%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 : Thu Jul 21 11:24:54 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel24_1,axiom,
    ~ ? [X] :
        ( big_s(X)
        & big_q(X) ),
    input ).

fof(c16,axiom,
    ! [X] :
      ( ~ big_s(X)
      | ~ big_q(X) ),
    inference(fof_nnf,status(thm),[pel24_1]) ).

fof(c17,axiom,
    ! [X7] :
      ( ~ big_s(X7)
      | ~ big_q(X7) ),
    inference(variable_rename,status(thm),[c16]) ).

cnf(c18,axiom,
    ( ~ big_s(X11)
    | ~ big_q(X11) ),
    inference(split_conjunct,status(thm),[c17]) ).

fof(pel24_3,axiom,
    ( ~ ? [X] : big_p(X)
   => ? [Y] : big_q(Y) ),
    input ).

fof(c9,axiom,
    ( ? [X] : big_p(X)
    | ? [Y] : big_q(Y) ),
    inference(fof_nnf,status(thm),[pel24_3]) ).

fof(c10,axiom,
    ( ? [X4] : big_p(X4)
    | ? [X5] : big_q(X5) ),
    inference(variable_rename,status(thm),[c9]) ).

fof(c11,axiom,
    ( big_p(skolem0001)
    | big_q(skolem0002) ),
    inference(skolemize,status(esa),[c10]) ).

cnf(c12,axiom,
    ( big_p(skolem0001)
    | big_q(skolem0002) ),
    inference(split_conjunct,status(thm),[c11]) ).

cnf(c19,plain,
    ( big_p(skolem0001)
    | ~ big_s(skolem0002) ),
    inference(resolution,status(thm),[c12,c18]) ).

fof(pel24_4,axiom,
    ! [X] :
      ( ( big_q(X)
        | big_r(X) )
     => big_s(X) ),
    input ).

fof(c4,axiom,
    ! [X] :
      ( ( ~ big_q(X)
        & ~ big_r(X) )
      | big_s(X) ),
    inference(fof_nnf,status(thm),[pel24_4]) ).

fof(c5,axiom,
    ! [X3] :
      ( ( ~ big_q(X3)
        & ~ big_r(X3) )
      | big_s(X3) ),
    inference(variable_rename,status(thm),[c4]) ).

fof(c6,axiom,
    ! [X3] :
      ( ( ~ big_q(X3)
        | big_s(X3) )
      & ( ~ big_r(X3)
        | big_s(X3) ) ),
    inference(distribute,status(thm),[c5]) ).

cnf(c7,axiom,
    ( ~ big_q(X9)
    | big_s(X9) ),
    inference(split_conjunct,status(thm),[c6]) ).

cnf(c20,plain,
    ( big_p(skolem0001)
    | big_s(skolem0002) ),
    inference(resolution,status(thm),[c12,c7]) ).

cnf(c23,plain,
    big_p(skolem0001),
    inference(resolution,status(thm),[c20,c19]) ).

fof(pel24,conjecture,
    ? [X] :
      ( big_p(X)
      & big_r(X) ),
    input ).

fof(c0,negated_conjecture,
    ~ ? [X] :
        ( big_p(X)
        & big_r(X) ),
    inference(assume_negation,status(cth),[pel24]) ).

fof(c1,negated_conjecture,
    ! [X] :
      ( ~ big_p(X)
      | ~ big_r(X) ),
    inference(fof_nnf,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ! [X2] :
      ( ~ big_p(X2)
      | ~ big_r(X2) ),
    inference(variable_rename,status(thm),[c1]) ).

cnf(c3,negated_conjecture,
    ( ~ big_p(X8)
    | ~ big_r(X8) ),
    inference(split_conjunct,status(thm),[c2]) ).

fof(pel24_2,axiom,
    ! [X] :
      ( big_p(X)
     => ( big_q(X)
        | big_r(X) ) ),
    input ).

fof(c13,axiom,
    ! [X] :
      ( ~ big_p(X)
      | big_q(X)
      | big_r(X) ),
    inference(fof_nnf,status(thm),[pel24_2]) ).

fof(c14,axiom,
    ! [X6] :
      ( ~ big_p(X6)
      | big_q(X6)
      | big_r(X6) ),
    inference(variable_rename,status(thm),[c13]) ).

cnf(c15,axiom,
    ( ~ big_p(X12)
    | big_q(X12)
    | big_r(X12) ),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c24,plain,
    ( big_q(skolem0001)
    | big_r(skolem0001) ),
    inference(resolution,status(thm),[c23,c15]) ).

cnf(c25,plain,
    ( big_r(skolem0001)
    | ~ big_s(skolem0001) ),
    inference(resolution,status(thm),[c24,c18]) ).

cnf(c26,plain,
    ( big_r(skolem0001)
    | big_s(skolem0001) ),
    inference(resolution,status(thm),[c24,c7]) ).

cnf(c31,plain,
    big_r(skolem0001),
    inference(resolution,status(thm),[c26,c25]) ).

cnf(c34,plain,
    ~ big_p(skolem0001),
    inference(resolution,status(thm),[c31,c3]) ).

cnf(c35,plain,
    $false,
    inference(resolution,status(thm),[c34,c23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN054+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n019.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  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 09:10:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.51  # Version:  1.3
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  # Initial clauses    : 6
% 0.19/0.51  # Processed clauses  : 15
% 0.19/0.51  # Factors computed   : 0
% 0.19/0.51  # Resolvents computed: 17
% 0.19/0.51  # Tautologies deleted: 0
% 0.19/0.51  # Forward subsumed   : 4
% 0.19/0.51  # Backward subsumed  : 6
% 0.19/0.51  # -------- CPU Time ---------
% 0.19/0.51  # User time          : 0.166 s
% 0.19/0.51  # System time        : 0.013 s
% 0.19/0.51  # Total time         : 0.178 s
%------------------------------------------------------------------------------