TSTP Solution File: CAT002-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CAT002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 : Tue Sep 6 17:29:36 EDT 2022
% Result : Satisfiable 1.82s 1.46s
% Output : Model 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 05:12:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 1.82/1.46 % SZS status Satisfiable
% 1.82/1.46 % SZS output start Model
% 1.82/1.46 tff(tptp_fun__i_val_3_type, type, (
% 1.82/1.46 tptp_fun__i_val_3: $i)).
% 1.82/1.46 tff(h_type, type, (
% 1.82/1.46 h: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_1_type, type, (
% 1.82/1.46 tptp_fun__i_val_1: $i)).
% 1.82/1.46 tff(b_type, type, (
% 1.82/1.46 b: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_0_type, type, (
% 1.82/1.46 tptp_fun__i_val_0: $i)).
% 1.82/1.46 tff(a_type, type, (
% 1.82/1.46 a: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_6_type, type, (
% 1.82/1.46 tptp_fun__i_val_6: $i)).
% 1.82/1.46 tff(g_type, type, (
% 1.82/1.46 g: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_16_type, type, (
% 1.82/1.46 tptp_fun__i_val_16: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_2_type, type, (
% 1.82/1.46 tptp_fun__i_val_2: $i)).
% 1.82/1.46 tff(k!88_type, type, (
% 1.82/1.46 k!88: $i > $i)).
% 1.82/1.46 tff(tptp_fun__i_val_5_type, type, (
% 1.82/1.46 tptp_fun__i_val_5: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_8_type, type, (
% 1.82/1.46 tptp_fun__i_val_8: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_4_type, type, (
% 1.82/1.46 tptp_fun__i_val_4: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_7_type, type, (
% 1.82/1.46 tptp_fun__i_val_7: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_9_type, type, (
% 1.82/1.46 tptp_fun__i_val_9: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_10_type, type, (
% 1.82/1.46 tptp_fun__i_val_10: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_11_type, type, (
% 1.82/1.46 tptp_fun__i_val_11: $i)).
% 1.82/1.46 tff(codomain_type, type, (
% 1.82/1.46 codomain: $i > $i)).
% 1.82/1.46 tff(compose_type, type, (
% 1.82/1.46 compose: ( $i * $i ) > $i)).
% 1.82/1.46 tff(tptp_fun__i_val_12_type, type, (
% 1.82/1.46 tptp_fun__i_val_12: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_13_type, type, (
% 1.82/1.46 tptp_fun__i_val_13: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_14_type, type, (
% 1.82/1.46 tptp_fun__i_val_14: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_15_type, type, (
% 1.82/1.46 tptp_fun__i_val_15: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_17_type, type, (
% 1.82/1.46 tptp_fun__i_val_17: $i)).
% 1.82/1.46 tff(tptp_fun__i_val_18_type, type, (
% 1.82/1.46 tptp_fun__i_val_18: $i)).
% 1.82/1.46 tff(domain_type, type, (
% 1.82/1.46 domain: $i > $i)).
% 1.82/1.46 tff(formula1, axiom,
% 1.82/1.46 h = $i!val!3).
% 1.82/1.46 tff(formula2, axiom,
% 1.82/1.46 b = $i!val!1).
% 1.82/1.46 tff(formula3, axiom,
% 1.82/1.46 a = $i!val!0).
% 1.82/1.46 tff(formula4, axiom,
% 1.82/1.46 g = $i!val!6).
% 1.82/1.46 tff(formula5, axiom,
% 1.82/1.46 ![X0: $i] : (codomain(X0) = ite_t((k!88(X0) = $i!val!11), $i!val!2, ite_t((k!88(X0) = $i!val!10), $i!val!2, ite_t((k!88(X0) = $i!val!8), $i!val!8, ite_t((k!88(X0) = $i!val!9), $i!val!9, ite_t((k!88(X0) = $i!val!7), $i!val!8, ite_t((k!88(X0) = $i!val!1), $i!val!8, ite_t((k!88(X0) = $i!val!4), $i!val!8, ite_t((k!88(X0) = $i!val!5), $i!val!5, ite_t((k!88(X0) = $i!val!2), $i!val!2, ite_t((k!88(X0) = $i!val!6), $i!val!5, ite_t((k!88(X0) = $i!val!3), $i!val!5, ite_t((k!88(X0) = $i!val!0), $i!val!2, $i!val!16)))))))))))))).
% 1.82/1.46 tff(formula6, axiom,
% 1.82/1.46 k!88($i!val!5) = $i!val!5).
% 1.82/1.46 tff(formula7, axiom,
% 1.82/1.46 k!88($i!val!11) = $i!val!11).
% 1.82/1.46 tff(formula8, axiom,
% 1.82/1.46 k!88($i!val!4) = $i!val!4).
% 1.82/1.46 tff(formula9, axiom,
% 1.82/1.46 k!88($i!val!2) = $i!val!2).
% 1.82/1.46 tff(formula10, axiom,
% 1.82/1.46 k!88($i!val!8) = $i!val!8).
% 1.82/1.46 tff(formula11, axiom,
% 1.82/1.46 k!88($i!val!9) = $i!val!9).
% 1.82/1.46 tff(formula12, axiom,
% 1.82/1.46 k!88($i!val!3) = $i!val!3).
% 1.82/1.46 tff(formula13, axiom,
% 1.82/1.46 k!88($i!val!6) = $i!val!6).
% 1.82/1.46 tff(formula14, axiom,
% 1.82/1.46 k!88($i!val!1) = $i!val!1).
% 1.82/1.46 tff(formula15, axiom,
% 1.82/1.46 k!88($i!val!10) = $i!val!10).
% 1.82/1.46 tff(formula16, axiom,
% 1.82/1.46 k!88($i!val!0) = $i!val!0).
% 1.82/1.46 tff(formula17, axiom,
% 1.82/1.46 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!11 = X0)) | (($i!val!4 = X0)) | (($i!val!2 = X0)) | (($i!val!8 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)) | (($i!val!6 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!0 = X0)))) => (k!88(X0) = $i!val!7))).
% 1.82/1.46 tff(formula18, axiom,
% 1.82/1.46 compose($i!val!0, $i!val!1) = $i!val!4).
% 1.82/1.46 tff(formula19, axiom,
% 1.82/1.46 compose($i!val!3, $i!val!4) = $i!val!7).
% 1.82/1.46 tff(formula20, axiom,
% 1.82/1.46 compose($i!val!6, $i!val!4) = $i!val!7).
% 1.82/1.46 tff(formula21, axiom,
% 1.82/1.46 compose($i!val!2, $i!val!1) = $i!val!1).
% 1.82/1.46 tff(formula22, axiom,
% 1.82/1.46 compose($i!val!5, $i!val!4) = $i!val!4).
% 1.82/1.46 tff(formula23, axiom,
% 1.82/1.46 compose($i!val!0, $i!val!2) = $i!val!0).
% 1.82/1.46 tff(formula24, axiom,
% 1.82/1.46 compose($i!val!3, $i!val!5) = $i!val!3).
% 1.82/1.46 tff(formula25, axiom,
% 1.82/1.46 compose($i!val!6, $i!val!5) = $i!val!6).
% 1.82/1.46 tff(formula26, axiom,
% 1.82/1.46 compose($i!val!3, $i!val!0) = $i!val!11).
% 1.82/1.46 tff(formula27, axiom,
% 1.82/1.46 compose($i!val!6, $i!val!0) = $i!val!10).
% 1.82/1.46 tff(formula28, axiom,
% 1.82/1.46 compose($i!val!2, $i!val!2) = $i!val!2).
% 1.82/1.46 tff(formula29, axiom,
% 1.82/1.46 compose($i!val!5, $i!val!5) = $i!val!5).
% 1.82/1.46 tff(formula30, axiom,
% 1.82/1.46 compose($i!val!1, $i!val!8) = $i!val!1).
% 1.82/1.46 tff(formula31, axiom,
% 1.82/1.46 compose($i!val!4, $i!val!8) = $i!val!4).
% 1.82/1.46 tff(formula32, axiom,
% 1.82/1.46 compose($i!val!7, $i!val!8) = $i!val!7).
% 1.82/1.46 tff(formula33, axiom,
% 1.82/1.46 compose($i!val!5, $i!val!0) = $i!val!0).
% 1.82/1.46 tff(formula34, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!3) = $i!val!3).
% 1.82/1.46 tff(formula35, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!7) = $i!val!7).
% 1.82/1.46 tff(formula36, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!6) = $i!val!6).
% 1.82/1.46 tff(formula37, axiom,
% 1.82/1.46 compose($i!val!8, $i!val!8) = $i!val!8).
% 1.82/1.46 tff(formula38, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!9) = $i!val!9).
% 1.82/1.46 tff(formula39, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!10) = $i!val!10).
% 1.82/1.46 tff(formula40, axiom,
% 1.82/1.46 compose($i!val!9, $i!val!11) = $i!val!11).
% 1.82/1.46 tff(formula41, axiom,
% 1.82/1.46 compose($i!val!11, $i!val!1) = $i!val!7).
% 1.82/1.46 tff(formula42, axiom,
% 1.82/1.46 compose($i!val!11, $i!val!2) = $i!val!11).
% 1.82/1.46 tff(formula43, axiom,
% 1.82/1.46 compose($i!val!10, $i!val!2) = $i!val!10).
% 1.82/1.46 tff(formula44, axiom,
% 1.82/1.46 compose($i!val!10, $i!val!1) = $i!val!7).
% 1.82/1.46 tff(formula45, axiom,
% 1.82/1.46 compose($i!val!11, $i!val!0) = $i!val!12).
% 1.82/1.46 tff(formula46, axiom,
% 1.82/1.46 compose($i!val!3, $i!val!1) = $i!val!13).
% 1.82/1.46 tff(formula47, axiom,
% 1.82/1.46 compose($i!val!0, $i!val!0) = $i!val!14).
% 1.82/1.46 tff(formula48, axiom,
% 1.82/1.46 compose($i!val!6, $i!val!1) = $i!val!15).
% 1.82/1.46 tff(formula49, axiom,
% 1.82/1.46 compose($i!val!2, $i!val!0) = $i!val!16).
% 1.82/1.46 tff(formula50, axiom,
% 1.82/1.46 compose($i!val!5, $i!val!1) = $i!val!17).
% 1.82/1.46 tff(formula51, axiom,
% 1.82/1.46 compose($i!val!10, $i!val!0) = $i!val!18).
% 1.82/1.46 tff(formula52, axiom,
% 1.82/1.46 ![X0: $i, X1: $i] : ((~((($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!3 = X0) & ($i!val!4 = X1)) | (($i!val!6 = X0) & ($i!val!4 = X1)) | (($i!val!2 = X0) & ($i!val!1 = X1)) | (($i!val!5 = X0) & ($i!val!4 = X1)) | (($i!val!0 = X0) & ($i!val!2 = X1)) | (($i!val!3 = X0) & ($i!val!5 = X1)) | (($i!val!6 = X0) & ($i!val!5 = X1)) | (($i!val!3 = X0) & ($i!val!0 = X1)) | (($i!val!6 = X0) & ($i!val!0 = X1)) | (($i!val!2 = X0) & ($i!val!2 = X1)) | (($i!val!5 = X0) & ($i!val!5 = X1)) | (($i!val!1 = X0) & ($i!val!8 = X1)) | (($i!val!4 = X0) & ($i!val!8 = X1)) | (($i!val!7 = X0) & ($i!val!8 = X1)) | (($i!val!5 = X0) & ($i!val!0 = X1)) | (($i!val!9 = X0) & ($i!val!3 = X1)) | (($i!val!9 = X0) & ($i!val!7 = X1)) | (($i!val!9 = X0) & ($i!val!6 = X1)) | (($i!val!8 = X0) & ($i!val!8 = X1)) | (($i!val!9 = X0) & ($i!val!9 = X1)) | (($i!val!9 = X0) & ($i!val!10 = X1)) | (($i!val!9 = X0) & ($i!val!11 = X1)) | (($i!val!11 = X0) & ($i!val!1 = X1)) | (($i!val!11 = X0) & ($i!val!2 = X1)) | (($i!val!10 = X0) & ($i!val!2 = X1)) | (($i!val!10 = X0) & ($i!val!1 = X1)) | (($i!val!11 = X0) & ($i!val!0 = X1)) | (($i!val!3 = X0) & ($i!val!1 = X1)) | (($i!val!0 = X0) & ($i!val!0 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!0 = X1)) | (($i!val!5 = X0) & ($i!val!1 = X1)) | (($i!val!10 = X0) & ($i!val!0 = X1)))) => (compose(X0, X1) = ite_t((X0 = codomain(X1)), X1, X0)))).
% 1.82/1.46 tff(formula53, axiom,
% 1.82/1.46 ![X0: $i] : (domain(X0) = ite_t((k!88(X0) = $i!val!11), $i!val!9, ite_t((k!88(X0) = $i!val!10), $i!val!9, ite_t((k!88(X0) = $i!val!9), $i!val!9, ite_t((k!88(X0) = $i!val!8), $i!val!8, ite_t((k!88(X0) = $i!val!6), $i!val!9, ite_t((k!88(X0) = $i!val!3), $i!val!9, ite_t((k!88(X0) = $i!val!7), $i!val!9, ite_t((k!88(X0) = $i!val!0), $i!val!5, ite_t((k!88(X0) = $i!val!5), $i!val!5, ite_t((k!88(X0) = $i!val!2), $i!val!2, ite_t((k!88(X0) = $i!val!4), $i!val!5, ite_t((k!88(X0) = $i!val!1), $i!val!2, $i!val!16)))))))))))))).
% 1.82/1.46 % SZS output end Model
%------------------------------------------------------------------------------