TSTP Solution File: SET081-7 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 : Tue Jul 19 04:35:24 EDT 2022

% Result   : Unsatisfiable 0.79s 0.97s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_only_member_in_singleton_2,negated_conjecture,
    y != x,
    input ).

cnf(unordered_pair_member,axiom,
    ( ~ member(X32,unordered_pair(X34,X33))
    | X32 = X34
    | X32 = X33 ),
    input ).

cnf(singleton_in_unordered_pair2,axiom,
    subclass(singleton(X57),unordered_pair(X58,X57)),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X7,X6)
    | ~ member(X5,X7)
    | member(X5,X6) ),
    input ).

cnf(prove_only_member_in_singleton_1,negated_conjecture,
    member(y,singleton(x)),
    input ).

cnf(c57,plain,
    ( ~ subclass(singleton(x),X354)
    | member(y,X354) ),
    inference(resolution,status(thm),[prove_only_member_in_singleton_1,subclass_members]) ).

cnf(c1094,plain,
    member(y,unordered_pair(X358,x)),
    inference(resolution,status(thm),[c57,singleton_in_unordered_pair2]) ).

cnf(c1216,plain,
    ( y = X366
    | y = x ),
    inference(resolution,status(thm),[c1094,unordered_pair_member]) ).

cnf(c1383,plain,
    y = X367,
    inference(resolution,status(thm),[c1216,prove_only_member_in_singleton_2]) ).

cnf(c1408,plain,
    $false,
    inference(resolution,status(thm),[c1383,prove_only_member_in_singleton_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET081-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n025.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 : Sat Jul  9 19:21:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.79/0.97  # Version:  1.3
% 0.79/0.97  # SZS status Unsatisfiable
% 0.79/0.97  # SZS output start CNFRefutation
% See solution above
% 0.79/0.97  
% 0.79/0.97  # Initial clauses    : 168
% 0.79/0.97  # Processed clauses  : 200
% 0.79/0.97  # Factors computed   : 1
% 0.79/0.97  # Resolvents computed: 1373
% 0.79/0.97  # Tautologies deleted: 7
% 0.79/0.97  # Forward subsumed   : 90
% 0.79/0.97  # Backward subsumed  : 3
% 0.79/0.97  # -------- CPU Time ---------
% 0.79/0.97  # User time          : 0.605 s
% 0.79/0.97  # System time        : 0.020 s
% 0.79/0.97  # Total time         : 0.625 s
%------------------------------------------------------------------------------