↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 : Tue Sep  8 06:11:35 AM UTC 2026

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   8   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conjecture,plain,
    issue(pi1) != issue(pi2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).

fof(conjecture_negated,plain,
    ~ ( issue(pi1) != issue(pi2) ),
    inference(negate_conjecture,[status(cth)],[conjecture]) ).

cnf(4,plain,
    issue(pi1) = issue(pi2),
    inference(cnf,[status(esa)],[conjecture_negated]) ).

cnf(l0,plain,
    issue(pi1) = issue(pi2),
    inference(instantiation,[status(thm)],[4]) ).

fof(issue_injective,plain,
    ! [A,B] :
      ( issue(A) = issue(B)
     => A = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',issue_injective) ).

cnf(0,plain,
    ( issue(X0) != issue(X1)
    | X0 = X1 ),
    inference(cnf,[status(esa)],[issue_injective]) ).

cnf(l1,plain,
    ( issue(pi1) != issue(pi2)
    | pi1 = pi2 ),
    inference(instantiation,[status(thm)],[0]) ).

fof(pi1_neq_pi2,plain,
    pi1 != pi2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pi1_neq_pi2) ).

cnf(3,plain,
    pi1 != pi2,
    inference(cnf,[status(esa)],[pi1_neq_pi2]) ).

cnf(l2,plain,
    pi1 != pi2,
    inference(instantiation,[status(thm)],[3]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT115+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n002.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep  7 14:11:22 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.13/0.36  % launching worker at depth: 1
% 0.13/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % launching worker at depth: 3
% 0.13/0.36  % launching worker at depth: 4
% 0.13/0.36  % launching worker at depth: 5
% 0.13/0.36  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 2
% 0.13/0.36  % SZS status Theorem for theBenchmark
% 0.13/0.36  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------