↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV386+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 : Fri Jul 25 04:46:49 PM UTC 2025

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  13   ~;   4   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   16 (   1 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l22_co,plain,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ! [X] :
          ( ~ check_cpq(insert_cpq(triple(U,V,W),X))
          | ~ ok(insert_cpq(triple(U,V,W),X)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_co) ).

fof(l22_co_negated,plain,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ! [X] :
            ( ~ check_cpq(insert_cpq(triple(U,V,W),X))
            | ~ ok(insert_cpq(triple(U,V,W),X)) ) ),
    inference(negate_conjecture,[status(cth)],[l22_co]) ).

cnf(51,plain,
    ~ check_cpq(triple(sK1,sK2,sK3)),
    inference(cnf,[status(esa)],[l22_co_negated]) ).

cnf(l0,plain,
    ~ check_cpq(triple(sK1,sK2,sK3)),
    inference(instantiation,[status(thm)],[51]) ).

fof(l22_l26,plain,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_l26) ).

cnf(50,plain,
    ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf,[status(esa)],[l22_l26]) ).

cnf(l1,plain,
    ( ~ check_cpq(insert_cpq(triple(sK1,sK2,sK3),sK4))
    | check_cpq(triple(sK1,sK2,sK3)) ),
    inference(instantiation,[status(thm)],[50]) ).

cnf(52,plain,
    check_cpq(insert_cpq(triple(sK1,sK2,sK3),sK4)),
    inference(cnf,[status(esa)],[l22_co_negated]) ).

cnf(l2,plain,
    check_cpq(insert_cpq(triple(sK1,sK2,sK3),sK4)),
    inference(instantiation,[status(thm)],[52]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWV386+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n026.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 : Tue Jul 22 09:08:04 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 9
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------