TSTP Solution File: SET664+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET664+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 03:08:48 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 168 ( 25 unt; 0 def)
% Number of atoms : 703 ( 33 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 882 ( 347 ~; 395 |; 87 &)
% ( 8 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 325 ( 25 sgn 147 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( ilf_type(X3,relation_type(X2,empty_set))
=> X3 = empty_set ) ) ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',prove_relset_1_27) ).
fof(5,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/tmpB1RB_6/sel_SET664+3.p_1',p24) ).
fof(8,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p21) ).
fof(10,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p23) ).
fof(11,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/tmpB1RB_6/sel_SET664+3.p_1',p22) ).
fof(13,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/tmpB1RB_6/sel_SET664+3.p_1',p28) ).
fof(14,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p33) ).
fof(19,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p13) ).
fof(21,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/tmpB1RB_6/sel_SET664+3.p_1',p15) ).
fof(25,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/tmpB1RB_6/sel_SET664+3.p_1',p19) ).
fof(28,axiom,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( ( domain_of(X1) = empty_set
| range_of(X1) = empty_set )
=> X1 = empty_set ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p2) ).
fof(29,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p3) ).
fof(30,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X1,empty_set)
=> X1 = empty_set ) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p1) ).
fof(31,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/tmpB1RB_6/sel_SET664+3.p_1',p6) ).
fof(33,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,empty_set) ),
file('/tmp/tmpB1RB_6/sel_SET664+3.p_1',p4) ).
fof(36,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( ilf_type(X3,relation_type(X2,empty_set))
=> X3 = empty_set ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(38,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)],[5,theory(equality)]) ).
fof(39,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( empty(X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ~ member(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(40,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).
fof(41,plain,
! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,empty_set) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(42,negated_conjecture,
? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,relation_type(X2,X1))
& ilf_type(X3,relation_type(X2,empty_set))
& X3 != empty_set ) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(43,negated_conjecture,
? [X4] :
( ilf_type(X4,set_type)
& ? [X5] :
( ilf_type(X5,set_type)
& ? [X6] :
( ilf_type(X6,relation_type(X5,X4))
& ilf_type(X6,relation_type(X5,empty_set))
& X6 != empty_set ) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,relation_type(esk2_0,esk1_0))
& ilf_type(esk3_0,relation_type(esk2_0,empty_set))
& esk3_0 != empty_set ),
inference(skolemize,[status(esa)],[43]) ).
cnf(45,negated_conjecture,
esk3_0 != empty_set,
inference(split_conjunct,[status(thm)],[44]) ).
cnf(46,negated_conjecture,
ilf_type(esk3_0,relation_type(esk2_0,empty_set)),
inference(split_conjunct,[status(thm)],[44]) ).
fof(56,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)],[38]) ).
fof(57,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)],[56]) ).
fof(58,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)],[57]) ).
fof(59,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)],[58]) ).
cnf(60,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[59]) ).
cnf(61,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)],[59]) ).
fof(76,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ empty(X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X1) )
| empty(X1) ) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(77,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ( ( ~ empty(X3)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X3) ) )
& ( ? [X5] :
( ilf_type(X5,set_type)
& member(X5,X3) )
| empty(X3) ) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ( ( ~ empty(X3)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X3) ) )
& ( ( ilf_type(esk8_1(X3),set_type)
& member(esk8_1(X3),X3) )
| empty(X3) ) ) ),
inference(skolemize,[status(esa)],[77]) ).
fof(79,plain,
! [X3,X4] :
( ( ( ~ ilf_type(X4,set_type)
| ~ member(X4,X3)
| ~ empty(X3) )
& ( ( ilf_type(esk8_1(X3),set_type)
& member(esk8_1(X3),X3) )
| empty(X3) ) )
| ~ ilf_type(X3,set_type) ),
inference(shift_quantors,[status(thm)],[78]) ).
fof(80,plain,
! [X3,X4] :
( ( ~ ilf_type(X4,set_type)
| ~ member(X4,X3)
| ~ empty(X3)
| ~ ilf_type(X3,set_type) )
& ( ilf_type(esk8_1(X3),set_type)
| empty(X3)
| ~ ilf_type(X3,set_type) )
& ( member(esk8_1(X3),X3)
| empty(X3)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[79]) ).
cnf(81,plain,
( empty(X1)
| member(esk8_1(X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(X1)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(87,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ( ~ empty(power_set(X1))
& ilf_type(power_set(X1),set_type) ) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(88,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ( ~ empty(power_set(X2))
& ilf_type(power_set(X2),set_type) ) ),
inference(variable_rename,[status(thm)],[87]) ).
fof(89,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)],[88]) ).
cnf(91,plain,
( ~ ilf_type(X1,set_type)
| ~ empty(power_set(X1)) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(92,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)],[11]) ).
fof(93,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)],[92]) ).
fof(94,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)],[93]) ).
fof(95,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)],[94]) ).
fof(96,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)],[95]) ).
cnf(97,plain,
( member(X1,power_set(X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(98,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(100,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)],[96]) ).
fof(105,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)],[13]) ).
fof(106,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)],[105]) ).
fof(107,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)],[106]) ).
cnf(108,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)],[107]) ).
fof(109,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[14]) ).
cnf(110,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[109]) ).
fof(126,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)],[19]) ).
fof(127,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)],[126]) ).
fof(128,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)],[127]) ).
cnf(129,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)],[128]) ).
fof(135,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)],[21]) ).
fof(136,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)],[135]) ).
fof(137,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)],[136]) ).
fof(138,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)],[137]) ).
cnf(139,plain,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(split_conjunct,[status(thm)],[138]) ).
cnf(140,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)],[138]) ).
fof(152,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)],[25]) ).
fof(153,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)],[152]) ).
fof(154,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(esk12_2(X4,X5),set_type)
& member(esk12_2(X4,X5),X4)
& ~ member(esk12_2(X4,X5),X5) )
| subset(X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[153]) ).
fof(155,plain,
! [X4,X5,X6] :
( ( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( ilf_type(esk12_2(X4,X5),set_type)
& member(esk12_2(X4,X5),X4)
& ~ member(esk12_2(X4,X5),X5) )
| subset(X4,X5) ) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[154]) ).
fof(156,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(esk12_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk12_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk12_2(X4,X5),X5)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(158,plain,
( subset(X1,X2)
| member(esk12_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(169,plain,
! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( domain_of(X1) != empty_set
& range_of(X1) != empty_set )
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(170,plain,
! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ( domain_of(X2) != empty_set
& range_of(X2) != empty_set )
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[169]) ).
fof(171,plain,
! [X2] :
( ( domain_of(X2) != empty_set
| X2 = empty_set
| ~ ilf_type(X2,binary_relation_type) )
& ( range_of(X2) != empty_set
| X2 = empty_set
| ~ ilf_type(X2,binary_relation_type) ) ),
inference(distribute,[status(thm)],[170]) ).
cnf(172,plain,
( X1 = empty_set
| ~ ilf_type(X1,binary_relation_type)
| range_of(X1) != empty_set ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(174,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(175,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ( subset(domain_of(X6),X4)
& subset(range_of(X6),X5) ) ) ) ),
inference(variable_rename,[status(thm)],[174]) ).
fof(176,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ( subset(domain_of(X6),X4)
& subset(range_of(X6),X5) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[175]) ).
fof(177,plain,
! [X4,X5,X6] :
( ( subset(domain_of(X6),X4)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( subset(range_of(X6),X5)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[176]) ).
cnf(178,plain,
( subset(range_of(X3),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(180,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ~ subset(X1,empty_set)
| X1 = empty_set ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(181,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ~ subset(X2,empty_set)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[180]) ).
cnf(182,plain,
( X1 = empty_set
| ~ subset(X1,empty_set)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[181]) ).
fof(183,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)],[31]) ).
fof(184,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)],[183]) ).
fof(185,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)],[184]) ).
fof(186,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)],[185]) ).
cnf(187,plain,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[186]) ).
cnf(188,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)],[186]) ).
fof(194,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,empty_set) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(195,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,empty_set) ),
inference(variable_rename,[status(thm)],[194]) ).
cnf(196,plain,
( ~ member(X1,empty_set)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[195]) ).
cnf(215,plain,
( $false
| ~ member(X1,empty_set) ),
inference(rw,[status(thm)],[196,110,theory(equality)]) ).
cnf(216,plain,
~ member(X1,empty_set),
inference(cn,[status(thm)],[215,theory(equality)]) ).
cnf(217,plain,
( ~ empty(power_set(X1))
| $false ),
inference(rw,[status(thm)],[91,110,theory(equality)]) ).
cnf(218,plain,
~ empty(power_set(X1)),
inference(cn,[status(thm)],[217,theory(equality)]) ).
cnf(219,plain,
( empty_set = X1
| $false
| ~ subset(X1,empty_set) ),
inference(rw,[status(thm)],[182,110,theory(equality)]) ).
cnf(220,plain,
( empty_set = X1
| ~ subset(X1,empty_set) ),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(231,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| $false ),
inference(rw,[status(thm)],[129,110,theory(equality)]) ).
cnf(232,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[231,theory(equality)]) ).
cnf(236,plain,
( empty(X1)
| member(esk8_1(X1),X1)
| $false ),
inference(rw,[status(thm)],[81,110,theory(equality)]) ).
cnf(237,plain,
( empty(X1)
| member(esk8_1(X1),X1) ),
inference(cn,[status(thm)],[236,theory(equality)]) ).
cnf(259,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[83,110,theory(equality)]) ).
cnf(260,plain,
( ~ empty(X1)
| ~ member(X2,X1)
| $false
| $false ),
inference(rw,[status(thm)],[259,110,theory(equality)]) ).
cnf(261,plain,
( ~ empty(X1)
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[260,theory(equality)]) ).
cnf(269,plain,
( subset(X1,X2)
| member(esk12_2(X1,X2),X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[158,110,theory(equality)]) ).
cnf(270,plain,
( subset(X1,X2)
| member(esk12_2(X1,X2),X1)
| $false
| $false ),
inference(rw,[status(thm)],[269,110,theory(equality)]) ).
cnf(271,plain,
( subset(X1,X2)
| member(esk12_2(X1,X2),X1) ),
inference(cn,[status(thm)],[270,theory(equality)]) ).
cnf(273,plain,
( subset(X1,X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[261,271,theory(equality)]) ).
cnf(278,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ member(X1,X2)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[60,110,theory(equality)]) ).
cnf(279,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ member(X1,X2)
| $false
| $false ),
inference(rw,[status(thm)],[278,110,theory(equality)]) ).
cnf(280,plain,
( empty(X2)
| ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(cn,[status(thm)],[279,theory(equality)]) ).
cnf(281,plain,
( ilf_type(X1,member_type(X2))
| ~ member(X1,X2) ),
inference(csr,[status(thm)],[280,261]) ).
cnf(296,plain,
( subset(range_of(X3),X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[178,110,theory(equality)]) ).
cnf(297,plain,
( subset(range_of(X3),X2)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[296,110,theory(equality)]) ).
cnf(298,plain,
( subset(range_of(X3),X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[297,theory(equality)]) ).
cnf(302,plain,
( relation_like(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[108,110,theory(equality)]) ).
cnf(303,plain,
( relation_like(X3)
| $false
| $false
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[302,110,theory(equality)]) ).
cnf(304,plain,
( relation_like(X3)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(cn,[status(thm)],[303,theory(equality)]) ).
cnf(306,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[98,110,theory(equality)]) ).
cnf(307,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1)
| $false
| $false ),
inference(rw,[status(thm)],[306,110,theory(equality)]) ).
cnf(308,plain,
( member(X1,power_set(X2))
| member(esk9_2(X1,X2),X1) ),
inference(cn,[status(thm)],[307,theory(equality)]) ).
cnf(312,plain,
( member(X1,power_set(X2))
| $false
| ~ ilf_type(X1,set_type)
| ~ member(esk9_2(X1,X2),X2) ),
inference(rw,[status(thm)],[97,110,theory(equality)]) ).
cnf(313,plain,
( member(X1,power_set(X2))
| $false
| $false
| ~ member(esk9_2(X1,X2),X2) ),
inference(rw,[status(thm)],[312,110,theory(equality)]) ).
cnf(314,plain,
( member(X1,power_set(X2))
| ~ member(esk9_2(X1,X2),X2) ),
inference(cn,[status(thm)],[313,theory(equality)]) ).
cnf(315,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[314,308,theory(equality)]) ).
cnf(322,plain,
( empty(X2)
| member(X1,X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(X2)) ),
inference(rw,[status(thm)],[61,110,theory(equality)]) ).
cnf(323,plain,
( empty(X2)
| member(X1,X2)
| $false
| $false
| ~ ilf_type(X1,member_type(X2)) ),
inference(rw,[status(thm)],[322,110,theory(equality)]) ).
cnf(324,plain,
( empty(X2)
| member(X1,X2)
| ~ ilf_type(X1,member_type(X2)) ),
inference(cn,[status(thm)],[323,theory(equality)]) ).
cnf(334,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)],[140,110,theory(equality)]) ).
cnf(335,plain,
( ilf_type(X2,member_type(power_set(X1)))
| $false
| $false
| ~ ilf_type(X2,subset_type(X1)) ),
inference(rw,[status(thm)],[334,110,theory(equality)]) ).
cnf(336,plain,
( ilf_type(X2,member_type(power_set(X1)))
| ~ ilf_type(X2,subset_type(X1)) ),
inference(cn,[status(thm)],[335,theory(equality)]) ).
cnf(338,plain,
( ilf_type(X2,subset_type(X1))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(rw,[status(thm)],[139,110,theory(equality)]) ).
cnf(339,plain,
( ilf_type(X2,subset_type(X1))
| $false
| $false
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(rw,[status(thm)],[338,110,theory(equality)]) ).
cnf(340,plain,
( ilf_type(X2,subset_type(X1))
| ~ ilf_type(X2,member_type(power_set(X1))) ),
inference(cn,[status(thm)],[339,theory(equality)]) ).
cnf(366,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)],[188,110,theory(equality)]) ).
cnf(367,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[366,110,theory(equality)]) ).
cnf(368,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[367,theory(equality)]) ).
cnf(369,negated_conjecture,
ilf_type(esk3_0,subset_type(cross_product(esk2_0,empty_set))),
inference(spm,[status(thm)],[368,46,theory(equality)]) ).
cnf(372,plain,
( ilf_type(X3,relation_type(X1,X2))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[187,110,theory(equality)]) ).
cnf(373,plain,
( ilf_type(X3,relation_type(X1,X2))
| $false
| $false
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[372,110,theory(equality)]) ).
cnf(374,plain,
( ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(cn,[status(thm)],[373,theory(equality)]) ).
cnf(393,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)],[100,110,theory(equality)]) ).
cnf(394,plain,
( member(X3,X2)
| ~ member(X3,X1)
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ member(X1,power_set(X2)) ),
inference(rw,[status(thm)],[393,110,theory(equality)]) ).
cnf(395,plain,
( member(X3,X2)
| ~ member(X3,X1)
| $false
| $false
| $false
| ~ member(X1,power_set(X2)) ),
inference(rw,[status(thm)],[394,110,theory(equality)]) ).
cnf(396,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ member(X1,power_set(X2)) ),
inference(cn,[status(thm)],[395,theory(equality)]) ).
cnf(437,plain,
( empty_set = X1
| ~ empty(X1) ),
inference(spm,[status(thm)],[220,273,theory(equality)]) ).
cnf(475,plain,
ilf_type(X1,member_type(power_set(X1))),
inference(spm,[status(thm)],[281,315,theory(equality)]) ).
cnf(482,plain,
ilf_type(X1,subset_type(X1)),
inference(spm,[status(thm)],[340,475,theory(equality)]) ).
cnf(484,plain,
relation_like(cross_product(X1,X2)),
inference(spm,[status(thm)],[304,482,theory(equality)]) ).
cnf(486,plain,
ilf_type(cross_product(X1,X2),relation_type(X1,X2)),
inference(spm,[status(thm)],[374,482,theory(equality)]) ).
cnf(488,plain,
ilf_type(cross_product(X1,X2),binary_relation_type),
inference(spm,[status(thm)],[232,484,theory(equality)]) ).
cnf(507,plain,
subset(range_of(cross_product(X1,X2)),X2),
inference(spm,[status(thm)],[298,486,theory(equality)]) ).
cnf(558,plain,
empty_set = range_of(cross_product(X1,empty_set)),
inference(spm,[status(thm)],[220,507,theory(equality)]) ).
cnf(563,plain,
( empty_set = cross_product(X1,empty_set)
| ~ ilf_type(cross_product(X1,empty_set),binary_relation_type) ),
inference(spm,[status(thm)],[172,558,theory(equality)]) ).
cnf(566,plain,
( empty_set = cross_product(X1,empty_set)
| $false ),
inference(rw,[status(thm)],[563,488,theory(equality)]) ).
cnf(567,plain,
empty_set = cross_product(X1,empty_set),
inference(cn,[status(thm)],[566,theory(equality)]) ).
cnf(618,negated_conjecture,
ilf_type(esk3_0,subset_type(empty_set)),
inference(rw,[status(thm)],[369,567,theory(equality)]) ).
cnf(619,negated_conjecture,
ilf_type(esk3_0,member_type(power_set(empty_set))),
inference(spm,[status(thm)],[336,618,theory(equality)]) ).
cnf(621,negated_conjecture,
( member(esk3_0,power_set(empty_set))
| empty(power_set(empty_set)) ),
inference(spm,[status(thm)],[324,619,theory(equality)]) ).
cnf(623,negated_conjecture,
member(esk3_0,power_set(empty_set)),
inference(sr,[status(thm)],[621,218,theory(equality)]) ).
cnf(628,negated_conjecture,
( member(X1,empty_set)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[396,623,theory(equality)]) ).
cnf(630,negated_conjecture,
~ member(X1,esk3_0),
inference(sr,[status(thm)],[628,216,theory(equality)]) ).
cnf(631,negated_conjecture,
empty(esk3_0),
inference(spm,[status(thm)],[630,237,theory(equality)]) ).
cnf(637,negated_conjecture,
empty_set = esk3_0,
inference(spm,[status(thm)],[437,631,theory(equality)]) ).
cnf(638,negated_conjecture,
$false,
inference(sr,[status(thm)],[637,45,theory(equality)]) ).
cnf(639,negated_conjecture,
$false,
638,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET664+3.p
% --creating new selector for []
% -running prover on /tmp/tmpB1RB_6/sel_SET664+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET664+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET664+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET664+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
%
%------------------------------------------------------------------------------