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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : PUZ031_10 : TPTP v9.0.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n012.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 : Sat Jun 21 05:23:13 AM UTC 2025

% Result   : Satisfiable 0.19s 0.41s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ031_10 : TPTP v9.0.0. Released v8.2.0.
% 0.12/0.12  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Jun 20 02:40:10 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.19/0.41  % SZS status Satisfiable
% 0.19/0.41  % SZS output start Model
% 0.19/0.41  tff(edible_val_6_type, type, (
% 0.19/0.41     edible_val_6: edible)).
% 0.19/0.41  tff(animal_to_edible_type, type, (
% 0.19/0.41     animal_to_edible: animal > edible)).
% 0.19/0.41  tff(animal_val_0_type, type, (
% 0.19/0.41     animal_val_0: animal)).
% 0.19/0.41  tff(edible_val_7_type, type, (
% 0.19/0.41     edible_val_7: edible)).
% 0.19/0.41  tff(edible_val_0_type, type, (
% 0.19/0.41     edible_val_0: edible)).
% 0.19/0.41  tff(animal_val_4_type, type, (
% 0.19/0.41     animal_val_4: animal)).
% 0.19/0.41  tff(animal_val_3_type, type, (
% 0.19/0.41     animal_val_3: animal)).
% 0.19/0.41  tff(animal_val_1_type, type, (
% 0.19/0.41     animal_val_1: animal)).
% 0.19/0.41  tff(edible_val_3_type, type, (
% 0.19/0.41     edible_val_3: edible)).
% 0.19/0.41  tff(edible_val_4_type, type, (
% 0.19/0.41     edible_val_4: edible)).
% 0.19/0.41  tff(edible_val_5_type, type, (
% 0.19/0.41     edible_val_5: edible)).
% 0.19/0.41  tff(edible_val_2_type, type, (
% 0.19/0.41     edible_val_2: edible)).
% 0.19/0.41  tff(edible_val_1_type, type, (
% 0.19/0.41     edible_val_1: edible)).
% 0.19/0.41  tff(eats_type, type, (
% 0.19/0.41     eats: ( animal * edible ) > $o)).
% 0.19/0.41  tff(bird_to_animal_type, type, (
% 0.19/0.41     bird_to_animal: bird > animal)).
% 0.19/0.41  tff(much_smaller_type, type, (
% 0.19/0.41     much_smaller: ( animal * animal ) > $o)).
% 0.19/0.41  tff(plant_to_edible_type, type, (
% 0.19/0.41     plant_to_edible: plant > edible)).
% 0.19/0.41  tff(plant_val_2_type, type, (
% 0.19/0.41     plant_val_2: plant)).
% 0.19/0.41  tff(edible_val_8_type, type, (
% 0.19/0.41     edible_val_8: edible)).
% 0.19/0.41  tff(plant_val_0_type, type, (
% 0.19/0.41     plant_val_0: plant)).
% 0.19/0.41  tff(wolf_to_animal_type, type, (
% 0.19/0.41     wolf_to_animal: wolf > animal)).
% 0.19/0.41  tff(animal_val_2_type, type, (
% 0.19/0.41     animal_val_2: animal)).
% 0.19/0.41  tff(snail_to_animal_type, type, (
% 0.19/0.41     snail_to_animal: snail > animal)).
% 0.19/0.41  tff(fox_to_animal_type, type, (
% 0.19/0.41     fox_to_animal: fox > animal)).
% 0.19/0.41  tff(caterpillar_to_animal_type, type, (
% 0.19/0.41     caterpillar_to_animal: caterpillar > animal)).
% 0.19/0.41  tff(grain_to_plant_type, type, (
% 0.19/0.41     grain_to_plant: grain > plant)).
% 0.19/0.41  tff(formula1, axiom,
% 0.19/0.41      animal_to_edible(animal!val!0) = edible!val!6).
% 0.19/0.41  tff(formula2, axiom,
% 0.19/0.41      ![X0: animal] : ((~((animal!val!0 = X0))) => (animal_to_edible(X0) = ite_t(((X0 = animal!val!4) & (~(X0 = animal!val!0))), edible!val!4, ite_t(((~(X0 = animal!val!1)) & (~(X0 = animal!val!3)) & (~(X0 = animal!val!4)) & (~(X0 = animal!val!0))), edible!val!3, ite_t(((X0 = animal!val!1) & (~(X0 = animal!val!3)) & (~(X0 = animal!val!4)) & (~(X0 = animal!val!0))), edible!val!0, edible!val!7)))))).
% 0.19/0.41  tff(formula3, axiom,
% 0.19/0.41      ![X0: animal, X1: edible] : (eats(X0, X1) <=> ((~((X1 = animal!val!4) & (~(X1 = animal!val!0)) & (X0 = edible!val!5))) & (~((X1 = animal!val!4) & (~(X1 = animal!val!0)) & (X0 = edible!val!1))) & (~((X1 = animal!val!4) & (~(X1 = animal!val!0)) & (X0 = edible!val!2))) & (~((X1 = animal!val!3) & (~(X1 = animal!val!4)) & (~(X1 = animal!val!0)) & (X0 = edible!val!5))) & (~((X1 = animal!val!3) & (~(X1 = animal!val!4)) & (~(X1 = animal!val!0)) & (X0 = edible!val!4))) & (~((X1 = animal!val!0) & (X0 = edible!val!3)))))).
% 0.19/0.41  tff(formula4, axiom,
% 0.19/0.41      ![X0: bird] : (bird_to_animal(X0) = animal!val!0)).
% 0.19/0.41  tff(formula5, axiom,
% 0.19/0.41      ![X0: animal, X1: animal] : (much_smaller(X0, X1) <=> (((X1 = animal!val!4) & (~(X1 = animal!val!0)) & (X0 = animal!val!3) & (~(X0 = animal!val!4)) & (~(X0 = animal!val!0))) | ((~(X1 = animal!val!1)) & (~(X1 = animal!val!3)) & (~(X1 = animal!val!4)) & (~(X1 = animal!val!0)) & (X0 = animal!val!0)) | ((X1 = animal!val!1) & (~(X1 = animal!val!3)) & (~(X1 = animal!val!4)) & (~(X1 = animal!val!0)) & (X0 = animal!val!0)) | ((X1 = animal!val!0) & (X0 = animal!val!4) & (~(X0 = animal!val!0)))))).
% 0.19/0.41  tff(formula6, axiom,
% 0.19/0.41      plant_to_edible(plant!val!2) = edible!val!5).
% 0.19/0.41  tff(formula7, axiom,
% 0.19/0.41      ![X0: plant] : ((~((plant!val!2 = X0))) => (plant_to_edible(X0) = ite_t(((~(X0 = plant!val!0)) & (~(X0 = plant!val!2))), edible!val!2, ite_t(((X0 = plant!val!0) & (~(X0 = plant!val!2))), edible!val!1, edible!val!8))))).
% 0.19/0.41  tff(formula8, axiom,
% 0.19/0.41      ![X0: wolf] : (wolf_to_animal(X0) = animal!val!3)).
% 0.19/0.41  tff(formula9, axiom,
% 0.19/0.41      ![X0: snail] : (snail_to_animal(X0) = animal!val!2)).
% 0.19/0.41  tff(formula10, axiom,
% 0.19/0.41      ![X0: fox] : (fox_to_animal(X0) = animal!val!4)).
% 0.19/0.41  tff(formula11, axiom,
% 0.19/0.41      ![X0: caterpillar] : (caterpillar_to_animal(X0) = animal!val!1)).
% 0.19/0.41  tff(formula12, axiom,
% 0.19/0.41      ![X0: grain] : (grain_to_plant(X0) = plant!val!2)).
% 0.19/0.41  % SZS output end Model
% 0.19/0.41  % E exiting
%------------------------------------------------------------------------------