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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : NLP072-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% 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 : Sat Jun 21 05:17:53 AM UTC 2025

% Result   : Satisfiable 0.48s 0.71s
% Output   : Model 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NLP072-1 : TPTP v9.0.0. Released v2.4.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Thu Jun 19 23:44:10 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.48/0.71  % SZS status Satisfiable
% 0.48/0.71  % SZS output start Model
% 0.48/0.71  tff(tptp_fun__i_val_1_type, type, (
% 0.48/0.71     tptp_fun__i_val_1: $i)).
% 0.48/0.71  tff(skc5_type, type, (
% 0.48/0.71     skc5: $i)).
% 0.48/0.71  tff(tptp_fun__i_val_2_type, type, (
% 0.48/0.71     tptp_fun__i_val_2: $i)).
% 0.48/0.71  tff(skc4_type, type, (
% 0.48/0.71     skc4: $i)).
% 0.48/0.71  tff(tptp_fun__i_val_0_type, type, (
% 0.48/0.71     tptp_fun__i_val_0: $i)).
% 0.48/0.71  tff(skc3_type, type, (
% 0.48/0.71     skc3: $i)).
% 0.48/0.71  tff(actual_world_type, type, (
% 0.48/0.71     actual_world: $i > $o)).
% 0.48/0.71  tff(fire_type, type, (
% 0.48/0.71     fire: ( $i * $i ) > $o)).
% 0.48/0.71  tff(k!529_type, type, (
% 0.48/0.71     k!529: $i > $i)).
% 0.48/0.71  tff(thing_type, type, (
% 0.48/0.71     thing: ( $i * $i ) > $o)).
% 0.48/0.71  tff(group_type, type, (
% 0.48/0.71     group: ( $i * $i ) > $o)).
% 0.48/0.71  tff(six_type, type, (
% 0.48/0.71     six: ( $i * $i ) > $o)).
% 0.48/0.71  tff(instrumentality_type, type, (
% 0.48/0.71     instrumentality: ( $i * $i ) > $o)).
% 0.48/0.71  tff(cannon_type, type, (
% 0.48/0.71     cannon: ( $i * $i ) > $o)).
% 0.48/0.71  tff(agent_type, type, (
% 0.48/0.71     agent: ( $i * $i * $i ) > $o)).
% 0.48/0.71  tff(living_type, type, (
% 0.48/0.71     living: ( $i * $i ) > $o)).
% 0.48/0.71  tff(nonreflexive_type, type, (
% 0.48/0.71     nonreflexive: ( $i * $i ) > $o)).
% 0.48/0.71  tff(patient_type, type, (
% 0.48/0.71     patient: ( $i * $i * $i ) > $o)).
% 0.48/0.71  tff(event_type, type, (
% 0.48/0.71     event: ( $i * $i ) > $o)).
% 0.48/0.71  tff(artifact_type, type, (
% 0.48/0.71     artifact: ( $i * $i ) > $o)).
% 0.48/0.71  tff(multiple_type, type, (
% 0.48/0.71     multiple: ( $i * $i ) > $o)).
% 0.48/0.71  tff(human_type, type, (
% 0.48/0.71     human: ( $i * $i ) > $o)).
% 0.48/0.71  tff(existent_type, type, (
% 0.48/0.71     existent: ( $i * $i ) > $o)).
% 0.48/0.71  tff(tptp_fun__i_val_5_type, type, (
% 0.48/0.71     tptp_fun__i_val_5: $i)).
% 0.48/0.71  tff(skf14_type, type, (
% 0.48/0.71     skf14: ( $i * $i ) > $i)).
% 0.48/0.71  tff(animate_type, type, (
% 0.48/0.71     animate: ( $i * $i ) > $o)).
% 0.48/0.71  tff(tptp_fun__i_val_4_type, type, (
% 0.48/0.71     tptp_fun__i_val_4: $i)).
% 0.48/0.71  tff(skf10_type, type, (
% 0.48/0.71     skf10: ( $i * $i ) > $i)).
% 0.48/0.71  tff(from_loc_type, type, (
% 0.48/0.71     from_loc: ( $i * $i * $i ) > $o)).
% 0.48/0.71  tff(shot_type, type, (
% 0.48/0.71     shot: ( $i * $i ) > $o)).
% 0.48/0.71  tff(organism_type, type, (
% 0.48/0.71     organism: ( $i * $i ) > $o)).
% 0.48/0.71  tff(eventuality_type, type, (
% 0.48/0.71     eventuality: ( $i * $i ) > $o)).
% 0.48/0.71  tff(man_type, type, (
% 0.48/0.71     man: ( $i * $i ) > $o)).
% 0.48/0.71  tff(set_type, type, (
% 0.48/0.71     set: ( $i * $i ) > $o)).
% 0.48/0.71  tff(tptp_fun__i_val_8_type, type, (
% 0.48/0.71     tptp_fun__i_val_8: $i)).
% 0.48/0.71  tff(skf20_type, type, (
% 0.48/0.71     skf20: ( $i * $i ) > $i)).
% 0.48/0.71  tff(tptp_fun__i_val_6_type, type, (
% 0.48/0.71     tptp_fun__i_val_6: $i)).
% 0.48/0.71  tff(skf16_type, type, (
% 0.48/0.71     skf16: ( $i * $i ) > $i)).
% 0.48/0.71  tff(impartial_type, type, (
% 0.48/0.71     impartial: ( $i * $i ) > $o)).
% 0.48/0.71  tff(tptp_fun__i_val_7_type, type, (
% 0.48/0.71     tptp_fun__i_val_7: $i)).
% 0.48/0.71  tff(tptp_fun__i_val_3_type, type, (
% 0.48/0.71     tptp_fun__i_val_3: $i)).
% 0.48/0.71  tff(member_type, type, (
% 0.48/0.71     member: ( $i * $i * $i ) > $o)).
% 0.48/0.71  tff(entity_type, type, (
% 0.48/0.71     entity: ( $i * $i ) > $o)).
% 0.48/0.71  tff(male_type, type, (
% 0.48/0.71     male: ( $i * $i ) > $o)).
% 0.48/0.71  tff(specific_type, type, (
% 0.48/0.71     specific: ( $i * $i ) > $o)).
% 0.48/0.71  tff(nonliving_type, type, (
% 0.48/0.71     nonliving: ( $i * $i ) > $o)).
% 0.48/0.71  tff(action_type, type, (
% 0.48/0.71     action: ( $i * $i ) > $o)).
% 0.48/0.71  tff(tptp_fun__i_val_9_type, type, (
% 0.48/0.71     tptp_fun__i_val_9: $i)).
% 0.48/0.71  tff(nonexistent_type, type, (
% 0.48/0.71     nonexistent: ( $i * $i ) > $o)).
% 0.48/0.71  tff(human_person_type, type, (
% 0.48/0.71     human_person: ( $i * $i ) > $o)).
% 0.48/0.71  tff(present_type, type, (
% 0.48/0.71     present: ( $i * $i ) > $o)).
% 0.48/0.71  tff(weapon_type, type, (
% 0.48/0.71     weapon: ( $i * $i ) > $o)).
% 0.48/0.71  tff(singleton_type, type, (
% 0.48/0.71     singleton: ( $i * $i ) > $o)).
% 0.48/0.71  tff(skf18_type, type, (
% 0.48/0.71     skf18: ( $i * $i ) > $i)).
% 0.48/0.71  tff(object_type, type, (
% 0.48/0.71     object: ( $i * $i ) > $o)).
% 0.48/0.71  tff(unisex_type, type, (
% 0.48/0.71     unisex: ( $i * $i ) > $o)).
% 0.48/0.71  tff(act_type, type, (
% 0.48/0.71     act: ( $i * $i ) > $o)).
% 0.48/0.71  tff(skf8_type, type, (
% 0.48/0.71     skf8: ( $i * $i * $i ) > $i)).
% 0.48/0.71  tff(of_type, type, (
% 0.48/0.71     of: ( $i * $i * $i ) > $o)).
% 0.48/0.71  tff(skf12_type, type, (
% 0.48/0.71     skf12: ( $i * $i ) > $i)).
% 0.48/0.71  tff(tptp_fun__i_val_10_type, type, (
% 0.48/0.71     tptp_fun__i_val_10: $i)).
% 0.48/0.71  tff(skf21_type, type, (
% 0.48/0.71     skf21: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 0.48/0.71  tff(weaponry_type, type, (
% 0.48/0.71     weaponry: ( $i * $i ) > $o)).
% 0.48/0.71  tff(formula1, axiom,
% 0.48/0.71      skc5 = $i!val!1).
% 0.48/0.71  tff(formula2, axiom,
% 0.48/0.71      skc4 = $i!val!2).
% 0.48/0.71  tff(formula3, axiom,
% 0.48/0.71      skc3 = $i!val!0).
% 0.48/0.71  tff(formula4, axiom,
% 0.48/0.71      ![X0: $i] : (actual_world(X0) <=> $true)).
% 0.48/0.71  tff(formula5, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (fire(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula6, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (thing(X0, X1) <=> (~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))))).
% 0.48/0.71  tff(formula7, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (group(X0, X1) <=> ((X1 = $i!val!0) & (k!529(X0) = $i!val!2)))).
% 0.48/0.71  tff(formula8, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (six(X0, X1) <=> ((X1 = $i!val!0) & (k!529(X0) = $i!val!2)))).
% 0.48/0.71  tff(formula9, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (instrumentality(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula10, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (cannon(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula11, axiom,
% 0.48/0.71      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> $false)).
% 0.48/0.71  tff(formula12, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (living(X0, X1) <=> $true)).
% 0.48/0.71  tff(formula13, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula14, axiom,
% 0.48/0.71      ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> $true)).
% 0.48/0.71  tff(formula15, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (event(X0, X1) <=> ((~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))))).
% 0.48/0.71  tff(formula16, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (artifact(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula17, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (multiple(X0, X1) <=> ((X1 = $i!val!0) & (k!529(X0) = $i!val!2)))).
% 0.48/0.71  tff(formula18, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (human(X0, X1) <=> $true)).
% 0.48/0.71  tff(formula19, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (existent(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula20, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (skf14(X0, X1) = $i!val!5)).
% 0.48/0.71  tff(formula21, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (animate(X0, X1) <=> $true)).
% 0.48/0.71  tff(formula22, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (skf10(X0, X1) = $i!val!4)).
% 0.48/0.71  tff(formula23, axiom,
% 0.48/0.71      ![X0: $i, X1: $i, X2: $i] : (from_loc(X0, X1, X2) <=> $false)).
% 0.48/0.71  tff(formula24, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (shot(X0, X1) <=> ((~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))))).
% 0.48/0.71  tff(formula25, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (organism(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula26, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (eventuality(X0, X1) <=> ((~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))))).
% 0.48/0.71  tff(formula27, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (man(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula28, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (set(X0, X1) <=> ((X1 = $i!val!0) & (k!529(X0) = $i!val!2)))).
% 0.48/0.71  tff(formula29, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (skf20(X0, X1) = $i!val!8)).
% 0.48/0.71  tff(formula30, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (skf16(X0, X1) = $i!val!6)).
% 0.48/0.71  tff(formula31, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (impartial(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula32, axiom,
% 0.48/0.71      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (((X2 = $i!val!0) & (k!529(X1) = $i!val!4) & (k!529(X0) = $i!val!2)) | ((X2 = $i!val!0) & (k!529(X1) = $i!val!3) & (k!529(X0) = $i!val!2)) | ((X2 = $i!val!0) & (k!529(X1) = $i!val!5) & (k!529(X0) = $i!val!2)) | ((X2 = $i!val!0) & (k!529(X1) = $i!val!6) & (k!529(X0) = $i!val!2)) | ((X2 = $i!val!0) & (k!529(X1) = $i!val!7) & (k!529(X0) = $i!val!2)) | ((X2 = $i!val!0) & (k!529(X1) = $i!val!8) & (k!529(X0) = $i!val!2))))).
% 0.48/0.71  tff(formula33, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (entity(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula34, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (male(X0, X1) <=> ((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))).
% 0.48/0.71  tff(formula35, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (specific(X0, X1) <=> $true)).
% 0.48/0.71  tff(formula36, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (nonliving(X0, X1) <=> $false)).
% 0.48/0.71  tff(formula37, axiom,
% 0.48/0.71      ![X0: $i, X1: $i] : (action(X0, X1) <=> ((~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))))).
% 0.48/0.71  tff(formula38, axiom,
% 0.48/0.71      k!529($i!val!6) = $i!val!6).
% 0.48/0.71  tff(formula39, axiom,
% 0.48/0.71      k!529($i!val!7) = $i!val!7).
% 0.48/0.71  tff(formula40, axiom,
% 0.48/0.71      k!529($i!val!3) = $i!val!3).
% 0.48/0.71  tff(formula41, axiom,
% 0.48/0.71      k!529($i!val!0) = $i!val!0).
% 0.48/0.71  tff(formula42, axiom,
% 0.48/0.71      k!529($i!val!5) = $i!val!5).
% 0.48/0.71  tff(formula43, axiom,
% 0.48/0.71      k!529($i!val!1) = $i!val!1).
% 0.48/0.71  tff(formula44, axiom,
% 0.48/0.71      k!529($i!val!4) = $i!val!4).
% 0.48/0.71  tff(formula45, axiom,
% 0.48/0.71      k!529($i!val!8) = $i!val!8).
% 0.48/0.71  tff(formula46, axiom,
% 0.48/0.71      k!529($i!val!9) = $i!val!9).
% 0.48/0.71  tff(formula47, axiom,
% 0.48/0.71      ![X0: $i] : ((~((($i!val!6 = X0)) | (($i!val!7 = X0)) | (($i!val!3 = X0)) | (($i!val!0 = X0)) | (($i!val!5 = X0)) | (($i!val!1 = X0)) | (($i!val!4 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)))) => (k!529(X0) = $i!val!2))).
% 0.56/0.72  tff(formula48, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (nonexistent(X0, X1) <=> $true)).
% 0.56/0.72  tff(formula49, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (human_person(X0, X1) <=> $false)).
% 0.56/0.72  tff(formula50, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (present(X0, X1) <=> $true)).
% 0.56/0.72  tff(formula51, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (weapon(X0, X1) <=> $false)).
% 0.56/0.72  tff(formula52, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (singleton(X0, X1) <=> (~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))))).
% 0.56/0.72  tff(formula53, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (skf18(X0, X1) = $i!val!7)).
% 0.56/0.72  tff(formula54, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (object(X0, X1) <=> $false)).
% 0.56/0.72  tff(formula55, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (unisex(X0, X1) <=> (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1))))).
% 0.56/0.72  tff(formula56, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (act(X0, X1) <=> ((~((X1 = $i!val!0) & (k!529(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!529(X0) = $i!val!1)))))).
% 0.56/0.72  tff(formula57, axiom,
% 0.56/0.72      ![X0: $i, X1: $i, X2: $i] : (skf8(X0, X1, X2) = $i!val!3)).
% 0.56/0.72  tff(formula58, axiom,
% 0.56/0.72      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> $true)).
% 0.56/0.72  tff(formula59, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (skf12(X0, X1) = $i!val!3)).
% 0.56/0.72  tff(formula60, axiom,
% 0.56/0.72      ![X0: $i, X1: $i, X2: $i, X3: $i, X4: $i, X5: $i, X6: $i, X7: $i] : (skf21(X0, X1, X2, X3, X4, X5, X6, X7) = ite_t(((k!529(X7) = $i!val!7) & (k!529(X6) = $i!val!6) & (k!529(X5) = $i!val!9) & (k!529(X4) = $i!val!3) & (k!529(X3) = $i!val!9) & (k!529(X2) = $i!val!3) & (k!529(X1) = $i!val!4) & (X0 = $i!val!2) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!0))), $i!val!10, $i!val!9))).
% 0.56/0.72  tff(formula61, axiom,
% 0.56/0.72      ![X0: $i, X1: $i] : (weaponry(X0, X1) <=> $false)).
% 0.56/0.72  % SZS output end Model
% 0.56/0.72  % E exiting
%------------------------------------------------------------------------------