TSTP Solution File: GRP628+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP628+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 10:29:37 EST 2010
% Result : Theorem 0.85s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 7
% Syntax : Number of formulae : 118 ( 18 unt; 0 def)
% Number of atoms : 751 ( 62 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 997 ( 364 ~; 481 |; 108 &)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 79 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',t11_autgroup) ).
fof(18,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',t22_autgroup) ).
fof(48,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',dt_k5_autgroup) ).
fof(49,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',dt_k3_autgroup) ).
fof(51,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',t57_group_2) ).
fof(59,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',t51_group_2) ).
fof(64,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('/tmp/tmpaZmGvY/sel_GRP628+1.p_1',t13_autgroup) ).
fof(78,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(79,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(84,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
=> ( X2 = X3
=> k2_funct_1(X2) = k3_group_1(k5_autgroup(X1),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[78,theory(equality)]) ).
fof(97,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).
fof(98,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[49,theory(equality)]) ).
fof(99,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(104,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[59,theory(equality)]) ).
fof(105,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[64,theory(equality)]) ).
fof(128,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X1)))
| X2 != X3
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3) ) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(129,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ m2_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4),k1_autgroup(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(k3_autgroup(X4)))
| X5 != X6
| k2_funct_1(X5) = k3_group_1(k3_autgroup(X4),X6) ) ) ),
inference(variable_rename,[status(thm)],[128]) ).
fof(130,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(k3_autgroup(X4)))
| X5 != X6
| k2_funct_1(X5) = k3_group_1(k3_autgroup(X4),X6)
| ~ m2_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4),k1_autgroup(X4))
| v3_struct_0(X4)
| ~ v1_group_1(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[129]) ).
cnf(131,plain,
( v3_struct_0(X1)
| k2_funct_1(X2) = k3_group_1(k3_autgroup(X1),X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| X2 != X3
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X1))) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(176,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& ? [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(k5_autgroup(X1)))
& X2 = X3
& k2_funct_1(X2) != k3_group_1(k5_autgroup(X1),X3) ) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(177,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v1_group_1(X4)
& v3_group_1(X4)
& v4_group_1(X4)
& l1_group_1(X4)
& ? [X5] :
( m2_fraenkel(X5,u1_struct_0(X4),u1_struct_0(X4),k4_autgroup(X4))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(k5_autgroup(X4)))
& X5 = X6
& k2_funct_1(X5) != k3_group_1(k5_autgroup(X4),X6) ) ) ),
inference(variable_rename,[status(thm)],[176]) ).
fof(178,negated_conjecture,
( ~ v3_struct_0(esk5_0)
& v1_group_1(esk5_0)
& v3_group_1(esk5_0)
& v4_group_1(esk5_0)
& l1_group_1(esk5_0)
& m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k4_autgroup(esk5_0))
& m1_subset_1(esk7_0,u1_struct_0(k5_autgroup(esk5_0)))
& esk6_0 = esk7_0
& k2_funct_1(esk6_0) != k3_group_1(k5_autgroup(esk5_0),esk7_0) ),
inference(skolemize,[status(esa)],[177]) ).
cnf(179,negated_conjecture,
k2_funct_1(esk6_0) != k3_group_1(k5_autgroup(esk5_0),esk7_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(180,negated_conjecture,
esk6_0 = esk7_0,
inference(split_conjunct,[status(thm)],[178]) ).
cnf(181,negated_conjecture,
m1_subset_1(esk7_0,u1_struct_0(k5_autgroup(esk5_0))),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(182,negated_conjecture,
m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k4_autgroup(esk5_0)),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(183,negated_conjecture,
l1_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(184,negated_conjecture,
v4_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(185,negated_conjecture,
v3_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(186,negated_conjecture,
v1_group_1(esk5_0),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(187,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(split_conjunct,[status(thm)],[178]) ).
fof(315,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( v1_group_1(k5_autgroup(X1))
& v1_group_3(k5_autgroup(X1),k3_autgroup(X1))
& m1_group_2(k5_autgroup(X1),k3_autgroup(X1)) ) ),
inference(fof_nnf,[status(thm)],[97]) ).
fof(316,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( v1_group_1(k5_autgroup(X2))
& v1_group_3(k5_autgroup(X2),k3_autgroup(X2))
& m1_group_2(k5_autgroup(X2),k3_autgroup(X2)) ) ),
inference(variable_rename,[status(thm)],[315]) ).
fof(317,plain,
! [X2] :
( ( v1_group_1(k5_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v1_group_3(k5_autgroup(X2),k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( m1_group_2(k5_autgroup(X2),k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[316]) ).
cnf(318,plain,
( v3_struct_0(X1)
| m1_group_2(k5_autgroup(X1),k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[317]) ).
fof(321,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ( ~ v3_struct_0(k3_autgroup(X1))
& v1_group_1(k3_autgroup(X1))
& v3_group_1(k3_autgroup(X1))
& v4_group_1(k3_autgroup(X1))
& l1_group_1(k3_autgroup(X1)) ) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(322,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ( ~ v3_struct_0(k3_autgroup(X2))
& v1_group_1(k3_autgroup(X2))
& v3_group_1(k3_autgroup(X2))
& v4_group_1(k3_autgroup(X2))
& l1_group_1(k3_autgroup(X2)) ) ),
inference(variable_rename,[status(thm)],[321]) ).
fof(323,plain,
! [X2] :
( ( ~ v3_struct_0(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v1_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v3_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( v4_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
& ( l1_group_1(k3_autgroup(X2))
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ) ),
inference(distribute,[status(thm)],[322]) ).
cnf(324,plain,
( v3_struct_0(X1)
| l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[323]) ).
cnf(325,plain,
( v3_struct_0(X1)
| v4_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[323]) ).
cnf(326,plain,
( v3_struct_0(X1)
| v3_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[323]) ).
cnf(328,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_struct_0(k3_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[323]) ).
fof(332,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_group_2(X3,X1)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| X4 != X2
| k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(333,plain,
! [X5] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X5))
| ! [X7] :
( ~ m1_group_2(X7,X5)
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X7))
| X8 != X6
| k3_group_1(X7,X8) = k3_group_1(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[332]) ).
fof(334,plain,
! [X5,X6,X7,X8] :
( ~ m1_subset_1(X8,u1_struct_0(X7))
| X8 != X6
| k3_group_1(X7,X8) = k3_group_1(X5,X6)
| ~ m1_group_2(X7,X5)
| ~ m1_subset_1(X6,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)],[333]) ).
cnf(335,plain,
( v3_struct_0(X1)
| k3_group_1(X3,X4) = k3_group_1(X1,X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| X4 != X2
| ~ m1_subset_1(X4,u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[334]) ).
fof(364,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X2))
| m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(365,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ! [X5] :
( ~ m1_group_2(X5,X4)
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X5))
| m1_subset_1(X6,u1_struct_0(X4)) ) ) ),
inference(variable_rename,[status(thm)],[364]) ).
fof(366,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X5))
| m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4) ),
inference(shift_quantors,[status(thm)],[365]) ).
cnf(367,plain,
( v3_struct_0(X1)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[366]) ).
fof(378,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ! [X2] :
( ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_nnf,[status(thm)],[105]) ).
fof(379,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ! [X4] :
( ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
| m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)) ) ),
inference(variable_rename,[status(thm)],[378]) ).
fof(380,plain,
! [X3,X4] :
( ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
| m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3))
| v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3) ),
inference(shift_quantors,[status(thm)],[379]) ).
cnf(381,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
inference(split_conjunct,[status(thm)],[380]) ).
cnf(440,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))),
inference(rw,[status(thm)],[181,180,theory(equality)]) ).
cnf(444,negated_conjecture,
k3_group_1(k5_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0),
inference(rw,[status(thm)],[179,180,theory(equality)]) ).
cnf(507,negated_conjecture,
( v3_struct_0(X1)
| m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_group_2(k5_autgroup(esk5_0),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(spm,[status(thm)],[367,440,theory(equality)]) ).
cnf(524,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(spm,[status(thm)],[381,182,theory(equality)]) ).
cnf(527,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[524,183,theory(equality)]) ).
cnf(528,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[527,184,theory(equality)]) ).
cnf(529,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[528,185,theory(equality)]) ).
cnf(530,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[529,186,theory(equality)]) ).
cnf(531,negated_conjecture,
( m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0))
| v3_struct_0(esk5_0) ),
inference(cn,[status(thm)],[530,theory(equality)]) ).
cnf(532,negated_conjecture,
m2_fraenkel(esk6_0,u1_struct_0(esk5_0),u1_struct_0(esk5_0),k1_autgroup(esk5_0)),
inference(sr,[status(thm)],[531,187,theory(equality)]) ).
cnf(538,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(er,[status(thm)],[335,theory(equality)]) ).
cnf(555,plain,
( k3_group_1(k3_autgroup(X1),X2) = k2_funct_1(X2)
| v3_struct_0(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X1))) ),
inference(er,[status(thm)],[131,theory(equality)]) ).
cnf(730,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0))
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(spm,[status(thm)],[507,318,theory(equality)]) ).
cnf(731,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0))
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[730,183,theory(equality)]) ).
cnf(732,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0))
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[731,184,theory(equality)]) ).
cnf(733,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0))
| $false
| $false
| $false
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[732,185,theory(equality)]) ).
cnf(734,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[733,186,theory(equality)]) ).
cnf(735,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0)) ),
inference(cn,[status(thm)],[734,theory(equality)]) ).
cnf(736,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0)))
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0)) ),
inference(sr,[status(thm)],[735,187,theory(equality)]) ).
cnf(1224,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(csr,[status(thm)],[538,367]) ).
cnf(1228,plain,
( k3_group_1(k3_autgroup(X1),X2) = k3_group_1(k5_autgroup(X1),X2)
| v3_struct_0(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(k3_autgroup(X1))
| ~ v4_group_1(k3_autgroup(X1))
| ~ v3_group_1(k3_autgroup(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(spm,[status(thm)],[1224,318,theory(equality)]) ).
cnf(1368,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(spm,[status(thm)],[555,532,theory(equality)]) ).
cnf(1373,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[1368,183,theory(equality)]) ).
cnf(1374,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[1373,184,theory(equality)]) ).
cnf(1375,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[1374,185,theory(equality)]) ).
cnf(1376,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[1375,186,theory(equality)]) ).
cnf(1377,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| v3_struct_0(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(cn,[status(thm)],[1376,theory(equality)]) ).
cnf(1378,negated_conjecture,
( k3_group_1(k3_autgroup(esk5_0),esk6_0) = k2_funct_1(esk6_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))) ),
inference(sr,[status(thm)],[1377,187,theory(equality)]) ).
cnf(8835,plain,
( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
| v3_struct_0(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(k3_autgroup(X1))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1))) ),
inference(csr,[status(thm)],[1228,326]) ).
cnf(8836,plain,
( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
| v3_struct_0(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(k3_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1))) ),
inference(csr,[status(thm)],[8835,325]) ).
cnf(8837,plain,
( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
| v3_struct_0(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1))) ),
inference(csr,[status(thm)],[8836,324]) ).
cnf(8838,plain,
( k3_group_1(k5_autgroup(X1),X2) = k3_group_1(k3_autgroup(X1),X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X1))) ),
inference(csr,[status(thm)],[8837,328]) ).
cnf(8839,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))) ),
inference(spm,[status(thm)],[444,8838,theory(equality)]) ).
cnf(8846,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[8839,183,theory(equality)]) ).
cnf(8847,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[8846,184,theory(equality)]) ).
cnf(8848,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| $false
| $false
| $false
| ~ v1_group_1(esk5_0)
| ~ m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[8847,185,theory(equality)]) ).
cnf(8849,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk6_0,u1_struct_0(k5_autgroup(esk5_0))) ),
inference(rw,[status(thm)],[8848,186,theory(equality)]) ).
cnf(8850,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0)
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8849,440,theory(equality)]) ).
cnf(8851,negated_conjecture,
( v3_struct_0(esk5_0)
| k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0) ),
inference(cn,[status(thm)],[8850,theory(equality)]) ).
cnf(8852,negated_conjecture,
k3_group_1(k3_autgroup(esk5_0),esk6_0) != k2_funct_1(esk6_0),
inference(sr,[status(thm)],[8851,187,theory(equality)]) ).
cnf(8853,negated_conjecture,
~ m1_subset_1(esk6_0,u1_struct_0(k3_autgroup(esk5_0))),
inference(spm,[status(thm)],[8852,1378,theory(equality)]) ).
cnf(8861,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ v3_group_1(k3_autgroup(esk5_0)) ),
inference(spm,[status(thm)],[8853,736,theory(equality)]) ).
cnf(8869,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(spm,[status(thm)],[8861,326,theory(equality)]) ).
cnf(8870,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8869,183,theory(equality)]) ).
cnf(8871,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8870,184,theory(equality)]) ).
cnf(8872,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| $false
| $false
| $false
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8871,185,theory(equality)]) ).
cnf(8873,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8872,186,theory(equality)]) ).
cnf(8874,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(cn,[status(thm)],[8873,theory(equality)]) ).
cnf(8875,negated_conjecture,
( v3_struct_0(k3_autgroup(esk5_0))
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(sr,[status(thm)],[8874,187,theory(equality)]) ).
cnf(8876,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(spm,[status(thm)],[328,8875,theory(equality)]) ).
cnf(8877,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(rw,[status(thm)],[8876,183,theory(equality)]) ).
cnf(8878,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(rw,[status(thm)],[8877,184,theory(equality)]) ).
cnf(8879,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v1_group_1(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(rw,[status(thm)],[8878,185,theory(equality)]) ).
cnf(8880,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(rw,[status(thm)],[8879,186,theory(equality)]) ).
cnf(8881,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ l1_group_1(k3_autgroup(esk5_0)) ),
inference(cn,[status(thm)],[8880,theory(equality)]) ).
cnf(8882,negated_conjecture,
~ l1_group_1(k3_autgroup(esk5_0)),
inference(sr,[status(thm)],[8881,187,theory(equality)]) ).
cnf(8883,negated_conjecture,
( v3_struct_0(esk5_0)
| ~ l1_group_1(esk5_0)
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(spm,[status(thm)],[8882,324,theory(equality)]) ).
cnf(8884,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| ~ v4_group_1(esk5_0)
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8883,183,theory(equality)]) ).
cnf(8885,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| ~ v3_group_1(esk5_0)
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8884,184,theory(equality)]) ).
cnf(8886,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| ~ v1_group_1(esk5_0) ),
inference(rw,[status(thm)],[8885,185,theory(equality)]) ).
cnf(8887,negated_conjecture,
( v3_struct_0(esk5_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8886,186,theory(equality)]) ).
cnf(8888,negated_conjecture,
v3_struct_0(esk5_0),
inference(cn,[status(thm)],[8887,theory(equality)]) ).
cnf(8889,negated_conjecture,
$false,
inference(sr,[status(thm)],[8888,187,theory(equality)]) ).
cnf(8890,negated_conjecture,
$false,
8889,
[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/GRP628+1.p
% --creating new selector for []
% -running prover on /tmp/tmpaZmGvY/sel_GRP628+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP628+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP628+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP628+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
%
%------------------------------------------------------------------------------