TSTP Solution File: ALG216+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n018.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 : Thu Jul 14 17:10:39 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% 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(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_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( l1_rlvect_1(A)
& l2_vectsp_1(A) ) ),
input ).
fof(dt_l3_vectsp_1_0,plain,
! [A] :
( ~ l3_vectsp_1(A)
| ( l1_rlvect_1(A)
& l2_vectsp_1(A) ) ),
inference(orientation,[status(thm)],[dt_l3_vectsp_1]) ).
fof(dt_l1_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
input ).
fof(dt_l1_vectsp_2_0,plain,
! [A] :
( ~ l1_struct_0(A)
| ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
inference(orientation,[status(thm)],[dt_l1_vectsp_2]) ).
fof(dt_k2_group_1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_group_1(A) )
=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ),
input ).
fof(dt_k2_group_1_0,plain,
! [A] :
( m1_subset_1(k2_group_1(A),u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_group_1(A) ) ),
inference(orientation,[status(thm)],[dt_k2_group_1]) ).
fof(dt_k1_rlvect_1,axiom,
! [A] :
( l2_struct_0(A)
=> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
input ).
fof(dt_k1_rlvect_1_0,plain,
! [A] :
( ~ l2_struct_0(A)
| m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
inference(orientation,[status(thm)],[dt_k1_rlvect_1]) ).
fof(redefinition_k8_rlvect_2,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> k8_rlvect_2(A,B,C) = k2_tarski(B,C) ),
input ).
fof(redefinition_k8_rlvect_2_0,plain,
! [A,B,C] :
( k8_rlvect_2(A,B,C) = k2_tarski(B,C)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[redefinition_k8_rlvect_2]) ).
fof(existence_l1_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] : l1_vectsp_2(B,A) ),
input ).
fof(existence_l1_vectsp_2_0,plain,
! [A] :
( ~ l1_struct_0(A)
| ? [B] : l1_vectsp_2(B,A) ),
inference(orientation,[status(thm)],[existence_l1_vectsp_2]) ).
fof(commutativity_k8_rlvect_2,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B) ),
input ).
fof(commutativity_k8_rlvect_2_0,plain,
! [A,B,C] :
( k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[commutativity_k8_rlvect_2]) ).
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(rc9_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ? [B] :
( l1_vectsp_2(B,A)
& ~ v3_struct_0(B) ) ),
input ).
fof(rc9_vectsp_2_0,plain,
! [A] :
( ~ l1_struct_0(A)
| ? [B] :
( l1_vectsp_2(B,A)
& ~ v3_struct_0(B) ) ),
inference(orientation,[status(thm)],[rc9_vectsp_2]) ).
fof(fc3_subset_1,axiom,
! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)),
input ).
fof(fc3_subset_1_0,plain,
! [A,B] :
( ~ v1_xboole_0(k2_tarski(A,B))
| $false ),
inference(orientation,[status(thm)],[fc3_subset_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(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_l2_vectsp_1,axiom,
! [A] :
( l2_vectsp_1(A)
=> ( l1_vectsp_1(A)
& l2_struct_0(A) ) ),
input ).
fof(dt_l2_vectsp_1_0,plain,
! [A] :
( ~ l2_vectsp_1(A)
| ( l1_vectsp_1(A)
& l2_struct_0(A) ) ),
inference(orientation,[status(thm)],[dt_l2_vectsp_1]) ).
fof(dt_l2_struct_0,axiom,
! [A] :
( l2_struct_0(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l2_struct_0_0,plain,
! [A] :
( ~ l2_struct_0(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l2_struct_0]) ).
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_rlvect_1,axiom,
! [A] :
( l1_rlvect_1(A)
=> l2_struct_0(A) ),
input ).
fof(dt_l1_rlvect_1_0,plain,
! [A] :
( ~ l1_rlvect_1(A)
| l2_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_rlvect_1]) ).
fof(dt_l1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l1_group_1_0,plain,
! [A] :
( ~ l1_group_1(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_group_1]) ).
fof(dt_k2_tarski,axiom,
$true,
input ).
fof(dt_k2_tarski_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_tarski]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(commutativity_k2_tarski,axiom,
! [A,B] : k2_tarski(A,B) = k2_tarski(B,A),
input ).
fof(commutativity_k2_tarski_0,plain,
! [A,B] :
( k2_tarski(A,B) = k2_tarski(B,A)
| $false ),
inference(orientation,[status(thm)],[commutativity_k2_tarski]) ).
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(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(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(dt_l1_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> l1_group_1(A) ),
input ).
fof(dt_l1_vectsp_1_0,plain,
! [A] :
( ~ l1_vectsp_1(A)
| l1_group_1(A) ),
inference(orientation,[status(thm)],[dt_l1_vectsp_1]) ).
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(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(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(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(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(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,
( lhs_atom2
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,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_atom4,axiom,
! [C,A] :
( lhs_atom4(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A,B,C] :
( lhs_atom4(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [A] :
( lhs_atom5(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom5(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [A] :
( lhs_atom6(A)
<=> ~ l1_vectsp_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom6(A)
| l1_group_1(A) ),
inference(fold_definition,[status(thm)],[dt_l1_vectsp_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [A] :
( lhs_atom7(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_atom7]) ).
fof(def_lhs_atom8,axiom,
! [B,A] :
( lhs_atom8(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [A,B] :
( lhs_atom8(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [A] :
( lhs_atom9(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom9(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [B,A] :
( lhs_atom10(B,A)
<=> k2_tarski(A,B) = k2_tarski(B,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [A,B] :
( lhs_atom10(B,A)
| $false ),
inference(fold_definition,[status(thm)],[commutativity_k2_tarski_0,def_lhs_atom10]) ).
fof(to_be_clausified_11,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_12,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_tarski_0,def_lhs_atom2]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ l1_group_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom11(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_group_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> ~ l1_rlvect_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [A] :
( lhs_atom12(A)
| l2_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_rlvect_1_0,def_lhs_atom12]) ).
fof(to_be_clausified_15,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom13,axiom,
! [A] :
( lhs_atom13(A)
<=> ~ l2_struct_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [A] :
( lhs_atom13(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l2_struct_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> ~ l2_vectsp_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A] :
( lhs_atom14(A)
| ( l1_vectsp_1(A)
& l2_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[dt_l2_vectsp_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom15(A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [A] :
( lhs_atom16(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A] :
( lhs_atom16(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> ~ v1_xboole_0(k2_tarski(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A,B] :
( lhs_atom17(B,A)
| $false ),
inference(fold_definition,[status(thm)],[fc3_subset_1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [A] :
( lhs_atom18(A)
<=> ~ l1_struct_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A] :
( lhs_atom18(A)
| ? [B] :
( l1_vectsp_2(B,A)
& ~ v3_struct_0(B) ) ),
inference(fold_definition,[status(thm)],[rc9_vectsp_2_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [A,B] :
( lhs_atom19(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [B,A] :
( lhs_atom20(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom20(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [C,B,A] :
( lhs_atom21(C,B,A)
<=> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [A,B,C] :
( lhs_atom21(C,B,A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[commutativity_k8_rlvect_2_0,def_lhs_atom21]) ).
fof(to_be_clausified_25,plain,
! [A] :
( lhs_atom18(A)
| ? [B] : l1_vectsp_2(B,A) ),
inference(fold_definition,[status(thm)],[existence_l1_vectsp_2_0,def_lhs_atom18]) ).
fof(def_lhs_atom22,axiom,
! [C,B,A] :
( lhs_atom22(C,B,A)
<=> k8_rlvect_2(A,B,C) = k2_tarski(B,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [A,B,C] :
( lhs_atom22(C,B,A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[redefinition_k8_rlvect_2_0,def_lhs_atom22]) ).
fof(to_be_clausified_27,plain,
! [A] :
( lhs_atom13(A)
| m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
inference(fold_definition,[status(thm)],[dt_k1_rlvect_1_0,def_lhs_atom13]) ).
fof(def_lhs_atom23,axiom,
! [A] :
( lhs_atom23(A)
<=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [A] :
( lhs_atom23(A)
| ~ ( ~ v3_struct_0(A)
& l1_group_1(A) ) ),
inference(fold_definition,[status(thm)],[dt_k2_group_1_0,def_lhs_atom23]) ).
fof(to_be_clausified_29,plain,
! [A] :
( lhs_atom18(A)
| ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
inference(fold_definition,[status(thm)],[dt_l1_vectsp_2_0,def_lhs_atom18]) ).
fof(def_lhs_atom24,axiom,
! [A] :
( lhs_atom24(A)
<=> ~ l3_vectsp_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [A] :
( lhs_atom24(A)
| ( l1_rlvect_1(A)
& l2_vectsp_1(A) ) ),
inference(fold_definition,[status(thm)],[dt_l3_vectsp_1_0,def_lhs_atom24]) ).
fof(to_be_clausified_31,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom2]) ).
fof(to_be_clausified_32,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X1,X2] :
( lhs_atom22(X3,X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_1,axiom,
! [X3,X1,X2] :
( lhs_atom21(X3,X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_2,axiom,
! [X3,X1,X2] :
( lhs_atom4(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_3,axiom,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_4,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom18(X2)
| ! [X1] :
( l1_vectsp_2(X1,X2)
=> l1_rlvect_1(X1) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_7,axiom,
! [X2] :
( lhs_atom13(X2)
| m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_8,axiom,
! [X2] :
( lhs_atom7(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom19(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_3) ).
fof(c_0_11,axiom,
! [X2] :
( lhs_atom18(X2)
| ? [X1] : l1_vectsp_2(X1,X2) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_12,axiom,
! [X2] :
( lhs_atom18(X2)
| ? [X1] :
( l1_vectsp_2(X1,X2)
& ~ v3_struct_0(X1) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom23(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_group_1(X2) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom15(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_15,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom10(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom24(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom14(X2)
| ( l1_vectsp_1(X2)
& l2_struct_0(X2) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom13(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom12(X2)
| l2_struct_0(X2) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom11(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom6(X2)
| l1_group_1(X2) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_23,axiom,
! [X2] :
( lhs_atom9(X2)
| X2 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_24,axiom,
! [X2] :
( lhs_atom16(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_25,axiom,
! [X2] :
( lhs_atom5(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_26,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_27,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_28,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_29,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_30,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_31,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_32,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_33,plain,
! [X3,X1,X2] :
( lhs_atom22(X3,X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_34,plain,
! [X3,X1,X2] :
( lhs_atom21(X3,X1,X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_35,axiom,
! [X3,X1,X2] :
( lhs_atom4(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
c_0_2 ).
fof(c_0_36,plain,
! [X1,X2] :
( lhs_atom20(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_37,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_38,axiom,
! [X1,X2] :
( lhs_atom8(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
c_0_5 ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom18(X2)
| ! [X1] :
( l1_vectsp_2(X1,X2)
=> l1_rlvect_1(X1) ) ),
c_0_6 ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom13(X2)
| m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
c_0_7 ).
fof(c_0_41,plain,
! [X2] :
( lhs_atom7(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_42,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| r1_tarski(X2,X1) ),
c_0_9 ).
fof(c_0_43,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
c_0_10 ).
fof(c_0_44,axiom,
! [X2] :
( lhs_atom18(X2)
| ? [X1] : l1_vectsp_2(X1,X2) ),
c_0_11 ).
fof(c_0_45,plain,
! [X2] :
( lhs_atom18(X2)
| ? [X1] :
( l1_vectsp_2(X1,X2)
& ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_46,plain,
! [X2] :
( lhs_atom23(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_group_1(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_47,plain,
! [X2] :
( lhs_atom15(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_48,plain,
! [X1,X2] : lhs_atom17(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_49,plain,
! [X1,X2] : lhs_atom10(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_50,axiom,
! [X2] :
( lhs_atom24(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
c_0_17 ).
fof(c_0_51,axiom,
! [X2] :
( lhs_atom14(X2)
| ( l1_vectsp_1(X2)
& l2_struct_0(X2) ) ),
c_0_18 ).
fof(c_0_52,axiom,
! [X2] :
( lhs_atom13(X2)
| l1_struct_0(X2) ),
c_0_19 ).
fof(c_0_53,axiom,
! [X2] :
( lhs_atom12(X2)
| l2_struct_0(X2) ),
c_0_20 ).
fof(c_0_54,axiom,
! [X2] :
( lhs_atom11(X2)
| l1_struct_0(X2) ),
c_0_21 ).
fof(c_0_55,axiom,
! [X2] :
( lhs_atom6(X2)
| l1_group_1(X2) ),
c_0_22 ).
fof(c_0_56,axiom,
! [X2] :
( lhs_atom9(X2)
| X2 = k1_xboole_0 ),
c_0_23 ).
fof(c_0_57,plain,
! [X2] : lhs_atom16(X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_58,plain,
! [X2] : lhs_atom5(X2),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_59,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_60,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_61,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_62,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_63,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_64,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_65,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_66,plain,
! [X4,X5,X6] :
( lhs_atom22(X4,X5,X6)
| v3_struct_0(X6)
| ~ l1_struct_0(X6)
| ~ m1_subset_1(X5,u1_struct_0(X6))
| ~ m1_subset_1(X4,u1_struct_0(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_67,plain,
! [X4,X5,X6] :
( lhs_atom21(X4,X5,X6)
| v3_struct_0(X6)
| ~ l1_struct_0(X6)
| ~ m1_subset_1(X5,u1_struct_0(X6))
| ~ m1_subset_1(X4,u1_struct_0(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_68,plain,
! [X4,X5,X6] :
( lhs_atom4(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_35])]) ).
fof(c_0_69,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_70,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_71,plain,
! [X3,X4] :
( lhs_atom8(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_72,plain,
! [X3,X4] :
( lhs_atom18(X3)
| ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_73,plain,
! [X3] :
( lhs_atom13(X3)
| m1_subset_1(k1_rlvect_1(X3),u1_struct_0(X3)) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_74,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(X3))
| lhs_atom7(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| lhs_atom7(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])])]) ).
fof(c_0_75,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_76,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_77,plain,
! [X3] :
( lhs_atom18(X3)
| l1_vectsp_2(esk3_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_78,plain,
! [X3] :
( ( l1_vectsp_2(esk2_1(X3),X3)
| lhs_atom18(X3) )
& ( ~ v3_struct_0(esk2_1(X3))
| lhs_atom18(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])])]) ).
fof(c_0_79,plain,
! [X3] :
( lhs_atom23(X3)
| v3_struct_0(X3)
| ~ l1_group_1(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_80,plain,
! [X3] :
( lhs_atom15(X3)
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_81,plain,
! [X3,X4] : lhs_atom17(X3,X4),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_82,plain,
! [X3,X4] : lhs_atom10(X3,X4),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_83,plain,
! [X3] :
( ( l1_rlvect_1(X3)
| lhs_atom24(X3) )
& ( l2_vectsp_1(X3)
| lhs_atom24(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_50])]) ).
fof(c_0_84,plain,
! [X3] :
( ( l1_vectsp_1(X3)
| lhs_atom14(X3) )
& ( l2_struct_0(X3)
| lhs_atom14(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
fof(c_0_85,plain,
! [X3] :
( lhs_atom13(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_86,plain,
! [X3] :
( lhs_atom12(X3)
| l2_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_87,plain,
! [X3] :
( lhs_atom11(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_88,plain,
! [X3] :
( lhs_atom6(X3)
| l1_group_1(X3) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_89,plain,
! [X3] :
( lhs_atom9(X3)
| X3 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_90,plain,
! [X3] : lhs_atom16(X3),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_91,plain,
! [X3] : lhs_atom5(X3),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_92,plain,
lhs_atom2,
c_0_59 ).
fof(c_0_93,plain,
lhs_atom2,
c_0_60 ).
fof(c_0_94,plain,
lhs_atom2,
c_0_61 ).
fof(c_0_95,plain,
lhs_atom2,
c_0_62 ).
fof(c_0_96,plain,
lhs_atom2,
c_0_63 ).
fof(c_0_97,plain,
lhs_atom3,
c_0_64 ).
fof(c_0_98,plain,
lhs_atom2,
c_0_65 ).
cnf(c_0_99,plain,
( v3_struct_0(X2)
| lhs_atom22(X1,X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,plain,
( v3_struct_0(X2)
| lhs_atom21(X1,X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_101,plain,
( lhs_atom4(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_102,plain,
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_103,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_104,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom8(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_105,plain,
( l1_rlvect_1(X1)
| lhs_atom18(X2)
| ~ l1_vectsp_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_106,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_107,plain,
( lhs_atom7(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_108,plain,
( r1_tarski(X1,X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_109,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_110,plain,
( l1_vectsp_2(esk3_1(X1),X1)
| lhs_atom18(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_111,plain,
( lhs_atom18(X1)
| l1_vectsp_2(esk2_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_112,plain,
( lhs_atom18(X1)
| ~ v3_struct_0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_113,plain,
( lhs_atom7(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| lhs_atom23(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_115,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_116,plain,
lhs_atom17(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_117,plain,
lhs_atom10(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_118,plain,
( lhs_atom24(X1)
| l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_119,plain,
( lhs_atom24(X1)
| l2_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_120,plain,
( lhs_atom14(X1)
| l1_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_121,plain,
( lhs_atom14(X1)
| l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_122,plain,
( l1_struct_0(X1)
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_123,plain,
( l2_struct_0(X1)
| lhs_atom12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_124,plain,
( l1_struct_0(X1)
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_125,plain,
( l1_group_1(X1)
| lhs_atom6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_126,plain,
( X1 = k1_xboole_0
| lhs_atom9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_127,plain,
lhs_atom16(X1),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_128,plain,
lhs_atom5(X1),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_129,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_130,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_131,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_132,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_133,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_134,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_135,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_136,plain,
( v3_struct_0(X2)
| lhs_atom22(X1,X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
c_0_99,
[final] ).
cnf(c_0_137,plain,
( v3_struct_0(X2)
| lhs_atom21(X1,X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
c_0_100,
[final] ).
cnf(c_0_138,plain,
( lhs_atom4(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_101,
[final] ).
cnf(c_0_139,plain,
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_102,
[final] ).
cnf(c_0_140,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_103,
[final] ).
cnf(c_0_141,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom8(X2,X1) ),
c_0_104,
[final] ).
cnf(c_0_142,plain,
( l1_rlvect_1(X1)
| lhs_atom18(X2)
| ~ l1_vectsp_2(X1,X2) ),
c_0_105,
[final] ).
cnf(c_0_143,plain,
( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| lhs_atom13(X1) ),
c_0_106,
[final] ).
cnf(c_0_144,plain,
( lhs_atom7(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
c_0_107,
[final] ).
cnf(c_0_145,plain,
( r1_tarski(X1,X2)
| lhs_atom19(X2,X1) ),
c_0_108,
[final] ).
cnf(c_0_146,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_109,
[final] ).
cnf(c_0_147,plain,
( l1_vectsp_2(esk3_1(X1),X1)
| lhs_atom18(X1) ),
c_0_110,
[final] ).
cnf(c_0_148,plain,
( lhs_atom18(X1)
| l1_vectsp_2(esk2_1(X1),X1) ),
c_0_111,
[final] ).
cnf(c_0_149,plain,
( lhs_atom18(X1)
| ~ v3_struct_0(esk2_1(X1)) ),
c_0_112,
[final] ).
cnf(c_0_150,plain,
( lhs_atom7(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_113,
[final] ).
cnf(c_0_151,plain,
( v3_struct_0(X1)
| lhs_atom23(X1)
| ~ l1_group_1(X1) ),
c_0_114,
[final] ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
c_0_115,
[final] ).
cnf(c_0_153,plain,
lhs_atom17(X1,X2),
c_0_116,
[final] ).
cnf(c_0_154,plain,
lhs_atom10(X1,X2),
c_0_117,
[final] ).
cnf(c_0_155,plain,
( lhs_atom24(X1)
| l1_rlvect_1(X1) ),
c_0_118,
[final] ).
cnf(c_0_156,plain,
( lhs_atom24(X1)
| l2_vectsp_1(X1) ),
c_0_119,
[final] ).
cnf(c_0_157,plain,
( lhs_atom14(X1)
| l1_vectsp_1(X1) ),
c_0_120,
[final] ).
cnf(c_0_158,plain,
( lhs_atom14(X1)
| l2_struct_0(X1) ),
c_0_121,
[final] ).
cnf(c_0_159,plain,
( l1_struct_0(X1)
| lhs_atom13(X1) ),
c_0_122,
[final] ).
cnf(c_0_160,plain,
( l2_struct_0(X1)
| lhs_atom12(X1) ),
c_0_123,
[final] ).
cnf(c_0_161,plain,
( l1_struct_0(X1)
| lhs_atom11(X1) ),
c_0_124,
[final] ).
cnf(c_0_162,plain,
( l1_group_1(X1)
| lhs_atom6(X1) ),
c_0_125,
[final] ).
cnf(c_0_163,plain,
( X1 = k1_xboole_0
| lhs_atom9(X1) ),
c_0_126,
[final] ).
cnf(c_0_164,plain,
lhs_atom16(X1),
c_0_127,
[final] ).
cnf(c_0_165,plain,
lhs_atom5(X1),
c_0_128,
[final] ).
cnf(c_0_166,plain,
lhs_atom2,
c_0_129,
[final] ).
cnf(c_0_167,plain,
lhs_atom2,
c_0_130,
[final] ).
cnf(c_0_168,plain,
lhs_atom2,
c_0_131,
[final] ).
cnf(c_0_169,plain,
lhs_atom2,
c_0_132,
[final] ).
cnf(c_0_170,plain,
lhs_atom2,
c_0_133,
[final] ).
cnf(c_0_171,plain,
lhs_atom3,
c_0_134,
[final] ).
cnf(c_0_172,plain,
lhs_atom2,
c_0_135,
[final] ).
% End CNF derivation
cnf(c_0_136_0,axiom,
( k8_rlvect_2(X2,X3,X1) = k2_tarski(X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom22]) ).
cnf(c_0_137_0,axiom,
( k8_rlvect_2(X2,X3,X1) = k8_rlvect_2(X2,X1,X3)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom21]) ).
cnf(c_0_138_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_138,def_lhs_atom4]) ).
cnf(c_0_139_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom20]) ).
cnf(c_0_140_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom1]) ).
cnf(c_0_141_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom8]) ).
cnf(c_0_142_0,axiom,
( ~ l1_struct_0(X2)
| l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom18]) ).
cnf(c_0_143_0,axiom,
( ~ l2_struct_0(X1)
| m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom13]) ).
cnf(c_0_144_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom7]) ).
cnf(c_0_145_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom19]) ).
cnf(c_0_146_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom1]) ).
cnf(c_0_147_0,axiom,
( ~ l1_struct_0(X1)
| l1_vectsp_2(sk1_esk3_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom18]) ).
cnf(c_0_148_0,axiom,
( ~ l1_struct_0(X1)
| l1_vectsp_2(sk1_esk2_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom18]) ).
cnf(c_0_149_0,axiom,
( ~ l1_struct_0(X1)
| ~ v3_struct_0(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom18]) ).
cnf(c_0_150_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom7]) ).
cnf(c_0_151_0,axiom,
( m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom23]) ).
cnf(c_0_152_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom15]) ).
cnf(c_0_155_0,axiom,
( ~ l3_vectsp_1(X1)
| l1_rlvect_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom24]) ).
cnf(c_0_156_0,axiom,
( ~ l3_vectsp_1(X1)
| l2_vectsp_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom24]) ).
cnf(c_0_157_0,axiom,
( ~ l2_vectsp_1(X1)
| l1_vectsp_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom14]) ).
cnf(c_0_158_0,axiom,
( ~ l2_vectsp_1(X1)
| l2_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom14]) ).
cnf(c_0_159_0,axiom,
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom13]) ).
cnf(c_0_160_0,axiom,
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom12]) ).
cnf(c_0_161_0,axiom,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom11]) ).
cnf(c_0_162_0,axiom,
( ~ l1_vectsp_1(X1)
| l1_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom6]) ).
cnf(c_0_163_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom9]) ).
cnf(c_0_153_0,axiom,
~ v1_xboole_0(k2_tarski(X2,X1)),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom17]) ).
cnf(c_0_154_0,axiom,
k2_tarski(X2,X1) = k2_tarski(X1,X2),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom10]) ).
cnf(c_0_164_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom16]) ).
cnf(c_0_165_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom5]) ).
cnf(c_0_166_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom2]) ).
cnf(c_0_167_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom2]) ).
cnf(c_0_168_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom2]) ).
cnf(c_0_169_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom2]) ).
cnf(c_0_170_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom2]) ).
cnf(c_0_171_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom3]) ).
cnf(c_0_172_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom2]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
file('<stdin>',t5_rmod_5) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( v1_finset_1(k8_rlvect_2(X1,X2,X3))
& m1_subset_1(k8_rlvect_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('<stdin>',dt_k8_rlvect_2) ).
fof(c_0_2_003,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_3_004,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)
& v1_finset_1(X2) ) ),
file('<stdin>',rc2_rlvect_2) ).
fof(c_0_4_005,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_5_006,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_6_007,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_7_008,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_8_009,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_9_010,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_10_011,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_11_012,axiom,
? [X1] :
( l2_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc4_struct_0) ).
fof(c_0_12_013,axiom,
? [X1] : l1_vectsp_1(X1),
file('<stdin>',existence_l1_vectsp_1) ).
fof(c_0_13_014,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_14_015,axiom,
? [X1] : l1_group_1(X1),
file('<stdin>',existence_l1_group_1) ).
fof(c_0_15_016,axiom,
? [X1] : l1_rlvect_1(X1),
file('<stdin>',existence_l1_rlvect_1) ).
fof(c_0_16_017,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_17_018,axiom,
? [X1] : l2_struct_0(X1),
file('<stdin>',existence_l2_struct_0) ).
fof(c_0_18_019,axiom,
? [X1] : l2_vectsp_1(X1),
file('<stdin>',existence_l2_vectsp_1) ).
fof(c_0_19_020,axiom,
? [X1] : l3_vectsp_1(X1),
file('<stdin>',existence_l3_vectsp_1) ).
fof(c_0_20_021,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
=> ( k1_rlvect_1(X1) = k2_group_1(X1)
| ( X3 != k1_rlvect_1(X2)
& X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_21_022,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( v1_finset_1(k8_rlvect_2(X1,X2,X3))
& m1_subset_1(k8_rlvect_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_22_023,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_2 ).
fof(c_0_23_024,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)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_24_025,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_4]) ).
fof(c_0_25_026,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_5 ).
fof(c_0_26_027,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_6 ).
fof(c_0_27_028,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_7 ).
fof(c_0_28_029,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_8 ).
fof(c_0_29_030,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_30_031,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_31_032,plain,
? [X1] :
( l2_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_32_033,axiom,
? [X1] : l1_vectsp_1(X1),
c_0_12 ).
fof(c_0_33_034,axiom,
? [X1] : v1_xboole_0(X1),
c_0_13 ).
fof(c_0_34_035,axiom,
? [X1] : l1_group_1(X1),
c_0_14 ).
fof(c_0_35_036,axiom,
? [X1] : l1_rlvect_1(X1),
c_0_15 ).
fof(c_0_36_037,axiom,
? [X1] : l1_struct_0(X1),
c_0_16 ).
fof(c_0_37_038,axiom,
? [X1] : l2_struct_0(X1),
c_0_17 ).
fof(c_0_38_039,axiom,
? [X1] : l2_vectsp_1(X1),
c_0_18 ).
fof(c_0_39_040,axiom,
? [X1] : l3_vectsp_1(X1),
c_0_19 ).
fof(c_0_40_041,plain,
! [X5,X6,X7,X8] :
( ( X7 != k1_rlvect_1(X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ m1_subset_1(X7,u1_struct_0(X6))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) )
& ( X8 != k1_rlvect_1(X6)
| k1_rlvect_1(X5) = k2_group_1(X5)
| ~ v1_rmod_5(k8_rlvect_2(X6,X7,X8),X5,X6)
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ m1_subset_1(X7,u1_struct_0(X6))
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v5_vectsp_2(X6,X5)
| ~ l1_vectsp_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_rlvect_1(X5)
| ~ v4_rlvect_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X5)
| ~ v4_group_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v7_vectsp_1(X5)
| ~ v8_vectsp_1(X5)
| ~ l3_vectsp_1(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_41_042,plain,
! [X4,X5,X6] :
( ( v1_finset_1(k8_rlvect_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m1_subset_1(k8_rlvect_2(X4,X5,X6),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_42_043,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_22])])])]) ).
fof(c_0_43_044,plain,
! [X3] :
( ( m1_subset_1(esk13_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk13_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( v1_finset_1(esk13_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_23])])])]) ).
fof(c_0_44_045,plain,
! [X3] :
( ( m1_subset_1(esk10_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk10_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_24])])])]) ).
fof(c_0_45_046,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
fof(c_0_46_047,plain,
! [X3] :
( m1_subset_1(esk12_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk12_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).
fof(c_0_47_048,plain,
! [X3] : m1_subset_1(esk1_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).
fof(c_0_48_049,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_28])])])]) ).
fof(c_0_49_050,plain,
~ v1_xboole_0(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_29])]) ).
fof(c_0_50_051,plain,
( l1_struct_0(esk4_0)
& ~ v3_struct_0(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
fof(c_0_51_052,plain,
( l2_struct_0(esk3_0)
& ~ v3_struct_0(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_31])]) ).
fof(c_0_52_053,plain,
l1_vectsp_1(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).
fof(c_0_53_054,plain,
v1_xboole_0(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).
fof(c_0_54_055,plain,
l1_group_1(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
fof(c_0_55_056,plain,
l1_rlvect_1(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
fof(c_0_56_057,plain,
l1_struct_0(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).
fof(c_0_57_058,plain,
l2_struct_0(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_58_059,plain,
l2_vectsp_1(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_59_060,plain,
l3_vectsp_1(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])]) ).
cnf(c_0_60_061,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_61_062,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_rlvect_1(X1) = k2_group_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_62_063,plain,
( v3_struct_0(X2)
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_63_064,plain,
( v3_struct_0(X2)
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_64_065,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65_066,plain,
( v3_struct_0(X1)
| m1_subset_1(esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66_067,plain,
( v3_struct_0(X1)
| m1_subset_1(esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_67_068,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68_069,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_69_070,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_70_071,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_71_072,plain,
( v3_struct_0(X1)
| v1_finset_1(esk13_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_72_073,plain,
m1_subset_1(esk1_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_73_074,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_74_075,plain,
v1_xboole_0(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75_076,plain,
~ v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_76_077,plain,
~ v3_struct_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77_078,plain,
~ v3_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_78_079,plain,
l1_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79_080,plain,
v1_xboole_0(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80_081,plain,
l1_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81_082,plain,
l1_rlvect_1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82_083,plain,
l1_struct_0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_83_084,plain,
l2_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_84_085,plain,
l2_vectsp_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_85_086,plain,
l1_struct_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_86_087,plain,
l2_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_87_088,plain,
l3_vectsp_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_88_089,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
c_0_60,
[final] ).
cnf(c_0_89_090,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
c_0_61,
[final] ).
cnf(c_0_90_091,plain,
( v3_struct_0(X2)
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
c_0_62,
[final] ).
cnf(c_0_91_092,plain,
( v3_struct_0(X2)
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
c_0_63,
[final] ).
cnf(c_0_92_093,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_64,
[final] ).
cnf(c_0_93_094,plain,
( v3_struct_0(X1)
| m1_subset_1(esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_65,
[final] ).
cnf(c_0_94_095,plain,
( v3_struct_0(X1)
| m1_subset_1(esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_66,
[final] ).
cnf(c_0_95_096,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_67,
[final] ).
cnf(c_0_96_097,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk13_1(X1)) ),
c_0_68,
[final] ).
cnf(c_0_97_098,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
c_0_69,
[final] ).
cnf(c_0_98_099,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
c_0_70,
[final] ).
cnf(c_0_99_100,plain,
( v3_struct_0(X1)
| v1_finset_1(esk13_1(X1))
| ~ l1_struct_0(X1) ),
c_0_71,
[final] ).
cnf(c_0_100_101,plain,
m1_subset_1(esk1_1(X1),X1),
c_0_72,
[final] ).
cnf(c_0_101_102,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_73,
[final] ).
cnf(c_0_102_103,plain,
v1_xboole_0(esk12_1(X1)),
c_0_74,
[final] ).
cnf(c_0_103_104,plain,
~ v1_xboole_0(esk11_0),
c_0_75,
[final] ).
cnf(c_0_104_105,plain,
~ v3_struct_0(esk4_0),
c_0_76,
[final] ).
cnf(c_0_105_106,plain,
~ v3_struct_0(esk3_0),
c_0_77,
[final] ).
cnf(c_0_106_107,plain,
l1_vectsp_1(esk15_0),
c_0_78,
[final] ).
cnf(c_0_107_108,plain,
v1_xboole_0(esk14_0),
c_0_79,
[final] ).
cnf(c_0_108_109,plain,
l1_group_1(esk9_0),
c_0_80,
[final] ).
cnf(c_0_109_110,plain,
l1_rlvect_1(esk8_0),
c_0_81,
[final] ).
cnf(c_0_110_111,plain,
l1_struct_0(esk7_0),
c_0_82,
[final] ).
cnf(c_0_111_112,plain,
l2_struct_0(esk6_0),
c_0_83,
[final] ).
cnf(c_0_112_113,plain,
l2_vectsp_1(esk5_0),
c_0_84,
[final] ).
cnf(c_0_113_114,plain,
l1_struct_0(esk4_0),
c_0_85,
[final] ).
cnf(c_0_114_115,plain,
l2_struct_0(esk3_0),
c_0_86,
[final] ).
cnf(c_0_115_116,plain,
l3_vectsp_1(esk2_0),
c_0_87,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_88_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_3,axiom,
( ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_4,axiom,
( ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_5,axiom,
( ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_6,axiom,
( ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_7,axiom,
( ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_8,axiom,
( ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_9,axiom,
( ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_10,axiom,
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_11,axiom,
( ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_12,axiom,
( ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_13,axiom,
( ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_14,axiom,
( ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_15,axiom,
( ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_16,axiom,
( ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_17,axiom,
( ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_18,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_19,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_20,axiom,
( ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| X3 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_21,axiom,
( X3 != k1_rlvect_1(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_2,axiom,
( k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_3,axiom,
( ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_4,axiom,
( ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_5,axiom,
( ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_6,axiom,
( ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_7,axiom,
( ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_8,axiom,
( ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_9,axiom,
( ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_10,axiom,
( ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_11,axiom,
( ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_12,axiom,
( ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_13,axiom,
( ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_14,axiom,
( ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_15,axiom,
( ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_16,axiom,
( ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_17,axiom,
( ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_18,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_19,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_20,axiom,
( ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| X4 != k1_rlvect_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_21,axiom,
( X4 != k1_rlvect_1(X2)
| ~ v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| k2_group_1(X1) = k1_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( v3_struct_0(X2)
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_4,axiom,
( ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(k8_rlvect_2(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( v3_struct_0(X2)
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( v1_finset_1(k8_rlvect_2(X2,X3,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| v3_struct_0(X2)
| ~ l1_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_4,axiom,
( ~ l1_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v1_finset_1(k8_rlvect_2(X2,X3,X1))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_93_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_1,axiom,
( m1_subset_1(sk2_esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_93_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk13_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk10_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk13_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk13_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ v1_xboole_0(sk2_esk13_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk10_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( ~ v1_xboole_0(sk2_esk10_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_99_0,axiom,
( v3_struct_0(X1)
| v1_finset_1(sk2_esk13_1(X1))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( v1_finset_1(sk2_esk13_1(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ l1_struct_0(X1)
| v1_finset_1(sk2_esk13_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_101_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_103_0,axiom,
~ v1_xboole_0(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
~ v3_struct_0(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
~ v3_struct_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_98_0,axiom,
m1_subset_1(sk2_esk12_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_100_0,axiom,
m1_subset_1(sk2_esk1_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_102_0,axiom,
v1_xboole_0(sk2_esk12_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_106_0,axiom,
l1_vectsp_1(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
v1_xboole_0(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
l1_group_1(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
l1_rlvect_1(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
l1_struct_0(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
l2_struct_0(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
l2_vectsp_1(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
l1_struct_0(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
l2_struct_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
l3_vectsp_1(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_117,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
file('<stdin>',t6_rmod_5) ).
fof(c_0_1_118,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> ( k1_rlvect_1(X1) != k2_group_1(X1)
=> ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
& ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_119,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk2_0))
& k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
& ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_120,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_121,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_122,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_123,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_124,negated_conjecture,
k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_125,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_126,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_127,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_128,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12_129,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13_130,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14_131,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15_132,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16_133,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17_134,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18_135,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19_136,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20_137,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21_138,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22_139,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23_140,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0)
| v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0) ),
c_0_3,
[final] ).
cnf(c_0_24_141,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
c_0_4,
[final] ).
cnf(c_0_25_142,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
c_0_5,
[final] ).
cnf(c_0_26_143,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
c_0_6,
[final] ).
cnf(c_0_27_144,negated_conjecture,
k2_group_1(esk1_0) != k1_rlvect_1(esk1_0),
c_0_7,
[final] ).
cnf(c_0_28_145,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_8,
[final] ).
cnf(c_0_29_146,negated_conjecture,
~ v3_struct_0(esk2_0),
c_0_9,
[final] ).
cnf(c_0_30_147,negated_conjecture,
v3_rlvect_1(esk1_0),
c_0_10,
[final] ).
cnf(c_0_31_148,negated_conjecture,
v4_rlvect_1(esk1_0),
c_0_11,
[final] ).
cnf(c_0_32_149,negated_conjecture,
v5_rlvect_1(esk1_0),
c_0_12,
[final] ).
cnf(c_0_33_150,negated_conjecture,
v6_rlvect_1(esk1_0),
c_0_13,
[final] ).
cnf(c_0_34_151,negated_conjecture,
v4_group_1(esk1_0),
c_0_14,
[final] ).
cnf(c_0_35_152,negated_conjecture,
v6_vectsp_1(esk1_0),
c_0_15,
[final] ).
cnf(c_0_36_153,negated_conjecture,
v7_vectsp_1(esk1_0),
c_0_16,
[final] ).
cnf(c_0_37_154,negated_conjecture,
v8_vectsp_1(esk1_0),
c_0_17,
[final] ).
cnf(c_0_38_155,negated_conjecture,
l3_vectsp_1(esk1_0),
c_0_18,
[final] ).
cnf(c_0_39_156,negated_conjecture,
v3_rlvect_1(esk2_0),
c_0_19,
[final] ).
cnf(c_0_40_157,negated_conjecture,
v4_rlvect_1(esk2_0),
c_0_20,
[final] ).
cnf(c_0_41_158,negated_conjecture,
v5_rlvect_1(esk2_0),
c_0_21,
[final] ).
cnf(c_0_42_159,negated_conjecture,
v6_rlvect_1(esk2_0),
c_0_22,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_145,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_38) ).
cnf(c_221,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_145]) ).
cnf(c_286,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_221]) ).
cnf(c_295,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_286]) ).
cnf(c_323,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_295]) ).
cnf(c_765,negated_conjecture,
l3_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_323]) ).
cnf(c_111,plain,
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_156_0) ).
cnf(c_703,plain,
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(copy,[status(esa)],[c_111]) ).
cnf(c_704,plain,
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) ),
inference(rewriting,[status(thm)],[c_703]) ).
cnf(c_816,plain,
l2_vectsp_1(sk3_esk1_0),
inference(resolution,[status(thm)],[c_765,c_704]) ).
cnf(c_817,plain,
l2_vectsp_1(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_816]) ).
cnf(c_109,plain,
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_158_0) ).
cnf(c_699,plain,
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ),
inference(copy,[status(esa)],[c_109]) ).
cnf(c_918,plain,
l2_struct_0(sk3_esk1_0),
inference(resolution,[status(thm)],[c_817,c_699]) ).
cnf(c_919,plain,
l2_struct_0(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_918]) ).
cnf(c_108,plain,
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_159_0) ).
cnf(c_697,plain,
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(copy,[status(esa)],[c_108]) ).
cnf(c_1886,plain,
l1_struct_0(sk3_esk1_0),
inference(resolution,[status(thm)],[c_919,c_697]) ).
cnf(c_1887,plain,
l1_struct_0(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_1886]) ).
cnf(c_123,plain,
( ~ l1_vectsp_2(X0,X1)
| l1_rlvect_1(X0)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_142_0) ).
cnf(c_727,plain,
( ~ l1_vectsp_2(X0,X1)
| l1_rlvect_1(X0)
| ~ l1_struct_0(X1) ),
inference(copy,[status(esa)],[c_123]) ).
cnf(c_728,plain,
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| l1_rlvect_1(X0) ),
inference(rewriting,[status(thm)],[c_727]) ).
cnf(c_2082,plain,
( ~ l1_vectsp_2(X0,sk3_esk1_0)
| l1_rlvect_1(X0) ),
inference(resolution,[status(thm)],[c_1887,c_728]) ).
cnf(c_2083,plain,
( ~ l1_vectsp_2(X0,sk3_esk1_0)
| l1_rlvect_1(X0) ),
inference(rewriting,[status(thm)],[c_2082]) ).
cnf(c_136,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_26) ).
cnf(c_203,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_277,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_304,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_277]) ).
cnf(c_314,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_304]) ).
cnf(c_747,negated_conjecture,
l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_314]) ).
cnf(c_2351,plain,
l1_rlvect_1(sk3_esk2_0),
inference(resolution,[status(thm)],[c_2083,c_747]) ).
cnf(c_2352,plain,
l1_rlvect_1(sk3_esk2_0),
inference(rewriting,[status(thm)],[c_2351]) ).
cnf(c_107,plain,
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_160_0) ).
cnf(c_695,plain,
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(copy,[status(esa)],[c_107]) ).
cnf(c_696,plain,
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(rewriting,[status(thm)],[c_695]) ).
cnf(c_2359,plain,
l2_struct_0(sk3_esk2_0),
inference(resolution,[status(thm)],[c_2352,c_696]) ).
cnf(c_2360,plain,
l2_struct_0(sk3_esk2_0),
inference(rewriting,[status(thm)],[c_2359]) ).
cnf(c_122,plain,
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_143_0) ).
cnf(c_725,plain,
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(copy,[status(esa)],[c_122]) ).
cnf(c_2363,plain,
m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0)),
inference(resolution,[status(thm)],[c_2360,c_725]) ).
cnf(c_2366,plain,
m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0)),
inference(rewriting,[status(thm)],[c_2363]) ).
cnf(c_146,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_39) ).
cnf(c_223,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_146]) ).
cnf(c_287,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_223]) ).
cnf(c_294,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_287]) ).
cnf(c_324,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_294]) ).
cnf(c_767,negated_conjecture,
v3_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_324]) ).
cnf(c_39,plain,
( X0 != k1_rlvect_1(X1)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X0),X3,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X3)
| v3_struct_0(X1)
| k2_group_1(X3) = k1_rlvect_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_89_17) ).
cnf(c_559,plain,
( X0 != k1_rlvect_1(X1)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X0),X3,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X3)
| v3_struct_0(X1)
| k2_group_1(X3) = k1_rlvect_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(copy,[status(esa)],[c_39]) ).
cnf(c_560,plain,
( v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X3,X2),X0,X1)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X2 != k1_rlvect_1(X1) ),
inference(rewriting,[status(thm)],[c_559]) ).
cnf(c_821,plain,
( v3_struct_0(sk3_esk2_0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(sk3_esk2_0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sk3_esk2_0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sk3_esk2_0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X1 != k1_rlvect_1(sk3_esk2_0) ),
inference(resolution,[status(thm)],[c_767,c_560]) ).
cnf(c_824,plain,
( v3_struct_0(sk3_esk2_0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(sk3_esk2_0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sk3_esk2_0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sk3_esk2_0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X1 != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_821]) ).
cnf(c_147,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_40) ).
cnf(c_225,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_147]) ).
cnf(c_288,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_225]) ).
cnf(c_293,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_288]) ).
cnf(c_325,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_293]) ).
cnf(c_769,negated_conjecture,
v4_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_325]) ).
cnf(c_148,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_41) ).
cnf(c_227,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_148]) ).
cnf(c_289,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_227]) ).
cnf(c_292,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_289]) ).
cnf(c_326,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_292]) ).
cnf(c_771,negated_conjecture,
v5_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_326]) ).
cnf(c_149,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_42) ).
cnf(c_229,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_149]) ).
cnf(c_290,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_229]) ).
cnf(c_291,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_290]) ).
cnf(c_327,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_291]) ).
cnf(c_773,negated_conjecture,
v6_rlvect_1(sk3_esk2_0),
inference(copy,[status(esa)],[c_327]) ).
cnf(c_133,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_29) ).
cnf(c_197,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_274,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
inference(copy,[status(esa)],[c_197]) ).
cnf(c_307,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
inference(copy,[status(esa)],[c_274]) ).
cnf(c_311,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
inference(copy,[status(esa)],[c_307]) ).
cnf(c_741,negated_conjecture,
~ v3_struct_0(sk3_esk2_0),
inference(copy,[status(esa)],[c_311]) ).
cnf(c_1412,plain,
( v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X1 != k1_rlvect_1(sk3_esk2_0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_824,c_769,c_771,c_773,c_741]) ).
cnf(c_1413,plain,
( v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X1 != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_1412]) ).
cnf(c_17,plain,
( X0 != k1_rlvect_1(X1)
| ~ v1_rmod_5(k8_rlvect_2(X1,X0,X2),X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X3)
| v3_struct_0(X1)
| k2_group_1(X3) = k1_rlvect_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_88_17) ).
cnf(c_515,plain,
( X0 != k1_rlvect_1(X1)
| ~ v1_rmod_5(k8_rlvect_2(X1,X0,X2),X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| v3_struct_0(X3)
| v3_struct_0(X1)
| k2_group_1(X3) = k1_rlvect_1(X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X3)
| ~ l1_vectsp_2(X1,X3)
| ~ v5_vectsp_2(X1,X3)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_516,plain,
( v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v1_rmod_5(k8_rlvect_2(X1,X3,X2),X0,X1)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X3 != k1_rlvect_1(X1) ),
inference(rewriting,[status(thm)],[c_515]) ).
cnf(c_822,plain,
( v3_struct_0(sk3_esk2_0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(sk3_esk2_0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sk3_esk2_0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sk3_esk2_0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X2 != k1_rlvect_1(sk3_esk2_0) ),
inference(resolution,[status(thm)],[c_767,c_516]) ).
cnf(c_823,plain,
( v3_struct_0(sk3_esk2_0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(sk3_esk2_0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(sk3_esk2_0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(sk3_esk2_0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X2 != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_822]) ).
cnf(c_1345,plain,
( v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X2 != k1_rlvect_1(sk3_esk2_0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_823,c_769,c_771,c_773,c_741]) ).
cnf(c_1346,plain,
( v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(sk3_esk2_0,X0)
| ~ v5_vectsp_2(sk3_esk2_0,X0)
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(sk3_esk2_0))
| ~ v1_rmod_5(k8_rlvect_2(sk3_esk2_0,X2,X1),X0,sk3_esk2_0)
| k2_group_1(X0) = k1_rlvect_1(X0)
| X2 != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_1345]) ).
cnf(c_130,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_23) ).
cnf(c_191,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_271,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_191]) ).
cnf(c_310,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_271]) ).
cnf(c_328,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_310]) ).
cnf(c_775,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sk3_esk2_0,k1_rlvect_1(sk3_esk2_0),sk3_esk3_0),sk3_esk1_0,sk3_esk2_0)
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(copy,[status(esa)],[c_328]) ).
cnf(c_1364,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0)
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0)
| k1_rlvect_1(sk3_esk2_0) != k1_rlvect_1(sk3_esk2_0) ),
inference(resolution,[status(thm)],[c_1346,c_775]) ).
cnf(c_1365,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0)
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0)
| k1_rlvect_1(sk3_esk2_0) != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_1364]) ).
cnf(c_1366,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0)
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0) ),
inference(equality_resolution_simp,[status(esa)],[c_1365]) ).
cnf(c_131,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_27) ).
cnf(c_193,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_131]) ).
cnf(c_272,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_193]) ).
cnf(c_309,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_272]) ).
cnf(c_329,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_309]) ).
cnf(c_777,negated_conjecture,
k2_group_1(sk3_esk1_0) != k1_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_329]) ).
cnf(c_134,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_24) ).
cnf(c_199,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
inference(copy,[status(esa)],[c_134]) ).
cnf(c_275,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
inference(copy,[status(esa)],[c_199]) ).
cnf(c_306,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
inference(copy,[status(esa)],[c_275]) ).
cnf(c_312,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
inference(copy,[status(esa)],[c_306]) ).
cnf(c_743,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0)),
inference(copy,[status(esa)],[c_312]) ).
cnf(c_135,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_25) ).
cnf(c_201,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_135]) ).
cnf(c_276,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_201]) ).
cnf(c_305,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_276]) ).
cnf(c_313,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_305]) ).
cnf(c_745,negated_conjecture,
v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
inference(copy,[status(esa)],[c_313]) ).
cnf(c_137,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_30) ).
cnf(c_205,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_137]) ).
cnf(c_278,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_205]) ).
cnf(c_303,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_278]) ).
cnf(c_315,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_303]) ).
cnf(c_749,negated_conjecture,
v3_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_315]) ).
cnf(c_138,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_31) ).
cnf(c_207,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_138]) ).
cnf(c_279,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_207]) ).
cnf(c_302,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_279]) ).
cnf(c_316,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_302]) ).
cnf(c_751,negated_conjecture,
v4_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_316]) ).
cnf(c_139,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_32) ).
cnf(c_209,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_280,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_209]) ).
cnf(c_301,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_280]) ).
cnf(c_317,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_301]) ).
cnf(c_753,negated_conjecture,
v5_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_317]) ).
cnf(c_140,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_33) ).
cnf(c_211,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_140]) ).
cnf(c_281,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_211]) ).
cnf(c_300,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_281]) ).
cnf(c_318,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_300]) ).
cnf(c_755,negated_conjecture,
v6_rlvect_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_318]) ).
cnf(c_141,negated_conjecture,
v4_group_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_34) ).
cnf(c_213,negated_conjecture,
v4_group_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_141]) ).
cnf(c_282,negated_conjecture,
v4_group_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_213]) ).
cnf(c_299,negated_conjecture,
v4_group_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_282]) ).
cnf(c_319,negated_conjecture,
v4_group_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_299]) ).
cnf(c_757,negated_conjecture,
v4_group_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_319]) ).
cnf(c_142,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_35) ).
cnf(c_215,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_283,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_215]) ).
cnf(c_298,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_283]) ).
cnf(c_320,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_298]) ).
cnf(c_759,negated_conjecture,
v6_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_320]) ).
cnf(c_143,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_36) ).
cnf(c_217,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_143]) ).
cnf(c_284,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_217]) ).
cnf(c_297,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_284]) ).
cnf(c_321,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_297]) ).
cnf(c_761,negated_conjecture,
v7_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_321]) ).
cnf(c_144,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_37) ).
cnf(c_219,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_144]) ).
cnf(c_285,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_219]) ).
cnf(c_296,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_285]) ).
cnf(c_322,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_296]) ).
cnf(c_763,negated_conjecture,
v8_vectsp_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_322]) ).
cnf(c_132,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_036b2c.p',c_0_28) ).
cnf(c_195,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
inference(copy,[status(esa)],[c_132]) ).
cnf(c_273,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
inference(copy,[status(esa)],[c_195]) ).
cnf(c_308,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
inference(copy,[status(esa)],[c_273]) ).
cnf(c_330,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
inference(copy,[status(esa)],[c_308]) ).
cnf(c_779,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
inference(copy,[status(esa)],[c_330]) ).
cnf(c_1383,plain,
( ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1366,c_777,c_743,c_745,c_747,c_749,c_751,c_753,c_755,c_757,c_759,c_761,c_763,c_765,c_779]) ).
cnf(c_1384,plain,
( ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| v1_rmod_5(k8_rlvect_2(sk3_esk2_0,sk3_esk3_0,k1_rlvect_1(sk3_esk2_0)),sk3_esk1_0,sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_1383]) ).
cnf(c_1433,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0)
| k1_rlvect_1(sk3_esk2_0) != k1_rlvect_1(sk3_esk2_0) ),
inference(resolution,[status(thm)],[c_1413,c_1384]) ).
cnf(c_1434,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0)
| k1_rlvect_1(sk3_esk2_0) != k1_rlvect_1(sk3_esk2_0) ),
inference(rewriting,[status(thm)],[c_1433]) ).
cnf(c_1435,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_vectsp_1(sk3_esk1_0)
| ~ v8_vectsp_1(sk3_esk1_0)
| ~ v7_vectsp_1(sk3_esk1_0)
| ~ v6_vectsp_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v6_rlvect_1(sk3_esk1_0)
| ~ v5_rlvect_1(sk3_esk1_0)
| ~ v4_rlvect_1(sk3_esk1_0)
| ~ v3_rlvect_1(sk3_esk1_0)
| ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
| ~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk2_0))
| k2_group_1(sk3_esk1_0) = k1_rlvect_1(sk3_esk1_0) ),
inference(equality_resolution_simp,[status(esa)],[c_1434]) ).
cnf(c_2047,plain,
~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_1435,c_777,c_743,c_745,c_747,c_749,c_751,c_753,c_755,c_757,c_759,c_761,c_763,c_765,c_779]) ).
cnf(c_2048,plain,
~ m1_subset_1(k1_rlvect_1(sk3_esk2_0),u1_struct_0(sk3_esk2_0)),
inference(rewriting,[status(thm)],[c_2047]) ).
cnf(c_2520,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2366,c_2048]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 06:20:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0e54a9.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_036b2c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_81d632 | 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_0e54a9.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
% 0.19/0.54 % --inst_prop_sim_new false
% 0.19/0.54 % --inst_orphan_elimination true
% 0.19/0.54 % --inst_learning_loop_flag true
% 0.19/0.54 % --inst_learning_start 3000
% 0.19/0.54 % --inst_learning_factor 2
% 0.19/0.54 % --inst_start_prop_sim_after_learn 3
% 0.19/0.54 % --inst_sel_renew solver
% 0.19/0.54 % --inst_lit_activity_flag true
% 0.19/0.54 % --inst_out_proof true
% 0.19/0.54
% 0.19/0.54 % ------ Resolution Options
% 0.19/0.54
% 0.19/0.54 % --resolution_flag true
% 0.19/0.54 % --res_lit_sel kbo_max
% 0.19/0.54 % --res_to_prop_solver none
% 0.19/0.54 % --res_prop_simpl_new false
% 0.19/0.54 % --res_prop_simpl_given false
% 0.19/0.54 % --res_passive_queue_type priority_queues
% 0.19/0.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.54 % --res_passive_queues_freq [15;5]
% 0.19/0.54 % --res_forward_subs full
% 0.19/0.54 % --res_backward_subs full
% 0.19/0.54 % --res_forward_subs_resolution true
% 0.19/0.54 % --res_backward_subs_resolution true
% 0.19/0.54 % --res_orphan_elimination false
% 0.19/0.54 % --res_time_limit 1000.
% 0.19/0.54 % --res_out_proof true
% 0.19/0.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_0e54a9.s
% 0.19/0.54 % --modulo true
% 0.19/0.54
% 0.19/0.54 % ------ Combination Options
% 0.19/0.54
% 0.19/0.54 % --comb_res_mult 1000
% 0.19/0.54 % --comb_inst_mult 300
% 0.19/0.54 % ------
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 % ------ Proving...
% 0.19/0.54 %
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 % Resolution empty clause
% 0.19/0.54
% 0.19/0.54 % ------ Statistics
% 0.19/0.54
% 0.19/0.54 % ------ General
% 0.19/0.54
% 0.19/0.54 % num_of_input_clauses: 150
% 0.19/0.54 % num_of_input_neg_conjectures: 20
% 0.19/0.54 % num_of_splits: 0
% 0.19/0.54 % num_of_split_atoms: 0
% 0.19/0.54 % num_of_sem_filtered_clauses: 0
% 0.19/0.54 % num_of_subtypes: 0
% 0.19/0.54 % monotx_restored_types: 0
% 0.19/0.54 % sat_num_of_epr_types: 0
% 0.19/0.54 % sat_num_of_non_cyclic_types: 0
% 0.19/0.54 % sat_guarded_non_collapsed_types: 0
% 0.19/0.54 % is_epr: 0
% 0.19/0.54 % is_horn: 0
% 0.19/0.54 % has_eq: 1
% 0.19/0.54 % num_pure_diseq_elim: 0
% 0.19/0.54 % simp_replaced_by: 0
% 0.19/0.54 % res_preprocessed: 40
% 0.19/0.54 % prep_upred: 0
% 0.19/0.54 % prep_unflattend: 0
% 0.19/0.54 % pred_elim_cands: 0
% 0.19/0.54 % pred_elim: 0
% 0.19/0.54 % pred_elim_cl: 0
% 0.19/0.54 % pred_elim_cycles: 0
% 0.19/0.54 % forced_gc_time: 0
% 0.19/0.54 % gc_basic_clause_elim: 0
% 0.19/0.54 % parsing_time: 0.011
% 0.19/0.54 % sem_filter_time: 0.
% 0.19/0.54 % pred_elim_time: 0.
% 0.19/0.54 % out_proof_time: 0.003
% 0.19/0.54 % monotx_time: 0.
% 0.19/0.54 % subtype_inf_time: 0.
% 0.19/0.54 % unif_index_cands_time: 0.
% 0.19/0.54 % unif_index_add_time: 0.
% 0.19/0.54 % total_time: 0.132
% 0.19/0.54 % num_of_symbols: 77
% 0.19/0.54 % num_of_terms: 848
% 0.19/0.54
% 0.19/0.54 % ------ Propositional Solver
% 0.19/0.54
% 0.19/0.54 % prop_solver_calls: 1
% 0.19/0.54 % prop_fast_solver_calls: 63
% 0.19/0.54 % prop_num_of_clauses: 127
% 0.19/0.54 % prop_preprocess_simplified: 553
% 0.19/0.54 % prop_fo_subsumed: 0
% 0.19/0.54 % prop_solver_time: 0.
% 0.19/0.54 % prop_fast_solver_time: 0.
% 0.19/0.54 % prop_unsat_core_time: 0.
% 0.19/0.54
% 0.19/0.54 % ------ QBF
% 0.19/0.54
% 0.19/0.54 % qbf_q_res: 0
% 0.19/0.54 % qbf_num_tautologies: 0
% 0.19/0.54 % qbf_prep_cycles: 0
% 0.19/0.54
% 0.19/0.54 % ------ BMC1
% 0.19/0.54
% 0.19/0.54 % bmc1_current_bound: -1
% 0.19/0.54 % bmc1_last_solved_bound: -1
% 0.19/0.54 % bmc1_unsat_core_size: -1
% 0.19/0.54 % bmc1_unsat_core_parents_size: -1
% 0.19/0.54 % bmc1_merge_next_fun: 0
% 0.19/0.54 % bmc1_unsat_core_clauses_time: 0.
% 0.19/0.54
% 0.19/0.54 % ------ Instantiation
% 0.19/0.54
% 0.19/0.54 % inst_num_of_clauses: 145
% 0.19/0.54 % inst_num_in_passive: 0
% 0.19/0.54 % inst_num_in_active: 0
% 0.19/0.54 % inst_num_in_unprocessed: 150
% 0.19/0.54 % inst_num_of_loops: 0
% 0.19/0.54 % inst_num_of_learning_restarts: 0
% 0.19/0.54 % inst_num_moves_active_passive: 0
% 0.19/0.54 % inst_lit_activity: 0
% 0.19/0.54 % inst_lit_activity_moves: 0
% 0.19/0.54 % inst_num_tautologies: 0
% 0.19/0.54 % inst_num_prop_implied: 0
% 0.19/0.54 % inst_num_existing_simplified: 0
% 0.19/0.54 % inst_num_eq_res_simplified: 0
% 0.19/0.54 % inst_num_child_elim: 0
% 0.19/0.54 % inst_num_of_dismatching_blockings: 0
% 0.19/0.54 % inst_num_of_non_proper_insts: 0
% 0.19/0.54 % inst_num_of_duplicates: 0
% 0.19/0.54 % inst_inst_num_from_inst_to_res: 0
% 0.19/0.54 % inst_dismatching_checking_time: 0.
% 0.19/0.54
% 0.19/0.54 % ------ Resolution
% 0.19/0.54
% 0.19/0.54 % res_num_of_clauses: 299
% 0.19/0.54 % res_num_in_passive: 51
% 0.19/0.54 % res_num_in_active: 163
% 0.19/0.54 % res_num_of_loops: 182
% 0.19/0.54 % res_forward_subset_subsumed: 98
% 0.19/0.54 % res_backward_subset_subsumed: 5
% 0.19/0.54 % res_forward_subsumed: 30
% 0.19/0.54 % res_backward_subsumed: 0
% 0.19/0.54 % res_forward_subsumption_resolution: 138
% 0.19/0.54 % res_backward_subsumption_resolution: 41
% 0.19/0.54 % res_clause_to_clause_subsumption: 317
% 0.19/0.54 % res_orphan_elimination: 0
% 0.19/0.54 % res_tautology_del: 0
% 0.19/0.54 % res_num_eq_res_simplified: 3
% 0.19/0.54 % res_num_sel_changes: 0
% 0.19/0.54 % res_moves_from_active_to_pass: 0
% 0.19/0.54
% 0.19/0.54 % Status Unsatisfiable
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------