TSTP Solution File: GRP639+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP639+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 10:50:20 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 8
% Syntax : Number of formulae : 78 ( 17 unt; 0 def)
% Number of atoms : 459 ( 21 equ)
% Maximal formula atoms : 61 ( 5 avg)
% Number of connectives : 609 ( 228 ~; 235 |; 114 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 140 ( 4 sgn 98 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',cc1_relset_1) ).
fof(6,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',redefinition_m2_relset_1) ).
fof(7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',d5_group_4) ).
fof(14,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',redefinition_k2_funct_2) ).
fof(15,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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',t12_latsubgr) ).
fof(35,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',dt_m2_relset_1) ).
fof(44,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/tmpXhJ7Jm/sel_GRP639+1.p_1',dt_k5_group_4) ).
fof(54,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/tmp/tmpXhJ7Jm/sel_GRP639+1.p_1',t156_relat_1) ).
fof(55,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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> ( X3 = k5_group_4(X1,X2)
<=> ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X1) )
=> ( r1_tarski(X2,u1_struct_0(X4))
=> m1_group_2(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(60,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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(fof_simplification,[status(thm)],[55,theory(equality)]) ).
fof(66,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)],[44,theory(equality)]) ).
fof(75,plain,
! [X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(76,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[75]) ).
cnf(77,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[76]) ).
fof(86,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(87,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[86]) ).
cnf(89,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(90,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ! [X3] :
( ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ( ( X3 != k5_group_4(X1,X2)
| ( r1_tarski(X2,u1_struct_0(X3))
& ! [X4] :
( ~ v1_group_1(X4)
| ~ m1_group_2(X4,X1)
| ~ r1_tarski(X2,u1_struct_0(X4))
| m1_group_2(X3,X4) ) ) )
& ( ~ r1_tarski(X2,u1_struct_0(X3))
| ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X1)
& r1_tarski(X2,u1_struct_0(X4))
& ~ m1_group_2(X3,X4) )
| X3 = k5_group_4(X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(91,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| ! [X7] :
( ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ( ( X7 != k5_group_4(X5,X6)
| ( r1_tarski(X6,u1_struct_0(X7))
& ! [X8] :
( ~ v1_group_1(X8)
| ~ m1_group_2(X8,X5)
| ~ r1_tarski(X6,u1_struct_0(X8))
| m1_group_2(X7,X8) ) ) )
& ( ~ r1_tarski(X6,u1_struct_0(X7))
| ? [X9] :
( v1_group_1(X9)
& m1_group_2(X9,X5)
& r1_tarski(X6,u1_struct_0(X9))
& ~ m1_group_2(X7,X9) )
| X7 = k5_group_4(X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[90]) ).
fof(92,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| ! [X7] :
( ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ( ( X7 != k5_group_4(X5,X6)
| ( r1_tarski(X6,u1_struct_0(X7))
& ! [X8] :
( ~ v1_group_1(X8)
| ~ m1_group_2(X8,X5)
| ~ r1_tarski(X6,u1_struct_0(X8))
| m1_group_2(X7,X8) ) ) )
& ( ~ r1_tarski(X6,u1_struct_0(X7))
| ( v1_group_1(esk3_3(X5,X6,X7))
& m1_group_2(esk3_3(X5,X6,X7),X5)
& r1_tarski(X6,u1_struct_0(esk3_3(X5,X6,X7)))
& ~ m1_group_2(X7,esk3_3(X5,X6,X7)) )
| X7 = k5_group_4(X5,X6) ) ) ) ) ),
inference(skolemize,[status(esa)],[91]) ).
fof(93,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ v1_group_1(X8)
| ~ m1_group_2(X8,X5)
| ~ r1_tarski(X6,u1_struct_0(X8))
| m1_group_2(X7,X8) )
& r1_tarski(X6,u1_struct_0(X7)) )
| X7 != k5_group_4(X5,X6) )
& ( ~ r1_tarski(X6,u1_struct_0(X7))
| ( v1_group_1(esk3_3(X5,X6,X7))
& m1_group_2(esk3_3(X5,X6,X7),X5)
& r1_tarski(X6,u1_struct_0(esk3_3(X5,X6,X7)))
& ~ m1_group_2(X7,esk3_3(X5,X6,X7)) )
| X7 = k5_group_4(X5,X6) ) )
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ),
inference(shift_quantors,[status(thm)],[92]) ).
fof(94,plain,
! [X5,X6,X7,X8] :
( ( ~ v1_group_1(X8)
| ~ m1_group_2(X8,X5)
| ~ r1_tarski(X6,u1_struct_0(X8))
| m1_group_2(X7,X8)
| X7 != k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( r1_tarski(X6,u1_struct_0(X7))
| X7 != k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( v1_group_1(esk3_3(X5,X6,X7))
| ~ r1_tarski(X6,u1_struct_0(X7))
| X7 = k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_group_2(esk3_3(X5,X6,X7),X5)
| ~ r1_tarski(X6,u1_struct_0(X7))
| X7 = k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( r1_tarski(X6,u1_struct_0(esk3_3(X5,X6,X7)))
| ~ r1_tarski(X6,u1_struct_0(X7))
| X7 = k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( ~ m1_group_2(X7,esk3_3(X5,X6,X7))
| ~ r1_tarski(X6,u1_struct_0(X7))
| X7 = k5_group_4(X5,X6)
| ~ v1_group_1(X7)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ) ),
inference(distribute,[status(thm)],[93]) ).
cnf(99,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_group_2(X3,X1)
| ~ v1_group_1(X3)
| X3 != k5_group_4(X1,X2) ),
inference(split_conjunct,[status(thm)],[94]) ).
fof(123,plain,
! [X1,X2,X3,X4] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(124,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| k2_funct_2(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(variable_rename,[status(thm)],[123]) ).
cnf(125,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[124]) ).
fof(126,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] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& ~ r1_tarski(k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(k5_group_4(X1,X4)))) ) ) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(127,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v3_group_1(X5)
& v4_group_1(X5)
& l1_group_1(X5)
& ? [X6] :
( ~ v3_struct_0(X6)
& v3_group_1(X6)
& v4_group_1(X6)
& l1_group_1(X6)
& ? [X7] :
( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
& m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
& ? [X8] :
( m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
& ~ r1_tarski(k2_funct_2(u1_struct_0(X5),u1_struct_0(X6),X7,X8),k2_funct_2(u1_struct_0(X5),u1_struct_0(X6),X7,u1_struct_0(k5_group_4(X5,X8)))) ) ) ) ),
inference(variable_rename,[status(thm)],[126]) ).
fof(128,negated_conjecture,
( ~ v3_struct_0(esk6_0)
& v3_group_1(esk6_0)
& v4_group_1(esk6_0)
& l1_group_1(esk6_0)
& ~ v3_struct_0(esk7_0)
& v3_group_1(esk7_0)
& v4_group_1(esk7_0)
& l1_group_1(esk7_0)
& v1_funct_1(esk8_0)
& v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
& m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
& m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0)))
& ~ r1_tarski(k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))) ),
inference(skolemize,[status(esa)],[127]) ).
cnf(129,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(130,negated_conjecture,
m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0))),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(131,negated_conjecture,
m2_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(132,negated_conjecture,
v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(133,negated_conjecture,
v1_funct_1(esk8_0),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(138,negated_conjecture,
l1_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(139,negated_conjecture,
v4_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(140,negated_conjecture,
v3_group_1(esk6_0),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(141,negated_conjecture,
~ v3_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[128]) ).
fof(205,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(206,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[205]) ).
cnf(207,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[206]) ).
fof(229,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)],[66]) ).
fof(230,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)],[229]) ).
fof(231,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)],[230]) ).
cnf(232,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)],[231]) ).
cnf(233,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)],[231]) ).
fof(272,plain,
! [X1,X2,X3] :
( ~ v1_relat_1(X3)
| ~ r1_tarski(X1,X2)
| r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ),
inference(fof_nnf,[status(thm)],[54]) ).
fof(273,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ r1_tarski(X4,X5)
| r1_tarski(k9_relat_1(X6,X4),k9_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[272]) ).
cnf(274,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[273]) ).
cnf(286,negated_conjecture,
m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)),
inference(spm,[status(thm)],[89,131,theory(equality)]) ).
cnf(298,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[77,207,theory(equality)]) ).
cnf(330,plain,
( r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))
| v3_struct_0(X2)
| ~ m1_group_2(k5_group_4(X2,X1),X2)
| ~ v1_group_1(k5_group_4(X2,X1))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(er,[status(thm)],[99,theory(equality)]) ).
cnf(332,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0)
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(spm,[status(thm)],[129,125,theory(equality)]) ).
cnf(334,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false
| ~ v1_funct_1(esk8_0)
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(rw,[status(thm)],[332,132,theory(equality)]) ).
cnf(335,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false
| $false
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(rw,[status(thm)],[334,133,theory(equality)]) ).
cnf(336,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(cn,[status(thm)],[335,theory(equality)]) ).
cnf(430,negated_conjecture,
v1_relat_1(esk8_0),
inference(spm,[status(thm)],[298,131,theory(equality)]) ).
cnf(712,plain,
( r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))
| v3_struct_0(X2)
| ~ m1_group_2(k5_group_4(X2,X1),X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[330,233]) ).
cnf(713,plain,
( r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(csr,[status(thm)],[712,232]) ).
cnf(776,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false ),
inference(rw,[status(thm)],[336,286,theory(equality)]) ).
cnf(777,negated_conjecture,
~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k2_funct_2(u1_struct_0(esk6_0),u1_struct_0(esk7_0),esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))),
inference(cn,[status(thm)],[776,theory(equality)]) ).
cnf(779,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k9_relat_1(esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| ~ v1_funct_2(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ v1_funct_1(esk8_0)
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(spm,[status(thm)],[777,125,theory(equality)]) ).
cnf(780,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k9_relat_1(esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false
| ~ v1_funct_1(esk8_0)
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(rw,[status(thm)],[779,132,theory(equality)]) ).
cnf(781,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k9_relat_1(esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false
| $false
| ~ m1_relset_1(esk8_0,u1_struct_0(esk6_0),u1_struct_0(esk7_0)) ),
inference(rw,[status(thm)],[780,133,theory(equality)]) ).
cnf(782,negated_conjecture,
( ~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k9_relat_1(esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[781,286,theory(equality)]) ).
cnf(783,negated_conjecture,
~ r1_tarski(k9_relat_1(esk8_0,esk9_0),k9_relat_1(esk8_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))),
inference(cn,[status(thm)],[782,theory(equality)]) ).
cnf(785,negated_conjecture,
( ~ r1_tarski(esk9_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))
| ~ v1_relat_1(esk8_0) ),
inference(spm,[status(thm)],[783,274,theory(equality)]) ).
cnf(786,negated_conjecture,
( ~ r1_tarski(esk9_0,u1_struct_0(k5_group_4(esk6_0,esk9_0)))
| $false ),
inference(rw,[status(thm)],[785,430,theory(equality)]) ).
cnf(787,negated_conjecture,
~ r1_tarski(esk9_0,u1_struct_0(k5_group_4(esk6_0,esk9_0))),
inference(cn,[status(thm)],[786,theory(equality)]) ).
cnf(789,negated_conjecture,
( v3_struct_0(esk6_0)
| ~ l1_group_1(esk6_0)
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0)
| ~ m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0))) ),
inference(spm,[status(thm)],[787,713,theory(equality)]) ).
cnf(790,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| ~ v4_group_1(esk6_0)
| ~ v3_group_1(esk6_0)
| ~ m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0))) ),
inference(rw,[status(thm)],[789,138,theory(equality)]) ).
cnf(791,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| $false
| ~ v3_group_1(esk6_0)
| ~ m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0))) ),
inference(rw,[status(thm)],[790,139,theory(equality)]) ).
cnf(792,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk9_0,k1_zfmisc_1(u1_struct_0(esk6_0))) ),
inference(rw,[status(thm)],[791,140,theory(equality)]) ).
cnf(793,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[792,130,theory(equality)]) ).
cnf(794,negated_conjecture,
v3_struct_0(esk6_0),
inference(cn,[status(thm)],[793,theory(equality)]) ).
cnf(795,negated_conjecture,
$false,
inference(sr,[status(thm)],[794,141,theory(equality)]) ).
cnf(796,negated_conjecture,
$false,
795,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP639+1.p
% --creating new selector for []
% -running prover on /tmp/tmpXhJ7Jm/sel_GRP639+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP639+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP639+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP639+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
%
%------------------------------------------------------------------------------