TSTP Solution File: SYN308-1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN308-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 : Thu Sep 29 23:54:37 EDT 2022
% Result : Satisfiable 0.12s 0.40s
% Output : Model 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN308-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n003.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 : Mon Sep 5 02:26:41 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.12/0.40 % SZS status Satisfiable
% 0.12/0.40 % SZS output start Model
% 0.12/0.40 tff(tptp_fun__i_val_0_type, type, (
% 0.12/0.40 tptp_fun__i_val_0: $i)).
% 0.12/0.40 tff(c_type, type, (
% 0.12/0.40 c: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_1_type, type, (
% 0.12/0.40 tptp_fun__i_val_1: $i)).
% 0.12/0.40 tff(a_type, type, (
% 0.12/0.40 a: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_8_type, type, (
% 0.12/0.40 tptp_fun__i_val_8: $i)).
% 0.12/0.40 tff(b_type, type, (
% 0.12/0.40 b: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_5_type, type, (
% 0.12/0.40 tptp_fun__i_val_5: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_4_type, type, (
% 0.12/0.40 tptp_fun__i_val_4: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_9_type, type, (
% 0.12/0.40 tptp_fun__i_val_9: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_7_type, type, (
% 0.12/0.40 tptp_fun__i_val_7: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_6_type, type, (
% 0.12/0.40 tptp_fun__i_val_6: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_10_type, type, (
% 0.12/0.40 tptp_fun__i_val_10: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_11_type, type, (
% 0.12/0.40 tptp_fun__i_val_11: $i)).
% 0.12/0.40 tff(gf_type, type, (
% 0.12/0.40 gf: ( $i * $i ) > $i)).
% 0.12/0.40 tff(tptp_fun__i_val_2_type, type, (
% 0.12/0.40 tptp_fun__i_val_2: $i)).
% 0.12/0.40 tff(tptp_fun__i_val_3_type, type, (
% 0.12/0.40 tptp_fun__i_val_3: $i)).
% 0.12/0.40 tff(f_type, type, (
% 0.12/0.40 f: $i > $i)).
% 0.12/0.40 tff(h_type, type, (
% 0.12/0.40 h: ( $i * $i * $i ) > $i)).
% 0.12/0.40 tff(g_type, type, (
% 0.12/0.40 g: $i > $o)).
% 0.12/0.40 tff(r_type, type, (
% 0.12/0.40 r: ( $i * $i ) > $o)).
% 0.12/0.40 tff(p_type, type, (
% 0.12/0.40 p: ( $i * $i ) > $o)).
% 0.12/0.40 tff(e_type, type, (
% 0.12/0.40 e: $i > $o)).
% 0.12/0.40 tff(formula1, axiom,
% 0.12/0.40 c = $i!val!0).
% 0.12/0.40 tff(formula2, axiom,
% 0.12/0.40 a = $i!val!1).
% 0.12/0.40 tff(formula3, axiom,
% 0.12/0.40 b = $i!val!8).
% 0.12/0.40 tff(formula4, axiom,
% 0.12/0.40 ![X0: $i, X1: $i] : (gf(X0, X1) = ite_t(((ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!5)), $i!val!11, ite_t(((ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!7) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!9)), $i!val!10, ite_t(((ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!0) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!5)), $i!val!6, ite_t(((ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!4) & (ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!0), $i!val!0, $i!val!9)))) = $i!val!4)), $i!val!5, $i!val!0)))))).
% 0.12/0.40 tff(formula5, axiom,
% 0.12/0.40 ![X0: $i] : (f(X0) = ite_t((ite_t((X0 = $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!8))) = $i!val!8), $i!val!9, ite_t((ite_t((X0 = $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!8))) = $i!val!2), $i!val!3, ite_t((ite_t((X0 = $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!8))) = $i!val!1), $i!val!2, $i!val!0))))).
% 0.12/0.40 tff(formula6, axiom,
% 0.12/0.40 ![X0: $i, X1: $i, X2: $i] : (h(X0, X1, X2) = ite_t((ite_t((X0 = $i!val!4), $i!val!4, $i!val!6) = $i!val!4), $i!val!7, $i!val!0))).
% 0.12/0.40 tff(formula7, axiom,
% 0.12/0.40 ![X0: $i] : (g(X0) <=> $false)).
% 0.12/0.40 tff(formula8, axiom,
% 0.12/0.40 ![X0: $i, X1: $i] : (r(X0, X1) <=> $true)).
% 0.12/0.40 tff(formula9, axiom,
% 0.12/0.40 ![X0: $i, X1: $i] : (p(X0, X1) <=> ((ite_t((X1 = $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!8))) = $i!val!3) & (ite_t((X0 = $i!val!4), $i!val!4, $i!val!6) = $i!val!6)))).
% 0.12/0.40 tff(formula10, axiom,
% 0.12/0.40 ![X0: $i] : (e(X0) <=> $true)).
% 0.12/0.40 % SZS output end Model
%------------------------------------------------------------------------------