TSTP Solution File: SYN538+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN538+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 23:56:17 EDT 2022
% Result : CounterSatisfiable 0.19s 0.42s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN538+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 : n006.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 05:22:38 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.
% 0.19/0.42 % SZS status CounterSatisfiable
% 0.19/0.42 % SZS output start Model
% 0.19/0.42 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.42 tptp_fun__i_val_1: $i)).
% 0.19/0.42 tff(a550_type, type, (
% 0.19/0.42 a550: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_5_type, type, (
% 0.19/0.42 tptp_fun__i_val_5: $i)).
% 0.19/0.42 tff(a554_type, type, (
% 0.19/0.42 a554: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_3_type, type, (
% 0.19/0.42 tptp_fun__i_val_3: $i)).
% 0.19/0.42 tff(a552_type, type, (
% 0.19/0.42 a552: $i)).
% 0.19/0.42 tff(c1_0_type, type, (
% 0.19/0.42 c1_0: $o)).
% 0.19/0.42 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.42 tptp_fun__i_val_0: $i)).
% 0.19/0.42 tff(a546_type, type, (
% 0.19/0.42 a546: $i)).
% 0.19/0.42 tff(ndr1_0_type, type, (
% 0.19/0.42 ndr1_0: $o)).
% 0.19/0.42 tff(tptp_fun__i_val_9_type, type, (
% 0.19/0.42 tptp_fun__i_val_9: $i)).
% 0.19/0.42 tff(a578_type, type, (
% 0.19/0.42 a578: $i)).
% 0.19/0.42 tff(c2_0_type, type, (
% 0.19/0.42 c2_0: $o)).
% 0.19/0.42 tff(tptp_fun__i_val_4_type, type, (
% 0.19/0.42 tptp_fun__i_val_4: $i)).
% 0.19/0.42 tff(a553_type, type, (
% 0.19/0.42 a553: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_7_type, type, (
% 0.19/0.42 tptp_fun__i_val_7: $i)).
% 0.19/0.42 tff(a574_type, type, (
% 0.19/0.42 a574: $i)).
% 0.19/0.42 tff(a560_type, type, (
% 0.19/0.42 a560: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_2_type, type, (
% 0.19/0.42 tptp_fun__i_val_2: $i)).
% 0.19/0.42 tff(a551_type, type, (
% 0.19/0.42 a551: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_10_type, type, (
% 0.19/0.42 tptp_fun__i_val_10: $i)).
% 0.19/0.42 tff(a575_type, type, (
% 0.19/0.42 a575: $i)).
% 0.19/0.42 tff(tptp_fun__i_val_11_type, type, (
% 0.19/0.42 tptp_fun__i_val_11: $i)).
% 0.19/0.42 tff(a566_type, type, (
% 0.19/0.42 a566: $i)).
% 0.19/0.42 tff(c5_0_type, type, (
% 0.19/0.42 c5_0: $o)).
% 0.19/0.42 tff(tptp_fun__i_val_6_type, type, (
% 0.19/0.42 tptp_fun__i_val_6: $i)).
% 0.19/0.42 tff(a564_type, type, (
% 0.19/0.42 a564: $i)).
% 0.19/0.42 tff(c4_0_type, type, (
% 0.19/0.42 c4_0: $o)).
% 0.19/0.42 tff(tptp_fun__i_val_8_type, type, (
% 0.19/0.42 tptp_fun__i_val_8: $i)).
% 0.19/0.42 tff(a577_type, type, (
% 0.19/0.42 a577: $i)).
% 0.19/0.42 tff(c3_0_type, type, (
% 0.19/0.42 c3_0: $o)).
% 0.19/0.42 tff(c5_2_type, type, (
% 0.19/0.42 c5_2: ( $i * $i ) > $o)).
% 0.19/0.42 tff(c4_1_type, type, (
% 0.19/0.42 c4_1: $i > $o)).
% 0.19/0.42 tff(c5_1_type, type, (
% 0.19/0.42 c5_1: $i > $o)).
% 0.19/0.42 tff(c1_1_type, type, (
% 0.19/0.42 c1_1: $i > $o)).
% 0.19/0.42 tff(c2_1_type, type, (
% 0.19/0.42 c2_1: $i > $o)).
% 0.19/0.42 tff(c3_1_type, type, (
% 0.19/0.42 c3_1: $i > $o)).
% 0.19/0.42 tff(c3_2_type, type, (
% 0.19/0.42 c3_2: ( $i * $i ) > $o)).
% 0.19/0.42 tff(c2_2_type, type, (
% 0.19/0.42 c2_2: ( $i * $i ) > $o)).
% 0.19/0.42 tff(c4_2_type, type, (
% 0.19/0.42 c4_2: ( $i * $i ) > $o)).
% 0.19/0.42 tff(c1_2_type, type, (
% 0.19/0.42 c1_2: ( $i * $i ) > $o)).
% 0.19/0.42 tff(ndr1_1_type, type, (
% 0.19/0.42 ndr1_1: $i > $o)).
% 0.19/0.42 tff(formula1, axiom,
% 0.19/0.42 a550 = $i!val!1).
% 0.19/0.42 tff(formula2, axiom,
% 0.19/0.42 a554 = $i!val!5).
% 0.19/0.42 tff(formula3, axiom,
% 0.19/0.42 a552 = $i!val!3).
% 0.19/0.42 tff(formula4, axiom,
% 0.19/0.42 c1_0 <=> $false).
% 0.19/0.42 tff(formula5, axiom,
% 0.19/0.42 a546 = $i!val!0).
% 0.19/0.42 tff(formula6, axiom,
% 0.19/0.42 ndr1_0 <=> $true).
% 0.19/0.42 tff(formula7, axiom,
% 0.19/0.42 a578 = $i!val!9).
% 0.19/0.42 tff(formula8, axiom,
% 0.19/0.42 c2_0 <=> $false).
% 0.19/0.42 tff(formula9, axiom,
% 0.19/0.42 a553 = $i!val!4).
% 0.19/0.42 tff(formula10, axiom,
% 0.19/0.42 a574 = $i!val!7).
% 0.19/0.42 tff(formula11, axiom,
% 0.19/0.42 a560 = $i!val!0).
% 0.19/0.42 tff(formula12, axiom,
% 0.19/0.42 a551 = $i!val!2).
% 0.19/0.42 tff(formula13, axiom,
% 0.19/0.42 a575 = $i!val!10).
% 0.19/0.42 tff(formula14, axiom,
% 0.19/0.42 a566 = $i!val!11).
% 0.19/0.42 tff(formula15, axiom,
% 0.19/0.42 c5_0 <=> $true).
% 0.19/0.42 tff(formula16, axiom,
% 0.19/0.42 a564 = $i!val!6).
% 0.19/0.42 tff(formula17, axiom,
% 0.19/0.42 c4_0 <=> $true).
% 0.19/0.42 tff(formula18, axiom,
% 0.19/0.42 a577 = $i!val!8).
% 0.19/0.42 tff(formula19, axiom,
% 0.19/0.42 c3_0 <=> $false).
% 0.19/0.42 tff(formula20, axiom,
% 0.19/0.42 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)).
% 0.19/0.42 tff(formula21, axiom,
% 0.19/0.42 ![X0: $i] : (c4_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8))).
% 0.19/0.42 tff(formula22, axiom,
% 0.19/0.42 c5_1($i!val!1) <=> $false).
% 0.19/0.42 tff(formula23, axiom,
% 0.19/0.42 ![X0: $i] : ((~(($i!val!1 = X0))) => (c5_1(X0) <=> $true))).
% 0.19/0.42 tff(formula24, axiom,
% 0.19/0.42 ![X0: $i] : (c1_1(X0) <=> (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8))).
% 0.19/0.42 tff(formula25, axiom,
% 0.19/0.42 ![X0: $i] : (c2_1(X0) <=> $false)).
% 0.19/0.42 tff(formula26, axiom,
% 0.19/0.42 ![X0: $i] : (c3_1(X0) <=> $false)).
% 0.19/0.42 tff(formula27, axiom,
% 0.19/0.42 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)).
% 0.19/0.42 tff(formula28, axiom,
% 0.19/0.42 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!3) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!4)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!10))))).
% 0.19/0.43 tff(formula29, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!3) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!11)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!11))))).
% 0.19/0.43 tff(formula30, axiom,
% 0.19/0.43 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!3) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!4)) | ((ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!6), $i!val!6, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8) & (ite_t((X0 = $i!val!11), $i!val!11, ite_t((X0 = $i!val!10), $i!val!10, ite_t((X0 = $i!val!5), $i!val!5, $i!val!4))) = $i!val!10))))).
% 0.19/0.43 tff(formula31, axiom,
% 0.19/0.43 ![X0: $i] : (ndr1_1(X0) <=> ((ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!3) | (ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!6), $i!val!6, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!9), $i!val!9, $i!val!0)))))) = $i!val!8)))).
% 0.19/0.43 % SZS output end Model
%------------------------------------------------------------------------------