TSTP Solution File: GRP644+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP644+2 : 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 10:57:00 EST 2010
% Result : Theorem 22.51s
% Output : CNFRefutation 22.51s
% 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(798,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/tmpn-vwTN/sel_GRP644+2.p_1',t60_group_2) ).
fof(1258,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/tmpn-vwTN/sel_GRP644+2.p_1',dt_k3_group_1) ).
fof(2974,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/tmpn-vwTN/sel_GRP644+2.p_1',t22_latsubgr) ).
fof(2981,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/tmpn-vwTN/sel_GRP644+2.p_1',t18_latsubgr) ).
fof(2991,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)],[2974]) ).
fof(3192,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)],[798,theory(equality)]) ).
fof(3303,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)],[1258,theory(equality)]) ).
fof(3686,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)],[2991,theory(equality)]) ).
fof(3692,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)],[2981,theory(equality)]) ).
fof(6337,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)],[3192]) ).
fof(6338,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)],[6337]) ).
fof(6339,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)],[6338]) ).
cnf(6340,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)],[6339]) ).
fof(7951,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)],[3303]) ).
fof(7952,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)],[7951]) ).
cnf(7953,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)],[7952]) ).
fof(13492,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)],[3686]) ).
fof(13493,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)],[13492]) ).
fof(13494,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))
& r2_hidden(esk444_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0))
& ~ r2_hidden(k3_group_1(esk442_0,esk444_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)) ),
inference(skolemize,[status(esa)],[13493]) ).
cnf(13495,negated_conjecture,
~ r2_hidden(k3_group_1(esk442_0,esk444_0),k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13496,negated_conjecture,
r2_hidden(esk444_0,k1_funct_1(k1_latsubgr(esk442_0),esk443_0)),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13497,negated_conjecture,
m1_subset_1(esk444_0,u1_struct_0(esk442_0)),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13498,negated_conjecture,
m1_group_2(esk443_0,esk442_0),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13499,negated_conjecture,
v1_group_1(esk443_0),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13500,negated_conjecture,
l1_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13501,negated_conjecture,
v4_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13502,negated_conjecture,
v3_group_1(esk442_0),
inference(split_conjunct,[status(thm)],[13494]) ).
cnf(13503,negated_conjecture,
~ v3_struct_0(esk442_0),
inference(split_conjunct,[status(thm)],[13494]) ).
fof(13525,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)],[3692]) ).
fof(13526,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)],[13525]) ).
fof(13527,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)],[13526]) ).
fof(13528,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)],[13527]) ).
cnf(13529,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)],[13528]) ).
cnf(13530,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)],[13528]) ).
cnf(39672,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)],[13530,13496,theory(equality)]) ).
cnf(39741,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)],[39672,13499,theory(equality)]) ).
cnf(39742,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)],[39741,13498,theory(equality)]) ).
cnf(39743,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)],[39742,13497,theory(equality)]) ).
cnf(39744,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)],[39743,13500,theory(equality)]) ).
cnf(39745,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)],[39744,13501,theory(equality)]) ).
cnf(39746,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[39745,13502,theory(equality)]) ).
cnf(39747,negated_conjecture,
( r1_rlvect_1(esk443_0,esk444_0)
| v3_struct_0(esk442_0) ),
inference(cn,[status(thm)],[39746,theory(equality)]) ).
cnf(39748,negated_conjecture,
r1_rlvect_1(esk443_0,esk444_0),
inference(sr,[status(thm)],[39747,13503,theory(equality)]) ).
cnf(40124,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ v1_group_1(esk443_0)
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,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)],[13495,13529,theory(equality)]) ).
cnf(40174,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| ~ m1_group_2(esk443_0,esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,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)],[40124,13499,theory(equality)]) ).
cnf(40175,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| $false
| ~ m1_subset_1(k3_group_1(esk442_0,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)],[40174,13498,theory(equality)]) ).
cnf(40176,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| $false
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40175,13500,theory(equality)]) ).
cnf(40177,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| $false
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[40176,13501,theory(equality)]) ).
cnf(40178,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| $false
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[40177,13502,theory(equality)]) ).
cnf(40179,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[40178,theory(equality)]) ).
cnf(40180,negated_conjecture,
( ~ r1_rlvect_1(esk443_0,k3_group_1(esk442_0,esk444_0))
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0)) ),
inference(sr,[status(thm)],[40179,13503,theory(equality)]) ).
cnf(128197,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| ~ r1_rlvect_1(esk443_0,esk444_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)],[40180,6340,theory(equality)]) ).
cnf(128199,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_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)],[128197,39748,theory(equality)]) ).
cnf(128200,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_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)],[128199,13498,theory(equality)]) ).
cnf(128201,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_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)],[128200,13497,theory(equality)]) ).
cnf(128202,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128201,13500,theory(equality)]) ).
cnf(128203,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128202,13501,theory(equality)]) ).
cnf(128204,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0))
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[128203,13502,theory(equality)]) ).
cnf(128205,negated_conjecture,
( v3_struct_0(esk442_0)
| ~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0)) ),
inference(cn,[status(thm)],[128204,theory(equality)]) ).
cnf(128206,negated_conjecture,
~ m1_subset_1(k3_group_1(esk442_0,esk444_0),u1_struct_0(esk442_0)),
inference(sr,[status(thm)],[128205,13503,theory(equality)]) ).
cnf(128207,negated_conjecture,
( v3_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)],[128206,7953,theory(equality)]) ).
cnf(128213,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| ~ l1_group_1(esk442_0)
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128207,13497,theory(equality)]) ).
cnf(128214,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| $false
| ~ v4_group_1(esk442_0)
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128213,13500,theory(equality)]) ).
cnf(128215,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| $false
| $false
| ~ v3_group_1(esk442_0) ),
inference(rw,[status(thm)],[128214,13501,theory(equality)]) ).
cnf(128216,negated_conjecture,
( v3_struct_0(esk442_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[128215,13502,theory(equality)]) ).
cnf(128217,negated_conjecture,
v3_struct_0(esk442_0),
inference(cn,[status(thm)],[128216,theory(equality)]) ).
cnf(128218,negated_conjecture,
$false,
inference(sr,[status(thm)],[128217,13503,theory(equality)]) ).
cnf(128219,negated_conjecture,
$false,
128218,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP644+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/tmpn-vwTN/sel_GRP644+2.p_1 with time limit 29
% -prover status Theorem
% Problem GRP644+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP644+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP644+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
%
%------------------------------------------------------------------------------