TSTP Solution File: PUZ002-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 14:10:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 75
% Syntax : Number of formulae : 155 ( 33 unt; 12 typ; 0 def)
% Number of atoms : 487 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 594 ( 269 ~; 265 |; 0 &)
% ( 60 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 166 ( 147 !; 0 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
tff(mouse_killer_type,type,
mouse_killer: $i > $o ).
tff(the_kangaroo_type,type,
the_kangaroo: $i ).
tff(cat_type,type,
cat: $i > $o ).
tff(in_house_type,type,
in_house: $i > $o ).
tff(takes_to_me_type,type,
takes_to_me: $i > $o ).
tff(detested_type,type,
detested: $i > $o ).
tff(avoided_type,type,
avoided: $i > $o ).
tff(carnivore_type,type,
carnivore: $i > $o ).
tff(prowler_type,type,
prowler: $i > $o ).
tff(gazer_type,type,
gazer: $i > $o ).
tff(suitable_pet_type,type,
suitable_pet: $i > $o ).
tff(kangaroo_type,type,
kangaroo: $i > $o ).
tff(1,plain,
( ~ avoided(the_kangaroo)
<=> ~ avoided(the_kangaroo) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ avoided(the_kangaroo),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_kangaroo) ).
tff(3,plain,
~ avoided(the_kangaroo),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [Detested: $i] :
refl(
( ( avoided(Detested)
| ~ detested(Detested) )
<=> ( avoided(Detested)
| ~ detested(Detested) ) )),
inference(bind,[status(th)],]) ).
tff(5,plain,
( ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
<=> ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
<=> ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
^ [Detested: $i] :
rewrite(
( ( ~ detested(Detested)
| avoided(Detested) )
<=> ( avoided(Detested)
| ~ detested(Detested) ) )),
inference(bind,[status(th)],]) ).
tff(8,plain,
( ! [Detested: $i] :
( ~ detested(Detested)
| avoided(Detested) )
<=> ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ) ),
inference(quant_intro,[status(thm)],[7]) ).
tff(9,axiom,
! [Detested: $i] :
( ~ detested(Detested)
| avoided(Detested) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',avoid_detested) ).
tff(10,plain,
! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ),
inference(skolemize,[status(sab)],[11]) ).
tff(13,plain,
! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) ),
inference(modus_ponens,[status(thm)],[12,5]) ).
tff(14,plain,
( ( ~ ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
| avoided(the_kangaroo)
| ~ detested(the_kangaroo) )
<=> ( ~ ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
| avoided(the_kangaroo)
| ~ detested(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ~ ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
| avoided(the_kangaroo)
| ~ detested(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [Detested: $i] :
( avoided(Detested)
| ~ detested(Detested) )
| avoided(the_kangaroo)
| ~ detested(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ detested(the_kangaroo),
inference(unit_resolution,[status(thm)],[16,13,3]) ).
tff(18,plain,
^ [Animal: $i] :
refl(
( ( detested(Animal)
| takes_to_me(Animal) )
<=> ( detested(Animal)
| takes_to_me(Animal) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
<=> ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
( ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
<=> ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
^ [Animal: $i] :
rewrite(
( ( takes_to_me(Animal)
| detested(Animal) )
<=> ( detested(Animal)
| takes_to_me(Animal) ) )),
inference(bind,[status(th)],]) ).
tff(22,plain,
( ! [Animal: $i] :
( takes_to_me(Animal)
| detested(Animal) )
<=> ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ) ),
inference(quant_intro,[status(thm)],[21]) ).
tff(23,axiom,
! [Animal: $i] :
( takes_to_me(Animal)
| detested(Animal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',takes_to_me_or_detested) ).
tff(24,plain,
! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ),
inference(skolemize,[status(sab)],[25]) ).
tff(27,plain,
! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) ),
inference(modus_ponens,[status(thm)],[26,19]) ).
tff(28,plain,
( ( ~ ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
| detested(the_kangaroo)
| takes_to_me(the_kangaroo) )
<=> ( ~ ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
| detested(the_kangaroo)
| takes_to_me(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
| detested(the_kangaroo)
| takes_to_me(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [Animal: $i] :
( detested(Animal)
| takes_to_me(Animal) )
| detested(the_kangaroo)
| takes_to_me(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
takes_to_me(the_kangaroo),
inference(unit_resolution,[status(thm)],[30,27,17]) ).
tff(32,plain,
^ [Taken_animal: $i] :
refl(
( ( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
<=> ( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
<=> ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
<=> ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
^ [Taken_animal: $i] :
rewrite(
( ( ~ takes_to_me(Taken_animal)
| in_house(Taken_animal) )
<=> ( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ) )),
inference(bind,[status(th)],]) ).
tff(36,plain,
( ! [Taken_animal: $i] :
( ~ takes_to_me(Taken_animal)
| in_house(Taken_animal) )
<=> ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [Taken_animal: $i] :
( ~ takes_to_me(Taken_animal)
| in_house(Taken_animal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_house_if_takes_to_me) ).
tff(38,plain,
! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
| in_house(the_kangaroo)
| ~ takes_to_me(the_kangaroo) )
<=> ( ~ ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
| in_house(the_kangaroo)
| ~ takes_to_me(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ~ ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
| in_house(the_kangaroo)
| ~ takes_to_me(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [Taken_animal: $i] :
( in_house(Taken_animal)
| ~ takes_to_me(Taken_animal) )
| in_house(the_kangaroo)
| ~ takes_to_me(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
in_house(the_kangaroo),
inference(unit_resolution,[status(thm)],[44,41,31]) ).
tff(46,plain,
^ [Cat: $i] :
refl(
( ( cat(Cat)
| ~ in_house(Cat) )
<=> ( cat(Cat)
| ~ in_house(Cat) ) )),
inference(bind,[status(th)],]) ).
tff(47,plain,
( ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
<=> ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ) ),
inference(quant_intro,[status(thm)],[46]) ).
tff(48,plain,
( ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
<=> ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ) ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
^ [Cat: $i] :
rewrite(
( ( ~ in_house(Cat)
| cat(Cat) )
<=> ( cat(Cat)
| ~ in_house(Cat) ) )),
inference(bind,[status(th)],]) ).
tff(50,plain,
( ! [Cat: $i] :
( ~ in_house(Cat)
| cat(Cat) )
<=> ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ) ),
inference(quant_intro,[status(thm)],[49]) ).
tff(51,axiom,
! [Cat: $i] :
( ~ in_house(Cat)
| cat(Cat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_cats_in_house) ).
tff(52,plain,
! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ),
inference(modus_ponens,[status(thm)],[52,48]) ).
tff(54,plain,
! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ),
inference(skolemize,[status(sab)],[53]) ).
tff(55,plain,
! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( ( ~ ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
| cat(the_kangaroo)
| ~ in_house(the_kangaroo) )
<=> ( ~ ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
| cat(the_kangaroo)
| ~ in_house(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(57,plain,
( ~ ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
| cat(the_kangaroo)
| ~ in_house(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( ~ ! [Cat: $i] :
( cat(Cat)
| ~ in_house(Cat) )
| cat(the_kangaroo)
| ~ in_house(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
cat(the_kangaroo),
inference(unit_resolution,[status(thm)],[58,55,45]) ).
tff(60,plain,
^ [Cat: $i] :
refl(
( ( mouse_killer(Cat)
| ~ cat(Cat) )
<=> ( mouse_killer(Cat)
| ~ cat(Cat) ) )),
inference(bind,[status(th)],]) ).
tff(61,plain,
( ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
<=> ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ) ),
inference(quant_intro,[status(thm)],[60]) ).
tff(62,plain,
( ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
<=> ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ) ),
inference(rewrite,[status(thm)],]) ).
tff(63,plain,
^ [Cat: $i] :
rewrite(
( ( ~ cat(Cat)
| mouse_killer(Cat) )
<=> ( mouse_killer(Cat)
| ~ cat(Cat) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [Cat: $i] :
( ~ cat(Cat)
| mouse_killer(Cat) )
<=> ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,axiom,
! [Cat: $i] :
( ~ cat(Cat)
| mouse_killer(Cat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cats_are_mice_killers) ).
tff(66,plain,
! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ),
inference(modus_ponens,[status(thm)],[66,62]) ).
tff(68,plain,
! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) ),
inference(modus_ponens,[status(thm)],[68,61]) ).
tff(70,plain,
( ( ~ ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
| mouse_killer(the_kangaroo)
| ~ cat(the_kangaroo) )
<=> ( ~ ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
| mouse_killer(the_kangaroo)
| ~ cat(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,plain,
( ~ ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
| mouse_killer(the_kangaroo)
| ~ cat(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(72,plain,
( ~ ! [Cat: $i] :
( mouse_killer(Cat)
| ~ cat(Cat) )
| mouse_killer(the_kangaroo)
| ~ cat(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
mouse_killer(the_kangaroo),
inference(unit_resolution,[status(thm)],[72,69,59]) ).
tff(74,plain,
( kangaroo(the_kangaroo)
<=> kangaroo(the_kangaroo) ),
inference(rewrite,[status(thm)],]) ).
tff(75,axiom,
kangaroo(the_kangaroo),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroo_is_a_kangaroo) ).
tff(76,plain,
kangaroo(the_kangaroo),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
^ [Kangaroo: $i] :
refl(
( ( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
<=> ( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ) )),
inference(bind,[status(th)],]) ).
tff(78,plain,
( ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
<=> ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,plain,
( ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
<=> ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(80,axiom,
! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kangaroos_are_not_pets) ).
tff(81,plain,
! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ),
inference(skolemize,[status(sab)],[81]) ).
tff(83,plain,
! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) ),
inference(modus_ponens,[status(thm)],[82,78]) ).
tff(84,plain,
( ( ~ ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
| ~ kangaroo(the_kangaroo)
| ~ suitable_pet(the_kangaroo) )
<=> ( ~ ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
| ~ kangaroo(the_kangaroo)
| ~ suitable_pet(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(85,plain,
( ~ ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
| ~ kangaroo(the_kangaroo)
| ~ suitable_pet(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(86,plain,
( ~ ! [Kangaroo: $i] :
( ~ kangaroo(Kangaroo)
| ~ suitable_pet(Kangaroo) )
| ~ kangaroo(the_kangaroo)
| ~ suitable_pet(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
~ suitable_pet(the_kangaroo),
inference(unit_resolution,[status(thm)],[86,83,76]) ).
tff(88,plain,
^ [Gazer: $i] :
refl(
( ( suitable_pet(Gazer)
| ~ gazer(Gazer) )
<=> ( suitable_pet(Gazer)
| ~ gazer(Gazer) ) )),
inference(bind,[status(th)],]) ).
tff(89,plain,
( ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
<=> ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ) ),
inference(quant_intro,[status(thm)],[88]) ).
tff(90,plain,
( ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
<=> ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ) ),
inference(rewrite,[status(thm)],]) ).
tff(91,plain,
^ [Gazer: $i] :
rewrite(
( ( ~ gazer(Gazer)
| suitable_pet(Gazer) )
<=> ( suitable_pet(Gazer)
| ~ gazer(Gazer) ) )),
inference(bind,[status(th)],]) ).
tff(92,plain,
( ! [Gazer: $i] :
( ~ gazer(Gazer)
| suitable_pet(Gazer) )
<=> ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ) ),
inference(quant_intro,[status(thm)],[91]) ).
tff(93,axiom,
! [Gazer: $i] :
( ~ gazer(Gazer)
| suitable_pet(Gazer) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gazers_are_suitable_pets) ).
tff(94,plain,
! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ),
inference(modus_ponens,[status(thm)],[94,90]) ).
tff(96,plain,
! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ),
inference(skolemize,[status(sab)],[95]) ).
tff(97,plain,
! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) ),
inference(modus_ponens,[status(thm)],[96,89]) ).
tff(98,plain,
( ( ~ ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
| suitable_pet(the_kangaroo)
| ~ gazer(the_kangaroo) )
<=> ( ~ ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
| suitable_pet(the_kangaroo)
| ~ gazer(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(99,plain,
( ~ ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
| suitable_pet(the_kangaroo)
| ~ gazer(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(100,plain,
( ~ ! [Gazer: $i] :
( suitable_pet(Gazer)
| ~ gazer(Gazer) )
| suitable_pet(the_kangaroo)
| ~ gazer(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
~ gazer(the_kangaroo),
inference(unit_resolution,[status(thm)],[100,97,87]) ).
tff(102,plain,
^ [Prowler: $i] :
refl(
( ( gazer(Prowler)
| ~ prowler(Prowler) )
<=> ( gazer(Prowler)
| ~ prowler(Prowler) ) )),
inference(bind,[status(th)],]) ).
tff(103,plain,
( ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
<=> ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ) ),
inference(quant_intro,[status(thm)],[102]) ).
tff(104,plain,
( ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
<=> ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ) ),
inference(rewrite,[status(thm)],]) ).
tff(105,plain,
^ [Prowler: $i] :
rewrite(
( ( ~ prowler(Prowler)
| gazer(Prowler) )
<=> ( gazer(Prowler)
| ~ prowler(Prowler) ) )),
inference(bind,[status(th)],]) ).
tff(106,plain,
( ! [Prowler: $i] :
( ~ prowler(Prowler)
| gazer(Prowler) )
<=> ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ) ),
inference(quant_intro,[status(thm)],[105]) ).
tff(107,axiom,
! [Prowler: $i] :
( ~ prowler(Prowler)
| gazer(Prowler) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prowlers_are_gazers) ).
tff(108,plain,
! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ),
inference(modus_ponens,[status(thm)],[107,106]) ).
tff(109,plain,
! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ),
inference(modus_ponens,[status(thm)],[108,104]) ).
tff(110,plain,
! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ),
inference(skolemize,[status(sab)],[109]) ).
tff(111,plain,
! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) ),
inference(modus_ponens,[status(thm)],[110,103]) ).
tff(112,plain,
( ( ~ ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
| gazer(the_kangaroo)
| ~ prowler(the_kangaroo) )
<=> ( ~ ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
| gazer(the_kangaroo)
| ~ prowler(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
( ~ ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
| gazer(the_kangaroo)
| ~ prowler(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(114,plain,
( ~ ! [Prowler: $i] :
( gazer(Prowler)
| ~ prowler(Prowler) )
| gazer(the_kangaroo)
| ~ prowler(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
~ prowler(the_kangaroo),
inference(unit_resolution,[status(thm)],[114,111,101]) ).
tff(116,plain,
^ [Carnivore: $i] :
refl(
( ( prowler(Carnivore)
| ~ carnivore(Carnivore) )
<=> ( prowler(Carnivore)
| ~ carnivore(Carnivore) ) )),
inference(bind,[status(th)],]) ).
tff(117,plain,
( ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
<=> ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ) ),
inference(quant_intro,[status(thm)],[116]) ).
tff(118,plain,
( ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
<=> ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ) ),
inference(rewrite,[status(thm)],]) ).
tff(119,plain,
^ [Carnivore: $i] :
rewrite(
( ( ~ carnivore(Carnivore)
| prowler(Carnivore) )
<=> ( prowler(Carnivore)
| ~ carnivore(Carnivore) ) )),
inference(bind,[status(th)],]) ).
tff(120,plain,
( ! [Carnivore: $i] :
( ~ carnivore(Carnivore)
| prowler(Carnivore) )
<=> ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ) ),
inference(quant_intro,[status(thm)],[119]) ).
tff(121,axiom,
! [Carnivore: $i] :
( ~ carnivore(Carnivore)
| prowler(Carnivore) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',carnivores_are_prowlers) ).
tff(122,plain,
! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,plain,
! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ),
inference(modus_ponens,[status(thm)],[122,118]) ).
tff(124,plain,
! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ),
inference(skolemize,[status(sab)],[123]) ).
tff(125,plain,
! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) ),
inference(modus_ponens,[status(thm)],[124,117]) ).
tff(126,plain,
( ( ~ ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
| prowler(the_kangaroo)
| ~ carnivore(the_kangaroo) )
<=> ( ~ ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
| prowler(the_kangaroo)
| ~ carnivore(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(127,plain,
( ~ ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
| prowler(the_kangaroo)
| ~ carnivore(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(128,plain,
( ~ ! [Carnivore: $i] :
( prowler(Carnivore)
| ~ carnivore(Carnivore) )
| prowler(the_kangaroo)
| ~ carnivore(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[127,126]) ).
tff(129,plain,
~ carnivore(the_kangaroo),
inference(unit_resolution,[status(thm)],[128,125,115]) ).
tff(130,plain,
^ [Killer: $i] :
refl(
( ( carnivore(Killer)
| ~ mouse_killer(Killer) )
<=> ( carnivore(Killer)
| ~ mouse_killer(Killer) ) )),
inference(bind,[status(th)],]) ).
tff(131,plain,
( ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
<=> ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ) ),
inference(quant_intro,[status(thm)],[130]) ).
tff(132,plain,
( ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
<=> ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ) ),
inference(rewrite,[status(thm)],]) ).
tff(133,plain,
^ [Killer: $i] :
rewrite(
( ( ~ mouse_killer(Killer)
| carnivore(Killer) )
<=> ( carnivore(Killer)
| ~ mouse_killer(Killer) ) )),
inference(bind,[status(th)],]) ).
tff(134,plain,
( ! [Killer: $i] :
( ~ mouse_killer(Killer)
| carnivore(Killer) )
<=> ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ) ),
inference(quant_intro,[status(thm)],[133]) ).
tff(135,axiom,
! [Killer: $i] :
( ~ mouse_killer(Killer)
| carnivore(Killer) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mouse_killers_are_carnivores) ).
tff(136,plain,
! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ),
inference(modus_ponens,[status(thm)],[135,134]) ).
tff(137,plain,
! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ),
inference(modus_ponens,[status(thm)],[136,132]) ).
tff(138,plain,
! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ),
inference(skolemize,[status(sab)],[137]) ).
tff(139,plain,
! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) ),
inference(modus_ponens,[status(thm)],[138,131]) ).
tff(140,plain,
( ( ~ ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
| carnivore(the_kangaroo)
| ~ mouse_killer(the_kangaroo) )
<=> ( ~ ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
| carnivore(the_kangaroo)
| ~ mouse_killer(the_kangaroo) ) ),
inference(rewrite,[status(thm)],]) ).
tff(141,plain,
( ~ ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
| carnivore(the_kangaroo)
| ~ mouse_killer(the_kangaroo) ),
inference(quant_inst,[status(thm)],]) ).
tff(142,plain,
( ~ ! [Killer: $i] :
( carnivore(Killer)
| ~ mouse_killer(Killer) )
| carnivore(the_kangaroo)
| ~ mouse_killer(the_kangaroo) ),
inference(modus_ponens,[status(thm)],[141,140]) ).
tff(143,plain,
$false,
inference(unit_resolution,[status(thm)],[142,139,129,73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 18:00:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------