TSTP Solution File: SYN541-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN541-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 23:56:19 EDT 2022
% Result : Satisfiable 0.21s 0.52s
% Output : Model 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN541-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.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 : Mon Sep 5 05:41:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.52 % SZS status Satisfiable
% 0.21/0.52 % SZS output start Model
% 0.21/0.52 tff(tptp_fun__i_val_12_type, type, (
% 0.21/0.52 tptp_fun__i_val_12: $i)).
% 0.21/0.52 tff(a737_type, type, (
% 0.21/0.52 a737: $i)).
% 0.21/0.52 tff(ssSkC3_type, type, (
% 0.21/0.52 ssSkC3: $o)).
% 0.21/0.52 tff(tptp_fun__i_val_1_type, type, (
% 0.21/0.52 tptp_fun__i_val_1: $i)).
% 0.21/0.52 tff(a733_type, type, (
% 0.21/0.52 a733: $i)).
% 0.21/0.52 tff(a754_type, type, (
% 0.21/0.52 a754: $i)).
% 0.21/0.52 tff(ssSkC6_type, type, (
% 0.21/0.52 ssSkC6: $o)).
% 0.21/0.52 tff(tptp_fun__i_val_15_type, type, (
% 0.21/0.52 tptp_fun__i_val_15: $i)).
% 0.21/0.52 tff(a738_type, type, (
% 0.21/0.52 a738: $i)).
% 0.21/0.52 tff(a746_type, type, (
% 0.21/0.52 a746: $i)).
% 0.21/0.52 tff(a747_type, type, (
% 0.21/0.52 a747: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_11_type, type, (
% 0.21/0.52 tptp_fun__i_val_11: $i)).
% 0.21/0.52 tff(a736_type, type, (
% 0.21/0.52 a736: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_2_type, type, (
% 0.21/0.52 tptp_fun__i_val_2: $i)).
% 0.21/0.52 tff(a750_type, type, (
% 0.21/0.52 a750: $i)).
% 0.21/0.52 tff(a739_type, type, (
% 0.21/0.52 a739: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_4_type, type, (
% 0.21/0.52 tptp_fun__i_val_4: $i)).
% 0.21/0.52 tff(a742_type, type, (
% 0.21/0.52 a742: $i)).
% 0.21/0.52 tff(a769_type, type, (
% 0.21/0.52 a769: $i)).
% 0.21/0.52 tff(ssSkC7_type, type, (
% 0.21/0.52 ssSkC7: $o)).
% 0.21/0.52 tff(tptp_fun__i_val_13_type, type, (
% 0.21/0.52 tptp_fun__i_val_13: $i)).
% 0.21/0.52 tff(a755_type, type, (
% 0.21/0.52 a755: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_10_type, type, (
% 0.21/0.52 tptp_fun__i_val_10: $i)).
% 0.21/0.52 tff(a743_type, type, (
% 0.21/0.52 a743: $i)).
% 0.21/0.52 tff(a735_type, type, (
% 0.21/0.52 a735: $i)).
% 0.21/0.52 tff(a765_type, type, (
% 0.21/0.52 a765: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_5_type, type, (
% 0.21/0.52 tptp_fun__i_val_5: $i)).
% 0.21/0.52 tff(a734_type, type, (
% 0.21/0.52 a734: $i)).
% 0.21/0.52 tff(a766_type, type, (
% 0.21/0.52 a766: $i)).
% 0.21/0.52 tff(c4_0_type, type, (
% 0.21/0.52 c4_0: $o)).
% 0.21/0.52 tff(a730_type, type, (
% 0.21/0.52 a730: $i)).
% 0.21/0.52 tff(a726_type, type, (
% 0.21/0.52 a726: $i)).
% 0.21/0.52 tff(a729_type, type, (
% 0.21/0.52 a729: $i)).
% 0.21/0.52 tff(c3_0_type, type, (
% 0.21/0.52 c3_0: $o)).
% 0.21/0.52 tff(tptp_fun__i_val_14_type, type, (
% 0.21/0.52 tptp_fun__i_val_14: $i)).
% 0.21/0.52 tff(a763_type, type, (
% 0.21/0.52 a763: $i)).
% 0.21/0.52 tff(ssSkC4_type, type, (
% 0.21/0.52 ssSkC4: $o)).
% 0.21/0.52 tff(a774_type, type, (
% 0.21/0.52 a774: $i)).
% 0.21/0.52 tff(ssSkC2_type, type, (
% 0.21/0.52 ssSkC2: $o)).
% 0.21/0.52 tff(ssSkC0_type, type, (
% 0.21/0.52 ssSkC0: $o)).
% 0.21/0.52 tff(a759_type, type, (
% 0.21/0.52 a759: $i)).
% 0.21/0.52 tff(a732_type, type, (
% 0.21/0.52 a732: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_3_type, type, (
% 0.21/0.52 tptp_fun__i_val_3: $i)).
% 0.21/0.52 tff(a744_type, type, (
% 0.21/0.52 a744: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_6_type, type, (
% 0.21/0.52 tptp_fun__i_val_6: $i)).
% 0.21/0.52 tff(a771_type, type, (
% 0.21/0.52 a771: $i)).
% 0.21/0.52 tff(a761_type, type, (
% 0.21/0.52 a761: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_0_type, type, (
% 0.21/0.52 tptp_fun__i_val_0: $i)).
% 0.21/0.52 tff(a731_type, type, (
% 0.21/0.52 a731: $i)).
% 0.21/0.52 tff(a764_type, type, (
% 0.21/0.52 a764: $i)).
% 0.21/0.52 tff(a740_type, type, (
% 0.21/0.52 a740: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_7_type, type, (
% 0.21/0.52 tptp_fun__i_val_7: $i)).
% 0.21/0.52 tff(a757_type, type, (
% 0.21/0.52 a757: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_9_type, type, (
% 0.21/0.52 tptp_fun__i_val_9: $i)).
% 0.21/0.52 tff(a745_type, type, (
% 0.21/0.52 a745: $i)).
% 0.21/0.52 tff(a756_type, type, (
% 0.21/0.52 a756: $i)).
% 0.21/0.52 tff(c1_0_type, type, (
% 0.21/0.52 c1_0: $o)).
% 0.21/0.52 tff(a772_type, type, (
% 0.21/0.52 a772: $i)).
% 0.21/0.52 tff(a753_type, type, (
% 0.21/0.52 a753: $i)).
% 0.21/0.52 tff(c2_0_type, type, (
% 0.21/0.52 c2_0: $o)).
% 0.21/0.52 tff(ssSkC5_type, type, (
% 0.21/0.52 ssSkC5: $o)).
% 0.21/0.52 tff(a758_type, type, (
% 0.21/0.52 a758: $i)).
% 0.21/0.52 tff(ssSkC1_type, type, (
% 0.21/0.52 ssSkC1: $o)).
% 0.21/0.52 tff(a752_type, type, (
% 0.21/0.52 a752: $i)).
% 0.21/0.52 tff(a762_type, type, (
% 0.21/0.52 a762: $i)).
% 0.21/0.52 tff(tptp_fun__i_val_8_type, type, (
% 0.21/0.52 tptp_fun__i_val_8: $i)).
% 0.21/0.52 tff(a773_type, type, (
% 0.21/0.52 a773: $i)).
% 0.21/0.52 tff(c5_0_type, type, (
% 0.21/0.52 c5_0: $o)).
% 0.21/0.52 tff(ndr1_0_type, type, (
% 0.21/0.52 ndr1_0: $o)).
% 0.21/0.52 tff(k!520_type, type, (
% 0.21/0.52 k!520: $i > $i)).
% 0.21/0.52 tff(c5_2_type, type, (
% 0.21/0.52 c5_2: ( $i * $i ) > $o)).
% 0.21/0.52 tff(c4_1_type, type, (
% 0.21/0.52 c4_1: $i > $o)).
% 0.21/0.52 tff(c5_1_type, type, (
% 0.21/0.52 c5_1: $i > $o)).
% 0.21/0.52 tff(c1_1_type, type, (
% 0.21/0.52 c1_1: $i > $o)).
% 0.21/0.52 tff(c2_1_type, type, (
% 0.21/0.52 c2_1: $i > $o)).
% 0.21/0.52 tff(c3_1_type, type, (
% 0.21/0.52 c3_1: $i > $o)).
% 0.21/0.52 tff(c3_2_type, type, (
% 0.21/0.52 c3_2: ( $i * $i ) > $o)).
% 0.21/0.52 tff(c2_2_type, type, (
% 0.21/0.52 c2_2: ( $i * $i ) > $o)).
% 0.21/0.52 tff(ssSkP0_type, type, (
% 0.21/0.52 ssSkP0: $i > $o)).
% 0.21/0.52 tff(c4_2_type, type, (
% 0.21/0.52 c4_2: ( $i * $i ) > $o)).
% 0.21/0.52 tff(c1_2_type, type, (
% 0.21/0.52 c1_2: ( $i * $i ) > $o)).
% 0.21/0.52 tff(ndr1_1_type, type, (
% 0.21/0.52 ndr1_1: $i > $o)).
% 0.21/0.52 tff(formula1, axiom,
% 0.21/0.52 a737 = $i!val!12).
% 0.21/0.52 tff(formula2, axiom,
% 0.21/0.52 ssSkC3 <=> $true).
% 0.21/0.52 tff(formula3, axiom,
% 0.21/0.52 a733 = $i!val!1).
% 0.21/0.52 tff(formula4, axiom,
% 0.21/0.52 a754 = $i!val!1).
% 0.21/0.52 tff(formula5, axiom,
% 0.21/0.52 ssSkC6 <=> $false).
% 0.21/0.52 tff(formula6, axiom,
% 0.21/0.52 a738 = $i!val!15).
% 0.21/0.52 tff(formula7, axiom,
% 0.21/0.52 a746 = $i!val!1).
% 0.21/0.52 tff(formula8, axiom,
% 0.21/0.52 a747 = $i!val!1).
% 0.21/0.52 tff(formula9, axiom,
% 0.21/0.52 a736 = $i!val!11).
% 0.21/0.52 tff(formula10, axiom,
% 0.21/0.52 a750 = $i!val!2).
% 0.21/0.52 tff(formula11, axiom,
% 0.21/0.52 a739 = $i!val!1).
% 0.21/0.52 tff(formula12, axiom,
% 0.21/0.52 a742 = $i!val!4).
% 0.21/0.52 tff(formula13, axiom,
% 0.21/0.52 a769 = $i!val!1).
% 0.21/0.52 tff(formula14, axiom,
% 0.21/0.52 ssSkC7 <=> $false).
% 0.21/0.52 tff(formula15, axiom,
% 0.21/0.52 a755 = $i!val!13).
% 0.21/0.52 tff(formula16, axiom,
% 0.21/0.52 a743 = $i!val!10).
% 0.21/0.52 tff(formula17, axiom,
% 0.21/0.52 a735 = $i!val!1).
% 0.21/0.52 tff(formula18, axiom,
% 0.21/0.52 a765 = $i!val!1).
% 0.21/0.52 tff(formula19, axiom,
% 0.21/0.52 a734 = $i!val!5).
% 0.21/0.52 tff(formula20, axiom,
% 0.21/0.52 a766 = $i!val!1).
% 0.21/0.52 tff(formula21, axiom,
% 0.21/0.52 c4_0 <=> $false).
% 0.21/0.52 tff(formula22, axiom,
% 0.21/0.52 a730 = $i!val!1).
% 0.21/0.52 tff(formula23, axiom,
% 0.21/0.52 a726 = $i!val!1).
% 0.21/0.52 tff(formula24, axiom,
% 0.21/0.52 a729 = $i!val!1).
% 0.21/0.52 tff(formula25, axiom,
% 0.21/0.52 c3_0 <=> $false).
% 0.21/0.52 tff(formula26, axiom,
% 0.21/0.52 a763 = $i!val!14).
% 0.21/0.52 tff(formula27, axiom,
% 0.21/0.52 ssSkC4 <=> $true).
% 0.21/0.52 tff(formula28, axiom,
% 0.21/0.52 a774 = $i!val!1).
% 0.21/0.52 tff(formula29, axiom,
% 0.21/0.52 ssSkC2 <=> $true).
% 0.21/0.52 tff(formula30, axiom,
% 0.21/0.52 ssSkC0 <=> $true).
% 0.21/0.52 tff(formula31, axiom,
% 0.21/0.52 a759 = $i!val!1).
% 0.21/0.52 tff(formula32, axiom,
% 0.21/0.52 a732 = $i!val!1).
% 0.21/0.52 tff(formula33, axiom,
% 0.21/0.52 a744 = $i!val!3).
% 0.21/0.52 tff(formula34, axiom,
% 0.21/0.52 a771 = $i!val!6).
% 0.21/0.52 tff(formula35, axiom,
% 0.21/0.52 a761 = $i!val!1).
% 0.21/0.52 tff(formula36, axiom,
% 0.21/0.52 a731 = $i!val!0).
% 0.21/0.52 tff(formula37, axiom,
% 0.21/0.52 a764 = $i!val!1).
% 0.21/0.52 tff(formula38, axiom,
% 0.21/0.52 a740 = $i!val!1).
% 0.21/0.52 tff(formula39, axiom,
% 0.21/0.52 a757 = $i!val!7).
% 0.21/0.52 tff(formula40, axiom,
% 0.21/0.52 a745 = $i!val!9).
% 0.21/0.52 tff(formula41, axiom,
% 0.21/0.52 a756 = $i!val!1).
% 0.21/0.52 tff(formula42, axiom,
% 0.21/0.52 c1_0 <=> $false).
% 0.21/0.52 tff(formula43, axiom,
% 0.21/0.52 a772 = $i!val!1).
% 0.21/0.52 tff(formula44, axiom,
% 0.21/0.52 a753 = $i!val!1).
% 0.21/0.52 tff(formula45, axiom,
% 0.21/0.52 c2_0 <=> $false).
% 0.21/0.52 tff(formula46, axiom,
% 0.21/0.52 ssSkC5 <=> $false).
% 0.21/0.52 tff(formula47, axiom,
% 0.21/0.52 a758 = $i!val!1).
% 0.21/0.52 tff(formula48, axiom,
% 0.21/0.52 ssSkC1 <=> $false).
% 0.21/0.52 tff(formula49, axiom,
% 0.21/0.52 a752 = $i!val!1).
% 0.21/0.52 tff(formula50, axiom,
% 0.21/0.52 a762 = $i!val!1).
% 0.21/0.52 tff(formula51, axiom,
% 0.21/0.52 a773 = $i!val!8).
% 0.21/0.52 tff(formula52, axiom,
% 0.21/0.52 c5_0 <=> $false).
% 0.21/0.52 tff(formula53, axiom,
% 0.21/0.52 ndr1_0 <=> $true).
% 0.21/0.52 tff(formula54, axiom,
% 0.21/0.52 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((k!520(X1) = $i!val!1) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!13), $i!val!13, $i!val!8)))) = $i!val!8)))).
% 0.21/0.52 tff(formula55, axiom,
% 0.21/0.52 ![X0: $i] : (c4_1(X0) <=> ((k!520(X0) = $i!val!0) | (k!520(X0) = $i!val!5) | (k!520(X0) = $i!val!6)))).
% 0.21/0.52 tff(formula56, axiom,
% 0.21/0.52 ![X0: $i] : (c5_1(X0) <=> (k!520(X0) = $i!val!1))).
% 0.21/0.52 tff(formula57, axiom,
% 0.21/0.52 ![X0: $i] : (c1_1(X0) <=> $false)).
% 0.21/0.52 tff(formula58, axiom,
% 0.21/0.52 ![X0: $i] : (c2_1(X0) <=> ((k!520(X0) = $i!val!0) | (k!520(X0) = $i!val!1)))).
% 0.21/0.52 tff(formula59, axiom,
% 0.21/0.52 ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.21/0.52 tff(formula60, axiom,
% 0.21/0.52 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!520(X1) = $i!val!15) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!13), $i!val!13, $i!val!8)))) = $i!val!13)) | ((k!520(X1) = $i!val!0) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!13), $i!val!13, $i!val!8)))) = $i!val!13)) | ((k!520(X1) = $i!val!14) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!13), $i!val!13, $i!val!8)))) = $i!val!13)) | ((k!520(X1) = $i!val!5) & (ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!12), $i!val!12, ite_t((X0 = $i!val!13), $i!val!13, $i!val!8)))) = $i!val!13))))).
% 0.21/0.53 tff(formula61, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)).
% 0.21/0.53 tff(formula62, axiom,
% 0.21/0.53 ![X0: $i] : (ssSkP0(X0) <=> ((k!520(X0) = $i!val!2) | (k!520(X0) = $i!val!3) | (k!520(X0) = $i!val!1) | (k!520(X0) = $i!val!11) | (k!520(X0) = $i!val!7) | (k!520(X0) = $i!val!4) | (k!520(X0) = $i!val!6)))).
% 0.21/0.53 tff(formula63, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.21/0.53 tff(formula64, axiom,
% 0.21/0.53 k!520($i!val!14) = $i!val!14).
% 0.21/0.53 tff(formula65, axiom,
% 0.21/0.53 k!520($i!val!1) = $i!val!1).
% 0.21/0.53 tff(formula66, axiom,
% 0.21/0.53 k!520($i!val!2) = $i!val!2).
% 0.21/0.53 tff(formula67, axiom,
% 0.21/0.53 k!520($i!val!0) = $i!val!0).
% 0.21/0.53 tff(formula68, axiom,
% 0.21/0.53 k!520($i!val!4) = $i!val!4).
% 0.21/0.53 tff(formula69, axiom,
% 0.21/0.53 k!520($i!val!6) = $i!val!6).
% 0.21/0.53 tff(formula70, axiom,
% 0.21/0.53 k!520($i!val!15) = $i!val!15).
% 0.21/0.53 tff(formula71, axiom,
% 0.21/0.53 k!520($i!val!5) = $i!val!5).
% 0.21/0.53 tff(formula72, axiom,
% 0.21/0.53 k!520($i!val!7) = $i!val!7).
% 0.21/0.53 tff(formula73, axiom,
% 0.21/0.53 k!520($i!val!11) = $i!val!11).
% 0.21/0.53 tff(formula74, axiom,
% 0.21/0.53 ![X0: $i] : ((~((($i!val!14 = X0)) | (($i!val!1 = X0)) | (($i!val!2 = X0)) | (($i!val!0 = X0)) | (($i!val!4 = X0)) | (($i!val!6 = X0)) | (($i!val!15 = X0)) | (($i!val!5 = X0)) | (($i!val!7 = X0)) | (($i!val!11 = X0)))) => (k!520(X0) = $i!val!3))).
% 0.21/0.53 tff(formula75, axiom,
% 0.21/0.53 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)).
% 0.21/0.53 tff(formula76, axiom,
% 0.21/0.53 ![X0: $i] : (ndr1_1(X0) <=> ((k!520(X0) = $i!val!15) | (k!520(X0) = $i!val!1) | (k!520(X0) = $i!val!0) | (k!520(X0) = $i!val!14) | (k!520(X0) = $i!val!5)))).
% 0.21/0.53 % SZS output end Model
%------------------------------------------------------------------------------