TSTP Solution File: PUZ001-3 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ001-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 14:10:46 EDT 2022
% Result : Satisfiable 0.25s 0.44s
% Output : Model 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PUZ001-3 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Fri Sep 2 18:15:03 EDT 2022
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.16/0.38 Usage: tptp [options] [-file:]file
% 0.16/0.38 -h, -? prints this message.
% 0.16/0.38 -smt2 print SMT-LIB2 benchmark.
% 0.16/0.38 -m, -model generate model.
% 0.16/0.38 -p, -proof generate proof.
% 0.16/0.38 -c, -core generate unsat core of named formulas.
% 0.16/0.38 -st, -statistics display statistics.
% 0.16/0.38 -t:timeout set timeout (in second).
% 0.16/0.38 -smt2status display status in smt2 format instead of SZS.
% 0.16/0.38 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.16/0.38 -<param>:<value> configuration parameter and value.
% 0.16/0.38 -o:<output-file> file to place output in.
% 0.25/0.44 % SZS status Satisfiable
% 0.25/0.44 % SZS output start Model
% 0.25/0.44 tff(tptp_fun__i_val_2_type, type, (
% 0.25/0.44 tptp_fun__i_val_2: $i)).
% 0.25/0.44 tff(charles_type, type, (
% 0.25/0.44 charles: $i)).
% 0.25/0.44 tff(tptp_fun__i_val_0_type, type, (
% 0.25/0.44 tptp_fun__i_val_0: $i)).
% 0.25/0.44 tff(agatha_type, type, (
% 0.25/0.44 agatha: $i)).
% 0.25/0.44 tff(tptp_fun__i_val_1_type, type, (
% 0.25/0.44 tptp_fun__i_val_1: $i)).
% 0.25/0.44 tff(butler_type, type, (
% 0.25/0.44 butler: $i)).
% 0.25/0.44 tff(lives_type, type, (
% 0.25/0.44 lives: $i > $o)).
% 0.25/0.44 tff(richer_type, type, (
% 0.25/0.44 richer: ( $i * $i ) > $o)).
% 0.25/0.44 tff(hates_type, type, (
% 0.25/0.44 hates: ( $i * $i ) > $o)).
% 0.25/0.44 tff(killed_type, type, (
% 0.25/0.44 killed: ( $i * $i ) > $o)).
% 0.25/0.44 tff(formula1, axiom,
% 0.25/0.44 charles = $i!val!2).
% 0.25/0.44 tff(formula2, axiom,
% 0.25/0.44 agatha = $i!val!0).
% 0.25/0.44 tff(formula3, axiom,
% 0.25/0.44 butler = $i!val!1).
% 0.25/0.44 tff(formula4, axiom,
% 0.25/0.44 ![X0: $i] : (lives(X0) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2)))).
% 0.25/0.44 tff(formula5, axiom,
% 0.25/0.44 ![X0: $i, X1: $i] : (richer(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0)))).
% 0.25/0.44 tff(formula6, axiom,
% 0.25/0.44 ![X0: $i, X1: $i] : (hates(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!2))))).
% 0.25/0.44 tff(formula7, axiom,
% 0.25/0.44 ![X0: $i, X1: $i] : (killed(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!2)) = $i!val!0)))).
% 0.25/0.44 % SZS output end Model
%------------------------------------------------------------------------------