%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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  : 600s
% DateTime : Wed Jul 20 21:15:56 EDT 2022

% Result   : Theorem 26.06s 26.25s
% Output   : Refutation 26.06s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0007,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(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7)) )
   => leq(n0,pv1325) ),
    input ).

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(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7)) )
     => leq(n0,pv1325) ),
    inference(assume_negation,status(cth),[gauss_array_0007]) ).

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(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & ~ leq(n0,pv1325) ),
    inference(fof_nnf,status(thm),[c66]) ).

cnf(c78,negated_conjecture,
    ~ leq(n0,pv1325),
    inference(split_conjunct,status(thm),[c67]) ).

fof(gt_2_0,axiom,
    gt(n2,n0),
    input ).

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

fof(leq_gt1,axiom,
    ! [X,Y] :
      ( gt(Y,X)
     => leq(X,Y) ),
    input ).

fof(c437,axiom,
    ! [X,Y] :
      ( ~ gt(Y,X)
      | leq(X,Y) ),
    inference(fof_nnf,status(thm),[leq_gt1]) ).

fof(c438,axiom,
    ! [X160,X161] :
      ( ~ gt(X161,X160)
      | leq(X160,X161) ),
    inference(variable_rename,status(thm),[c437]) ).

cnf(c439,axiom,
    ( ~ gt(X213,X212)
    | leq(X212,X213) ),
    inference(split_conjunct,status(thm),[c438]) ).

cnf(c519,plain,
    leq(n0,n2),
    inference(resolution,status(thm),[c439,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) ),
    input ).

fof(c452,axiom,
    ! [X,Y,Z] :
      ( ~ leq(X,Y)
      | ~ leq(Y,Z)
      | leq(X,Z) ),
    inference(fof_nnf,status(thm),[transitivity_leq]) ).

fof(c453,axiom,
    ! [X170,X171,X172] :
      ( ~ leq(X170,X171)
      | ~ leq(X171,X172)
      | leq(X170,X172) ),
    inference(variable_rename,status(thm),[c452]) ).

cnf(c454,axiom,
    ( ~ leq(X2210,X2211)
    | ~ leq(X2211,X2209)
    | leq(X2210,X2209) ),
    inference(split_conjunct,status(thm),[c453]) ).

cnf(c30829,plain,
    ( ~ leq(X2425,n2)
    | leq(X2425,pv1325) ),
    inference(resolution,status(thm),[c454,c71]) ).

cnf(c39898,plain,
    leq(n0,pv1325),
    inference(resolution,status(thm),[c30829,c519]) ).

cnf(c40266,plain,
    $false,
    inference(resolution,status(thm),[c39898,c78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 21:53:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 26.06/26.25  # Version:  1.3
% 26.06/26.25  # SZS status Theorem
% 26.06/26.25  # SZS output start CNFRefutation
% See solution above
% 26.06/26.25  
% 26.06/26.25  # Initial clauses    : 323
% 26.06/26.25  # Processed clauses  : 1129
% 26.06/26.25  # Factors computed   : 1
% 26.06/26.25  # Resolvents computed: 39886
% 26.06/26.25  # Tautologies deleted: 2
% 26.06/26.25  # Forward subsumed   : 769
% 26.06/26.25  # Backward subsumed  : 0
% 26.06/26.25  # -------- CPU Time ---------
% 26.06/26.25  # User time          : 25.734 s
% 26.06/26.25  # System time        : 0.161 s
% 26.06/26.25  # Total time         : 25.895 s
%------------------------------------------------------------------------------