TSTP Solution File: GRP643+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP643+2 : 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 10:56:00 EST 2010
% Result : Theorem 22.66s
% Output : CNFRefutation 22.66s
% 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(189,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/tmp0yfe_z/sel_GRP643+2.p_1',dt_k1_group_1) ).
fof(1479,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/tmp0yfe_z/sel_GRP643+2.p_1',t59_group_2) ).
fof(2973,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/tmp0yfe_z/sel_GRP643+2.p_1',t21_latsubgr) ).
fof(2980,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/tmp0yfe_z/sel_GRP643+2.p_1',t18_latsubgr) ).
fof(2990,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)],[2973]) ).
fof(3034,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)],[189,theory(equality)]) ).
fof(3349,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)],[1479,theory(equality)]) ).
fof(3684,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)],[2990,theory(equality)]) ).
fof(3690,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)],[2980,theory(equality)]) ).
fof(4288,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)],[3034]) ).
fof(4289,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)],[4288]) ).
cnf(4290,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)],[4289]) ).
fof(8706,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)],[3349]) ).
fof(8707,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)],[8706]) ).
fof(8708,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)],[8707]) ).
cnf(8709,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)],[8708]) ).
fof(13486,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)],[3684]) ).
fof(13487,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)],[13486]) ).
fof(13488,negated_conjecture,
( ~ v3_struct_0(esk442_0)
& v3_group_1(esk442_0)
& v4_group_1(esk442_0)
& l1_group_1(esk442_0)
& v1_group_1(esk443_0)
& m1_group_2(esk443_0,esk442_0)
& m1_subset_1(esk444_0,u1_struct_0(esk442_0))
& m1_subset_1(esk445_0,u1_struct_0(esk442_0))
& r2_hidden(esk444_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0))
& r2_hidden(esk445_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0))
& ~ r2_hidden(k1_group_1(esk442_0,esk444_0,esk445_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)) ),
inference(skolemize,[status(esa)],[13487]) ).
cnf(13489,negated_conjecture,
~ r2_hidden(k1_group_1(esk442_0,esk444_0,esk445_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13490,negated_conjecture,
r2_hidden(esk445_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13491,negated_conjecture,
r2_hidden(esk444_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13492,negated_conjecture,
m1_subset_1(esk445_0,u1_struct_0(esk442_0)),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13493,negated_conjecture,
m1_subset_1(esk444_0,u1_struct_0(esk442_0)),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13494,negated_conjecture,
m1_group_2(esk443_0,esk442_0),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13495,negated_conjecture,
v1_group_1(esk443_0),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13496,negated_conjecture,
l1_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13497,negated_conjecture,
v4_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13498,negated_conjecture,
v3_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13488]) ).
cnf(13499,negated_conjecture,
~ v3_struct_0(esk442_0),
inference(split_conjunct,[status(thm)],[13488]) ).
fof(13521,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)],[3690]) ).
fof(13522,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)],[13521]) ).
fof(13523,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)],[13522]) ).
fof(13524,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)],[13523]) ).
cnf(13525,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)],[13524]) ).
cnf(13526,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)],[13524]) ).
cnf(39729,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[13526,13491,theory(equality)]) ).
cnf(39730,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[13526,13490,theory(equality)]) ).
cnf(39799,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39729,13495,theory(equality)]) ).
cnf(39800,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39799,13494,theory(equality)]) ).
cnf(39801,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39800,13493,theory(equality)]) ).
cnf(39802,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39801,13496,theory(equality)]) ).
cnf(39803,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39802,13497,theory(equality)]) ).
cnf(39804,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[39803,13498,theory(equality)]) ).
cnf(39805,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0) ),
inference(cn,[status(thm)],[39804,theory(equality)]) ).
cnf(39806,negated_conjecture,
r1_rlvect_1(esk443_0,esk444_0),
inference(sr,[status(thm)],[39805,13499,theory(equality)]) ).
cnf(39807,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39730,13495,theory(equality)]) ).
cnf(39808,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| $false
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39807,13494,theory(equality)]) ).
cnf(39809,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39808,13492,theory(equality)]) ).
cnf(39810,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39809,13496,theory(equality)]) ).
cnf(39811,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[39810,13497,theory(equality)]) ).
cnf(39812,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[39811,13498,theory(equality)]) ).
cnf(39813,negated_conjecture,
( r1_rlvect_1(esk443_0,esk445_0)
| v3_struct_0(esk442_0) ),
inference(cn,[status(thm)],[39812,theory(equality)]) ).
cnf(39814,negated_conjecture,
r1_rlvect_1(esk443_0,esk445_0),
inference(sr,[status(thm)],[39813,13499,theory(equality)]) ).
cnf(40190,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[13489,13525,theory(equality)]) ).
cnf(40240,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40190,13495,theory(equality)]) ).
cnf(40241,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| $false
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40240,13494,theory(equality)]) ).
cnf(40242,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| $false
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40241,13496,theory(equality)]) ).
cnf(40243,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| $false
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40242,13497,theory(equality)]) ).
cnf(40244,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| $false
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[40243,13498,theory(equality)]) ).
cnf(40245,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[40244,theory(equality)]) ).
cnf(40246,negated_conjecture,
( ~ r1_rlvect_1(esk443_0,k1_group_1(esk442_0,esk444_0,esk445_0))
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0)) ),
inference(sr,[status(thm)],[40245,13499,theory(equality)]) ).
cnf(128376,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| ~ r1_rlvect_1(esk443_0,esk445_0)
| ~ r1_rlvect_1(esk443_0,esk444_0)
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(spm,[status(thm)],[40246,8709,theory(equality)]) ).
cnf(128377,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| ~ r1_rlvect_1(esk443_0,esk444_0)
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128376,39814,theory(equality)]) ).
cnf(128378,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128377,39806,theory(equality)]) ).
cnf(128379,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128378,13494,theory(equality)]) ).
cnf(128380,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128379,13492,theory(equality)]) ).
cnf(128381,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128380,13493,theory(equality)]) ).
cnf(128382,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128381,13496,theory(equality)]) ).
cnf(128383,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128382,13497,theory(equality)]) ).
cnf(128384,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[128383,13498,theory(equality)]) ).
cnf(128385,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[128384,theory(equality)]) ).
cnf(128386,negated_conjecture,
~ m1_subset_1(k1_group_1(esk442_0,esk444_0,esk445_0),u1_struct_0(esk442_0)),
inference(sr,[status(thm)],[128385,13499,theory(equality)]) ).
cnf(128387,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(esk445_0,u1_struct_0(esk442_0))
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0) ),
inference(spm,[status(thm)],[128386,4290,theory(equality)]) ).
cnf(128392,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ m1_subset_1(esk444_0,u1_struct_0(esk442_0))
| ~ l1_group_1(esk442_0) ),
inference(rw,[status(thm)],[128387,13492,theory(equality)]) ).
cnf(128393,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| $false
| ~ l1_group_1(esk442_0) ),
inference(rw,[status(thm)],[128392,13493,theory(equality)]) ).
cnf(128394,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[128393,13496,theory(equality)]) ).
cnf(128395,negated_conjecture,
v3_struct_0(esk442_0),
inference(cn,[status(thm)],[128394,theory(equality)]) ).
cnf(128396,negated_conjecture,
$false,
inference(sr,[status(thm)],[128395,13499,theory(equality)]) ).
cnf(128397,negated_conjecture,
$false,
128396,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP643+2.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+16.ax, SET007+17.ax, SET007+18.ax, SET007+20.ax, SET007+22.ax, SET007+23.ax, SET007+25.ax, SET007+26.ax, SET007+31.ax, SET007+32.ax, SET007+35.ax, SET007+40.ax, SET007+48.ax, SET007+54.ax, SET007+55.ax, SET007+59.ax, SET007+60.ax, SET007+71.ax, SET007+117.ax, SET007+200.ax, SET007+205.ax, SET007+210.ax, SET007+212.ax, SET007+213.ax, SET007+218.ax, SET007+242.ax, SET007+246.ax, SET007+247.ax, SET007+248.ax, SET007+252.ax, SET007+255.ax, SET007+295.ax, SET007+312.ax, SET007+335.ax, SET007+375.ax, SET007+432.ax]
% -running prover on /tmp/tmp0yfe_z/sel_GRP643+2.p_1 with time limit 29
% -prover status Theorem
% Problem GRP643+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP643+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP643+2.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
%
%------------------------------------------------------------------------------