%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 11:21:17 EDT 2022

% Result   : Unsatisfiable 2.60s 2.84s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

cnf(total_function2,axiom,
    ( ~ product(X13,X15,X14)
    | ~ product(X13,X15,X12)
    | X14 = X12 ),
    input ).

cnf(c9,plain,
    ( ~ product(identity,X28,X29)
    | X29 = X28 ),
    inference(resolution,status(thm),[total_function2,left_identity]) ).

cnf(left_inverse,axiom,
    product(inverse(X5),X5,identity),
    input ).

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

cnf(associativity2,axiom,
    ( ~ product(X31,X34,X30)
    | ~ product(X34,X35,X32)
    | ~ product(X31,X32,X33)
    | product(X30,X35,X33) ),
    input ).

cnf(c30,plain,
    ( ~ product(X137,X138,X135)
    | ~ product(X138,X136,identity)
    | product(X135,X136,X137) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(a_multiply_b_is_c,plain,
    product(a,b,c),
    input ).

cnf(right_inverse,axiom,
    product(X6,inverse(X6),identity),
    input ).

cnf(c266,plain,
    ( ~ product(X251,X252,X253)
    | product(X253,inverse(X252),X251) ),
    inference(resolution,status(thm),[c30,right_inverse]) ).

cnf(c1049,plain,
    product(c,inverse(b),a),
    inference(resolution,status(thm),[c266,a_multiply_b_is_c]) ).

cnf(inverse_b_multiply_inverse_a_is_d,plain,
    product(inverse(b),inverse(a),d),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X21,X24,X20)
    | ~ product(X24,X25,X22)
    | ~ product(X20,X25,X23)
    | product(X21,X22,X23) ),
    input ).

cnf(c20,plain,
    ( ~ product(X108,X111,X109)
    | ~ product(X111,inverse(X109),X110)
    | product(X108,X110,identity) ),
    inference(resolution,status(thm),[associativity1,right_inverse]) ).

cnf(c161,plain,
    ( ~ product(X490,inverse(b),a)
    | product(X490,d,identity) ),
    inference(resolution,status(thm),[c20,inverse_b_multiply_inverse_a_is_d]) ).

cnf(c3116,plain,
    product(c,d,identity),
    inference(resolution,status(thm),[c161,c1049]) ).

cnf(c3145,plain,
    ( ~ product(X794,c,X795)
    | product(X795,d,X794) ),
    inference(resolution,status(thm),[c3116,c30]) ).

cnf(c7985,plain,
    product(identity,d,inverse(c)),
    inference(resolution,status(thm),[c3145,left_inverse]) ).

cnf(c8085,plain,
    inverse(c) = d,
    inference(resolution,status(thm),[c7985,c9]) ).

cnf(c8233,plain,
    $false,
    inference(resolution,status(thm),[c8085,prove_c_inverse_equals_d]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.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 : Tue Jun 14 09:46:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.60/2.84  # Version:  1.3
% 2.60/2.84  # SZS status Unsatisfiable
% 2.60/2.84  # SZS output start CNFRefutation
% See solution above
% 2.60/2.84  
% 2.60/2.84  # Initial clauses    : 17
% 2.60/2.84  # Processed clauses  : 353
% 2.60/2.84  # Factors computed   : 2
% 2.60/2.84  # Resolvents computed: 8244
% 2.60/2.84  # Tautologies deleted: 6
% 2.60/2.84  # Forward subsumed   : 560
% 2.60/2.84  # Backward subsumed  : 8
% 2.60/2.84  # -------- CPU Time ---------
% 2.60/2.84  # User time          : 2.467 s
% 2.60/2.84  # System time        : 0.027 s
% 2.60/2.84  # Total time         : 2.494 s
%------------------------------------------------------------------------------