%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 49.73s 49.91s
% Output   : Refutation 49.73s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_equals_d,negated_conjecture,
    c != d,
    input ).

cnf(symmetry,axiom,
    ( X40 != X41
    | X41 = X40 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X143 != X145
    | X145 != X144
    | X143 = X144 ),
    eq_axiom ).

cnf(clause35,axiom,
    multiply(X9,X9) = X9,
    input ).

cnf(c246,plain,
    ( X150 != multiply(X149,X149)
    | X150 = X149 ),
    inference(resolution,status(thm),[transitivity,clause35]) ).

cnf(clause44,axiom,
    product(a,multiply(b,X123),multiply(X124,X123)),
    input ).

cnf(multiplication_is_well_defined,axiom,
    ( ~ product(X116,X118,X117)
    | ~ product(X116,X118,X115)
    | X117 = X115 ),
    input ).

cnf(c181,plain,
    ( ~ product(a,multiply(b,X1494),X1495)
    | X1495 = multiply(X1493,X1494) ),
    inference(resolution,status(thm),[clause44,multiplication_is_well_defined]) ).

cnf(c3992,plain,
    multiply(X1780,X1782) = multiply(X1781,X1782),
    inference(resolution,status(thm),[c181,clause44]) ).

cnf(c6766,plain,
    multiply(X1788,X1787) = X1787,
    inference(resolution,status(thm),[c3992,c246]) ).

cnf(c6810,plain,
    ( X2793 != multiply(X2791,X2792)
    | X2793 = X2792 ),
    inference(resolution,status(thm),[c6766,transitivity]) ).

cnf(clause43,axiom,
    product(X96,multiply(X96,X97),multiply(X96,X97)),
    input ).

cnf(c163,plain,
    ( ~ product(X1407,multiply(X1407,X1405),X1406)
    | X1406 = multiply(X1407,X1405) ),
    inference(resolution,status(thm),[multiplication_is_well_defined,clause43]) ).

cnf(closure_of_multiplication,axiom,
    product(X7,X8,multiply(X7,X8)),
    input ).

cnf(clause32,axiom,
    sum(X6,X6,additive_identity),
    input ).

cnf(distributivity4,axiom,
    ( ~ product(X106,X102,X103)
    | ~ product(X104,X102,X101)
    | ~ sum(X106,X104,X100)
    | ~ sum(X103,X101,X105)
    | product(X100,X102,X105) ),
    input ).

cnf(c111,plain,
    ( ~ product(X1155,X1153,X1157)
    | ~ product(X1156,X1153,X1157)
    | ~ sum(X1155,X1156,X1154)
    | product(X1154,X1153,additive_identity) ),
    inference(resolution,status(thm),[distributivity4,clause32]) ).

cnf(c2687,plain,
    ( ~ product(X7197,X7198,X7196)
    | product(additive_identity,X7198,additive_identity) ),
    inference(resolution,status(thm),[c111,clause32]) ).

cnf(c58068,plain,
    product(additive_identity,X7199,additive_identity),
    inference(resolution,status(thm),[c2687,closure_of_multiplication]) ).

cnf(c58111,plain,
    additive_identity = multiply(additive_identity,X7218),
    inference(resolution,status(thm),[c58068,c163]) ).

cnf(c58273,plain,
    additive_identity = X7222,
    inference(resolution,status(thm),[c58111,c6810]) ).

cnf(c58392,plain,
    X7238 = additive_identity,
    inference(resolution,status(thm),[c58273,symmetry]) ).

cnf(c58431,plain,
    ( X7375 != additive_identity
    | X7375 = X7374 ),
    inference(resolution,status(thm),[c58273,transitivity]) ).

cnf(c59653,plain,
    X7377 = X7376,
    inference(resolution,status(thm),[c58431,c58392]) ).

cnf(c59742,plain,
    $false,
    inference(resolution,status(thm),[c59653,prove_c_equals_d]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 11:20:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 49.73/49.91  # Version:  1.3
% 49.73/49.91  # SZS status Unsatisfiable
% 49.73/49.91  # SZS output start CNFRefutation
% See solution above
% 49.73/49.91  
% 49.73/49.91  # Initial clauses    : 68
% 49.73/49.91  # Processed clauses  : 1240
% 49.73/49.91  # Factors computed   : 40
% 49.73/49.91  # Resolvents computed: 59704
% 49.73/49.91  # Tautologies deleted: 21
% 49.73/49.91  # Forward subsumed   : 3698
% 49.73/49.91  # Backward subsumed  : 524
% 49.73/49.91  # -------- CPU Time ---------
% 49.73/49.91  # User time          : 49.442 s
% 49.73/49.91  # System time        : 0.128 s
% 49.73/49.91  # Total time         : 49.570 s
%------------------------------------------------------------------------------