TSTP Solution File: PUZ030-2 by Leo-III---1.7.7

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 : Fri May 19 11:47:28 EDT 2023

% Result   : Unsatisfiable 3.53s 1.81s
% Output   : Refutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  137 (   1 unt;  10 typ;   0 def)
%            Number of atoms       :  429 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  532 ( 230   ~; 302   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;  11 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(salt_lang_type,type,
    salt_lang: $o ).

thf(mustard_barry_type,type,
    mustard_barry: $o ).

thf(salt_barry_type,type,
    salt_barry: $o ).

thf(salt_mill_type,type,
    salt_mill: $o ).

thf(mustard_lang_type,type,
    mustard_lang: $o ).

thf(salt_cole_type,type,
    salt_cole: $o ).

thf(mustard_cole_type,type,
    mustard_cole: $o ).

thf(salt_dix_type,type,
    salt_dix: $o ).

thf(mustard_dix_type,type,
    mustard_dix: $o ).

thf(mustard_mill_type,type,
    mustard_mill: $o ).

thf(40,axiom,
    ( ~ salt_cole
    | mustard_cole
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c28) ).

thf(142,plain,
    ( ~ salt_cole
    | mustard_cole
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(56,axiom,
    ( ~ salt_dix
    | mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c32) ).

thf(174,plain,
    ( ~ salt_dix
    | mustard_dix
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(20,axiom,
    ( ~ salt_barry
    | ~ mustard_barry
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30) ).

thf(102,plain,
    ( ~ salt_barry
    | ~ mustard_barry
    | salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(15,axiom,
    ( ~ salt_barry
    | mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c39) ).

thf(92,plain,
    ( ~ salt_barry
    | mustard_barry
    | salt_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(44,axiom,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c46) ).

thf(150,plain,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(60,axiom,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c59) ).

thf(182,plain,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(21,axiom,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).

thf(104,plain,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(10,axiom,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

thf(82,plain,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(38,axiom,
    ( ~ salt_mill
    | ~ mustard_mill
    | mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c40) ).

thf(138,plain,
    ( ~ salt_mill
    | ~ mustard_mill
    | mustard_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(13,axiom,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).

thf(88,plain,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(54,axiom,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c47) ).

thf(170,plain,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(29,axiom,
    ( ~ salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c26) ).

thf(120,plain,
    ( ~ salt_dix
    | mustard_dix
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(61,axiom,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c37) ).

thf(184,plain,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(24,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).

thf(110,plain,
    ( ~ salt_dix
    | ~ salt_barry
    | salt_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(45,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c29) ).

thf(152,plain,
    ( ~ salt_lang
    | ~ mustard_lang
    | salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(8,axiom,
    ( ~ mustard_cole
    | salt_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20) ).

thf(78,plain,
    ( ~ mustard_cole
    | salt_dix
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(51,axiom,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

thf(164,plain,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(22,axiom,
    ( ~ mustard_mill
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c50) ).

thf(106,plain,
    ( ~ mustard_mill
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(11,axiom,
    ( ~ salt_dix
    | ~ mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).

thf(84,plain,
    ( ~ salt_dix
    | ~ mustard_barry
    | salt_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(35,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

thf(132,plain,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(27,axiom,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

thf(116,plain,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(6,axiom,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | salt_dix
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c52) ).

thf(74,plain,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | salt_dix
    | mustard_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(49,axiom,
    ( salt_dix
    | ~ mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c31) ).

thf(160,plain,
    ( salt_dix
    | ~ mustard_dix
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(4,axiom,
    ( salt_barry
    | ~ mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c38) ).

thf(70,plain,
    ( salt_barry
    | ~ mustard_barry
    | salt_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(47,axiom,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | salt_lang
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c55) ).

thf(156,plain,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | salt_lang
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(63,axiom,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c48) ).

thf(188,plain,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(31,axiom,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c62) ).

thf(124,plain,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(17,axiom,
    ( salt_cole
    | ~ mustard_cole
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43) ).

thf(96,plain,
    ( salt_cole
    | ~ mustard_cole
    | salt_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(36,axiom,
    ( salt_mill
    | mustard_mill
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c61) ).

thf(134,plain,
    ( salt_mill
    | mustard_mill
    | salt_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(33,axiom,
    ( ~ salt_mill
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).

thf(128,plain,
    ( ~ salt_mill
    | mustard_barry
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(52,axiom,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c54) ).

thf(166,plain,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(43,axiom,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c45) ).

thf(148,plain,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(1,negated_conjecture,
    ( salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

thf(64,plain,
    ( salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(59,axiom,
    ( ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c49) ).

thf(180,plain,
    ( ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(57,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

thf(176,plain,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(28,axiom,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c57) ).

thf(118,plain,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(41,axiom,
    ( ~ salt_mill
    | mustard_barry
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

thf(144,plain,
    ( ~ salt_mill
    | mustard_barry
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(12,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56) ).

thf(86,plain,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(55,axiom,
    ( ~ salt_cole
    | ~ mustard_cole
    | salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35) ).

thf(172,plain,
    ( ~ salt_cole
    | ~ mustard_cole
    | salt_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(7,axiom,
    ( ~ salt_mill
    | salt_barry
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

thf(76,plain,
    ( ~ salt_mill
    | salt_barry
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(18,axiom,
    ( salt_lang
    | ~ mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c41) ).

thf(98,plain,
    ( salt_lang
    | ~ mustard_lang
    | salt_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(39,axiom,
    ( ~ salt_lang
    | mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c42) ).

thf(140,plain,
    ( ~ salt_lang
    | mustard_lang
    | salt_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(2,axiom,
    ( ~ mustard_cole
    | mustard_dix
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).

thf(66,plain,
    ( ~ mustard_cole
    | mustard_dix
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(23,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).

thf(108,plain,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(34,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21) ).

thf(130,plain,
    ( ~ mustard_barry
    | ~ mustard_dix
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(9,axiom,
    ( ~ salt_cole
    | mustard_cole
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c44) ).

thf(80,plain,
    ( ~ salt_cole
    | mustard_cole
    | salt_barry ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(50,axiom,
    ( ~ salt_lang
    | salt_barry
    | mustard_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c53) ).

thf(162,plain,
    ( ~ salt_lang
    | salt_barry
    | mustard_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(25,axiom,
    ( ~ mustard_barry
    | ~ salt_dix
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c24) ).

thf(112,plain,
    ( ~ mustard_barry
    | ~ salt_dix
    | salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(46,axiom,
    ( ~ salt_mill
    | salt_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).

thf(154,plain,
    ( ~ salt_mill
    | salt_barry
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(5,axiom,
    ( ~ mustard_cole
    | mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).

thf(72,plain,
    ( ~ mustard_cole
    | mustard_dix
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(48,axiom,
    ( ~ salt_barry
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34) ).

thf(158,plain,
    ( ~ salt_barry
    | mustard_barry
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(62,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).

thf(186,plain,
    ( ~ mustard_barry
    | ~ mustard_dix
    | salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(26,axiom,
    ( salt_dix
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c25) ).

thf(114,plain,
    ( salt_dix
    | ~ mustard_dix
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(53,axiom,
    ( salt_cole
    | ~ mustard_cole
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c27) ).

thf(168,plain,
    ( salt_cole
    | ~ mustard_cole
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(42,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

thf(146,plain,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(16,axiom,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c51) ).

thf(94,plain,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(32,axiom,
    ( ~ mustard_barry
    | ~ salt_dix
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c23) ).

thf(126,plain,
    ( ~ mustard_barry
    | ~ salt_dix
    | mustard_mill ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(37,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c58) ).

thf(136,plain,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(3,axiom,
    ( salt_barry
    | ~ mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c33) ).

thf(68,plain,
    ( salt_barry
    | ~ mustard_barry
    | salt_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(58,axiom,
    ( ~ mustard_cole
    | salt_dix
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).

thf(178,plain,
    ( ~ mustard_cole
    | salt_dix
    | mustard_lang ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(14,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).

thf(90,plain,
    ( ~ salt_dix
    | ~ salt_barry
    | mustard_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(30,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c36) ).

thf(122,plain,
    ( ~ salt_lang
    | ~ mustard_lang
    | mustard_cole ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(19,axiom,
    ( salt_barry
    | mustard_barry
    | salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c60) ).

thf(100,plain,
    ( salt_barry
    | mustard_barry
    | salt_dix ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(190,plain,
    $false,
    inference(e,[status(thm)],[142,174,102,92,150,182,104,82,138,88,170,120,184,110,152,78,164,106,84,132,116,74,160,70,156,188,124,96,134,128,166,148,64,180,176,118,144,86,172,76,98,140,66,108,130,80,162,112,154,72,158,186,114,168,146,94,126,136,68,178,90,122,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 19:55:59 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.94/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.28/0.96  % [INFO] 	 Parsing done (121ms). 
% 1.28/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.57/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.73/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.73/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.22  % [INFO] 	 Found a conjecture and 62 axioms. Running axiom selection ... 
% 1.94/1.26  % [INFO] 	 Axiom selection finished. Selected 62 axioms (removed 0 axioms). 
% 1.94/1.29  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 1.94/1.29  % [INFO] 	 Type checking passed. 
% 1.94/1.29  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.53/1.80  % External prover 'e' found a proof!
% 3.53/1.80  % [INFO] 	 Killing All external provers ... 
% 3.53/1.80  % Time passed: 1285ms (effective reasoning time: 830ms)
% 3.53/1.80  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.53/1.80  % Axioms used in derivation (62): c55, c60, c61, c19, c45, c28, c17, c14, c3, c4, c59, c11, c50, c48, c8, c37, c22, c58, c15, c44, c26, c33, c5, c56, c2, c34, c49, c9, c12, c23, c16, c27, c35, c30, c21, c1, c6, c46, c18, c38, c24, c29, c57, c13, c39, c20, c31, c53, c52, c41, c42, c40, c7, c54, c32, c43, c10, c25, c47, c62, c36, c51
% 3.53/1.80  % No. of inferences in proof: 127
% 3.53/1.81  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1285 ms resp. 830 ms w/o parsing
% 3.66/1.89  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/1.89  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------