%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 : Mon Jul 18 20:39:30 EDT 2022

% Result   : Unsatisfiable 22.77s 22.95s
% Output   : Refutation 22.77s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_b_is_additive_identity,negated_conjecture,
    b != additive_identity,
    input ).

cnf(symmetry,axiom,
    ( X16 != X15
    | X15 = X16 ),
    eq_axiom ).

cnf(left_multiplicative_identity,plain,
    product(multiplicative_identity,X6,X6),
    input ).

cnf(multiplication_is_well_defined,axiom,
    ( ~ product(X119,X117,X116)
    | ~ product(X119,X117,X118)
    | X116 = X118 ),
    input ).

cnf(c165,plain,
    ( ~ product(multiplicative_identity,X131,X130)
    | X130 = X131 ),
    inference(resolution,status(thm),[multiplication_is_well_defined,left_multiplicative_identity]) ).

cnf(a_not_additive_identity,negated_conjecture,
    a != additive_identity,
    input ).

cnf(clause42,plain,
    ( product(h(X65),X65,multiplicative_identity)
    | X65 = additive_identity ),
    input ).

cnf(c58,plain,
    product(h(a),a,multiplicative_identity),
    inference(resolution,status(thm),[clause42,a_not_additive_identity]) ).

cnf(a_times_b,negated_conjecture,
    product(a,b,additive_identity),
    input ).

cnf(multiplicative_identity2,plain,
    product(X10,additive_identity,additive_identity),
    input ).

cnf(associativity_of_multiplication2,axiom,
    ( ~ product(X64,X59,X60)
    | ~ product(X59,X62,X63)
    | ~ product(X64,X63,X61)
    | product(X60,X62,X61) ),
    input ).

cnf(c51,plain,
    ( ~ product(X421,X422,X423)
    | ~ product(X422,X424,additive_identity)
    | product(X423,X424,additive_identity) ),
    inference(resolution,status(thm),[associativity_of_multiplication2,multiplicative_identity2]) ).

cnf(c1285,plain,
    ( ~ product(X2966,a,X2965)
    | product(X2965,b,additive_identity) ),
    inference(resolution,status(thm),[c51,a_times_b]) ).

cnf(c44771,plain,
    product(multiplicative_identity,b,additive_identity),
    inference(resolution,status(thm),[c1285,c58]) ).

cnf(c45114,plain,
    additive_identity = b,
    inference(resolution,status(thm),[c44771,c165]) ).

cnf(c45140,plain,
    b = additive_identity,
    inference(resolution,status(thm),[c45114,symmetry]) ).

cnf(c45280,plain,
    $false,
    inference(resolution,status(thm),[c45140,prove_b_is_additive_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n027.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 May 30 04:53:46 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 22.77/22.95  # Version:  1.3
% 22.77/22.95  # SZS status Unsatisfiable
% 22.77/22.95  # SZS output start CNFRefutation
% See solution above
% 22.77/22.95  
% 22.77/22.95  # Initial clauses    : 35
% 22.77/22.95  # Processed clauses  : 811
% 22.77/22.95  # Factors computed   : 10
% 22.77/22.95  # Resolvents computed: 45421
% 22.77/22.95  # Tautologies deleted: 11
% 22.77/22.95  # Forward subsumed   : 1650
% 22.77/22.95  # Backward subsumed  : 12
% 22.77/22.95  # -------- CPU Time ---------
% 22.77/22.95  # User time          : 22.506 s
% 22.77/22.95  # System time        : 0.098 s
% 22.77/22.95  # Total time         : 22.604 s
%------------------------------------------------------------------------------