TSTP Solution File: DAT081_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : DAT081_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 14:36:39 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
% 0.07/0.12 % Problem : DAT081_1 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.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 : Wed Aug 31 01:57:45 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.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(count_type, type, (
% 0.13/0.40 count: ( $int * list ) > $int)).
% 0.13/0.40 tff(nil_type, type, (
% 0.13/0.40 nil: list)).
% 0.13/0.40 tff(tptp_fun_A_6_type, type, (
% 0.13/0.40 tptp_fun_A_6: $int)).
% 0.13/0.40 tff(in_type, type, (
% 0.13/0.40 in: ( $int * list ) > $o)).
% 0.13/0.40 tff(1,plain,
% 0.13/0.40 (^[N: $int, L: list] : refl((in(N, L) <=> (~$lesseq(count(N, L), 0))) <=> (in(N, L) <=> (~$lesseq(count(N, L), 0))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0))) <=> ![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0))) <=> ![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (^[N: $int, L: list] : rewrite((in(N, L) <=> $greater(count(N, L), 0)) <=> (in(N, L) <=> (~$lesseq(count(N, L), 0))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> $greater(count(N, L), 0)) <=> ![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.40 tff(6,axiom,(![N: $int, L: list] : (in(N, L) <=> $greater(count(N, L), 0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a_8')).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.13/0.40 tff(8,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.13/0.40 tff(9,plain,(
% 0.13/0.40 ![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[8])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 ((~![N: $int, L: list] : (in(N, L) <=> (~$lesseq(count(N, L), 0)))) | (in(A!6, nil) <=> (~$lesseq(count(A!6, nil), 0)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(12,plain,
% 0.13/0.40 (in(A!6, nil) <=> (~$lesseq(count(A!6, nil), 0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 ((~(~in(A!6, nil))) <=> in(A!6, nil)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(14,plain,
% 0.13/0.40 ((~![A: $int] : (~in(A, nil))) <=> (~![A: $int] : (~in(A, nil)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(15,axiom,(~![A: $int] : (~in(A, nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c')).
% 0.13/0.40 tff(16,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.13/0.40 tff(17,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[16, 14])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[17, 14])).
% 0.13/0.40 tff(19,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.13/0.40 tff(20,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.13/0.40 tff(21,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[20, 14])).
% 0.13/0.40 tff(22,plain,
% 0.13/0.40 (~![A: $int] : (~in(A, nil))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.13/0.40 tff(23,plain,(
% 0.13/0.40 ~(~in(A!6, nil))),
% 0.13/0.40 inference(skolemize,[status(sab)],[22])).
% 0.13/0.40 tff(24,plain,
% 0.13/0.40 (in(A!6, nil)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[23, 13])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 ((~(in(A!6, nil) <=> (~$lesseq(count(A!6, nil), 0)))) | (~in(A!6, nil)) | (~$lesseq(count(A!6, nil), 0))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 ((~(in(A!6, nil) <=> (~$lesseq(count(A!6, nil), 0)))) | (~$lesseq(count(A!6, nil), 0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.13/0.40 tff(27,plain,
% 0.13/0.40 (~$lesseq(count(A!6, nil), 0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[26, 12])).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 ((~(count(A!6, nil) = 0)) | $lesseq(count(A!6, nil), 0)),
% 0.13/0.40 inference(theory_lemma,[status(thm)],[])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (~(count(A!6, nil) = 0)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.13/0.40 tff(30,plain,
% 0.13/0.40 (^[K: $int] : refl((count(K, nil) = 0) <=> (count(K, nil) = 0))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (![K: $int] : (count(K, nil) = 0) <=> ![K: $int] : (count(K, nil) = 0)),
% 0.13/0.40 inference(quant_intro,[status(thm)],[30])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 (![K: $int] : (count(K, nil) = 0) <=> ![K: $int] : (count(K, nil) = 0)),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(33,axiom,(![K: $int] : (count(K, nil) = 0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a')).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 (![K: $int] : (count(K, nil) = 0)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.13/0.40 tff(35,plain,(
% 0.13/0.40 ![K: $int] : (count(K, nil) = 0)),
% 0.13/0.40 inference(skolemize,[status(sab)],[34])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 (![K: $int] : (count(K, nil) = 0)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 ((~![K: $int] : (count(K, nil) = 0)) | (count(A!6, nil) = 0)),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[37, 36, 29])).
% 0.13/0.40 % SZS output end Proof
%------------------------------------------------------------------------------