TSTP Solution File: PUZ030-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Mon Jul 18 18:26:46 EDT 2022

% Result   : Unsatisfiable 0.81s 0.98s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   37
% Syntax   : Number of clauses     :  151 (  18 unt; 102 nHn; 149 RR)
%            Number of literals    :  439 (   0 equ;  64 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   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(both1,axiom,
    ( ~ both(X)
    | salt(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',both1) ).

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

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

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

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

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

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

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

cnf(neither3,axiom,
    ( ~ neither(X)
    | ~ mustard(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither3) ).

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

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

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

cnf(rule2_1,hypothesis,
    ( ~ mustard(barry)
    | neither(dix)
    | both(mill) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_1) ).

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

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

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

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

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

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

cnf(rule4_2,hypothesis,
    ( ~ both(dix)
    | mustard(cole) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_2) ).

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

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

cnf(rule5_3,hypothesis,
    ( ~ both(cole)
    | salt(dix) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5_3) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(44,plain,
    ( both(dix)
    | neither(dix)
    | mustard(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule10_3,one_condition_holds1]) ).

cnf(46,plain,
    ( both(lang)
    | neither(lang)
    | salt(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule1_3,one_condition_holds1]) ).

cnf(47,plain,
    ( both(cole)
    | neither(cole)
    | mustard(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule10_2,one_condition_holds1]) ).

cnf(48,plain,
    ( both(cole)
    | neither(cole)
    | salt(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule1_2,one_condition_holds1]) ).

cnf(49,plain,
    ( both(barry)
    | neither(barry)
    | salt(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule7_2,one_condition_holds1]) ).

cnf(50,plain,
    ( both(barry)
    | neither(barry)
    | salt(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[rule3_2,one_condition_holds1]) ).

cnf(52,plain,
    ( mustard(cole)
    | neither(cole)
    | oneof(barry)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule3_1,neither4]) ).

cnf(53,plain,
    ( mustard(dix)
    | neither(dix)
    | neither(barry)
    | both(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[rule5_1,neither4]) ).

cnf(55,plain,
    ( mustard(mill)
    | neither(mill)
    | both(barry)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule9_1,neither4]) ).

cnf(56,plain,
    ( both(dix)
    | mustard(mill)
    | mustard(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule2_2,44]) ).

cnf(57,plain,
    ( both(cole)
    | mustard(mill)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_2,47]) ).

cnf(62,plain,
    ( mustard(cole)
    | neither(cole)
    | neither(mill)
    | salt(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule7_2,52]) ).

cnf(64,plain,
    ( mustard(dix)
    | neither(barry)
    | both(cole)
    | mustard(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule2_2,53]) ).

cnf(68,plain,
    ( mustard(mill)
    | both(barry)
    | both(lang)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_3,55]) ).

cnf(70,plain,
    ( mustard(mill)
    | both(barry)
    | both(lang)
    | salt(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[rule3_3,55]) ).

cnf(75,plain,
    ( mustard(dix)
    | both(cole)
    | mustard(barry)
    | both(lang)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,64,46]) ).

cnf(78,plain,
    ( both(barry)
    | both(lang)
    | mustard(lang)
    | oneof(cole)
    | oneof(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[rule10_1,68]) ).

cnf(80,plain,
    ( mustard(mill)
    | both(barry)
    | both(lang)
    | both(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,70,47]) ).

cnf(88,plain,
    ( both(barry)
    | both(lang)
    | both(cole)
    | oneof(cole)
    | oneof(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[rule10_1,80]) ).

cnf(94,plain,
    ( mustard(dix)
    | both(cole)
    | mustard(barry)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule6_2,75]) ).

cnf(95,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | neither(lang)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule6_1,94]) ).

cnf(104,plain,
    ( both(barry)
    | both(lang)
    | both(cole)
    | oneof(cole)
    | salt(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule7_3,88]) ).

cnf(111,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | neither(lang)
    | both(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,95,80]) ).

cnf(120,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | both(barry)
    | oneof(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,111,104]) ).

cnf(121,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | both(barry)
    | neither(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,111,49]) ).

cnf(134,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | both(barry)
    | salt(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule1_2,120]) ).

cnf(150,plain,
    ( both(cole)
    | mustard(barry)
    | both(lang)
    | both(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,134,121]) ).

cnf(151,plain,
    ( both(cole)
    | both(lang)
    | both(barry)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,150,48]) ).

cnf(152,plain,
    ( both(cole)
    | both(lang)
    | both(barry)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,150,46]) ).

cnf(155,plain,
    ( both(cole)
    | both(lang)
    | both(barry)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_2,151]) ).

cnf(160,plain,
    ( both(cole)
    | both(lang)
    | both(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,155,152]) ).

cnf(162,plain,
    ( both(cole)
    | both(barry)
    | mustard(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[rule4_3,160]) ).

cnf(167,plain,
    ( both(cole)
    | both(barry)
    | neither(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,162,50]) ).

cnf(172,plain,
    ( both(cole)
    | both(barry)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,167,48]) ).

cnf(175,plain,
    ( both(cole)
    | both(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,172,162]) ).

cnf(176,plain,
    ( both(barry)
    | salt(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[rule5_3,175]) ).

cnf(177,plain,
    ( both(barry)
    | mustard(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[both2,175]) ).

cnf(178,plain,
    ( both(barry)
    | salt(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[both1,175]) ).

cnf(179,plain,
    ( both(barry)
    | both(dix)
    | mustard(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,176,44]) ).

cnf(180,plain,
    ( both(barry)
    | both(dix)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule4_1,177]) ).

cnf(181,plain,
    ( both(barry)
    | oneof(barry)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule3_1,178]) ).

cnf(190,plain,
    ( both(barry)
    | both(dix)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[both2,180]) ).

cnf(193,plain,
    ( both(barry)
    | neither(mill)
    | salt(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule7_2,181]) ).

cnf(210,plain,
    ( both(barry)
    | both(dix)
    | neither(cole)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_1,190]) ).

cnf(222,plain,
    ( both(barry)
    | both(dix)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,210,179]) ).

cnf(223,plain,
    ( both(barry)
    | both(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,222,177]) ).

cnf(224,plain,
    ( both(barry)
    | mustard(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[both2,223]) ).

cnf(225,plain,
    ( both(barry)
    | both(lang)
    | mustard(lang)
    | oneof(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[oneof2,223,78]) ).

cnf(227,plain,
    ( both(barry)
    | neither(lang)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule6_1,224]) ).

cnf(228,plain,
    ( both(barry)
    | neither(lang)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_3,227]) ).

cnf(229,plain,
    ( both(barry)
    | mustard(lang)
    | neither(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,228,193]) ).

cnf(231,plain,
    ( both(barry)
    | both(lang)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[oneof4,225,178,177]) ).

cnf(233,plain,
    ( both(barry)
    | both(lang)
    | neither(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,231,49]) ).

cnf(234,plain,
    ( both(barry)
    | both(lang)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,233,46]) ).

cnf(235,plain,
    ( both(barry)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_3,229]) ).

cnf(239,plain,
    ( both(barry)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,234,235]) ).

cnf(240,plain,
    ( both(barry)
    | mustard(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[rule9_3,239]) ).

cnf(242,plain,
    ( both(barry)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,240,227]) ).

cnf(245,plain,
    both(barry),
    inference('HYPERRESOLVE',[status(thm)],[neither3,242,235]) ).

cnf(246,plain,
    salt(mill),
    inference('REWRITE',[status(thm)],[rule9_2,245]) ).

cnf(247,plain,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ oneof(lang)
    | ~ mustard(lang)
    | ~ oneof(mill) ),
    inference('REWRITE',[status(thm)],[prove_who_takes_what,246,245]) ).

cnf(248,plain,
    ~ neither(mill),
    inference('UR-RESOLVE',[status(thm)],[neither2,246]) ).

cnf(249,plain,
    ( ~ salt(cole)
    | oneof(barry) ),
    inference('REWRITE',[status(thm)],[rule3_1,248]) ).

cnf(250,plain,
    ( ~ mustard(dix)
    | neither(lang) ),
    inference('REWRITE',[status(thm)],[rule6_1,248]) ).

cnf(251,plain,
    ( ~ mustard(lang)
    | neither(cole) ),
    inference('REWRITE',[status(thm)],[rule8_1,248]) ).

cnf(252,plain,
    ( mustard(cole)
    | neither(cole)
    | oneof(barry) ),
    inference('REWRITE',[status(thm)],[52,248]) ).

cnf(253,plain,
    ( mustard(cole)
    | neither(cole)
    | salt(lang) ),
    inference('REWRITE',[status(thm)],[62,248]) ).

cnf(259,plain,
    ( both(cole)
    | mustard(lang)
    | both(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,246,57]) ).

cnf(260,plain,
    ( both(dix)
    | mustard(barry)
    | both(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,246,56]) ).

cnf(264,plain,
    ( both(cole)
    | both(mill)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[251,259]) ).

cnf(267,plain,
    ( both(dix)
    | both(mill)
    | neither(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[rule2_1,260]) ).

cnf(268,plain,
    ( both(dix)
    | both(mill)
    | mustard(cole)
    | neither(cole)
    | both(lang)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[oneof4,260,252,46]) ).

cnf(270,plain,
    ( both(cole)
    | both(mill)
    | mustard(dix)
    | neither(barry)
    | both(lang)
    | neither(lang) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[247,264,53,one_condition_holds1,259,one_condition_holds1]),248]) ).

cnf(281,plain,
    ( both(dix)
    | both(mill)
    | mustard(cole)
    | neither(cole)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,268,253]) ).

cnf(282,plain,
    ( both(dix)
    | both(mill)
    | mustard(cole)
    | both(lang)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_2,281]) ).

cnf(283,plain,
    ( both(dix)
    | both(mill)
    | mustard(cole)
    | both(lang)
    | neither(lang) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[247,282,281,267,one_condition_holds1,one_condition_holds1]),248]) ).

cnf(285,plain,
    ( both(dix)
    | both(mill)
    | mustard(cole)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,283,282]) ).

cnf(286,plain,
    ( both(dix)
    | both(mill)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule4_1,285]) ).

cnf(287,plain,
    ( both(dix)
    | both(lang)
    | mustard(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule2_3,286]) ).

cnf(288,plain,
    ( both(dix)
    | both(lang)
    | mustard(mill) ),
    inference('HYPERRESOLVE',[status(thm)],[both2,286]) ).

cnf(289,plain,
    ( both(dix)
    | both(lang)
    | mustard(cole)
    | neither(cole)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[oneof4,287,252,46]) ).

cnf(290,plain,
    ( both(dix)
    | both(lang)
    | oneof(cole)
    | oneof(dix) ),
    inference('HYPERRESOLVE',[status(thm)],[rule10_1,288]) ).

cnf(291,plain,
    ( both(cole)
    | both(mill)
    | mustard(dix)
    | neither(barry)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule6_2,270]) ).

cnf(293,plain,
    ( both(cole)
    | both(mill)
    | mustard(dix)
    | both(lang)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,291,46]) ).

cnf(294,plain,
    ( both(cole)
    | both(mill)
    | mustard(dix)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule6_2,293]) ).

cnf(295,plain,
    ( both(cole)
    | both(mill)
    | both(lang)
    | neither(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[250,294]) ).

cnf(296,plain,
    ( both(cole)
    | both(mill)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[neither3,295,259]) ).

cnf(297,plain,
    ( both(cole)
    | both(lang)
    | mustard(barry) ),
    inference('HYPERRESOLVE',[status(thm)],[rule2_3,296]) ).

cnf(302,plain,
    ( both(dix)
    | both(lang)
    | oneof(cole)
    | salt(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule7_3,290]) ).

cnf(312,plain,
    ( both(dix)
    | both(lang)
    | mustard(cole)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[neither2,289,253]) ).

cnf(313,plain,
    ( both(dix)
    | both(lang)
    | mustard(cole)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule8_2,312]) ).

cnf(314,plain,
    ( both(dix)
    | both(lang)
    | mustard(cole)
    | oneof(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[both3,313,302]) ).

cnf(323,plain,
    ( both(dix)
    | both(lang)
    | mustard(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[oneof3,314,312]) ).

cnf(324,plain,
    ( both(dix)
    | both(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[rule4_1,323]) ).

cnf(326,plain,
    ( both(dix)
    | mustard(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[rule4_3,324]) ).

cnf(327,plain,
    ( both(dix)
    | mustard(lang) ),
    inference('HYPERRESOLVE',[status(thm)],[both2,324]) ).

cnf(333,plain,
    ( both(dix)
    | neither(cole) ),
    inference('HYPERRESOLVE',[status(thm)],[251,327]) ).

cnf(336,plain,
    both(dix),
    inference('HYPERRESOLVE',[status(thm)],[neither3,333,326]) ).

cnf(337,plain,
    mustard(cole),
    inference('REWRITE',[status(thm)],[rule4_2,336]) ).

cnf(338,plain,
    ~ neither(cole),
    inference('UR-RESOLVE',[status(thm)],[neither3,337]) ).

cnf(342,plain,
    ~ mustard(lang),
    inference('REWRITE',[status(thm)],[251,338]) ).

cnf(363,plain,
    ~ both(lang),
    inference('UR-RESOLVE',[status(thm)],[both2,342]) ).

cnf(365,plain,
    ( both(cole)
    | mustard(barry) ),
    inference('REWRITE',[status(thm)],[297,363]) ).

cnf(372,plain,
    mustard(dix),
    inference('HYPERRESOLVE',[status(thm)],[both2,336]) ).

cnf(373,plain,
    neither(lang),
    inference('REWRITE',[status(thm)],[250,372]) ).

cnf(374,plain,
    salt(dix),
    inference('HYPERRESOLVE',[status(thm)],[both1,336]) ).

cnf(375,plain,
    ( neither(barry)
    | both(cole) ),
    inference('REWRITE',[status(thm)],[rule5_1,374]) ).

cnf(383,plain,
    ~ salt(lang),
    inference('UR-RESOLVE',[status(thm)],[neither2,373]) ).

cnf(384,plain,
    ~ oneof(barry),
    inference('REWRITE',[status(thm)],[rule7_2,383]) ).

cnf(385,plain,
    ~ salt(cole),
    inference('REWRITE',[status(thm)],[249,384]) ).

cnf(390,plain,
    ~ both(cole),
    inference('UR-RESOLVE',[status(thm)],[both1,385]) ).

cnf(395,plain,
    mustard(barry),
    inference('REWRITE',[status(thm)],[365,390]) ).

cnf(396,plain,
    neither(barry),
    inference('REWRITE',[status(thm)],[375,390]) ).

cnf(397,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[neither3,396]),395]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat May 28 19:45:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T19:45:09
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-28T19:45:09
% 0.81/0.98  
% 0.81/0.98  
% 0.81/0.98  #||
% 0.81/0.98  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.98  % SZS output start Refutation
% See solution above
% 0.81/0.99  ||#
% 0.81/0.99  
% 0.81/0.99  ; Summary of computation:
% 0.81/0.99  ;      4393 formulas have been input or derived (from 293 formulas).
% 0.81/0.99  ;       397 ( 9%) were retained.  Of these,
% 0.81/0.99  ;          360 (91%) were simplified or subsumed later,
% 0.81/0.99  ;           37 ( 9%) are still being kept.
% 0.81/0.99  ; 
% 0.81/0.99  ; Run time in seconds excluding printing time:
% 0.81/0.99  ;     0.003   1%   Read assertion file          (1 call)
% 0.81/0.99  ;     0.001   0%   Assert                       (43 calls)
% 0.81/0.99  ;     0.027   5%   Process new row              (3,855 calls)
% 0.81/0.99  ;     0.072  14%   Resolution                   (584 calls)
% 0.81/0.99  ;     0.001   0%   Paramodulation               (292 calls)
% 0.81/0.99  ;     0.000   0%   Factoring                    (235 calls)
% 0.81/0.99  ;     0.004   1%   Condensing                   (3,207 calls)
% 0.81/0.99  ;     0.280  55%   Forward subsumption          (3,207 calls)
% 0.81/0.99  ;     0.009   2%   Backward subsumption         (372 calls)
% 0.81/0.99  ;     0.023   5%   Clause clause subsumption    (7,831 calls)
% 0.81/0.99  ;     0.050  10%   Forward simplification       (3,302 calls)
% 0.81/0.99  ;     0.003   1%   Backward simplification      (397 calls)
% 0.81/0.99  ;     0.002   0%   Ordering                     (1,715 calls)
% 0.81/0.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.81/0.99  ;     0.000   0%   Purity testing               (1 call)
% 0.81/0.99  ;     0.030   6%   Other
% 0.81/0.99  ;     0.505        Total
% 0.81/0.99  ;     0.512        Real time
% 0.81/0.99  ; 
% 0.81/0.99  ; Term-hash-array has 30 terms in all.
% 0.81/0.99  ; Feature-vector-row-index has 12 entries (132 at peak, 372 added, 360 deleted).
% 0.81/0.99  ; Feature-vector-row-index has 23 nodes (632 at peak, 1,727 added, 1,704 deleted).
% 0.81/0.99  ;  Retrieved 34,688 possibly forward subsuming rows in 3,207 calls.
% 0.81/0.99  ;  Retrieved 658 possibly backward subsumed rows in 372 calls.
% 0.81/0.99  ; Path-index has 34 entries (35 at peak, 40 added, 6 deleted).
% 0.81/0.99  ; Path-index has 40 nodes (41 at peak, 46 added, 6 deleted).
% 0.81/0.99  ; Trie-index has 34 entries (35 at peak, 40 added, 6 deleted).
% 0.81/0.99  ; Trie-index has 40 nodes (41 at peak, 46 added, 6 deleted).
% 0.81/0.99  ; Retrieved 784 generalization terms in 7,496 calls.
% 0.81/0.99  ; Retrieved 24 instance terms in 24 calls.
% 0.81/0.99  ; Retrieved 6,962 unifiable terms in 4,226 calls.
% 0.81/0.99  ; 
% 0.81/0.99  ; The agenda of rows to process has 5 entries:
% 0.81/0.99  ;     3 with value 4               2 with value 7
% 0.81/0.99  ; The agenda of rows to give has 12 entries:
% 0.81/0.99  ;     5 with value (4 4)           1 with value (4 14)           1 with value (4 34)
% 0.81/0.99  ;     1 with value (4 6)           4 with value (4 23)
% 0.81/0.99  Evaluation took:
% 0.81/0.99    0.512 seconds of real time
% 0.81/0.99    0.459803 seconds of user run time
% 0.81/0.99    0.052597 seconds of system run time
% 0.81/0.99    [Run times include 0.013 seconds GC run time.]
% 0.81/0.99    0 calls to %EVAL
% 0.81/0.99    0 page faults and
% 0.81/0.99    61,590,168 bytes consed.
% 0.81/0.99  :PROOF-FOUND
% 0.81/0.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T19:45:10
% 0.81/0.99  :PROOF-FOUND
% 0.81/0.99  * 
%------------------------------------------------------------------------------