↑ Up

PyRes---1.5.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 May  9 17:44:18 EDT 2024

% Result   : Theorem 21.01s 21.17s
% Output   : Refutation 21.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   53 (  13   ~;  10   |;  26   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0006,conjecture,
    ( ( leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n2,pv1325)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv1325,n3)
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0006) ).

fof(c66,negated_conjecture,
    ~ ( ( leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n2,pv1325)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv1325,n3)
        & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
     => leq(n0,pv1325) ),
    inference(assume_negation,[status(cth)],[gauss_array_0006]) ).

fof(c67,negated_conjecture,
    ( leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n2,pv1325)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv1325,n3)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & ~ leq(n0,pv1325) ),
    inference(fof_nnf,[status(thm)],[c66]) ).

cnf(c77,negated_conjecture,
    ~ leq(n0,pv1325),
    inference(split_conjunct,[status(thm)],[c67]) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

cnf(c55,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

fof(leq_gt1,axiom,
    ! [X,Y] :
      ( gt(Y,X)
     => leq(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(c436,plain,
    ! [X,Y] :
      ( ~ gt(Y,X)
      | leq(X,Y) ),
    inference(fof_nnf,[status(thm)],[leq_gt1]) ).

fof(c437,plain,
    ! [X160,X161] :
      ( ~ gt(X161,X160)
      | leq(X160,X161) ),
    inference(variable_rename,[status(thm)],[c436]) ).

cnf(c438,plain,
    ( ~ gt(X213,X212)
    | leq(X212,X213) ),
    inference(split_conjunct,[status(thm)],[c437]) ).

cnf(c518,plain,
    leq(n0,n2),
    inference(resolution,[status(thm)],[c438,c55]) ).

cnf(c71,negated_conjecture,
    leq(n2,pv1325),
    inference(split_conjunct,[status(thm)],[c67]) ).

fof(transitivity_leq,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & leq(Y,Z) )
     => leq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(c451,plain,
    ! [X,Y,Z] :
      ( ~ leq(X,Y)
      | ~ leq(Y,Z)
      | leq(X,Z) ),
    inference(fof_nnf,[status(thm)],[transitivity_leq]) ).

fof(c452,plain,
    ! [X170,X171,X172] :
      ( ~ leq(X170,X171)
      | ~ leq(X171,X172)
      | leq(X170,X172) ),
    inference(variable_rename,[status(thm)],[c451]) ).

cnf(c453,plain,
    ( ~ leq(X2206,X2204)
    | ~ leq(X2204,X2205)
    | leq(X2206,X2205) ),
    inference(split_conjunct,[status(thm)],[c452]) ).

cnf(c31029,plain,
    ( ~ leq(X2277,n2)
    | leq(X2277,pv1325) ),
    inference(resolution,[status(thm)],[c453,c71]) ).

cnf(c33252,plain,
    leq(n0,pv1325),
    inference(resolution,[status(thm)],[c31029,c518]) ).

cnf(c33437,plain,
    $false,
    inference(resolution,[status(thm)],[c33252,c77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  9 05:49:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 21.01/21.17  % Version:  1.5
% 21.01/21.17  % SZS status Theorem
% 21.01/21.17  % SZS output start CNFRefutation
% See solution above
% 21.01/21.17  
% 21.01/21.17  % Initial clauses    : 322
% 21.01/21.17  % Processed clauses  : 988
% 21.01/21.17  % Factors computed   : 400
% 21.01/21.17  % Resolvents computed: 32660
% 21.01/21.17  % Tautologies deleted: 5
% 21.01/21.17  % Forward subsumed   : 661
% 21.01/21.17  % Backward subsumed  : 0
% 21.01/21.17  % -------- CPU Time ---------
% 21.01/21.17  % User time          : 20.674 s
% 21.01/21.17  % System time        : 0.141 s
% 21.01/21.17  % Total time         : 20.815 s
%------------------------------------------------------------------------------