TSTP Solution File: SYN391+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 23:55:07 EDT 2022

% Result   : Theorem 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n021.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 03:00:16 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.
% 0.13/0.38  % SZS status Theorem
% 0.13/0.38  % SZS output start Proof
% 0.13/0.38  tff(p1_type, type, (
% 0.13/0.38     p1: $o)).
% 0.13/0.38  tff(p2_type, type, (
% 0.13/0.38     p2: $o)).
% 0.13/0.38  tff(1,assumption,(~p1), introduced(assumption)).
% 0.13/0.38  tff(2,plain,
% 0.13/0.38      ((~((((p1 | p2) & ((~p1) | p2)) & (p1 | (~p2))) => (~((~p1) | (~p2))))) <=> (~((~((~p1) | (~p2))) | (~((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2))))))),
% 0.13/0.38      inference(rewrite,[status(thm)],[])).
% 0.13/0.38  tff(3,axiom,(~((((p1 | p2) & ((~p1) | p2)) & (p1 | (~p2))) => (~((~p1) | (~p2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel9')).
% 0.13/0.38  tff(4,plain,
% 0.13/0.38      (~((~((~p1) | (~p2))) | (~((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2)))))),
% 0.13/0.38      inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.38  tff(5,plain,
% 0.13/0.38      ((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2))),
% 0.13/0.38      inference(or_elim,[status(thm)],[4])).
% 0.13/0.38  tff(6,plain,
% 0.13/0.38      (p1 | p2),
% 0.13/0.38      inference(and_elim,[status(thm)],[5])).
% 0.13/0.38  tff(7,plain,
% 0.13/0.38      (p2),
% 0.13/0.38      inference(unit_resolution,[status(thm)],[6, 1])).
% 0.13/0.38  tff(8,plain,
% 0.13/0.38      (p1 | (~p2)),
% 0.13/0.38      inference(and_elim,[status(thm)],[5])).
% 0.13/0.38  tff(9,plain,
% 0.13/0.38      ($false),
% 0.13/0.38      inference(unit_resolution,[status(thm)],[8, 7, 1])).
% 0.13/0.38  tff(10,plain,(p1), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38  tff(11,plain,
% 0.13/0.38      ((~p1) | (~p2)),
% 0.13/0.38      inference(or_elim,[status(thm)],[4])).
% 0.13/0.38  tff(12,plain,
% 0.13/0.38      (~p2),
% 0.13/0.38      inference(unit_resolution,[status(thm)],[11, 10])).
% 0.13/0.38  tff(13,plain,
% 0.13/0.38      (p2 | (~p1)),
% 0.13/0.38      inference(and_elim,[status(thm)],[5])).
% 0.13/0.38  tff(14,plain,
% 0.13/0.38      ($false),
% 0.13/0.38      inference(unit_resolution,[status(thm)],[13, 12, 10])).
% 0.13/0.38  % SZS output end Proof
%------------------------------------------------------------------------------