%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP541-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 11:23:29 EDT 2022

% Result   : Unsatisfiable 4.90s 5.11s
% Output   : Refutation 4.90s
% 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(symmetry,axiom,
    ( X5 != X4
    | X4 = X5 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X17 != X15
    | X15 != X16
    | X17 = X16 ),
    eq_axiom ).

cnf(multiply,axiom,
    multiply(X18,X19) = divide(X18,divide(identity,X19)),
    input ).

cnf(c16,plain,
    divide(X77,divide(identity,X76)) = multiply(X77,X76),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c159,plain,
    ( X546 != divide(X545,divide(identity,X547))
    | X546 = multiply(X545,X547) ),
    inference(resolution,status(thm),[c16,transitivity]) ).

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

cnf(c3,plain,
    divide(X7,X7) = identity,
    inference(resolution,status(thm),[symmetry,identity]) ).

cnf(c10,plain,
    ( X25 != divide(X26,X26)
    | X25 = identity ),
    inference(resolution,status(thm),[transitivity,c3]) ).

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

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

cnf(c0,plain,
    ( X31 != X33
    | X32 != X30
    | divide(X31,X32) = divide(X33,X30) ),
    eq_axiom ).

cnf(c41,plain,
    ( X110 != X112
    | divide(X110,X111) = divide(X112,X111) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c261,plain,
    divide(inverse(X923),X924) = divide(divide(identity,X923),X924),
    inference(resolution,status(thm),[c41,inverse]) ).

cnf(c15572,plain,
    divide(inverse(X925),divide(identity,X925)) = identity,
    inference(resolution,status(thm),[c261,c10]) ).

cnf(c15650,plain,
    identity = divide(inverse(X926),divide(identity,X926)),
    inference(resolution,status(thm),[c15572,symmetry]) ).

cnf(c15767,plain,
    identity = multiply(inverse(X927),X927),
    inference(resolution,status(thm),[c15650,c159]) ).

cnf(c15810,plain,
    multiply(inverse(X928),X928) = identity,
    inference(resolution,status(thm),[c15767,symmetry]) ).

cnf(c15798,plain,
    ( X960 != identity
    | X960 = multiply(inverse(X961),X961) ),
    inference(resolution,status(thm),[c15767,transitivity]) ).

cnf(c16742,plain,
    multiply(inverse(X1020),X1020) = multiply(inverse(X1021),X1021),
    inference(resolution,status(thm),[c15798,c15810]) ).

cnf(c18133,plain,
    $false,
    inference(resolution,status(thm),[c16742,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP541-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n021.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 02:40:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.90/5.11  # Version:  1.3
% 4.90/5.11  # SZS status Unsatisfiable
% 4.90/5.11  # SZS output start CNFRefutation
% See solution above
% 4.90/5.11  
% 4.90/5.11  # Initial clauses    : 11
% 4.90/5.11  # Processed clauses  : 334
% 4.90/5.11  # Factors computed   : 0
% 4.90/5.11  # Resolvents computed: 18271
% 4.90/5.11  # Tautologies deleted: 1
% 4.90/5.11  # Forward subsumed   : 535
% 4.90/5.11  # Backward subsumed  : 8
% 4.90/5.11  # -------- CPU Time ---------
% 4.90/5.11  # User time          : 4.716 s
% 4.90/5.11  # System time        : 0.038 s
% 4.90/5.11  # Total time         : 4.754 s
%------------------------------------------------------------------------------