TSTP Solution File: GRP637+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP637+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 10:46:41 EST 2010
% Result : Theorem 0.41s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 10
% Syntax : Number of formulae : 141 ( 30 unt; 0 def)
% Number of atoms : 736 ( 40 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 918 ( 323 ~; 397 |; 146 &)
% ( 5 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 193 ( 4 sgn 126 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',redefinition_m1_group_6) ).
fof(4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',d5_group_2) ).
fof(5,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',cc1_relset_1) ).
fof(8,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',redefinition_m2_relset_1) ).
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/tmpVOaeB0/sel_GRP637+1.p_1',redefinition_k2_funct_2) ).
fof(28,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))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X2)
=> ! [X7] :
( m1_group_2(X7,X2)
=> ( ( u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5) )
=> m1_group_6(X6,X2,X7) ) ) ) ) ) ) ) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',t10_latsubgr) ).
fof(29,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',dt_m1_group_2) ).
fof(30,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)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
file('/tmp/tmpVOaeB0/sel_GRP637+1.p_1',t66_group_2) ).
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/tmpVOaeB0/sel_GRP637+1.p_1',dt_m2_relset_1) ).
fof(55,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/tmpVOaeB0/sel_GRP637+1.p_1',t156_relat_1) ).
fof(56,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))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X2)
=> ! [X7] :
( m1_group_2(X7,X2)
=> ( ( u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5) )
=> m1_group_6(X6,X2,X7) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(57,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X1)
=> ! [X5] :
( m1_group_2(X5,X1)
=> ! [X6] :
( m1_group_2(X6,X2)
=> ! [X7] :
( m1_group_2(X7,X2)
=> ( ( u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5) )
=> m1_group_6(X6,X2,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[29,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)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[30,theory(equality)]) ).
fof(79,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ! [X3] :
( ( ~ m1_group_6(X3,X1,X2)
| m1_group_2(X3,X2) )
& ( ~ m1_group_2(X3,X2)
| m1_group_6(X3,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(80,plain,
! [X4,X5] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ! [X6] :
( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5) )
& ( ~ m1_group_2(X6,X5)
| m1_group_6(X6,X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[79]) ).
fof(81,plain,
! [X4,X5,X6] :
( ( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5) )
& ( ~ m1_group_2(X6,X5)
| m1_group_6(X6,X4,X5) ) )
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4) ),
inference(shift_quantors,[status(thm)],[80]) ).
fof(82,plain,
! [X4,X5,X6] :
( ( ~ m1_group_6(X6,X4,X5)
| m1_group_2(X6,X5)
| 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,X5)
| m1_group_6(X6,X4,X5)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4) ) ),
inference(distribute,[status(thm)],[81]) ).
cnf(83,plain,
( v3_struct_0(X2)
| m1_group_6(X3,X2,X1)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(84,plain,
( v3_struct_0(X2)
| m1_group_2(X3,X1)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_6(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(85,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| ( ( ~ m1_group_2(X2,X1)
| ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) )
& ( ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| u1_group_1(X2) != k1_realset1(u1_group_1(X1),u1_struct_0(X2))
| m1_group_2(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[58]) ).
fof(86,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ( ( ~ m1_group_2(X4,X3)
| ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
& u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4)) ) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[85]) ).
fof(87,plain,
! [X3,X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ( ( ~ m1_group_2(X4,X3)
| ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
& u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4)) ) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3) ) )
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[86]) ).
fof(88,plain,
! [X3,X4] :
( ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| ~ m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( u1_group_1(X4) = k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| ~ m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u1_group_1(X4) != k1_realset1(u1_group_1(X3),u1_struct_0(X4))
| m1_group_2(X4,X3)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[87]) ).
cnf(91,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[88]) ).
fof(92,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)],[5]) ).
fof(93,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)],[92]) ).
cnf(94,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[93]) ).
fof(103,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)],[8]) ).
fof(104,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)],[103]) ).
cnf(106,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[104]) ).
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(163,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))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& ? [X4] :
( m1_group_2(X4,X1)
& ? [X5] :
( m1_group_2(X5,X1)
& ? [X6] :
( m1_group_2(X6,X2)
& ? [X7] :
( m1_group_2(X7,X2)
& u1_struct_0(X6) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k2_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X1,X5)
& ~ m1_group_6(X6,X2,X7) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[65]) ).
fof(164,negated_conjecture,
? [X8] :
( ~ v3_struct_0(X8)
& v3_group_1(X8)
& v4_group_1(X8)
& l1_group_1(X8)
& ? [X9] :
( ~ v3_struct_0(X9)
& v3_group_1(X9)
& v4_group_1(X9)
& l1_group_1(X9)
& ? [X10] :
( v1_funct_1(X10)
& v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
& v1_group_6(X10,X8,X9)
& m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
& ? [X11] :
( m1_group_2(X11,X8)
& ? [X12] :
( m1_group_2(X12,X8)
& ? [X13] :
( m1_group_2(X13,X9)
& ? [X14] :
( m1_group_2(X14,X9)
& u1_struct_0(X13) = k2_funct_2(u1_struct_0(X8),u1_struct_0(X9),X10,u1_struct_0(X11))
& u1_struct_0(X14) = k2_funct_2(u1_struct_0(X8),u1_struct_0(X9),X10,u1_struct_0(X12))
& m1_group_6(X11,X8,X12)
& ~ m1_group_6(X13,X9,X14) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[163]) ).
fof(165,negated_conjecture,
( ~ v3_struct_0(esk8_0)
& v3_group_1(esk8_0)
& v4_group_1(esk8_0)
& l1_group_1(esk8_0)
& ~ v3_struct_0(esk9_0)
& v3_group_1(esk9_0)
& v4_group_1(esk9_0)
& l1_group_1(esk9_0)
& v1_funct_1(esk10_0)
& v1_funct_2(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0))
& v1_group_6(esk10_0,esk8_0,esk9_0)
& m2_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0))
& m1_group_2(esk11_0,esk8_0)
& m1_group_2(esk12_0,esk8_0)
& m1_group_2(esk13_0,esk9_0)
& m1_group_2(esk14_0,esk9_0)
& u1_struct_0(esk13_0) = k2_funct_2(u1_struct_0(esk8_0),u1_struct_0(esk9_0),esk10_0,u1_struct_0(esk11_0))
& u1_struct_0(esk14_0) = k2_funct_2(u1_struct_0(esk8_0),u1_struct_0(esk9_0),esk10_0,u1_struct_0(esk12_0))
& m1_group_6(esk11_0,esk8_0,esk12_0)
& ~ m1_group_6(esk13_0,esk9_0,esk14_0) ),
inference(skolemize,[status(esa)],[164]) ).
cnf(166,negated_conjecture,
~ m1_group_6(esk13_0,esk9_0,esk14_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(167,negated_conjecture,
m1_group_6(esk11_0,esk8_0,esk12_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(168,negated_conjecture,
u1_struct_0(esk14_0) = k2_funct_2(u1_struct_0(esk8_0),u1_struct_0(esk9_0),esk10_0,u1_struct_0(esk12_0)),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(169,negated_conjecture,
u1_struct_0(esk13_0) = k2_funct_2(u1_struct_0(esk8_0),u1_struct_0(esk9_0),esk10_0,u1_struct_0(esk11_0)),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(170,negated_conjecture,
m1_group_2(esk14_0,esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(171,negated_conjecture,
m1_group_2(esk13_0,esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(172,negated_conjecture,
m1_group_2(esk12_0,esk8_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(174,negated_conjecture,
m2_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(176,negated_conjecture,
v1_funct_2(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(177,negated_conjecture,
v1_funct_1(esk10_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(178,negated_conjecture,
l1_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(179,negated_conjecture,
v4_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(180,negated_conjecture,
v3_group_1(esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(181,negated_conjecture,
~ v3_struct_0(esk9_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(182,negated_conjecture,
l1_group_1(esk8_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(183,negated_conjecture,
v4_group_1(esk8_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(184,negated_conjecture,
v3_group_1(esk8_0),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(185,negated_conjecture,
~ v3_struct_0(esk8_0),
inference(split_conjunct,[status(thm)],[165]) ).
fof(186,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(187,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) ) ) ),
inference(variable_rename,[status(thm)],[186]) ).
fof(188,plain,
! [X3,X4] :
( ~ m1_group_2(X4,X3)
| ( ~ v3_struct_0(X4)
& v3_group_1(X4)
& l1_group_1(X4) )
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[187]) ).
fof(189,plain,
! [X3,X4] :
( ( ~ v3_struct_0(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( v3_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( l1_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[188]) ).
cnf(190,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(191,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(192,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[189]) ).
fof(193,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)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| m1_group_2(X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(194,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ m1_group_2(X5,X4)
| ! [X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| m1_group_2(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[193]) ).
fof(195,plain,
! [X4,X5,X6] :
( ~ m1_group_2(X6,X4)
| ~ r1_tarski(u1_struct_0(X5),u1_struct_0(X6))
| m1_group_2(X5,X6)
| ~ 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)],[194]) ).
cnf(196,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_group_2(X3,X1) ),
inference(split_conjunct,[status(thm)],[195]) ).
fof(207,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(208,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)],[207]) ).
cnf(209,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[208]) ).
fof(279,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)],[55]) ).
fof(280,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)],[279]) ).
cnf(281,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)],[280]) ).
cnf(288,negated_conjecture,
( v3_group_1(esk12_0)
| v3_struct_0(esk8_0)
| ~ l1_group_1(esk8_0)
| ~ v3_group_1(esk8_0) ),
inference(spm,[status(thm)],[191,172,theory(equality)]) ).
cnf(295,negated_conjecture,
( v3_group_1(esk12_0)
| v3_struct_0(esk8_0)
| $false
| ~ v3_group_1(esk8_0) ),
inference(rw,[status(thm)],[288,182,theory(equality)]) ).
cnf(296,negated_conjecture,
( v3_group_1(esk12_0)
| v3_struct_0(esk8_0)
| $false
| $false ),
inference(rw,[status(thm)],[295,184,theory(equality)]) ).
cnf(297,negated_conjecture,
( v3_group_1(esk12_0)
| v3_struct_0(esk8_0) ),
inference(cn,[status(thm)],[296,theory(equality)]) ).
cnf(298,negated_conjecture,
v3_group_1(esk12_0),
inference(sr,[status(thm)],[297,185,theory(equality)]) ).
cnf(308,negated_conjecture,
( l1_group_1(esk12_0)
| v3_struct_0(esk8_0)
| ~ l1_group_1(esk8_0)
| ~ v3_group_1(esk8_0) ),
inference(spm,[status(thm)],[190,172,theory(equality)]) ).
cnf(315,negated_conjecture,
( l1_group_1(esk12_0)
| v3_struct_0(esk8_0)
| $false
| ~ v3_group_1(esk8_0) ),
inference(rw,[status(thm)],[308,182,theory(equality)]) ).
cnf(316,negated_conjecture,
( l1_group_1(esk12_0)
| v3_struct_0(esk8_0)
| $false
| $false ),
inference(rw,[status(thm)],[315,184,theory(equality)]) ).
cnf(317,negated_conjecture,
( l1_group_1(esk12_0)
| v3_struct_0(esk8_0) ),
inference(cn,[status(thm)],[316,theory(equality)]) ).
cnf(318,negated_conjecture,
l1_group_1(esk12_0),
inference(sr,[status(thm)],[317,185,theory(equality)]) ).
cnf(328,negated_conjecture,
( v3_struct_0(esk8_0)
| ~ l1_group_1(esk8_0)
| ~ v3_group_1(esk8_0)
| ~ v3_struct_0(esk12_0) ),
inference(spm,[status(thm)],[192,172,theory(equality)]) ).
cnf(335,negated_conjecture,
( v3_struct_0(esk8_0)
| $false
| ~ v3_group_1(esk8_0)
| ~ v3_struct_0(esk12_0) ),
inference(rw,[status(thm)],[328,182,theory(equality)]) ).
cnf(336,negated_conjecture,
( v3_struct_0(esk8_0)
| $false
| $false
| ~ v3_struct_0(esk12_0) ),
inference(rw,[status(thm)],[335,184,theory(equality)]) ).
cnf(337,negated_conjecture,
( v3_struct_0(esk8_0)
| ~ v3_struct_0(esk12_0) ),
inference(cn,[status(thm)],[336,theory(equality)]) ).
cnf(338,negated_conjecture,
~ v3_struct_0(esk12_0),
inference(sr,[status(thm)],[337,185,theory(equality)]) ).
cnf(354,negated_conjecture,
m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)),
inference(spm,[status(thm)],[106,174,theory(equality)]) ).
cnf(370,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[94,209,theory(equality)]) ).
cnf(376,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0)
| ~ m1_group_2(esk14_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(spm,[status(thm)],[166,83,theory(equality)]) ).
cnf(377,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0)
| $false
| ~ l1_group_1(esk9_0)
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[376,170,theory(equality)]) ).
cnf(378,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0)
| $false
| $false
| ~ v4_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[377,178,theory(equality)]) ).
cnf(379,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0)
| $false
| $false
| $false
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[378,179,theory(equality)]) ).
cnf(380,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[379,180,theory(equality)]) ).
cnf(381,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk13_0,esk14_0) ),
inference(cn,[status(thm)],[380,theory(equality)]) ).
cnf(382,negated_conjecture,
~ m1_group_2(esk13_0,esk14_0),
inference(sr,[status(thm)],[381,181,theory(equality)]) ).
cnf(391,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0)
| ~ m1_group_2(esk12_0,esk8_0)
| ~ l1_group_1(esk8_0)
| ~ v4_group_1(esk8_0)
| ~ v3_group_1(esk8_0) ),
inference(spm,[status(thm)],[84,167,theory(equality)]) ).
cnf(393,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0)
| $false
| ~ l1_group_1(esk8_0)
| ~ v4_group_1(esk8_0)
| ~ v3_group_1(esk8_0) ),
inference(rw,[status(thm)],[391,172,theory(equality)]) ).
cnf(394,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0)
| $false
| $false
| ~ v4_group_1(esk8_0)
| ~ v3_group_1(esk8_0) ),
inference(rw,[status(thm)],[393,182,theory(equality)]) ).
cnf(395,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0)
| $false
| $false
| $false
| ~ v3_group_1(esk8_0) ),
inference(rw,[status(thm)],[394,183,theory(equality)]) ).
cnf(396,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[395,184,theory(equality)]) ).
cnf(397,negated_conjecture,
( m1_group_2(esk11_0,esk12_0)
| v3_struct_0(esk8_0) ),
inference(cn,[status(thm)],[396,theory(equality)]) ).
cnf(398,negated_conjecture,
m1_group_2(esk11_0,esk12_0),
inference(sr,[status(thm)],[397,185,theory(equality)]) ).
cnf(409,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[91,190]) ).
cnf(410,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[409,191]) ).
cnf(411,plain,
( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[410,192]) ).
cnf(415,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0)
| ~ v1_funct_2(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0))
| ~ v1_funct_1(esk10_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(spm,[status(thm)],[169,125,theory(equality)]) ).
cnf(416,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| ~ v1_funct_2(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0))
| ~ v1_funct_1(esk10_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(spm,[status(thm)],[168,125,theory(equality)]) ).
cnf(417,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0)
| $false
| ~ v1_funct_1(esk10_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(rw,[status(thm)],[415,176,theory(equality)]) ).
cnf(418,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0)
| $false
| $false
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(rw,[status(thm)],[417,177,theory(equality)]) ).
cnf(419,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(cn,[status(thm)],[418,theory(equality)]) ).
cnf(420,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| $false
| ~ v1_funct_1(esk10_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(rw,[status(thm)],[416,176,theory(equality)]) ).
cnf(421,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| $false
| $false
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(rw,[status(thm)],[420,177,theory(equality)]) ).
cnf(422,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| ~ m1_relset_1(esk10_0,u1_struct_0(esk8_0),u1_struct_0(esk9_0)) ),
inference(cn,[status(thm)],[421,theory(equality)]) ).
cnf(506,negated_conjecture,
v1_relat_1(esk10_0),
inference(spm,[status(thm)],[370,174,theory(equality)]) ).
cnf(630,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0)
| $false ),
inference(rw,[status(thm)],[419,354,theory(equality)]) ).
cnf(631,negated_conjecture,
k9_relat_1(esk10_0,u1_struct_0(esk11_0)) = u1_struct_0(esk13_0),
inference(cn,[status(thm)],[630,theory(equality)]) ).
cnf(632,negated_conjecture,
( r1_tarski(u1_struct_0(esk13_0),k9_relat_1(esk10_0,X1))
| ~ v1_relat_1(esk10_0)
| ~ r1_tarski(u1_struct_0(esk11_0),X1) ),
inference(spm,[status(thm)],[281,631,theory(equality)]) ).
cnf(634,negated_conjecture,
( r1_tarski(u1_struct_0(esk13_0),k9_relat_1(esk10_0,X1))
| $false
| ~ r1_tarski(u1_struct_0(esk11_0),X1) ),
inference(rw,[status(thm)],[632,506,theory(equality)]) ).
cnf(635,negated_conjecture,
( r1_tarski(u1_struct_0(esk13_0),k9_relat_1(esk10_0,X1))
| ~ r1_tarski(u1_struct_0(esk11_0),X1) ),
inference(cn,[status(thm)],[634,theory(equality)]) ).
cnf(638,negated_conjecture,
( k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0)
| $false ),
inference(rw,[status(thm)],[422,354,theory(equality)]) ).
cnf(639,negated_conjecture,
k9_relat_1(esk10_0,u1_struct_0(esk12_0)) = u1_struct_0(esk14_0),
inference(cn,[status(thm)],[638,theory(equality)]) ).
cnf(2112,negated_conjecture,
( r1_tarski(u1_struct_0(esk13_0),u1_struct_0(esk14_0))
| ~ r1_tarski(u1_struct_0(esk11_0),u1_struct_0(esk12_0)) ),
inference(spm,[status(thm)],[635,639,theory(equality)]) ).
cnf(2163,negated_conjecture,
( m1_group_2(esk13_0,esk14_0)
| v3_struct_0(X1)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ r1_tarski(u1_struct_0(esk11_0),u1_struct_0(esk12_0)) ),
inference(spm,[status(thm)],[196,2112,theory(equality)]) ).
cnf(2166,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ r1_tarski(u1_struct_0(esk11_0),u1_struct_0(esk12_0)) ),
inference(sr,[status(thm)],[2163,382,theory(equality)]) ).
cnf(2991,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk12_0)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(esk11_0,esk12_0)
| ~ l1_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(spm,[status(thm)],[2166,411,theory(equality)]) ).
cnf(2992,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk12_0)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| ~ l1_group_1(esk12_0)
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[2991,398,theory(equality)]) ).
cnf(2993,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk12_0)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| $false
| ~ v3_group_1(esk12_0) ),
inference(rw,[status(thm)],[2992,318,theory(equality)]) ).
cnf(2994,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk12_0)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2993,298,theory(equality)]) ).
cnf(2995,negated_conjecture,
( v3_struct_0(X1)
| v3_struct_0(esk12_0)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(cn,[status(thm)],[2994,theory(equality)]) ).
cnf(2996,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk14_0,X1)
| ~ m1_group_2(esk13_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[2995,338,theory(equality)]) ).
cnf(2998,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ m1_group_2(esk14_0,esk9_0)
| ~ m1_group_2(esk13_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(spm,[status(thm)],[2996,179,theory(equality)]) ).
cnf(3003,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| ~ m1_group_2(esk13_0,esk9_0)
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[2998,170,theory(equality)]) ).
cnf(3004,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| ~ l1_group_1(esk9_0)
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[3003,171,theory(equality)]) ).
cnf(3005,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| $false
| ~ v3_group_1(esk9_0) ),
inference(rw,[status(thm)],[3004,178,theory(equality)]) ).
cnf(3006,negated_conjecture,
( v3_struct_0(esk9_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3005,180,theory(equality)]) ).
cnf(3007,negated_conjecture,
v3_struct_0(esk9_0),
inference(cn,[status(thm)],[3006,theory(equality)]) ).
cnf(3008,negated_conjecture,
$false,
inference(sr,[status(thm)],[3007,181,theory(equality)]) ).
cnf(3009,negated_conjecture,
$false,
3008,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP637+1.p
% --creating new selector for []
% -running prover on /tmp/tmpVOaeB0/sel_GRP637+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP637+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP637+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP637+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
%
%------------------------------------------------------------------------------