TSTP Solution File: PUZ031_10 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : PUZ031_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n015.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 : Mon May 22 15:42:05 EDT 2023

% Result   : Satisfiable 0.21s 0.43s
% Output   : Model 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ031_10 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon May 22 12:44:11 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 0.21/0.43  % SZS status Satisfiable
% 0.21/0.43  % SZS output start Model
% 0.21/0.43  tff(animal_val_2_type, type, (
% 0.21/0.43     animal_val_2: animal)).
% 0.21/0.43  tff(caterpillar_to_animal_type, type, (
% 0.21/0.43     caterpillar_to_animal: caterpillar > animal)).
% 0.21/0.43  tff(animal_val_3_type, type, (
% 0.21/0.43     animal_val_3: animal)).
% 0.21/0.43  tff(fox_to_animal_type, type, (
% 0.21/0.43     fox_to_animal: fox > animal)).
% 0.21/0.43  tff(animal_val_0_type, type, (
% 0.21/0.43     animal_val_0: animal)).
% 0.21/0.43  tff(snail_to_animal_type, type, (
% 0.21/0.43     snail_to_animal: snail > animal)).
% 0.21/0.43  tff(animal_val_4_type, type, (
% 0.21/0.43     animal_val_4: animal)).
% 0.21/0.43  tff(animal_val_1_type, type, (
% 0.21/0.43     animal_val_1: animal)).
% 0.21/0.43  tff(much_smaller_type, type, (
% 0.21/0.43     much_smaller: ( animal * animal ) > $o)).
% 0.21/0.43  tff(edible_val_7_type, type, (
% 0.21/0.43     edible_val_7: edible)).
% 0.21/0.43  tff(edible_val_0_type, type, (
% 0.21/0.43     edible_val_0: edible)).
% 0.21/0.43  tff(edible_val_3_type, type, (
% 0.21/0.43     edible_val_3: edible)).
% 0.21/0.43  tff(edible_val_4_type, type, (
% 0.21/0.43     edible_val_4: edible)).
% 0.21/0.43  tff(edible_val_5_type, type, (
% 0.21/0.43     edible_val_5: edible)).
% 0.21/0.43  tff(animal_to_edible_type, type, (
% 0.21/0.43     animal_to_edible: animal > edible)).
% 0.21/0.43  tff(bird_to_animal_type, type, (
% 0.21/0.43     bird_to_animal: bird > animal)).
% 0.21/0.43  tff(edible_val_1_type, type, (
% 0.21/0.43     edible_val_1: edible)).
% 0.21/0.43  tff(edible_val_2_type, type, (
% 0.21/0.43     edible_val_2: edible)).
% 0.21/0.43  tff(eats_type, type, (
% 0.21/0.43     eats: ( animal * edible ) > $o)).
% 0.21/0.43  tff(edible_val_6_type, type, (
% 0.21/0.43     edible_val_6: edible)).
% 0.21/0.43  tff(plant_val_0_type, type, (
% 0.21/0.43     plant_val_0: plant)).
% 0.21/0.43  tff(plant_val_1_type, type, (
% 0.21/0.43     plant_val_1: plant)).
% 0.21/0.43  tff(plant_to_edible_type, type, (
% 0.21/0.43     plant_to_edible: plant > edible)).
% 0.21/0.43  tff(wolf_to_animal_type, type, (
% 0.21/0.43     wolf_to_animal: wolf > animal)).
% 0.21/0.43  tff(grain_to_plant_type, type, (
% 0.21/0.43     grain_to_plant: grain > plant)).
% 0.21/0.43  tff(formula1, axiom,
% 0.21/0.43      ![X0: caterpillar] : (caterpillar_to_animal(X0) = animal!val!2)).
% 0.21/0.43  tff(formula2, axiom,
% 0.21/0.43      ![X0: fox] : (fox_to_animal(X0) = animal!val!3)).
% 0.21/0.43  tff(formula3, axiom,
% 0.21/0.43      ![X0: snail] : (snail_to_animal(X0) = animal!val!0)).
% 0.21/0.43  tff(formula4, axiom,
% 0.21/0.43      ![X0: animal, X1: animal] : (much_smaller(X0, X1) <=> (((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1) & (ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!3)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!2) & (ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!0) & (ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!3) & (ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!4))))).
% 0.21/0.43  tff(formula5, axiom,
% 0.21/0.43      ![X0: animal] : (animal_to_edible(X0) = ite_t((ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!3), edible!val!5, ite_t((ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1), edible!val!4, ite_t((ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!0), edible!val!3, ite_t((ite_t((X0 = animal!val!3), animal!val!3, ite_t((X0 = animal!val!0), animal!val!0, ite_t((X0 = animal!val!4), animal!val!4, ite_t((X0 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!2), edible!val!0, edible!val!7)))))).
% 0.21/0.43  tff(formula6, axiom,
% 0.21/0.43      ![X0: bird] : (bird_to_animal(X0) = animal!val!1)).
% 0.21/0.43  tff(formula7, axiom,
% 0.21/0.43      ![X0: animal, X1: edible] : (eats(X0, X1) <=> (((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1) & (X0 = edible!val!0)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!2) & (X0 = edible!val!1)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!0) & (X0 = edible!val!2)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!3) & (X0 = edible!val!4)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1) & (X0 = edible!val!2)) | ((ite_t((X1 = animal!val!3), animal!val!3, ite_t((X1 = animal!val!0), animal!val!0, ite_t((X1 = animal!val!4), animal!val!4, ite_t((X1 = animal!val!1), animal!val!1, animal!val!2)))) = animal!val!1) & (X0 = edible!val!1))))).
% 0.21/0.43  tff(formula8, axiom,
% 0.21/0.43      ![X0: plant] : (plant_to_edible(X0) = ite_t((ite_t((X0 = plant!val!0), plant!val!0, plant!val!1) = plant!val!1), edible!val!2, ite_t((ite_t((X0 = plant!val!0), plant!val!0, plant!val!1) = plant!val!0), edible!val!1, edible!val!6)))).
% 0.21/0.43  tff(formula9, axiom,
% 0.21/0.43      ![X0: wolf] : (wolf_to_animal(X0) = animal!val!4)).
% 0.21/0.43  tff(formula10, axiom,
% 0.21/0.43      ![X0: grain] : (grain_to_plant(X0) = plant!val!1)).
% 0.21/0.43  % SZS output end Model
%------------------------------------------------------------------------------