%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP022-2 : 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 : Sat Jul 16 11:21:20 EDT 2022

% Result   : Unsatisfiable 28.25s 28.48s
% Output   : Refutation 28.25s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse_of_inverse_is_original,negated_conjecture,
    inverse(inverse(a)) != a,
    input ).

cnf(associativity,axiom,
    multiply(multiply(X15,X14),X16) = multiply(X15,multiply(X14,X16)),
    input ).

cnf(transitivity,axiom,
    ( X22 != X21
    | X21 != X23
    | X22 = X23 ),
    eq_axiom ).

cnf(c14,plain,
    ( X55 != multiply(multiply(X54,X56),X53)
    | X55 = multiply(X54,multiply(X56,X53)) ),
    inference(resolution,status(thm),[transitivity,associativity]) ).

cnf(symmetry,axiom,
    ( X6 != X5
    | X5 = X6 ),
    eq_axiom ).

cnf(left_identity,axiom,
    multiply(identity,X3) = X3,
    input ).

cnf(c12,plain,
    ( X30 != multiply(identity,X29)
    | X30 = X29 ),
    inference(resolution,status(thm),[transitivity,left_identity]) ).

cnf(right_inverse,axiom,
    multiply(X13,inverse(X13)) = identity,
    input ).

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

cnf(c0,plain,
    ( X33 != X35
    | X34 != X32
    | multiply(X33,X34) = multiply(X35,X32) ),
    eq_axiom ).

cnf(c47,plain,
    ( X151 != X150
    | multiply(X151,X152) = multiply(X150,X152) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c847,plain,
    multiply(multiply(X1288,inverse(X1288)),X1289) = multiply(identity,X1289),
    inference(resolution,status(thm),[c47,right_inverse]) ).

cnf(c22676,plain,
    multiply(multiply(X1293,inverse(X1293)),X1292) = X1292,
    inference(resolution,status(thm),[c847,c12]) ).

cnf(c22797,plain,
    X1294 = multiply(multiply(X1295,inverse(X1295)),X1294),
    inference(resolution,status(thm),[c22676,symmetry]) ).

cnf(c22876,plain,
    X1301 = multiply(X1300,multiply(inverse(X1300),X1301)),
    inference(resolution,status(thm),[c22797,c14]) ).

cnf(right_identity,axiom,
    multiply(X4,identity) = X4,
    input ).

cnf(c15,plain,
    ( X40 != multiply(X41,identity)
    | X40 = X41 ),
    inference(resolution,status(thm),[transitivity,right_identity]) ).

cnf(c44,plain,
    ( X131 != X130
    | multiply(X131,multiply(X129,inverse(X129))) = multiply(X130,identity) ),
    inference(resolution,status(thm),[c0,right_inverse]) ).

cnf(c627,plain,
    multiply(X1065,multiply(X1064,inverse(X1064))) = multiply(X1065,identity),
    inference(resolution,status(thm),[c44,reflexivity]) ).

cnf(c18077,plain,
    multiply(X1067,multiply(X1066,inverse(X1066))) = X1067,
    inference(resolution,status(thm),[c627,c15]) ).

cnf(c18167,plain,
    ( X2275 != multiply(X2273,multiply(X2274,inverse(X2274)))
    | X2275 = X2273 ),
    inference(resolution,status(thm),[c18077,transitivity]) ).

cnf(c44088,plain,
    inverse(inverse(X2279)) = X2279,
    inference(resolution,status(thm),[c18167,c22876]) ).

cnf(c44311,plain,
    $false,
    inference(resolution,status(thm),[c44088,prove_inverse_of_inverse_is_original]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 14:14:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 28.25/28.48  # Version:  1.3
% 28.25/28.48  # SZS status Unsatisfiable
% 28.25/28.48  # SZS output start CNFRefutation
% See solution above
% 28.25/28.48  
% 28.25/28.48  # Initial clauses    : 11
% 28.25/28.48  # Processed clauses  : 753
% 28.25/28.48  # Factors computed   : 0
% 28.25/28.48  # Resolvents computed: 44356
% 28.25/28.48  # Tautologies deleted: 1
% 28.25/28.48  # Forward subsumed   : 1673
% 28.25/28.48  # Backward subsumed  : 45
% 28.25/28.48  # -------- CPU Time ---------
% 28.25/28.48  # User time          : 27.975 s
% 28.25/28.48  # System time        : 0.113 s
% 28.25/28.48  # Total time         : 28.088 s
%------------------------------------------------------------------------------