TSTP Solution File: SET657+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET657+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 : Sun Dec 26 03:08:11 EST 2010
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 156 ( 17 unt; 0 def)
% Number of atoms : 681 ( 20 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 875 ( 350 ~; 404 |; 67 &)
% ( 6 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 358 ( 12 sgn 174 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> subset(field_of(X3),union(X1,X2)) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',prove_relset_1_19) ).
fof(4,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p27) ).
fof(6,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X1,power_set(X2))
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p21) ).
fof(8,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p23) ).
fof(9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p22) ).
fof(12,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p33) ).
fof(18,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p14) ).
fof(20,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,subset_type(X1))
<=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p16) ).
fof(26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p36) ).
fof(27,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p37) ).
fof(28,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p34) ).
fof(29,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p35) ).
fof(30,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> field_of(X1) = union(domain_of(X1),range_of(X1)) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p2) ).
fof(32,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,set_type)
=> ( ( subset(X1,X2)
& subset(X3,X4) )
=> subset(union(X1,X3),union(X2,X4)) ) ) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p1) ).
fof(34,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p7) ).
fof(38,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/tmp/tmpbcToKT/sel_SET657+3.p_1',p9) ).
fof(39,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> subset(field_of(X3),union(X1,X2)) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(41,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ( ~ empty(X2)
& ilf_type(X2,set_type) )
=> ( ilf_type(X1,member_type(X2))
<=> member(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(42,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(44,negated_conjecture,
? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X1,X2))
& ~ subset(field_of(X3),union(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(45,negated_conjecture,
? [X4] :
( ilf_type(X4,set_type)
& ? [X5] :
( ilf_type(X5,set_type)
& ? [X6] :
( ilf_type(X6,relation_type(X4,X5))
& ~ subset(field_of(X6),union(X4,X5)) ) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,relation_type(esk1_0,esk2_0))
& ~ subset(field_of(esk3_0),union(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[45]) ).
cnf(47,negated_conjecture,
~ subset(field_of(esk3_0),union(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,negated_conjecture,
ilf_type(esk3_0,relation_type(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[46]) ).
fof(65,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| relation_like(X3) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(66,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ) ) ),
inference(variable_rename,[status(thm)],[65]) ).
fof(67,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[66]) ).
cnf(68,plain,
( relation_like(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(80,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(X1,power_set(X2))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X1)
& ~ member(X3,X2) )
| member(X1,power_set(X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(81,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ member(X4,power_set(X5))
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( ilf_type(X7,set_type)
& member(X7,X4)
& ~ member(X7,X5) )
| member(X4,power_set(X5)) ) ) ) ),
inference(variable_rename,[status(thm)],[80]) ).
fof(82,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ member(X4,power_set(X5))
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( ilf_type(esk9_2(X4,X5),set_type)
& member(esk9_2(X4,X5),X4)
& ~ member(esk9_2(X4,X5),X5) )
| member(X4,power_set(X5)) ) ) ) ),
inference(skolemize,[status(esa)],[81]) ).
fof(83,plain,
! [X4,X5,X6] :
( ( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ member(X4,power_set(X5)) )
& ( ( ilf_type(esk9_2(X4,X5),set_type)
& member(esk9_2(X4,X5),X4)
& ~ member(esk9_2(X4,X5),X5) )
| member(X4,power_set(X5)) ) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[82]) ).
fof(84,plain,
! [X4,X5,X6] :
( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk9_2(X4,X5),set_type)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk9_2(X4,X5),X4)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk9_2(X4,X5),X5)
| member(X4,power_set(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[83]) ).
cnf(88,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,power_set(X2))
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ),
inference(split_conjunct,[status(thm)],[84]) ).
fof(92,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( empty(X2)
| ~ ilf_type(X2,set_type)
| ( ( ~ ilf_type(X1,member_type(X2))
| member(X1,X2) )
& ( ~ member(X1,X2)
| ilf_type(X1,member_type(X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(93,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( empty(X4)
| ~ ilf_type(X4,set_type)
| ( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4)) ) ) ) ),
inference(variable_rename,[status(thm)],[92]) ).
fof(94,plain,
! [X3,X4] :
( empty(X4)
| ~ ilf_type(X4,set_type)
| ( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4)) ) )
| ~ ilf_type(X3,set_type) ),
inference(shift_quantors,[status(thm)],[93]) ).
fof(95,plain,
! [X3,X4] :
( ( ~ ilf_type(X3,member_type(X4))
| member(X3,X4)
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ member(X3,X4)
| ilf_type(X3,member_type(X4))
| empty(X4)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(97,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(98,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(99,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ( ~ empty(power_set(X2))
& ilf_type(power_set(X2),set_type) ) ),
inference(variable_rename,[status(thm)],[98]) ).
fof(100,plain,
! [X2] :
( ( ~ empty(power_set(X2))
| ~ ilf_type(X2,set_type) )
& ( ilf_type(power_set(X2),set_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[99]) ).
cnf(102,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[100]) ).
fof(115,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3) ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(116,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6) ) ) ),
inference(variable_rename,[status(thm)],[115]) ).
fof(117,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[116]) ).
cnf(118,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(137,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ ilf_type(X1,binary_relation_type)
| ( relation_like(X1)
& ilf_type(X1,set_type) ) )
& ( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,binary_relation_type) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(138,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ ilf_type(X2,binary_relation_type)
| ( relation_like(X2)
& ilf_type(X2,set_type) ) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type) ) ) ),
inference(variable_rename,[status(thm)],[137]) ).
fof(139,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[138]) ).
cnf(140,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[139]) ).
fof(146,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ ilf_type(X2,subset_type(X1))
| ilf_type(X2,member_type(power_set(X1))) )
& ( ~ ilf_type(X2,member_type(power_set(X1)))
| ilf_type(X2,subset_type(X1)) ) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(147,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ( ( ~ ilf_type(X4,subset_type(X3))
| ilf_type(X4,member_type(power_set(X3))) )
& ( ~ ilf_type(X4,member_type(power_set(X3)))
| ilf_type(X4,subset_type(X3)) ) ) ) ),
inference(variable_rename,[status(thm)],[146]) ).
fof(148,plain,
! [X3,X4] :
( ~ ilf_type(X4,set_type)
| ( ( ~ ilf_type(X4,subset_type(X3))
| ilf_type(X4,member_type(power_set(X3))) )
& ( ~ ilf_type(X4,member_type(power_set(X3)))
| ilf_type(X4,subset_type(X3)) ) )
| ~ ilf_type(X3,set_type) ),
inference(shift_quantors,[status(thm)],[147]) ).
fof(149,plain,
! [X3,X4] :
( ( ~ ilf_type(X4,subset_type(X3))
| ilf_type(X4,member_type(power_set(X3)))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ ilf_type(X4,member_type(power_set(X3)))
| ilf_type(X4,subset_type(X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(151,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(170,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(171,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(range(X4,X5,X6),subset_type(X5)) ) ) ),
inference(variable_rename,[status(thm)],[170]) ).
fof(172,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(range(X4,X5,X6),subset_type(X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[171]) ).
cnf(173,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[172]) ).
fof(174,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[27]) ).
cnf(175,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[174]) ).
fof(176,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(177,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(domain(X4,X5,X6),subset_type(X4)) ) ) ),
inference(variable_rename,[status(thm)],[176]) ).
fof(178,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ilf_type(domain(X4,X5,X6),subset_type(X4))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[177]) ).
cnf(179,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(180,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| range(X1,X2,X3) = range_of(X3) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(181,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6) ) ) ),
inference(variable_rename,[status(thm)],[180]) ).
fof(182,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[181]) ).
cnf(183,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[182]) ).
fof(184,plain,
! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| field_of(X1) = union(domain_of(X1),range_of(X1)) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(185,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| field_of(X2) = union(domain_of(X2),range_of(X2)) ),
inference(variable_rename,[status(thm)],[184]) ).
cnf(186,plain,
( field_of(X1) = union(domain_of(X1),range_of(X1))
| ~ ilf_type(X1,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[185]) ).
fof(194,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ subset(X1,X2)
| ~ subset(X3,X4)
| subset(union(X1,X3),union(X2,X4)) ) ) ) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(195,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ! [X7] :
( ~ ilf_type(X7,set_type)
| ! [X8] :
( ~ ilf_type(X8,set_type)
| ~ subset(X5,X6)
| ~ subset(X7,X8)
| subset(union(X5,X7),union(X6,X8)) ) ) ) ),
inference(variable_rename,[status(thm)],[194]) ).
fof(196,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X8,set_type)
| ~ subset(X5,X6)
| ~ subset(X7,X8)
| subset(union(X5,X7),union(X6,X8))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[195]) ).
cnf(197,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X3,X4)
| ~ subset(X1,X2)
| ~ ilf_type(X4,set_type) ),
inference(split_conjunct,[status(thm)],[196]) ).
fof(201,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ~ ilf_type(X4,relation_type(X1,X2))
| ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(202,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ( ! [X7] :
( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6)) )
& ! [X8] :
( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6))) ) ) ) ),
inference(variable_rename,[status(thm)],[201]) ).
fof(203,plain,
! [X5,X6,X7,X8] :
( ( ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6))) )
& ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6)) ) )
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[202]) ).
fof(204,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[203]) ).
cnf(206,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[204]) ).
fof(219,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ subset(X1,X2)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(220,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ subset(X4,X5)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( ilf_type(X7,set_type)
& member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[219]) ).
fof(221,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ subset(X4,X5)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( ilf_type(esk14_2(X4,X5),set_type)
& member(esk14_2(X4,X5),X4)
& ~ member(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[220]) ).
fof(222,plain,
! [X4,X5,X6] :
( ( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( ilf_type(esk14_2(X4,X5),set_type)
& member(esk14_2(X4,X5),X4)
& ~ member(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[221]) ).
fof(223,plain,
! [X4,X5,X6] :
( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk14_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk14_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk14_2(X4,X5),X5)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[222]) ).
cnf(224,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(225,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(232,plain,
( ~ empty(power_set(X1))
| $false ),
inference(rw,[status(thm)],[102,175,theory(equality)]) ).
cnf(233,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[232,theory(equality)]) ).
cnf(244,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| $false ),
inference(rw,[status(thm)],[140,175,theory(equality)]) ).
cnf(245,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[244,theory(equality)]) ).
cnf(292,plain,
( relation_like(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[68,175,theory(equality)]) ).
cnf(293,plain,
( relation_like(X3)
| $false
| $false
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[292,175,theory(equality)]) ).
cnf(294,plain,
( relation_like(X3)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(cn,[status(thm)],[293,theory(equality)]) ).
cnf(302,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[225,175,theory(equality)]) ).
cnf(303,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| $false
| $false ),
inference(rw,[status(thm)],[302,175,theory(equality)]) ).
cnf(304,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1) ),
inference(cn,[status(thm)],[303,theory(equality)]) ).
cnf(307,plain,
( subset(X1,X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ member(esk14_2(X1,X2),X2) ),
inference(rw,[status(thm)],[224,175,theory(equality)]) ).
cnf(308,plain,
( subset(X1,X2)
| $false
| $false
| ~ member(esk14_2(X1,X2),X2) ),
inference(rw,[status(thm)],[307,175,theory(equality)]) ).
cnf(309,plain,
( subset(X1,X2)
| ~ member(esk14_2(X1,X2),X2) ),
inference(cn,[status(thm)],[308,theory(equality)]) ).
cnf(316,plain,
( ilf_type(X2,member_type(power_set(X1)))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(X1)) ),
inference(rw,[status(thm)],[151,175,theory(equality)]) ).
cnf(317,plain,
( ilf_type(X2,member_type(power_set(X1)))
| $false
| $false
| ~ ilf_type(X2,subset_type(X1)) ),
inference(rw,[status(thm)],[316,175,theory(equality)]) ).
cnf(318,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X2,subset_type(X1)) ),
inference(cn,[status(thm)],[317,theory(equality)]) ).
cnf(325,plain,
( empty(X2)
| member(X1,X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(rw,[status(thm)],[97,175,theory(equality)]) ).
cnf(326,plain,
( empty(X2)
| member(X1,X2)
| $false
| $false
| ~ ilf_type(X1,member_type(X2)) ),
inference(rw,[status(thm)],[325,175,theory(equality)]) ).
cnf(327,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,member_type(X2)) ),
inference(cn,[status(thm)],[326,theory(equality)]) ).
cnf(329,plain,
( empty(power_set(X1))
| member(X2,power_set(X1))
| ~ ilf_type(X2,subset_type(X1)) ),
inference(spm,[status(thm)],[327,318,theory(equality)]) ).
cnf(330,plain,
( member(X2,power_set(X1))
| ~ ilf_type(X2,subset_type(X1)) ),
inference(sr,[status(thm)],[329,233,theory(equality)]) ).
cnf(352,plain,
( domain(X1,X2,X3) = domain_of(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[118,175,theory(equality)]) ).
cnf(353,plain,
( domain(X1,X2,X3) = domain_of(X3)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[352,175,theory(equality)]) ).
cnf(354,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[353,theory(equality)]) ).
cnf(355,plain,
( range(X1,X2,X3) = range_of(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[183,175,theory(equality)]) ).
cnf(356,plain,
( range(X1,X2,X3) = range_of(X3)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[355,175,theory(equality)]) ).
cnf(357,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[356,theory(equality)]) ).
cnf(358,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[206,175,theory(equality)]) ).
cnf(359,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[358,175,theory(equality)]) ).
cnf(360,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[359,theory(equality)]) ).
cnf(361,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[294,360,theory(equality)]) ).
cnf(389,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[179,175,theory(equality)]) ).
cnf(390,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[389,175,theory(equality)]) ).
cnf(391,plain,
( ilf_type(domain(X1,X2,X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[390,theory(equality)]) ).
cnf(393,plain,
( ilf_type(domain_of(X3),subset_type(X1))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[391,354,theory(equality)]) ).
cnf(404,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[173,175,theory(equality)]) ).
cnf(405,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[404,175,theory(equality)]) ).
cnf(406,plain,
( ilf_type(range(X1,X2,X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[405,theory(equality)]) ).
cnf(408,plain,
( ilf_type(range_of(X3),subset_type(X2))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[406,357,theory(equality)]) ).
cnf(425,plain,
( member(X3,X2)
| ~ member(X3,X1)
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,power_set(X2)) ),
inference(rw,[status(thm)],[88,175,theory(equality)]) ).
cnf(426,plain,
( member(X3,X2)
| ~ member(X3,X1)
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ member(X1,power_set(X2)) ),
inference(rw,[status(thm)],[425,175,theory(equality)]) ).
cnf(427,plain,
( member(X3,X2)
| ~ member(X3,X1)
| $false
| $false
| $false
| ~ member(X1,power_set(X2)) ),
inference(rw,[status(thm)],[426,175,theory(equality)]) ).
cnf(428,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[427,theory(equality)]) ).
cnf(454,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ subset(X3,X4)
| ~ subset(X1,X2)
| $false
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[197,175,theory(equality)]) ).
cnf(455,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ subset(X3,X4)
| ~ subset(X1,X2)
| $false
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[454,175,theory(equality)]) ).
cnf(456,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ subset(X3,X4)
| ~ subset(X1,X2)
| $false
| $false
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[455,175,theory(equality)]) ).
cnf(457,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ subset(X3,X4)
| ~ subset(X1,X2)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[456,175,theory(equality)]) ).
cnf(458,plain,
( subset(union(X1,X3),union(X2,X4))
| ~ subset(X3,X4)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[457,theory(equality)]) ).
cnf(463,plain,
( subset(field_of(X1),union(X2,X3))
| ~ subset(range_of(X1),X3)
| ~ subset(domain_of(X1),X2)
| ~ ilf_type(X1,binary_relation_type) ),
inference(spm,[status(thm)],[458,186,theory(equality)]) ).
cnf(496,negated_conjecture,
relation_like(esk3_0),
inference(spm,[status(thm)],[361,48,theory(equality)]) ).
cnf(503,negated_conjecture,
ilf_type(esk3_0,binary_relation_type),
inference(spm,[status(thm)],[245,496,theory(equality)]) ).
cnf(1013,negated_conjecture,
ilf_type(domain_of(esk3_0),subset_type(esk1_0)),
inference(spm,[status(thm)],[393,48,theory(equality)]) ).
cnf(1021,negated_conjecture,
member(domain_of(esk3_0),power_set(esk1_0)),
inference(spm,[status(thm)],[330,1013,theory(equality)]) ).
cnf(1024,negated_conjecture,
( member(X1,esk1_0)
| ~ member(X1,domain_of(esk3_0)) ),
inference(spm,[status(thm)],[428,1021,theory(equality)]) ).
cnf(1044,negated_conjecture,
( member(esk14_2(domain_of(esk3_0),X1),esk1_0)
| subset(domain_of(esk3_0),X1) ),
inference(spm,[status(thm)],[1024,304,theory(equality)]) ).
cnf(1159,negated_conjecture,
ilf_type(range_of(esk3_0),subset_type(esk2_0)),
inference(spm,[status(thm)],[408,48,theory(equality)]) ).
cnf(1168,negated_conjecture,
member(range_of(esk3_0),power_set(esk2_0)),
inference(spm,[status(thm)],[330,1159,theory(equality)]) ).
cnf(1171,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,range_of(esk3_0)) ),
inference(spm,[status(thm)],[428,1168,theory(equality)]) ).
cnf(1213,negated_conjecture,
( member(esk14_2(range_of(esk3_0),X1),esk2_0)
| subset(range_of(esk3_0),X1) ),
inference(spm,[status(thm)],[1171,304,theory(equality)]) ).
cnf(1349,negated_conjecture,
subset(domain_of(esk3_0),esk1_0),
inference(spm,[status(thm)],[309,1044,theory(equality)]) ).
cnf(1386,negated_conjecture,
subset(range_of(esk3_0),esk2_0),
inference(spm,[status(thm)],[309,1213,theory(equality)]) ).
cnf(2795,negated_conjecture,
( subset(field_of(esk3_0),union(X1,esk2_0))
| ~ subset(domain_of(esk3_0),X1)
| ~ ilf_type(esk3_0,binary_relation_type) ),
inference(spm,[status(thm)],[463,1386,theory(equality)]) ).
cnf(2801,negated_conjecture,
( subset(field_of(esk3_0),union(X1,esk2_0))
| ~ subset(domain_of(esk3_0),X1)
| $false ),
inference(rw,[status(thm)],[2795,503,theory(equality)]) ).
cnf(2802,negated_conjecture,
( subset(field_of(esk3_0),union(X1,esk2_0))
| ~ subset(domain_of(esk3_0),X1) ),
inference(cn,[status(thm)],[2801,theory(equality)]) ).
cnf(2816,negated_conjecture,
subset(field_of(esk3_0),union(esk1_0,esk2_0)),
inference(spm,[status(thm)],[2802,1349,theory(equality)]) ).
cnf(2824,negated_conjecture,
$false,
inference(sr,[status(thm)],[2816,47,theory(equality)]) ).
cnf(2825,negated_conjecture,
$false,
2824,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET657+3.p
% --creating new selector for []
% -running prover on /tmp/tmpbcToKT/sel_SET657+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET657+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET657+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET657+3.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
%
%------------------------------------------------------------------------------