TSTP Solution File: GRP643+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP643+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 10:55:53 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% 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(12,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/tmpEGY8DE/sel_GRP643+1.p_1',t21_latsubgr) ).
fof(13,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/tmpEGY8DE/sel_GRP643+1.p_1',t59_group_2) ).
fof(15,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/tmpEGY8DE/sel_GRP643+1.p_1',t18_latsubgr) ).
fof(26,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/tmpEGY8DE/sel_GRP643+1.p_1',dt_k1_group_1) ).
fof(56,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)],[12]) ).
fof(60,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)],[56,theory(equality)]) ).
fof(61,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)],[13,theory(equality)]) ).
fof(62,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)],[15,theory(equality)]) ).
fof(64,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)],[26,theory(equality)]) ).
fof(115,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)],[60]) ).
fof(116,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)],[115]) ).
fof(117,negated_conjecture,
( ~ v3_struct_0(esk5_0)
& v3_group_1(esk5_0)
& v4_group_1(esk5_0)
& l1_group_1(esk5_0)
& v1_group_1(esk6_0)
& m1_group_2(esk6_0,esk5_0)
& m1_subset_1(esk7_0,u1_struct_0(esk5_0))
& m1_subset_1(esk8_0,u1_struct_0(esk5_0))
& r2_hidden(esk7_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0))
& r2_hidden(esk8_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0))
& ~ r2_hidden(k1_group_1(esk5_0,esk7_0,esk8_0),k1_funct_1(k1_latsubgr(esk5_0),esk6_0)) ),
inference(skolemize,[status(esa)],[116]) ).
cnf(118,negated_conjecture,
~ r2_hidden(k1_group_1(esk5_0,esk7_0,esk8_0),k1_funct_1(k1_latsubgr(esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(119,negated_conjecture,
r2_hidden(esk8_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(120,negated_conjecture,
r2_hidden(esk7_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(121,negated_conjecture,
m1_subset_1(esk8_0,u1_struct_0(esk5_0)),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(122,negated_conjecture,
m1_subset_1(esk7_0,u1_struct_0(esk5_0)),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(123,negated_conjecture,
m1_group_2(esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(124,negated_conjecture,
v1_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(125,negated_conjecture,
l1_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(126,negated_conjecture,
v4_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(127,negated_conjecture,
v3_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(128,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(split_conjunct,[status(thm)],[117]) ).
fof(129,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)],[61]) ).
fof(130,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)],[129]) ).
fof(131,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)],[130]) ).
cnf(132,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)],[131]) ).
fof(135,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)],[62]) ).
fof(136,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)],[135]) ).
fof(137,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)],[136]) ).
fof(138,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)],[137]) ).
cnf(139,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)],[138]) ).
cnf(140,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)],[138]) ).
fof(170,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)],[64]) ).
fof(171,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)],[170]) ).
cnf(172,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)],[171]) ).
cnf(332,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| ~ m1_group_2(esk6_0,esk5_0)
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[118,139,theory(equality)]) ).
cnf(336,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| $false
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[332,123,theory(equality)]) ).
cnf(337,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| $false
| $false
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[336,124,theory(equality)]) ).
cnf(338,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| $false
| $false
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[337,125,theory(equality)]) ).
cnf(339,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[338,126,theory(equality)]) ).
cnf(340,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[339,127,theory(equality)]) ).
cnf(341,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(cn,[status(thm)],[340,theory(equality)]) ).
cnf(342,negated_conjecture,
( ~ r1_rlvect_1(esk6_0,k1_group_1(esk5_0,esk7_0,esk8_0))
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(sr,[status(thm)],[341,128,theory(equality)]) ).
cnf(343,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| ~ m1_group_2(esk6_0,esk5_0)
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[140,120,theory(equality)]) ).
cnf(344,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| ~ m1_group_2(esk6_0,esk5_0)
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[140,119,theory(equality)]) ).
cnf(347,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[343,123,theory(equality)]) ).
cnf(348,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[347,124,theory(equality)]) ).
cnf(349,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[348,125,theory(equality)]) ).
cnf(350,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[349,126,theory(equality)]) ).
cnf(351,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[350,127,theory(equality)]) ).
cnf(352,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[351,122,theory(equality)]) ).
cnf(353,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0) ),
inference(cn,[status(thm)],[352,theory(equality)]) ).
cnf(354,negated_conjecture,
r1_rlvect_1(esk6_0,esk7_0),
inference(sr,[status(thm)],[353,128,theory(equality)]) ).
cnf(355,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| ~ v1_group_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[344,123,theory(equality)]) ).
cnf(356,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| $false
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[355,124,theory(equality)]) ).
cnf(357,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[356,125,theory(equality)]) ).
cnf(358,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[357,126,theory(equality)]) ).
cnf(359,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[358,127,theory(equality)]) ).
cnf(360,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[359,121,theory(equality)]) ).
cnf(361,negated_conjecture,
( r1_rlvect_1(esk6_0,esk8_0)
| v3_struct_0(esk5_0) ),
inference(cn,[status(thm)],[360,theory(equality)]) ).
cnf(362,negated_conjecture,
r1_rlvect_1(esk6_0,esk8_0),
inference(sr,[status(thm)],[361,128,theory(equality)]) ).
cnf(454,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| ~ r1_rlvect_1(esk6_0,esk8_0)
| ~ r1_rlvect_1(esk6_0,esk7_0)
| ~ m1_group_2(esk6_0,esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[342,132,theory(equality)]) ).
cnf(455,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| ~ r1_rlvect_1(esk6_0,esk7_0)
| ~ m1_group_2(esk6_0,esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[454,362,theory(equality)]) ).
cnf(456,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| ~ m1_group_2(esk6_0,esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[455,354,theory(equality)]) ).
cnf(457,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[456,123,theory(equality)]) ).
cnf(458,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[457,125,theory(equality)]) ).
cnf(459,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[458,126,theory(equality)]) ).
cnf(460,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[459,127,theory(equality)]) ).
cnf(461,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[460,121,theory(equality)]) ).
cnf(462,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[461,122,theory(equality)]) ).
cnf(463,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)) ),
inference(cn,[status(thm)],[462,theory(equality)]) ).
cnf(464,negated_conjecture,
~ m1_subset_1(k1_group_1(esk5_0,esk7_0,esk8_0),u1_struct_0(esk5_0)),
inference(sr,[status(thm)],[463,128,theory(equality)]) ).
cnf(471,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ l1_group_1(esk5_0)
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[464,172,theory(equality)]) ).
cnf(472,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| ~ m1_subset_1(esk8_0,u1_struct_0(esk5_0))
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[471,125,theory(equality)]) ).
cnf(473,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[472,121,theory(equality)]) ).
cnf(474,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[473,122,theory(equality)]) ).
cnf(475,negated_conjecture,
v3_struct_0(esk5_0),
inference(cn,[status(thm)],[474,theory(equality)]) ).
cnf(476,negated_conjecture,
$false,
inference(sr,[status(thm)],[475,128,theory(equality)]) ).
cnf(477,negated_conjecture,
$false,
476,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP643+1.p
% --creating new selector for []
% -running prover on /tmp/tmpEGY8DE/sel_GRP643+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP643+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP643+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP643+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
%
%------------------------------------------------------------------------------