TSTP Solution File: SYN045+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 : Thu Sep 29 23:53:18 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 01:25:55 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.
% 0.19/0.37 % SZS status Theorem
% 0.19/0.37 % SZS output start Proof
% 0.19/0.37 tff(r_type, type, (
% 0.19/0.37 r: $o)).
% 0.19/0.37 tff(p_type, type, (
% 0.19/0.37 p: $o)).
% 0.19/0.37 tff(q_type, type, (
% 0.19/0.37 q: $o)).
% 0.19/0.37 tff(1,assumption,(~p), introduced(assumption)).
% 0.19/0.37 tff(2,assumption,(~r), introduced(assumption)).
% 0.19/0.37 tff(3,plain,
% 0.19/0.37 (((~q) | (~r)) | r),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(4,plain,
% 0.19/0.37 ((~q) | (~r)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[3, 2])).
% 0.19/0.37 tff(5,plain,
% 0.19/0.37 ((~(p | (~((~q) | (~r))))) | p | (~((~q) | (~r)))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(6,plain,
% 0.19/0.37 (~(p | (~((~q) | (~r))))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[5, 4, 1])).
% 0.19/0.37 tff(7,plain,
% 0.19/0.37 ((~(p | r)) | p | r),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(8,plain,
% 0.19/0.37 (~(p | r)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[7, 2, 1])).
% 0.19/0.37 tff(9,plain,
% 0.19/0.37 (((~(p | q)) | (~(p | r))) | (p | r)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 ((~(p | q)) | (~(p | r))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 (((~(p | (~((~q) | (~r))))) <=> (~((~(p | q)) | (~(p | r))))) <=> ((p | (~((~q) | (~r)))) <=> ((~(p | q)) | (~(p | r))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 (((p | q) & (p | r)) <=> (~((~(p | q)) | (~(p | r))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(13,plain,
% 0.19/0.37 ((~(p | (q & r))) <=> (~(p | (~((~q) | (~r)))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (((~(p | (q & r))) <=> ((p | q) & (p | r))) <=> ((~(p | (~((~q) | (~r))))) <=> (~((~(p | q)) | (~(p | r)))))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[13, 12])).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 (((~(p | (q & r))) <=> ((p | q) & (p | r))) <=> ((p | (~((~q) | (~r)))) <=> ((~(p | q)) | (~(p | r))))),
% 0.19/0.37 inference(transitivity,[status(thm)],[14, 11])).
% 0.19/0.37 tff(16,plain,
% 0.19/0.37 ((~((p | (q & r)) <=> ((p | q) & (p | r)))) <=> ((~(p | (q & r))) <=> ((p | q) & (p | r)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(17,axiom,(~((p | (q & r)) <=> ((p | q) & (p | r)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel13')).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 ((~(p | (q & r))) <=> ((p | q) & (p | r))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.37 tff(19,plain,
% 0.19/0.37 ((p | (~((~q) | (~r)))) <=> ((~(p | q)) | (~(p | r)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.19/0.37 tff(20,plain,
% 0.19/0.37 ((p | (~((~q) | (~r)))) | (~((~(p | q)) | (~(p | r)))) | (~((p | (~((~q) | (~r)))) <=> ((~(p | q)) | (~(p | r)))))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 ((p | (~((~q) | (~r)))) | (~((~(p | q)) | (~(p | r))))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.19/0.37 tff(22,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[21, 10, 6])).
% 0.19/0.37 tff(23,plain,(r | p), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 (r),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[23, 1])).
% 0.19/0.37 tff(25,assumption,(~((~(p | q)) | (~(p | r)))), introduced(assumption)).
% 0.19/0.37 tff(26,plain,
% 0.19/0.37 (((~(p | q)) | (~(p | r))) | (p | q)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 (p | q),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.19/0.37 tff(28,plain,
% 0.19/0.37 ((~(p | q)) | p | q),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(29,plain,
% 0.19/0.37 (q),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[28, 27, 1])).
% 0.19/0.37 tff(30,plain,
% 0.19/0.37 ((~(p | (~((~q) | (~r))))) | ((~(p | q)) | (~(p | r))) | (~((p | (~((~q) | (~r)))) <=> ((~(p | q)) | (~(p | r)))))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(31,plain,
% 0.19/0.37 ((~(p | (~((~q) | (~r))))) | ((~(p | q)) | (~(p | r)))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[30, 19])).
% 0.19/0.37 tff(32,plain,
% 0.19/0.37 (~(p | (~((~q) | (~r))))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[31, 25])).
% 0.19/0.37 tff(33,plain,
% 0.19/0.37 ((p | (~((~q) | (~r)))) | ((~q) | (~r))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(34,plain,
% 0.19/0.37 ((~q) | (~r)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.19/0.37 tff(35,plain,
% 0.19/0.37 ((~((~q) | (~r))) | (~q) | (~r)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(36,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[35, 34, 29, 24])).
% 0.19/0.37 tff(37,plain,(((~(p | q)) | (~(p | r))) | p), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ((~(p | q)) | (~(p | r))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[37, 1])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 (p | (~((~q) | (~r)))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[21, 38])).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 (~((~q) | (~r))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[5, 39, 1])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 ((p | r) | (~r)),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 (p | r),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[41, 24])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 ((~((~(p | q)) | (~(p | r)))) | (~(p | q)) | (~(p | r))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 (~(p | q)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[43, 38, 42])).
% 0.19/0.38 tff(45,plain,
% 0.19/0.38 ((p | q) | (~q)),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 (~q),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.19/0.38 tff(47,plain,
% 0.19/0.38 (((~q) | (~r)) | q),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(48,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[47, 46, 40])).
% 0.19/0.38 tff(49,plain,(p), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 ((p | r) | (~p)),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(51,plain,
% 0.19/0.38 (p | r),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.19/0.38 tff(52,plain,
% 0.19/0.38 ((p | q) | (~p)),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(53,plain,
% 0.19/0.38 (p | q),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[52, 49])).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 ((p | (~((~q) | (~r)))) | (~p)),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(55,plain,
% 0.19/0.38 (p | (~((~q) | (~r)))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[54, 49])).
% 0.19/0.38 tff(56,plain,
% 0.19/0.38 ((~(p | q)) | (~(p | r))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[31, 55])).
% 0.19/0.38 tff(57,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[43, 56, 53, 51])).
% 0.19/0.38 % SZS output end Proof
%------------------------------------------------------------------------------