TSTP Solution File: SYN060+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 11:25:00 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(pel30,conjecture,
    ! [X] : big_i(X),
    input ).

fof(c0,negated_conjecture,
    ~ ! [X] : big_i(X),
    inference(assume_negation,status(cth),[pel30]) ).

fof(c1,negated_conjecture,
    ? [X] : ~ big_i(X),
    inference(fof_nnf,status(thm),[c0]) ).

fof(c2,negated_conjecture,
    ? [X2] : ~ big_i(X2),
    inference(variable_rename,status(thm),[c1]) ).

fof(c3,negated_conjecture,
    ~ big_i(skolem0001),
    inference(skolemize,status(esa),[c2]) ).

cnf(c4,negated_conjecture,
    ~ big_i(skolem0001),
    inference(split_conjunct,status(thm),[c3]) ).

fof(pel30_2,axiom,
    ! [X] :
      ( ( big_g(X)
       => ~ big_i(X) )
     => ( big_f(X)
        & big_h(X) ) ),
    input ).

fof(c5,axiom,
    ! [X] :
      ( ( big_g(X)
       => ~ big_i(X) )
     => ( big_f(X)
        & big_h(X) ) ),
    inference(fof_simplification,status(thm),[pel30_2]) ).

fof(c6,axiom,
    ! [X] :
      ( ( big_g(X)
        & big_i(X) )
      | ( big_f(X)
        & big_h(X) ) ),
    inference(fof_nnf,status(thm),[c5]) ).

fof(c7,axiom,
    ! [X3] :
      ( ( big_g(X3)
        & big_i(X3) )
      | ( big_f(X3)
        & big_h(X3) ) ),
    inference(variable_rename,status(thm),[c6]) ).

fof(c8,axiom,
    ! [X3] :
      ( ( big_g(X3)
        | big_f(X3) )
      & ( big_g(X3)
        | big_h(X3) )
      & ( big_i(X3)
        | big_f(X3) )
      & ( big_i(X3)
        | big_h(X3) ) ),
    inference(distribute,status(thm),[c7]) ).

cnf(c11,axiom,
    ( big_i(X7)
    | big_f(X7) ),
    inference(split_conjunct,status(thm),[c8]) ).

cnf(c19,plain,
    big_f(skolem0001),
    inference(resolution,status(thm),[c11,c4]) ).

cnf(c12,axiom,
    ( big_i(X8)
    | big_h(X8) ),
    inference(split_conjunct,status(thm),[c8]) ).

cnf(c20,plain,
    big_h(skolem0001),
    inference(resolution,status(thm),[c12,c4]) ).

fof(pel30_1,axiom,
    ! [X] :
      ( ( big_f(X)
        | big_g(X) )
     => ~ big_h(X) ),
    input ).

fof(c13,axiom,
    ! [X] :
      ( ( big_f(X)
        | big_g(X) )
     => ~ big_h(X) ),
    inference(fof_simplification,status(thm),[pel30_1]) ).

fof(c14,axiom,
    ! [X] :
      ( ( ~ big_f(X)
        & ~ big_g(X) )
      | ~ big_h(X) ),
    inference(fof_nnf,status(thm),[c13]) ).

fof(c15,axiom,
    ! [X4] :
      ( ( ~ big_f(X4)
        & ~ big_g(X4) )
      | ~ big_h(X4) ),
    inference(variable_rename,status(thm),[c14]) ).

fof(c16,axiom,
    ! [X4] :
      ( ( ~ big_f(X4)
        | ~ big_h(X4) )
      & ( ~ big_g(X4)
        | ~ big_h(X4) ) ),
    inference(distribute,status(thm),[c15]) ).

cnf(c17,axiom,
    ( ~ big_f(X9)
    | ~ big_h(X9) ),
    inference(split_conjunct,status(thm),[c16]) ).

cnf(c22,plain,
    ~ big_f(skolem0001),
    inference(resolution,status(thm),[c17,c20]) ).

cnf(c25,plain,
    $false,
    inference(resolution,status(thm),[c22,c19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN060+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 06:01:30 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.55  # Version:  1.3
% 0.20/0.55  # SZS status Theorem
% 0.20/0.55  # SZS output start CNFRefutation
% See solution above
% 0.20/0.55  
% 0.20/0.55  # Initial clauses    : 7
% 0.20/0.55  # Processed clauses  : 9
% 0.20/0.55  # Factors computed   : 0
% 0.20/0.55  # Resolvents computed: 8
% 0.20/0.55  # Tautologies deleted: 0
% 0.20/0.55  # Forward subsumed   : 0
% 0.20/0.55  # Backward subsumed  : 0
% 0.20/0.55  # -------- CPU Time ---------
% 0.20/0.55  # User time          : 0.180 s
% 0.20/0.55  # System time        : 0.017 s
% 0.20/0.55  # Total time         : 0.197 s
%------------------------------------------------------------------------------