TSTP Solution File: GRP618+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP618+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 10:05:02 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 3
% Syntax : Number of formulae : 84 ( 11 unt; 0 def)
% Number of atoms : 642 ( 0 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 878 ( 320 ~; 423 |; 93 &)
% ( 3 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 86 ( 0 sgn 60 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(37,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/tmp/tmpeQHN-H/sel_GRP618+1.p_1',t1_autgroup) ).
fof(44,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/tmp/tmpeQHN-H/sel_GRP618+1.p_1',l2_autgroup) ).
fof(48,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/tmp/tmpeQHN-H/sel_GRP618+1.p_1',l1_autgroup) ).
fof(62,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[37]) ).
fof(74,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[62,theory(equality)]) ).
fof(75,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).
fof(78,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).
fof(239,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( m1_group_2(X2,X1)
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X4,u1_struct_0(X2))
& ~ r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) )
| ~ v1_group_3(X2,X1) )
& ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) )
| v1_group_3(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[74]) ).
fof(240,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v1_group_1(X5)
& v3_group_1(X5)
& v4_group_1(X5)
& l1_group_1(X5)
& ? [X6] :
( m1_group_2(X6,X5)
& ( ? [X7] :
( m1_subset_1(X7,u1_struct_0(X5))
& ? [X8] :
( m1_subset_1(X8,u1_struct_0(X5))
& m1_subset_1(X8,u1_struct_0(X6))
& ~ r1_rlvect_1(X6,k2_group_3(X5,X8,X7)) ) )
| ~ v1_group_3(X6,X5) )
& ( ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X5))
| ! [X10] :
( ~ m1_subset_1(X10,u1_struct_0(X5))
| ~ m1_subset_1(X10,u1_struct_0(X6))
| r1_rlvect_1(X6,k2_group_3(X5,X10,X9)) ) )
| v1_group_3(X6,X5) ) ) ),
inference(variable_rename,[status(thm)],[239]) ).
fof(241,negated_conjecture,
( ~ v3_struct_0(esk16_0)
& v1_group_1(esk16_0)
& v3_group_1(esk16_0)
& v4_group_1(esk16_0)
& l1_group_1(esk16_0)
& m1_group_2(esk17_0,esk16_0)
& ( ( m1_subset_1(esk18_0,u1_struct_0(esk16_0))
& m1_subset_1(esk19_0,u1_struct_0(esk16_0))
& m1_subset_1(esk19_0,u1_struct_0(esk17_0))
& ~ r1_rlvect_1(esk17_0,k2_group_3(esk16_0,esk19_0,esk18_0)) )
| ~ v1_group_3(esk17_0,esk16_0) )
& ( ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(esk16_0))
| ! [X10] :
( ~ m1_subset_1(X10,u1_struct_0(esk16_0))
| ~ m1_subset_1(X10,u1_struct_0(esk17_0))
| r1_rlvect_1(esk17_0,k2_group_3(esk16_0,X10,X9)) ) )
| v1_group_3(esk17_0,esk16_0) ) ),
inference(skolemize,[status(esa)],[240]) ).
fof(242,negated_conjecture,
! [X9,X10] :
( ( ~ m1_subset_1(X10,u1_struct_0(esk16_0))
| ~ m1_subset_1(X10,u1_struct_0(esk17_0))
| r1_rlvect_1(esk17_0,k2_group_3(esk16_0,X10,X9))
| ~ m1_subset_1(X9,u1_struct_0(esk16_0))
| v1_group_3(esk17_0,esk16_0) )
& ( ( m1_subset_1(esk18_0,u1_struct_0(esk16_0))
& m1_subset_1(esk19_0,u1_struct_0(esk16_0))
& m1_subset_1(esk19_0,u1_struct_0(esk17_0))
& ~ r1_rlvect_1(esk17_0,k2_group_3(esk16_0,esk19_0,esk18_0)) )
| ~ v1_group_3(esk17_0,esk16_0) )
& m1_group_2(esk17_0,esk16_0)
& ~ v3_struct_0(esk16_0)
& v1_group_1(esk16_0)
& v3_group_1(esk16_0)
& v4_group_1(esk16_0)
& l1_group_1(esk16_0) ),
inference(shift_quantors,[status(thm)],[241]) ).
fof(243,negated_conjecture,
! [X9,X10] :
( ( ~ m1_subset_1(X10,u1_struct_0(esk16_0))
| ~ m1_subset_1(X10,u1_struct_0(esk17_0))
| r1_rlvect_1(esk17_0,k2_group_3(esk16_0,X10,X9))
| ~ m1_subset_1(X9,u1_struct_0(esk16_0))
| v1_group_3(esk17_0,esk16_0) )
& ( m1_subset_1(esk18_0,u1_struct_0(esk16_0))
| ~ v1_group_3(esk17_0,esk16_0) )
& ( m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ v1_group_3(esk17_0,esk16_0) )
& ( m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ v1_group_3(esk17_0,esk16_0) )
& ( ~ r1_rlvect_1(esk17_0,k2_group_3(esk16_0,esk19_0,esk18_0))
| ~ v1_group_3(esk17_0,esk16_0) )
& m1_group_2(esk17_0,esk16_0)
& ~ v3_struct_0(esk16_0)
& v1_group_1(esk16_0)
& v3_group_1(esk16_0)
& v4_group_1(esk16_0)
& l1_group_1(esk16_0) ),
inference(distribute,[status(thm)],[242]) ).
cnf(244,negated_conjecture,
l1_group_1(esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(245,negated_conjecture,
v4_group_1(esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(246,negated_conjecture,
v3_group_1(esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(247,negated_conjecture,
v1_group_1(esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(248,negated_conjecture,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(249,negated_conjecture,
m1_group_2(esk17_0,esk16_0),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(250,negated_conjecture,
( ~ v1_group_3(esk17_0,esk16_0)
| ~ r1_rlvect_1(esk17_0,k2_group_3(esk16_0,esk19_0,esk18_0)) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(251,negated_conjecture,
( m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ v1_group_3(esk17_0,esk16_0) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(252,negated_conjecture,
( m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ v1_group_3(esk17_0,esk16_0) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(253,negated_conjecture,
( m1_subset_1(esk18_0,u1_struct_0(esk16_0))
| ~ v1_group_3(esk17_0,esk16_0) ),
inference(split_conjunct,[status(thm)],[243]) ).
cnf(254,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| r1_rlvect_1(esk17_0,k2_group_3(esk16_0,X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk16_0))
| ~ m1_subset_1(X2,u1_struct_0(esk17_0))
| ~ m1_subset_1(X2,u1_struct_0(esk16_0)) ),
inference(split_conjunct,[status(thm)],[243]) ).
fof(271,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(272,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_group_2(X6,X5)
| ~ v1_group_3(X6,X5)
| ! [X7] :
( ~ m1_subset_1(X7,u1_struct_0(X5))
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| r1_rlvect_1(X6,k2_group_3(X5,X8,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[271]) ).
fof(273,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| r1_rlvect_1(X6,k2_group_3(X5,X8,X7))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ),
inference(shift_quantors,[status(thm)],[272]) ).
cnf(274,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[273]) ).
fof(288,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& m1_subset_1(X4,u1_struct_0(X2))
& ~ r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) )
| v1_group_3(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(289,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_group_2(X6,X5)
| ? [X7] :
( m1_subset_1(X7,u1_struct_0(X5))
& ? [X8] :
( m1_subset_1(X8,u1_struct_0(X5))
& m1_subset_1(X8,u1_struct_0(X6))
& ~ r1_rlvect_1(X6,k2_group_3(X5,X8,X7)) ) )
| v1_group_3(X6,X5) ) ),
inference(variable_rename,[status(thm)],[288]) ).
fof(290,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_group_2(X6,X5)
| ( m1_subset_1(esk20_2(X5,X6),u1_struct_0(X5))
& m1_subset_1(esk21_2(X5,X6),u1_struct_0(X5))
& m1_subset_1(esk21_2(X5,X6),u1_struct_0(X6))
& ~ r1_rlvect_1(X6,k2_group_3(X5,esk21_2(X5,X6),esk20_2(X5,X6))) )
| v1_group_3(X6,X5) ) ),
inference(skolemize,[status(esa)],[289]) ).
fof(291,plain,
! [X5,X6] :
( ~ m1_group_2(X6,X5)
| ( m1_subset_1(esk20_2(X5,X6),u1_struct_0(X5))
& m1_subset_1(esk21_2(X5,X6),u1_struct_0(X5))
& m1_subset_1(esk21_2(X5,X6),u1_struct_0(X6))
& ~ r1_rlvect_1(X6,k2_group_3(X5,esk21_2(X5,X6),esk20_2(X5,X6))) )
| v1_group_3(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ),
inference(shift_quantors,[status(thm)],[290]) ).
fof(292,plain,
! [X5,X6] :
( ( m1_subset_1(esk20_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk21_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk21_2(X5,X6),u1_struct_0(X6))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( ~ r1_rlvect_1(X6,k2_group_3(X5,esk21_2(X5,X6),esk20_2(X5,X6)))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ) ),
inference(distribute,[status(thm)],[291]) ).
cnf(293,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk21_2(X1,X2),esk20_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[292]) ).
cnf(294,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk21_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[292]) ).
cnf(295,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk21_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[292]) ).
cnf(296,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk20_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[292]) ).
cnf(411,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ v1_group_1(esk16_0)
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(spm,[status(thm)],[293,254,theory(equality)]) ).
cnf(412,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[411,247,theory(equality)]) ).
cnf(413,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[412,249,theory(equality)]) ).
cnf(414,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[413,244,theory(equality)]) ).
cnf(415,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[414,245,theory(equality)]) ).
cnf(416,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[415,246,theory(equality)]) ).
cnf(417,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(418,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(sr,[status(thm)],[417,248,theory(equality)]) ).
cnf(419,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| ~ v1_group_1(esk16_0)
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(spm,[status(thm)],[250,274,theory(equality)]) ).
cnf(421,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| $false
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[419,247,theory(equality)]) ).
cnf(422,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| $false
| $false
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[421,249,theory(equality)]) ).
cnf(423,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| $false
| $false
| $false
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[422,244,theory(equality)]) ).
cnf(424,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[423,245,theory(equality)]) ).
cnf(425,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| $false
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(rw,[status(thm)],[424,246,theory(equality)]) ).
cnf(426,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ v1_group_3(esk17_0,esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(cn,[status(thm)],[425,theory(equality)]) ).
cnf(427,negated_conjecture,
( ~ v1_group_3(esk17_0,esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0))
| ~ m1_subset_1(esk18_0,u1_struct_0(esk16_0)) ),
inference(sr,[status(thm)],[426,248,theory(equality)]) ).
cnf(462,negated_conjecture,
( ~ v1_group_3(esk17_0,esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0))
| ~ m1_subset_1(esk19_0,u1_struct_0(esk16_0)) ),
inference(csr,[status(thm)],[427,253]) ).
cnf(463,negated_conjecture,
( ~ v1_group_3(esk17_0,esk16_0)
| ~ m1_subset_1(esk19_0,u1_struct_0(esk17_0)) ),
inference(csr,[status(thm)],[462,252]) ).
cnf(464,negated_conjecture,
~ v1_group_3(esk17_0,esk16_0),
inference(csr,[status(thm)],[463,251]) ).
cnf(579,negated_conjecture,
( ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ m1_subset_1(esk20_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(sr,[status(thm)],[418,464,theory(equality)]) ).
cnf(580,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| ~ v1_group_1(esk16_0)
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(spm,[status(thm)],[579,296,theory(equality)]) ).
cnf(581,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| $false
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[580,247,theory(equality)]) ).
cnf(582,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| $false
| $false
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[581,249,theory(equality)]) ).
cnf(583,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| $false
| $false
| $false
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[582,244,theory(equality)]) ).
cnf(584,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[583,245,theory(equality)]) ).
cnf(585,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[584,246,theory(equality)]) ).
cnf(586,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0)) ),
inference(cn,[status(thm)],[585,theory(equality)]) ).
cnf(587,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0)) ),
inference(sr,[status(thm)],[586,464,theory(equality)]) ).
cnf(588,negated_conjecture,
( ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk17_0)) ),
inference(sr,[status(thm)],[587,248,theory(equality)]) ).
cnf(591,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| ~ v1_group_1(esk16_0)
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(spm,[status(thm)],[588,294,theory(equality)]) ).
cnf(592,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| $false
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[591,247,theory(equality)]) ).
cnf(593,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| $false
| $false
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[592,249,theory(equality)]) ).
cnf(594,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| $false
| $false
| $false
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[593,244,theory(equality)]) ).
cnf(595,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[594,245,theory(equality)]) ).
cnf(596,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0))
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[595,246,theory(equality)]) ).
cnf(597,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(cn,[status(thm)],[596,theory(equality)]) ).
cnf(598,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0)) ),
inference(sr,[status(thm)],[597,464,theory(equality)]) ).
cnf(599,negated_conjecture,
~ m1_subset_1(esk21_2(esk16_0,esk17_0),u1_struct_0(esk16_0)),
inference(sr,[status(thm)],[598,248,theory(equality)]) ).
cnf(600,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| ~ v1_group_1(esk16_0)
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(spm,[status(thm)],[599,295,theory(equality)]) ).
cnf(601,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| ~ m1_group_2(esk17_0,esk16_0)
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[600,247,theory(equality)]) ).
cnf(602,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| ~ l1_group_1(esk16_0)
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[601,249,theory(equality)]) ).
cnf(603,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| ~ v4_group_1(esk16_0)
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[602,244,theory(equality)]) ).
cnf(604,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk16_0) ),
inference(rw,[status(thm)],[603,245,theory(equality)]) ).
cnf(605,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[604,246,theory(equality)]) ).
cnf(606,negated_conjecture,
( v1_group_3(esk17_0,esk16_0)
| v3_struct_0(esk16_0) ),
inference(cn,[status(thm)],[605,theory(equality)]) ).
cnf(607,negated_conjecture,
v3_struct_0(esk16_0),
inference(sr,[status(thm)],[606,464,theory(equality)]) ).
cnf(608,negated_conjecture,
$false,
inference(sr,[status(thm)],[607,248,theory(equality)]) ).
cnf(609,negated_conjecture,
$false,
608,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP618+1.p
% --creating new selector for []
% -running prover on /tmp/tmpeQHN-H/sel_GRP618+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP618+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP618+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP618+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
%
%------------------------------------------------------------------------------