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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : NLP067-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n006.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 05:17:52 AM UTC 2025

% Result   : Satisfiable 0.19s 0.54s
% Output   : Model 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NLP067-1 : TPTP v9.0.0. Released v2.4.0.
% 0.12/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n006.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 23:43:20 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.19/0.54  % SZS status Satisfiable
% 0.19/0.54  % SZS output start Model
% 0.19/0.54  tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.54     tptp_fun__i_val_1: $i)).
% 0.19/0.54  tff(skc4_type, type, (
% 0.19/0.54     skc4: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.54     tptp_fun__i_val_3: $i)).
% 0.19/0.54  tff(skc5_type, type, (
% 0.19/0.54     skc5: $i)).
% 0.19/0.54  tff(ssSkC0_type, type, (
% 0.19/0.54     ssSkC0: $o)).
% 0.19/0.54  tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.54     tptp_fun__i_val_2: $i)).
% 0.19/0.54  tff(skc47_type, type, (
% 0.19/0.54     skc47: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.54     tptp_fun__i_val_0: $i)).
% 0.19/0.54  tff(skc46_type, type, (
% 0.19/0.54     skc46: $i)).
% 0.19/0.54  tff(actual_world_type, type, (
% 0.19/0.54     actual_world: $i > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.54     tptp_fun__i_val_5: $i)).
% 0.19/0.54  tff(fire_type, type, (
% 0.19/0.54     fire: ( $i * $i ) > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.54     tptp_fun__i_val_11: $i)).
% 0.19/0.54  tff(skf19_type, type, (
% 0.19/0.54     skf19: ( $i * $i ) > $i)).
% 0.19/0.54  tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.54     tptp_fun__i_val_9: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.54     tptp_fun__i_val_10: $i)).
% 0.19/0.54  tff(group_type, type, (
% 0.19/0.54     group: ( $i * $i ) > $o)).
% 0.19/0.54  tff(six_type, type, (
% 0.19/0.54     six: ( $i * $i ) > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_13_type, type, (
% 0.19/0.54     tptp_fun__i_val_13: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.54     tptp_fun__i_val_7: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.54     tptp_fun__i_val_4: $i)).
% 0.19/0.54  tff(member_type, type, (
% 0.19/0.54     member: ( $i * $i * $i ) > $o)).
% 0.19/0.54  tff(male_type, type, (
% 0.19/0.54     male: ( $i * $i ) > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.54     tptp_fun__i_val_6: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.54     tptp_fun__i_val_8: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_18_type, type, (
% 0.19/0.54     tptp_fun__i_val_18: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_19_type, type, (
% 0.19/0.54     tptp_fun__i_val_19: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_14_type, type, (
% 0.19/0.54     tptp_fun__i_val_14: $i)).
% 0.19/0.54  tff(agent_type, type, (
% 0.19/0.54     agent: ( $i * $i * $i ) > $o)).
% 0.19/0.54  tff(cannon_type, type, (
% 0.19/0.54     cannon: ( $i * $i ) > $o)).
% 0.19/0.54  tff(nonreflexive_type, type, (
% 0.19/0.54     nonreflexive: ( $i * $i ) > $o)).
% 0.19/0.54  tff(patient_type, type, (
% 0.19/0.54     patient: ( $i * $i * $i ) > $o)).
% 0.19/0.54  tff(event_type, type, (
% 0.19/0.54     event: ( $i * $i ) > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_12_type, type, (
% 0.19/0.54     tptp_fun__i_val_12: $i)).
% 0.19/0.54  tff(tptp_fun__i_val_16_type, type, (
% 0.19/0.54     tptp_fun__i_val_16: $i)).
% 0.19/0.54  tff(skf14_type, type, (
% 0.19/0.54     skf14: ( $i * $i ) > $i)).
% 0.19/0.54  tff(from_loc_type, type, (
% 0.19/0.54     from_loc: ( $i * $i * $i ) > $o)).
% 0.19/0.54  tff(present_type, type, (
% 0.19/0.54     present: ( $i * $i ) > $o)).
% 0.19/0.54  tff(tptp_fun__i_val_17_type, type, (
% 0.19/0.54     tptp_fun__i_val_17: $i)).
% 0.19/0.54  tff(skf15_type, type, (
% 0.19/0.54     skf15: ( $i * $i ) > $i)).
% 0.19/0.54  tff(shot_type, type, (
% 0.19/0.54     shot: ( $i * $i ) > $o)).
% 0.19/0.54  tff(skf9_type, type, (
% 0.19/0.54     skf9: ( $i * $i ) > $i)).
% 0.19/0.54  tff(skf10_type, type, (
% 0.19/0.54     skf10: ( $i * $i * $i ) > $i)).
% 0.19/0.54  tff(ssSkP0_type, type, (
% 0.19/0.54     ssSkP0: ( $i * $i ) > $o)).
% 0.19/0.54  tff(man_type, type, (
% 0.19/0.54     man: ( $i * $i ) > $o)).
% 0.19/0.54  tff(of_type, type, (
% 0.19/0.54     of: ( $i * $i * $i ) > $o)).
% 0.19/0.54  tff(skf21_type, type, (
% 0.19/0.54     skf21: ( $i * $i ) > $i)).
% 0.19/0.54  tff(tptp_fun__i_val_15_type, type, (
% 0.19/0.54     tptp_fun__i_val_15: $i)).
% 0.19/0.54  tff(skf12_type, type, (
% 0.19/0.54     skf12: ( $i * $i ) > $i)).
% 0.19/0.54  tff(skf16_type, type, (
% 0.19/0.54     skf16: ( $i * $i ) > $i)).
% 0.19/0.54  tff(ssSkP1_type, type, (
% 0.19/0.54     ssSkP1: ( $i * $i ) > $o)).
% 0.19/0.54  tff(formula1, axiom,
% 0.19/0.54      skc4 = $i!val!1).
% 0.19/0.54  tff(formula2, axiom,
% 0.19/0.54      skc5 = $i!val!3).
% 0.19/0.54  tff(formula3, axiom,
% 0.19/0.54      ssSkC0 <=> $false).
% 0.19/0.54  tff(formula4, axiom,
% 0.19/0.54      skc47 = $i!val!2).
% 0.19/0.54  tff(formula5, axiom,
% 0.19/0.54      skc46 = $i!val!0).
% 0.19/0.54  tff(formula6, axiom,
% 0.19/0.54      ![X0: $i] : (actual_world(X0) <=> $true)).
% 0.19/0.54  tff(formula7, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (fire(X0, X1) <=> (~((~(X1 = $i!val!0)) & (X0 = $i!val!5))))).
% 0.19/0.54  tff(formula8, axiom,
% 0.19/0.54      skf19($i!val!0, $i!val!2) = $i!val!11).
% 0.19/0.54  tff(formula9, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!2 = X1))) => (skf19(X0, X1) = ite_t(((~(X1 = $i!val!0)) & (X0 = $i!val!2)), $i!val!10, $i!val!9)))).
% 0.19/0.54  tff(formula10, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (group(X0, X1) <=> (~((~(X1 = $i!val!0)) & (X0 = $i!val!2))))).
% 0.19/0.54  tff(formula11, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (six(X0, X1) <=> (~((X1 = $i!val!0) & (~(X0 = $i!val!2)))))).
% 0.19/0.54  tff(formula12, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (((~(X2 = $i!val!0)) & (X1 = $i!val!13) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (X1 = $i!val!4) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (X0 = $i!val!2)) | ((~(X2 = $i!val!0)) & (X1 = $i!val!9) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X0 = $i!val!2)))))).
% 0.19/0.54  tff(formula13, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (male(X0, X1) <=> $true)).
% 0.19/0.54  tff(formula14, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((X2 = $i!val!0) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!5)) & (X0 = $i!val!19) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6))) | ((X2 = $i!val!0) & (X1 = $i!val!5) & (X0 = $i!val!18) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)))))).
% 0.19/0.54  tff(formula15, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (cannon(X0, X1) <=> (~((X1 = $i!val!0) & (X0 = $i!val!11) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!13)))))).
% 0.19/0.54  tff(formula16, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> (((X1 = $i!val!0) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!0) & (X0 = $i!val!5))))).
% 0.19/0.54  tff(formula17, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> $true)).
% 0.19/0.54  tff(formula18, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (event(X0, X1) <=> (~((~(X1 = $i!val!0)) & (X0 = $i!val!14) & (~(X0 = $i!val!5)))))).
% 0.19/0.54  tff(formula19, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf14(X0, X1) = ite_t(((~(X1 = $i!val!0)) & (~(X0 = $i!val!2))), $i!val!16, ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!2))), $i!val!12, ite_t(((X1 = $i!val!0) & (X0 = $i!val!2)), $i!val!8, $i!val!6))))).
% 0.19/0.54  tff(formula20, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (from_loc(X0, X1, X2) <=> ((X2 = $i!val!0) & (X1 = $i!val!5) & (X0 = $i!val!4) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!13))))).
% 0.19/0.54  tff(formula21, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (present(X0, X1) <=> $true)).
% 0.19/0.54  tff(formula22, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf15(X0, X1) = ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!13))), $i!val!17, ite_t(((~(X1 = $i!val!0)) & (X0 = $i!val!13)), $i!val!14, $i!val!5)))).
% 0.19/0.54  tff(formula23, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (shot(X0, X1) <=> $true)).
% 0.19/0.54  tff(formula24, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf9(X0, X1) = $i!val!10)).
% 0.19/0.54  tff(formula25, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (skf10(X0, X1, X2) = $i!val!10)).
% 0.19/0.54  tff(formula26, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (ssSkP0(X0, X1) <=> (((~(X1 = $i!val!2)) & (X0 = $i!val!0)) | ((X1 = $i!val!2) & (~(X0 = $i!val!0)))))).
% 0.19/0.54  tff(formula27, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (man(X0, X1) <=> (~((~(X1 = $i!val!0)) & (X0 = $i!val!19) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!6)))))).
% 0.19/0.54  tff(formula28, axiom,
% 0.19/0.54      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> $true)).
% 0.19/0.54  tff(formula29, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf21(X0, X1) = $i!val!5)).
% 0.19/0.54  tff(formula30, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf12(X0, X1) = ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!2))), $i!val!15, ite_t(((~(X1 = $i!val!0)) & (~(X0 = $i!val!2))), $i!val!13, ite_t(((~(X1 = $i!val!0)) & (X0 = $i!val!2)), $i!val!7, $i!val!4))))).
% 0.19/0.54  tff(formula31, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (skf16(X0, X1) = ite_t(((X1 = $i!val!0) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!13))), $i!val!19, $i!val!18))).
% 0.19/0.54  tff(formula32, axiom,
% 0.19/0.54      ![X0: $i, X1: $i] : (ssSkP1(X0, X1) <=> (~((~(X1 = $i!val!2)) & (~(X0 = $i!val!0)))))).
% 0.19/0.54  % SZS output end Model
% 0.19/0.54  % E exiting
%------------------------------------------------------------------------------