TSTP Solution File: NLP067-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : NLP067-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% 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 : Sun Sep 18 08:47:12 EDT 2022

% Result   : Satisfiable 0.18s 0.42s
% Output   : Model 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP067-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Sep  2 04:06:49 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.18/0.42  % SZS status Satisfiable
% 0.18/0.42  % SZS output start Model
% 0.18/0.42  tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.42     tptp_fun__i_val_1: $i)).
% 0.18/0.42  tff(skc4_type, type, (
% 0.18/0.42     skc4: $i)).
% 0.18/0.42  tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.42     tptp_fun__i_val_2: $i)).
% 0.18/0.42  tff(skc47_type, type, (
% 0.18/0.42     skc47: $i)).
% 0.18/0.42  tff(ssSkC0_type, type, (
% 0.18/0.42     ssSkC0: $o)).
% 0.18/0.42  tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.42     tptp_fun__i_val_0: $i)).
% 0.18/0.42  tff(skc5_type, type, (
% 0.18/0.42     skc5: $i)).
% 0.18/0.42  tff(skc46_type, type, (
% 0.18/0.42     skc46: $i)).
% 0.18/0.42  tff(member_type, type, (
% 0.18/0.42     member: ( $i * $i * $i ) > $o)).
% 0.18/0.42  tff(skf10_type, type, (
% 0.18/0.42     skf10: ( $i * $i * $i ) > $i)).
% 0.18/0.42  tff(present_type, type, (
% 0.18/0.42     present: ( $i * $i ) > $o)).
% 0.18/0.42  tff(actual_world_type, type, (
% 0.18/0.42     actual_world: $i > $o)).
% 0.18/0.42  tff(cannon_type, type, (
% 0.18/0.42     cannon: ( $i * $i ) > $o)).
% 0.18/0.42  tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.42     tptp_fun__i_val_5: $i)).
% 0.18/0.42  tff(skf14_type, type, (
% 0.18/0.42     skf14: ( $i * $i ) > $i)).
% 0.18/0.42  tff(tptp_fun__i_val_6_type, type, (
% 0.18/0.42     tptp_fun__i_val_6: $i)).
% 0.18/0.42  tff(agent_type, type, (
% 0.18/0.42     agent: ( $i * $i * $i ) > $o)).
% 0.18/0.42  tff(of_type, type, (
% 0.18/0.42     of: ( $i * $i * $i ) > $o)).
% 0.18/0.42  tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.42     tptp_fun__i_val_4: $i)).
% 0.18/0.42  tff(skf15_type, type, (
% 0.18/0.42     skf15: ( $i * $i ) > $i)).
% 0.18/0.42  tff(group_type, type, (
% 0.18/0.42     group: ( $i * $i ) > $o)).
% 0.18/0.42  tff(six_type, type, (
% 0.18/0.42     six: ( $i * $i ) > $o)).
% 0.18/0.42  tff(skf19_type, type, (
% 0.18/0.42     skf19: ( $i * $i ) > $i)).
% 0.18/0.42  tff(ssSkP0_type, type, (
% 0.18/0.42     ssSkP0: ( $i * $i ) > $o)).
% 0.18/0.42  tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.42     tptp_fun__i_val_3: $i)).
% 0.18/0.42  tff(skf12_type, type, (
% 0.18/0.42     skf12: ( $i * $i ) > $i)).
% 0.18/0.42  tff(shot_type, type, (
% 0.18/0.42     shot: ( $i * $i ) > $o)).
% 0.18/0.42  tff(fire_type, type, (
% 0.18/0.42     fire: ( $i * $i ) > $o)).
% 0.18/0.42  tff(skf21_type, type, (
% 0.18/0.42     skf21: ( $i * $i ) > $i)).
% 0.18/0.42  tff(event_type, type, (
% 0.18/0.42     event: ( $i * $i ) > $o)).
% 0.18/0.42  tff(skf9_type, type, (
% 0.18/0.42     skf9: ( $i * $i ) > $i)).
% 0.18/0.42  tff(skf16_type, type, (
% 0.18/0.42     skf16: ( $i * $i ) > $i)).
% 0.18/0.42  tff(male_type, type, (
% 0.18/0.42     male: ( $i * $i ) > $o)).
% 0.18/0.42  tff(ssSkP1_type, type, (
% 0.18/0.42     ssSkP1: ( $i * $i ) > $o)).
% 0.18/0.42  tff(patient_type, type, (
% 0.18/0.42     patient: ( $i * $i * $i ) > $o)).
% 0.18/0.42  tff(nonreflexive_type, type, (
% 0.18/0.42     nonreflexive: ( $i * $i ) > $o)).
% 0.18/0.42  tff(man_type, type, (
% 0.18/0.42     man: ( $i * $i ) > $o)).
% 0.18/0.42  tff(from_loc_type, type, (
% 0.18/0.42     from_loc: ( $i * $i * $i ) > $o)).
% 0.18/0.42  tff(formula1, axiom,
% 0.18/0.42      skc4 = $i!val!1).
% 0.18/0.42  tff(formula2, axiom,
% 0.18/0.42      skc47 = $i!val!2).
% 0.18/0.42  tff(formula3, axiom,
% 0.18/0.42      ssSkC0 <=> $false).
% 0.18/0.42  tff(formula4, axiom,
% 0.18/0.42      skc5 = $i!val!0).
% 0.18/0.42  tff(formula5, axiom,
% 0.18/0.42      skc46 = $i!val!0).
% 0.18/0.42  tff(formula6, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> (ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula7, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (skf10(X0, X1, X2) = $i!val!0)).
% 0.18/0.42  tff(formula8, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (present(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula9, axiom,
% 0.18/0.42      ![X0: $i] : (actual_world(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) | (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1)))).
% 0.18/0.42  tff(formula10, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (cannon(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula11, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf14(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0), $i!val!5, $i!val!0))).
% 0.18/0.42  tff(formula12, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> ((ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!6) = $i!val!6)))).
% 0.18/0.42  tff(formula13, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula14, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf15(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0), $i!val!4, $i!val!0))).
% 0.18/0.42  tff(formula15, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (group(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula16, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (six(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula17, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf19(X0, X1) = $i!val!0)).
% 0.18/0.42  tff(formula18, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (ssSkP0(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1))).
% 0.18/0.42  tff(formula19, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf12(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0), $i!val!3, $i!val!0))).
% 0.18/0.42  tff(formula20, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (shot(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula21, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (fire(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula22, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf21(X0, X1) = $i!val!0)).
% 0.18/0.42  tff(formula23, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (event(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula24, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf9(X0, X1) = $i!val!0)).
% 0.18/0.42  tff(formula25, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (skf16(X0, X1) = ite_t((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0), $i!val!6, $i!val!0))).
% 0.18/0.42  tff(formula26, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (male(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula27, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (ssSkP1(X0, X1) <=> ((ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0)))).
% 0.18/0.42  tff(formula28, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> (ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula29, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> (ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  tff(formula30, axiom,
% 0.18/0.42      ![X0: $i, X1: $i] : (man(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!6) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!6) = $i!val!6))))).
% 0.18/0.42  tff(formula31, axiom,
% 0.18/0.42      ![X0: $i, X1: $i, X2: $i] : (from_loc(X0, X1, X2) <=> (ite_t((X2 = $i!val!1), $i!val!1, $i!val!0) = $i!val!0))).
% 0.18/0.42  % SZS output end Model
%------------------------------------------------------------------------------