%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP640+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 10:56:28 EST 2010
% Result : Theorem 0.58s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 12 unt; 0 def)
% Number of atoms : 468 ( 41 equ)
% Maximal formula atoms : 20 ( 8 avg)
% Number of connectives : 639 ( 229 ~; 251 |; 120 &)
% ( 2 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 78 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
=> k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ) ),
file('/tmp/tmpYEH_TJ/sel_GRP640+1.p_1',t13_latsubgr) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_group_1(X2)
& m1_group_2(X2,X1)
& v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( r1_group_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/tmp/tmpYEH_TJ/sel_GRP640+1.p_1',redefinition_r1_group_2) ).
fof(5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4)) ) ) ) ) ),
file('/tmp/tmpYEH_TJ/sel_GRP640+1.p_1',t4_latsubgr) ).
fof(10,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(k8_group_4(X1,X2,X3))
& m1_group_2(k8_group_4(X1,X2,X3),X1) ) ),
file('/tmp/tmpYEH_TJ/sel_GRP640+1.p_1',dt_k8_group_4) ).
fof(54,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
file('/tmp/tmpYEH_TJ/sel_GRP640+1.p_1',dt_k5_group_4) ).
fof(64,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
=> k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(65,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
=> k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[64,theory(equality)]) ).
fof(66,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_group_1(X2)
& m1_group_2(X2,X1)
& v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( r1_group_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(67,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(69,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(k8_group_4(X1,X2,X3))
& m1_group_2(k8_group_4(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(81,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
fof(87,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& ? [X3] :
( m1_group_2(X3,X1)
& ? [X4] :
( m1_group_2(X4,X1)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
& ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
& X6 = k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4))
& k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k8_group_4(X1,X3,X4))) != k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X5,u1_struct_0(k5_group_4(X1,X6))) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(88,negated_conjecture,
? [X7] :
( ~ v3_struct_0(X7)
& v3_group_1(X7)
& v4_group_1(X7)
& l1_group_1(X7)
& ? [X8] :
( ~ v3_struct_0(X8)
& v3_group_1(X8)
& v4_group_1(X8)
& l1_group_1(X8)
& ? [X9] :
( m1_group_2(X9,X7)
& ? [X10] :
( m1_group_2(X10,X7)
& ? [X11] :
( v1_funct_1(X11)
& v1_funct_2(X11,u1_struct_0(X7),u1_struct_0(X8))
& m2_relset_1(X11,u1_struct_0(X7),u1_struct_0(X8))
& ? [X12] :
( m1_subset_1(X12,k1_zfmisc_1(u1_struct_0(X7)))
& X12 = k2_xboole_0(u1_struct_0(X9),u1_struct_0(X10))
& k2_funct_2(u1_struct_0(X7),u1_struct_0(X8),X11,u1_struct_0(k8_group_4(X7,X9,X10))) != k2_funct_2(u1_struct_0(X7),u1_struct_0(X8),X11,u1_struct_0(k5_group_4(X7,X12))) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& m1_group_2(esk3_0,esk1_0)
& m1_group_2(esk4_0,esk1_0)
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk5_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& esk6_0 = k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0))
& k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_0))) ),
inference(skolemize,[status(esa)],[88]) ).
cnf(90,negated_conjecture,
k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k8_group_4(esk1_0,esk3_0,esk4_0))) != k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk5_0,u1_struct_0(k5_group_4(esk1_0,esk6_0))),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(91,negated_conjecture,
esk6_0 = k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(92,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(96,negated_conjecture,
m1_group_2(esk4_0,esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(97,negated_conjecture,
m1_group_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(102,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(103,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(104,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
cnf(105,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[89]) ).
fof(106,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ( ( ~ r1_group_2(X1,X2,X3)
| X2 = X3 )
& ( X2 != X3
| r1_group_2(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(107,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4)
| ( ( ~ r1_group_2(X4,X5,X6)
| X5 = X6 )
& ( X5 != X6
| r1_group_2(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[106]) ).
fof(108,plain,
! [X4,X5,X6] :
( ( ~ r1_group_2(X4,X5,X6)
| X5 = X6
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4) )
& ( X5 != X6
| r1_group_2(X4,X5,X6)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X4) ) ),
inference(distribute,[status(thm)],[107]) ).
cnf(110,plain,
( v3_struct_0(X2)
| X3 = X1
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X3,X2)
| ~ v1_group_1(X3)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ r1_group_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[108]) ).
fof(113,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| X4 != k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4)) ) ) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(114,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_group_2(X6,X5)
| ! [X7] :
( ~ m1_group_2(X7,X5)
| ! [X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| X8 != k2_xboole_0(u1_struct_0(X6),u1_struct_0(X7))
| r1_group_2(X5,k8_group_4(X5,X6,X7),k5_group_4(X5,X8)) ) ) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| X8 != k2_xboole_0(u1_struct_0(X6),u1_struct_0(X7))
| r1_group_2(X5,k8_group_4(X5,X6,X7),k5_group_4(X5,X8))
| ~ m1_group_2(X7,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ),
inference(shift_quantors,[status(thm)],[114]) ).
cnf(116,plain,
( v3_struct_0(X1)
| r1_group_2(X1,k8_group_4(X1,X2,X3),k5_group_4(X1,X4))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| X4 != k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(132,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(k8_group_4(X1,X2,X3))
& m1_group_2(k8_group_4(X1,X2,X3),X1) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(133,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(k8_group_4(X4,X5,X6))
& m1_group_2(k8_group_4(X4,X5,X6),X4) ) ),
inference(variable_rename,[status(thm)],[132]) ).
fof(134,plain,
! [X4,X5,X6] :
( ( v1_group_1(k8_group_4(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(k8_group_4(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)],[133]) ).
cnf(135,plain,
( v3_struct_0(X2)
| m1_group_2(k8_group_4(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)],[134]) ).
cnf(136,plain,
( v3_struct_0(X2)
| v1_group_1(k8_group_4(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)],[134]) ).
fof(269,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ( v1_group_1(k5_group_4(X1,X2))
& m1_group_2(k5_group_4(X1,X2),X1) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(270,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ( v1_group_1(k5_group_4(X3,X4))
& m1_group_2(k5_group_4(X3,X4),X3) ) ),
inference(variable_rename,[status(thm)],[269]) ).
fof(271,plain,
! [X3,X4] :
( ( v1_group_1(k5_group_4(X3,X4))
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) )
& ( m1_group_2(k5_group_4(X3,X4),X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(distribute,[status(thm)],[270]) ).
cnf(272,plain,
( v3_struct_0(X2)
| m1_group_2(k5_group_4(X2,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[271]) ).
cnf(273,plain,
( v3_struct_0(X2)
| v1_group_1(k5_group_4(X2,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[271]) ).
cnf(447,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| ~ v1_group_1(k8_group_4(X1,X3,X4))
| ~ v1_group_1(k5_group_4(X1,X2))
| ~ m1_group_2(k8_group_4(X1,X3,X4),X1)
| ~ m1_group_2(k5_group_4(X1,X2),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4)) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1) ),
inference(spm,[status(thm)],[110,116,theory(equality)]) ).
cnf(1104,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4)) != X2
| ~ v1_group_1(k8_group_4(X1,X3,X4))
| ~ v1_group_1(k5_group_4(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(k8_group_4(X1,X3,X4),X1)
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[447,272]) ).
cnf(1105,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4)) != X2
| ~ v1_group_1(k8_group_4(X1,X3,X4))
| ~ v1_group_1(k5_group_4(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[1104,135]) ).
cnf(1106,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4)) != X2
| ~ v1_group_1(k8_group_4(X1,X3,X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[1105,273]) ).
cnf(1107,plain,
( k5_group_4(X1,X2) = k8_group_4(X1,X3,X4)
| v3_struct_0(X1)
| k2_xboole_0(u1_struct_0(X3),u1_struct_0(X4)) != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X4,X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[1106,136]) ).
cnf(1108,plain,
( k5_group_4(X1,k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))) = k8_group_4(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(er,[status(thm)],[1107,theory(equality)]) ).
cnf(4850,negated_conjecture,
( k5_group_4(X1,esk6_0) = k8_group_4(X1,esk3_0,esk4_0)
| v3_struct_0(X1)
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(esk4_0,X1)
| ~ m1_group_2(esk3_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[1108,91,theory(equality)]) ).
cnf(4870,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_group_2(esk4_0,esk1_0)
| ~ m1_group_2(esk3_0,esk1_0)
| ~ l1_group_1(esk1_0)
| ~ v4_group_1(esk1_0)
| ~ v3_group_1(esk1_0) ),
inference(spm,[status(thm)],[90,4850,theory(equality)]) ).
cnf(4883,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ m1_group_2(esk4_0,esk1_0)
| ~ m1_group_2(esk3_0,esk1_0)
| ~ l1_group_1(esk1_0)
| ~ v4_group_1(esk1_0)
| ~ v3_group_1(esk1_0) ),
inference(rw,[status(thm)],[4870,92,theory(equality)]) ).
cnf(4884,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| ~ m1_group_2(esk3_0,esk1_0)
| ~ l1_group_1(esk1_0)
| ~ v4_group_1(esk1_0)
| ~ v3_group_1(esk1_0) ),
inference(rw,[status(thm)],[4883,96,theory(equality)]) ).
cnf(4885,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| $false
| ~ l1_group_1(esk1_0)
| ~ v4_group_1(esk1_0)
| ~ v3_group_1(esk1_0) ),
inference(rw,[status(thm)],[4884,97,theory(equality)]) ).
cnf(4886,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| $false
| $false
| ~ v4_group_1(esk1_0)
| ~ v3_group_1(esk1_0) ),
inference(rw,[status(thm)],[4885,102,theory(equality)]) ).
cnf(4887,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| $false
| $false
| $false
| ~ v3_group_1(esk1_0) ),
inference(rw,[status(thm)],[4886,103,theory(equality)]) ).
cnf(4888,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4887,104,theory(equality)]) ).
cnf(4889,negated_conjecture,
v3_struct_0(esk1_0),
inference(cn,[status(thm)],[4888,theory(equality)]) ).
cnf(4890,negated_conjecture,
$false,
inference(sr,[status(thm)],[4889,105,theory(equality)]) ).
cnf(4891,negated_conjecture,
$false,
4890,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP640+1.p
% --creating new selector for []
% -running prover on /tmp/tmpYEH_TJ/sel_GRP640+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP640+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP640+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP640+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
%
%------------------------------------------------------------------------------