TSTP Solution File: SYN059-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN059-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 : Thu Sep 29 23:53:26 EDT 2022

% Result   : Satisfiable 0.20s 0.40s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SYN059-1 : TPTP v8.1.0. Released v1.0.0.
% 0.01/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Sep  5 01:24:01 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.34  Usage: tptp [options] [-file:]file
% 0.20/0.34    -h, -?       prints this message.
% 0.20/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.20/0.34    -m, -model   generate model.
% 0.20/0.34    -p, -proof   generate proof.
% 0.20/0.34    -c, -core    generate unsat core of named formulas.
% 0.20/0.34    -st, -statistics display statistics.
% 0.20/0.34    -t:timeout   set timeout (in second).
% 0.20/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.20/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.34    -<param>:<value> configuration parameter and value.
% 0.20/0.34    -o:<output-file> file to place output in.
% 0.20/0.40  % SZS status Satisfiable
% 0.20/0.40  % SZS output start Model
% 0.20/0.40  tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.40     tptp_fun__i_val_4: $i)).
% 0.20/0.40  tff(f_type, type, (
% 0.20/0.40     f: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.40     tptp_fun__i_val_1: $i)).
% 0.20/0.40  tff(b_type, type, (
% 0.20/0.40     b: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.40     tptp_fun__i_val_0: $i)).
% 0.20/0.40  tff(a_type, type, (
% 0.20/0.40     a: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.40     tptp_fun__i_val_2: $i)).
% 0.20/0.40  tff(c_type, type, (
% 0.20/0.40     c: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.40     tptp_fun__i_val_3: $i)).
% 0.20/0.40  tff(e_type, type, (
% 0.20/0.40     e: $i)).
% 0.20/0.40  tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.40     tptp_fun__i_val_5: $i)).
% 0.20/0.40  tff(d_type, type, (
% 0.20/0.40     d: $i)).
% 0.20/0.40  tff(j_type, type, (
% 0.20/0.40     j: $i)).
% 0.20/0.40  tff(big_j_type, type, (
% 0.20/0.40     big_j: $i > $o)).
% 0.20/0.40  tff(big_f_type, type, (
% 0.20/0.40     big_f: $i > $o)).
% 0.20/0.40  tff(big_g_type, type, (
% 0.20/0.40     big_g: $i > $o)).
% 0.20/0.40  tff(big_h_type, type, (
% 0.20/0.40     big_h: $i > $o)).
% 0.20/0.40  tff(formula1, axiom,
% 0.20/0.40      f = $i!val!4).
% 0.20/0.40  tff(formula2, axiom,
% 0.20/0.40      b = $i!val!1).
% 0.20/0.40  tff(formula3, axiom,
% 0.20/0.40      a = $i!val!0).
% 0.20/0.40  tff(formula4, axiom,
% 0.20/0.40      c = $i!val!2).
% 0.20/0.40  tff(formula5, axiom,
% 0.20/0.40      e = $i!val!3).
% 0.20/0.40  tff(formula6, axiom,
% 0.20/0.40      d = $i!val!5).
% 0.20/0.40  tff(formula7, axiom,
% 0.20/0.40      j = $i!val!0).
% 0.20/0.40  tff(formula8, axiom,
% 0.20/0.40      ![X0: $i] : (big_j(X0) <=> ((ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!1), $i!val!1, $i!val!4)) = $i!val!1) | (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!1), $i!val!1, $i!val!4)) = $i!val!5)))).
% 0.20/0.40  tff(formula9, axiom,
% 0.20/0.40      ![X0: $i] : (big_f(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!3) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!2) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!0)))).
% 0.20/0.40  tff(formula10, axiom,
% 0.20/0.40      ![X0: $i] : (big_g(X0) <=> ((ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!1), $i!val!1, $i!val!4)) = $i!val!5) | (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!1), $i!val!1, $i!val!4)) = $i!val!1)))).
% 0.20/0.40  tff(formula11, axiom,
% 0.20/0.40      ![X0: $i] : (big_h(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!3) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!2) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!3)) = $i!val!0)))).
% 0.20/0.40  % SZS output end Model
%------------------------------------------------------------------------------