TSTP Solution File: SYN044-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SYN044-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n010.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 23:53:17 EDT 2022

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Sep  5 01:08:27 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.
% 0.22/0.39  % SZS status Unsatisfiable
% 0.22/0.39  % SZS output start Proof
% 0.22/0.39  tff(r_type, type, (
% 0.22/0.39     r: $o)).
% 0.22/0.39  tff(q_type, type, (
% 0.22/0.39     q: $o)).
% 0.22/0.39  tff(p_type, type, (
% 0.22/0.39     p: $o)).
% 0.22/0.39  tff(1,assumption,(~q), introduced(assumption)).
% 0.22/0.39  tff(2,plain,
% 0.22/0.39      (((~r) | q) <=> (q | (~r))),
% 0.22/0.39      inference(rewrite,[status(thm)],[])).
% 0.22/0.39  tff(3,axiom,((~r) | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_3')).
% 0.22/0.39  tff(4,plain,
% 0.22/0.39      (q | (~r)),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[3, 2])).
% 0.22/0.39  tff(5,plain,
% 0.22/0.39      (~r),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[4, 1])).
% 0.22/0.39  tff(6,axiom,(p | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_6')).
% 0.22/0.39  tff(7,plain,
% 0.22/0.39      (p),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[6, 1])).
% 0.22/0.39  tff(8,plain,
% 0.22/0.39      (((q | (~p)) | r) <=> (q | r | (~p))),
% 0.22/0.39      inference(rewrite,[status(thm)],[])).
% 0.22/0.39  tff(9,plain,
% 0.22/0.39      (((~p) | q) <=> (q | (~p))),
% 0.22/0.39      inference(rewrite,[status(thm)],[])).
% 0.22/0.39  tff(10,plain,
% 0.22/0.39      ((((~p) | q) | r) <=> ((q | (~p)) | r)),
% 0.22/0.39      inference(monotonicity,[status(thm)],[9])).
% 0.22/0.39  tff(11,plain,
% 0.22/0.39      ((((~p) | q) | r) <=> (q | r | (~p))),
% 0.22/0.39      inference(transitivity,[status(thm)],[10, 8])).
% 0.22/0.39  tff(12,axiom,(((~p) | q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_4')).
% 0.22/0.39  tff(13,plain,
% 0.22/0.39      (q | r | (~p)),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[12, 11])).
% 0.22/0.39  tff(14,plain,
% 0.22/0.39      ($false),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[13, 7, 5, 1])).
% 0.22/0.39  tff(15,plain,(q), inference(lemma,lemma(discharge,[]))).
% 0.22/0.39  tff(16,plain,
% 0.22/0.39      (((~q) | r) <=> ((~q) | r)),
% 0.22/0.39      inference(rewrite,[status(thm)],[])).
% 0.22/0.39  tff(17,axiom,((~q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.22/0.39  tff(18,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[17, 16])).
% 0.22/0.39  tff(19,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[18, 16])).
% 0.22/0.39  tff(20,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[19, 16])).
% 0.22/0.39  tff(21,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[20, 16])).
% 0.22/0.39  tff(22,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[21, 16])).
% 0.22/0.39  tff(23,plain,
% 0.22/0.39      ((~q) | r),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[22, 16])).
% 0.22/0.39  tff(24,plain,
% 0.22/0.39      (r),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[23, 15])).
% 0.22/0.39  tff(25,axiom,((~p) | (~q)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_5')).
% 0.22/0.39  tff(26,plain,
% 0.22/0.39      (~p),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[25, 15])).
% 0.22/0.39  tff(27,plain,
% 0.22/0.39      (((~r) | p) <=> ((~r) | p)),
% 0.22/0.39      inference(rewrite,[status(thm)],[])).
% 0.22/0.39  tff(28,axiom,((~r) | p), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.22/0.39  tff(29,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[28, 27])).
% 0.22/0.39  tff(30,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[29, 27])).
% 0.22/0.39  tff(31,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[30, 27])).
% 0.22/0.39  tff(32,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[31, 27])).
% 0.22/0.39  tff(33,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[32, 27])).
% 0.22/0.39  tff(34,plain,
% 0.22/0.39      ((~r) | p),
% 0.22/0.39      inference(modus_ponens,[status(thm)],[33, 27])).
% 0.22/0.39  tff(35,plain,
% 0.22/0.39      ($false),
% 0.22/0.39      inference(unit_resolution,[status(thm)],[34, 26, 24])).
% 0.22/0.39  % SZS output end Proof
%------------------------------------------------------------------------------