_xboole_0(X1)
| v1_relat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom2]) ).
cnf(c_0_128_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom2]) ).
cnf(c_0_129_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom14]) ).
cnf(c_0_130_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom12]) ).
cnf(c_0_131_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom11]) ).
cnf(c_0_132_0,axiom,
v1_relat_1(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom10]) ).
cnf(c_0_133_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom11]) ).
cnf(c_0_134_0,axiom,
v1_relat_1(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom10]) ).
cnf(c_0_135_0,axiom,
v3_relat_1(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom9]) ).
cnf(c_0_136_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom7]) ).
cnf(c_0_137_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom7]) ).
cnf(c_0_138_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom7]) ).
cnf(c_0_139_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom7]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_2_003,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_3_004,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_5_006,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('<stdin>',rc2_relat_1) ).
fof(c_0_6_007,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('<stdin>',rc1_relat_1) ).
fof(c_0_7_008,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1) ),
file('<stdin>',rc3_relat_1) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_0 ).
fof(c_0_9_010,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_1 ).
fof(c_0_10_011,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_2 ).
fof(c_0_11_012,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_3 ).
fof(c_0_12_013,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_4 ).
fof(c_0_13_014,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_14_015,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
c_0_6 ).
fof(c_0_15_016,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1) ),
c_0_7 ).
fof(c_0_16_017,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_8])])])]) ).
fof(c_0_17_018,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_18_019,plain,
! [X3] :
( m1_subset_1(esk2_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk2_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
fof(c_0_19_020,plain,
! [X3] : m1_subset_1(esk5_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
fof(c_0_20_021,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_12])])])]) ).
fof(c_0_21_022,plain,
( ~ v1_xboole_0(esk3_0)
& v1_relat_1(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
fof(c_0_22_023,plain,
( v1_xboole_0(esk4_0)
& v1_relat_1(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_23_024,plain,
( v1_relat_1(esk1_0)
& v3_relat_1(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).
cnf(c_0_24_025,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25_026,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26_027,plain,
m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27_028,plain,
m1_subset_1(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28_029,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29_030,plain,
v1_xboole_0(esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30_031,plain,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31_032,plain,
v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32_033,plain,
v1_relat_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33_034,plain,
v1_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_035,plain,
v1_relat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35_036,plain,
v3_relat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36_037,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_24,
[final] ).
cnf(c_0_37_038,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_25,
[final] ).
cnf(c_0_38_039,plain,
m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)),
c_0_26,
[final] ).
cnf(c_0_39_040,plain,
m1_subset_1(esk5_1(X1),X1),
c_0_27,
[final] ).
cnf(c_0_40_041,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_28,
[final] ).
cnf(c_0_41_042,plain,
v1_xboole_0(esk2_1(X1)),
c_0_29,
[final] ).
cnf(c_0_42_043,plain,
~ v1_xboole_0(esk3_0),
c_0_30,
[final] ).
cnf(c_0_43_044,plain,
v1_xboole_0(esk4_0),
c_0_31,
[final] ).
cnf(c_0_44_045,plain,
v1_relat_1(esk4_0),
c_0_32,
[final] ).
cnf(c_0_45_046,plain,
v1_relat_1(esk3_0),
c_0_33,
[final] ).
cnf(c_0_46_047,plain,
v1_relat_1(esk1_0),
c_0_34,
[final] ).
cnf(c_0_47_048,plain,
v3_relat_1(esk1_0),
c_0_35,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_36_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_36]) ).
cnf(c_0_36_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_36]) ).
cnf(c_0_36_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_36]) ).
cnf(c_0_37_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_37_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_37]) ).
cnf(c_0_40_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_40_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_40]) ).
cnf(c_0_42_0,axiom,
~ v1_xboole_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_38_0,axiom,
m1_subset_1(sk2_esk2_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_38]) ).
cnf(c_0_39_0,axiom,
m1_subset_1(sk2_esk5_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_39]) ).
cnf(c_0_41_0,axiom,
v1_xboole_0(sk2_esk2_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_43_0,axiom,
v1_xboole_0(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_0,axiom,
v1_relat_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
v1_relat_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
v1_relat_1(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
v3_relat_1(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_049,conjecture,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( k5_setfam_1(X1,X2) = k1_xboole_0
<=> ! [X3] :
( r2_hidden(X3,X2)
=> X3 = k1_xboole_0 ) ) ),
file('<stdin>',t30_relset_2) ).
fof(c_0_1_050,negated_conjecture,
~ ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ( k5_setfam_1(X1,X2) = k1_xboole_0
<=> ! [X3] :
( r2_hidden(X3,X2)
=> X3 = k1_xboole_0 ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_051,negated_conjecture,
! [X7] :
( m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& ( r2_hidden(esk3_0,esk2_0)
| k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 )
& ( esk3_0 != k1_xboole_0
| k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 )
& ( k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
| ~ r2_hidden(X7,esk2_0)
| X7 = k1_xboole_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3_052,negated_conjecture,
( X1 = k1_xboole_0
| k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
| ~ r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_053,negated_conjecture,
( r2_hidden(esk3_0,esk2_0)
| k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_054,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_055,negated_conjecture,
( k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0
| esk3_0 != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_056,negated_conjecture,
( X1 = k1_xboole_0
| k5_setfam_1(esk1_0,esk2_0) = k1_xboole_0
| ~ r2_hidden(X1,esk2_0) ),
c_0_3,
[final] ).
cnf(c_0_8_057,negated_conjecture,
( r2_hidden(esk3_0,esk2_0)
| k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0 ),
c_0_4,
[final] ).
cnf(c_0_9_058,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
c_0_5,
[final] ).
cnf(c_0_10_059,negated_conjecture,
( k5_setfam_1(esk1_0,esk2_0) != k1_xboole_0
| esk3_0 != k1_xboole_0 ),
c_0_6,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_32,plain,
( ~ r2_hidden(X0,X1)
| X1 != k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_124_0) ).
cnf(c_135,plain,
( ~ r2_hidden(X0,X1)
| X1 != k1_xboole_0 ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_21629,plain,
( ~ r2_hidden(sk1_esk1_1(sk3_esk3_0),X0)
| X0 != k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_29416,plain,
( ~ r2_hidden(sk1_esk1_1(sk3_esk3_0),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_21629]) ).
cnf(c_48,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_7) ).
cnf(c_75,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_48]) ).
cnf(c_91,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_98,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_91]) ).
cnf(c_99,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_98]) ).
cnf(c_151,negated_conjecture,
( ~ r2_hidden(X0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_99]) ).
cnf(c_22068,plain,
( ~ r2_hidden(sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))),sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0
| sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))) = k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_14441,plain,
( ~ r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))))
| sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))) != k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_45,plain,
( ~ r2_hidden(X0,X1)
| r2_hidden(sk1_esk2_3(X1,X2,X0),X2)
| X1 != k3_tarski(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_111_0) ).
cnf(c_148,plain,
( ~ r2_hidden(X0,X1)
| r2_hidden(sk1_esk2_3(X1,X2,X0),X2)
| X1 != k3_tarski(X2) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_6815,plain,
( ~ r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| r2_hidden(sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),X0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))),X0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k3_tarski(X0) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_13975,plain,
( ~ r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| r2_hidden(sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))),sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k3_tarski(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_6815]) ).
cnf(c_46,plain,
( ~ r2_hidden(X0,X1)
| r2_hidden(X0,sk1_esk2_3(X1,X2,X0))
| X1 != k3_tarski(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_110_0) ).
cnf(c_149,plain,
( ~ r2_hidden(X0,X1)
| r2_hidden(X0,sk1_esk2_3(X1,X2,X0))
| X1 != k3_tarski(X2) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_6906,plain,
( ~ r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),X0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))))
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k3_tarski(X0) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_13950,plain,
( ~ r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),sk1_esk2_3(k5_setfam_1(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0,sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0))))
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k3_tarski(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_6906]) ).
cnf(c_42,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X2)
| r2_hidden(X0,X3)
| X3 != k3_tarski(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_114_0) ).
cnf(c_145,plain,
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X2)
| r2_hidden(X0,X3)
| X3 != k3_tarski(X2) ),
inference(copy,[status(esa)],[c_42]) ).
cnf(c_6746,plain,
( ~ r2_hidden(sk1_esk1_1(sk3_esk3_0),sk3_esk3_0)
| r2_hidden(sk1_esk1_1(sk3_esk3_0),X0)
| ~ r2_hidden(sk3_esk3_0,X1)
| X0 != k3_tarski(X1) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_7037,plain,
( ~ r2_hidden(sk1_esk1_1(sk3_esk3_0),sk3_esk3_0)
| r2_hidden(sk1_esk1_1(sk3_esk3_0),X0)
| ~ r2_hidden(sk3_esk3_0,sk3_esk2_0)
| X0 != k3_tarski(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_6746]) ).
cnf(c_7316,plain,
( r2_hidden(sk1_esk1_1(sk3_esk3_0),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| ~ r2_hidden(sk1_esk1_1(sk3_esk3_0),sk3_esk3_0)
| ~ r2_hidden(sk3_esk3_0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k3_tarski(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_7037]) ).
cnf(c_36,plain,
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_120_0) ).
cnf(c_139,plain,
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_6699,plain,
( ~ m1_subset_1(sk3_esk2_0,k1_zfmisc_1(k1_zfmisc_1(sk3_esk1_0)))
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k3_tarski(sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_31,plain,
( r2_hidden(sk1_esk1_1(X0),X0)
| X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_125_0) ).
cnf(c_134,plain,
( r2_hidden(sk1_esk1_1(X0),X0)
| X0 = k1_xboole_0 ),
inference(copy,[status(esa)],[c_31]) ).
cnf(c_6680,plain,
( r2_hidden(sk1_esk1_1(sk3_esk3_0),sk3_esk3_0)
| sk3_esk3_0 = k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_6679,plain,
( r2_hidden(sk1_esk1_1(k5_setfam_1(sk3_esk1_0,sk3_esk2_0)),k5_setfam_1(sk3_esk1_0,sk3_esk2_0))
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) = k1_xboole_0 ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_49,negated_conjecture,
( r2_hidden(sk3_esk3_0,sk3_esk2_0)
| k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_8) ).
cnf(c_50,negated_conjecture,
( k5_setfam_1(sk3_esk1_0,sk3_esk2_0) != k1_xboole_0
| sk3_esk3_0 != k1_xboole_0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_10) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sk3_esk2_0,k1_zfmisc_1(k1_zfmisc_1(sk3_esk1_0))),
file('/export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p',c_0_9) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_29416,c_22068,c_14441,c_13975,c_13950,c_7316,c_6699,c_6680,c_6679,c_49,c_50,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11 % Command : iprover_modulo %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 20 12:50:04 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running in mono-core mode
% 0.16/0.37 % Orienting using strategy Equiv(ClausalAll)
% 0.16/0.37 % FOF problem with conjecture
% 0.16/0.37 % 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_2a18d1.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_11fb9b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c384e5 | grep -v "SZS"
% 0.16/0.39
% 0.16/0.39 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.16/0.39
% 0.16/0.39 %
% 0.16/0.39 % ------ iProver source info
% 0.16/0.39
% 0.16/0.39 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.16/0.39 % git: non_committed_changes: true
% 0.16/0.39 % git: last_make_outside_of_git: true
% 0.16/0.39
% 0.16/0.39 %
% 0.16/0.39 % ------ Input Options
% 0.16/0.39
% 0.16/0.39 % --out_options all
% 0.16/0.39 % --tptp_safe_out true
% 0.16/0.39 % --problem_path ""
% 0.16/0.39 % --include_path ""
% 0.16/0.39 % --clausifier .//eprover
% 0.16/0.39 % --clausifier_options --tstp-format
% 0.16/0.39 % --stdin false
% 0.16/0.39 % --dbg_backtrace false
% 0.16/0.39 % --dbg_dump_prop_clauses false
% 0.16/0.39 % --dbg_dump_prop_clauses_file -
% 0.16/0.39 % --dbg_out_stat false
% 0.16/0.39
% 0.16/0.39 % ------ General Options
% 0.16/0.39
% 0.16/0.39 % --fof false
% 0.16/0.39 % --time_out_real 150.
% 0.16/0.39 % --time_out_prep_mult 0.2
% 0.16/0.39 % --time_out_virtual -1.
% 0.16/0.39 % --schedule none
% 0.16/0.39 % --ground_splitting input
% 0.16/0.39 % --splitting_nvd 16
% 0.16/0.39 % --non_eq_to_eq false
% 0.16/0.39 % --prep_gs_sim true
% 0.16/0.39 % --prep_unflatten false
% 0.16/0.39 % --prep_res_sim true
% 0.16/0.39 % --prep_upred true
% 0.16/0.39 % --res_sim_input true
% 0.16/0.39 % --clause_weak_htbl true
% 0.16/0.39 % --gc_record_bc_elim false
% 0.16/0.39 % --symbol_type_check false
% 0.16/0.39 % --clausify_out false
% 0.16/0.39 % --large_theory_mode false
% 0.16/0.39 % --prep_sem_filter none
% 0.16/0.39 % --prep_sem_filter_out false
% 0.16/0.39 % --preprocessed_out false
% 0.16/0.39 % --sub_typing false
% 0.16/0.39 % --brand_transform false
% 0.16/0.39 % --pure_diseq_elim true
% 0.16/0.39 % --min_unsat_core false
% 0.16/0.39 % --pred_elim true
% 0.16/0.39 % --add_important_lit false
% 0.16/0.39 % --soft_assumptions false
% 0.16/0.39 % --reset_solvers false
% 0.16/0.39 % --bc_imp_inh []
% 0.16/0.39 % --conj_cone_tolerance 1.5
% 0.16/0.39 % --prolific_symb_bound 500
% 0.16/0.39 % --lt_threshold 2000
% 0.16/0.39
% 0.16/0.39 % ------ SAT Options
% 0.16/0.39
% 0.16/0.39 % --sat_mode false
% 0.16/0.39 % --sat_fm_restart_options ""
% 0.16/0.39 % --sat_gr_def false
% 0.16/0.39 % --sat_epr_types true
% 0.16/0.39 % --sat_non_cyclic_types false
% 0.16/0.39 % --sat_finite_models false
% 0.16/0.39 % --sat_fm_lemmas false
% 0.16/0.39 % --sat_fm_prep false
% 0.16/0.39 % --sat_fm_uc_incr true
% 0.16/0.39 % --sat_out_model small
% 0.16/0.39 % --sat_out_clauses false
% 0.16/0.39
% 0.16/0.39 % ------ QBF Options
% 0.16/0.39
% 0.16/0.39 % --qbf_mode false
% 0.16/0.39 % --qbf_elim_univ true
% 0.16/0.39 % --qbf_sk_in true
% 0.16/0.39 % --qbf_pred_elim true
% 0.16/0.39 % --qbf_split 32
% 0.16/0.39
% 0.16/0.39 % ------ BMC1 Options
% 0.16/0.39
% 0.16/0.39 % --bmc1_incremental false
% 0.16/0.39 % --bmc1_axioms reachable_all
% 0.16/0.39 % --bmc1_min_bound 0
% 0.16/0.39 % --bmc1_max_bound -1
% 0.16/0.39 % --bmc1_max_bound_default -1
% 0.16/0.39 % --bmc1_symbol_reachability true
% 0.16/0.39 % --bmc1_property_lemmas false
% 0.16/0.39 % --bmc1_k_induction false
% 0.16/0.39 % --bmc1_non_equiv_states false
% 0.16/0.39 % --bmc1_deadlock false
% 0.16/0.39 % --bmc1_ucm false
% 0.16/0.39 % --bmc1_add_unsat_core none
% 0.16/0.39 % --bmc1_unsat_core_children false
% 0.16/0.39 % --bmc1_unsat_core_extrapolate_axioms false
% 0.16/0.39 % --bmc1_out_stat full
% 0.16/0.39 % --bmc1_ground_init false
% 0.16/0.39 % --bmc1_pre_inst_next_state false
% 0.16/0.39 % --bmc1_pre_inst_state false
% 0.16/0.39 % --bmc1_pre_inst_reach_state false
% 0.16/0.39 % --bmc1_out_unsat_core false
% 0.16/0.39 % --bmc1_aig_witness_out false
% 0.16/0.39 % --bmc1_verbose false
% 0.16/0.39 % --bmc1_dump_clauses_tptp false
% 0.16/0.39 % --bmc1_dump_unsat_core_tptp false
% 0.16/0.39 % --bmc1_dump_file -
% 0.16/0.39 % --bmc1_ucm_expand_uc_limit 128
% 0.16/0.39 % --bmc1_ucm_n_expand_iterations 6
% 0.16/0.39 % --bmc1_ucm_extend_mode 1
% 0.16/0.39 % --bmc1_ucm_init_mode 2
% 0.16/0.39 % --bmc1_ucm_cone_mode none
% 0.16/0.39 % --bmc1_ucm_reduced_relation_type 0
% 0.16/0.39 % --bmc1_ucm_relax_model 4
% 0.16/0.39 % --bmc1_ucm_full_tr_after_sat true
% 0.16/0.39 % --bmc1_ucm_expand_neg_assumptions false
% 0.16/0.39 % --bmc1_ucm_layered_model none
% 0.16/0.39 % --bmc1_ucm_max_lemma_size 10
% 0.16/0.39
% 0.16/0.39 % ------ AIG Options
% 0.16/0.39
% 0.16/0.39 % --aig_mode false
% 0.16/0.39
% 0.16/0.39 % ------ Instantiation Options
% 0.16/0.39
% 0.16/0.39 % --instantiation_flag true
% 0.16/0.39 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.16/0.39 % --inst_solver_per_active 750
% 0.16/0.39 % --inst_solver_calls_frac 0.5
% 0.16/0.39 % --inst_passive_queue_type priority_queues
% 0.16/0.39 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.16/0.39 % --inst_passive_queues_freq [25;2]
% 0.16/0.39 % --inst_dismatching true
% 0.16/0.39 % --inst_eager_unprocessed_to_passive true
% 0.16/0.39 % --inst_prop_sim_given true
% 0.16/0.39 % --inst_prop_sim_new false
% 0.16/0.39 % --inst_orphan_elimination true
% 0.16/0.39 % --inst_learning_loop_flag true
% 0.16/0.39 % --inst_learning_start 3000
% 0.16/0.39 % --inst_learning_factor 2
% 0.16/0.39 % --inst_start_prop_sim_after_learn 3
% 0.16/0.39 % --inst_sel_renew solver
% 0.16/0.39 % --inst_lit_activity_flag true
% 0.16/0.39 % --inst_out_proof true
% 0.16/0.39
% 0.16/0.39 % ------ Resolution Options
% 0.16/0.39
% 0.16/0.39 % --resolution_flag true
% 0.16/0.39 % --res_lit_sel kbo_max
% 0.16/0.39 % --res_to_prop_solver none
% 0.16/0.39 % --res_prop_simpl_new false
% 0.16/0.39 % --res_prop_simpl_given false
% 0.16/0.39 % --res_passive_queue_type priority_queues
% 0.16/0.39 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.16/0.39 % --res_passive_queues_freq [15;5]
% 0.16/0.39 % --res_forward_subs full
% 0.16/0.39 % --res_backward_subs full
% 0.16/0.39 % --res_forward_subs_resolution true
% 0.16/0.39 % --res_backward_subs_resolution true
% 0.16/0.39 % --res_orphan_elimination false
% 0.16/0.39 % --res_time_limit 1000.
% 0.16/0.39 % --res_out_proof true
% 0.16/0.39 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_2a18d1.s
% 0.16/0.39 % --modulo true
% 0.16/0.39
% 0.16/0.39 % ------ Combination Options
% 0.16/0.39
% 0.16/0.39 % --comb_res_mult 1000
% 0.16/0.39 % --comb_inst_mult 300
% 0.16/0.39 % ------
% 0.16/0.39
% 0.16/0.39 % ------ Parsing...% successful
% 0.16/0.39
% 0.16/0.39 % ------ 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 %
% 0.16/0.39
% 0.16/0.39 % ------ Proving...
% 0.16/0.39 % ------ Problem Properties
% 0.16/0.39
% 0.16/0.39 %
% 0.16/0.39 % EPR false
% 0.16/0.39 % Horn false
% 0.16/0.39 % Has equality true
% 0.16/0.39
% 0.16/0.39 % % ------ Input Options Time Limit: Unbounded
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % % ------ Current options:
% 0.16/0.39
% 0.16/0.39 % ------ Input Options
% 0.16/0.39
% 0.16/0.39 % --out_options all
% 0.16/0.39 % --tptp_safe_out true
% 0.16/0.39 % --problem_path ""
% 0.16/0.39 % --include_path ""
% 0.16/0.39 % --clausifier .//eprover
% 0.16/0.39 % --clausifier_options --tstp-format
% 0.16/0.39 % --stdin false
% 0.16/0.39 % --dbg_backtrace false
% 0.16/0.39 % --dbg_dump_prop_clauses false
% 0.16/0.39 % --dbg_dump_prop_clauses_file -
% 0.16/0.39 % --dbg_out_stat false
% 0.16/0.39
% 0.16/0.39 % ------ General Options
% 0.16/0.39
% 0.16/0.39 % --fof false
% 0.16/0.39 % --time_out_real 150.
% 0.16/0.39 % --time_out_prep_mult 0.2
% 0.16/0.39 % --time_out_virtual -1.
% 0.16/0.39 % --schedule none
% 0.16/0.39 % --ground_splitting input
% 0.16/0.39 % --splitting_nvd 16
% 0.16/0.39 % --non_eq_to_eq false
% 0.16/0.39 % --prep_gs_sim true
% 0.16/0.39 % --prep_unflatten false
% 0.16/0.39 % --prep_res_sim true
% 0.16/0.39 % --prep_upred true
% 0.16/0.39 % --res_sim_input true
% 0.16/0.39 % --clause_weak_htbl true
% 0.16/0.39 % --gc_record_bc_elim false
% 0.16/0.39 % --symbol_type_check false
% 0.16/0.39 % --clausify_out false
% 0.16/0.39 % --large_theory_mode false
% 0.16/0.39 % --prep_sem_filter none
% 0.16/0.39 % --prep_sem_filter_out false
% 0.16/0.39 % --preprocessed_out false
% 0.16/0.39 % --sub_typing false
% 0.16/0.39 % --brand_transform false
% 0.16/0.39 % --pure_diseq_elim true
% 0.16/0.39 % --min_unsat_core false
% 0.16/0.39 % --pred_elim true
% 0.16/0.39 % --add_important_lit false
% 0.16/0.39 % --soft_assumptions false
% 0.16/0.39 % --reset_solvers false
% 0.16/0.39 % --bc_imp_inh []
% 0.16/0.39 % --conj_cone_tolerance 1.5
% 0.16/0.39 % --prolific_symb_bound 500
% 0.16/0.39 % --lt_threshold 2000
% 0.16/0.39
% 0.16/0.39 % ------ SAT Options
% 0.16/0.39
% 0.16/0.39 % --sat_mode false
% 0.16/0.39 % --sat_fm_restart_options ""
% 0.16/0.39 % --sat_gr_def false
% 0.16/0.39 % --sat_epr_types true
% 0.16/0.39 % --sat_non_cyclic_types false
% 0.16/0.39 % --sat_finite_models false
% 0.16/0.39 % --sat_fm_lemmas false
% 0.16/0.39 % --sat_fm_prep false
% 0.16/0.39 % --sat_fm_uc_incr true
% 0.16/0.39 % --sat_out_model small
% 0.16/0.39 % --sat_out_clauses false
% 0.16/0.39
% 0.16/0.39 % ------ QBF Options
% 0.16/0.39
% 0.16/0.39 % --qbf_mode false
% 0.16/0.39 % --qbf_elim_univ true
% 0.16/0.39 % --qbf_sk_in true
% 0.16/0.39 % --qbf_pred_elim true
% 0.16/0.39 % --qbf_split 32
% 0.16/0.39
% 0.16/0.39 % ------ BMC1 Options
% 0.16/0.39
% 0.16/0.39 % --bmc1_incremental false
% 0.16/0.39 % --bmc1_axioms reachable_all
% 0.16/0.39 % --bmc1_min_bound 0
% 0.16/0.39 % --bmc1_max_bound -1
% 0.16/0.39 % --bmc1_max_bound_default -1
% 0.16/0.39 % --bmc1_symbol_reachability true
% 0.16/0.39 % --bmc1_property_lemmas false
% 0.16/0.39 % --bmc1_k_induction false
% 0.16/0.39 % --bmc1_non_equiv_states false
% 0.16/0.39 % --bmc1_deadlock false
% 0.16/0.39 % --bmc1_ucm false
% 0.16/0.39 % --bmc1_add_unsat_core none
% 0.16/0.39 % --bmc1_unsat_core_children false
% 0.16/0.39 % --bmc1_unsat_core_extrapolate_axioms false
% 0.16/0.39 % --bmc1_out_stat full
% 0.16/0.39 % --bmc1_ground_init false
% 0.16/0.39 % --bmc1_pre_inst_next_state false
% 0.16/0.39 % --bmc1_pre_inst_state false
% 0.16/0.39 % --bmc1_pre_inst_reach_state false
% 0.16/0.39 % --bmc1_out_unsat_core false
% 0.16/0.39 % --bmc1_aig_witness_out false
% 0.16/0.39 % --bmc1_verbose false
% 0.16/0.39 % --bmc1_dump_clauses_tptp false
% 0.16/0.39 % --bmc1_dump_unsat_core_tptp false
% 0.16/0.39 % --bmc1_dump_file -
% 0.16/0.39 % --bmc1_ucm_expand_uc_limit 128
% 0.16/0.39 % --bmc1_ucm_n_expand_iterations 6
% 0.16/0.39 % --bmc1_ucm_extend_mode 1
% 0.16/0.39 % --bmc1_ucm_init_mode 2
% 0.16/0.39 % --bmc1_ucm_cone_mode none
% 0.16/0.39 % --bmc1_ucm_reduced_relation_type 0
% 0.16/0.39 % --bmc1_ucm_relax_model 4
% 0.16/0.39 % --bmc1_ucm_full_tr_after_sat true
% 0.16/0.39 % --bmc1_ucm_expand_neg_assumptions false
% 0.16/0.39 % --bmc1_ucm_layered_model none
% 0.16/0.39 % --bmc1_ucm_max_lemma_size 10
% 0.16/0.39
% 0.16/0.39 % ------ AIG Options
% 0.16/0.39
% 0.16/0.39 % --aig_mode false
% 0.16/0.39
% 0.16/0.39 % ------ Instantiation Options
% 0.16/0.39
% 0.16/0.39 % --instantiation_flag true
% 0.16/0.39 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.16/0.39 % --inst_solver_per_active 750
% 0.16/0.39 % --inst_solver_calls_frac 0.5
% 0.16/0.39 % --inst_passive_queue_type priority_queues
% 0.16/0.39 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.16/0.39 % --inst_passive_queues_freq [25;2]
% 0.16/0.39 % --inst_dismatching true
% 0.16/0.39 % --inst_eager_unprocessed_to_passive true
% 0.16/0.39 % --inst_prop_sim_given true
% 44.89/45.16 % --inst_prop_sim_new false
% 44.89/45.16 % --inst_orphan_elimination true
% 44.89/45.16 % --inst_learning_loop_flag true
% 44.89/45.16 % --inst_learning_start 3000
% 44.89/45.16 % --inst_learning_factor 2
% 44.89/45.16 % --inst_start_prop_sim_after_learn 3
% 44.89/45.16 % --inst_sel_renew solver
% 44.89/45.16 % --inst_lit_activity_flag true
% 44.89/45.16 % --inst_out_proof true
% 44.89/45.16
% 44.89/45.16 % ------ Resolution Options
% 44.89/45.16
% 44.89/45.16 % --resolution_flag true
% 44.89/45.16 % --res_lit_sel kbo_max
% 44.89/45.16 % --res_to_prop_solver none
% 44.89/45.16 % --res_prop_simpl_new false
% 44.89/45.16 % --res_prop_simpl_given false
% 44.89/45.16 % --res_passive_queue_type priority_queues
% 44.89/45.16 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 44.89/45.16 % --res_passive_queues_freq [15;5]
% 44.89/45.16 % --res_forward_subs full
% 44.89/45.16 % --res_backward_subs full
% 44.89/45.16 % --res_forward_subs_resolution true
% 44.89/45.16 % --res_backward_subs_resolution true
% 44.89/45.16 % --res_orphan_elimination false
% 44.89/45.16 % --res_time_limit 1000.
% 44.89/45.16 % --res_out_proof true
% 44.89/45.16 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_2a18d1.s
% 44.89/45.16 % --modulo true
% 44.89/45.16
% 44.89/45.16 % ------ Combination Options
% 44.89/45.16
% 44.89/45.16 % --comb_res_mult 1000
% 44.89/45.16 % --comb_inst_mult 300
% 44.89/45.16 % ------
% 44.89/45.16
% 44.89/45.16
% 44.89/45.16
% 44.89/45.16 % ------ Proving...
% 44.89/45.16 %
% 44.89/45.16
% 44.89/45.16
% 44.89/45.16 % ------ Statistics
% 44.89/45.16
% 44.89/45.16 % ------ General
% 44.89/45.16
% 44.89/45.16 % num_of_input_clauses: 52
% 44.89/45.16 % num_of_input_neg_conjectures: 4
% 44.89/45.16 % num_of_splits: 0
% 44.89/45.16 % num_of_split_atoms: 0
% 44.89/45.16 % num_of_sem_filtered_clauses: 0
% 44.89/45.16 % num_of_subtypes: 0
% 44.89/45.16 % monotx_restored_types: 0
% 44.89/45.16 % sat_num_of_epr_types: 0
% 44.89/45.16 % sat_num_of_non_cyclic_types: 0
% 44.89/45.16 % sat_guarded_non_collapsed_types: 0
% 44.89/45.16 % is_epr: 0
% 44.89/45.16 % is_horn: 0
% 44.89/45.16 % has_eq: 1
% 44.89/45.16 % num_pure_diseq_elim: 0
% 44.89/45.16 % simp_replaced_by: 0
% 44.89/45.16 % res_preprocessed: 8
% 44.89/45.16 % prep_upred: 0
% 44.89/45.16 % prep_unflattend: 0
% 44.89/45.16 % pred_elim_cands: 0
% 44.89/45.16 % pred_elim: 0
% 44.89/45.16 % pred_elim_cl: 0
% 44.89/45.16 % pred_elim_cycles: 0
% 44.89/45.16 % forced_gc_time: 0
% 44.89/45.16 % gc_basic_clause_elim: 0
% 44.89/45.16 % parsing_time: 0.001
% 44.89/45.16 % sem_filter_time: 0.
% 44.89/45.16 % pred_elim_time: 0.
% 44.89/45.16 % out_proof_time: 0.001
% 44.89/45.16 % monotx_time: 0.
% 44.89/45.16 % subtype_inf_time: 0.
% 44.89/45.16 % unif_index_cands_time: 0.01
% 44.89/45.16 % unif_index_add_time: 0.1
% 44.89/45.16 % total_time: 44.788
% 44.89/45.16 % num_of_symbols: 48
% 44.89/45.16 % num_of_terms: 13022
% 44.89/45.16
% 44.89/45.16 % ------ Propositional Solver
% 44.89/45.16
% 44.89/45.16 % prop_solver_calls: 15
% 44.89/45.16 % prop_fast_solver_calls: 24
% 44.89/45.16 % prop_num_of_clauses: 3193
% 44.89/45.16 % prop_preprocess_simplified: 3881
% 44.89/45.16 % prop_fo_subsumed: 0
% 44.89/45.16 % prop_solver_time: 0.001
% 44.89/45.16 % prop_fast_solver_time: 0.
% 44.89/45.16 % prop_unsat_core_time: 0.
% 44.89/45.16
% 44.89/45.16 % ------ QBF
% 44.89/45.16
% 44.89/45.16 % qbf_q_res: 0
% 44.89/45.16 % qbf_num_tautologies: 0
% 44.89/45.16 % qbf_prep_cycles: 0
% 44.89/45.16
% 44.89/45.16 % ------ BMC1
% 44.89/45.16
% 44.89/45.16 % bmc1_current_bound: -1
% 44.89/45.16 % bmc1_last_solved_bound: -1
% 44.89/45.16 % bmc1_unsat_core_size: -1
% 44.89/45.16 % bmc1_unsat_core_parents_size: -1
% 44.89/45.16 % bmc1_merge_next_fun: 0
% 44.89/45.16 % bmc1_unsat_core_clauses_time: 0.
% 44.89/45.16
% 44.89/45.16 % ------ Instantiation
% 44.89/45.16
% 44.89/45.16 % inst_num_of_clauses: 2100
% 44.89/45.16 % inst_num_in_passive: 313
% 44.89/45.16 % inst_num_in_active: 1076
% 44.89/45.16 % inst_num_in_unprocessed: 705
% 44.89/45.16 % inst_num_of_loops: 1458
% 44.89/45.16 % inst_num_of_learning_restarts: 0
% 44.89/45.16 % inst_num_moves_active_passive: 371
% 44.89/45.16 % inst_lit_activity: 697
% 44.89/45.16 % inst_lit_activity_moves: 0
% 44.89/45.16 % inst_num_tautologies: 6
% 44.89/45.16 % inst_num_prop_implied: 0
% 44.89/45.16 % inst_num_existing_simplified: 0
% 44.89/45.16 % inst_num_eq_res_simplified: 0
% 44.89/45.16 % inst_num_child_elim: 0
% 44.89/45.16 % inst_num_of_dismatching_blockings: 1095
% 44.89/45.16 % inst_num_of_non_proper_insts: 3181
% 44.89/45.16 % inst_num_of_duplicates: 1244
% 44.89/45.16 % inst_inst_num_from_inst_to_res: 0
% 44.89/45.16 % inst_dismatching_checking_time: 0.005
% 44.89/45.16
% 44.89/45.16 % ------ Resolution
% 44.89/45.16
% 44.89/45.16 % res_num_of_clauses: 3822
% 44.89/45.16 % res_num_in_passive: 10
% 44.89/45.16 % res_num_in_active: 3796
% 44.89/45.16 % res_num_of_loops: 5000
% 44.89/45.16 % res_forward_subset_subsumed: 1597
% 44.89/45.16 % res_backward_subset_subsumed: 310
% 44.89/45.16 % res_forward_subsumed: 1227
% 44.89/45.16 % res_backward_subsumed: 16
% 44.89/45.16 % res_forward_subsumption_resolution: 932
% 44.89/45.16 % res_backward_subsumption_resolution: 0
% 44.89/45.16 % res_clause_to_clause_subsumption: 10377
% 44.89/45.16 % res_orphan_elimination: 0
% 44.89/45.16 % res_tautology_del: 3
% 44.89/45.16 % res_num_eq_res_simplified: 0
% 44.89/45.16 % res_num_sel_changes: 0
% 44.89/45.16 % res_moves_from_active_to_pass: 0
% 44.89/45.16
% 44.89/45.16 % Status Unsatisfiable
% 44.89/45.16 % SZS status Theorem
% 44.89/45.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------