TSTP Solution File: GRP645+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP645+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 10:57:42 EST 2010
% Result : Theorem 0.39s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 80 ( 14 unt; 0 def)
% Number of atoms : 578 ( 54 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 790 ( 292 ~; 364 |; 107 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/tmp/tmpQq4Hn3/sel_GRP645+1.p_1',d1_latsubgr) ).
fof(30,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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/tmp/tmpQq4Hn3/sel_GRP645+1.p_1',t23_latsubgr) ).
fof(41,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmpQq4Hn3/sel_GRP645+1.p_1',dt_k1_latsubgr) ).
fof(53,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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
file('/tmp/tmpQq4Hn3/sel_GRP645+1.p_1',t24_latsubgr) ).
fof(56,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
file('/tmp/tmpQq4Hn3/sel_GRP645+1.p_1',dt_k9_group_2) ).
fof(63,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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(assume_negation,[status(cth)],[53]) ).
fof(64,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(75,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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[30,theory(equality)]) ).
fof(78,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(80,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] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_simplification,[status(thm)],[63,theory(equality)]) ).
fof(81,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1)
& m1_group_2(X3,X1) )
=> ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(86,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ( ( X2 != k1_latsubgr(X1)
| ! [X3] :
( ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| k1_funct_1(X2,X3) = u1_struct_0(X3) ) )
& ( ? [X3] :
( v1_group_1(X3)
& m1_group_2(X3,X1)
& k1_funct_1(X2,X3) != u1_struct_0(X3) )
| X2 = k1_latsubgr(X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(87,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ( ( X5 != k1_latsubgr(X4)
| ! [X6] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6) ) )
& ( ? [X7] :
( v1_group_1(X7)
& m1_group_2(X7,X4)
& k1_funct_1(X5,X7) != u1_struct_0(X7) )
| X5 = k1_latsubgr(X4) ) ) ) ),
inference(variable_rename,[status(thm)],[86]) ).
fof(88,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ( ( X5 != k1_latsubgr(X4)
| ! [X6] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6) ) )
& ( ( v1_group_1(esk1_2(X4,X5))
& m1_group_2(esk1_2(X4,X5),X4)
& k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5)) )
| X5 = k1_latsubgr(X4) ) ) ) ),
inference(skolemize,[status(esa)],[87]) ).
fof(89,plain,
! [X4,X5,X6] :
( ( ( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6)
| X5 != k1_latsubgr(X4) )
& ( ( v1_group_1(esk1_2(X4,X5))
& m1_group_2(esk1_2(X4,X5),X4)
& k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5)) )
| X5 = k1_latsubgr(X4) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(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)],[88]) ).
fof(90,plain,
! [X4,X5,X6] :
( ( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| k1_funct_1(X5,X6) = u1_struct_0(X6)
| X5 != k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( v1_group_1(esk1_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( m1_group_2(esk1_2(X4,X5),X4)
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( k1_funct_1(X5,esk1_2(X4,X5)) != u1_struct_0(esk1_2(X4,X5))
| X5 = k1_latsubgr(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_relset_1(X5,k1_group_3(X4),k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
inference(distribute,[status(thm)],[89]) ).
cnf(94,plain,
( v3_struct_0(X1)
| k1_funct_1(X2,X3) = u1_struct_0(X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X2)
| X2 != k1_latsubgr(X1)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[90]) ).
fof(187,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] :
( ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(188,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] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| u1_struct_0(k9_group_2(X4,X5,X6)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X4),X5),k1_funct_1(k1_latsubgr(X4),X6)) ) ) ),
inference(variable_rename,[status(thm)],[187]) ).
fof(189,plain,
! [X4,X5,X6] :
( ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| u1_struct_0(k9_group_2(X4,X5,X6)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X4),X5),k1_funct_1(k1_latsubgr(X4),X6))
| ~ 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)],[188]) ).
cnf(190,plain,
( v3_struct_0(X1)
| u1_struct_0(k9_group_2(X1,X2,X3)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3) ),
inference(split_conjunct,[status(thm)],[189]) ).
fof(221,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[78]) ).
fof(222,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( v1_funct_1(k1_latsubgr(X2))
& v1_funct_2(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
& m2_relset_1(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2))) ) ),
inference(variable_rename,[status(thm)],[221]) ).
fof(223,plain,
! [X2] :
( ( v1_funct_1(k1_latsubgr(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v1_funct_2(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( m2_relset_1(k1_latsubgr(X2),k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[222]) ).
cnf(224,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(225,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(226,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[223]) ).
fof(255,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] :
( v1_group_1(X3)
& m1_group_2(X3,X1)
& k1_funct_1(k1_latsubgr(X1),k9_group_2(X1,X2,X3)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3)) ) ) ),
inference(fof_nnf,[status(thm)],[80]) ).
fof(256,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] :
( v1_group_1(X6)
& m1_group_2(X6,X4)
& k1_funct_1(k1_latsubgr(X4),k9_group_2(X4,X5,X6)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X4),X5),k1_funct_1(k1_latsubgr(X4),X6)) ) ) ),
inference(variable_rename,[status(thm)],[255]) ).
fof(257,negated_conjecture,
( ~ v3_struct_0(esk12_0)
& v3_group_1(esk12_0)
& v4_group_1(esk12_0)
& l1_group_1(esk12_0)
& v1_group_1(esk13_0)
& m1_group_2(esk13_0,esk12_0)
& v1_group_1(esk14_0)
& m1_group_2(esk14_0,esk12_0)
& k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk12_0),esk13_0),k1_funct_1(k1_latsubgr(esk12_0),esk14_0)) ),
inference(skolemize,[status(esa)],[256]) ).
cnf(258,negated_conjecture,
k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0)) != k3_xboole_0(k1_funct_1(k1_latsubgr(esk12_0),esk13_0),k1_funct_1(k1_latsubgr(esk12_0),esk14_0)),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(259,negated_conjecture,
m1_group_2(esk14_0,esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(260,negated_conjecture,
v1_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(261,negated_conjecture,
m1_group_2(esk13_0,esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(262,negated_conjecture,
v1_group_1(esk13_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(263,negated_conjecture,
l1_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(264,negated_conjecture,
v4_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(265,negated_conjecture,
v3_group_1(esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
cnf(266,negated_conjecture,
~ v3_struct_0(esk12_0),
inference(split_conjunct,[status(thm)],[257]) ).
fof(271,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ( v1_group_1(k9_group_2(X1,X2,X3))
& m1_group_2(k9_group_2(X1,X2,X3),X1) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(272,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4)
| ( v1_group_1(k9_group_2(X4,X5,X6))
& m1_group_2(k9_group_2(X4,X5,X6),X4) ) ),
inference(variable_rename,[status(thm)],[271]) ).
fof(273,plain,
! [X4,X5,X6] :
( ( v1_group_1(k9_group_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4) )
& ( m1_group_2(k9_group_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_group_2(X6,X4) ) ),
inference(distribute,[status(thm)],[272]) ).
cnf(274,plain,
( v3_struct_0(X2)
| m1_group_2(k9_group_2(X2,X3,X1),X2)
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(275,plain,
( v3_struct_0(X2)
| v1_group_1(k9_group_2(X2,X3,X1))
| ~ m1_group_2(X1,X2)
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(409,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| ~ m1_group_2(esk14_0,esk12_0)
| ~ m1_group_2(esk13_0,esk12_0)
| ~ v1_group_1(esk14_0)
| ~ v1_group_1(esk13_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(spm,[status(thm)],[258,190,theory(equality)]) ).
cnf(410,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| ~ m1_group_2(esk13_0,esk12_0)
| ~ v1_group_1(esk14_0)
| ~ v1_group_1(esk13_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[409,259,theory(equality)]) ).
cnf(411,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| ~ v1_group_1(esk14_0)
| ~ v1_group_1(esk13_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[410,261,theory(equality)]) ).
cnf(412,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false
| ~ v1_group_1(esk13_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[411,260,theory(equality)]) ).
cnf(413,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false
| $false
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[412,262,theory(equality)]) ).
cnf(414,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[413,263,theory(equality)]) ).
cnf(415,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[414,264,theory(equality)]) ).
cnf(416,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[415,265,theory(equality)]) ).
cnf(417,negated_conjecture,
( v3_struct_0(esk12_0)
| u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)) != k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(418,negated_conjecture,
k1_funct_1(k1_latsubgr(esk12_0),k9_group_2(esk12_0,esk13_0,esk14_0)) != u1_struct_0(k9_group_2(esk12_0,esk13_0,esk14_0)),
inference(sr,[status(thm)],[417,266,theory(equality)]) ).
cnf(450,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[94,224,theory(equality)]) ).
cnf(1406,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[450,226]) ).
cnf(1407,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[1406,225]) ).
cnf(1410,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0))
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(spm,[status(thm)],[418,1407,theory(equality)]) ).
cnf(1435,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1410,263,theory(equality)]) ).
cnf(1436,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1435,264,theory(equality)]) ).
cnf(1437,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1436,265,theory(equality)]) ).
cnf(1438,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0)) ),
inference(cn,[status(thm)],[1437,theory(equality)]) ).
cnf(1439,negated_conjecture,
( ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ v1_group_1(k9_group_2(esk12_0,esk13_0,esk14_0)) ),
inference(sr,[status(thm)],[1438,266,theory(equality)]) ).
cnf(1461,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| ~ m1_group_2(esk13_0,esk12_0)
| ~ m1_group_2(esk14_0,esk12_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(spm,[status(thm)],[1439,275,theory(equality)]) ).
cnf(1462,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| $false
| ~ m1_group_2(esk14_0,esk12_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1461,261,theory(equality)]) ).
cnf(1463,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| $false
| $false
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1462,259,theory(equality)]) ).
cnf(1464,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| $false
| $false
| $false
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1463,263,theory(equality)]) ).
cnf(1465,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1464,264,theory(equality)]) ).
cnf(1466,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1465,265,theory(equality)]) ).
cnf(1467,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0) ),
inference(cn,[status(thm)],[1466,theory(equality)]) ).
cnf(1468,negated_conjecture,
~ m1_group_2(k9_group_2(esk12_0,esk13_0,esk14_0),esk12_0),
inference(sr,[status(thm)],[1467,266,theory(equality)]) ).
cnf(1469,negated_conjecture,
( v3_struct_0(esk12_0)
| ~ m1_group_2(esk13_0,esk12_0)
| ~ m1_group_2(esk14_0,esk12_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(spm,[status(thm)],[1468,274,theory(equality)]) ).
cnf(1470,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| ~ m1_group_2(esk14_0,esk12_0)
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1469,261,theory(equality)]) ).
cnf(1471,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| $false
| ~ l1_group_1(esk12_0)
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1470,259,theory(equality)]) ).
cnf(1472,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| $false
| $false
| ~ v4_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1471,263,theory(equality)]) ).
cnf(1473,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[1472,264,theory(equality)]) ).
cnf(1474,negated_conjecture,
( v3_struct_0(esk12_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1473,265,theory(equality)]) ).
cnf(1475,negated_conjecture,
v3_struct_0(esk12_0),
inference(cn,[status(thm)],[1474,theory(equality)]) ).
cnf(1476,negated_conjecture,
$false,
inference(sr,[status(thm)],[1475,266,theory(equality)]) ).
cnf(1477,negated_conjecture,
$false,
1476,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP645+1.p
% --creating new selector for []
% -running prover on /tmp/tmpQq4Hn3/sel_GRP645+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP645+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP645+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP645+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
%
%------------------------------------------------------------------------------