TSTP Solution File: LAT294+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT294+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 14:01:14 EST 2010
% Result : Theorem 1.78s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 99 ( 21 unt; 0 def)
% Number of atoms : 972 ( 84 equ)
% Maximal formula atoms : 38 ( 9 avg)
% Number of connectives : 1509 ( 636 ~; 705 |; 126 &)
% ( 1 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 200 ( 0 sgn 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
file('/tmp/tmpkUMsOh/sel_LAT294+1.p_1',t4_filter_2) ).
fof(12,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/tmp/tmpkUMsOh/sel_LAT294+1.p_1',t3_filter_2) ).
fof(27,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( r6_binop_1(X1,X2,X3)
<=> ( r4_binop_1(X1,X2,X3)
& r5_binop_1(X1,X2,X3) ) ) ) ),
file('/tmp/tmpkUMsOh/sel_LAT294+1.p_1',d11_binop_1) ).
fof(43,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(44,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4) )
=> r6_binop_1(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).
fof(48,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2) )
=> ( ( r4_binop_1(X1,X3,X4)
=> r4_binop_1(X2,X5,X6) )
& ( r5_binop_1(X1,X3,X4)
=> r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(54,negated_conjecture,
? [X1] :
( ~ v1_xboole_0(X1)
& ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r6_binop_1(X1,X3,X4)
& ~ r6_binop_1(X2,X5,X6) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(55,negated_conjecture,
? [X7] :
( ~ v1_xboole_0(X7)
& ? [X8] :
( ~ v1_xboole_0(X8)
& m1_subset_1(X8,k1_zfmisc_1(X7))
& ? [X9] :
( v1_funct_1(X9)
& v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
& ? [X10] :
( v1_funct_1(X10)
& v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
& ? [X11] :
( v1_funct_1(X11)
& v1_funct_2(X11,k2_zfmisc_1(X8,X8),X8)
& m2_relset_1(X11,k2_zfmisc_1(X8,X8),X8)
& ? [X12] :
( v1_funct_1(X12)
& v1_funct_2(X12,k2_zfmisc_1(X8,X8),X8)
& m2_relset_1(X12,k2_zfmisc_1(X8,X8),X8)
& X11 = k1_realset1(X9,X8)
& X12 = k1_realset1(X10,X8)
& r6_binop_1(X7,X9,X10)
& ~ r6_binop_1(X8,X11,X12) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0))
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk6_0)
& v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& esk5_0 = k1_realset1(esk3_0,esk2_0)
& esk6_0 = k1_realset1(esk4_0,esk2_0)
& r6_binop_1(esk1_0,esk3_0,esk4_0)
& ~ r6_binop_1(esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[55]) ).
cnf(57,negated_conjecture,
~ r6_binop_1(esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,negated_conjecture,
r6_binop_1(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(59,negated_conjecture,
esk6_0 = k1_realset1(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(60,negated_conjecture,
esk5_0 = k1_realset1(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(61,negated_conjecture,
m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(62,negated_conjecture,
v1_funct_2(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(63,negated_conjecture,
v1_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(64,negated_conjecture,
m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(65,negated_conjecture,
v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(66,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(67,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(68,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(69,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(70,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(71,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(72,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(73,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(74,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(75,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[56]) ).
fof(108,plain,
! [X1] :
( v1_xboole_0(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
| X5 != k1_realset1(X3,X2)
| X6 != k1_realset1(X4,X2)
| ( ( ~ r4_binop_1(X1,X3,X4)
| r4_binop_1(X2,X5,X6) )
& ( ~ r5_binop_1(X1,X3,X4)
| r5_binop_1(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(109,plain,
! [X7] :
( v1_xboole_0(X7)
| ! [X8] :
( v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(X7))
| ! [X9] :
( ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| ! [X10] :
( ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
| ! [X11] :
( ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X11,k2_zfmisc_1(X8,X8),X8)
| ! [X12] :
( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X12,k2_zfmisc_1(X8,X8),X8)
| X11 != k1_realset1(X9,X8)
| X12 != k1_realset1(X10,X8)
| ( ( ~ r4_binop_1(X7,X9,X10)
| r4_binop_1(X8,X11,X12) )
& ( ~ r5_binop_1(X7,X9,X10)
| r5_binop_1(X8,X11,X12) ) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[108]) ).
fof(110,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X12,k2_zfmisc_1(X8,X8),X8)
| X11 != k1_realset1(X9,X8)
| X12 != k1_realset1(X10,X8)
| ( ( ~ r4_binop_1(X7,X9,X10)
| r4_binop_1(X8,X11,X12) )
& ( ~ r5_binop_1(X7,X9,X10)
| r5_binop_1(X8,X11,X12) ) )
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X11,k2_zfmisc_1(X8,X8),X8)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(X7))
| v1_xboole_0(X7) ),
inference(shift_quantors,[status(thm)],[109]) ).
fof(111,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( ~ r4_binop_1(X7,X9,X10)
| r4_binop_1(X8,X11,X12)
| X11 != k1_realset1(X9,X8)
| X12 != k1_realset1(X10,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X12,k2_zfmisc_1(X8,X8),X8)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X11,k2_zfmisc_1(X8,X8),X8)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(X7))
| v1_xboole_0(X7) )
& ( ~ r5_binop_1(X7,X9,X10)
| r5_binop_1(X8,X11,X12)
| X11 != k1_realset1(X9,X8)
| X12 != k1_realset1(X10,X8)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X12,k2_zfmisc_1(X8,X8),X8)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X8,X8),X8)
| ~ m2_relset_1(X11,k2_zfmisc_1(X8,X8),X8)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| v1_xboole_0(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(X7))
| v1_xboole_0(X7) ) ),
inference(distribute,[status(thm)],[110]) ).
cnf(112,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r5_binop_1(X2,X5,X6)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X6)
| X6 != k1_realset1(X4,X2)
| X5 != k1_realset1(X3,X2)
| ~ r5_binop_1(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[111]) ).
cnf(113,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r4_binop_1(X2,X5,X6)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X6)
| X6 != k1_realset1(X4,X2)
| X5 != k1_realset1(X3,X2)
| ~ r4_binop_1(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[111]) ).
fof(156,plain,
! [X1,X2] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ( ( ~ r6_binop_1(X1,X2,X3)
| ( r4_binop_1(X1,X2,X3)
& r5_binop_1(X1,X2,X3) ) )
& ( ~ r4_binop_1(X1,X2,X3)
| ~ r5_binop_1(X1,X2,X3)
| r6_binop_1(X1,X2,X3) ) ) ) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(157,plain,
! [X4,X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ! [X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ( ( ~ r6_binop_1(X4,X5,X6)
| ( r4_binop_1(X4,X5,X6)
& r5_binop_1(X4,X5,X6) ) )
& ( ~ r4_binop_1(X4,X5,X6)
| ~ r5_binop_1(X4,X5,X6)
| r6_binop_1(X4,X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[156]) ).
fof(158,plain,
! [X4,X5,X6] :
( ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ( ( ~ r6_binop_1(X4,X5,X6)
| ( r4_binop_1(X4,X5,X6)
& r5_binop_1(X4,X5,X6) ) )
& ( ~ r4_binop_1(X4,X5,X6)
| ~ r5_binop_1(X4,X5,X6)
| r6_binop_1(X4,X5,X6) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4) ),
inference(shift_quantors,[status(thm)],[157]) ).
fof(159,plain,
! [X4,X5,X6] :
( ( r4_binop_1(X4,X5,X6)
| ~ r6_binop_1(X4,X5,X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4) )
& ( r5_binop_1(X4,X5,X6)
| ~ r6_binop_1(X4,X5,X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4) )
& ( ~ r4_binop_1(X4,X5,X6)
| ~ r5_binop_1(X4,X5,X6)
| r6_binop_1(X4,X5,X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X6,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[158]) ).
cnf(160,plain,
( r6_binop_1(X2,X1,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ r5_binop_1(X2,X1,X3)
| ~ r4_binop_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(161,plain,
( r5_binop_1(X2,X1,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ r6_binop_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(162,plain,
( r4_binop_1(X2,X1,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ r6_binop_1(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(262,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[162,68,theory(equality)]) ).
cnf(268,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[262,67,theory(equality)]) ).
cnf(269,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| $false
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[268,69,theory(equality)]) ).
cnf(270,negated_conjecture,
( r4_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(278,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[161,68,theory(equality)]) ).
cnf(284,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[278,67,theory(equality)]) ).
cnf(285,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| $false
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[284,69,theory(equality)]) ).
cnf(286,negated_conjecture,
( r5_binop_1(esk1_0,X1,esk4_0)
| ~ r6_binop_1(esk1_0,X1,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[285,theory(equality)]) ).
cnf(296,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[160,62,theory(equality)]) ).
cnf(306,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[296,61,theory(equality)]) ).
cnf(307,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_1(X1) ),
inference(rw,[status(thm)],[306,63,theory(equality)]) ).
cnf(308,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r5_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[307,theory(equality)]) ).
cnf(312,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r4_binop_1(X2,X4,X3)
| ~ m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[113,62,theory(equality)]) ).
cnf(325,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r4_binop_1(X2,X4,X3)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(rw,[status(thm)],[312,61,theory(equality)]) ).
cnf(326,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r4_binop_1(X2,X4,X3)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| $false
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(rw,[status(thm)],[325,63,theory(equality)]) ).
cnf(327,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r4_binop_1(X2,X4,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(cn,[status(thm)],[326,theory(equality)]) ).
cnf(328,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r4_binop_1(X2,X4,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(sr,[status(thm)],[327,74,theory(equality)]) ).
cnf(332,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r5_binop_1(X2,X4,X3)
| ~ m2_relset_1(esk6_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[112,62,theory(equality)]) ).
cnf(345,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r5_binop_1(X2,X4,X3)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(esk6_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(rw,[status(thm)],[332,61,theory(equality)]) ).
cnf(346,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r5_binop_1(X2,X4,X3)
| $false
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| $false
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(rw,[status(thm)],[345,63,theory(equality)]) ).
cnf(347,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| v1_xboole_0(esk2_0)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r5_binop_1(X2,X4,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(cn,[status(thm)],[346,theory(equality)]) ).
cnf(348,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(X2)
| k1_realset1(X3,esk2_0) != esk6_0
| k1_realset1(X4,esk2_0) != X1
| ~ r5_binop_1(X2,X4,X3)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2)) ),
inference(sr,[status(thm)],[347,74,theory(equality)]) ).
cnf(918,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| k1_realset1(esk4_0,esk2_0) != esk6_0
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(spm,[status(thm)],[328,68,theory(equality)]) ).
cnf(927,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[918,59,theory(equality)]) ).
cnf(928,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[927,67,theory(equality)]) ).
cnf(929,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| $false
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[928,69,theory(equality)]) ).
cnf(930,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| $false
| ~ v1_funct_1(X2)
| $false ),
inference(rw,[status(thm)],[929,73,theory(equality)]) ).
cnf(931,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[930,theory(equality)]) ).
cnf(932,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(X2,esk2_0) != X1
| ~ r4_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(sr,[status(thm)],[931,75,theory(equality)]) ).
cnf(1083,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| k1_realset1(esk4_0,esk2_0) != esk6_0
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(spm,[status(thm)],[348,68,theory(equality)]) ).
cnf(1092,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk4_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[1083,59,theory(equality)]) ).
cnf(1093,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk4_0)
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[1092,67,theory(equality)]) ).
cnf(1094,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| $false
| ~ v1_funct_1(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(esk1_0)) ),
inference(rw,[status(thm)],[1093,69,theory(equality)]) ).
cnf(1095,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| $false
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| $false
| ~ v1_funct_1(X2)
| $false ),
inference(rw,[status(thm)],[1094,73,theory(equality)]) ).
cnf(1096,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| v1_xboole_0(esk1_0)
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[1095,theory(equality)]) ).
cnf(1097,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(X2,esk2_0) != X1
| ~ r5_binop_1(esk1_0,X2,esk4_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2) ),
inference(sr,[status(thm)],[1096,75,theory(equality)]) ).
cnf(2461,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(X2,esk2_0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ r6_binop_1(esk1_0,X2,esk4_0) ),
inference(spm,[status(thm)],[932,270,theory(equality)]) ).
cnf(2962,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(X2,esk2_0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| ~ r6_binop_1(esk1_0,X2,esk4_0) ),
inference(spm,[status(thm)],[1097,286,theory(equality)]) ).
cnf(15017,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(esk3_0,esk2_0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(spm,[status(thm)],[2461,58,theory(equality)]) ).
cnf(15018,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[15017,60,theory(equality)]) ).
cnf(15019,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[15018,70,theory(equality)]) ).
cnf(15020,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[15019,71,theory(equality)]) ).
cnf(15021,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_1(X1)
| $false ),
inference(rw,[status(thm)],[15020,72,theory(equality)]) ).
cnf(15022,negated_conjecture,
( r4_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[15021,theory(equality)]) ).
cnf(21273,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| k1_realset1(esk3_0,esk2_0) != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(spm,[status(thm)],[2962,58,theory(equality)]) ).
cnf(21274,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[21273,60,theory(equality)]) ).
cnf(21275,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk3_0,k2_zfmisc_1(esk1_0,esk1_0),esk1_0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[21274,70,theory(equality)]) ).
cnf(21276,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_1(X1)
| ~ v1_funct_1(esk3_0) ),
inference(rw,[status(thm)],[21275,71,theory(equality)]) ).
cnf(21277,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| $false
| ~ v1_funct_1(X1)
| $false ),
inference(rw,[status(thm)],[21276,72,theory(equality)]) ).
cnf(21278,negated_conjecture,
( r5_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[21277,theory(equality)]) ).
cnf(21279,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| ~ r4_binop_1(esk2_0,X1,esk6_0)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1)
| esk5_0 != X1 ),
inference(spm,[status(thm)],[308,21278,theory(equality)]) ).
cnf(21281,negated_conjecture,
( r6_binop_1(esk2_0,X1,esk6_0)
| esk5_0 != X1
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[21279,15022]) ).
cnf(21282,negated_conjecture,
( ~ m2_relset_1(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(esk5_0) ),
inference(spm,[status(thm)],[57,21281,theory(equality)]) ).
cnf(21283,negated_conjecture,
( $false
| ~ v1_funct_2(esk5_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(esk5_0) ),
inference(rw,[status(thm)],[21282,64,theory(equality)]) ).
cnf(21284,negated_conjecture,
( $false
| $false
| ~ v1_funct_1(esk5_0) ),
inference(rw,[status(thm)],[21283,65,theory(equality)]) ).
cnf(21285,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[21284,66,theory(equality)]) ).
cnf(21286,negated_conjecture,
$false,
inference(cn,[status(thm)],[21285,theory(equality)]) ).
cnf(21287,negated_conjecture,
$false,
21286,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT294+1.p
% --creating new selector for []
% -running prover on /tmp/tmpkUMsOh/sel_LAT294+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT294+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT294+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT294+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
%
%------------------------------------------------------------------------------