TSTP Solution File: SWV389+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 21:17:04 EDT 2022

% Result   : Theorem 7.30s 7.53s
% Output   : Refutation 7.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(l25_co,conjecture,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
        | ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
    input ).

fof(c24,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
          | ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
    inference(assume_negation,status(cth),[l25_co]) ).

fof(c25,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
          | ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
    inference(fof_simplification,status(thm),[c24]) ).

fof(c26,negated_conjecture,
    ? [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
      & check_cpq(removemin_cpq_eff(triple(U,V,W)))
      & ok(removemin_cpq_eff(triple(U,V,W))) ),
    inference(fof_nnf,status(thm),[c25]) ).

fof(c27,negated_conjecture,
    ? [X2,X3,X4] :
      ( ~ check_cpq(triple(X2,X3,X4))
      & check_cpq(removemin_cpq_eff(triple(X2,X3,X4)))
      & ok(removemin_cpq_eff(triple(X2,X3,X4))) ),
    inference(variable_rename,status(thm),[c26]) ).

fof(c28,negated_conjecture,
    ( ~ check_cpq(triple(skolem0001,skolem0002,skolem0003))
    & check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003)))
    & ok(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))) ),
    inference(skolemize,status(esa),[c27]) ).

cnf(c29,negated_conjecture,
    ~ check_cpq(triple(skolem0001,skolem0002,skolem0003)),
    inference(split_conjunct,status(thm),[c28]) ).

cnf(c30,negated_conjecture,
    check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))),
    inference(split_conjunct,status(thm),[c28]) ).

cnf(c31,negated_conjecture,
    ok(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))),
    inference(split_conjunct,status(thm),[c28]) ).

fof(l25_l40,plain,
    ! [U,V,W] :
      ( ( check_cpq(removemin_cpq_eff(triple(U,V,W)))
        & ok(removemin_cpq_eff(triple(U,V,W))) )
     => check_cpq(triple(U,V,W)) ),
    input ).

fof(c32,plain,
    ! [U,V,W] :
      ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
      | ~ ok(removemin_cpq_eff(triple(U,V,W)))
      | check_cpq(triple(U,V,W)) ),
    inference(fof_nnf,status(thm),[l25_l40]) ).

fof(c33,plain,
    ! [X5,X6,X7] :
      ( ~ check_cpq(removemin_cpq_eff(triple(X5,X6,X7)))
      | ~ ok(removemin_cpq_eff(triple(X5,X6,X7)))
      | check_cpq(triple(X5,X6,X7)) ),
    inference(variable_rename,status(thm),[c32]) ).

cnf(c34,plain,
    ( ~ check_cpq(removemin_cpq_eff(triple(X410,X411,X409)))
    | ~ ok(removemin_cpq_eff(triple(X410,X411,X409)))
    | check_cpq(triple(X410,X411,X409)) ),
    inference(split_conjunct,status(thm),[c33]) ).

cnf(c613,plain,
    ( ~ check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003)))
    | check_cpq(triple(skolem0001,skolem0002,skolem0003)) ),
    inference(resolution,status(thm),[c34,c31]) ).

cnf(c12988,plain,
    check_cpq(triple(skolem0001,skolem0002,skolem0003)),
    inference(resolution,status(thm),[c613,c30]) ).

cnf(c12990,plain,
    $false,
    inference(resolution,status(thm),[c12988,c29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV389+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n013.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 : Wed Jun 15 13:10:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 7.30/7.53  # Version:  1.3
% 7.30/7.53  # SZS status Theorem
% 7.30/7.53  # SZS output start CNFRefutation
% See solution above
% 7.30/7.53  
% 7.30/7.53  # Initial clauses    : 81
% 7.30/7.53  # Processed clauses  : 961
% 7.30/7.53  # Factors computed   : 7
% 7.30/7.53  # Resolvents computed: 12797
% 7.30/7.53  # Tautologies deleted: 6
% 7.30/7.53  # Forward subsumed   : 588
% 7.30/7.53  # Backward subsumed  : 4
% 7.30/7.53  # -------- CPU Time ---------
% 7.30/7.53  # User time          : 7.170 s
% 7.30/7.53  # System time        : 0.028 s
% 7.30/7.53  # Total time         : 7.198 s
%------------------------------------------------------------------------------