TSTP Solution File: HEN008-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 13:01:13 EDT 2022

% Result   : Timeout 286.48s 286.79s
% Output   : None 
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_divide_c_LE_b_divide_c,negated_conjecture,
    ~ less_equal(divide(a,c),divide(b,c)),
    input ).

cnf(quotient_less_equal2,axiom,
    ( divide(X16,X15) != zero
    | less_equal(X16,X15) ),
    input ).

cnf(zero_is_smallest,axiom,
    less_equal(zero,X3),
    input ).

cnf(less_equal_and_equal,axiom,
    ( ~ less_equal(X28,X27)
    | ~ less_equal(X27,X28)
    | X28 = X27 ),
    input ).

cnf(c19,plain,
    ( ~ less_equal(X31,zero)
    | X31 = zero ),
    inference(resolution,status(thm),[less_equal_and_equal,zero_is_smallest]) ).

cnf(quotient_less_equal1,axiom,
    ( ~ less_equal(X8,X7)
    | divide(X8,X7) = zero ),
    input ).

cnf(symmetry,axiom,
    ( X10 != X9
    | X9 = X10 ),
    eq_axiom ).

cnf(a_LE_b,plain,
    less_equal(a,b),
    input ).

cnf(c3,plain,
    divide(a,b) = zero,
    inference(resolution,status(thm),[quotient_less_equal1,a_LE_b]) ).

cnf(c14,plain,
    zero = divide(a,b),
    inference(resolution,status(thm),[c3,symmetry]) ).

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

cnf(c1,plain,
    ( X56 != X54
    | X57 != X55
    | ~ less_equal(X56,X57)
    | less_equal(X54,X55) ),
    eq_axiom ).

cnf(c57,plain,
    ( zero != X111
    | X113 != X112
    | less_equal(X111,X112) ),
    inference(resolution,status(thm),[c1,zero_is_smallest]) ).

cnf(c124,plain,
    ( zero != X118
    | less_equal(X118,X117) ),
    inference(resolution,status(thm),[c57,reflexivity]) ).

cnf(c153,plain,
    less_equal(divide(a,b),X124),
    inference(resolution,status(thm),[c124,c14]) ).

cnf(c170,plain,
    divide(divide(a,b),X264) = zero,
    inference(resolution,status(thm),[c153,quotient_less_equal1]) ).

cnf(quotient_property,axiom,
    less_equal(divide(divide(X24,X22),divide(X23,X22)),divide(divide(X24,X23),X22)),
    input ).

cnf(c59,plain,
    ( divide(divide(X275,X274),divide(X272,X274)) != X273
    | divide(divide(X275,X272),X274) != X271
    | less_equal(X273,X271) ),
    inference(resolution,status(thm),[c1,quotient_property]) ).

cnf(c523,plain,
    ( divide(divide(X3881,X3882),X3884) != X3883
    | less_equal(divide(divide(X3881,X3884),divide(X3882,X3884)),X3883) ),
    inference(resolution,status(thm),[c59,reflexivity]) ).

cnf(c11784,plain,
    less_equal(divide(divide(a,X13072),divide(b,X13072)),zero),
    inference(resolution,status(thm),[c523,c170]) ).

cnf(c76233,plain,
    divide(divide(a,X22091),divide(b,X22091)) = zero,
    inference(resolution,status(thm),[c11784,c19]) ).

cnf(c168221,plain,
    less_equal(divide(a,X22096),divide(b,X22096)),
    inference(resolution,status(thm),[c76233,quotient_less_equal2]) ).

cnf(c168277,plain,
    $false,
    inference(resolution,status(thm),[c168221,prove_a_divide_c_LE_b_divide_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  1 13:06:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 286.48/286.79  # Version:  1.3
% 286.48/286.79  # SZS status Unsatisfiable
% 286.48/286.79  # SZS output start CNFRefutation
% See solution above
% 286.48/286.79  
% 286.48/286.79  # Initial clauses    : 14
% 286.48/286.79  # Processed clauses  : 1737
% 286.48/286.79  # Factors computed   : 9
% 286.48/286.79  # Resolvents computed: 168269
% 286.48/286.79  # Tautologies deleted: 1
% 286.48/286.79  # Forward subsumed   : 9393
% 286.48/286.79  # Backward subsumed  : 290
% 286.48/286.79  # -------- CPU Time ---------
% 286.48/286.79  # User time          : 286.037 s
% 286.48/286.79  # System time        : 0.330 s
% 286.48/286.79  # Total time         : 286.367 s
%------------------------------------------------------------------------------