TSTP Solution File: SYN963+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN963+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 30 00:01:25 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN963+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.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 09:54:42 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.
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(p_type, type, (
% 0.19/0.38 p: $i > $o)).
% 0.19/0.38 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.38 tptp_fun_Y_1: $i)).
% 0.19/0.38 tff(tptp_fun_X_0_type, type, (
% 0.19/0.38 tptp_fun_X_0: $i)).
% 0.19/0.38 tff(1,assumption,(![X: $i] : (~p(X))), introduced(assumption)).
% 0.19/0.38 tff(2,assumption,(p(X!0)), introduced(assumption)).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 ((~![X: $i] : (~p(X))) | (~p(X!0))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[3, 2, 1])).
% 0.19/0.38 tff(5,plain,((~p(X!0)) | (~![X: $i] : (~p(X)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 (~p(X!0)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[5, 1])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 ((![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y))) <=> (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 (((p(X!0) | p(Y!1)) & (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y)))) <=> ((p(X!0) | p(Y!1)) & (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[7])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)) <=> ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 ((~(?[X: $i] : p(X) <=> ?[Y: $i] : p(Y))) <=> ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 ((?[X: $i] : p(X) <=> ?[Y: $i] : p(Y)) <=> (?[X: $i] : p(X) <=> ?[Y: $i] : p(Y))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 ((~(?[X: $i] : p(X) <=> ?[Y: $i] : p(Y))) <=> (~(?[X: $i] : p(X) <=> ?[Y: $i] : p(Y)))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[11])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 ((~(?[X: $i] : p(X) <=> ?[Y: $i] : p(Y))) <=> ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y))),
% 0.19/0.38 inference(transitivity,[status(thm)],[12, 10])).
% 0.19/0.38 tff(14,axiom,(~(?[X: $i] : p(X) <=> ?[Y: $i] : p(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.19/0.38 tff(15,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[15, 9])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[17, 9])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 9])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.19/0.38 tff(21,plain,
% 0.19/0.38 ((~?[X: $i] : p(X)) <=> ?[Y: $i] : p(Y)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[20, 9])).
% 0.19/0.38 tff(22,plain,(
% 0.19/0.38 (p(X!0) | p(Y!1)) & (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[21])).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 ((p(X!0) | p(Y!1)) & (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[22, 8])).
% 0.19/0.38 tff(24,plain,
% 0.19/0.38 (p(X!0) | p(Y!1)),
% 0.19/0.38 inference(and_elim,[status(thm)],[23])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (p(Y!1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[24, 6])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 ((~![X: $i] : (~p(X))) | (~p(Y!1))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(27,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[26, 25, 1])).
% 0.19/0.38 tff(28,plain,(~![X: $i] : (~p(X))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 ((![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y))) <=> (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y))),
% 0.19/0.38 inference(and_elim,[status(thm)],[23])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 (![X: $i] : (~p(X)) | ![Y: $i] : (~p(Y))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 (![Y: $i] : (~p(Y))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.19/0.38 tff(33,assumption,(p(Y!1)), introduced(assumption)).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 ((~![Y: $i] : (~p(Y))) | (~p(Y!1))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[34, 33, 32])).
% 0.19/0.38 tff(36,plain,(~p(Y!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (p(X!0)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[24, 36])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ((~![Y: $i] : (~p(Y))) | (~p(X!0))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[38, 37, 32])).
% 0.19/0.38 % SZS output end Proof
%------------------------------------------------------------------------------