TSTP Solution File: LCL637+1.001 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : LCL637+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n009.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 04:56:51 EDT 2022

% Result   : CounterSatisfiable 0.16s 0.37s
% Output   : Model 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL637+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.32  % Computer : n009.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu Sep  1 22:35:50 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.32  Usage: tptp [options] [-file:]file
% 0.10/0.32    -h, -?       prints this message.
% 0.10/0.32    -smt2        print SMT-LIB2 benchmark.
% 0.10/0.32    -m, -model   generate model.
% 0.10/0.32    -p, -proof   generate proof.
% 0.10/0.32    -c, -core    generate unsat core of named formulas.
% 0.10/0.32    -st, -statistics display statistics.
% 0.10/0.32    -t:timeout   set timeout (in second).
% 0.10/0.32    -smt2status  display status in smt2 format instead of SZS.
% 0.10/0.32    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.32    -<param>:<value> configuration parameter and value.
% 0.10/0.32    -o:<output-file> file to place output in.
% 0.16/0.37  % SZS status CounterSatisfiable
% 0.16/0.37  % SZS output start Model
% 0.16/0.37  tff(p102_type, type, (
% 0.16/0.37     p102: $i > $o)).
% 0.16/0.37  tff(p1_type, type, (
% 0.16/0.37     p1: $i > $o)).
% 0.16/0.37  tff(tptp_fun__i_val_2_type, type, (
% 0.16/0.37     tptp_fun__i_val_2: $i)).
% 0.16/0.37  tff(tptp_fun__i_val_1_type, type, (
% 0.16/0.37     tptp_fun__i_val_1: $i)).
% 0.16/0.37  tff(tptp_fun__i_val_0_type, type, (
% 0.16/0.37     tptp_fun__i_val_0: $i)).
% 0.16/0.37  tff(p100_type, type, (
% 0.16/0.37     p100: $i > $o)).
% 0.16/0.37  tff(p101_type, type, (
% 0.16/0.37     p101: $i > $o)).
% 0.16/0.37  tff(r1_type, type, (
% 0.16/0.37     r1: ( $i * $i ) > $o)).
% 0.16/0.37  tff(p2_type, type, (
% 0.16/0.37     p2: $i > $o)).
% 0.16/0.37  tff(formula1, axiom,
% 0.16/0.37      ![X0: $i] : (p102(X0) <=> $false)).
% 0.16/0.37  tff(formula2, axiom,
% 0.16/0.37      ![X0: $i] : (p1(X0) <=> $false)).
% 0.16/0.37  tff(formula3, axiom,
% 0.16/0.37      ![X0: $i] : (p100(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!1) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!0) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!2)))).
% 0.16/0.37  tff(formula4, axiom,
% 0.16/0.37      ![X0: $i] : (p101(X0) <=> ((ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!1) | (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!2)))).
% 0.16/0.37  tff(formula5, axiom,
% 0.16/0.37      ![X0: $i, X1: $i] : (r1(X0, X1) <=> (((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!0) & (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!1)) | ((ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!0) & (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!2))))).
% 0.16/0.37  tff(formula6, axiom,
% 0.16/0.37      ![X0: $i] : (p2(X0) <=> (ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)) = $i!val!2))).
% 0.16/0.37  % SZS output end Model
%------------------------------------------------------------------------------