%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG215+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 04:22:42 EST 2010
% Result : Theorem 3.20s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 96 ( 28 unt; 0 def)
% Number of atoms : 1194 ( 41 equ)
% Maximal formula atoms : 82 ( 12 avg)
% Number of connectives : 1775 ( 677 ~; 850 |; 214 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 144 ( 5 sgn 89 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( v1_xboole_0(k1_subset_1(X1))
& m1_subset_1(k1_subset_1(X1),k1_zfmisc_1(X1)) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',dt_k1_subset_1) ).
fof(11,axiom,
! [X1,X2,X3] :
( ( ~ 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)
& ~ 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)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> m1_rmod_4(X4,X1,X2) ) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',dt_m2_rmod_4) ).
fof(22,axiom,
! [X1] :
( r1_tarski(X1,k1_xboole_0)
=> X1 = k1_xboole_0 ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',t3_xboole_1) ).
fof(51,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) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X2)),X1,X2) ) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',t4_rmod_5) ).
fof(59,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_rmod_4(X4,X1,X2)
=> ( m2_rmod_4(X4,X1,X2,X3)
<=> r1_tarski(k2_rmod_4(X1,X2,X4),X3) ) ) ) ) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',d7_rmod_4) ).
fof(70,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',rc2_subset_1) ).
fof(75,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_rmod_5(X3,X1,X2)
<=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
=> k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',d1_rmod_5) ).
fof(76,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/tmp/tmprFkcrn/sel_ALG215+1.p_1',t6_boole) ).
fof(78,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) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X2)),X1,X2) ) ),
inference(assume_negation,[status(cth)],[51]) ).
fof(81,plain,
! [X1,X2,X3] :
( ( ~ 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)
& ~ 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)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> m1_rmod_4(X4,X1,X2) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(98,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) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X2)),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[78,theory(equality)]) ).
fof(101,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_rmod_4(X4,X1,X2)
=> ( m2_rmod_4(X4,X1,X2,X3)
<=> r1_tarski(k2_rmod_4(X1,X2,X4),X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[59,theory(equality)]) ).
fof(107,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v1_rmod_5(X3,X1,X2)
<=> ! [X4] :
( m2_rmod_4(X4,X1,X2,X3)
=> ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
=> k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[75,theory(equality)]) ).
fof(119,plain,
! [X2] :
( v1_xboole_0(k1_subset_1(X2))
& m1_subset_1(k1_subset_1(X2),k1_zfmisc_1(X2)) ),
inference(variable_rename,[status(thm)],[5]) ).
cnf(121,plain,
v1_xboole_0(k1_subset_1(X1)),
inference(split_conjunct,[status(thm)],[119]) ).
fof(138,plain,
! [X1,X2,X3] :
( 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)
| 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| m1_rmod_4(X4,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(139,plain,
! [X5,X6,X7] :
( 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)
| 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)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ! [X8] :
( ~ m2_rmod_4(X8,X5,X6,X7)
| m1_rmod_4(X8,X5,X6) ) ),
inference(variable_rename,[status(thm)],[138]) ).
fof(140,plain,
! [X5,X6,X7,X8] :
( ~ m2_rmod_4(X8,X5,X6,X7)
| m1_rmod_4(X8,X5,X6)
| 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)
| 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)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6))) ),
inference(shift_quantors,[status(thm)],[139]) ).
cnf(141,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| m1_rmod_4(X4,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ 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)
| ~ m2_rmod_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(184,plain,
! [X1] :
( ~ r1_tarski(X1,k1_xboole_0)
| X1 = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(185,plain,
! [X2] :
( ~ r1_tarski(X2,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k1_xboole_0) ),
inference(split_conjunct,[status(thm)],[185]) ).
fof(282,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)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X2)),X1,X2) ) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(283,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v4_group_1(X3)
& v6_vectsp_1(X3)
& v7_vectsp_1(X3)
& v8_vectsp_1(X3)
& l3_vectsp_1(X3)
& ? [X4] :
( ~ v3_struct_0(X4)
& v3_rlvect_1(X4)
& v4_rlvect_1(X4)
& v5_rlvect_1(X4)
& v6_rlvect_1(X4)
& v5_vectsp_2(X4,X3)
& l1_vectsp_2(X4,X3)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X4)),X3,X4) ) ),
inference(variable_rename,[status(thm)],[282]) ).
fof(284,negated_conjecture,
( ~ v3_struct_0(esk15_0)
& v3_rlvect_1(esk15_0)
& v4_rlvect_1(esk15_0)
& v5_rlvect_1(esk15_0)
& v6_rlvect_1(esk15_0)
& v4_group_1(esk15_0)
& v6_vectsp_1(esk15_0)
& v7_vectsp_1(esk15_0)
& v8_vectsp_1(esk15_0)
& l3_vectsp_1(esk15_0)
& ~ v3_struct_0(esk16_0)
& v3_rlvect_1(esk16_0)
& v4_rlvect_1(esk16_0)
& v5_rlvect_1(esk16_0)
& v6_rlvect_1(esk16_0)
& v5_vectsp_2(esk16_0,esk15_0)
& l1_vectsp_2(esk16_0,esk15_0)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(esk16_0)),esk15_0,esk16_0) ),
inference(skolemize,[status(esa)],[283]) ).
cnf(285,negated_conjecture,
~ v1_rmod_5(k1_subset_1(u1_struct_0(esk16_0)),esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(286,negated_conjecture,
l1_vectsp_2(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(287,negated_conjecture,
v5_vectsp_2(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(288,negated_conjecture,
v6_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(289,negated_conjecture,
v5_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(290,negated_conjecture,
v4_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(291,negated_conjecture,
v3_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(292,negated_conjecture,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(293,negated_conjecture,
l3_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(294,negated_conjecture,
v8_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(295,negated_conjecture,
v7_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(296,negated_conjecture,
v6_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(297,negated_conjecture,
v4_group_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(298,negated_conjecture,
v6_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(299,negated_conjecture,
v5_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(300,negated_conjecture,
v4_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(301,negated_conjecture,
v3_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
cnf(302,negated_conjecture,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[284]) ).
fof(327,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,k1_zfmisc_1(u1_struct_0(X2)))
| ! [X4] :
( ~ m1_rmod_4(X4,X1,X2)
| ( ( ~ m2_rmod_4(X4,X1,X2,X3)
| r1_tarski(k2_rmod_4(X1,X2,X4),X3) )
& ( ~ r1_tarski(k2_rmod_4(X1,X2,X4),X3)
| m2_rmod_4(X4,X1,X2,X3) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(328,plain,
! [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)
| ! [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)
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ! [X8] :
( ~ m1_rmod_4(X8,X5,X6)
| ( ( ~ m2_rmod_4(X8,X5,X6,X7)
| r1_tarski(k2_rmod_4(X5,X6,X8),X7) )
& ( ~ r1_tarski(k2_rmod_4(X5,X6,X8),X7)
| m2_rmod_4(X8,X5,X6,X7) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[327]) ).
fof(329,plain,
! [X5,X6,X7,X8] :
( ~ m1_rmod_4(X8,X5,X6)
| ( ( ~ m2_rmod_4(X8,X5,X6,X7)
| r1_tarski(k2_rmod_4(X5,X6,X8),X7) )
& ( ~ r1_tarski(k2_rmod_4(X5,X6,X8),X7)
| m2_rmod_4(X8,X5,X6,X7) ) )
| ~ m1_subset_1(X7,k1_zfmisc_1(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(shift_quantors,[status(thm)],[328]) ).
fof(330,plain,
! [X5,X6,X7,X8] :
( ( ~ m2_rmod_4(X8,X5,X6,X7)
| r1_tarski(k2_rmod_4(X5,X6,X8),X7)
| ~ m1_rmod_4(X8,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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) )
& ( ~ r1_tarski(k2_rmod_4(X5,X6,X8),X7)
| m2_rmod_4(X8,X5,X6,X7)
| ~ m1_rmod_4(X8,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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)],[329]) ).
cnf(332,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(k2_rmod_4(X1,X2,X4),X3)
| ~ 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,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_rmod_4(X4,X1,X2)
| ~ m2_rmod_4(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[330]) ).
fof(358,plain,
! [X3] :
? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X3))
& v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(359,plain,
! [X3] :
( m1_subset_1(esk25_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk25_1(X3)) ),
inference(skolemize,[status(esa)],[358]) ).
cnf(360,plain,
v1_xboole_0(esk25_1(X1)),
inference(split_conjunct,[status(thm)],[359]) ).
cnf(361,plain,
m1_subset_1(esk25_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[359]) ).
fof(379,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,k1_zfmisc_1(u1_struct_0(X2)))
| ( ( ~ v1_rmod_5(X3,X1,X2)
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
| k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) )
& ( ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
& k2_rmod_4(X1,X2,X4) != k1_xboole_0 )
| v1_rmod_5(X3,X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[107]) ).
fof(380,plain,
! [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)
| ! [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)
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ( ( ~ v1_rmod_5(X7,X5,X6)
| ! [X8] :
( ~ m2_rmod_4(X8,X5,X6,X7)
| k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
| k2_rmod_4(X5,X6,X8) = k1_xboole_0 ) )
& ( ? [X9] :
( m2_rmod_4(X9,X5,X6,X7)
& k5_rmod_4(X5,X6,X9) = k1_rlvect_1(X6)
& k2_rmod_4(X5,X6,X9) != k1_xboole_0 )
| v1_rmod_5(X7,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[379]) ).
fof(381,plain,
! [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)
| ! [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)
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ( ( ~ v1_rmod_5(X7,X5,X6)
| ! [X8] :
( ~ m2_rmod_4(X8,X5,X6,X7)
| k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
| k2_rmod_4(X5,X6,X8) = k1_xboole_0 ) )
& ( ( m2_rmod_4(esk28_3(X5,X6,X7),X5,X6,X7)
& k5_rmod_4(X5,X6,esk28_3(X5,X6,X7)) = k1_rlvect_1(X6)
& k2_rmod_4(X5,X6,esk28_3(X5,X6,X7)) != k1_xboole_0 )
| v1_rmod_5(X7,X5,X6) ) ) ) ) ),
inference(skolemize,[status(esa)],[380]) ).
fof(382,plain,
! [X5,X6,X7,X8] :
( ( ( ~ m2_rmod_4(X8,X5,X6,X7)
| k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
| k2_rmod_4(X5,X6,X8) = k1_xboole_0
| ~ v1_rmod_5(X7,X5,X6) )
& ( ( m2_rmod_4(esk28_3(X5,X6,X7),X5,X6,X7)
& k5_rmod_4(X5,X6,esk28_3(X5,X6,X7)) = k1_rlvect_1(X6)
& k2_rmod_4(X5,X6,esk28_3(X5,X6,X7)) != k1_xboole_0 )
| v1_rmod_5(X7,X5,X6) ) )
| ~ m1_subset_1(X7,k1_zfmisc_1(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(shift_quantors,[status(thm)],[381]) ).
fof(383,plain,
! [X5,X6,X7,X8] :
( ( ~ m2_rmod_4(X8,X5,X6,X7)
| k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
| k2_rmod_4(X5,X6,X8) = k1_xboole_0
| ~ v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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) )
& ( m2_rmod_4(esk28_3(X5,X6,X7),X5,X6,X7)
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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) )
& ( k5_rmod_4(X5,X6,esk28_3(X5,X6,X7)) = k1_rlvect_1(X6)
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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) )
& ( k2_rmod_4(X5,X6,esk28_3(X5,X6,X7)) != k1_xboole_0
| v1_rmod_5(X7,X5,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(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)],[382]) ).
cnf(384,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| ~ 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,k1_zfmisc_1(u1_struct_0(X2)))
| k2_rmod_4(X1,X2,esk28_3(X1,X2,X3)) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[383]) ).
cnf(386,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| m2_rmod_4(esk28_3(X1,X2,X3),X1,X2,X3)
| ~ 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,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[383]) ).
fof(388,plain,
! [X1] :
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[76]) ).
fof(389,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[388]) ).
cnf(390,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[389]) ).
cnf(396,plain,
k1_xboole_0 = k1_subset_1(X1),
inference(spm,[status(thm)],[390,121,theory(equality)]) ).
cnf(397,plain,
k1_xboole_0 = esk25_1(X1),
inference(spm,[status(thm)],[390,360,theory(equality)]) ).
cnf(485,plain,
( r1_tarski(k2_rmod_4(X1,X2,X4),X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_rmod_4(X4,X1,X2,X3)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[332,141]) ).
cnf(486,plain,
( k1_xboole_0 = k2_rmod_4(X1,X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[186,485,theory(equality)]) ).
cnf(496,negated_conjecture,
~ v1_rmod_5(k1_xboole_0,esk15_0,esk16_0),
inference(rw,[status(thm)],[285,396,theory(equality)]) ).
cnf(514,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[361,397,theory(equality)]) ).
cnf(1982,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| $false ),
inference(rw,[status(thm)],[486,514,theory(equality)]) ).
cnf(1983,plain,
( k2_rmod_4(X1,X2,X3) = k1_xboole_0
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_rmod_4(X3,X1,X2,k1_xboole_0)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[1982,theory(equality)]) ).
cnf(1985,plain,
( k2_rmod_4(X1,X2,esk28_3(X1,X2,k1_xboole_0)) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(k1_xboole_0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[1983,386,theory(equality)]) ).
cnf(1988,plain,
( k2_rmod_4(X1,X2,esk28_3(X1,X2,k1_xboole_0)) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(k1_xboole_0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| $false ),
inference(rw,[status(thm)],[1985,514,theory(equality)]) ).
cnf(1989,plain,
( k2_rmod_4(X1,X2,esk28_3(X1,X2,k1_xboole_0)) = k1_xboole_0
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_rmod_5(k1_xboole_0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[1988,theory(equality)]) ).
cnf(33970,plain,
( v1_rmod_5(k1_xboole_0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[384,1989,theory(equality)]) ).
cnf(33991,plain,
( v1_rmod_5(k1_xboole_0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| $false ),
inference(rw,[status(thm)],[33970,514,theory(equality)]) ).
cnf(33992,plain,
( v1_rmod_5(k1_xboole_0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(cn,[status(thm)],[33991,theory(equality)]) ).
cnf(34004,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ l1_vectsp_2(esk16_0,esk15_0)
| ~ v5_vectsp_2(esk16_0,esk15_0)
| ~ l3_vectsp_1(esk15_0)
| ~ v8_vectsp_1(esk15_0)
| ~ v7_vectsp_1(esk15_0)
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(spm,[status(thm)],[496,33992,theory(equality)]) ).
cnf(34005,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| ~ v5_vectsp_2(esk16_0,esk15_0)
| ~ l3_vectsp_1(esk15_0)
| ~ v8_vectsp_1(esk15_0)
| ~ v7_vectsp_1(esk15_0)
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34004,286,theory(equality)]) ).
cnf(34006,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| ~ l3_vectsp_1(esk15_0)
| ~ v8_vectsp_1(esk15_0)
| ~ v7_vectsp_1(esk15_0)
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34005,287,theory(equality)]) ).
cnf(34007,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| ~ v8_vectsp_1(esk15_0)
| ~ v7_vectsp_1(esk15_0)
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34006,293,theory(equality)]) ).
cnf(34008,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk15_0)
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34007,294,theory(equality)]) ).
cnf(34009,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk15_0)
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34008,295,theory(equality)]) ).
cnf(34010,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk15_0)
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34009,296,theory(equality)]) ).
cnf(34011,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk16_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34010,297,theory(equality)]) ).
cnf(34012,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34011,288,theory(equality)]) ).
cnf(34013,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk16_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34012,298,theory(equality)]) ).
cnf(34014,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34013,289,theory(equality)]) ).
cnf(34015,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk16_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34014,299,theory(equality)]) ).
cnf(34016,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34015,290,theory(equality)]) ).
cnf(34017,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34016,300,theory(equality)]) ).
cnf(34018,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk15_0) ),
inference(rw,[status(thm)],[34017,291,theory(equality)]) ).
cnf(34019,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[34018,301,theory(equality)]) ).
cnf(34020,negated_conjecture,
( v3_struct_0(esk16_0)
| v3_struct_0(esk15_0) ),
inference(cn,[status(thm)],[34019,theory(equality)]) ).
cnf(34021,negated_conjecture,
v3_struct_0(esk15_0),
inference(sr,[status(thm)],[34020,292,theory(equality)]) ).
cnf(34022,negated_conjecture,
$false,
inference(sr,[status(thm)],[34021,302,theory(equality)]) ).
cnf(34023,negated_conjecture,
$false,
34022,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG215+1.p
% --creating new selector for []
% -running prover on /tmp/tmprFkcrn/sel_ALG215+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG215+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG215+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG215+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------