TSTP Solution File: SET024-7 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 04:34:27 EDT 2022

% Result   : Unsatisfiable 1.24s 1.44s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
    ~ member(x,singleton(x)),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X17 != X16
    | subclass(X17,X16) ),
    input ).

cnf(singleton_set,axiom,
    unordered_pair(X50,X50) = singleton(X50),
    input ).

cnf(c66,plain,
    subclass(unordered_pair(X66,X66),singleton(X66)),
    inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).

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

cnf(prove_set_in_its_singleton_1,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(unordered_pair2,axiom,
    ( ~ member(X47,universal_class)
    | member(X47,unordered_pair(X47,X46)) ),
    input ).

cnf(c62,plain,
    member(x,unordered_pair(x,X61)),
    inference(resolution,status(thm),[unordered_pair2,prove_set_in_its_singleton_1]) ).

cnf(c80,plain,
    ( ~ subclass(unordered_pair(x,X529),X528)
    | member(x,X528) ),
    inference(resolution,status(thm),[c62,subclass_members]) ).

cnf(c2385,plain,
    member(x,singleton(x)),
    inference(resolution,status(thm),[c80,c66]) ).

cnf(c2427,plain,
    $false,
    inference(resolution,status(thm),[c2385,prove_set_in_its_singleton_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 08:05:13 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.24/1.44  # Version:  1.3
% 1.24/1.44  # SZS status Unsatisfiable
% 1.24/1.44  # SZS output start CNFRefutation
% See solution above
% 1.24/1.44  
% 1.24/1.44  # Initial clauses    : 165
% 1.24/1.44  # Processed clauses  : 318
% 1.24/1.44  # Factors computed   : 2
% 1.24/1.44  # Resolvents computed: 2387
% 1.24/1.44  # Tautologies deleted: 10
% 1.24/1.44  # Forward subsumed   : 142
% 1.24/1.44  # Backward subsumed  : 2
% 1.24/1.44  # -------- CPU Time ---------
% 1.24/1.44  # User time          : 1.068 s
% 1.24/1.44  # System time        : 0.012 s
% 1.24/1.44  # Total time         : 1.080 s
%------------------------------------------------------------------------------