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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : NLP059-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n014.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 05:17:50 AM UTC 2025

% Result   : Satisfiable 0.47s 0.67s
% Output   : Model 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NLP059-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n014.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   : Thu Jun 19 23:43:09 EDT 2025
% 0.12/0.33  % CPUTime    : 
% 0.47/0.67  % SZS status Satisfiable
% 0.47/0.67  % SZS output start Model
% 0.47/0.67  tff(tptp_fun__i_val_4_type, type, (
% 0.47/0.67     tptp_fun__i_val_4: $i)).
% 0.47/0.67  tff(skc7_type, type, (
% 0.47/0.67     skc7: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_5_type, type, (
% 0.47/0.67     tptp_fun__i_val_5: $i)).
% 0.47/0.67  tff(skc8_type, type, (
% 0.47/0.67     skc8: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_1_type, type, (
% 0.47/0.67     tptp_fun__i_val_1: $i)).
% 0.47/0.67  tff(skc6_type, type, (
% 0.47/0.67     skc6: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_3_type, type, (
% 0.47/0.67     tptp_fun__i_val_3: $i)).
% 0.47/0.67  tff(skc52_type, type, (
% 0.47/0.67     skc52: $i)).
% 0.47/0.67  tff(ssSkC0_type, type, (
% 0.47/0.67     ssSkC0: $o)).
% 0.47/0.67  tff(tptp_fun__i_val_2_type, type, (
% 0.47/0.67     tptp_fun__i_val_2: $i)).
% 0.47/0.67  tff(skc51_type, type, (
% 0.47/0.67     skc51: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_0_type, type, (
% 0.47/0.67     tptp_fun__i_val_0: $i)).
% 0.47/0.67  tff(skc50_type, type, (
% 0.47/0.67     skc50: $i)).
% 0.47/0.67  tff(actual_world_type, type, (
% 0.47/0.67     actual_world: $i > $o)).
% 0.47/0.67  tff(fire_type, type, (
% 0.47/0.67     fire: ( $i * $i ) > $o)).
% 0.47/0.67  tff(six_type, type, (
% 0.47/0.67     six: ( $i * $i ) > $o)).
% 0.47/0.67  tff(group_type, type, (
% 0.47/0.67     group: ( $i * $i ) > $o)).
% 0.47/0.67  tff(tptp_fun__i_val_23_type, type, (
% 0.47/0.67     tptp_fun__i_val_23: $i)).
% 0.47/0.67  tff(k!1522_type, type, (
% 0.47/0.67     k!1522: $i > $i)).
% 0.47/0.67  tff(tptp_fun__i_val_24_type, type, (
% 0.47/0.67     tptp_fun__i_val_24: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_13_type, type, (
% 0.47/0.67     tptp_fun__i_val_13: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_18_type, type, (
% 0.47/0.67     tptp_fun__i_val_18: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_14_type, type, (
% 0.47/0.67     tptp_fun__i_val_14: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_6_type, type, (
% 0.47/0.67     tptp_fun__i_val_6: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_20_type, type, (
% 0.47/0.67     tptp_fun__i_val_20: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_21_type, type, (
% 0.47/0.67     tptp_fun__i_val_21: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_12_type, type, (
% 0.47/0.67     tptp_fun__i_val_12: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_22_type, type, (
% 0.47/0.67     tptp_fun__i_val_22: $i)).
% 0.47/0.67  tff(member_type, type, (
% 0.47/0.67     member: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(male_type, type, (
% 0.47/0.67     male: ( $i * $i ) > $o)).
% 0.47/0.67  tff(ssSkP0_type, type, (
% 0.47/0.67     ssSkP0: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(cannon_type, type, (
% 0.47/0.67     cannon: ( $i * $i ) > $o)).
% 0.47/0.67  tff(agent_type, type, (
% 0.47/0.67     agent: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(nonreflexive_type, type, (
% 0.47/0.67     nonreflexive: ( $i * $i ) > $o)).
% 0.47/0.67  tff(patient_type, type, (
% 0.47/0.67     patient: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(event_type, type, (
% 0.47/0.67     event: ( $i * $i ) > $o)).
% 0.47/0.67  tff(tptp_fun__i_val_8_type, type, (
% 0.47/0.67     tptp_fun__i_val_8: $i)).
% 0.47/0.67  tff(skf12_type, type, (
% 0.47/0.67     skf12: ( $i * $i * $i ) > $i)).
% 0.47/0.67  tff(from_loc_type, type, (
% 0.47/0.67     from_loc: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(ssSkP1_type, type, (
% 0.47/0.67     ssSkP1: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(present_type, type, (
% 0.47/0.67     present: ( $i * $i ) > $o)).
% 0.47/0.67  tff(tptp_fun__i_val_7_type, type, (
% 0.47/0.67     tptp_fun__i_val_7: $i)).
% 0.47/0.67  tff(skf15_type, type, (
% 0.47/0.67     skf15: ( $i * $i ) > $i)).
% 0.47/0.67  tff(tptp_fun__i_val_10_type, type, (
% 0.47/0.67     tptp_fun__i_val_10: $i)).
% 0.47/0.67  tff(shot_type, type, (
% 0.47/0.67     shot: ( $i * $i ) > $o)).
% 0.47/0.67  tff(tptp_fun__i_val_9_type, type, (
% 0.47/0.67     tptp_fun__i_val_9: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_15_type, type, (
% 0.47/0.67     tptp_fun__i_val_15: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_16_type, type, (
% 0.47/0.67     tptp_fun__i_val_16: $i)).
% 0.47/0.67  tff(tptp_fun__i_val_17_type, type, (
% 0.47/0.67     tptp_fun__i_val_17: $i)).
% 0.47/0.67  tff(skf14_type, type, (
% 0.47/0.67     skf14: ( $i * $i * $i ) > $i)).
% 0.47/0.67  tff(tptp_fun__i_val_19_type, type, (
% 0.47/0.67     tptp_fun__i_val_19: $i)).
% 0.47/0.67  tff(skf19_type, type, (
% 0.47/0.67     skf19: ( $i * $i * $i ) > $i)).
% 0.47/0.67  tff(tptp_fun__i_val_11_type, type, (
% 0.47/0.67     tptp_fun__i_val_11: $i)).
% 0.47/0.67  tff(skf9_type, type, (
% 0.47/0.67     skf9: ( $i * $i ) > $i)).
% 0.47/0.67  tff(skf10_type, type, (
% 0.47/0.67     skf10: ( $i * $i * $i ) > $i)).
% 0.47/0.67  tff(man_type, type, (
% 0.47/0.67     man: ( $i * $i ) > $o)).
% 0.47/0.67  tff(of_type, type, (
% 0.47/0.67     of: ( $i * $i * $i ) > $o)).
% 0.47/0.67  tff(skf21_type, type, (
% 0.47/0.67     skf21: ( $i * $i ) > $i)).
% 0.47/0.67  tff(skf16_type, type, (
% 0.47/0.67     skf16: ( $i * $i ) > $i)).
% 0.47/0.67  tff(formula1, axiom,
% 0.47/0.67      skc7 = $i!val!4).
% 0.47/0.67  tff(formula2, axiom,
% 0.47/0.67      skc8 = $i!val!5).
% 0.47/0.67  tff(formula3, axiom,
% 0.47/0.67      skc6 = $i!val!1).
% 0.47/0.67  tff(formula4, axiom,
% 0.47/0.67      skc52 = $i!val!3).
% 0.47/0.67  tff(formula5, axiom,
% 0.47/0.67      ssSkC0 <=> $true).
% 0.47/0.67  tff(formula6, axiom,
% 0.47/0.67      skc51 = $i!val!2).
% 0.47/0.67  tff(formula7, axiom,
% 0.47/0.67      skc50 = $i!val!0).
% 0.47/0.67  tff(formula8, axiom,
% 0.47/0.67      ![X0: $i] : (actual_world(X0) <=> $true)).
% 0.47/0.67  tff(formula9, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (fire(X0, X1) <=> $false)).
% 0.47/0.67  tff(formula10, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (six(X0, X1) <=> $true)).
% 0.47/0.67  tff(formula11, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (group(X0, X1) <=> (~((~(X1 = $i!val!0)) & (X0 = $i!val!2))))).
% 0.47/0.67  tff(formula12, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (((X2 = $i!val!0) & (k!1522(X1) = $i!val!22) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!12) & (X0 = $i!val!2)) | ((~(X2 = $i!val!0)) & (k!1522(X1) = $i!val!21) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!20) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!6) & (X0 = $i!val!2)) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!14) & (X0 = $i!val!2)) | ((~(X2 = $i!val!0)) & (k!1522(X1) = $i!val!18) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!13) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!24) & (X0 = $i!val!2)) | ((X2 = $i!val!0) & (k!1522(X1) = $i!val!23) & (~(X0 = $i!val!2)))))).
% 0.47/0.67  tff(formula13, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (male(X0, X1) <=> ((~(X1 = $i!val!0)) & (~(X0 = $i!val!3))))).
% 0.47/0.67  tff(formula14, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (ssSkP0(X0, X1, X2) <=> (((~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X0 = $i!val!0))) | ((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X0 = $i!val!0))) | ((~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!0)))))).
% 0.47/0.67  tff(formula15, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (cannon(X0, X1) <=> (~((~(X1 = $i!val!0)) & (k!1522(X0) = $i!val!24))))).
% 0.47/0.67  tff(formula16, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> $false)).
% 0.47/0.67  tff(formula17, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> $false)).
% 0.47/0.67  tff(formula18, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> $true)).
% 0.47/0.67  tff(formula19, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (event(X0, X1) <=> $false)).
% 0.47/0.67  tff(formula20, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (skf12(X0, X1, X2) = ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!3)) & (X0 = $i!val!2)), $i!val!24, ite_t(((X2 = $i!val!0) & (X1 = $i!val!3) & (~(X0 = $i!val!2))), $i!val!23, ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!2))), $i!val!13, ite_t(((~(X2 = $i!val!0)) & (X1 = $i!val!3) & (X0 = $i!val!2)), $i!val!8, $i!val!6)))))).
% 0.47/0.67  tff(formula21, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (from_loc(X0, X1, X2) <=> $true)).
% 0.47/0.67  tff(formula22, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (ssSkP1(X0, X1, X2) <=> (((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X0 = $i!val!0)))))).
% 0.47/0.67  tff(formula23, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (present(X0, X1) <=> $false)).
% 0.47/0.67  tff(formula24, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (skf15(X0, X1) = $i!val!7)).
% 0.47/0.67  tff(formula25, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (shot(X0, X1) <=> (~((~(X1 = $i!val!0)) & (k!1522(X0) = $i!val!10))))).
% 0.47/0.67  tff(formula26, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (skf14(X0, X1, X2) = ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3)), $i!val!17, ite_t(((X2 = $i!val!0) & (X1 = $i!val!2) & (~(X0 = $i!val!3))), $i!val!16, ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3))), $i!val!15, $i!val!9))))).
% 0.47/0.67  tff(formula27, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (skf19(X0, X1, X2) = ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3)), $i!val!22, ite_t(((~(X2 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3)), $i!val!21, ite_t(((X2 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3))), $i!val!20, ite_t(((~(X2 = $i!val!0)) & (X1 = $i!val!2) & (~(X0 = $i!val!3))), $i!val!19, ite_t(((~(X2 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3))), $i!val!18, ite_t(((X2 = $i!val!0) & (X1 = $i!val!2) & (X0 = $i!val!3)), $i!val!14, $i!val!12)))))))).
% 0.47/0.67  tff(formula28, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (skf9(X0, X1) = ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!2))), $i!val!11, $i!val!10))).
% 0.47/0.67  tff(formula29, axiom,
% 0.47/0.67      k!1522($i!val!24) = $i!val!24).
% 0.47/0.67  tff(formula30, axiom,
% 0.47/0.67      k!1522($i!val!10) = $i!val!10).
% 0.47/0.67  tff(formula31, axiom,
% 0.47/0.67      k!1522($i!val!8) = $i!val!8).
% 0.47/0.67  tff(formula32, axiom,
% 0.47/0.67      k!1522($i!val!19) = $i!val!19).
% 0.47/0.67  tff(formula33, axiom,
% 0.47/0.67      k!1522($i!val!11) = $i!val!11).
% 0.47/0.67  tff(formula34, axiom,
% 0.47/0.67      k!1522($i!val!20) = $i!val!20).
% 0.47/0.67  tff(formula35, axiom,
% 0.47/0.67      k!1522($i!val!23) = $i!val!23).
% 0.47/0.67  tff(formula36, axiom,
% 0.47/0.67      k!1522($i!val!21) = $i!val!21).
% 0.47/0.67  tff(formula37, axiom,
% 0.47/0.67      k!1522($i!val!6) = $i!val!6).
% 0.47/0.67  tff(formula38, axiom,
% 0.47/0.67      k!1522($i!val!12) = $i!val!12).
% 0.47/0.67  tff(formula39, axiom,
% 0.47/0.67      k!1522($i!val!13) = $i!val!13).
% 0.47/0.67  tff(formula40, axiom,
% 0.47/0.67      k!1522($i!val!22) = $i!val!22).
% 0.47/0.67  tff(formula41, axiom,
% 0.47/0.67      k!1522($i!val!18) = $i!val!18).
% 0.47/0.67  tff(formula42, axiom,
% 0.47/0.67      ![X0: $i] : ((~((($i!val!24 = X0)) | (($i!val!10 = X0)) | (($i!val!8 = X0)) | (($i!val!19 = X0)) | (($i!val!11 = X0)) | (($i!val!20 = X0)) | (($i!val!23 = X0)) | (($i!val!21 = X0)) | (($i!val!6 = X0)) | (($i!val!12 = X0)) | (($i!val!13 = X0)) | (($i!val!22 = X0)) | (($i!val!18 = X0)))) => (k!1522(X0) = $i!val!14))).
% 0.47/0.67  tff(formula43, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (skf10(X0, X1, X2) = $i!val!13)).
% 0.47/0.67  tff(formula44, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (man(X0, X1) <=> (((X1 = $i!val!0) & (X0 = $i!val!16) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!7))) | ((X1 = $i!val!0) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!7))) | ((X1 = $i!val!0) & (X0 = $i!val!9) & (~(X0 = $i!val!7))) | ((X1 = $i!val!0) & (X0 = $i!val!17) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!7)))))).
% 0.47/0.67  tff(formula45, axiom,
% 0.47/0.67      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> ((~((~(X2 = $i!val!0)) & (k!1522(X1) = $i!val!22) & (X0 = $i!val!3))) & (~((X2 = $i!val!0) & (k!1522(X1) = $i!val!13) & (X0 = $i!val!3)))))).
% 0.47/0.67  tff(formula46, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (skf21(X0, X1) = $i!val!0)).
% 0.47/0.67  tff(formula47, axiom,
% 0.47/0.67      ![X0: $i, X1: $i] : (skf16(X0, X1) = $i!val!0)).
% 0.47/0.67  % SZS output end Model
% 0.47/0.68  % E exiting
%------------------------------------------------------------------------------