TSTP Solution File: PUZ029-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 14:10:57 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 84
% Syntax : Number of formulae : 174 ( 37 unt; 14 typ; 0 def)
% Number of atoms : 920 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 1288 ( 577 ~; 625 |; 0 &)
% ( 86 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 49 ( 49 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 178 ( 159 !; 0 ?; 178 :)
% Comments :
%------------------------------------------------------------------------------
tff(eats_lunch_in_public_type,type,
eats_lunch_in_public: $i > $o ).
tff(piggy_type,type,
piggy: $i ).
tff(fat_type,type,
fat: $i > $o ).
tff(dances_on_tightropes_type,type,
dances_on_tightropes: $i > $o ).
tff(liable_to_giddiness_type,type,
liable_to_giddiness: $i > $o ).
tff(balloonist_type,type,
balloonist: $i > $o ).
tff(young_type,type,
young: $i > $o ).
tff(wise_type,type,
wise: $i > $o ).
tff(treated_with_respect_type,type,
treated_with_respect: $i > $o ).
tff(pig_type,type,
pig: $i > $o ).
tff(looks_ridiculous_type,type,
looks_ridiculous: $i > $o ).
tff(has_umbrella_type,type,
has_umbrella: $i > $o ).
tff(eats_pennybuns_type,type,
eats_pennybuns: $i > $o ).
tff(old_type,type,
old: $i > $o ).
tff(1,plain,
( balloonist(piggy)
<=> balloonist(piggy) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
balloonist(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).
tff(3,plain,
balloonist(piggy),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( young(piggy)
<=> young(piggy) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
young(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_young) ).
tff(6,plain,
young(piggy),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
^ [X: $i] :
refl(
( ( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
<=> ( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
<=> ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,plain,
( ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
<=> ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
^ [X: $i] :
rewrite(
( ( ~ balloonist(X)
| ~ young(X)
| liable_to_giddiness(X) )
<=> ( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [X: $i] :
( ~ balloonist(X)
| ~ young(X)
| liable_to_giddiness(X) )
<=> ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,axiom,
! [X: $i] :
( ~ balloonist(X)
| ~ young(X)
| liable_to_giddiness(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).
tff(13,plain,
! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ),
inference(modus_ponens,[status(thm)],[13,9]) ).
tff(15,plain,
! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) ),
inference(modus_ponens,[status(thm)],[15,8]) ).
tff(17,plain,
( ( ~ ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
| liable_to_giddiness(piggy)
| ~ balloonist(piggy)
| ~ young(piggy) )
<=> ( ~ ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
| liable_to_giddiness(piggy)
| ~ balloonist(piggy)
| ~ young(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,plain,
( ~ ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
| liable_to_giddiness(piggy)
| ~ balloonist(piggy)
| ~ young(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [X: $i] :
( liable_to_giddiness(X)
| ~ balloonist(X)
| ~ young(X) )
| liable_to_giddiness(piggy)
| ~ balloonist(piggy)
| ~ young(piggy) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
liable_to_giddiness(piggy),
inference(unit_resolution,[status(thm)],[19,16,6,3]) ).
tff(21,plain,
( wise(piggy)
<=> wise(piggy) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
wise(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_wise) ).
tff(23,plain,
wise(piggy),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
^ [X: $i] :
refl(
( ( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
<=> ( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ) )),
inference(bind,[status(th)],]) ).
tff(25,plain,
( ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
<=> ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ) ),
inference(quant_intro,[status(thm)],[24]) ).
tff(26,plain,
( ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
<=> ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(27,plain,
^ [X: $i] :
rewrite(
( ( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
<=> ( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
<=> ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,axiom,
! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).
tff(30,plain,
! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[30,26]) ).
tff(32,plain,
! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[32,25]) ).
tff(34,plain,
( ( ~ ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
| ~ liable_to_giddiness(piggy)
| ~ wise(piggy)
| ~ dances_on_tightropes(piggy) )
<=> ( ~ ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
| ~ liable_to_giddiness(piggy)
| ~ wise(piggy)
| ~ dances_on_tightropes(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ~ ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
| ~ liable_to_giddiness(piggy)
| ~ wise(piggy)
| ~ dances_on_tightropes(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(36,plain,
( ~ ! [X: $i] :
( ~ liable_to_giddiness(X)
| ~ wise(X)
| ~ dances_on_tightropes(X) )
| ~ liable_to_giddiness(piggy)
| ~ wise(piggy)
| ~ dances_on_tightropes(piggy) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
~ dances_on_tightropes(piggy),
inference(unit_resolution,[status(thm)],[36,33,23,20]) ).
tff(38,plain,
( pig(piggy)
<=> pig(piggy) ),
inference(rewrite,[status(thm)],]) ).
tff(39,axiom,
pig(piggy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_a_pig) ).
tff(40,plain,
pig(piggy),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
^ [X: $i] :
refl(
( ( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
<=> ( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) )),
inference(bind,[status(th)],]) ).
tff(42,plain,
( ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
<=> ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
<=> ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ pig(X)
| ~ liable_to_giddiness(X) )
<=> ( ~ liable_to_giddiness(X)
| ~ pig(X) ) )),
( ( ~ pig(X)
| ~ liable_to_giddiness(X)
| treated_with_respect(X) )
<=> ( ~ liable_to_giddiness(X)
| ~ pig(X)
| treated_with_respect(X) ) )),
rewrite(
( ( ~ liable_to_giddiness(X)
| ~ pig(X)
| treated_with_respect(X) )
<=> ( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) )),
( ( ~ pig(X)
| ~ liable_to_giddiness(X)
| treated_with_respect(X) )
<=> ( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) )),
inference(bind,[status(th)],]) ).
tff(45,plain,
( ! [X: $i] :
( ~ pig(X)
| ~ liable_to_giddiness(X)
| treated_with_respect(X) )
<=> ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ) ),
inference(quant_intro,[status(thm)],[44]) ).
tff(46,axiom,
! [X: $i] :
( ~ pig(X)
| ~ liable_to_giddiness(X)
| treated_with_respect(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).
tff(47,plain,
! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ( ~ ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
| treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy)
| ~ pig(piggy) )
<=> ( ~ ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
| treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy)
| ~ pig(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ~ ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
| treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy)
| ~ pig(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
( ~ ! [X: $i] :
( treated_with_respect(X)
| ~ liable_to_giddiness(X)
| ~ pig(X) )
| treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy)
| ~ pig(piggy) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
( treated_with_respect(piggy)
| ~ liable_to_giddiness(piggy) ),
inference(unit_resolution,[status(thm)],[53,50,40]) ).
tff(55,plain,
treated_with_respect(piggy),
inference(unit_resolution,[status(thm)],[54,20]) ).
tff(56,plain,
^ [X: $i] :
refl(
( ( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
<=> ( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
<=> ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
( ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
<=> ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(59,plain,
^ [X: $i] :
rewrite(
( ( dances_on_tightropes(X)
| ~ treated_with_respect(X)
| fat(X) )
<=> ( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ) )),
inference(bind,[status(th)],]) ).
tff(60,plain,
( ! [X: $i] :
( dances_on_tightropes(X)
| ~ treated_with_respect(X)
| fat(X) )
<=> ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,axiom,
! [X: $i] :
( dances_on_tightropes(X)
| ~ treated_with_respect(X)
| fat(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).
tff(62,plain,
! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ),
inference(modus_ponens,[status(thm)],[62,58]) ).
tff(64,plain,
! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ),
inference(skolemize,[status(sab)],[63]) ).
tff(65,plain,
! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) ),
inference(modus_ponens,[status(thm)],[64,57]) ).
tff(66,plain,
( ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) )
<=> ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(67,plain,
( ( ~ treated_with_respect(piggy)
| dances_on_tightropes(piggy)
| fat(piggy) )
<=> ( dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| ~ treated_with_respect(piggy)
| dances_on_tightropes(piggy)
| fat(piggy) )
<=> ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) ) ),
inference(monotonicity,[status(thm)],[67]) ).
tff(69,plain,
( ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| ~ treated_with_respect(piggy)
| dances_on_tightropes(piggy)
| fat(piggy) )
<=> ( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) ) ),
inference(transitivity,[status(thm)],[68,66]) ).
tff(70,plain,
( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| ~ treated_with_respect(piggy)
| dances_on_tightropes(piggy)
| fat(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
( ~ ! [X: $i] :
( ~ treated_with_respect(X)
| dances_on_tightropes(X)
| fat(X) )
| dances_on_tightropes(piggy)
| ~ treated_with_respect(piggy)
| fat(piggy) ),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
fat(piggy),
inference(unit_resolution,[status(thm)],[71,65,55,37]) ).
tff(73,plain,
^ [X: $i] :
refl(
( ( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
<=> ( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) )),
inference(bind,[status(th)],]) ).
tff(74,plain,
( ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
<=> ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) ),
inference(quant_intro,[status(thm)],[73]) ).
tff(75,plain,
( ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
<=> ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(76,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ wise(X)
| ~ balloonist(X) )
<=> ( ~ balloonist(X)
| ~ wise(X) ) )),
( ( ~ wise(X)
| ~ balloonist(X)
| has_umbrella(X) )
<=> ( ~ balloonist(X)
| ~ wise(X)
| has_umbrella(X) ) )),
rewrite(
( ( ~ balloonist(X)
| ~ wise(X)
| has_umbrella(X) )
<=> ( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) )),
( ( ~ wise(X)
| ~ balloonist(X)
| has_umbrella(X) )
<=> ( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) )),
inference(bind,[status(th)],]) ).
tff(77,plain,
( ! [X: $i] :
( ~ wise(X)
| ~ balloonist(X)
| has_umbrella(X) )
<=> ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ) ),
inference(quant_intro,[status(thm)],[76]) ).
tff(78,axiom,
! [X: $i] :
( ~ wise(X)
| ~ balloonist(X)
| has_umbrella(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).
tff(79,plain,
! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ),
inference(modus_ponens,[status(thm)],[79,75]) ).
tff(81,plain,
! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ),
inference(skolemize,[status(sab)],[80]) ).
tff(82,plain,
! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) ),
inference(modus_ponens,[status(thm)],[81,74]) ).
tff(83,plain,
( ( ~ ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
| has_umbrella(piggy)
| ~ balloonist(piggy)
| ~ wise(piggy) )
<=> ( ~ ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
| has_umbrella(piggy)
| ~ balloonist(piggy)
| ~ wise(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(84,plain,
( ~ ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
| has_umbrella(piggy)
| ~ balloonist(piggy)
| ~ wise(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(85,plain,
( ~ ! [X: $i] :
( has_umbrella(X)
| ~ balloonist(X)
| ~ wise(X) )
| has_umbrella(piggy)
| ~ balloonist(piggy)
| ~ wise(piggy) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
has_umbrella(piggy),
inference(unit_resolution,[status(thm)],[85,82,23,3]) ).
tff(87,plain,
^ [X: $i] :
refl(
( ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
<=> ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) )),
inference(bind,[status(th)],]) ).
tff(88,plain,
( ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
<=> ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) ),
inference(quant_intro,[status(thm)],[87]) ).
tff(89,plain,
( ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
<=> ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ pig(X)
| ~ has_umbrella(X) )
<=> ( ~ has_umbrella(X)
| ~ pig(X) ) )),
( ( ~ pig(X)
| ~ has_umbrella(X)
| looks_ridiculous(X) )
<=> ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) )),
rewrite(
( ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
<=> ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) )),
( ( ~ pig(X)
| ~ has_umbrella(X)
| looks_ridiculous(X) )
<=> ( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) )),
inference(bind,[status(th)],]) ).
tff(91,plain,
( ! [X: $i] :
( ~ pig(X)
| ~ has_umbrella(X)
| looks_ridiculous(X) )
<=> ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ) ),
inference(quant_intro,[status(thm)],[90]) ).
tff(92,axiom,
! [X: $i] :
( ~ pig(X)
| ~ has_umbrella(X)
| looks_ridiculous(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).
tff(93,plain,
! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[93,89]) ).
tff(95,plain,
! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ),
inference(skolemize,[status(sab)],[94]) ).
tff(96,plain,
! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[95,88]) ).
tff(97,plain,
( ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) )
<=> ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(98,plain,
( ( ~ has_umbrella(piggy)
| ~ pig(piggy)
| looks_ridiculous(piggy) )
<=> ( ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,plain,
( ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ has_umbrella(piggy)
| ~ pig(piggy)
| looks_ridiculous(piggy) )
<=> ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ) ),
inference(monotonicity,[status(thm)],[98]) ).
tff(100,plain,
( ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ has_umbrella(piggy)
| ~ pig(piggy)
| looks_ridiculous(piggy) )
<=> ( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ) ),
inference(transitivity,[status(thm)],[99,97]) ).
tff(101,plain,
( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ has_umbrella(piggy)
| ~ pig(piggy)
| looks_ridiculous(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(102,plain,
( ~ ! [X: $i] :
( ~ has_umbrella(X)
| ~ pig(X)
| looks_ridiculous(X) )
| ~ pig(piggy)
| ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ),
inference(modus_ponens,[status(thm)],[101,100]) ).
tff(103,plain,
( ~ has_umbrella(piggy)
| looks_ridiculous(piggy) ),
inference(unit_resolution,[status(thm)],[102,96,40]) ).
tff(104,plain,
looks_ridiculous(piggy),
inference(unit_resolution,[status(thm)],[103,86]) ).
tff(105,plain,
^ [X: $i] :
refl(
( ( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
<=> ( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) )),
inference(bind,[status(th)],]) ).
tff(106,plain,
( ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
<=> ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) ),
inference(quant_intro,[status(thm)],[105]) ).
tff(107,plain,
( ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
<=> ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(108,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ fat(X)
| ~ looks_ridiculous(X)
| dances_on_tightropes(X) )
<=> ( dances_on_tightropes(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) )),
( ( ~ fat(X)
| ~ looks_ridiculous(X)
| dances_on_tightropes(X)
| eats_lunch_in_public(X) )
<=> ( dances_on_tightropes(X)
| ~ looks_ridiculous(X)
| ~ fat(X)
| eats_lunch_in_public(X) ) )),
rewrite(
( ( dances_on_tightropes(X)
| ~ looks_ridiculous(X)
| ~ fat(X)
| eats_lunch_in_public(X) )
<=> ( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) )),
( ( ~ fat(X)
| ~ looks_ridiculous(X)
| dances_on_tightropes(X)
| eats_lunch_in_public(X) )
<=> ( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) )),
inference(bind,[status(th)],]) ).
tff(109,plain,
( ! [X: $i] :
( ~ fat(X)
| ~ looks_ridiculous(X)
| dances_on_tightropes(X)
| eats_lunch_in_public(X) )
<=> ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ) ),
inference(quant_intro,[status(thm)],[108]) ).
tff(110,axiom,
! [X: $i] :
( ~ fat(X)
| ~ looks_ridiculous(X)
| dances_on_tightropes(X)
| eats_lunch_in_public(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).
tff(111,plain,
! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ),
inference(modus_ponens,[status(thm)],[111,107]) ).
tff(113,plain,
! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ),
inference(skolemize,[status(sab)],[112]) ).
tff(114,plain,
! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) ),
inference(modus_ponens,[status(thm)],[113,106]) ).
tff(115,plain,
( ( ~ ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
| dances_on_tightropes(piggy)
| eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ fat(piggy) )
<=> ( ~ ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
| dances_on_tightropes(piggy)
| eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ fat(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(116,plain,
( ~ ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
| dances_on_tightropes(piggy)
| eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ fat(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(117,plain,
( ~ ! [X: $i] :
( dances_on_tightropes(X)
| eats_lunch_in_public(X)
| ~ looks_ridiculous(X)
| ~ fat(X) )
| dances_on_tightropes(piggy)
| eats_lunch_in_public(piggy)
| ~ looks_ridiculous(piggy)
| ~ fat(piggy) ),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
eats_lunch_in_public(piggy),
inference(unit_resolution,[status(thm)],[117,114,104,37,72]) ).
tff(119,plain,
^ [X: $i] :
refl(
( ( ~ young(X)
| ~ old(X) )
<=> ( ~ young(X)
| ~ old(X) ) )),
inference(bind,[status(th)],]) ).
tff(120,plain,
( ! [X: $i] :
( ~ young(X)
| ~ old(X) )
<=> ! [X: $i] :
( ~ young(X)
| ~ old(X) ) ),
inference(quant_intro,[status(thm)],[119]) ).
tff(121,plain,
( ! [X: $i] :
( ~ young(X)
| ~ old(X) )
<=> ! [X: $i] :
( ~ young(X)
| ~ old(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(122,axiom,
! [X: $i] :
( ~ young(X)
| ~ old(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_young_and_old) ).
tff(123,plain,
! [X: $i] :
( ~ young(X)
| ~ old(X) ),
inference(modus_ponens,[status(thm)],[122,121]) ).
tff(124,plain,
! [X: $i] :
( ~ young(X)
| ~ old(X) ),
inference(skolemize,[status(sab)],[123]) ).
tff(125,plain,
! [X: $i] :
( ~ young(X)
| ~ old(X) ),
inference(modus_ponens,[status(thm)],[124,120]) ).
tff(126,plain,
( ( ~ ! [X: $i] :
( ~ young(X)
| ~ old(X) )
| ~ young(piggy)
| ~ old(piggy) )
<=> ( ~ ! [X: $i] :
( ~ young(X)
| ~ old(X) )
| ~ young(piggy)
| ~ old(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(127,plain,
( ~ ! [X: $i] :
( ~ young(X)
| ~ old(X) )
| ~ young(piggy)
| ~ old(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(128,plain,
( ~ ! [X: $i] :
( ~ young(X)
| ~ old(X) )
| ~ young(piggy)
| ~ old(piggy) ),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
~ old(piggy),
inference(unit_resolution,[status(thm)],[128,125,6]) ).
tff(130,plain,
^ [X: $i] :
refl(
( ( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
<=> ( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ) )),
inference(bind,[status(th)],]) ).
tff(131,plain,
( ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
<=> ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ) ),
inference(quant_intro,[status(thm)],[130]) ).
tff(132,plain,
( ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
<=> ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(133,plain,
^ [X: $i] :
rewrite(
( ( dances_on_tightropes(X)
| eats_pennybuns(X)
| old(X) )
<=> ( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ) )),
inference(bind,[status(th)],]) ).
tff(134,plain,
( ! [X: $i] :
( dances_on_tightropes(X)
| eats_pennybuns(X)
| old(X) )
<=> ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ) ),
inference(quant_intro,[status(thm)],[133]) ).
tff(135,axiom,
! [X: $i] :
( dances_on_tightropes(X)
| eats_pennybuns(X)
| old(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boring_old_people) ).
tff(136,plain,
! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[135,134]) ).
tff(137,plain,
! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[136,132]) ).
tff(138,plain,
! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ),
inference(skolemize,[status(sab)],[137]) ).
tff(139,plain,
! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) ),
inference(modus_ponens,[status(thm)],[138,131]) ).
tff(140,plain,
( ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) )
<=> ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(141,plain,
( ( old(piggy)
| eats_pennybuns(piggy)
| dances_on_tightropes(piggy) )
<=> ( dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(142,plain,
( ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| old(piggy)
| eats_pennybuns(piggy)
| dances_on_tightropes(piggy) )
<=> ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) ) ),
inference(monotonicity,[status(thm)],[141]) ).
tff(143,plain,
( ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| old(piggy)
| eats_pennybuns(piggy)
| dances_on_tightropes(piggy) )
<=> ( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) ) ),
inference(transitivity,[status(thm)],[142,140]) ).
tff(144,plain,
( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| old(piggy)
| eats_pennybuns(piggy)
| dances_on_tightropes(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(145,plain,
( ~ ! [X: $i] :
( old(X)
| eats_pennybuns(X)
| dances_on_tightropes(X) )
| dances_on_tightropes(piggy)
| old(piggy)
| eats_pennybuns(piggy) ),
inference(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
eats_pennybuns(piggy),
inference(unit_resolution,[status(thm)],[145,139,37,129]) ).
tff(147,plain,
^ [X: $i] :
refl(
( ( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
<=> ( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) )),
inference(bind,[status(th)],]) ).
tff(148,plain,
( ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
<=> ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) ),
inference(quant_intro,[status(thm)],[147]) ).
tff(149,plain,
( ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
<=> ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(150,plain,
^ [X: $i] :
trans(
monotonicity(
rewrite(
( ( ~ looks_ridiculous(X)
| ~ eats_pennybuns(X) )
<=> ( ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) )),
( ( ~ looks_ridiculous(X)
| ~ eats_pennybuns(X)
| ~ eats_lunch_in_public(X) )
<=> ( ~ eats_pennybuns(X)
| ~ looks_ridiculous(X)
| ~ eats_lunch_in_public(X) ) )),
rewrite(
( ( ~ eats_pennybuns(X)
| ~ looks_ridiculous(X)
| ~ eats_lunch_in_public(X) )
<=> ( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) )),
( ( ~ looks_ridiculous(X)
| ~ eats_pennybuns(X)
| ~ eats_lunch_in_public(X) )
<=> ( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) )),
inference(bind,[status(th)],]) ).
tff(151,plain,
( ! [X: $i] :
( ~ looks_ridiculous(X)
| ~ eats_pennybuns(X)
| ~ eats_lunch_in_public(X) )
<=> ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ) ),
inference(quant_intro,[status(thm)],[150]) ).
tff(152,axiom,
! [X: $i] :
( ~ looks_ridiculous(X)
| ~ eats_pennybuns(X)
| ~ eats_lunch_in_public(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).
tff(153,plain,
! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[152,151]) ).
tff(154,plain,
! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[153,149]) ).
tff(155,plain,
! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ),
inference(skolemize,[status(sab)],[154]) ).
tff(156,plain,
! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) ),
inference(modus_ponens,[status(thm)],[155,148]) ).
tff(157,plain,
( ( ~ ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
| ~ eats_lunch_in_public(piggy)
| ~ eats_pennybuns(piggy)
| ~ looks_ridiculous(piggy) )
<=> ( ~ ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
| ~ eats_lunch_in_public(piggy)
| ~ eats_pennybuns(piggy)
| ~ looks_ridiculous(piggy) ) ),
inference(rewrite,[status(thm)],]) ).
tff(158,plain,
( ~ ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
| ~ eats_lunch_in_public(piggy)
| ~ eats_pennybuns(piggy)
| ~ looks_ridiculous(piggy) ),
inference(quant_inst,[status(thm)],]) ).
tff(159,plain,
( ~ ! [X: $i] :
( ~ eats_lunch_in_public(X)
| ~ eats_pennybuns(X)
| ~ looks_ridiculous(X) )
| ~ eats_lunch_in_public(piggy)
| ~ eats_pennybuns(piggy)
| ~ looks_ridiculous(piggy) ),
inference(modus_ponens,[status(thm)],[158,157]) ).
tff(160,plain,
$false,
inference(unit_resolution,[status(thm)],[159,156,104,146,118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n016.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 18:44:36 EDT 2022
% 0.12/0.33 % 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.
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------