TSTP Solution File: GRP632+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GRP632+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 10:35:22 EST 2010
% Result : Theorem 0.66s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 14
% Syntax : Number of formulae : 152 ( 26 unt; 0 def)
% Number of atoms : 669 ( 77 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 799 ( 282 ~; 392 |; 101 &)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-6 aty)
% Number of variables : 201 ( 4 sgn 122 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1] :
( v1_partfun1(k6_partfun1(X1),X1,X1)
& m2_relset_1(k6_partfun1(X1),X1,X1) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',dt_k6_partfun1) ).
fof(8,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',redefinition_m2_relset_1) ).
fof(15,axiom,
! [X1] :
( v1_relat_1(k6_relat_1(X1))
& v1_funct_1(k6_relat_1(X1))
& v1_relat_2(k6_relat_1(X1))
& v3_relat_2(k6_relat_1(X1))
& v4_relat_2(k6_relat_1(X1))
& v8_relat_2(k6_relat_1(X1)) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',fc2_partfun1) ).
fof(16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',dt_k4_autgroup) ).
fof(23,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_relset_1(X5,X1,X2)
& m1_relset_1(X6,X3,X4) )
=> k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',redefinition_k7_relset_1) ).
fof(24,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',t23_funct_2) ).
fof(29,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',fc1_struct_0) ).
fof(32,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',cc1_funct_2) ).
fof(35,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))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) = X2
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) = X2 ) ) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',t30_autgroup) ).
fof(36,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',t24_autgroup) ).
fof(50,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',redefinition_k6_partfun1) ).
fof(56,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',dt_m2_fraenkel) ).
fof(63,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',redefinition_k7_funct_2) ).
fof(64,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpE-Ev0y/sel_GRP632+1.p_1',dt_l1_group_1) ).
fof(83,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))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) = X2
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) = X2 ) ) ),
inference(assume_negation,[status(cth)],[35]) ).
fof(86,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(92,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))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) = X2
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[83,theory(equality)]) ).
fof(93,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).
fof(99,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).
fof(103,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[63,theory(equality)]) ).
fof(117,plain,
! [X2] :
( v1_partfun1(k6_partfun1(X2),X2,X2)
& m2_relset_1(k6_partfun1(X2),X2,X2) ),
inference(variable_rename,[status(thm)],[4]) ).
cnf(118,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[117]) ).
cnf(119,plain,
v1_partfun1(k6_partfun1(X1),X1,X1),
inference(split_conjunct,[status(thm)],[117]) ).
fof(131,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(132,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)],[131]) ).
cnf(134,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(165,plain,
! [X2] :
( v1_relat_1(k6_relat_1(X2))
& v1_funct_1(k6_relat_1(X2))
& v1_relat_2(k6_relat_1(X2))
& v3_relat_2(k6_relat_1(X2))
& v4_relat_2(k6_relat_1(X2))
& v8_relat_2(k6_relat_1(X2)) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(170,plain,
v1_funct_1(k6_relat_1(X1)),
inference(split_conjunct,[status(thm)],[165]) ).
fof(172,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(173,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| m1_fraenkel(k4_autgroup(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[172]) ).
cnf(174,plain,
( m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[173]) ).
fof(200,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ m1_relset_1(X5,X1,X2)
| ~ m1_relset_1(X6,X3,X4)
| k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(201,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ m1_relset_1(X11,X7,X8)
| ~ m1_relset_1(X12,X9,X10)
| k7_relset_1(X7,X8,X9,X10,X11,X12) = k5_relat_1(X11,X12) ),
inference(variable_rename,[status(thm)],[200]) ).
cnf(202,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[201]) ).
fof(203,plain,
! [X1,X2,X3] :
( ~ m2_relset_1(X3,X1,X2)
| ( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
& k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3 ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(204,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| ( k7_relset_1(X4,X4,X4,X5,k6_partfun1(X4),X6) = X6
& k7_relset_1(X4,X5,X5,X5,X6,k6_partfun1(X5)) = X6 ) ),
inference(variable_rename,[status(thm)],[203]) ).
fof(205,plain,
! [X4,X5,X6] :
( ( k7_relset_1(X4,X4,X4,X5,k6_partfun1(X4),X6) = X6
| ~ m2_relset_1(X6,X4,X5) )
& ( k7_relset_1(X4,X5,X5,X5,X6,k6_partfun1(X5)) = X6
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[204]) ).
cnf(206,plain,
( k7_relset_1(X2,X3,X3,X3,X1,k6_partfun1(X3)) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[205]) ).
cnf(207,plain,
( k7_relset_1(X2,X2,X2,X3,k6_partfun1(X2),X1) = X1
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[205]) ).
fof(228,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[89]) ).
fof(229,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[228]) ).
cnf(230,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[229]) ).
fof(245,plain,
! [X1,X2,X3] :
( ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_1(X3)
| ~ v1_partfun1(X3,X1,X2)
| ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(246,plain,
! [X4,X5,X6] :
( ~ m1_relset_1(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_partfun1(X6,X4,X5)
| ( v1_funct_1(X6)
& v1_funct_2(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[245]) ).
fof(247,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ v1_funct_1(X6)
| ~ v1_partfun1(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5) )
& ( v1_funct_2(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_partfun1(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[246]) ).
cnf(248,plain,
( v1_funct_2(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[247]) ).
fof(257,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))
& ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),X2) != X2
| k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),X2,k6_autgroup(X1,k2_group_1(X1))) != X2 ) ) ),
inference(fof_nnf,[status(thm)],[92]) ).
fof(258,negated_conjecture,
? [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))
& ( k7_funct_2(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3),k6_autgroup(X3,k2_group_1(X3)),X4) != X4
| k7_funct_2(u1_struct_0(X3),u1_struct_0(X3),u1_struct_0(X3),X4,k6_autgroup(X3,k2_group_1(X3))) != X4 ) ) ),
inference(variable_rename,[status(thm)],[257]) ).
fof(259,negated_conjecture,
( ~ v3_struct_0(esk14_0)
& v1_group_1(esk14_0)
& v3_group_1(esk14_0)
& v4_group_1(esk14_0)
& l1_group_1(esk14_0)
& m2_fraenkel(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0),k4_autgroup(esk14_0))
& ( k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_autgroup(esk14_0,k2_group_1(esk14_0)),esk15_0) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_autgroup(esk14_0,k2_group_1(esk14_0))) != esk15_0 ) ),
inference(skolemize,[status(esa)],[258]) ).
cnf(260,negated_conjecture,
( k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_autgroup(esk14_0,k2_group_1(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_autgroup(esk14_0,k2_group_1(esk14_0)),esk15_0) != esk15_0 ),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(261,negated_conjecture,
m2_fraenkel(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0),k4_autgroup(esk14_0)),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(262,negated_conjecture,
l1_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(263,negated_conjecture,
v4_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(264,negated_conjecture,
v3_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(265,negated_conjecture,
v1_group_1(esk14_0),
inference(split_conjunct,[status(thm)],[259]) ).
cnf(266,negated_conjecture,
~ v3_struct_0(esk14_0),
inference(split_conjunct,[status(thm)],[259]) ).
fof(267,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[93]) ).
fof(268,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| k6_autgroup(X2,k2_group_1(X2)) = k6_partfun1(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[267]) ).
cnf(269,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[268]) ).
fof(324,plain,
! [X2] : k6_partfun1(X2) = k6_relat_1(X2),
inference(variable_rename,[status(thm)],[50]) ).
cnf(325,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[324]) ).
fof(341,plain,
! [X1,X2,X3] :
( v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ! [X4] :
( ~ m2_fraenkel(X4,X1,X2,X3)
| ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(342,plain,
! [X5,X6,X7] :
( v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6)
| ! [X8] :
( ~ m2_fraenkel(X8,X5,X6,X7)
| ( v1_funct_1(X8)
& v1_funct_2(X8,X5,X6)
& m2_relset_1(X8,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[341]) ).
fof(343,plain,
! [X5,X6,X7,X8] :
( ~ m2_fraenkel(X8,X5,X6,X7)
| ( v1_funct_1(X8)
& v1_funct_2(X8,X5,X6)
& m2_relset_1(X8,X5,X6) )
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ),
inference(shift_quantors,[status(thm)],[342]) ).
fof(344,plain,
! [X5,X6,X7,X8] :
( ( v1_funct_1(X8)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( v1_funct_2(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( m2_relset_1(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[343]) ).
cnf(345,plain,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[344]) ).
cnf(346,plain,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[344]) ).
cnf(347,plain,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[344]) ).
fof(374,plain,
! [X1,X2,X3,X4,X5] :
( v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3)
| k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(375,plain,
! [X6,X7,X8,X9,X10] :
( v1_xboole_0(X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,X6,X7)
| ~ m1_relset_1(X9,X6,X7)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,X7,X8)
| ~ m1_relset_1(X10,X7,X8)
| k7_funct_2(X6,X7,X8,X9,X10) = k5_relat_1(X9,X10) ),
inference(variable_rename,[status(thm)],[374]) ).
cnf(376,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[375]) ).
fof(377,plain,
! [X1] :
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(378,plain,
! [X2] :
( ~ l1_group_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[377]) ).
cnf(379,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[378]) ).
cnf(448,plain,
v1_funct_1(k6_partfun1(X1)),
inference(rw,[status(thm)],[170,325,theory(equality)]),
[unfolding] ).
cnf(482,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[230,379,theory(equality)]) ).
cnf(489,plain,
m1_relset_1(k6_partfun1(X1),X1,X1),
inference(spm,[status(thm)],[134,118,theory(equality)]) ).
cnf(523,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| v1_funct_1(esk15_0)
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(spm,[status(thm)],[347,261,theory(equality)]) ).
cnf(537,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v1_xboole_0(u1_struct_0(esk14_0))
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(spm,[status(thm)],[345,261,theory(equality)]) ).
cnf(540,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v1_xboole_0(u1_struct_0(esk14_0))
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(spm,[status(thm)],[346,261,theory(equality)]) ).
cnf(543,plain,
( v1_funct_2(k6_partfun1(X1),X1,X1)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| ~ v1_funct_1(k6_partfun1(X1)) ),
inference(spm,[status(thm)],[248,119,theory(equality)]) ).
cnf(545,plain,
( v1_funct_2(k6_partfun1(X1),X1,X1)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| $false ),
inference(rw,[status(thm)],[543,448,theory(equality)]) ).
cnf(546,plain,
( v1_funct_2(k6_partfun1(X1),X1,X1)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1) ),
inference(cn,[status(thm)],[545,theory(equality)]) ).
cnf(572,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[206,202,theory(equality)]) ).
cnf(573,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| ~ m1_relset_1(k6_partfun1(X1),X1,X1) ),
inference(spm,[status(thm)],[207,202,theory(equality)]) ).
cnf(600,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| ~ l1_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(spm,[status(thm)],[260,269,theory(equality)]) ).
cnf(601,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| $false
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[600,262,theory(equality)]) ).
cnf(602,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| $false
| $false
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[601,263,theory(equality)]) ).
cnf(603,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| $false
| $false
| $false
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[602,264,theory(equality)]) ).
cnf(604,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[603,265,theory(equality)]) ).
cnf(605,negated_conjecture,
( v3_struct_0(esk14_0)
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0 ),
inference(cn,[status(thm)],[604,theory(equality)]) ).
cnf(606,negated_conjecture,
( k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0 ),
inference(sr,[status(thm)],[605,266,theory(equality)]) ).
cnf(659,negated_conjecture,
( ~ l1_group_1(esk14_0)
| ~ v1_xboole_0(u1_struct_0(esk14_0)) ),
inference(spm,[status(thm)],[266,482,theory(equality)]) ).
cnf(663,negated_conjecture,
( $false
| ~ v1_xboole_0(u1_struct_0(esk14_0)) ),
inference(rw,[status(thm)],[659,262,theory(equality)]) ).
cnf(664,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk14_0)),
inference(cn,[status(thm)],[663,theory(equality)]) ).
cnf(786,negated_conjecture,
( v1_funct_1(esk15_0)
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(sr,[status(thm)],[523,664,theory(equality)]) ).
cnf(787,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0)
| ~ l1_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(spm,[status(thm)],[786,174,theory(equality)]) ).
cnf(788,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0)
| $false
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[787,262,theory(equality)]) ).
cnf(789,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0)
| $false
| $false
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[788,263,theory(equality)]) ).
cnf(790,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[789,264,theory(equality)]) ).
cnf(791,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[790,265,theory(equality)]) ).
cnf(792,negated_conjecture,
( v1_funct_1(esk15_0)
| v3_struct_0(esk14_0) ),
inference(cn,[status(thm)],[791,theory(equality)]) ).
cnf(793,negated_conjecture,
v1_funct_1(esk15_0),
inference(sr,[status(thm)],[792,266,theory(equality)]) ).
cnf(817,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(sr,[status(thm)],[537,664,theory(equality)]) ).
cnf(818,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| ~ l1_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(spm,[status(thm)],[817,174,theory(equality)]) ).
cnf(819,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[818,262,theory(equality)]) ).
cnf(820,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[819,263,theory(equality)]) ).
cnf(821,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[820,264,theory(equality)]) ).
cnf(822,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[821,265,theory(equality)]) ).
cnf(823,negated_conjecture,
( m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0) ),
inference(cn,[status(thm)],[822,theory(equality)]) ).
cnf(824,negated_conjecture,
m2_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0)),
inference(sr,[status(thm)],[823,266,theory(equality)]) ).
cnf(825,negated_conjecture,
m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0)),
inference(spm,[status(thm)],[134,824,theory(equality)]) ).
cnf(839,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_fraenkel(k4_autgroup(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0)) ),
inference(sr,[status(thm)],[540,664,theory(equality)]) ).
cnf(840,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| ~ l1_group_1(esk14_0)
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(spm,[status(thm)],[839,174,theory(equality)]) ).
cnf(841,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| ~ v4_group_1(esk14_0)
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[840,262,theory(equality)]) ).
cnf(842,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| ~ v3_group_1(esk14_0)
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[841,263,theory(equality)]) ).
cnf(843,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| ~ v1_group_1(esk14_0) ),
inference(rw,[status(thm)],[842,264,theory(equality)]) ).
cnf(844,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[843,265,theory(equality)]) ).
cnf(845,negated_conjecture,
( v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| v3_struct_0(esk14_0) ),
inference(cn,[status(thm)],[844,theory(equality)]) ).
cnf(846,negated_conjecture,
v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0)),
inference(sr,[status(thm)],[845,266,theory(equality)]) ).
cnf(886,plain,
( v1_funct_2(k6_partfun1(X1),X1,X1)
| $false ),
inference(rw,[status(thm)],[546,489,theory(equality)]) ).
cnf(887,plain,
v1_funct_2(k6_partfun1(X1),X1,X1),
inference(cn,[status(thm)],[886,theory(equality)]) ).
cnf(1196,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2)
| $false
| ~ m1_relset_1(X3,X1,X2) ),
inference(rw,[status(thm)],[572,489,theory(equality)]) ).
cnf(1197,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(cn,[status(thm)],[1196,theory(equality)]) ).
cnf(1198,plain,
( k5_relat_1(X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[1197,134]) ).
cnf(1201,negated_conjecture,
k5_relat_1(esk15_0,k6_partfun1(u1_struct_0(esk14_0))) = esk15_0,
inference(spm,[status(thm)],[1198,824,theory(equality)]) ).
cnf(1273,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2)
| $false ),
inference(rw,[status(thm)],[573,489,theory(equality)]) ).
cnf(1274,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
inference(cn,[status(thm)],[1273,theory(equality)]) ).
cnf(1275,plain,
( k5_relat_1(k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[1274,134]) ).
cnf(1278,negated_conjecture,
k5_relat_1(k6_partfun1(u1_struct_0(esk14_0)),esk15_0) = esk15_0,
inference(spm,[status(thm)],[1275,824,theory(equality)]) ).
cnf(1694,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| k5_relat_1(k6_partfun1(u1_struct_0(esk14_0)),esk15_0) != esk15_0
| ~ v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(spm,[status(thm)],[606,376,theory(equality)]) ).
cnf(1695,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| ~ v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1694,1278,theory(equality)]) ).
cnf(1696,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1695,846,theory(equality)]) ).
cnf(1697,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| $false
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1696,887,theory(equality)]) ).
cnf(1698,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| $false
| $false
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1697,825,theory(equality)]) ).
cnf(1699,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_1(esk15_0)
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1698,489,theory(equality)]) ).
cnf(1700,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0))) ),
inference(rw,[status(thm)],[1699,793,theory(equality)]) ).
cnf(1701,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1700,448,theory(equality)]) ).
cnf(1702,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0 ),
inference(cn,[status(thm)],[1701,theory(equality)]) ).
cnf(1703,negated_conjecture,
k7_funct_2(u1_struct_0(esk14_0),u1_struct_0(esk14_0),u1_struct_0(esk14_0),esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0,
inference(sr,[status(thm)],[1702,664,theory(equality)]) ).
cnf(4784,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| k5_relat_1(esk15_0,k6_partfun1(u1_struct_0(esk14_0))) != esk15_0
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(spm,[status(thm)],[1703,376,theory(equality)]) ).
cnf(4785,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| ~ v1_funct_2(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4784,1201,theory(equality)]) ).
cnf(4786,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| ~ v1_funct_2(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4785,887,theory(equality)]) ).
cnf(4787,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| $false
| ~ m1_relset_1(k6_partfun1(u1_struct_0(esk14_0)),u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4786,846,theory(equality)]) ).
cnf(4788,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| $false
| $false
| ~ m1_relset_1(esk15_0,u1_struct_0(esk14_0),u1_struct_0(esk14_0))
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4787,489,theory(equality)]) ).
cnf(4789,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_1(k6_partfun1(u1_struct_0(esk14_0)))
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4788,825,theory(equality)]) ).
cnf(4790,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ v1_funct_1(esk15_0) ),
inference(rw,[status(thm)],[4789,448,theory(equality)]) ).
cnf(4791,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk14_0))
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[4790,793,theory(equality)]) ).
cnf(4792,negated_conjecture,
v1_xboole_0(u1_struct_0(esk14_0)),
inference(cn,[status(thm)],[4791,theory(equality)]) ).
cnf(4793,negated_conjecture,
$false,
inference(sr,[status(thm)],[4792,664,theory(equality)]) ).
cnf(4794,negated_conjecture,
$false,
4793,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GRP/GRP632+1.p
% --creating new selector for []
% -running prover on /tmp/tmpE-Ev0y/sel_GRP632+1.p_1 with time limit 29
% -prover status Theorem
% Problem GRP632+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GRP/GRP632+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GRP/GRP632+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
%
%------------------------------------------------------------------------------