TSTP Solution File: KRS014-1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS014-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 17:44:22 EDT 2022
% Result : Satisfiable 0.12s 0.39s
% Output : Model 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS014-1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Sep 1 09:19:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Satisfiable
% 0.12/0.39 % SZS output start Model
% 0.12/0.39 tff(tptp_fun__i_val_0_type, type, (
% 0.12/0.39 tptp_fun__i_val_0: $i)).
% 0.12/0.39 tff(exists_type, type, (
% 0.12/0.39 exists: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_1_type, type, (
% 0.12/0.39 tptp_fun__i_val_1: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_3_type, type, (
% 0.12/0.39 tptp_fun__i_val_3: $i)).
% 0.12/0.39 tff(tptp_fun__i_val_2_type, type, (
% 0.12/0.39 tptp_fun__i_val_2: $i)).
% 0.12/0.39 tff(equalish_type, type, (
% 0.12/0.39 equalish: ( $i * $i ) > $o)).
% 0.12/0.39 tff(u2r3_type, type, (
% 0.12/0.39 u2r3: $i > $i)).
% 0.12/0.39 tff(u0r1_type, type, (
% 0.12/0.39 u0r1: $i > $i)).
% 0.12/0.39 tff(r1exact_type, type, (
% 0.12/0.39 r1exact: $i > $o)).
% 0.12/0.39 tff(u2r1_type, type, (
% 0.12/0.39 u2r1: ( $i * $i * $i ) > $i)).
% 0.12/0.39 tff(u1r1_type, type, (
% 0.12/0.39 u1r1: ( $i * $i ) > $i)).
% 0.12/0.39 tff(r_type, type, (
% 0.12/0.39 r: ( $i * $i ) > $o)).
% 0.12/0.39 tff(s_type, type, (
% 0.12/0.39 s: ( $i * $i ) > $o)).
% 0.12/0.39 tff(u2r2_type, type, (
% 0.12/0.39 u2r2: $i > $i)).
% 0.12/0.39 tff(e_type, type, (
% 0.12/0.39 e: $i > $o)).
% 0.12/0.39 tff(u1r2_type, type, (
% 0.12/0.39 u1r2: $i > $i)).
% 0.12/0.39 tff(s2exact_type, type, (
% 0.12/0.39 s2exact: $i > $o)).
% 0.12/0.39 tff(formula1, axiom,
% 0.12/0.39 exists = $i!val!0).
% 0.12/0.39 tff(formula2, axiom,
% 0.12/0.39 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!2) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!2) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1) & (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1))))).
% 0.12/0.39 tff(formula3, axiom,
% 0.12/0.39 ![X0: $i] : (u2r3(X0) = $i!val!1)).
% 0.12/0.39 tff(formula4, axiom,
% 0.12/0.39 ![X0: $i] : (u0r1(X0) = $i!val!0)).
% 0.12/0.39 tff(formula5, axiom,
% 0.12/0.39 ![X0: $i] : (r1exact(X0) <=> $true)).
% 0.12/0.39 tff(formula6, axiom,
% 0.12/0.39 ![X0: $i, X1: $i, X2: $i] : (u2r1(X0, X1, X2) = $i!val!0)).
% 0.12/0.39 tff(formula7, axiom,
% 0.12/0.39 ![X0: $i, X1: $i] : (u1r1(X0, X1) = $i!val!0)).
% 0.12/0.39 tff(formula8, axiom,
% 0.12/0.39 ![X0: $i, X1: $i] : (r(X0, X1) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!2) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1)))).
% 0.12/0.39 tff(formula9, axiom,
% 0.12/0.39 ![X0: $i, X1: $i] : (s(X0, X1) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!3) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!2) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, $i!val!3)) = $i!val!1)))).
% 0.12/0.39 tff(formula10, axiom,
% 0.12/0.39 ![X0: $i] : (u2r2(X0) = $i!val!2)).
% 0.12/0.39 tff(formula11, axiom,
% 0.12/0.39 ![X0: $i] : (e(X0) <=> $true)).
% 0.12/0.39 tff(formula12, axiom,
% 0.12/0.39 ![X0: $i] : (u1r2(X0) = $i!val!3)).
% 0.12/0.39 tff(formula13, axiom,
% 0.12/0.39 ![X0: $i] : (s2exact(X0) <=> $true)).
% 0.12/0.39 % SZS output end Model
%------------------------------------------------------------------------------