TSTP Solution File: MSC011+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : MSC011+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n029.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 : Sun Sep 18 05:34:04 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MSC011+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri Sep  2 03:12:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34  Usage: tptp [options] [-file:]file
% 0.12/0.34    -h, -?       prints this message.
% 0.12/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.34    -m, -model   generate model.
% 0.12/0.34    -p, -proof   generate proof.
% 0.12/0.34    -c, -core    generate unsat core of named formulas.
% 0.12/0.34    -st, -statistics display statistics.
% 0.12/0.34    -t:timeout   set timeout (in second).
% 0.12/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34    -<param>:<value> configuration parameter and value.
% 0.12/0.34    -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(drunk_type, type, (
% 0.19/0.38     drunk: $i > $o)).
% 0.19/0.38  tff(tptp_fun_A_0_type, type, (
% 0.19/0.38     tptp_fun_A_0: $i)).
% 0.19/0.38  tff(neg_psi_type, type, (
% 0.19/0.38     neg_psi: $o)).
% 0.19/0.38  tff(not_drunk_type, type, (
% 0.19/0.38     not_drunk: $i > $o)).
% 0.19/0.38  tff(elem_1_type, type, (
% 0.19/0.38     elem_1: $i)).
% 0.19/0.38  tff(goal_type, type, (
% 0.19/0.38     goal: $o)).
% 0.19/0.38  tff(1,plain,
% 0.19/0.38      (^[A: $i] : refl((~((~neg_psi) | (~drunk(A)))) <=> (~((~neg_psi) | (~drunk(A)))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(2,plain,
% 0.19/0.38      (![A: $i] : (~((~neg_psi) | (~drunk(A)))) <=> ![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[1])).
% 0.19/0.38  tff(3,plain,
% 0.19/0.38      (^[A: $i] : rewrite((drunk(A) & neg_psi) <=> (~((~neg_psi) | (~drunk(A)))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(4,plain,
% 0.19/0.38      (![A: $i] : (drunk(A) & neg_psi) <=> ![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[3])).
% 0.19/0.38  tff(5,plain,
% 0.19/0.38      (![A: $i] : (drunk(A) & neg_psi) <=> ![A: $i] : (drunk(A) & neg_psi)),
% 0.19/0.38      inference(rewrite,[status(thm)],[])).
% 0.19/0.38  tff(6,axiom,(![A: $i] : (drunk(A) & neg_psi)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg_phi')).
% 0.19/0.38  tff(7,plain,
% 0.19/0.38      (![A: $i] : (drunk(A) & neg_psi)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.38  tff(8,plain,(
% 0.19/0.38      ![A: $i] : (drunk(A) & neg_psi)),
% 0.19/0.38      inference(skolemize,[status(sab)],[7])).
% 0.19/0.38  tff(9,plain,
% 0.19/0.38      (![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[8, 4])).
% 0.19/0.38  tff(10,plain,
% 0.19/0.38      (![A: $i] : (~((~neg_psi) | (~drunk(A))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.38  tff(11,plain,
% 0.19/0.38      ((~![A: $i] : (~((~neg_psi) | (~drunk(A))))) | (~((~neg_psi) | (~drunk(elem!1))))),
% 0.19/0.38      inference(quant_inst,[status(thm)],[])).
% 0.19/0.38  tff(12,plain,
% 0.19/0.38      (~((~neg_psi) | (~drunk(elem!1)))),
% 0.19/0.38      inference(unit_resolution,[status(thm)],[11, 10])).
% 0.19/0.38  tff(13,plain,
% 0.19/0.38      (((~neg_psi) | (~drunk(elem!1))) | neg_psi),
% 0.19/0.38      inference(tautology,[status(thm)],[])).
% 0.19/0.38  tff(14,plain,
% 0.19/0.38      (neg_psi),
% 0.19/0.38      inference(unit_resolution,[status(thm)],[13, 12])).
% 0.19/0.38  tff(15,plain,
% 0.19/0.38      (((~neg_psi) | ?[A: $i] : not_drunk(A)) <=> ((~neg_psi) | ?[A: $i] : not_drunk(A))),
% 0.19/0.38      inference(rewrite,[status(thm)],[])).
% 0.19/0.38  tff(16,plain,
% 0.19/0.38      ((neg_psi => ?[A: $i] : not_drunk(A)) <=> ((~neg_psi) | ?[A: $i] : not_drunk(A))),
% 0.19/0.38      inference(rewrite,[status(thm)],[])).
% 0.19/0.38  tff(17,axiom,(neg_psi => ?[A: $i] : not_drunk(A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg_psi_ax')).
% 0.19/0.38  tff(18,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[17, 16])).
% 0.19/0.38  tff(19,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[18, 15])).
% 0.19/0.38  tff(20,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[19, 15])).
% 0.19/0.38  tff(21,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[20, 15])).
% 0.19/0.38  tff(22,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[21, 15])).
% 0.19/0.38  tff(23,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[22, 15])).
% 0.19/0.38  tff(24,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[23, 15])).
% 0.19/0.38  tff(25,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[24, 15])).
% 0.19/0.38  tff(26,plain,
% 0.19/0.38      ((~neg_psi) | ?[A: $i] : not_drunk(A)),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[25, 15])).
% 0.19/0.38  Proof display could not be completed: monotonicity rule is not handled
%------------------------------------------------------------------------------