TSTP Solution File: KRS050+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : KRS050+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 Sep 17 17:44:31 EDT 2022

% Result   : Satisfiable 0.21s 0.45s
% Output   : Model 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : KRS050+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.14  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Sep  1 09:46:49 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36  Usage: tptp [options] [-file:]file
% 0.14/0.36    -h, -?       prints this message.
% 0.14/0.36    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.36    -m, -model   generate model.
% 0.14/0.36    -p, -proof   generate proof.
% 0.14/0.36    -c, -core    generate unsat core of named formulas.
% 0.14/0.36    -st, -statistics display statistics.
% 0.14/0.36    -t:timeout   set timeout (in second).
% 0.14/0.36    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.36    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36    -<param>:<value> configuration parameter and value.
% 0.14/0.36    -o:<output-file> file to place output in.
% 0.21/0.45  % SZS status Satisfiable
% 0.21/0.45  % SZS output start Model
% 0.21/0.45  tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.45     tptp_fun__i_val_0: $i)).
% 0.21/0.45  tff(i2003_11_14_17_16_39209_type, type, (
% 0.21/0.45     i2003_11_14_17_16_39209: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.45     tptp_fun__i_val_5: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.45     tptp_fun__i_val_4: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.45     tptp_fun__i_val_2: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.45     tptp_fun__i_val_1: $i)).
% 0.21/0.45  tff(rinvR_type, type, (
% 0.21/0.45     rinvR: ( $i * $i ) > $o)).
% 0.21/0.45  tff(cowlThing_type, type, (
% 0.21/0.45     cowlThing: $i > $o)).
% 0.21/0.45  tff(xsd_integer_type, type, (
% 0.21/0.45     xsd_integer: $i > $o)).
% 0.21/0.45  tff(xsd_string_type, type, (
% 0.21/0.45     xsd_string: $i > $o)).
% 0.21/0.45  tff(ca_Vx2_type, type, (
% 0.21/0.45     ca_Vx2: $i > $o)).
% 0.21/0.45  tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.45     tptp_fun__i_val_8: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.45     tptp_fun__i_val_7: $i)).
% 0.21/0.45  tff(cpxcomp_type, type, (
% 0.21/0.45     cpxcomp: $i > $o)).
% 0.21/0.45  tff(ca_Vx5_type, type, (
% 0.21/0.45     ca_Vx5: $i > $o)).
% 0.21/0.45  tff(rr_type, type, (
% 0.21/0.45     rr: ( $i * $i ) > $o)).
% 0.21/0.45  tff(ca_Vx3_type, type, (
% 0.21/0.45     ca_Vx3: $i > $o)).
% 0.21/0.45  tff(cowlNothing_type, type, (
% 0.21/0.45     cowlNothing: $i > $o)).
% 0.21/0.45  tff(cSatisfiable_type, type, (
% 0.21/0.45     cSatisfiable: $i > $o)).
% 0.21/0.45  tff(ca_Vx4_type, type, (
% 0.21/0.45     ca_Vx4: $i > $o)).
% 0.21/0.45  tff(cp_type, type, (
% 0.21/0.45     cp: $i > $o)).
% 0.21/0.45  tff(rr1_type, type, (
% 0.21/0.45     rr1: ( $i * $i ) > $o)).
% 0.21/0.45  tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.45     tptp_fun__i_val_9: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.45     tptp_fun__i_val_10: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.45     tptp_fun__i_val_3: $i)).
% 0.21/0.45  tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.45     tptp_fun__i_val_6: $i)).
% 0.21/0.45  tff(ra_Px1_type, type, (
% 0.21/0.45     ra_Px1: ( $i * $i ) > $o)).
% 0.21/0.45  tff(formula1, axiom,
% 0.21/0.45      i2003_11_14_17_16_39209 = $i!val!0).
% 0.21/0.45  tff(formula2, axiom,
% 0.21/0.45      ![X0: $i, X1: $i] : (rinvR(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, $i!val!2) = $i!val!2) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!4)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!2) = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!2) = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0)) | ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!2) = $i!val!2) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0))))).
% 0.21/0.45  tff(formula3, axiom,
% 0.21/0.45      ![X0: $i] : (cowlThing(X0) <=> $true)).
% 0.21/0.45  tff(formula4, axiom,
% 0.21/0.45      ![X0: $i] : (xsd_string(X0) <=> (~xsd_integer(X0)))).
% 0.21/0.45  tff(formula5, axiom,
% 0.21/0.45      ![X0: $i] : (ca_Vx2(X0) <=> ((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0) | (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!5)))).
% 0.21/0.45  tff(formula6, axiom,
% 0.21/0.45      ![X0: $i] : (cpxcomp(X0) <=> ((ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!0) | (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!8)))).
% 0.21/0.45  tff(formula7, axiom,
% 0.21/0.45      ![X0: $i] : (ca_Vx5(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!2))).
% 0.21/0.45  tff(formula8, axiom,
% 0.21/0.45      ![X0: $i, X1: $i] : (rr(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!1)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!2)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!1)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!4) & (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!2))))).
% 0.21/0.45  tff(formula9, axiom,
% 0.21/0.45      ![X0: $i] : (ca_Vx3(X0) <=> ((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0) | (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!4)))).
% 0.21/0.45  tff(formula10, axiom,
% 0.21/0.45      ![X0: $i] : (cowlNothing(X0) <=> $false)).
% 0.21/0.45  tff(formula11, axiom,
% 0.21/0.45      ![X0: $i] : (xsd_integer(X0) <=> $false)).
% 0.21/0.45  tff(formula12, axiom,
% 0.21/0.45      ![X0: $i] : (cSatisfiable(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!0))).
% 0.21/0.45  tff(formula13, axiom,
% 0.21/0.45      ![X0: $i] : (ca_Vx4(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!2) = $i!val!1))).
% 0.21/0.45  tff(formula14, axiom,
% 0.21/0.45      ![X0: $i] : (cp(X0) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7))).
% 0.21/0.45  tff(formula15, axiom,
% 0.21/0.45      ![X0: $i, X1: $i] : (rr1(X0, X1) <=> (((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!4) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!8)) | ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, $i!val!0)) = $i!val!5) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!7))))).
% 0.21/0.45  tff(formula16, axiom,
% 0.21/0.45      ![X0: $i, X1: $i] : (ra_Px1(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!8) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!10), $i!val!10, $i!val!9))) = $i!val!10)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!0) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!10), $i!val!10, $i!val!9))) = $i!val!6)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!0) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!10), $i!val!10, $i!val!9))) = $i!val!3)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, $i!val!0)) = $i!val!8) & (ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!10), $i!val!10, $i!val!9))) = $i!val!9))))).
% 0.21/0.45  % SZS output end Model
%------------------------------------------------------------------------------