%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP533-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 11:23:27 EDT 2022

% Result   : Unsatisfiable 31.04s 31.27s
% Output   : Refutation 31.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    input ).

cnf(transitivity,axiom,
    ( X14 != X15
    | X15 != X16
    | X14 = X16 ),
    eq_axiom ).

cnf(multiply,axiom,
    multiply(X21,X22) = divide(X21,divide(divide(X23,X23),X22)),
    input ).

cnf(identity,axiom,
    identity = divide(X3,X3),
    input ).

cnf(symmetry,axiom,
    ( X4 != X5
    | X5 = X4 ),
    eq_axiom ).

cnf(c4,plain,
    divide(X7,X7) = identity,
    inference(resolution,status(thm),[symmetry,identity]) ).

cnf(c10,plain,
    ( X35 != divide(X34,X34)
    | X35 = identity ),
    inference(resolution,status(thm),[transitivity,c4]) ).

cnf(c34,plain,
    multiply(divide(divide(X90,X90),X89),X89) = identity,
    inference(resolution,status(thm),[c10,multiply]) ).

cnf(c116,plain,
    ( X637 != multiply(divide(divide(X636,X636),X638),X638)
    | X637 = identity ),
    inference(resolution,status(thm),[c34,transitivity]) ).

cnf(inverse,axiom,
    inverse(X12) = divide(divide(X13,X13),X12),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c1,plain,
    ( X47 != X49
    | X48 != X50
    | multiply(X47,X48) = multiply(X49,X50) ),
    eq_axiom ).

cnf(c70,plain,
    ( X178 != X177
    | multiply(X178,X179) = multiply(X177,X179) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c481,plain,
    multiply(inverse(X2853),X2854) = multiply(divide(divide(X2852,X2852),X2853),X2854),
    inference(resolution,status(thm),[c70,inverse]) ).

cnf(c58937,plain,
    multiply(inverse(X2855),X2855) = identity,
    inference(resolution,status(thm),[c481,c116]) ).

cnf(c59078,plain,
    identity = multiply(inverse(X2856),X2856),
    inference(resolution,status(thm),[c58937,symmetry]) ).

cnf(c59177,plain,
    ( X2935 != identity
    | X2935 = multiply(inverse(X2936),X2936) ),
    inference(resolution,status(thm),[c59078,transitivity]) ).

cnf(c61339,plain,
    multiply(inverse(X3008),X3008) = multiply(inverse(X3009),X3009),
    inference(resolution,status(thm),[c59177,c58937]) ).

cnf(c62824,plain,
    $false,
    inference(resolution,status(thm),[c61339,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GRP533-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 04:19:48 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 31.04/31.27  # Version:  1.3
% 31.04/31.27  # SZS status Unsatisfiable
% 31.04/31.27  # SZS output start CNFRefutation
% See solution above
% 31.04/31.27  
% 31.04/31.27  # Initial clauses    : 11
% 31.04/31.27  # Processed clauses  : 810
% 31.04/31.27  # Factors computed   : 0
% 31.04/31.27  # Resolvents computed: 62996
% 31.04/31.27  # Tautologies deleted: 1
% 31.04/31.27  # Forward subsumed   : 1253
% 31.04/31.27  # Backward subsumed  : 6
% 31.04/31.27  # -------- CPU Time ---------
% 31.04/31.27  # User time          : 30.780 s
% 31.04/31.27  # System time        : 0.128 s
% 31.04/31.27  # Total time         : 30.908 s
%------------------------------------------------------------------------------