TSTP Solution File: DAT057_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : DAT057_1 : TPTP v8.1.0. Released v5.5.0.
% 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 : Fri Sep 16 14:36:33 EDT 2022
% Result : Theorem 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT057_1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 31 02:01:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 tff(get_type, type, (
% 0.14/0.39 get: ( array * $int ) > data)).
% 0.14/0.39 tff(tptp_fun_N_1_type, type, (
% 0.14/0.39 tptp_fun_N_1: $int)).
% 0.14/0.39 tff(tptp_fun_Ar_3_type, type, (
% 0.14/0.39 tptp_fun_Ar_3: array)).
% 0.14/0.39 tff(put_type, type, (
% 0.14/0.39 put: ( array * $int * data ) > array)).
% 0.14/0.39 tff(tptp_fun_D_4_type, type, (
% 0.14/0.39 tptp_fun_D_4: data)).
% 0.14/0.39 tff(tptp_fun_M_2_type, type, (
% 0.14/0.39 tptp_fun_M_2: $int)).
% 0.14/0.39 tff(1,plain,
% 0.14/0.39 ((~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))) <=> (~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(2,plain,
% 0.14/0.39 ((~![D: data, Ar: array, M: $int, N: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))) <=> (~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(3,plain,
% 0.14/0.39 ((~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))) <=> (~![D: data, Ar: array, M: $int, N: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(4,plain,
% 0.14/0.39 ((~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))) <=> (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(5,plain,
% 0.14/0.39 ((~![D: data, Ar: array, M: $int, N: $int] : ((get(put(Ar, M, D), N) = get(Ar, N)) | (M = N))) <=> (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(6,axiom,(~![D: data, Ar: array, M: $int, N: $int] : ((get(put(Ar, M, D), N) = get(Ar, N)) | (M = N))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','th_lem_1')).
% 0.14/0.39 tff(7,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.14/0.39 tff(9,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.14/0.39 tff(10,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : ((M = N) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[9, 4])).
% 0.14/0.39 tff(11,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.14/0.39 tff(12,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.14/0.39 tff(13,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[12, 1])).
% 0.14/0.39 tff(14,plain,
% 0.14/0.39 (~![D: data, Ar: array, M: $int, N: $int] : (($sum(N, $product(-1, M)) = 0) | (get(put(Ar, M, D), N) = get(Ar, N)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[13, 1])).
% 0.14/0.39 tff(15,plain,(
% 0.14/0.39 ~(($sum(N!1, $product(-1, M!2)) = 0) | (get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1)))),
% 0.14/0.39 inference(skolemize,[status(sab)],[14])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 (~(get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1))),
% 0.14/0.39 inference(or_elim,[status(thm)],[15])).
% 0.14/0.39 tff(17,plain,
% 0.14/0.39 (~($sum(N!1, $product(-1, M!2)) = 0)),
% 0.14/0.39 inference(or_elim,[status(thm)],[15])).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 (^[N: $int, D: data, Ar: array, M: $int] : refl((($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M))) <=> (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(19,plain,
% 0.14/0.39 (![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M))) <=> ![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[18])).
% 0.14/0.40 tff(20,plain,
% 0.14/0.40 (^[N: $int, D: data, Ar: array, M: $int] : rewrite(((M = N) | (get(put(Ar, N, D), M) = get(Ar, M))) <=> (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(21,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M))) <=> ![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[20])).
% 0.14/0.40 tff(22,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M))) <=> ![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(23,plain,
% 0.14/0.40 (^[N: $int, D: data, Ar: array, M: $int] : rewrite(((~(M = N)) => (get(put(Ar, N, D), M) = get(Ar, M))) <=> ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(24,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : ((~(M = N)) => (get(put(Ar, N, D), M) = get(Ar, M))) <=> ![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[23])).
% 0.14/0.40 tff(25,axiom,(![N: $int, D: data, Ar: array, M: $int] : ((~(M = N)) => (get(put(Ar, N, D), M) = get(Ar, M)))), file('/export/starexec/sandbox/benchmark/Axioms/DAT004=0.ax','ax_19')).
% 0.14/0.40 tff(26,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.14/0.40 tff(27,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : ((M = N) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.14/0.40 tff(28,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[27, 21])).
% 0.14/0.40 tff(29,plain,(
% 0.14/0.40 ![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(skolemize,[status(sab)],[28])).
% 0.14/0.40 tff(30,plain,
% 0.14/0.40 (![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[29, 19])).
% 0.14/0.40 tff(31,plain,
% 0.14/0.40 (((~![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))) | (($sum(N!1, $product(-1, M!2)) = 0) | (get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1)))) <=> ((~![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))) | ($sum(N!1, $product(-1, M!2)) = 0) | (get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(32,plain,
% 0.14/0.40 ((~![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))) | (($sum(N!1, $product(-1, M!2)) = 0) | (get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1)))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(33,plain,
% 0.14/0.40 ((~![N: $int, D: data, Ar: array, M: $int] : (($sum(M, $product(-1, N)) = 0) | (get(put(Ar, N, D), M) = get(Ar, M)))) | ($sum(N!1, $product(-1, M!2)) = 0) | (get(put(Ar!3, M!2, D!4), N!1) = get(Ar!3, N!1))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.14/0.40 tff(34,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[33, 30, 17, 16])).
% 0.14/0.40 % SZS output end Proof
%------------------------------------------------------------------------------