TSTP Solution File: PUZ030-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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  : 300s
% DateTime : Thu May  9 17:37:38 EDT 2024

% Result   : Unsatisfiable 13.16s 13.35s
% Output   : Refutation 13.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  183 (  11 unt; 111 nHn; 179 RR)
%            Number of literals    :  455 (   0 equ; 116 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(neither3,axiom,
    ( ~ neither(X9)
    | ~ mustard(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).

cnf(oneof2,axiom,
    ( ~ oneof(X4)
    | ~ both(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).

cnf(rule9_3,plain,
    ( ~ both(lang)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).

cnf(neither4,axiom,
    ( salt(X13)
    | mustard(X13)
    | neither(X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither4) ).

cnf(rule9_1,plain,
    ( ~ salt(mill)
    | both(barry)
    | both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).

cnf(c93,plain,
    ( both(barry)
    | both(lang)
    | mustard(mill)
    | neither(mill) ),
    inference(resolution,[status(thm)],[rule9_1,neither4]) ).

cnf(c1268,plain,
    ( both(barry)
    | mustard(mill)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c93,rule9_3]) ).

cnf(neither2,axiom,
    ( ~ neither(X8)
    | ~ salt(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).

cnf(rule1_1,plain,
    ( ~ salt(barry)
    | oneof(cole)
    | oneof(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_1) ).

cnf(rule1_3,plain,
    ( ~ oneof(lang)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).

cnf(one_condition_holds1,axiom,
    ( both(X11)
    | neither(X11)
    | oneof(X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).

cnf(c23,plain,
    ( mustard(mill)
    | neither(lang)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[rule9_3,one_condition_holds1]) ).

cnf(c264,plain,
    ( neither(lang)
    | oneof(lang)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c23,neither3]) ).

cnf(rule4_3,plain,
    ( ~ both(lang)
    | mustard(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).

cnf(c4,plain,
    ( neither(lang)
    | oneof(lang)
    | mustard(cole) ),
    inference(resolution,[status(thm)],[one_condition_holds1,rule4_3]) ).

cnf(c118,plain,
    ( neither(lang)
    | oneof(lang)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c4,neither3]) ).

cnf(both2,axiom,
    ( ~ both(X3)
    | mustard(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).

cnf(c1,plain,
    ( neither(X15)
    | oneof(X15)
    | mustard(X15) ),
    inference(resolution,[status(thm)],[one_condition_holds1,both2]) ).

cnf(rule8_1,plain,
    ( ~ mustard(lang)
    | neither(cole)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).

cnf(c92,plain,
    ( neither(cole)
    | neither(mill)
    | neither(lang)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[rule8_1,c1]) ).

cnf(c1231,plain,
    ( neither(mill)
    | neither(lang)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[c92,c118]) ).

cnf(c3391,plain,
    ( neither(lang)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[c1231,c264]) ).

cnf(c3444,plain,
    ( neither(lang)
    | salt(barry) ),
    inference(resolution,[status(thm)],[c3391,rule1_3]) ).

cnf(rule8_3,plain,
    ( ~ neither(mill)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).

cnf(oneof3,axiom,
    ( ~ oneof(X5)
    | ~ neither(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof3) ).

cnf(rule7_2,plain,
    ( ~ oneof(barry)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).

cnf(both1,axiom,
    ( ~ both(X2)
    | salt(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).

cnf(c0,plain,
    ( neither(X14)
    | oneof(X14)
    | salt(X14) ),
    inference(resolution,[status(thm)],[one_condition_holds1,both1]) ).

cnf(c53,plain,
    ( neither(barry)
    | salt(barry)
    | salt(lang) ),
    inference(resolution,[status(thm)],[c0,rule7_2]) ).

cnf(c450,plain,
    ( neither(barry)
    | salt(barry)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c53,neither2]) ).

cnf(c3459,plain,
    ( salt(barry)
    | neither(barry) ),
    inference(resolution,[status(thm)],[c3444,c450]) ).

cnf(c3555,plain,
    ( salt(barry)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c3459,oneof3]) ).

cnf(rule3_1,plain,
    ( ~ salt(cole)
    | oneof(barry)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).

cnf(rule8_2,plain,
    ( ~ neither(cole)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).

cnf(rule1_2,plain,
    ( ~ oneof(cole)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).

cnf(c12,plain,
    ( both(cole)
    | neither(cole)
    | salt(barry) ),
    inference(resolution,[status(thm)],[one_condition_holds1,rule1_2]) ).

cnf(c165,plain,
    ( both(cole)
    | salt(barry)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c12,rule8_2]) ).

cnf(c937,plain,
    ( both(cole)
    | salt(barry)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c165,neither3]) ).

cnf(c3479,plain,
    ( salt(barry)
    | both(cole) ),
    inference(resolution,[status(thm)],[c3444,c937]) ).

cnf(c3612,plain,
    ( salt(barry)
    | salt(cole) ),
    inference(resolution,[status(thm)],[c3479,both1]) ).

cnf(c3717,plain,
    ( salt(barry)
    | oneof(barry)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c3612,rule3_1]) ).

cnf(c6094,plain,
    ( salt(barry)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c3717,c3555]) ).

cnf(c6131,plain,
    ( salt(barry)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c6094,rule8_3]) ).

cnf(c6169,plain,
    ( salt(barry)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c6131,neither3]) ).

cnf(c6226,plain,
    salt(barry),
    inference(resolution,[status(thm)],[c6169,c3444]) ).

cnf(c6246,plain,
    ( oneof(cole)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[c6226,rule1_1]) ).

cnf(rule6_2,plain,
    ( ~ neither(lang)
    | mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).

cnf(c3436,plain,
    ( oneof(lang)
    | mustard(dix) ),
    inference(resolution,[status(thm)],[c3391,rule6_2]) ).

cnf(c3449,plain,
    ( oneof(lang)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c3436,neither3]) ).

cnf(c6248,plain,
    ~ neither(barry),
    inference(resolution,[status(thm)],[c6226,neither2]) ).

cnf(rule5_1,plain,
    ( ~ salt(dix)
    | neither(barry)
    | both(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).

cnf(rule7_3,plain,
    ( ~ oneof(dix)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).

cnf(c51,plain,
    ( neither(dix)
    | salt(dix)
    | salt(lang) ),
    inference(resolution,[status(thm)],[c0,rule7_3]) ).

cnf(c436,plain,
    ( neither(dix)
    | salt(dix)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c51,neither2]) ).

cnf(rule6_1,plain,
    ( ~ mustard(dix)
    | neither(lang)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).

cnf(c87,plain,
    ( neither(lang)
    | neither(mill)
    | salt(dix)
    | neither(dix) ),
    inference(resolution,[status(thm)],[rule6_1,neither4]) ).

cnf(rule10_3,plain,
    ( ~ oneof(dix)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_3) ).

cnf(c49,plain,
    ( neither(dix)
    | salt(dix)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c0,rule10_3]) ).

cnf(c421,plain,
    ( neither(dix)
    | salt(dix)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c49,neither3]) ).

cnf(c1870,plain,
    ( neither(dix)
    | salt(dix)
    | neither(lang) ),
    inference(resolution,[status(thm)],[c421,c87]) ).

cnf(c4261,plain,
    ( neither(dix)
    | salt(dix) ),
    inference(resolution,[status(thm)],[c1870,c436]) ).

cnf(c4298,plain,
    ( neither(dix)
    | neither(barry)
    | both(cole) ),
    inference(resolution,[status(thm)],[c4261,rule5_1]) ).

cnf(c7154,plain,
    ( neither(dix)
    | both(cole) ),
    inference(resolution,[status(thm)],[c4298,c6248]) ).

cnf(c7160,plain,
    ( both(cole)
    | oneof(lang) ),
    inference(resolution,[status(thm)],[c7154,c3449]) ).

cnf(c7179,plain,
    ( oneof(lang)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c7160,oneof2]) ).

cnf(c7294,plain,
    oneof(lang),
    inference(resolution,[status(thm)],[c7179,c6246]) ).

cnf(oneof4,axiom,
    ( ~ oneof(X12)
    | ~ salt(X12)
    | ~ mustard(X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof4) ).

cnf(c29,plain,
    ( salt(mill)
    | mustard(mill)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[neither4,rule8_3]) ).

cnf(c288,plain,
    ( salt(mill)
    | mustard(mill)
    | ~ oneof(lang)
    | ~ salt(lang) ),
    inference(resolution,[status(thm)],[c29,oneof4]) ).

cnf(rule9_2,plain,
    ( ~ both(barry)
    | salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).

cnf(c18,plain,
    ( salt(lang)
    | both(barry)
    | neither(barry) ),
    inference(resolution,[status(thm)],[rule7_2,one_condition_holds1]) ).

cnf(c219,plain,
    ( salt(lang)
    | neither(barry)
    | salt(mill) ),
    inference(resolution,[status(thm)],[c18,rule9_2]) ).

cnf(c6260,plain,
    ( salt(lang)
    | salt(mill) ),
    inference(resolution,[status(thm)],[c6248,c219]) ).

cnf(c6364,plain,
    ( salt(mill)
    | mustard(mill)
    | ~ oneof(lang) ),
    inference(resolution,[status(thm)],[c6260,c288]) ).

cnf(c8419,plain,
    ( salt(mill)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c6364,c7294]) ).

cnf(c8432,plain,
    ( mustard(mill)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c8419,neither2]) ).

cnf(c8443,plain,
    ( mustard(mill)
    | both(barry) ),
    inference(resolution,[status(thm)],[c8432,c1268]) ).

cnf(c8478,plain,
    ( mustard(mill)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c8443,oneof2]) ).

cnf(c22,plain,
    ( salt(mill)
    | neither(barry)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[rule9_2,one_condition_holds1]) ).

cnf(c6255,plain,
    ( salt(mill)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c6248,c22]) ).

cnf(c6312,plain,
    ( oneof(barry)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c6255,neither2]) ).

cnf(rule10_2,plain,
    ( ~ oneof(cole)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).

cnf(c55,plain,
    ( neither(cole)
    | salt(cole)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c0,rule10_2]) ).

cnf(c461,plain,
    ( neither(cole)
    | mustard(mill)
    | oneof(barry)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c55,rule3_1]) ).

cnf(c6513,plain,
    ( neither(cole)
    | mustard(mill)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c461,c6312]) ).

cnf(c8797,plain,
    ( neither(cole)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c6513,c8478]) ).

cnf(c8815,plain,
    ( neither(cole)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c8797,neither3]) ).

cnf(rule4_1,plain,
    ( ~ mustard(cole)
    | both(dix)
    | both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).

cnf(c64,plain,
    ( oneof(cole)
    | mustard(cole)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c1,rule8_2]) ).

cnf(c517,plain,
    ( oneof(cole)
    | mustard(lang)
    | both(dix)
    | both(lang) ),
    inference(resolution,[status(thm)],[c64,rule4_1]) ).

cnf(c7135,plain,
    ( oneof(cole)
    | mustard(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[c517,both2]) ).

cnf(c6258,plain,
    ( both(barry)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c6248,one_condition_holds1]) ).

cnf(rule2_2,plain,
    ( ~ neither(dix)
    | mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).

cnf(c4281,plain,
    ( salt(dix)
    | mustard(barry) ),
    inference(resolution,[status(thm)],[c4261,rule2_2]) ).

cnf(c4315,plain,
    ( salt(dix)
    | ~ oneof(barry)
    | ~ salt(barry) ),
    inference(resolution,[status(thm)],[c4281,oneof4]) ).

cnf(c7536,plain,
    ( salt(dix)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c4315,c6226]) ).

cnf(c7540,plain,
    ( salt(dix)
    | both(barry) ),
    inference(resolution,[status(thm)],[c7536,c6258]) ).

cnf(c7558,plain,
    ( both(barry)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c7540,neither2]) ).

cnf(c7580,plain,
    ( both(barry)
    | both(cole) ),
    inference(resolution,[status(thm)],[c7558,c7154]) ).

cnf(c7685,plain,
    ( both(cole)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c7580,oneof2]) ).

cnf(c7173,plain,
    ( neither(dix)
    | salt(cole) ),
    inference(resolution,[status(thm)],[c7154,both1]) ).

cnf(c7236,plain,
    ( neither(dix)
    | oneof(barry)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c7173,rule3_1]) ).

cnf(c9044,plain,
    ( neither(dix)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c7236,c6312]) ).

cnf(c9051,plain,
    ( oneof(barry)
    | ~ oneof(dix) ),
    inference(resolution,[status(thm)],[c9044,oneof3]) ).

cnf(rule7_1,plain,
    ( ~ salt(lang)
    | oneof(barry)
    | oneof(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_1) ).

cnf(oneof1,axiom,
    ( ~ oneof(X10)
    | salt(X10)
    | mustard(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).

cnf(c7312,plain,
    ( salt(lang)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c7294,oneof1]) ).

cnf(c7491,plain,
    ( mustard(lang)
    | oneof(barry)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c7312,rule7_1]) ).

cnf(c9257,plain,
    ( mustard(lang)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c7491,c9051]) ).

cnf(c9280,plain,
    ( mustard(lang)
    | both(cole) ),
    inference(resolution,[status(thm)],[c9257,c7685]) ).

cnf(c9326,plain,
    ( mustard(lang)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c9280,oneof2]) ).

cnf(c9362,plain,
    ( mustard(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[c9326,c7135]) ).

cnf(c9391,plain,
    ( mustard(lang)
    | ~ oneof(dix) ),
    inference(resolution,[status(thm)],[c9362,oneof2]) ).

cnf(c7688,plain,
    ( both(barry)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c7580,oneof2]) ).

cnf(rule10_1,plain,
    ( ~ mustard(mill)
    | oneof(cole)
    | oneof(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).

cnf(c8472,plain,
    ( both(barry)
    | oneof(cole)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c8443,rule10_1]) ).

cnf(c10000,plain,
    ( both(barry)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c8472,c7688]) ).

cnf(c10015,plain,
    ( oneof(dix)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c10000,oneof2]) ).

cnf(c10032,plain,
    ( oneof(dix)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c10015,c9257]) ).

cnf(c10088,plain,
    mustard(lang),
    inference(resolution,[status(thm)],[c10032,c9391]) ).

cnf(c10108,plain,
    ( neither(cole)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c10088,rule8_1]) ).

cnf(c10152,plain,
    neither(cole),
    inference(resolution,[status(thm)],[c10108,c8815]) ).

cnf(c7237,plain,
    ( neither(dix)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c7173,neither2]) ).

cnf(c10159,plain,
    neither(dix),
    inference(resolution,[status(thm)],[c10152,c7237]) ).

cnf(rule3_2,plain,
    ( ~ oneof(barry)
    | salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_2) ).

cnf(c13,plain,
    ( both(barry)
    | neither(barry)
    | salt(cole) ),
    inference(resolution,[status(thm)],[one_condition_holds1,rule3_2]) ).

cnf(c3715,plain,
    ( salt(cole)
    | ~ neither(barry) ),
    inference(resolution,[status(thm)],[c3612,neither2]) ).

cnf(c3732,plain,
    ( salt(cole)
    | both(barry) ),
    inference(resolution,[status(thm)],[c3715,c13]) ).

cnf(c3790,plain,
    ( both(barry)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c3732,neither2]) ).

cnf(c10155,plain,
    both(barry),
    inference(resolution,[status(thm)],[c10152,c3790]) ).

cnf(c170,plain,
    ( neither(barry)
    | salt(cole)
    | salt(mill) ),
    inference(resolution,[status(thm)],[c13,rule9_2]) ).

cnf(c3735,plain,
    ( salt(cole)
    | salt(mill) ),
    inference(resolution,[status(thm)],[c3715,c170]) ).

cnf(c3818,plain,
    ( salt(mill)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c3735,neither2]) ).

cnf(c10156,plain,
    salt(mill),
    inference(resolution,[status(thm)],[c10152,c3818]) ).

cnf(prove_who_takes_what,negated_conjecture,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill)
    | ~ mustard(lang)
    | ~ oneof(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

cnf(both3,axiom,
    ( ~ salt(X7)
    | ~ mustard(X7)
    | both(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).

cnf(rule2_3,plain,
    ( ~ both(mill)
    | mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_3) ).

cnf(c2,plain,
    ( neither(mill)
    | oneof(mill)
    | mustard(barry) ),
    inference(resolution,[status(thm)],[one_condition_holds1,rule2_3]) ).

cnf(c110,plain,
    ( neither(mill)
    | oneof(mill)
    | ~ salt(barry)
    | both(barry) ),
    inference(resolution,[status(thm)],[c2,both3]) ).

cnf(c109,plain,
    ( neither(mill)
    | oneof(mill)
    | ~ neither(barry) ),
    inference(resolution,[status(thm)],[c2,neither3]) ).

cnf(c3553,plain,
    ( salt(barry)
    | neither(mill)
    | oneof(mill) ),
    inference(resolution,[status(thm)],[c3459,c109]) ).

cnf(c5523,plain,
    ( neither(mill)
    | oneof(mill)
    | both(barry) ),
    inference(resolution,[status(thm)],[c3553,c110]) ).

cnf(c8473,plain,
    ( both(barry)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c8443,neither3]) ).

cnf(c8509,plain,
    ( both(barry)
    | oneof(mill) ),
    inference(resolution,[status(thm)],[c8473,c5523]) ).

cnf(c8565,plain,
    ( oneof(mill)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c8509,oneof2]) ).

cnf(c82,plain,
    ( oneof(barry)
    | neither(mill)
    | neither(cole)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[rule3_1,c0]) ).

cnf(c6419,plain,
    ( oneof(barry)
    | neither(cole)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[c6312,c82]) ).

cnf(c81,plain,
    ( oneof(barry)
    | neither(mill)
    | mustard(cole)
    | neither(cole) ),
    inference(resolution,[status(thm)],[rule3_1,neither4]) ).

cnf(c73,plain,
    ( neither(cole)
    | mustard(cole)
    | mustard(mill) ),
    inference(resolution,[status(thm)],[c1,rule10_2]) ).

cnf(c601,plain,
    ( neither(cole)
    | mustard(cole)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c73,neither3]) ).

cnf(c2378,plain,
    ( neither(cole)
    | mustard(cole)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c601,c81]) ).

cnf(c7174,plain,
    ( neither(dix)
    | mustard(cole) ),
    inference(resolution,[status(thm)],[c7154,both2]) ).

cnf(c7584,plain,
    ( both(barry)
    | mustard(cole) ),
    inference(resolution,[status(thm)],[c7558,c7174]) ).

cnf(c7693,plain,
    ( mustard(cole)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c7584,oneof2]) ).

cnf(c7777,plain,
    ( mustard(cole)
    | neither(cole) ),
    inference(resolution,[status(thm)],[c7693,c2378]) ).

cnf(c7857,plain,
    ( neither(cole)
    | ~ oneof(cole)
    | ~ salt(cole) ),
    inference(resolution,[status(thm)],[c7777,oneof4]) ).

cnf(rule3_3,plain,
    ( ~ neither(mill)
    | salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_3) ).

cnf(neither1,axiom,
    ( ~ both(X6)
    | ~ neither(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither1) ).

cnf(c7234,plain,
    ( salt(cole)
    | ~ both(dix) ),
    inference(resolution,[status(thm)],[c7173,neither1]) ).

cnf(c35,plain,
    ( salt(cole)
    | mustard(cole)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[neither4,rule8_2]) ).

cnf(c319,plain,
    ( salt(cole)
    | mustard(lang)
    | both(dix)
    | both(lang) ),
    inference(resolution,[status(thm)],[c35,rule4_1]) ).

cnf(c4595,plain,
    ( salt(cole)
    | mustard(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[c319,both2]) ).

cnf(c8040,plain,
    ( salt(cole)
    | mustard(lang) ),
    inference(resolution,[status(thm)],[c4595,c7234]) ).

cnf(c8051,plain,
    ( salt(cole)
    | neither(cole)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c8040,rule8_1]) ).

cnf(c9761,plain,
    ( salt(cole)
    | neither(cole) ),
    inference(resolution,[status(thm)],[c8051,rule3_3]) ).

cnf(c9774,plain,
    ( neither(cole)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c9761,c7857]) ).

cnf(c9798,plain,
    ( neither(cole)
    | oneof(barry) ),
    inference(resolution,[status(thm)],[c9774,c6419]) ).

cnf(c9841,plain,
    ( neither(cole)
    | oneof(mill) ),
    inference(resolution,[status(thm)],[c9798,c8565]) ).

cnf(c59,plain,
    ( oneof(mill)
    | mustard(mill)
    | salt(cole) ),
    inference(resolution,[status(thm)],[c1,rule3_3]) ).

cnf(c490,plain,
    ( oneof(mill)
    | salt(cole)
    | oneof(cole)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c59,rule10_1]) ).

cnf(c7231,plain,
    ( salt(cole)
    | ~ oneof(dix) ),
    inference(resolution,[status(thm)],[c7173,oneof3]) ).

cnf(c7377,plain,
    ( salt(cole)
    | oneof(mill)
    | oneof(cole) ),
    inference(resolution,[status(thm)],[c7231,c490]) ).

cnf(c9779,plain,
    ( salt(cole)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c9761,oneof3]) ).

cnf(c9811,plain,
    ( salt(cole)
    | oneof(mill) ),
    inference(resolution,[status(thm)],[c9779,c7377]) ).

cnf(c9848,plain,
    ( oneof(mill)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c9811,neither2]) ).

cnf(c9923,plain,
    oneof(mill),
    inference(resolution,[status(thm)],[c9848,c9841]) ).

cnf(c9936,plain,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill)
    | ~ mustard(lang) ),
    inference(resolution,[status(thm)],[c9923,prove_who_takes_what]) ).

cnf(c10448,plain,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill) ),
    inference(resolution,[status(thm)],[c9936,c10088]) ).

cnf(c10450,plain,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang) ),
    inference(resolution,[status(thm)],[c10448,c10156]) ).

cnf(c10452,plain,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry) ),
    inference(resolution,[status(thm)],[c10450,c7294]) ).

cnf(c10456,plain,
    ( ~ neither(cole)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c10452,c10155]) ).

cnf(c10458,plain,
    ~ neither(cole),
    inference(resolution,[status(thm)],[c10456,c10159]) ).

cnf(c10465,plain,
    $false,
    inference(resolution,[status(thm)],[c10458,c10152]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n009.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  : 300
% 0.13/0.34  % DateTime : Wed May  8 20:36:53 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 13.16/13.35  % Version:  1.5
% 13.16/13.35  % SZS status Unsatisfiable
% 13.16/13.35  % SZS output start CNFRefutation
% See solution above
% 13.16/13.35  
% 13.16/13.35  % Initial clauses    : 43
% 13.16/13.35  % Processed clauses  : 813
% 13.16/13.35  % Factors computed   : 0
% 13.16/13.35  % Resolvents computed: 10468
% 13.16/13.35  % Tautologies deleted: 329
% 13.16/13.35  % Forward subsumed   : 8971
% 13.16/13.35  % Backward subsumed  : 771
% 13.16/13.35  % -------- CPU Time ---------
% 13.16/13.35  % User time          : 12.973 s
% 13.16/13.35  % System time        : 0.026 s
% 13.16/13.35  % Total time         : 12.999 s
%------------------------------------------------------------------------------