TSTP Solution File: SYN521-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN521-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n029.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 23:56:10 EDT 2022
% Result : Satisfiable 0.21s 0.47s
% Output : Model 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN521-1 : TPTP v8.1.0. Released v2.1.0.
% 0.08/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Sep 5 05:14:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.21/0.47 % SZS status Satisfiable
% 0.21/0.47 % SZS output start Model
% 0.21/0.47 tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.47 tptp_fun__i_val_1: $i)).
% 0.21/0.47 tff(a88_type, type, (
% 0.21/0.47 a88: $i)).
% 0.21/0.47 tff(a100_type, type, (
% 0.21/0.47 a100: $i)).
% 0.21/0.47 tff(ssSkC4_type, type, (
% 0.21/0.47 ssSkC4: $o)).
% 0.21/0.47 tff(ssSkC3_type, type, (
% 0.21/0.47 ssSkC3: $o)).
% 0.21/0.47 tff(ndr1_0_type, type, (
% 0.21/0.47 ndr1_0: $o)).
% 0.21/0.47 tff(a78_type, type, (
% 0.21/0.47 a78: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.47 tptp_fun__i_val_9: $i)).
% 0.21/0.47 tff(a85_type, type, (
% 0.21/0.47 a85: $i)).
% 0.21/0.47 tff(ssSkC2_type, type, (
% 0.21/0.47 ssSkC2: $o)).
% 0.21/0.47 tff(ssSkC0_type, type, (
% 0.21/0.47 ssSkC0: $o)).
% 0.21/0.47 tff(a91_type, type, (
% 0.21/0.47 a91: $i)).
% 0.21/0.47 tff(a101_type, type, (
% 0.21/0.47 a101: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.47 tptp_fun__i_val_2: $i)).
% 0.21/0.47 tff(a80_type, type, (
% 0.21/0.47 a80: $i)).
% 0.21/0.47 tff(a79_type, type, (
% 0.21/0.47 a79: $i)).
% 0.21/0.47 tff(a81_type, type, (
% 0.21/0.47 a81: $i)).
% 0.21/0.47 tff(c1_0_type, type, (
% 0.21/0.47 c1_0: $o)).
% 0.21/0.47 tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.47 tptp_fun__i_val_0: $i)).
% 0.21/0.47 tff(a93_type, type, (
% 0.21/0.47 a93: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.47 tptp_fun__i_val_5: $i)).
% 0.21/0.47 tff(a70_type, type, (
% 0.21/0.47 a70: $i)).
% 0.21/0.47 tff(c2_0_type, type, (
% 0.21/0.47 c2_0: $o)).
% 0.21/0.47 tff(ssSkC5_type, type, (
% 0.21/0.47 ssSkC5: $o)).
% 0.21/0.47 tff(a102_type, type, (
% 0.21/0.47 a102: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.47 tptp_fun__i_val_6: $i)).
% 0.21/0.47 tff(a94_type, type, (
% 0.21/0.47 a94: $i)).
% 0.21/0.47 tff(a97_type, type, (
% 0.21/0.47 a97: $i)).
% 0.21/0.47 tff(a92_type, type, (
% 0.21/0.47 a92: $i)).
% 0.21/0.47 tff(ssSkC1_type, type, (
% 0.21/0.47 ssSkC1: $o)).
% 0.21/0.47 tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.47 tptp_fun__i_val_8: $i)).
% 0.21/0.47 tff(a89_type, type, (
% 0.21/0.47 a89: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.47 tptp_fun__i_val_10: $i)).
% 0.21/0.47 tff(a83_type, type, (
% 0.21/0.47 a83: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_13_type, type, (
% 0.21/0.47 tptp_fun__i_val_13: $i)).
% 0.21/0.47 tff(a77_type, type, (
% 0.21/0.47 a77: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.47 tptp_fun__i_val_7: $i)).
% 0.21/0.47 tff(a90_type, type, (
% 0.21/0.47 a90: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.47 tptp_fun__i_val_4: $i)).
% 0.21/0.47 tff(a82_type, type, (
% 0.21/0.47 a82: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_12_type, type, (
% 0.21/0.47 tptp_fun__i_val_12: $i)).
% 0.21/0.47 tff(a72_type, type, (
% 0.21/0.47 a72: $i)).
% 0.21/0.47 tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.47 tptp_fun__i_val_3: $i)).
% 0.21/0.47 tff(a95_type, type, (
% 0.21/0.47 a95: $i)).
% 0.21/0.47 tff(c5_0_type, type, (
% 0.21/0.47 c5_0: $o)).
% 0.21/0.47 tff(c4_0_type, type, (
% 0.21/0.47 c4_0: $o)).
% 0.21/0.47 tff(tptp_fun__i_val_11_type, type, (
% 0.21/0.47 tptp_fun__i_val_11: $i)).
% 0.21/0.47 tff(a84_type, type, (
% 0.21/0.47 a84: $i)).
% 0.21/0.47 tff(c3_0_type, type, (
% 0.21/0.47 c3_0: $o)).
% 0.21/0.47 tff(c5_2_type, type, (
% 0.21/0.47 c5_2: ( $i * $i ) > $o)).
% 0.21/0.47 tff(c4_1_type, type, (
% 0.21/0.47 c4_1: $i > $o)).
% 0.21/0.47 tff(c1_1_type, type, (
% 0.21/0.47 c1_1: $i > $o)).
% 0.21/0.47 tff(c2_1_type, type, (
% 0.21/0.47 c2_1: $i > $o)).
% 0.21/0.47 tff(c3_1_type, type, (
% 0.21/0.47 c3_1: $i > $o)).
% 0.21/0.47 tff(c3_2_type, type, (
% 0.21/0.47 c3_2: ( $i * $i ) > $o)).
% 0.21/0.47 tff(c2_2_type, type, (
% 0.21/0.47 c2_2: ( $i * $i ) > $o)).
% 0.21/0.47 tff(ssSkP0_type, type, (
% 0.21/0.47 ssSkP0: $i > $o)).
% 0.21/0.47 tff(c4_2_type, type, (
% 0.21/0.47 c4_2: ( $i * $i ) > $o)).
% 0.21/0.47 tff(c1_2_type, type, (
% 0.21/0.47 c1_2: ( $i * $i ) > $o)).
% 0.21/0.47 tff(ndr1_1_type, type, (
% 0.21/0.47 ndr1_1: $i > $o)).
% 0.21/0.47 tff(formula1, axiom,
% 0.21/0.47 a88 = $i!val!1).
% 0.21/0.47 tff(formula2, axiom,
% 0.21/0.47 a100 = $i!val!1).
% 0.21/0.47 tff(formula3, axiom,
% 0.21/0.47 ssSkC4 <=> $true).
% 0.21/0.47 tff(formula4, axiom,
% 0.21/0.47 ssSkC3 <=> $false).
% 0.21/0.47 tff(formula5, axiom,
% 0.21/0.47 ndr1_0 <=> $true).
% 0.21/0.47 tff(formula6, axiom,
% 0.21/0.47 a78 = $i!val!1).
% 0.21/0.47 tff(formula7, axiom,
% 0.21/0.47 a85 = $i!val!9).
% 0.21/0.47 tff(formula8, axiom,
% 0.21/0.47 ssSkC2 <=> $false).
% 0.21/0.47 tff(formula9, axiom,
% 0.21/0.47 ssSkC0 <=> $true).
% 0.21/0.47 tff(formula10, axiom,
% 0.21/0.47 a91 = $i!val!1).
% 0.21/0.47 tff(formula11, axiom,
% 0.21/0.47 a101 = $i!val!1).
% 0.21/0.47 tff(formula12, axiom,
% 0.21/0.47 a80 = $i!val!2).
% 0.21/0.47 tff(formula13, axiom,
% 0.21/0.47 a79 = $i!val!1).
% 0.21/0.47 tff(formula14, axiom,
% 0.21/0.47 a81 = $i!val!1).
% 0.21/0.47 tff(formula15, axiom,
% 0.21/0.47 c1_0 <=> $false).
% 0.21/0.47 tff(formula16, axiom,
% 0.21/0.47 a93 = $i!val!0).
% 0.21/0.47 tff(formula17, axiom,
% 0.21/0.47 a70 = $i!val!5).
% 0.21/0.47 tff(formula18, axiom,
% 0.21/0.47 c2_0 <=> $false).
% 0.21/0.47 tff(formula19, axiom,
% 0.21/0.47 ssSkC5 <=> $false).
% 0.21/0.47 tff(formula20, axiom,
% 0.21/0.47 a102 = $i!val!1).
% 0.21/0.47 tff(formula21, axiom,
% 0.21/0.47 a94 = $i!val!6).
% 0.21/0.47 tff(formula22, axiom,
% 0.21/0.47 a97 = $i!val!1).
% 0.21/0.47 tff(formula23, axiom,
% 0.21/0.47 a92 = $i!val!1).
% 0.21/0.47 tff(formula24, axiom,
% 0.21/0.47 ssSkC1 <=> $true).
% 0.21/0.47 tff(formula25, axiom,
% 0.21/0.47 a89 = $i!val!8).
% 0.21/0.47 tff(formula26, axiom,
% 0.21/0.47 a83 = $i!val!10).
% 0.21/0.47 tff(formula27, axiom,
% 0.21/0.47 a77 = $i!val!13).
% 0.21/0.47 tff(formula28, axiom,
% 0.21/0.47 a90 = $i!val!7).
% 0.21/0.47 tff(formula29, axiom,
% 0.21/0.47 a82 = $i!val!4).
% 0.21/0.47 tff(formula30, axiom,
% 0.21/0.47 a72 = $i!val!12).
% 0.21/0.48 tff(formula31, axiom,
% 0.21/0.48 a95 = $i!val!3).
% 0.21/0.48 tff(formula32, axiom,
% 0.21/0.48 c5_0 <=> $false).
% 0.21/0.48 tff(formula33, axiom,
% 0.21/0.48 c4_0 <=> $false).
% 0.21/0.48 tff(formula34, axiom,
% 0.21/0.48 a84 = $i!val!11).
% 0.21/0.48 tff(formula35, axiom,
% 0.21/0.48 c3_0 <=> $true).
% 0.21/0.48 tff(formula36, axiom,
% 0.21/0.48 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.21/0.48 tff(formula37, axiom,
% 0.21/0.48 ![X0: $i] : (c4_1(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!0))).
% 0.21/0.48 tff(formula38, axiom,
% 0.21/0.48 ![X0: $i] : (c1_1(X0) <=> (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!4))).
% 0.21/0.48 tff(formula39, axiom,
% 0.21/0.48 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.21/0.48 tff(formula40, axiom,
% 0.21/0.48 ![X0: $i] : (c3_1(X0) <=> (X0 = $i!val!0))).
% 0.21/0.48 tff(formula41, axiom,
% 0.21/0.48 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.21/0.48 tff(formula42, axiom,
% 0.21/0.48 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!0) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, $i!val!8)))) = $i!val!6)))).
% 0.21/0.48 tff(formula43, axiom,
% 0.21/0.48 ![X0: $i] : (ssSkP0(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!2) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!3) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!9) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!1) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!7) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!5)))).
% 0.21/0.48 tff(formula44, axiom,
% 0.21/0.48 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> ((ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!5), $i!val!5, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!13), $i!val!13, ite_t((X1 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!4) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, $i!val!8)))) = $i!val!10)))).
% 0.21/0.48 tff(formula45, axiom,
% 0.21/0.48 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.21/0.48 tff(formula46, axiom,
% 0.21/0.48 ![X0: $i] : (ndr1_1(X0) <=> ((ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!13) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!0) | (ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!5), $i!val!5, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!13), $i!val!13, ite_t((X0 = $i!val!2), $i!val!2, $i!val!1)))))))) = $i!val!4)))).
% 0.21/0.48 % SZS output end Model
%------------------------------------------------------------------------------