TSTP Solution File: DAT059_1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : DAT059_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n024.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 : Fri Sep 16 14:36:34 EDT 2022

% Result   : Theorem 0.13s 0.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : DAT059_1 : TPTP v8.1.0. Released v5.5.0.
% 0.12/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35  % Computer : n024.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 : Wed Aug 31 01:49:19 EDT 2022
% 0.13/0.35  % 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.
% 0.13/0.40  % SZS status Theorem
% 0.13/0.40  % SZS output start Proof
% 0.13/0.40  tff(put_type, type, (
% 0.13/0.40     put: ( array * $int * data ) > array)).
% 0.13/0.40  tff(tptp_fun_D2_1_type, type, (
% 0.13/0.40     tptp_fun_D2_1: data)).
% 0.13/0.40  tff(tptp_fun_M_2_type, type, (
% 0.13/0.40     tptp_fun_M_2: $int)).
% 0.13/0.40  tff(tptp_fun_Ar_3_type, type, (
% 0.13/0.40     tptp_fun_Ar_3: array)).
% 0.13/0.40  tff(tptp_fun_D1_4_type, type, (
% 0.13/0.40     tptp_fun_D1_4: data)).
% 0.13/0.40  tff(1,plain,
% 0.13/0.40      ((~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))) <=> (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2)))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(2,axiom,(~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','th_lem_5')).
% 0.13/0.40  tff(3,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.40  tff(4,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[3, 1])).
% 0.13/0.40  tff(5,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.40  tff(6,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.40  tff(7,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.40  tff(8,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[7, 1])).
% 0.13/0.40  tff(9,plain,
% 0.13/0.40      (~![D1: data, Ar: array, M: $int, D2: data] : (put(put(Ar, M, D1), M, D2) = put(Ar, M, D2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[8, 1])).
% 0.13/0.40  tff(10,plain,(
% 0.13/0.40      ~(put(put(Ar!3, M!2, D1!4), M!2, D2!1) = put(Ar!3, M!2, D2!1))),
% 0.13/0.40      inference(skolemize,[status(sab)],[9])).
% 0.13/0.40  tff(11,plain,
% 0.13/0.40      (^[D2: data, Ar: array, M: $int, D1: data] : refl((put(put(Ar, M, D2), M, D1) = put(Ar, M, D1)) <=> (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1)))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(12,plain,
% 0.13/0.40      (![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1)) <=> ![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[11])).
% 0.13/0.40  tff(13,plain,
% 0.13/0.40      (![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1)) <=> ![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(14,axiom,(![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))), file('/export/starexec/sandbox2/benchmark/Axioms/DAT004=0.ax','ax_20')).
% 0.13/0.40  tff(15,plain,
% 0.13/0.40      (![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[14, 13])).
% 0.13/0.40  tff(16,plain,(
% 0.13/0.40      ![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))),
% 0.13/0.40      inference(skolemize,[status(sab)],[15])).
% 0.13/0.40  tff(17,plain,
% 0.13/0.40      (![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[16, 12])).
% 0.13/0.40  tff(18,plain,
% 0.13/0.40      ((~![D2: data, Ar: array, M: $int, D1: data] : (put(put(Ar, M, D2), M, D1) = put(Ar, M, D1))) | (put(put(Ar!3, M!2, D1!4), M!2, D2!1) = put(Ar!3, M!2, D2!1))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(19,plain,
% 0.13/0.40      ($false),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[18, 17, 10])).
% 0.13/0.40  % SZS output end Proof
%------------------------------------------------------------------------------