TSTP Solution File: ALG218+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG218+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 04:23:31 EST 2010
% Result : Theorem 0.38s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 14
% Syntax : Number of formulae : 170 ( 34 unt; 0 def)
% Number of atoms : 1504 ( 122 equ)
% Maximal formula atoms : 38 ( 8 avg)
% Number of connectives : 2017 ( 683 ~;1057 |; 241 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 227 ( 4 sgn 132 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',t7_boole) ).
fof(15,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k7_rlvect_2(X1,X2) = k1_tarski(X2) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',redefinition_k7_rlvect_2) ).
fof(18,axiom,
! [X1] :
( l3_vectsp_1(X1)
=> ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',dt_l3_vectsp_1) ).
fof(19,axiom,
! [X1] :
( l1_rlvect_1(X1)
=> l2_struct_0(X1) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',dt_l1_rlvect_1) ).
fof(21,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v7_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& ~ v10_vectsp_1(X2)
& v2_vectsp_2(X2)
& l3_vectsp_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
=> ( r2_hidden(X1,X4)
=> r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1) ) ) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',t10_rmod_5) ).
fof(29,axiom,
! [X1] :
( l2_struct_0(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',dt_l2_struct_0) ).
fof(37,axiom,
v1_xboole_0(k1_xboole_0),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',fc1_xboole_0) ).
fof(41,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_vectsp_2(X2,X1)
=> l1_rlvect_1(X2) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',dt_l1_vectsp_2) ).
fof(49,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)))
=> ~ ( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
& X3 != k1_xboole_0
& X3 != k7_rlvect_2(X2,k1_rlvect_1(X2)) ) ) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',t12_rmod_5) ).
fof(62,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',d10_xboole_0) ).
fof(71,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',t4_subset) ).
fof(75,axiom,
! [X1,X2] :
( X2 = k1_tarski(X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> X3 = X1 ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',d1_tarski) ).
fof(76,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& l3_vectsp_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ( r1_rlvect_1(k1_rmod_2(X2,X3),X1)
<=> X1 = k1_rlvect_1(X3) ) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',t46_rmod_2) ).
fof(79,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/tmp/tmpiqKsmH/sel_ALG218+1.p_1',d3_tarski) ).
fof(80,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)))
=> ~ ( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
& X3 != k1_xboole_0
& X3 != k7_rlvect_2(X2,k1_rlvect_1(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[49]) ).
fof(88,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k7_rlvect_2(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(91,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v7_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& ~ v10_vectsp_1(X2)
& v2_vectsp_2(X2)
& l3_vectsp_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
=> ( r2_hidden(X1,X4)
=> r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(99,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)))
=> ~ ( k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
& X3 != k1_xboole_0
& X3 != k7_rlvect_2(X2,k1_rlvect_1(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[80,theory(equality)]) ).
fof(107,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v4_group_1(X2)
& v6_vectsp_1(X2)
& v7_vectsp_1(X2)
& v8_vectsp_1(X2)
& l3_vectsp_1(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X2)
& l1_vectsp_2(X3,X2) )
=> ( r1_rlvect_1(k1_rmod_2(X2,X3),X1)
<=> X1 = k1_rlvect_1(X3) ) ) ),
inference(fof_simplification,[status(thm)],[76,theory(equality)]) ).
fof(114,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(115,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[114]) ).
cnf(116,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(159,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k7_rlvect_2(X1,X2) = k1_tarski(X2) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(160,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k7_rlvect_2(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[159]) ).
cnf(161,plain,
( k7_rlvect_2(X1,X2) = k1_tarski(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[160]) ).
fof(176,plain,
! [X1] :
( ~ l3_vectsp_1(X1)
| ( l1_rlvect_1(X1)
& l2_vectsp_1(X1) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(177,plain,
! [X2] :
( ~ l3_vectsp_1(X2)
| ( l1_rlvect_1(X2)
& l2_vectsp_1(X2) ) ),
inference(variable_rename,[status(thm)],[176]) ).
fof(178,plain,
! [X2] :
( ( l1_rlvect_1(X2)
| ~ l3_vectsp_1(X2) )
& ( l2_vectsp_1(X2)
| ~ l3_vectsp_1(X2) ) ),
inference(distribute,[status(thm)],[177]) ).
cnf(180,plain,
( l1_rlvect_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(181,plain,
! [X1] :
( ~ l1_rlvect_1(X1)
| l2_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(182,plain,
! [X2] :
( ~ l1_rlvect_1(X2)
| l2_struct_0(X2) ),
inference(variable_rename,[status(thm)],[181]) ).
cnf(183,plain,
( l2_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(split_conjunct,[status(thm)],[182]) ).
fof(190,plain,
! [X1,X2] :
( v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| v10_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| ~ l3_vectsp_1(X2)
| ! [X3] :
( v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ r2_hidden(X1,X4)
| r1_rlvect_1(k1_rmod_5(X2,X3,X4),X1) ) ) ),
inference(fof_nnf,[status(thm)],[91]) ).
fof(191,plain,
! [X5,X6] :
( v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v7_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| v10_vectsp_1(X6)
| ~ v2_vectsp_2(X6)
| ~ l3_vectsp_1(X6)
| ! [X7] :
( v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6)
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X7)))
| ~ r2_hidden(X5,X8)
| r1_rlvect_1(k1_rmod_5(X6,X7,X8),X5) ) ) ),
inference(variable_rename,[status(thm)],[190]) ).
fof(192,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X7)))
| ~ r2_hidden(X5,X8)
| r1_rlvect_1(k1_rmod_5(X6,X7,X8),X5)
| v3_struct_0(X7)
| ~ v3_rlvect_1(X7)
| ~ v4_rlvect_1(X7)
| ~ v5_rlvect_1(X7)
| ~ v6_rlvect_1(X7)
| ~ v5_vectsp_2(X7,X6)
| ~ l1_vectsp_2(X7,X6)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v7_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| v10_vectsp_1(X6)
| ~ v2_vectsp_2(X6)
| ~ l3_vectsp_1(X6) ),
inference(shift_quantors,[status(thm)],[191]) ).
cnf(193,plain,
( v10_vectsp_1(X1)
| v3_struct_0(X1)
| v3_struct_0(X2)
| r1_rlvect_1(k1_rmod_5(X1,X2,X3),X4)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_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)
| ~ r2_hidden(X4,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[192]) ).
fof(225,plain,
! [X1] :
( ~ l2_struct_0(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(226,plain,
! [X2] :
( ~ l2_struct_0(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[225]) ).
cnf(227,plain,
( l1_struct_0(X1)
| ~ l2_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[226]) ).
cnf(249,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[37]) ).
fof(259,plain,
! [X1] :
( ~ l1_struct_0(X1)
| ! [X2] :
( ~ l1_vectsp_2(X2,X1)
| l1_rlvect_1(X2) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(260,plain,
! [X3] :
( ~ l1_struct_0(X3)
| ! [X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4) ) ),
inference(variable_rename,[status(thm)],[259]) ).
fof(261,plain,
! [X3,X4] :
( ~ l1_vectsp_2(X4,X3)
| l1_rlvect_1(X4)
| ~ l1_struct_0(X3) ),
inference(shift_quantors,[status(thm)],[260]) ).
cnf(262,plain,
( l1_rlvect_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[261]) ).
fof(294,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)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(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)))
& k1_rmod_5(X1,X2,X3) = k1_rmod_2(X1,X2)
& X3 != k1_xboole_0
& X3 != k7_rlvect_2(X2,k1_rlvect_1(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(295,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v3_rlvect_1(X4)
& v4_rlvect_1(X4)
& v5_rlvect_1(X4)
& v6_rlvect_1(X4)
& v4_group_1(X4)
& v7_group_1(X4)
& v6_vectsp_1(X4)
& v7_vectsp_1(X4)
& v8_vectsp_1(X4)
& ~ v10_vectsp_1(X4)
& v2_vectsp_2(X4)
& l3_vectsp_1(X4)
& ? [X5] :
( ~ v3_struct_0(X5)
& v3_rlvect_1(X5)
& v4_rlvect_1(X5)
& v5_rlvect_1(X5)
& v6_rlvect_1(X5)
& v5_vectsp_2(X5,X4)
& l1_vectsp_2(X5,X4)
& ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
& k1_rmod_5(X4,X5,X6) = k1_rmod_2(X4,X5)
& X6 != k1_xboole_0
& X6 != k7_rlvect_2(X5,k1_rlvect_1(X5)) ) ) ),
inference(variable_rename,[status(thm)],[294]) ).
fof(296,negated_conjecture,
( ~ v3_struct_0(esk14_0)
& v3_rlvect_1(esk14_0)
& v4_rlvect_1(esk14_0)
& v5_rlvect_1(esk14_0)
& v6_rlvect_1(esk14_0)
& v4_group_1(esk14_0)
& v7_group_1(esk14_0)
& v6_vectsp_1(esk14_0)
& v7_vectsp_1(esk14_0)
& v8_vectsp_1(esk14_0)
& ~ v10_vectsp_1(esk14_0)
& v2_vectsp_2(esk14_0)
& l3_vectsp_1(esk14_0)
& ~ 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)
& v5_vectsp_2(esk15_0,esk14_0)
& l1_vectsp_2(esk15_0,esk14_0)
& m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))
& k1_rmod_5(esk14_0,esk15_0,esk16_0) = k1_rmod_2(esk14_0,esk15_0)
& esk16_0 != k1_xboole_0
& esk16_0 != k7_rlvect_2(esk15_0,k1_rlvect_1(esk15_0)) ),
inference(skolemize,[status(esa)],[295]) ).
cnf(297,negated_conjecture,
esk16_0 != k7_rlvect_2(esk15_0,k1_rlvect_1(esk15_0)),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(298,negated_conjecture,
esk16_0 != k1_xboole_0,
inference(split_conjunct,[status(thm)],[296]) ).
cnf(299,negated_conjecture,
k1_rmod_5(esk14_0,esk15_0,esk16_0) = k1_rmod_2(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(300,negated_conjecture,
m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0))),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(301,negated_conjecture,
l1_vectsp_2(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(302,negated_conjecture,
v5_vectsp_2(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(303,negated_conjecture,
v6_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(304,negated_conjecture,
v5_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(305,negated_conjecture,
v4_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(306,negated_conjecture,
v3_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(307,negated_conjecture,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(308,negated_conjecture,
l3_vectsp_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(309,negated_conjecture,
v2_vectsp_2(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(310,negated_conjecture,
~ v10_vectsp_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(311,negated_conjecture,
v8_vectsp_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(312,negated_conjecture,
v7_vectsp_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(313,negated_conjecture,
v6_vectsp_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(314,negated_conjecture,
v7_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(315,negated_conjecture,
v4_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(316,negated_conjecture,
v6_rlvect_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(317,negated_conjecture,
v5_rlvect_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(318,negated_conjecture,
v4_rlvect_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(319,negated_conjecture,
v3_rlvect_1(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
cnf(320,negated_conjecture,
~ v3_struct_0(esk14_0),
inference(split_conjunct,[status(thm)],[296]) ).
fof(373,plain,
! [X1,X2] :
( ( X1 != X2
| ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) )
& ( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1)
| X1 = X2 ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(374,plain,
! [X3,X4] :
( ( X3 != X4
| ( r1_tarski(X3,X4)
& r1_tarski(X4,X3) ) )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(variable_rename,[status(thm)],[373]) ).
fof(375,plain,
! [X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[374]) ).
cnf(376,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[375]) ).
fof(401,plain,
! [X1,X2,X3] :
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(X1,X3) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(402,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[401]) ).
cnf(403,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[402]) ).
fof(423,plain,
! [X1,X2] :
( ( X2 != k1_tarski(X1)
| ! [X3] :
( ( ~ r2_hidden(X3,X2)
| X3 = X1 )
& ( X3 != X1
| r2_hidden(X3,X2) ) ) )
& ( ? [X3] :
( ( ~ r2_hidden(X3,X2)
| X3 != X1 )
& ( r2_hidden(X3,X2)
| X3 = X1 ) )
| X2 = k1_tarski(X1) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(424,plain,
! [X4,X5] :
( ( X5 != k1_tarski(X4)
| ! [X6] :
( ( ~ r2_hidden(X6,X5)
| X6 = X4 )
& ( X6 != X4
| r2_hidden(X6,X5) ) ) )
& ( ? [X7] :
( ( ~ r2_hidden(X7,X5)
| X7 != X4 )
& ( r2_hidden(X7,X5)
| X7 = X4 ) )
| X5 = k1_tarski(X4) ) ),
inference(variable_rename,[status(thm)],[423]) ).
fof(425,plain,
! [X4,X5] :
( ( X5 != k1_tarski(X4)
| ! [X6] :
( ( ~ r2_hidden(X6,X5)
| X6 = X4 )
& ( X6 != X4
| r2_hidden(X6,X5) ) ) )
& ( ( ( ~ r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) != X4 )
& ( r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) = X4 ) )
| X5 = k1_tarski(X4) ) ),
inference(skolemize,[status(esa)],[424]) ).
fof(426,plain,
! [X4,X5,X6] :
( ( ( ( ~ r2_hidden(X6,X5)
| X6 = X4 )
& ( X6 != X4
| r2_hidden(X6,X5) ) )
| X5 != k1_tarski(X4) )
& ( ( ( ~ r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) != X4 )
& ( r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) = X4 ) )
| X5 = k1_tarski(X4) ) ),
inference(shift_quantors,[status(thm)],[425]) ).
fof(427,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,X5)
| X6 = X4
| X5 != k1_tarski(X4) )
& ( X6 != X4
| r2_hidden(X6,X5)
| X5 != k1_tarski(X4) )
& ( ~ r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) != X4
| X5 = k1_tarski(X4) )
& ( r2_hidden(esk28_2(X4,X5),X5)
| esk28_2(X4,X5) = X4
| X5 = k1_tarski(X4) ) ),
inference(distribute,[status(thm)],[426]) ).
cnf(428,plain,
( X1 = k1_tarski(X2)
| esk28_2(X2,X1) = X2
| r2_hidden(esk28_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[427]) ).
cnf(429,plain,
( X1 = k1_tarski(X2)
| esk28_2(X2,X1) != X2
| ~ r2_hidden(esk28_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[427]) ).
fof(432,plain,
! [X1,X2] :
( v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ! [X3] :
( v3_struct_0(X3)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2)
| ( ( ~ r1_rlvect_1(k1_rmod_2(X2,X3),X1)
| X1 = k1_rlvect_1(X3) )
& ( X1 != k1_rlvect_1(X3)
| r1_rlvect_1(k1_rmod_2(X2,X3),X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[107]) ).
fof(433,plain,
! [X4,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)
| ( ( ~ r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| X4 = k1_rlvect_1(X6) )
& ( X4 != k1_rlvect_1(X6)
| r1_rlvect_1(k1_rmod_2(X5,X6),X4) ) ) ) ),
inference(variable_rename,[status(thm)],[432]) ).
fof(434,plain,
! [X4,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)
| ( ( ~ r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| X4 = k1_rlvect_1(X6) )
& ( X4 != k1_rlvect_1(X6)
| r1_rlvect_1(k1_rmod_2(X5,X6),X4) ) )
| 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)],[433]) ).
fof(435,plain,
! [X4,X5,X6] :
( ( ~ r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| X4 = k1_rlvect_1(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) )
& ( X4 != k1_rlvect_1(X6)
| r1_rlvect_1(k1_rmod_2(X5,X6),X4)
| 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)],[434]) ).
cnf(437,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| X3 = k1_rlvect_1(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)
| ~ r1_rlvect_1(k1_rmod_2(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[435]) ).
fof(450,plain,
! [X1,X2] :
( ( ~ r1_tarski(X1,X2)
| ! [X3] :
( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) )
& ( ? [X3] :
( r2_hidden(X3,X1)
& ~ r2_hidden(X3,X2) )
| r1_tarski(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(451,plain,
! [X4,X5] :
( ( ~ r1_tarski(X4,X5)
| ! [X6] :
( ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5) ) )
& ( ? [X7] :
( r2_hidden(X7,X4)
& ~ r2_hidden(X7,X5) )
| r1_tarski(X4,X5) ) ),
inference(variable_rename,[status(thm)],[450]) ).
fof(452,plain,
! [X4,X5] :
( ( ~ r1_tarski(X4,X5)
| ! [X6] :
( ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5) ) )
& ( ( r2_hidden(esk30_2(X4,X5),X4)
& ~ r2_hidden(esk30_2(X4,X5),X5) )
| r1_tarski(X4,X5) ) ),
inference(skolemize,[status(esa)],[451]) ).
fof(453,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5)
| ~ r1_tarski(X4,X5) )
& ( ( r2_hidden(esk30_2(X4,X5),X4)
& ~ r2_hidden(esk30_2(X4,X5),X5) )
| r1_tarski(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[452]) ).
fof(454,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5)
| ~ r1_tarski(X4,X5) )
& ( r2_hidden(esk30_2(X4,X5),X4)
| r1_tarski(X4,X5) )
& ( ~ r2_hidden(esk30_2(X4,X5),X5)
| r1_tarski(X4,X5) ) ),
inference(distribute,[status(thm)],[453]) ).
cnf(456,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk30_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[454]) ).
cnf(467,plain,
( l1_struct_0(X1)
| ~ l1_rlvect_1(X1) ),
inference(spm,[status(thm)],[227,183,theory(equality)]) ).
cnf(483,negated_conjecture,
( l1_rlvect_1(esk15_0)
| ~ l1_struct_0(esk14_0) ),
inference(spm,[status(thm)],[262,301,theory(equality)]) ).
cnf(491,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk15_0))
| ~ r2_hidden(X1,esk16_0) ),
inference(spm,[status(thm)],[403,300,theory(equality)]) ).
cnf(506,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[116,456,theory(equality)]) ).
cnf(526,negated_conjecture,
( v3_struct_0(esk15_0)
| k1_tarski(k1_rlvect_1(esk15_0)) != esk16_0
| ~ l1_struct_0(esk15_0)
| ~ m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[297,161,theory(equality)]) ).
cnf(528,negated_conjecture,
( k1_tarski(k1_rlvect_1(esk15_0)) != esk16_0
| ~ l1_struct_0(esk15_0)
| ~ m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0)) ),
inference(sr,[status(thm)],[526,307,theory(equality)]) ).
cnf(618,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| ~ m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))
| ~ l1_vectsp_2(esk15_0,esk14_0)
| ~ v5_vectsp_2(esk15_0,esk14_0)
| ~ l3_vectsp_1(esk14_0)
| ~ v2_vectsp_2(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(spm,[status(thm)],[193,299,theory(equality)]) ).
cnf(619,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| ~ l1_vectsp_2(esk15_0,esk14_0)
| ~ v5_vectsp_2(esk15_0,esk14_0)
| ~ l3_vectsp_1(esk14_0)
| ~ v2_vectsp_2(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[618,300,theory(equality)]) ).
cnf(620,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| ~ v5_vectsp_2(esk15_0,esk14_0)
| ~ l3_vectsp_1(esk14_0)
| ~ v2_vectsp_2(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[619,301,theory(equality)]) ).
cnf(621,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| ~ l3_vectsp_1(esk14_0)
| ~ v2_vectsp_2(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[620,302,theory(equality)]) ).
cnf(622,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| ~ v2_vectsp_2(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[621,308,theory(equality)]) ).
cnf(623,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[622,309,theory(equality)]) ).
cnf(624,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[623,311,theory(equality)]) ).
cnf(625,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk14_0)
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[624,312,theory(equality)]) ).
cnf(626,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v7_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[625,313,theory(equality)]) ).
cnf(627,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[626,314,theory(equality)]) ).
cnf(628,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[627,315,theory(equality)]) ).
cnf(629,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[628,303,theory(equality)]) ).
cnf(630,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[629,316,theory(equality)]) ).
cnf(631,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[630,304,theory(equality)]) ).
cnf(632,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[631,317,theory(equality)]) ).
cnf(633,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[632,305,theory(equality)]) ).
cnf(634,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[633,318,theory(equality)]) ).
cnf(635,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk14_0) ),
inference(rw,[status(thm)],[634,306,theory(equality)]) ).
cnf(636,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[635,319,theory(equality)]) ).
cnf(637,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v10_vectsp_1(esk14_0)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(cn,[status(thm)],[636,theory(equality)]) ).
cnf(638,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(sr,[status(thm)],[637,310,theory(equality)]) ).
cnf(639,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(sr,[status(thm)],[638,320,theory(equality)]) ).
cnf(640,negated_conjecture,
( r1_rlvect_1(k1_rmod_2(esk14_0,esk15_0),X1)
| ~ r2_hidden(X1,esk16_0) ),
inference(sr,[status(thm)],[639,307,theory(equality)]) ).
cnf(663,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[376,506,theory(equality)]) ).
cnf(808,plain,
( l1_struct_0(X1)
| ~ l3_vectsp_1(X1) ),
inference(spm,[status(thm)],[467,180,theory(equality)]) ).
cnf(848,negated_conjecture,
( l1_struct_0(esk15_0)
| ~ l1_struct_0(esk14_0) ),
inference(spm,[status(thm)],[467,483,theory(equality)]) ).
cnf(893,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ l1_vectsp_2(esk15_0,esk14_0)
| ~ v5_vectsp_2(esk15_0,esk14_0)
| ~ l3_vectsp_1(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(spm,[status(thm)],[437,640,theory(equality)]) ).
cnf(894,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| ~ v5_vectsp_2(esk15_0,esk14_0)
| ~ l3_vectsp_1(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[893,301,theory(equality)]) ).
cnf(895,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| ~ l3_vectsp_1(esk14_0)
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[894,302,theory(equality)]) ).
cnf(896,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| ~ v8_vectsp_1(esk14_0)
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[895,308,theory(equality)]) ).
cnf(897,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| ~ v7_vectsp_1(esk14_0)
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[896,311,theory(equality)]) ).
cnf(898,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| ~ v6_vectsp_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[897,312,theory(equality)]) ).
cnf(899,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk14_0)
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[898,313,theory(equality)]) ).
cnf(900,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk15_0)
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[899,315,theory(equality)]) ).
cnf(901,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v6_rlvect_1(esk14_0)
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[900,303,theory(equality)]) ).
cnf(902,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk15_0)
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[901,316,theory(equality)]) ).
cnf(903,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v5_rlvect_1(esk14_0)
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[902,304,theory(equality)]) ).
cnf(904,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk15_0)
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[903,317,theory(equality)]) ).
cnf(905,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_rlvect_1(esk14_0)
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[904,305,theory(equality)]) ).
cnf(906,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk15_0)
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[905,318,theory(equality)]) ).
cnf(907,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk14_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[906,306,theory(equality)]) ).
cnf(908,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ r2_hidden(X1,esk16_0) ),
inference(rw,[status(thm)],[907,319,theory(equality)]) ).
cnf(909,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk14_0)
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(cn,[status(thm)],[908,theory(equality)]) ).
cnf(910,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| v3_struct_0(esk15_0)
| ~ r2_hidden(X1,esk16_0) ),
inference(sr,[status(thm)],[909,320,theory(equality)]) ).
cnf(911,negated_conjecture,
( k1_rlvect_1(esk15_0) = X1
| ~ r2_hidden(X1,esk16_0) ),
inference(sr,[status(thm)],[910,307,theory(equality)]) ).
cnf(913,negated_conjecture,
( k1_rlvect_1(esk15_0) = esk30_2(esk16_0,X1)
| r1_tarski(esk16_0,X1) ),
inference(spm,[status(thm)],[911,456,theory(equality)]) ).
cnf(914,negated_conjecture,
( k1_rlvect_1(esk15_0) = esk28_2(X1,esk16_0)
| esk28_2(X1,esk16_0) = X1
| k1_tarski(X1) = esk16_0 ),
inference(spm,[status(thm)],[911,428,theory(equality)]) ).
cnf(915,negated_conjecture,
( r1_tarski(esk16_0,X1)
| r2_hidden(k1_rlvect_1(esk15_0),esk16_0) ),
inference(spm,[status(thm)],[456,913,theory(equality)]) ).
cnf(930,negated_conjecture,
( esk16_0 = X1
| r2_hidden(k1_rlvect_1(esk15_0),esk16_0)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[663,915,theory(equality)]) ).
cnf(932,negated_conjecture,
( m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0))
| r1_tarski(esk16_0,X1) ),
inference(spm,[status(thm)],[491,915,theory(equality)]) ).
cnf(938,negated_conjecture,
( esk16_0 = X1
| m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[663,932,theory(equality)]) ).
cnf(1032,negated_conjecture,
( esk16_0 = k1_xboole_0
| m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0)) ),
inference(spm,[status(thm)],[938,249,theory(equality)]) ).
cnf(1034,negated_conjecture,
m1_subset_1(k1_rlvect_1(esk15_0),u1_struct_0(esk15_0)),
inference(sr,[status(thm)],[1032,298,theory(equality)]) ).
cnf(1183,negated_conjecture,
( esk28_2(X2,esk16_0) = X2
| k1_tarski(X2) = esk16_0
| k1_rlvect_1(esk15_0) != X2 ),
inference(ef,[status(thm)],[914,theory(equality)]) ).
cnf(1204,negated_conjecture,
( k1_tarski(X1) = esk16_0
| ~ r2_hidden(X1,esk16_0)
| k1_rlvect_1(esk15_0) != X1 ),
inference(spm,[status(thm)],[429,1183,theory(equality)]) ).
cnf(1268,negated_conjecture,
( esk16_0 = k1_xboole_0
| r2_hidden(k1_rlvect_1(esk15_0),esk16_0) ),
inference(spm,[status(thm)],[930,249,theory(equality)]) ).
cnf(1270,negated_conjecture,
r2_hidden(k1_rlvect_1(esk15_0),esk16_0),
inference(sr,[status(thm)],[1268,298,theory(equality)]) ).
cnf(1316,negated_conjecture,
( k1_tarski(X1) = esk16_0
| ~ r2_hidden(X1,esk16_0) ),
inference(csr,[status(thm)],[1204,911]) ).
cnf(1397,negated_conjecture,
( k1_tarski(k1_rlvect_1(esk15_0)) != esk16_0
| ~ l1_struct_0(esk15_0)
| $false ),
inference(rw,[status(thm)],[528,1034,theory(equality)]) ).
cnf(1398,negated_conjecture,
( k1_tarski(k1_rlvect_1(esk15_0)) != esk16_0
| ~ l1_struct_0(esk15_0) ),
inference(cn,[status(thm)],[1397,theory(equality)]) ).
cnf(1399,negated_conjecture,
( ~ l1_struct_0(esk15_0)
| ~ r2_hidden(k1_rlvect_1(esk15_0),esk16_0) ),
inference(spm,[status(thm)],[1398,1316,theory(equality)]) ).
cnf(1400,negated_conjecture,
( ~ l1_struct_0(esk15_0)
| $false ),
inference(rw,[status(thm)],[1399,1270,theory(equality)]) ).
cnf(1401,negated_conjecture,
~ l1_struct_0(esk15_0),
inference(cn,[status(thm)],[1400,theory(equality)]) ).
cnf(1403,negated_conjecture,
~ l1_struct_0(esk14_0),
inference(spm,[status(thm)],[1401,848,theory(equality)]) ).
cnf(1404,negated_conjecture,
~ l3_vectsp_1(esk14_0),
inference(spm,[status(thm)],[1403,808,theory(equality)]) ).
cnf(1405,negated_conjecture,
$false,
inference(rw,[status(thm)],[1404,308,theory(equality)]) ).
cnf(1406,negated_conjecture,
$false,
inference(cn,[status(thm)],[1405,theory(equality)]) ).
cnf(1407,negated_conjecture,
$false,
1406,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG218+1.p
% --creating new selector for []
% -running prover on /tmp/tmpiqKsmH/sel_ALG218+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG218+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG218+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG218+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
%
%------------------------------------------------------------------------------