%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP017-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 : Sat Jul 16 11:21:18 EDT 2022

% Result   : Unsatisfiable 0.69s 0.88s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_equals_c,negated_conjecture,
    b != c,
    input ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    input ).

cnf(total_function2,axiom,
    ( ~ product(X11,X12,X9)
    | ~ product(X11,X12,X10)
    | X9 = X10 ),
    input ).

cnf(c9,plain,
    ( ~ product(identity,X16,X17)
    | X17 = X16 ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

cnf(b_times_a_is_identity,plain,
    product(b,a,identity),
    input ).

cnf(a_times_c_is_identity,plain,
    product(a,c,identity),
    input ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    input ).

cnf(associativity2,axiom,
    ( ~ product(X29,X32,X30)
    | ~ product(X32,X28,X27)
    | ~ product(X29,X27,X31)
    | product(X30,X28,X31) ),
    input ).

cnf(c38,plain,
    ( ~ product(X193,X191,X194)
    | ~ product(X191,X192,identity)
    | product(X194,X192,X193) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c493,plain,
    ( ~ product(X265,a,X266)
    | product(X266,c,X265) ),
    inference(resolution,status(thm),[c38,a_times_c_is_identity]) ).

cnf(c1226,plain,
    product(identity,c,b),
    inference(resolution,status(thm),[c493,b_times_a_is_identity]) ).

cnf(c1250,plain,
    b = c,
    inference(resolution,status(thm),[c1226,c9]) ).

cnf(c1271,plain,
    $false,
    inference(resolution,status(thm),[c1250,prove_b_equals_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP017-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n005.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 : Mon Jun 13 12:38:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.69/0.88  # Version:  1.3
% 0.69/0.88  # SZS status Unsatisfiable
% 0.69/0.88  # SZS output start CNFRefutation
% See solution above
% 0.69/0.88  
% 0.69/0.88  # Initial clauses    : 19
% 0.69/0.88  # Processed clauses  : 132
% 0.69/0.88  # Factors computed   : 2
% 0.69/0.88  # Resolvents computed: 1268
% 0.69/0.88  # Tautologies deleted: 4
% 0.69/0.88  # Forward subsumed   : 130
% 0.69/0.88  # Backward subsumed  : 0
% 0.69/0.88  # -------- CPU Time ---------
% 0.69/0.88  # User time          : 0.518 s
% 0.69/0.88  # System time        : 0.018 s
% 0.69/0.88  # Total time         : 0.536 s
%------------------------------------------------------------------------------