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Z3---4.15.1.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : COM002_20 : TPTP v9.0.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n004.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 05:00:55 AM UTC 2025

% Result   : Satisfiable 0.13s 0.39s
% Output   : Model 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : COM002_20 : TPTP v9.0.0. Released v8.2.0.
% 0.08/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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   : Thu Jun 19 12:20:08 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 0.13/0.39  % SZS status Satisfiable
% 0.13/0.39  % SZS output start Model
% 0.13/0.39  tff(register_val_0_type, type, (
% 0.13/0.39     register_val_0: register)).
% 0.13/0.39  tff(register_j_type, type, (
% 0.13/0.39     register_j: register)).
% 0.13/0.39  tff(state_val_4_type, type, (
% 0.13/0.39     state_val_4: state)).
% 0.13/0.39  tff(p5_type, type, (
% 0.13/0.39     p5: state)).
% 0.13/0.39  tff(state_val_3_type, type, (
% 0.13/0.39     state_val_3: state)).
% 0.13/0.39  tff(p4_type, type, (
% 0.13/0.39     p4: state)).
% 0.13/0.39  tff(state_val_5_type, type, (
% 0.13/0.39     state_val_5: state)).
% 0.13/0.39  tff(p6_type, type, (
% 0.13/0.39     p6: state)).
% 0.13/0.39  tff(state_val_1_type, type, (
% 0.13/0.39     state_val_1: state)).
% 0.13/0.39  tff(p2_type, type, (
% 0.13/0.39     p2: state)).
% 0.13/0.39  tff(state_val_7_type, type, (
% 0.13/0.39     state_val_7: state)).
% 0.13/0.39  tff(p8_type, type, (
% 0.13/0.39     p8: state)).
% 0.13/0.39  tff(label_val_0_type, type, (
% 0.13/0.39     label_val_0: label)).
% 0.13/0.39  tff(loop_type, type, (
% 0.13/0.39     loop: label)).
% 0.13/0.39  tff(register_val_1_type, type, (
% 0.13/0.39     register_val_1: register)).
% 0.13/0.39  tff(register_k_type, type, (
% 0.13/0.39     register_k: register)).
% 0.13/0.39  tff(label_val_1_type, type, (
% 0.13/0.39     label_val_1: label)).
% 0.13/0.39  tff(out_type, type, (
% 0.13/0.39     out: label)).
% 0.13/0.39  tff(number_val_1_type, type, (
% 0.13/0.39     number_val_1: number)).
% 0.13/0.39  tff(n1_type, type, (
% 0.13/0.39     n1: number)).
% 0.13/0.39  tff(number_val_2_type, type, (
% 0.13/0.39     number_val_2: number)).
% 0.13/0.39  tff(n_type, type, (
% 0.13/0.39     n: number)).
% 0.13/0.39  tff(state_val_2_type, type, (
% 0.13/0.39     state_val_2: state)).
% 0.13/0.39  tff(p3_type, type, (
% 0.13/0.39     p3: state)).
% 0.13/0.39  tff(state_val_6_type, type, (
% 0.13/0.39     state_val_6: state)).
% 0.13/0.39  tff(p7_type, type, (
% 0.13/0.39     p7: state)).
% 0.13/0.39  tff(number_val_0_type, type, (
% 0.13/0.39     number_val_0: number)).
% 0.13/0.39  tff(n0_type, type, (
% 0.13/0.39     n0: number)).
% 0.13/0.39  tff(state_val_0_type, type, (
% 0.13/0.39     state_val_0: state)).
% 0.13/0.39  tff(p1_type, type, (
% 0.13/0.39     p1: state)).
% 0.13/0.39  tff(number_val_3_type, type, (
% 0.13/0.39     number_val_3: number)).
% 0.13/0.39  tff(n2_type, type, (
% 0.13/0.39     n2: number)).
% 0.13/0.39  tff(fails_type, type, (
% 0.13/0.39     fails: ( state * state ) > $o)).
% 0.13/0.39  tff(statement_val_1_type, type, (
% 0.13/0.39     statement_val_1: statement)).
% 0.13/0.39  tff(assign_type, type, (
% 0.13/0.39     assign: ( register * number ) > statement)).
% 0.13/0.39  tff(statement_val_4_type, type, (
% 0.13/0.39     statement_val_4: statement)).
% 0.13/0.39  tff(number_val_4_type, type, (
% 0.13/0.39     number_val_4: number)).
% 0.13/0.39  tff(statement_val_5_type, type, (
% 0.13/0.39     statement_val_5: statement)).
% 0.13/0.39  tff(number_val_5_type, type, (
% 0.13/0.39     number_val_5: number)).
% 0.13/0.39  tff(statement_val_0_type, type, (
% 0.13/0.39     statement_val_0: statement)).
% 0.13/0.39  tff(has_type, type, (
% 0.13/0.39     has: ( state * statement ) > $o)).
% 0.13/0.39  tff(times_type, type, (
% 0.13/0.39     times: ( number * register ) > number)).
% 0.13/0.39  tff(statement_val_3_type, type, (
% 0.13/0.39     statement_val_3: statement)).
% 0.13/0.39  tff(goto_type, type, (
% 0.13/0.39     goto: label > statement)).
% 0.13/0.39  tff(statement_val_6_type, type, (
% 0.13/0.39     statement_val_6: statement)).
% 0.13/0.39  tff(statement_val_8_type, type, (
% 0.13/0.39     statement_val_8: statement)).
% 0.13/0.39  tff(statement_val_2_type, type, (
% 0.13/0.39     statement_val_2: statement)).
% 0.13/0.39  tff(ifthen_type, type, (
% 0.13/0.39     ifthen: ( boolean * state ) > statement)).
% 0.13/0.39  tff(labels_type, type, (
% 0.13/0.39     labels: ( label * state ) > $o)).
% 0.13/0.39  tff(plus_type, type, (
% 0.13/0.39     plus: ( register * number ) > number)).
% 0.13/0.39  tff(follows_type, type, (
% 0.13/0.39     follows: ( state * state ) > $o)).
% 0.13/0.39  tff(boolean_val_0_type, type, (
% 0.13/0.39     boolean_val_0: boolean)).
% 0.13/0.39  tff(equal_function_type, type, (
% 0.13/0.39     equal_function: ( register * number ) > boolean)).
% 0.13/0.39  tff(formula1, axiom,
% 0.13/0.39      register_j = register!val!0).
% 0.13/0.39  tff(formula2, axiom,
% 0.13/0.39      p5 = state!val!4).
% 0.13/0.39  tff(formula3, axiom,
% 0.13/0.39      p4 = state!val!3).
% 0.13/0.39  tff(formula4, axiom,
% 0.13/0.39      p6 = state!val!5).
% 0.13/0.39  tff(formula5, axiom,
% 0.13/0.39      p2 = state!val!1).
% 0.13/0.39  tff(formula6, axiom,
% 0.13/0.39      p8 = state!val!7).
% 0.13/0.39  tff(formula7, axiom,
% 0.13/0.39      loop = label!val!0).
% 0.13/0.39  tff(formula8, axiom,
% 0.13/0.39      register_k = register!val!1).
% 0.13/0.39  tff(formula9, axiom,
% 0.13/0.39      out = label!val!1).
% 0.13/0.39  tff(formula10, axiom,
% 0.13/0.39      n1 = number!val!1).
% 0.13/0.39  tff(formula11, axiom,
% 0.13/0.39      n = number!val!2).
% 0.13/0.39  tff(formula12, axiom,
% 0.13/0.39      p3 = state!val!2).
% 0.13/0.39  tff(formula13, axiom,
% 0.13/0.39      p7 = state!val!6).
% 0.13/0.39  tff(formula14, axiom,
% 0.13/0.39      n0 = number!val!0).
% 0.13/0.39  tff(formula15, axiom,
% 0.13/0.39      p1 = state!val!0).
% 0.13/0.39  tff(formula16, axiom,
% 0.13/0.39      n2 = number!val!3).
% 0.13/0.39  tff(formula17, axiom,
% 0.13/0.39      ![X0: state, X1: state] : (fails(X0, X1) <=> $false)).
% 0.13/0.39  tff(formula18, axiom,
% 0.13/0.39      assign(register!val!1, number!val!1) = statement!val!1).
% 0.13/0.39  tff(formula19, axiom,
% 0.13/0.39      assign(register!val!1, number!val!4) = statement!val!4).
% 0.13/0.39  tff(formula20, axiom,
% 0.13/0.39      assign(register!val!0, number!val!5) = statement!val!5).
% 0.13/0.39  tff(formula21, axiom,
% 0.13/0.39      ![X0: register, X1: number] : ((~(((register!val!1 = X0) & (number!val!1 = X1)) | ((register!val!1 = X0) & (number!val!4 = X1)) | ((register!val!0 = X0) & (number!val!5 = X1)))) => (assign(X0, X1) = statement!val!0))).
% 0.13/0.39  tff(formula22, axiom,
% 0.13/0.39      ![X0: state, X1: statement] : (has(X0, X1) <=> $true)).
% 0.13/0.39  tff(formula23, axiom,
% 0.13/0.39      ![X0: number, X1: register] : (times(X0, X1) = number!val!4)).
% 0.13/0.39  tff(formula24, axiom,
% 0.13/0.39      goto(label!val!1) = statement!val!3).
% 0.13/0.39  tff(formula25, axiom,
% 0.13/0.39      ![X0: label] : ((~((label!val!1 = X0))) => (goto(X0) = statement!val!6))).
% 0.13/0.39  tff(formula26, axiom,
% 0.13/0.39      ![X0: boolean, X1: state] : (ifthen(X0, X1) = ite_t(((X0 = state!val!3) & (~(X0 = state!val!5)) & (~(X0 = state!val!1)) & (~(X0 = state!val!0)) & (~(X0 = state!val!7))), statement!val!2, statement!val!8))).
% 0.13/0.39  tff(formula27, axiom,
% 0.13/0.39      ![X0: label, X1: state] : (labels(X0, X1) <=> $true)).
% 0.13/0.39  tff(formula28, axiom,
% 0.13/0.39      ![X0: register, X1: number] : (plus(X0, X1) = number!val!5)).
% 0.13/0.39  tff(formula29, axiom,
% 0.13/0.39      ![X0: state, X1: state] : (follows(X0, X1) <=> $true)).
% 0.13/0.39  tff(formula30, axiom,
% 0.13/0.39      ![X0: register, X1: number] : (equal_function(X0, X1) = boolean!val!0)).
% 0.13/0.39  % SZS output end Model
% 0.13/0.39  % E exiting
%------------------------------------------------------------------------------