TSTP Solution File: GRP644+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP644+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 10:56:54 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 4
% Syntax : Number of formulae : 68 ( 14 unt; 0 def)
% Number of atoms : 427 ( 0 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 558 ( 199 ~; 267 |; 62 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(13,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))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/tmp/tmpR1YuBq/sel_GRP644+1.p_1',t22_latsubgr) ).
fof(14,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/tmpR1YuBq/sel_GRP644+1.p_1',t18_latsubgr) ).
fof(17,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/tmp/tmpR1YuBq/sel_GRP644+1.p_1',dt_k3_group_1) ).
fof(41,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_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
file('/tmp/tmpR1YuBq/sel_GRP644+1.p_1',t60_group_2) ).
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))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[13]) ).
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))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),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] :
( ( 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)],[14,theory(equality)]) ).
fof(63,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(70,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_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(117,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))
& r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
& ~ r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(118,negated_conjecture,
? [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))
& ~ r2_hidden(k3_group_1(X4,X6),k1_funct_1(k1_latsubgr(X4),X5)) ) ) ),
inference(variable_rename,[status(thm)],[117]) ).
fof(119,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))
& r2_hidden(esk7_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0))
& ~ r2_hidden(k3_group_1(esk5_0,esk7_0),k1_funct_1(k1_latsubgr(esk5_0),esk6_0)) ),
inference(skolemize,[status(esa)],[118]) ).
cnf(120,negated_conjecture,
~ r2_hidden(k3_group_1(esk5_0,esk7_0),k1_funct_1(k1_latsubgr(esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(121,negated_conjecture,
r2_hidden(esk7_0,k1_funct_1(k1_latsubgr(esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(122,negated_conjecture,
m1_subset_1(esk7_0,u1_struct_0(esk5_0)),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(123,negated_conjecture,
m1_group_2(esk6_0,esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(124,negated_conjecture,
v1_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(125,negated_conjecture,
l1_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(126,negated_conjecture,
v4_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(127,negated_conjecture,
v3_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(128,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
fof(129,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)],[61]) ).
fof(130,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)],[129]) ).
fof(131,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)],[130]) ).
fof(132,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)],[131]) ).
cnf(133,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)],[132]) ).
cnf(134,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)],[132]) ).
fof(141,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[63]) ).
fof(142,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k3_group_1(X3,X4),u1_struct_0(X3)) ),
inference(variable_rename,[status(thm)],[141]) ).
cnf(143,plain,
( m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(220,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_group_2(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(221,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_rlvect_1(X6,X5)
| r1_rlvect_1(X6,k3_group_1(X4,X5)) ) ) ),
inference(variable_rename,[status(thm)],[220]) ).
fof(222,plain,
! [X4,X5,X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_rlvect_1(X6,X5)
| r1_rlvect_1(X6,k3_group_1(X4,X5))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[221]) ).
cnf(223,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X3,k3_group_1(X1,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[222]) ).
cnf(328,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_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(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[120,133,theory(equality)]) ).
cnf(332,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_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(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[328,123,theory(equality)]) ).
cnf(333,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| $false
| $false
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[332,124,theory(equality)]) ).
cnf(334,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| $false
| $false
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[333,125,theory(equality)]) ).
cnf(335,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[334,126,theory(equality)]) ).
cnf(336,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[335,127,theory(equality)]) ).
cnf(337,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(cn,[status(thm)],[336,theory(equality)]) ).
cnf(338,negated_conjecture,
( ~ r1_rlvect_1(esk6_0,k3_group_1(esk5_0,esk7_0))
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(sr,[status(thm)],[337,128,theory(equality)]) ).
cnf(339,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)],[134,121,theory(equality)]) ).
cnf(342,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)],[339,123,theory(equality)]) ).
cnf(343,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)],[342,124,theory(equality)]) ).
cnf(344,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)],[343,125,theory(equality)]) ).
cnf(345,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)],[344,126,theory(equality)]) ).
cnf(346,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)],[345,127,theory(equality)]) ).
cnf(347,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[346,122,theory(equality)]) ).
cnf(348,negated_conjecture,
( r1_rlvect_1(esk6_0,esk7_0)
| v3_struct_0(esk5_0) ),
inference(cn,[status(thm)],[347,theory(equality)]) ).
cnf(349,negated_conjecture,
r1_rlvect_1(esk6_0,esk7_0),
inference(sr,[status(thm)],[348,128,theory(equality)]) ).
cnf(424,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_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(esk7_0,u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[338,223,theory(equality)]) ).
cnf(425,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0))
| $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(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[424,349,theory(equality)]) ).
cnf(426,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_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)],[425,123,theory(equality)]) ).
cnf(427,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_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)],[426,125,theory(equality)]) ).
cnf(428,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_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)],[427,126,theory(equality)]) ).
cnf(429,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[428,127,theory(equality)]) ).
cnf(430,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[429,122,theory(equality)]) ).
cnf(431,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)) ),
inference(cn,[status(thm)],[430,theory(equality)]) ).
cnf(432,negated_conjecture,
~ m1_subset_1(k3_group_1(esk5_0,esk7_0),u1_struct_0(esk5_0)),
inference(sr,[status(thm)],[431,128,theory(equality)]) ).
cnf(433,negated_conjecture,
( v3_struct_0(esk5_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)],[432,143,theory(equality)]) ).
cnf(434,negated_conjecture,
( v3_struct_0(esk5_0)
| $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)],[433,125,theory(equality)]) ).
cnf(435,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[434,126,theory(equality)]) ).
cnf(436,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk7_0,u1_struct_0(esk5_0)) ),
inference(rw,[status(thm)],[435,127,theory(equality)]) ).
cnf(437,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[436,122,theory(equality)]) ).
cnf(438,negated_conjecture,
v3_struct_0(esk5_0),
inference(cn,[status(thm)],[437,theory(equality)]) ).
cnf(439,negated_conjecture,
$false,
inference(sr,[status(thm)],[438,128,theory(equality)]) ).
cnf(440,negated_conjecture,
$false,
439,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP644+1.p
% --creating new selector for []
% -running prover on /tmp/tmpR1YuBq/sel_GRP644+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP644+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP644+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP644+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
%
%------------------------------------------------------------------------------