TSTP Solution File: GRP460-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 11:23:13 EDT 2022

% Result   : Unsatisfiable 4.41s 4.67s
% Output   : Refutation 4.41s
% 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) != identity,
    input ).

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

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

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

cnf(transitivity,axiom,
    ( X18 != X19
    | X19 != X17
    | X18 = X17 ),
    eq_axiom ).

cnf(c11,plain,
    ( X25 != divide(X26,X26)
    | X25 = identity ),
    inference(resolution,status(thm),[transitivity,c3]) ).

cnf(multiply,axiom,
    multiply(X16,X15) = divide(X16,divide(identity,X15)),
    input ).

cnf(c9,plain,
    divide(X52,divide(identity,X51)) = multiply(X52,X51),
    inference(resolution,status(thm),[multiply,symmetry]) ).

cnf(c84,plain,
    ( X357 != divide(X356,divide(identity,X358))
    | X357 = multiply(X356,X358) ),
    inference(resolution,status(thm),[c9,transitivity]) ).

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

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

cnf(c0,plain,
    ( X28 != X29
    | X27 != X30
    | divide(X28,X27) = divide(X29,X30) ),
    eq_axiom ).

cnf(c29,plain,
    ( X108 != X107
    | divide(X108,inverse(X106)) = divide(X107,divide(identity,X106)) ),
    inference(resolution,status(thm),[c0,inverse]) ).

cnf(c268,plain,
    divide(X921,inverse(X922)) = divide(X921,divide(identity,X922)),
    inference(resolution,status(thm),[c29,reflexivity]) ).

cnf(c14821,plain,
    divide(X929,inverse(X928)) = multiply(X929,X928),
    inference(resolution,status(thm),[c268,c84]) ).

cnf(c15099,plain,
    multiply(X931,X930) = divide(X931,inverse(X930)),
    inference(resolution,status(thm),[c14821,symmetry]) ).

cnf(c15148,plain,
    multiply(inverse(X932),X932) = identity,
    inference(resolution,status(thm),[c15099,c11]) ).

cnf(c15244,plain,
    $false,
    inference(resolution,status(thm),[c15148,prove_these_axioms_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP460-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n025.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 06:49:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.41/4.67  # Version:  1.3
% 4.41/4.67  # SZS status Unsatisfiable
% 4.41/4.67  # SZS output start CNFRefutation
% See solution above
% 4.41/4.67  
% 4.41/4.67  # Initial clauses    : 11
% 4.41/4.67  # Processed clauses  : 307
% 4.41/4.67  # Factors computed   : 0
% 4.41/4.67  # Resolvents computed: 15331
% 4.41/4.67  # Tautologies deleted: 1
% 4.41/4.67  # Forward subsumed   : 490
% 4.41/4.67  # Backward subsumed  : 4
% 4.41/4.67  # -------- CPU Time ---------
% 4.41/4.67  # User time          : 4.284 s
% 4.41/4.67  # System time        : 0.040 s
% 4.41/4.67  # Total time         : 4.324 s
%------------------------------------------------------------------------------