TSTP Solution File: SYN531-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN531-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 23:56:14 EDT 2022
% Result : Satisfiable 0.18s 0.44s
% Output : Model 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN531-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 05:36:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33 Usage: tptp [options] [-file:]file
% 0.13/0.33 -h, -? prints this message.
% 0.13/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.33 -m, -model generate model.
% 0.13/0.33 -p, -proof generate proof.
% 0.13/0.33 -c, -core generate unsat core of named formulas.
% 0.13/0.33 -st, -statistics display statistics.
% 0.13/0.33 -t:timeout set timeout (in second).
% 0.13/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33 -<param>:<value> configuration parameter and value.
% 0.13/0.33 -o:<output-file> file to place output in.
% 0.18/0.44 % SZS status Satisfiable
% 0.18/0.44 % SZS output start Model
% 0.18/0.44 tff(c3_0_type, type, (
% 0.18/0.44 c3_0: $o)).
% 0.18/0.44 tff(tptp_fun__i_val_0_type, type, (
% 0.18/0.44 tptp_fun__i_val_0: $i)).
% 0.18/0.44 tff(a407_type, type, (
% 0.18/0.44 a407: $i)).
% 0.18/0.44 tff(ssSkC4_type, type, (
% 0.18/0.44 ssSkC4: $o)).
% 0.18/0.44 tff(ssSkC3_type, type, (
% 0.18/0.44 ssSkC3: $o)).
% 0.18/0.44 tff(a405_type, type, (
% 0.18/0.44 a405: $i)).
% 0.18/0.44 tff(a388_type, type, (
% 0.18/0.44 a388: $i)).
% 0.18/0.44 tff(ndr1_0_type, type, (
% 0.18/0.44 ndr1_0: $o)).
% 0.18/0.44 tff(tptp_fun__i_val_3_type, type, (
% 0.18/0.44 tptp_fun__i_val_3: $i)).
% 0.18/0.44 tff(a399_type, type, (
% 0.18/0.44 a399: $i)).
% 0.18/0.44 tff(ssSkC2_type, type, (
% 0.18/0.44 ssSkC2: $o)).
% 0.18/0.44 tff(a400_type, type, (
% 0.18/0.44 a400: $i)).
% 0.18/0.44 tff(ssSkC0_type, type, (
% 0.18/0.44 ssSkC0: $o)).
% 0.18/0.44 tff(a391_type, type, (
% 0.18/0.44 a391: $i)).
% 0.18/0.44 tff(a410_type, type, (
% 0.18/0.44 a410: $i)).
% 0.18/0.44 tff(tptp_fun__i_val_4_type, type, (
% 0.18/0.44 tptp_fun__i_val_4: $i)).
% 0.18/0.44 tff(a387_type, type, (
% 0.18/0.44 a387: $i)).
% 0.18/0.44 tff(a408_type, type, (
% 0.18/0.44 a408: $i)).
% 0.18/0.44 tff(a398_type, type, (
% 0.18/0.44 a398: $i)).
% 0.18/0.44 tff(tptp_fun__i_val_5_type, type, (
% 0.18/0.44 tptp_fun__i_val_5: $i)).
% 0.18/0.44 tff(a389_type, type, (
% 0.18/0.44 a389: $i)).
% 0.18/0.44 tff(c1_0_type, type, (
% 0.18/0.44 c1_0: $o)).
% 0.18/0.44 tff(tptp_fun__i_val_2_type, type, (
% 0.18/0.44 tptp_fun__i_val_2: $i)).
% 0.18/0.44 tff(a390_type, type, (
% 0.18/0.44 a390: $i)).
% 0.18/0.44 tff(c2_0_type, type, (
% 0.18/0.44 c2_0: $o)).
% 0.18/0.44 tff(a403_type, type, (
% 0.18/0.44 a403: $i)).
% 0.18/0.44 tff(ssSkC1_type, type, (
% 0.18/0.44 ssSkC1: $o)).
% 0.18/0.44 tff(a404_type, type, (
% 0.18/0.44 a404: $i)).
% 0.18/0.44 tff(a406_type, type, (
% 0.18/0.44 a406: $i)).
% 0.18/0.44 tff(c5_0_type, type, (
% 0.18/0.44 c5_0: $o)).
% 0.18/0.44 tff(c4_0_type, type, (
% 0.18/0.44 c4_0: $o)).
% 0.18/0.44 tff(tptp_fun__i_val_1_type, type, (
% 0.18/0.44 tptp_fun__i_val_1: $i)).
% 0.18/0.44 tff(a392_type, type, (
% 0.18/0.44 a392: $i)).
% 0.18/0.44 tff(a409_type, type, (
% 0.18/0.44 a409: $i)).
% 0.18/0.44 tff(c5_2_type, type, (
% 0.18/0.44 c5_2: ( $i * $i ) > $o)).
% 0.18/0.44 tff(c4_1_type, type, (
% 0.18/0.44 c4_1: $i > $o)).
% 0.18/0.44 tff(c5_1_type, type, (
% 0.18/0.44 c5_1: $i > $o)).
% 0.18/0.44 tff(c1_1_type, type, (
% 0.18/0.44 c1_1: $i > $o)).
% 0.18/0.44 tff(c2_1_type, type, (
% 0.18/0.44 c2_1: $i > $o)).
% 0.18/0.44 tff(c3_1_type, type, (
% 0.18/0.44 c3_1: $i > $o)).
% 0.18/0.44 tff(c3_2_type, type, (
% 0.18/0.44 c3_2: ( $i * $i ) > $o)).
% 0.18/0.44 tff(ssSkP0_type, type, (
% 0.18/0.44 ssSkP0: $i > $o)).
% 0.18/0.44 tff(c2_2_type, type, (
% 0.18/0.44 c2_2: ( $i * $i ) > $o)).
% 0.18/0.44 tff(c4_2_type, type, (
% 0.18/0.44 c4_2: ( $i * $i ) > $o)).
% 0.18/0.44 tff(ndr1_1_type, type, (
% 0.18/0.44 ndr1_1: $i > $o)).
% 0.18/0.44 tff(c1_2_type, type, (
% 0.18/0.44 c1_2: ( $i * $i ) > $o)).
% 0.18/0.44 tff(formula1, axiom,
% 0.18/0.44 c3_0 <=> $false).
% 0.18/0.44 tff(formula2, axiom,
% 0.18/0.44 a407 = $i!val!0).
% 0.18/0.44 tff(formula3, axiom,
% 0.18/0.44 ssSkC4 <=> $false).
% 0.18/0.44 tff(formula4, axiom,
% 0.18/0.44 ssSkC3 <=> $false).
% 0.18/0.44 tff(formula5, axiom,
% 0.18/0.44 a405 = $i!val!0).
% 0.18/0.44 tff(formula6, axiom,
% 0.18/0.44 a388 = $i!val!0).
% 0.18/0.44 tff(formula7, axiom,
% 0.18/0.44 ndr1_0 <=> $true).
% 0.18/0.44 tff(formula8, axiom,
% 0.18/0.44 a399 = $i!val!3).
% 0.18/0.44 tff(formula9, axiom,
% 0.18/0.44 ssSkC2 <=> $false).
% 0.18/0.44 tff(formula10, axiom,
% 0.18/0.44 a400 = $i!val!0).
% 0.18/0.44 tff(formula11, axiom,
% 0.18/0.44 ssSkC0 <=> $true).
% 0.18/0.44 tff(formula12, axiom,
% 0.18/0.44 a391 = $i!val!0).
% 0.18/0.44 tff(formula13, axiom,
% 0.18/0.44 a410 = $i!val!0).
% 0.18/0.44 tff(formula14, axiom,
% 0.18/0.44 a387 = $i!val!4).
% 0.18/0.44 tff(formula15, axiom,
% 0.18/0.44 a408 = $i!val!0).
% 0.18/0.44 tff(formula16, axiom,
% 0.18/0.44 a398 = $i!val!0).
% 0.18/0.44 tff(formula17, axiom,
% 0.18/0.44 a389 = $i!val!5).
% 0.18/0.44 tff(formula18, axiom,
% 0.18/0.44 c1_0 <=> $false).
% 0.18/0.44 tff(formula19, axiom,
% 0.18/0.44 a390 = $i!val!2).
% 0.18/0.44 tff(formula20, axiom,
% 0.18/0.44 c2_0 <=> $false).
% 0.18/0.44 tff(formula21, axiom,
% 0.18/0.44 a403 = $i!val!0).
% 0.18/0.44 tff(formula22, axiom,
% 0.18/0.44 ssSkC1 <=> $false).
% 0.18/0.44 tff(formula23, axiom,
% 0.18/0.44 a404 = $i!val!0).
% 0.18/0.44 tff(formula24, axiom,
% 0.18/0.44 a406 = $i!val!0).
% 0.18/0.44 tff(formula25, axiom,
% 0.18/0.44 c5_0 <=> $false).
% 0.18/0.44 tff(formula26, axiom,
% 0.18/0.44 c4_0 <=> $true).
% 0.18/0.44 tff(formula27, axiom,
% 0.18/0.44 a392 = $i!val!1).
% 0.18/0.44 tff(formula28, axiom,
% 0.18/0.44 a409 = $i!val!0).
% 0.18/0.44 tff(formula29, axiom,
% 0.18/0.44 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!4) = $i!val!4)))).
% 0.18/0.44 tff(formula30, axiom,
% 0.18/0.44 ![X0: $i] : (c4_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!2))).
% 0.18/0.44 tff(formula31, axiom,
% 0.18/0.44 ![X0: $i] : (c5_1(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!3) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1)))).
% 0.18/0.44 tff(formula32, axiom,
% 0.18/0.44 ![X0: $i] : (c1_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1))).
% 0.18/0.45 tff(formula33, axiom,
% 0.18/0.45 ![X0: $i] : (c2_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0))).
% 0.18/0.45 tff(formula34, axiom,
% 0.18/0.45 ![X0: $i] : (c3_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1))).
% 0.18/0.45 tff(formula35, axiom,
% 0.18/0.45 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!4) = $i!val!4)))).
% 0.18/0.45 tff(formula36, axiom,
% 0.18/0.45 ![X0: $i] : (ssSkP0(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!2) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!3)))).
% 0.18/0.45 tff(formula37, axiom,
% 0.18/0.45 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!4) = $i!val!4)))).
% 0.18/0.45 tff(formula38, axiom,
% 0.18/0.45 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)).
% 0.18/0.45 tff(formula39, axiom,
% 0.18/0.45 ![X0: $i] : (ndr1_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1))).
% 0.18/0.45 tff(formula40, axiom,
% 0.18/0.45 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!1) & (ite_t((X0 = $i!val!5), $i!val!5, $i!val!4) = $i!val!5)))).
% 0.18/0.45 % SZS output end Model
%------------------------------------------------------------------------------