TSTP Solution File: KRS011-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS011-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 0.20s 0.43s
% Output : Model 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS011-1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n004.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 : Thu Sep 1 09:12:19 EDT 2022
% 0.12/0.34 % 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.
% 0.20/0.43 % SZS status Satisfiable
% 0.20/0.43 % SZS output start Model
% 0.20/0.43 tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.43 tptp_fun__i_val_0: $i)).
% 0.20/0.43 tff(exists_type, type, (
% 0.20/0.43 exists: $i)).
% 0.20/0.43 tff(u11r2_type, type, (
% 0.20/0.43 u11r2: ( $i * $i ) > $i)).
% 0.20/0.43 tff(u9r2_type, type, (
% 0.20/0.43 u9r2: ( $i * $i ) > $i)).
% 0.20/0.43 tff(f2_type, type, (
% 0.20/0.43 f2: $i > $o)).
% 0.20/0.43 tff(u10r3_type, type, (
% 0.20/0.43 u10r3: ( $i * $i ) > $i)).
% 0.20/0.43 tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.43 tptp_fun__i_val_3: $i)).
% 0.20/0.43 tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.43 tptp_fun__i_val_5: $i)).
% 0.20/0.43 tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.43 tptp_fun__i_val_2: $i)).
% 0.20/0.43 tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.43 tptp_fun__i_val_4: $i)).
% 0.20/0.43 tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.43 tptp_fun__i_val_6: $i)).
% 0.20/0.43 tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.43 tptp_fun__i_val_1: $i)).
% 0.20/0.43 tff(r3_type, type, (
% 0.20/0.43 r3: ( $i * $i ) > $o)).
% 0.20/0.43 tff(equalish_type, type, (
% 0.20/0.43 equalish: ( $i * $i ) > $o)).
% 0.20/0.43 tff(u10r4_type, type, (
% 0.20/0.43 u10r4: $i > $i)).
% 0.20/0.43 tff(u11r5_type, type, (
% 0.20/0.43 u11r5: $i > $i)).
% 0.20/0.43 tff(u9r3_type, type, (
% 0.20/0.43 u9r3: ( $i * $i ) > $i)).
% 0.20/0.43 tff(u11r4_type, type, (
% 0.20/0.43 u11r4: $i > $i)).
% 0.20/0.43 tff(f3_type, type, (
% 0.20/0.43 f3: $i > $o)).
% 0.20/0.43 tff(r1_type, type, (
% 0.20/0.43 r1: ( $i * $i ) > $o)).
% 0.20/0.43 tff(t3_type, type, (
% 0.20/0.43 t3: ( $i * $i ) > $o)).
% 0.20/0.43 tff(r_type, type, (
% 0.20/0.43 r: ( $i * $i ) > $o)).
% 0.20/0.43 tff(u9r4_type, type, (
% 0.20/0.43 u9r4: $i > $i)).
% 0.20/0.43 tff(u11r3_type, type, (
% 0.20/0.43 u11r3: ( $i * $i ) > $i)).
% 0.20/0.43 tff(c_type, type, (
% 0.20/0.43 c: $i > $o)).
% 0.20/0.43 tff(u10r5_type, type, (
% 0.20/0.43 u10r5: $i > $i)).
% 0.20/0.43 tff(u10r2_type, type, (
% 0.20/0.43 u10r2: ( $i * $i ) > $i)).
% 0.20/0.43 tff(u11r1_type, type, (
% 0.20/0.43 u11r1: ( $i * $i ) > $i)).
% 0.20/0.43 tff(u14r2_type, type, (
% 0.20/0.43 u14r2: $i > $i)).
% 0.20/0.43 tff(d_type, type, (
% 0.20/0.43 d: $i > $o)).
% 0.20/0.43 tff(u9r1_type, type, (
% 0.20/0.43 u9r1: ( $i * $i ) > $i)).
% 0.20/0.43 tff(r2_type, type, (
% 0.20/0.43 r2: ( $i * $i ) > $o)).
% 0.20/0.43 tff(r2least_type, type, (
% 0.20/0.43 r2least: $i > $o)).
% 0.20/0.43 tff(e_type, type, (
% 0.20/0.43 e: $i > $o)).
% 0.20/0.43 tff(u14r1_type, type, (
% 0.20/0.43 u14r1: $i > $i)).
% 0.20/0.43 tff(f_type, type, (
% 0.20/0.43 f: $i > $o)).
% 0.20/0.43 tff(g_type, type, (
% 0.20/0.43 g: $i > $o)).
% 0.20/0.43 tff(t1_type, type, (
% 0.20/0.43 t1: ( $i * $i ) > $o)).
% 0.20/0.43 tff(u10r1_type, type, (
% 0.20/0.43 u10r1: ( $i * $i ) > $i)).
% 0.20/0.43 tff(t_type, type, (
% 0.20/0.43 t: ( $i * $i ) > $o)).
% 0.20/0.43 tff(t2_type, type, (
% 0.20/0.43 t2: ( $i * $i ) > $o)).
% 0.20/0.43 tff(f1_type, type, (
% 0.20/0.43 f1: $i > $o)).
% 0.20/0.43 tff(u9r5_type, type, (
% 0.20/0.43 u9r5: $i > $i)).
% 0.20/0.43 tff(formula1, axiom,
% 0.20/0.43 exists = $i!val!0).
% 0.20/0.43 tff(formula2, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (u11r2(X0, X1) = $i!val!0)).
% 0.20/0.43 tff(formula3, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (u9r2(X0, X1) = $i!val!0)).
% 0.20/0.43 tff(formula4, axiom,
% 0.20/0.43 ![X0: $i] : (f2(X0) <=> $true)).
% 0.20/0.43 tff(formula5, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (u10r3(X0, X1) = $i!val!0)).
% 0.20/0.43 tff(formula6, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (r3(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3))).
% 0.20/0.43 tff(formula7, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!6) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!6)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3))))).
% 0.20/0.43 tff(formula8, axiom,
% 0.20/0.43 ![X0: $i] : (u10r4(X0) = $i!val!5)).
% 0.20/0.43 tff(formula9, axiom,
% 0.20/0.43 ![X0: $i] : (u11r5(X0) = $i!val!4)).
% 0.20/0.43 tff(formula10, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (u9r3(X0, X1) = $i!val!0)).
% 0.20/0.43 tff(formula11, axiom,
% 0.20/0.43 ![X0: $i] : (u11r4(X0) = $i!val!3)).
% 0.20/0.43 tff(formula12, axiom,
% 0.20/0.43 ![X0: $i] : (f3(X0) <=> $true)).
% 0.20/0.43 tff(formula13, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (r1(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1))).
% 0.20/0.43 tff(formula14, axiom,
% 0.20/0.43 ![X0: $i, X1: $i] : (t3(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4)))).
% 0.20/0.44 tff(formula15, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (r(X0, X1) <=> ((ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) | (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5)))).
% 0.20/0.44 tff(formula16, axiom,
% 0.20/0.44 ![X0: $i] : (u9r4(X0) = $i!val!1)).
% 0.20/0.44 tff(formula17, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (u11r3(X0, X1) = $i!val!0)).
% 0.20/0.44 tff(formula18, axiom,
% 0.20/0.44 ![X0: $i] : (c(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2))).
% 0.20/0.44 tff(formula19, axiom,
% 0.20/0.44 ![X0: $i] : (u10r5(X0) = $i!val!6)).
% 0.20/0.44 tff(formula20, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (u10r2(X0, X1) = $i!val!0)).
% 0.20/0.44 tff(formula21, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (u11r1(X0, X1) = $i!val!0)).
% 0.20/0.44 tff(formula22, axiom,
% 0.20/0.44 ![X0: $i] : (u14r2(X0) = $i!val!0)).
% 0.20/0.44 tff(formula23, axiom,
% 0.20/0.44 ![X0: $i] : (d(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!6))).
% 0.20/0.44 tff(formula24, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (u9r1(X0, X1) = $i!val!0)).
% 0.20/0.44 tff(formula25, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (r2(X0, X1) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5))).
% 0.20/0.44 tff(formula26, axiom,
% 0.20/0.44 ![X0: $i] : (r2least(X0) <=> $false)).
% 0.20/0.44 tff(formula27, axiom,
% 0.20/0.44 ![X0: $i] : (e(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4))).
% 0.20/0.44 tff(formula28, axiom,
% 0.20/0.44 ![X0: $i] : (u14r1(X0) = $i!val!0)).
% 0.20/0.44 tff(formula29, axiom,
% 0.20/0.44 ![X0: $i] : (f(X0) <=> $true)).
% 0.20/0.44 tff(formula30, axiom,
% 0.20/0.44 ![X0: $i] : (g(X0) <=> $false)).
% 0.20/0.44 tff(formula31, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (t1(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2)))).
% 0.20/0.44 tff(formula32, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (u10r1(X0, X1) = $i!val!0)).
% 0.20/0.44 tff(formula33, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (t(X0, X1) <=> (((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!2)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!6)) | ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!4))))).
% 0.20/0.44 tff(formula34, axiom,
% 0.20/0.44 ![X0: $i, X1: $i] : (t2(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!5) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!2), $i!val!2, $i!val!5))))) = $i!val!6)))).
% 0.20/0.44 tff(formula35, axiom,
% 0.20/0.44 ![X0: $i] : (f1(X0) <=> $true)).
% 0.20/0.44 tff(formula36, axiom,
% 0.20/0.44 ![X0: $i] : (u9r5(X0) = $i!val!2)).
% 0.20/0.44 % SZS output end Model
%------------------------------------------------------------------------------