↑ Up

ConnectPP---0.7.2.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:50:52 AM UTC 2026

% Result   : Theorem 0.78s 1.12s
% Output   : Proof 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   21 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-6 aty)
%            Number of variables   :   16 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(subs_present_no,axiom,
    ! [L1,H1,L2,H2] :
      ( ~ axis_subsumes(L1,H1,L2,H2)
     => subs_verdict(L1,H1,present,L2,H2,present) = conflict ),
    file('MGT002+7.ax',subs_present_no) ).

fof(no_subs_hint,axiom,
    ~ axis_subsumes(v0,v800,v0,v600),
    file('theBenchmark.p',no_subs_hint) ).

fof(odrl653,conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) = conflict,
    file('theBenchmark.p',odrl653) ).

fof(f_36_1,plain,
    ! [L1,H1,L2,H2] :
      ( subs_verdict(L1,H1,present,L2,H2,present) = conflict
      | axis_subsumes(L1,H1,L2,H2) ),
    inference(fof_nnf,[status(thm)],[subs_present_no]) ).

fof(f_36_2,plain,
    ! [U_132,U_131,U_130,U_129] :
      ( subs_verdict(U_132,U_131,present,U_130,U_129,present) = conflict
      | axis_subsumes(U_132,U_131,U_130,U_129) ),
    inference(variable_rename,[status(thm)],[f_36_1]) ).

cnf(f_36_3,plain,
    ( subs_verdict(U_132,U_131,present,U_130,U_129,present) = conflict
    | axis_subsumes(U_132,U_131,U_130,U_129) ),
    inference(clausify,[status(thm)],[f_36_2]) ).

fof(f_79_1,plain,
    ~ axis_subsumes(v0,v800,v0,v600),
    inference(fof_nnf,[status(thm)],[no_subs_hint]) ).

cnf(f_79_2,plain,
    ~ axis_subsumes(v0,v800,v0,v600),
    inference(clausify,[status(thm)],[f_79_1]) ).

fof(f_80_1,negated_conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(negate,[status(cth)],[odrl653]) ).

fof(f_80_2,negated_conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(definitional_conversion,[status(esa)],[f_80_1]) ).

cnf(f_80_3,negated_conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(clausify,[status(thm)],[f_80_2]) ).

cnf(t1,plain,
    ~ axis_subsumes(v0,v800,v0,v600),
    inference(start,[status(thm),parent(0:0)],[f_79_2]) ).

cnf(t2,plain,
    ( subs_verdict(v0,v800,present,v0,v600,present) = conflict
    | axis_subsumes(v0,v800,v0,v600) ),
    inference(extension,[status(thm),parent(t1:1)],[f_36_3]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(extension,[status(thm),parent(t2:2)],[f_80_3]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep 19 16:20:05 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.78/1.12  % SZS status Theorem for theBenchmark
% 0.78/1.12  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------