TSTP Solution File: SYN309-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN309-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : Thu Sep 29 23:54:37 EDT 2022
% Result : Satisfiable 0.20s 0.49s
% Output : Model 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN309-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n016.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 02:48:54 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.
% 0.20/0.49 % SZS status Satisfiable
% 0.20/0.49 % SZS output start Model
% 0.20/0.49 tff(tptp_fun__i_val_1_type, type, (
% 0.20/0.49 tptp_fun__i_val_1: $i)).
% 0.20/0.49 tff(b_type, type, (
% 0.20/0.49 b: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.49 tptp_fun__i_val_0: $i)).
% 0.20/0.49 tff(a_type, type, (
% 0.20/0.49 a: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_2_type, type, (
% 0.20/0.49 tptp_fun__i_val_2: $i)).
% 0.20/0.49 tff(c_type, type, (
% 0.20/0.49 c: $i)).
% 0.20/0.49 tff(r_type, type, (
% 0.20/0.49 r: ( $i * $i * $i ) > $o)).
% 0.20/0.49 tff(tptp_fun__i_val_16_type, type, (
% 0.20/0.49 tptp_fun__i_val_16: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_3_type, type, (
% 0.20/0.49 tptp_fun__i_val_3: $i)).
% 0.20/0.49 tff(k!143_type, type, (
% 0.20/0.49 k!143: $i > $i)).
% 0.20/0.49 tff(tptp_fun__i_val_5_type, type, (
% 0.20/0.49 tptp_fun__i_val_5: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_6_type, type, (
% 0.20/0.49 tptp_fun__i_val_6: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_7_type, type, (
% 0.20/0.49 tptp_fun__i_val_7: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_4_type, type, (
% 0.20/0.49 tptp_fun__i_val_4: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_8_type, type, (
% 0.20/0.49 tptp_fun__i_val_8: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_9_type, type, (
% 0.20/0.49 tptp_fun__i_val_9: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_10_type, type, (
% 0.20/0.49 tptp_fun__i_val_10: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_11_type, type, (
% 0.20/0.49 tptp_fun__i_val_11: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_12_type, type, (
% 0.20/0.49 tptp_fun__i_val_12: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_13_type, type, (
% 0.20/0.49 tptp_fun__i_val_13: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_14_type, type, (
% 0.20/0.49 tptp_fun__i_val_14: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_15_type, type, (
% 0.20/0.49 tptp_fun__i_val_15: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_17_type, type, (
% 0.20/0.49 tptp_fun__i_val_17: $i)).
% 0.20/0.49 tff(tptp_fun__i_val_18_type, type, (
% 0.20/0.49 tptp_fun__i_val_18: $i)).
% 0.20/0.49 tff(f_type, type, (
% 0.20/0.49 f: $i > $i)).
% 0.20/0.49 tff(g_type, type, (
% 0.20/0.49 g: $i > $i)).
% 0.20/0.49 tff(p_type, type, (
% 0.20/0.49 p: ( $i * $i * $i ) > $o)).
% 0.20/0.49 tff(h_type, type, (
% 0.20/0.49 h: ( $i * $i * $i ) > $i)).
% 0.20/0.49 tff(s_type, type, (
% 0.20/0.49 s: ( $i * $i * $i ) > $o)).
% 0.20/0.49 tff(k_type, type, (
% 0.20/0.49 k: ( $i * $i ) > $i)).
% 0.20/0.49 tff(formula1, axiom,
% 0.20/0.49 b = $i!val!1).
% 0.20/0.49 tff(formula2, axiom,
% 0.20/0.49 a = $i!val!0).
% 0.20/0.49 tff(formula3, axiom,
% 0.20/0.49 c = $i!val!2).
% 0.20/0.49 tff(formula4, axiom,
% 0.20/0.49 ![X0: $i, X1: $i, X2: $i] : (r(X0, X1, X2) <=> $false)).
% 0.20/0.49 tff(formula5, axiom,
% 0.20/0.49 ![X0: $i] : (f(X0) = ite_t((k!143(X0) = $i!val!13), $i!val!18, ite_t((k!143(X0) = $i!val!15), $i!val!17, ite_t((k!143(X0) = $i!val!14), $i!val!15, ite_t((k!143(X0) = $i!val!11), $i!val!14, ite_t((k!143(X0) = $i!val!8), $i!val!13, ite_t((k!143(X0) = $i!val!9), $i!val!12, ite_t((k!143(X0) = $i!val!7), $i!val!11, ite_t((k!143(X0) = $i!val!2), $i!val!10, ite_t((k!143(X0) = $i!val!5), $i!val!9, ite_t((k!143(X0) = $i!val!6), $i!val!8, ite_t((k!143(X0) = $i!val!4), $i!val!7, ite_t((k!143(X0) = $i!val!3), $i!val!6, ite_t((k!143(X0) = $i!val!1), $i!val!5, ite_t((k!143(X0) = $i!val!0), $i!val!3, $i!val!16)))))))))))))))).
% 0.20/0.49 tff(formula6, axiom,
% 0.20/0.49 ![X0: $i] : (g(X0) = $i!val!16)).
% 0.20/0.49 tff(formula7, axiom,
% 0.20/0.49 ![X0: $i, X1: $i, X2: $i] : (p(X0, X1, X2) <=> (((k!143(X2) = $i!val!14) & (k!143(X1) = $i!val!14) & (k!143(X0) = $i!val!14)) | ((k!143(X2) = $i!val!1) & (k!143(X1) = $i!val!1) & (k!143(X0) = $i!val!1)) | ((k!143(X2) = $i!val!9) & (k!143(X1) = $i!val!9) & (k!143(X0) = $i!val!9)) | ((k!143(X2) = $i!val!0) & (k!143(X1) = $i!val!0) & (k!143(X0) = $i!val!0)) | ((k!143(X2) = $i!val!5) & (k!143(X1) = $i!val!5) & (k!143(X0) = $i!val!5)) | ((k!143(X2) = $i!val!12) & (k!143(X1) = $i!val!12) & (k!143(X0) = $i!val!12)) | ((k!143(X2) = $i!val!2) & (k!143(X1) = $i!val!2) & (k!143(X0) = $i!val!2)) | ((k!143(X2) = $i!val!0) & (k!143(X1) = $i!val!1) & (k!143(X0) = $i!val!2)) | ((k!143(X2) = $i!val!7) & (k!143(X1) = $i!val!7) & (k!143(X0) = $i!val!7)) | ((k!143(X2) = $i!val!8) & (k!143(X1) = $i!val!8) & (k!143(X0) = $i!val!8)) | ((k!143(X2) = $i!val!13) & (k!143(X1) = $i!val!13) & (k!143(X0) = $i!val!13)) | ((k!143(X2) = $i!val!11) & (k!143(X1) = $i!val!11) & (k!143(X0) = $i!val!11)) | ((k!143(X2) = $i!val!3) & (k!143(X1) = $i!val!3) & (k!143(X0) = $i!val!3)) | ((k!143(X2) = $i!val!6) & (k!143(X1) = $i!val!6) & (k!143(X0) = $i!val!6)) | ((k!143(X2) = $i!val!15) & (k!143(X1) = $i!val!15) & (k!143(X0) = $i!val!15)) | ((k!143(X2) = $i!val!4) & (k!143(X1) = $i!val!4) & (k!143(X0) = $i!val!4))))).
% 0.20/0.49 tff(formula8, axiom,
% 0.20/0.49 ![X0: $i, X1: $i, X2: $i] : (h(X0, X1, X2) = ite_t((k!143(X2) = $i!val!0), $i!val!4, $i!val!16))).
% 0.20/0.50 tff(formula9, axiom,
% 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (s(X0, X1, X2) <=> (((X2 = $i!val!13) & (k!143(X1) = $i!val!8) & (k!143(X0) = $i!val!8)) | ((X2 = $i!val!6) & (k!143(X1) = $i!val!3) & (k!143(X0) = $i!val!3)) | ((X2 = $i!val!3) & (k!143(X1) = $i!val!0) & (k!143(X0) = $i!val!0)) | ((X2 = $i!val!10) & (k!143(X1) = $i!val!2) & (k!143(X0) = $i!val!2)) | ((X2 = $i!val!4) & (k!143(X1) = $i!val!1) & (k!143(X0) = $i!val!4)) | ((X2 = $i!val!14) & (k!143(X1) = $i!val!11) & (k!143(X0) = $i!val!11)) | ((X2 = $i!val!5) & (k!143(X1) = $i!val!1) & (k!143(X0) = $i!val!1)) | ((X2 = $i!val!11) & (k!143(X1) = $i!val!7) & (k!143(X0) = $i!val!7)) | ((X2 = $i!val!9) & (k!143(X1) = $i!val!5) & (k!143(X0) = $i!val!5)) | ((X2 = $i!val!15) & (k!143(X1) = $i!val!14) & (k!143(X0) = $i!val!14)) | ((X2 = $i!val!12) & (k!143(X1) = $i!val!9) & (k!143(X0) = $i!val!9)) | ((X2 = $i!val!7) & (k!143(X1) = $i!val!4) & (k!143(X0) = $i!val!4)) | ((X2 = $i!val!18) & (k!143(X1) = $i!val!13) & (k!143(X0) = $i!val!13)) | ((X2 = $i!val!8) & (k!143(X1) = $i!val!6) & (k!143(X0) = $i!val!6)) | ((X2 = $i!val!16) & (k!143(X1) = $i!val!12) & (k!143(X0) = $i!val!12)) | ((X2 = $i!val!17) & (k!143(X1) = $i!val!15) & (k!143(X0) = $i!val!15))))).
% 0.20/0.50 tff(formula10, axiom,
% 0.20/0.50 k!143($i!val!7) = $i!val!7).
% 0.20/0.50 tff(formula11, axiom,
% 0.20/0.50 k!143($i!val!15) = $i!val!15).
% 0.20/0.50 tff(formula12, axiom,
% 0.20/0.50 k!143($i!val!4) = $i!val!4).
% 0.20/0.50 tff(formula13, axiom,
% 0.20/0.50 k!143($i!val!13) = $i!val!13).
% 0.20/0.50 tff(formula14, axiom,
% 0.20/0.50 k!143($i!val!1) = $i!val!1).
% 0.20/0.50 tff(formula15, axiom,
% 0.20/0.50 k!143($i!val!0) = $i!val!0).
% 0.20/0.50 tff(formula16, axiom,
% 0.20/0.50 k!143($i!val!11) = $i!val!11).
% 0.20/0.50 tff(formula17, axiom,
% 0.20/0.50 k!143($i!val!12) = $i!val!12).
% 0.20/0.50 tff(formula18, axiom,
% 0.20/0.50 k!143($i!val!9) = $i!val!9).
% 0.20/0.50 tff(formula19, axiom,
% 0.20/0.50 k!143($i!val!8) = $i!val!8).
% 0.20/0.50 tff(formula20, axiom,
% 0.20/0.50 k!143($i!val!2) = $i!val!2).
% 0.20/0.50 tff(formula21, axiom,
% 0.20/0.50 k!143($i!val!3) = $i!val!3).
% 0.20/0.50 tff(formula22, axiom,
% 0.20/0.50 k!143($i!val!14) = $i!val!14).
% 0.20/0.50 tff(formula23, axiom,
% 0.20/0.50 k!143($i!val!6) = $i!val!6).
% 0.20/0.50 tff(formula24, axiom,
% 0.20/0.50 ![X0: $i] : ((~((($i!val!7 = X0)) | (($i!val!15 = X0)) | (($i!val!4 = X0)) | (($i!val!13 = X0)) | (($i!val!1 = X0)) | (($i!val!0 = X0)) | (($i!val!11 = X0)) | (($i!val!12 = X0)) | (($i!val!9 = X0)) | (($i!val!8 = X0)) | (($i!val!2 = X0)) | (($i!val!3 = X0)) | (($i!val!14 = X0)) | (($i!val!6 = X0)))) => (k!143(X0) = $i!val!5))).
% 0.20/0.50 tff(formula25, axiom,
% 0.20/0.50 ![X0: $i, X1: $i] : (k(X0, X1) = $i!val!16)).
% 0.20/0.50 % SZS output end Model
%------------------------------------------------------------------------------