TSTP Solution File: SET001-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET001-1 : TPTP v8.1.0. Released v1.0.0.
% 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 04:33:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_element_of_bb,negated_conjecture,
    ~ member(element_of_b,bb),
    input ).

cnf(element_of_b,plain,
    member(element_of_b,b),
    input ).

cnf(b_equals_bb,plain,
    equal_sets(b,bb),
    input ).

cnf(set_equal_sets_are_subsets1,axiom,
    ( ~ equal_sets(X2,X3)
    | subset(X2,X3) ),
    input ).

cnf(c0,plain,
    subset(b,bb),
    inference(resolution,status(thm),[set_equal_sets_are_subsets1,b_equals_bb]) ).

cnf(membership_in_subsets,axiom,
    ( ~ member(X4,X6)
    | ~ subset(X6,X5)
    | member(X4,X5) ),
    input ).

cnf(c1,plain,
    ( ~ member(X9,b)
    | member(X9,bb) ),
    inference(resolution,status(thm),[membership_in_subsets,c0]) ).

cnf(c4,plain,
    member(element_of_b,bb),
    inference(resolution,status(thm),[c1,element_of_b]) ).

cnf(c5,plain,
    $false,
    inference(resolution,status(thm),[c4,prove_element_of_bb]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n025.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 : Mon Jul 11 02:54:32 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.52  # Version:  1.3
% 0.20/0.52  # SZS status Unsatisfiable
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  
% 0.20/0.52  # Initial clauses    : 9
% 0.20/0.52  # Processed clauses  : 10
% 0.20/0.52  # Factors computed   : 0
% 0.20/0.52  # Resolvents computed: 6
% 0.20/0.52  # Tautologies deleted: 0
% 0.20/0.52  # Forward subsumed   : 0
% 0.20/0.52  # Backward subsumed  : 0
% 0.20/0.52  # -------- CPU Time ---------
% 0.20/0.52  # User time          : 0.162 s
% 0.20/0.52  # System time        : 0.017 s
% 0.20/0.52  # Total time         : 0.179 s
%------------------------------------------------------------------------------