TSTP Solution File: GRP643+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP643+3 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 10:56:09 EST 2010
% Result : Theorem 74.96s
% Output : CNFRefutation 74.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 4
% Syntax : Number of formulae : 80 ( 17 unt; 0 def)
% Number of atoms : 532 ( 0 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 690 ( 238 ~; 346 |; 71 &)
% ( 2 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 0 sgn 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(302,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
file('/tmp/tmpFljABI/sel_GRP643+3.p_2',dt_k1_group_1) ).
fof(2378,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
file('/tmp/tmpFljABI/sel_GRP643+3.p_2',t59_group_2) ).
fof(4714,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
file('/tmp/tmpFljABI/sel_GRP643+3.p_2',t21_latsubgr) ).
fof(4721,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/tmp/tmpFljABI/sel_GRP643+3.p_2',t18_latsubgr) ).
fof(4731,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[4714]) ).
fof(4791,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[302,theory(equality)]) ).
fof(5262,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_group_2(X4,X1)
=> ( ( r1_rlvect_1(X4,X2)
& r1_rlvect_1(X4,X3) )
=> r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[2378,theory(equality)]) ).
fof(5745,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2)) )
=> r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[4731,theory(equality)]) ).
fof(5751,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[4721,theory(equality)]) ).
fof(6697,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[4791]) ).
fof(6698,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_group_1(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| m1_subset_1(k1_group_1(X4,X5,X6),u1_struct_0(X4)) ),
inference(variable_rename,[status(thm)],[6697]) ).
cnf(6699,plain,
( m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[6698]) ).
fof(13717,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_group_2(X4,X1)
| ~ r1_rlvect_1(X4,X2)
| ~ r1_rlvect_1(X4,X3)
| r1_rlvect_1(X4,k1_group_1(X1,X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[5262]) ).
fof(13718,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X5))
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X5))
| ! [X8] :
( ~ m1_group_2(X8,X5)
| ~ r1_rlvect_1(X8,X6)
| ~ r1_rlvect_1(X8,X7)
| r1_rlvect_1(X8,k1_group_1(X5,X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[13717]) ).
fof(13719,plain,
! [X5,X6,X7,X8] :
( ~ m1_group_2(X8,X5)
| ~ r1_rlvect_1(X8,X6)
| ~ r1_rlvect_1(X8,X7)
| r1_rlvect_1(X8,k1_group_1(X5,X6,X7))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ),
inference(shift_quantors,[status(thm)],[13718]) ).
cnf(13720,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X4,k1_group_1(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_rlvect_1(X4,X3)
| ~ r1_rlvect_1(X4,X2)
| ~ m1_group_2(X4,X1) ),
inference(split_conjunct,[status(thm)],[13719]) ).
fof(21178,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( v1_group_1(X2)
& m1_group_2(X2,X1)
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& r2_hidden(X4,k1_funct_1(k1_latsubgr(X1),X2))
& ~ r2_hidden(k1_group_1(X1,X3,X4),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[5745]) ).
fof(21179,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v3_group_1(X5)
& v4_group_1(X5)
& l1_group_1(X5)
& ? [X6] :
( v1_group_1(X6)
& m1_group_2(X6,X5)
& ? [X7] :
( m1_subset_1(X7,u1_struct_0(X5))
& ? [X8] :
( m1_subset_1(X8,u1_struct_0(X5))
& r2_hidden(X7,k1_funct_1(k1_latsubgr(X5),X6))
& r2_hidden(X8,k1_funct_1(k1_latsubgr(X5),X6))
& ~ r2_hidden(k1_group_1(X5,X7,X8),k1_funct_1(k1_latsubgr(X5),X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[21178]) ).
fof(21180,negated_conjecture,
( ~ v3_struct_0(esk732_0)
& v3_group_1(esk732_0)
& v4_group_1(esk732_0)
& l1_group_1(esk732_0)
& v1_group_1(esk733_0)
& m1_group_2(esk733_0,esk732_0)
& m1_subset_1(esk734_0,u1_struct_0(esk732_0))
& m1_subset_1(esk735_0,u1_struct_0(esk732_0))
& r2_hidden(esk734_0,k1_funct_1(k1_latsubgr(esk732_0),esk733_0))
& r2_hidden(esk735_0,k1_funct_1(k1_latsubgr(esk732_0),esk733_0))
& ~ r2_hidden(k1_group_1(esk732_0,esk734_0,esk735_0),k1_funct_1(k1_latsubgr(esk732_0),esk733_0)) ),
inference(skolemize,[status(esa)],[21179]) ).
cnf(21181,negated_conjecture,
~ r2_hidden(k1_group_1(esk732_0,esk734_0,esk735_0),k1_funct_1(k1_latsubgr(esk732_0),esk733_0)),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21182,negated_conjecture,
r2_hidden(esk735_0,k1_funct_1(k1_latsubgr(esk732_0),esk733_0)),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21183,negated_conjecture,
r2_hidden(esk734_0,k1_funct_1(k1_latsubgr(esk732_0),esk733_0)),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21184,negated_conjecture,
m1_subset_1(esk735_0,u1_struct_0(esk732_0)),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21185,negated_conjecture,
m1_subset_1(esk734_0,u1_struct_0(esk732_0)),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21186,negated_conjecture,
m1_group_2(esk733_0,esk732_0),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21187,negated_conjecture,
v1_group_1(esk733_0),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21188,negated_conjecture,
l1_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21189,negated_conjecture,
v4_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21190,negated_conjecture,
v3_group_1(esk732_0),
inference(split_conjunct,[status(thm)],[21180]) ).
cnf(21191,negated_conjecture,
~ v3_struct_0(esk732_0),
inference(split_conjunct,[status(thm)],[21180]) ).
fof(21213,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ( ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| r1_rlvect_1(X2,X3) )
& ( ~ r1_rlvect_1(X2,X3)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[5751]) ).
fof(21214,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[21213]) ).
fof(21215,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5)) ) )
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[21214]) ).
fof(21216,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[21215]) ).
cnf(21217,plain,
( v3_struct_0(X1)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_rlvect_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[21216]) ).
cnf(21218,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
inference(split_conjunct,[status(thm)],[21216]) ).
cnf(65683,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| ~ v1_group_1(esk733_0)
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[21218,21183,theory(equality)]) ).
cnf(65684,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| ~ v1_group_1(esk733_0)
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[21218,21182,theory(equality)]) ).
cnf(65801,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65683,21187,theory(equality)]) ).
cnf(65802,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| $false
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65801,21186,theory(equality)]) ).
cnf(65803,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65802,21185,theory(equality)]) ).
cnf(65804,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65803,21188,theory(equality)]) ).
cnf(65805,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65804,21189,theory(equality)]) ).
cnf(65806,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[65805,21190,theory(equality)]) ).
cnf(65807,negated_conjecture,
( r1_rlvect_1(esk733_0,esk734_0)
| v3_struct_0(esk732_0) ),
inference(cn,[status(thm)],[65806,theory(equality)]) ).
cnf(65808,negated_conjecture,
r1_rlvect_1(esk733_0,esk734_0),
inference(sr,[status(thm)],[65807,21191,theory(equality)]) ).
cnf(65809,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65684,21187,theory(equality)]) ).
cnf(65810,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| $false
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65809,21186,theory(equality)]) ).
cnf(65811,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65810,21184,theory(equality)]) ).
cnf(65812,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65811,21188,theory(equality)]) ).
cnf(65813,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[65812,21189,theory(equality)]) ).
cnf(65814,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[65813,21190,theory(equality)]) ).
cnf(65815,negated_conjecture,
( r1_rlvect_1(esk733_0,esk735_0)
| v3_struct_0(esk732_0) ),
inference(cn,[status(thm)],[65814,theory(equality)]) ).
cnf(65816,negated_conjecture,
r1_rlvect_1(esk733_0,esk735_0),
inference(sr,[status(thm)],[65815,21191,theory(equality)]) ).
cnf(66414,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ v1_group_1(esk733_0)
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[21181,21217,theory(equality)]) ).
cnf(66494,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[66414,21187,theory(equality)]) ).
cnf(66495,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| $false
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[66494,21186,theory(equality)]) ).
cnf(66496,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| $false
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[66495,21188,theory(equality)]) ).
cnf(66497,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| $false
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[66496,21189,theory(equality)]) ).
cnf(66498,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| $false
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[66497,21190,theory(equality)]) ).
cnf(66499,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0)) ),
inference(cn,[status(thm)],[66498,theory(equality)]) ).
cnf(66500,negated_conjecture,
( ~ r1_rlvect_1(esk733_0,k1_group_1(esk732_0,esk734_0,esk735_0))
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0)) ),
inference(sr,[status(thm)],[66499,21191,theory(equality)]) ).
cnf(271304,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| ~ r1_rlvect_1(esk733_0,esk735_0)
| ~ r1_rlvect_1(esk733_0,esk734_0)
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(spm,[status(thm)],[66500,13720,theory(equality)]) ).
cnf(271305,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| ~ r1_rlvect_1(esk733_0,esk734_0)
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271304,65816,theory(equality)]) ).
cnf(271306,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| ~ m1_group_2(esk733_0,esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271305,65808,theory(equality)]) ).
cnf(271307,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271306,21186,theory(equality)]) ).
cnf(271308,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271307,21184,theory(equality)]) ).
cnf(271309,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false
| $false
| ~ l1_group_1(esk732_0)
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271308,21185,theory(equality)]) ).
cnf(271310,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk732_0)
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271309,21188,theory(equality)]) ).
cnf(271311,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk732_0) ),
inference(rw,[status(thm)],[271310,21189,theory(equality)]) ).
cnf(271312,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[271311,21190,theory(equality)]) ).
cnf(271313,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0)) ),
inference(cn,[status(thm)],[271312,theory(equality)]) ).
cnf(271314,negated_conjecture,
~ m1_subset_1(k1_group_1(esk732_0,esk734_0,esk735_0),u1_struct_0(esk732_0)),
inference(sr,[status(thm)],[271313,21191,theory(equality)]) ).
cnf(271315,negated_conjecture,
( v3_struct_0(esk732_0)
| ~ m1_subset_1(esk735_0,u1_struct_0(esk732_0))
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0) ),
inference(spm,[status(thm)],[271314,6699,theory(equality)]) ).
cnf(271318,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| ~ m1_subset_1(esk734_0,u1_struct_0(esk732_0))
| ~ l1_group_1(esk732_0) ),
inference(rw,[status(thm)],[271315,21184,theory(equality)]) ).
cnf(271319,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| $false
| ~ l1_group_1(esk732_0) ),
inference(rw,[status(thm)],[271318,21185,theory(equality)]) ).
cnf(271320,negated_conjecture,
( v3_struct_0(esk732_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[271319,21188,theory(equality)]) ).
cnf(271321,negated_conjecture,
v3_struct_0(esk732_0),
inference(cn,[status(thm)],[271320,theory(equality)]) ).
cnf(271322,negated_conjecture,
$false,
inference(sr,[status(thm)],[271321,21191,theory(equality)]) ).
cnf(271323,negated_conjecture,
$false,
271322,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP643+3.p
% --creating new selector for [SET007+3.ax, SET007+0.ax, SET007+1.ax, SET007+2.ax, SET007+4.ax, SET007+5.ax, SET007+6.ax, SET007+7.ax, SET007+8.ax, SET007+9.ax, SET007+10.ax, SET007+11.ax, SET007+13.ax, SET007+14.ax, SET007+15.ax, SET007+16.ax, SET007+17.ax, SET007+18.ax, SET007+19.ax, SET007+20.ax, SET007+21.ax, SET007+22.ax, SET007+23.ax, SET007+24.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+33.ax, SET007+34.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+50.ax, SET007+51.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+61.ax, SET007+64.ax, SET007+66.ax, SET007+67.ax, SET007+68.ax, SET007+71.ax, SET007+75.ax, SET007+76.ax, SET007+77.ax, SET007+79.ax, SET007+80.ax, SET007+86.ax, SET007+91.ax, SET007+117.ax, SET007+125.ax, SET007+126.ax, SET007+148.ax, SET007+159.ax, SET007+165.ax, SET007+170.ax, SET007+182.ax, SET007+186.ax, SET007+188.ax, SET007+190.ax, SET007+200.ax, SET007+202.ax, SET007+205.ax, SET007+206.ax, SET007+207.ax, SET007+209.ax, SET007+210.ax, SET007+211.ax, SET007+212.ax, SET007+213.ax, SET007+217.ax, SET007+218.ax, SET007+223.ax, SET007+224.ax, SET007+225.ax, SET007+227.ax, SET007+237.ax, SET007+241.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+253.ax, SET007+255.ax, SET007+256.ax, SET007+276.ax, SET007+278.ax, SET007+279.ax, SET007+280.ax, SET007+281.ax, SET007+293.ax, SET007+295.ax, SET007+297.ax, SET007+298.ax, SET007+299.ax, SET007+301.ax, SET007+308.ax, SET007+309.ax, SET007+311.ax, SET007+312.ax, SET007+317.ax, SET007+321.ax, SET007+322.ax, SET007+327.ax, SET007+335.ax, SET007+338.ax, SET007+339.ax, SET007+354.ax, SET007+363.ax, SET007+365.ax, SET007+370.ax, SET007+375.ax, SET007+377.ax, SET007+384.ax, SET007+387.ax, SET007+388.ax, SET007+393.ax, SET007+394.ax, SET007+395.ax, SET007+396.ax, SET007+399.ax, SET007+401.ax, SET007+405.ax, SET007+406.ax, SET007+407.ax, SET007+411.ax, SET007+412.ax, SET007+426.ax, SET007+427.ax, SET007+432.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpFljABI/sel_GRP643+3.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpFljABI/sel_GRP643+3.p_2 with time limit 79
% -prover status Theorem
% Problem GRP643+3.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP643+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP643+3.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
%
%------------------------------------------------------------------------------