TSTP Solution File: SYN960+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 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 30 00:01:24 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 : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Mon Sep 5 09:57:37 EDT 2022
% 0.14/0.35 % 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(a_type, type, (
% 0.14/0.39 a: ( $i * $i ) > $o)).
% 0.14/0.39 tff(tptp_fun_Y_3_type, type, (
% 0.14/0.39 tptp_fun_Y_3: $i)).
% 0.14/0.39 tff(tptp_fun_X_2_type, type, (
% 0.14/0.39 tptp_fun_X_2: $i)).
% 0.14/0.39 tff(tptp_fun_Y_0_type, type, (
% 0.14/0.39 tptp_fun_Y_0: $i)).
% 0.14/0.39 tff(tptp_fun_X_1_type, type, (
% 0.14/0.39 tptp_fun_X_1: $i)).
% 0.14/0.39 tff(1,assumption,(![X: $i, Y: $i] : (~a(X, Y))), introduced(assumption)).
% 0.14/0.39 tff(2,assumption,(a(X!1, Y!0)), introduced(assumption)).
% 0.14/0.39 tff(3,plain,
% 0.14/0.39 ((~![X: $i, Y: $i] : (~a(X, Y))) | (~a(X!1, Y!0))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(4,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[3, 2, 1])).
% 0.14/0.39 tff(5,plain,((~a(X!1, Y!0)) | (~![X: $i, Y: $i] : (~a(X, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(6,plain,
% 0.14/0.39 (~a(X!1, Y!0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[5, 1])).
% 0.14/0.39 tff(7,plain,
% 0.14/0.39 ((![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y))) <=> (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y)))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 (((a(X!1, Y!0) | a(X!2, Y!3)) & (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y)))) <=> ((a(X!1, Y!0) | a(X!2, Y!3)) & (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y))))),
% 0.14/0.39 inference(monotonicity,[status(thm)],[7])).
% 0.14/0.39 tff(9,plain,
% 0.14/0.39 (((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)) <=> ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(10,plain,
% 0.14/0.39 ((~(?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y))) <=> ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(11,plain,
% 0.14/0.39 ((?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y)) <=> (?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(12,plain,
% 0.14/0.39 ((~(?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y))) <=> (~(?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y)))),
% 0.14/0.39 inference(monotonicity,[status(thm)],[11])).
% 0.14/0.39 tff(13,plain,
% 0.14/0.39 ((~(?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y))) <=> ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y))),
% 0.14/0.39 inference(transitivity,[status(thm)],[12, 10])).
% 0.14/0.39 tff(14,axiom,(~(?[X: $i, Y: $i] : a(X, Y) <=> ?[Y: $i, X: $i] : a(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.14/0.39 tff(15,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[15, 9])).
% 0.14/0.39 tff(17,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[17, 9])).
% 0.14/0.39 tff(19,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[18, 9])).
% 0.14/0.39 tff(20,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.14/0.39 tff(21,plain,
% 0.14/0.39 ((~?[X: $i, Y: $i] : a(X, Y)) <=> ?[Y: $i, X: $i] : a(X, Y)),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[20, 9])).
% 0.14/0.39 tff(22,plain,(
% 0.14/0.39 (a(X!1, Y!0) | a(X!2, Y!3)) & (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y)))),
% 0.14/0.39 inference(skolemize,[status(sab)],[21])).
% 0.14/0.39 tff(23,plain,
% 0.14/0.39 ((a(X!1, Y!0) | a(X!2, Y!3)) & (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[22, 8])).
% 0.14/0.39 tff(24,plain,
% 0.14/0.39 (a(X!1, Y!0) | a(X!2, Y!3)),
% 0.14/0.39 inference(and_elim,[status(thm)],[23])).
% 0.14/0.39 tff(25,plain,
% 0.14/0.39 (a(X!2, Y!3)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[24, 6])).
% 0.14/0.39 tff(26,plain,
% 0.14/0.39 ((~![X: $i, Y: $i] : (~a(X, Y))) | (~a(X!2, Y!3))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(27,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[26, 25, 1])).
% 0.14/0.39 tff(28,plain,(~![X: $i, Y: $i] : (~a(X, Y))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(29,plain,
% 0.14/0.39 ((![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y))) <=> (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y)))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(30,plain,
% 0.14/0.39 (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y))),
% 0.14/0.39 inference(and_elim,[status(thm)],[23])).
% 0.14/0.39 tff(31,plain,
% 0.14/0.39 (![X: $i, Y: $i] : (~a(X, Y)) | ![Y: $i, X: $i] : (~a(X, Y))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.14/0.39 tff(32,plain,
% 0.14/0.39 (![Y: $i, X: $i] : (~a(X, Y))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.14/0.39 tff(33,assumption,(a(X!2, Y!3)), introduced(assumption)).
% 0.14/0.39 tff(34,plain,
% 0.14/0.39 ((~![Y: $i, X: $i] : (~a(X, Y))) | (~a(X!2, Y!3))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(35,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[34, 33, 32])).
% 0.14/0.39 tff(36,plain,(~a(X!2, Y!3)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(37,plain,
% 0.14/0.39 (a(X!1, Y!0)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[24, 36])).
% 0.14/0.39 tff(38,plain,
% 0.14/0.39 ((~![Y: $i, X: $i] : (~a(X, Y))) | (~a(X!1, Y!0))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(39,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[38, 37, 32])).
% 0.14/0.39 % SZS output end Proof
%------------------------------------------------------------------------------