TSTP Solution File: ALG214+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG214+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 04:17:27 EST 2010
% Result : Theorem 4.37s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 74 ( 25 unt; 0 def)
% Number of atoms : 1065 ( 31 equ)
% Maximal formula atoms : 82 ( 14 avg)
% Number of connectives : 1564 ( 573 ~; 766 |; 186 &)
% ( 2 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 129 ( 0 sgn 65 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,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_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X5] :
( m2_rmod_4(X5,X1,X2,X3)
=> ( r1_tarski(X3,X4)
=> m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
file('/tmp/tmpJzoTPz/sel_ALG214+1.p_1',t25_rmod_4) ).
fof(46,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
file('/tmp/tmpJzoTPz/sel_ALG214+1.p_1',t2_rmod_5) ).
fof(73,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/tmpJzoTPz/sel_ALG214+1.p_1',d1_rmod_5) ).
fof(76,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(80,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_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X5] :
( m2_rmod_4(X5,X1,X2,X3)
=> ( r1_tarski(X3,X4)
=> m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(94,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,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2) )
=> v1_rmod_5(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[76,theory(equality)]) ).
fof(105,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)],[73,theory(equality)]) ).
fof(140,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_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ! [X5] :
( ~ m2_rmod_4(X5,X1,X2,X3)
| ~ r1_tarski(X3,X4)
| m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(141,plain,
! [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)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(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)))
| ! [X9] :
( ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X7)))
| ! [X10] :
( ~ m2_rmod_4(X10,X6,X7,X8)
| ~ r1_tarski(X8,X9)
| m2_rmod_4(X10,X6,X7,X9) ) ) ) ) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X6,X7,X8,X9,X10] :
( ~ m2_rmod_4(X10,X6,X7,X8)
| ~ r1_tarski(X8,X9)
| m2_rmod_4(X10,X6,X7,X9)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X7)))
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(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)
| v3_struct_0(X6)
| ~ v3_rlvect_1(X6)
| ~ v4_rlvect_1(X6)
| ~ v5_rlvect_1(X6)
| ~ v6_rlvect_1(X6)
| ~ v4_group_1(X6)
| ~ v6_vectsp_1(X6)
| ~ v7_vectsp_1(X6)
| ~ v8_vectsp_1(X6)
| ~ l3_vectsp_1(X6) ),
inference(shift_quantors,[status(thm)],[141]) ).
cnf(143,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_rmod_4(X5,X1,X2,X4)
| ~ 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_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X3,X4)
| ~ m2_rmod_4(X5,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(264,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,k1_zfmisc_1(u1_struct_0(X2)))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
& r1_tarski(X3,X4)
& v1_rmod_5(X4,X1,X2)
& ~ v1_rmod_5(X3,X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(265,negated_conjecture,
? [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_subset_1(X8,k1_zfmisc_1(u1_struct_0(X6)))
& r1_tarski(X7,X8)
& v1_rmod_5(X8,X5,X6)
& ~ v1_rmod_5(X7,X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[264]) ).
fof(266,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)
& m1_subset_1(esk17_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
& m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
& r1_tarski(esk17_0,esk18_0)
& v1_rmod_5(esk18_0,esk15_0,esk16_0)
& ~ v1_rmod_5(esk17_0,esk15_0,esk16_0) ),
inference(skolemize,[status(esa)],[265]) ).
cnf(267,negated_conjecture,
~ v1_rmod_5(esk17_0,esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(268,negated_conjecture,
v1_rmod_5(esk18_0,esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(269,negated_conjecture,
r1_tarski(esk17_0,esk18_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(270,negated_conjecture,
m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0))),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(271,negated_conjecture,
m1_subset_1(esk17_0,k1_zfmisc_1(u1_struct_0(esk16_0))),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(272,negated_conjecture,
l1_vectsp_2(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(273,negated_conjecture,
v5_vectsp_2(esk16_0,esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(274,negated_conjecture,
v6_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(275,negated_conjecture,
v5_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(276,negated_conjecture,
v4_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(277,negated_conjecture,
v3_rlvect_1(esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(278,negated_conjecture,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(279,negated_conjecture,
l3_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(280,negated_conjecture,
v8_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(281,negated_conjecture,
v7_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(282,negated_conjecture,
v6_vectsp_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(283,negated_conjecture,
v4_group_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(284,negated_conjecture,
v6_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(285,negated_conjecture,
v5_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(286,negated_conjecture,
v4_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(287,negated_conjecture,
v3_rlvect_1(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
cnf(288,negated_conjecture,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[266]) ).
fof(373,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)],[105]) ).
fof(374,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)],[373]) ).
fof(375,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(esk30_3(X5,X6,X7),X5,X6,X7)
& k5_rmod_4(X5,X6,esk30_3(X5,X6,X7)) = k1_rlvect_1(X6)
& k2_rmod_4(X5,X6,esk30_3(X5,X6,X7)) != k1_xboole_0 )
| v1_rmod_5(X7,X5,X6) ) ) ) ) ),
inference(skolemize,[status(esa)],[374]) ).
fof(376,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(esk30_3(X5,X6,X7),X5,X6,X7)
& k5_rmod_4(X5,X6,esk30_3(X5,X6,X7)) = k1_rlvect_1(X6)
& k2_rmod_4(X5,X6,esk30_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)],[375]) ).
fof(377,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(esk30_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,esk30_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,esk30_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)],[376]) ).
cnf(378,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,esk30_3(X1,X2,X3)) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[377]) ).
cnf(379,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| k5_rmod_4(X1,X2,esk30_3(X1,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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[377]) ).
cnf(380,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| m2_rmod_4(esk30_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)],[377]) ).
cnf(381,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_rmod_4(X1,X2,X4) = k1_xboole_0
| ~ 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)))
| ~ v1_rmod_5(X3,X1,X2)
| k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
| ~ m2_rmod_4(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[377]) ).
cnf(477,plain,
( m2_rmod_4(esk30_3(X1,X2,X3),X1,X2,X4)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| ~ r1_tarski(X3,X4)
| ~ 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(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[143,380,theory(equality)]) ).
cnf(1850,plain,
( k2_rmod_4(X1,X2,esk30_3(X1,X2,X3)) = k1_xboole_0
| v3_struct_0(X1)
| v3_struct_0(X2)
| v1_rmod_5(X3,X1,X2)
| k5_rmod_4(X1,X2,esk30_3(X1,X2,X3)) != k1_rlvect_1(X2)
| ~ v1_rmod_5(X4,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(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[381,477,theory(equality)]) ).
cnf(35358,plain,
( k2_rmod_4(X1,X2,esk30_3(X1,X2,X3)) = k1_xboole_0
| v1_rmod_5(X3,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v1_rmod_5(X4,X1,X2)
| ~ r1_tarski(X3,X4)
| ~ 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(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[1850,379]) ).
cnf(35359,plain,
( v1_rmod_5(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v1_rmod_5(X4,X1,X2)
| ~ r1_tarski(X3,X4)
| ~ 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(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[35358,378]) ).
cnf(35360,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(spm,[status(thm)],[35359,268,theory(equality)]) ).
cnf(35384,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35360,272,theory(equality)]) ).
cnf(35385,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35384,273,theory(equality)]) ).
cnf(35386,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35385,279,theory(equality)]) ).
cnf(35387,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35386,280,theory(equality)]) ).
cnf(35388,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35387,281,theory(equality)]) ).
cnf(35389,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35388,282,theory(equality)]) ).
cnf(35390,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35389,283,theory(equality)]) ).
cnf(35391,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35390,274,theory(equality)]) ).
cnf(35392,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35391,284,theory(equality)]) ).
cnf(35393,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35392,275,theory(equality)]) ).
cnf(35394,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35393,285,theory(equality)]) ).
cnf(35395,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_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)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35394,276,theory(equality)]) ).
cnf(35396,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk16_0)
| ~ v3_rlvect_1(esk15_0)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35395,286,theory(equality)]) ).
cnf(35397,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_rlvect_1(esk15_0)
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35396,277,theory(equality)]) ).
cnf(35398,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk18_0,k1_zfmisc_1(u1_struct_0(esk16_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35397,287,theory(equality)]) ).
cnf(35399,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(rw,[status(thm)],[35398,270,theory(equality)]) ).
cnf(35400,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(cn,[status(thm)],[35399,theory(equality)]) ).
cnf(35401,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| v3_struct_0(esk15_0)
| ~ r1_tarski(X1,esk18_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(sr,[status(thm)],[35400,278,theory(equality)]) ).
cnf(35402,negated_conjecture,
( v1_rmod_5(X1,esk15_0,esk16_0)
| ~ r1_tarski(X1,esk18_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(sr,[status(thm)],[35401,288,theory(equality)]) ).
cnf(35405,negated_conjecture,
( v1_rmod_5(esk17_0,esk15_0,esk16_0)
| ~ m1_subset_1(esk17_0,k1_zfmisc_1(u1_struct_0(esk16_0))) ),
inference(spm,[status(thm)],[35402,269,theory(equality)]) ).
cnf(35408,negated_conjecture,
( v1_rmod_5(esk17_0,esk15_0,esk16_0)
| $false ),
inference(rw,[status(thm)],[35405,271,theory(equality)]) ).
cnf(35409,negated_conjecture,
v1_rmod_5(esk17_0,esk15_0,esk16_0),
inference(cn,[status(thm)],[35408,theory(equality)]) ).
cnf(35410,negated_conjecture,
$false,
inference(sr,[status(thm)],[35409,267,theory(equality)]) ).
cnf(35411,negated_conjecture,
$false,
35410,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG214+1.p
% --creating new selector for []
% -running prover on /tmp/tmpJzoTPz/sel_ALG214+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG214+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG214+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG214+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
%
%------------------------------------------------------------------------------