TSTP Solution File: NUM183-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 13:03:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 46
% Syntax : Number of formulae : 84 ( 23 unt; 14 typ; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 439 ( 195 ~; 209 |; 0 &)
% ( 35 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 13 ( 13 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 7 >; 5 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 166 ( 149 !; 0 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
tff(subclass_type,type,
subclass: ( $i * $i ) > $o ).
tff(universal_class_type,type,
universal_class: $i ).
tff(ordinal_numbers_type,type,
ordinal_numbers: $i ).
tff(member_type,type,
member: ( $i * $i ) > $o ).
tff(x_type,type,
x: $i ).
tff(complement_type,type,
complement: $i > $i ).
tff(union_type,type,
union: ( $i * $i ) > $i ).
tff(image_type,type,
image: ( $i * $i ) > $i ).
tff(successor_relation_type,type,
successor_relation: $i ).
tff(singleton_type,type,
singleton: $i > $i ).
tff(null_class_type,type,
null_class: $i ).
tff(intersection_type,type,
intersection: ( $i * $i ) > $i ).
tff(limit_ordinals_type,type,
limit_ordinals: $i ).
tff(kind_1_ordinals_type,type,
kind_1_ordinals: $i ).
tff(1,plain,
( ~ member(x,limit_ordinals)
<=> ~ member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers)) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ member(x,limit_ordinals)
<=> ~ member(x,limit_ordinals) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
tff(4,plain,
~ member(x,limit_ordinals),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers)),
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
( member(x,ordinal_numbers)
<=> member(x,ordinal_numbers) ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
tff(8,plain,
member(x,ordinal_numbers),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(
( ( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
<=> ( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ) )),
inference(bind,[status(th)],]) ).
tff(10,plain,
( ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
<=> ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ) ),
inference(quant_intro,[status(thm)],[9]) ).
tff(11,plain,
( ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
<=> ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
^ [Z: $i,Y: $i,X: $i] :
rewrite(
( ( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) )
<=> ( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ) )),
inference(bind,[status(th)],]) ).
tff(13,plain,
( ! [Z: $i,Y: $i,X: $i] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) )
<=> ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,axiom,
! [Z: $i,Y: $i,X: $i] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
tff(15,plain,
! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
inference(modus_ponens,[status(thm)],[17,10]) ).
tff(19,plain,
( ( ~ ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
| member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers))
| ~ member(x,ordinal_numbers)
| ~ member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) )
<=> ( ~ ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
| member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers))
| ~ member(x,ordinal_numbers)
| ~ member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) ) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ~ ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
| member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers))
| ~ member(x,ordinal_numbers)
| ~ member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
( ~ ! [Z: $i,Y: $i,X: $i] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) )
| member(x,intersection(complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))),ordinal_numbers))
| ~ member(x,ordinal_numbers)
| ~ member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
~ member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))),
inference(unit_resolution,[status(thm)],[21,18,8,5]) ).
tff(23,plain,
( ~ member(x,kind_1_ordinals)
<=> ~ member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers))) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ~ member(x,kind_1_ordinals)
<=> ~ member(x,kind_1_ordinals) ),
inference(rewrite,[status(thm)],]) ).
tff(25,axiom,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
tff(26,plain,
~ member(x,kind_1_ordinals),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
~ member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers))),
inference(modus_ponens,[status(thm)],[26,23]) ).
tff(28,plain,
^ [Z: $i,X: $i] :
refl(
( ( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
<=> ( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
<=> ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
( ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
<=> ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
^ [Z: $i,X: $i] :
rewrite(
( ( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) )
<=> ( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ) )),
inference(bind,[status(th)],]) ).
tff(32,plain,
( ! [Z: $i,X: $i] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) )
<=> ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,axiom,
! [Z: $i,X: $i] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
tff(34,plain,
! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) ),
inference(modus_ponens,[status(thm)],[36,29]) ).
tff(38,plain,
( ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) )
<=> ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ( member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| ~ member(x,universal_class)
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) )
<=> ( member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,plain,
( ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| ~ member(x,universal_class)
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) )
<=> ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| ~ member(x,universal_class)
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) )
<=> ( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) ) ),
inference(transitivity,[status(thm)],[40,38]) ).
tff(42,plain,
( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| ~ member(x,universal_class)
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers)))) ),
inference(quant_inst,[status(thm)],]) ).
tff(43,plain,
( ~ ! [Z: $i,X: $i] :
( member(Z,X)
| ~ member(Z,universal_class)
| member(Z,complement(X)) )
| member(x,union(singleton(null_class),image(successor_relation,ordinal_numbers)))
| member(x,complement(union(singleton(null_class),image(successor_relation,ordinal_numbers))))
| ~ member(x,universal_class) ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
~ member(x,universal_class),
inference(unit_resolution,[status(thm)],[43,37,27,22]) ).
tff(45,plain,
^ [Y: $i,U: $i,X: $i] :
refl(
( ( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
<=> ( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(46,plain,
( ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
<=> ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(quant_intro,[status(thm)],[45]) ).
tff(47,plain,
( ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
<=> ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
^ [Y: $i,U: $i,X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ subclass(X,Y)
| ~ member(U,X) )
<=> ( ~ member(U,X)
| ~ subclass(X,Y) ) )),
( ( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) )
<=> ( ~ member(U,X)
| ~ subclass(X,Y)
| member(U,Y) ) )),
rewrite(
( ( ~ member(U,X)
| ~ subclass(X,Y)
| member(U,Y) )
<=> ( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) )),
( ( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) )
<=> ( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(49,plain,
( ! [Y: $i,U: $i,X: $i] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) )
<=> ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(quant_intro,[status(thm)],[48]) ).
tff(50,axiom,
! [Y: $i,U: $i,X: $i] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
tff(51,plain,
! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(modus_ponens,[status(thm)],[51,47]) ).
tff(53,plain,
! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(skolemize,[status(sab)],[52]) ).
tff(54,plain,
! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
inference(modus_ponens,[status(thm)],[53,46]) ).
tff(55,plain,
( ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) )
<=> ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) ) ),
inference(rewrite,[status(thm)],]) ).
tff(56,plain,
( ( member(x,universal_class)
| ~ member(x,ordinal_numbers)
| ~ subclass(ordinal_numbers,universal_class) )
<=> ( ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| member(x,universal_class)
| ~ member(x,ordinal_numbers)
| ~ subclass(ordinal_numbers,universal_class) )
<=> ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) ) ),
inference(monotonicity,[status(thm)],[56]) ).
tff(58,plain,
( ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| member(x,universal_class)
| ~ member(x,ordinal_numbers)
| ~ subclass(ordinal_numbers,universal_class) )
<=> ( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) ) ),
inference(transitivity,[status(thm)],[57,55]) ).
tff(59,plain,
( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| member(x,universal_class)
| ~ member(x,ordinal_numbers)
| ~ subclass(ordinal_numbers,universal_class) ),
inference(quant_inst,[status(thm)],]) ).
tff(60,plain,
( ~ ! [Y: $i,U: $i,X: $i] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) )
| ~ member(x,ordinal_numbers)
| member(x,universal_class)
| ~ subclass(ordinal_numbers,universal_class) ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
~ subclass(ordinal_numbers,universal_class),
inference(unit_resolution,[status(thm)],[60,54,8,44]) ).
tff(62,plain,
^ [X: $i] :
refl(
( subclass(X,universal_class)
<=> subclass(X,universal_class) )),
inference(bind,[status(th)],]) ).
tff(63,plain,
( ! [X: $i] : subclass(X,universal_class)
<=> ! [X: $i] : subclass(X,universal_class) ),
inference(quant_intro,[status(thm)],[62]) ).
tff(64,plain,
( ! [X: $i] : subclass(X,universal_class)
<=> ! [X: $i] : subclass(X,universal_class) ),
inference(rewrite,[status(thm)],]) ).
tff(65,axiom,
! [X: $i] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
tff(66,plain,
! [X: $i] : subclass(X,universal_class),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
! [X: $i] : subclass(X,universal_class),
inference(skolemize,[status(sab)],[66]) ).
tff(68,plain,
! [X: $i] : subclass(X,universal_class),
inference(modus_ponens,[status(thm)],[67,63]) ).
tff(69,plain,
( ~ ! [X: $i] : subclass(X,universal_class)
| subclass(ordinal_numbers,universal_class) ),
inference(quant_inst,[status(thm)],]) ).
tff(70,plain,
$false,
inference(unit_resolution,[status(thm)],[69,68,61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 08:02:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.44 % SZS status Unsatisfiable
% 0.19/0.44 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------