TSTP Solution File: PUZ016-2.005 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n007.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 11:47:25 EDT 2023

% Result   : Unsatisfiable 4.16s 1.93s
% Output   : Refutation 4.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  157
% Syntax   : Number of formulae    :  275 (  13 unt;  40 typ;   0 def)
%            Number of atoms       :  513 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  642 ( 364   ~; 278   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   41 (  40 usr;  41 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(horizontal_1_2_type,type,
    horizontal_1_2: $o ).

thf(horizontal_1_3_type,type,
    horizontal_1_3: $o ).

thf(vertical_1_2_type,type,
    vertical_1_2: $o ).

thf(vertical_1_3_type,type,
    vertical_1_3: $o ).

thf(horizontal_1_1_type,type,
    horizontal_1_1: $o ).

thf(vertical_1_1_type,type,
    vertical_1_1: $o ).

thf(horizontal_1_4_type,type,
    horizontal_1_4: $o ).

thf(vertical_1_4_type,type,
    vertical_1_4: $o ).

thf(vertical_1_5_type,type,
    vertical_1_5: $o ).

thf(horizontal_2_1_type,type,
    horizontal_2_1: $o ).

thf(vertical_2_1_type,type,
    vertical_2_1: $o ).

thf(horizontal_2_2_type,type,
    horizontal_2_2: $o ).

thf(vertical_2_2_type,type,
    vertical_2_2: $o ).

thf(horizontal_2_3_type,type,
    horizontal_2_3: $o ).

thf(vertical_2_3_type,type,
    vertical_2_3: $o ).

thf(horizontal_2_4_type,type,
    horizontal_2_4: $o ).

thf(vertical_2_4_type,type,
    vertical_2_4: $o ).

thf(vertical_2_5_type,type,
    vertical_2_5: $o ).

thf(horizontal_3_1_type,type,
    horizontal_3_1: $o ).

thf(vertical_3_1_type,type,
    vertical_3_1: $o ).

thf(horizontal_3_2_type,type,
    horizontal_3_2: $o ).

thf(vertical_3_2_type,type,
    vertical_3_2: $o ).

thf(horizontal_3_3_type,type,
    horizontal_3_3: $o ).

thf(vertical_3_3_type,type,
    vertical_3_3: $o ).

thf(horizontal_3_4_type,type,
    horizontal_3_4: $o ).

thf(vertical_3_4_type,type,
    vertical_3_4: $o ).

thf(vertical_3_5_type,type,
    vertical_3_5: $o ).

thf(horizontal_4_1_type,type,
    horizontal_4_1: $o ).

thf(vertical_4_1_type,type,
    vertical_4_1: $o ).

thf(horizontal_4_2_type,type,
    horizontal_4_2: $o ).

thf(vertical_4_2_type,type,
    vertical_4_2: $o ).

thf(horizontal_4_3_type,type,
    horizontal_4_3: $o ).

thf(vertical_4_3_type,type,
    vertical_4_3: $o ).

thf(horizontal_4_4_type,type,
    horizontal_4_4: $o ).

thf(vertical_4_4_type,type,
    vertical_4_4: $o ).

thf(vertical_4_5_type,type,
    vertical_4_5: $o ).

thf(horizontal_5_1_type,type,
    horizontal_5_1: $o ).

thf(horizontal_5_2_type,type,
    horizontal_5_2: $o ).

thf(horizontal_5_3_type,type,
    horizontal_5_3: $o ).

thf(horizontal_5_4_type,type,
    horizontal_5_4: $o ).

thf(117,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_5) ).

thf(150,plain,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(29,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_5) ).

thf(138,plain,
    ( horizontal_5_4
    | vertical_4_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(111,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_3) ).

thf(234,plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(64,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_2) ).

thf(170,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(58,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_5) ).

thf(217,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(101,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_4) ).

thf(120,plain,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(16,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_2) ).

thf(202,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(89,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_2) ).

thf(142,plain,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(33,negated_conjecture,
    ( ~ vertical_1_4
    | ~ horizontal_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_4) ).

thf(153,plain,
    ( ~ vertical_1_4
    | ~ horizontal_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(22,negated_conjecture,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_3) ).

thf(174,plain,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(76,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_4) ).

thf(185,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(81,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_5) ).

thf(184,plain,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(56,negated_conjecture,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_5) ).

thf(125,plain,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(48,negated_conjecture,
    ( ~ vertical_2_3
    | ~ vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_3) ).

thf(196,plain,
    ( ~ vertical_2_3
    | ~ vertical_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(65,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_2) ).

thf(157,plain,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(103,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_4) ).

thf(189,plain,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(21,negated_conjecture,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_2) ).

thf(152,plain,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(15,negated_conjecture,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_1) ).

thf(228,plain,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(75,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_4) ).

thf(216,plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(13,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_4) ).

thf(164,plain,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(12,negated_conjecture,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_3) ).

thf(179,plain,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(26,negated_conjecture,
    ( horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_2) ).

thf(211,plain,
    ( horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(88,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_2) ).

thf(121,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(85,negated_conjecture,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_1) ).

thf(147,plain,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(51,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_4) ).

thf(221,plain,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(110,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_2) ).

thf(132,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(20,negated_conjecture,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_1) ).

thf(133,plain,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(43,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_2) ).

thf(206,plain,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(90,negated_conjecture,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_2) ).

thf(233,plain,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(67,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_2) ).

thf(201,plain,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(30,negated_conjecture,
    ( ~ horizontal_1_1
    | ~ vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_1) ).

thf(220,plain,
    ( ~ horizontal_1_1
    | ~ vertical_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(53,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_4) ).

thf(160,plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(108,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_2) ).

thf(192,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(78,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_4) ).

thf(137,plain,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(41,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_2) ).

thf(165,plain,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(68,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_3) ).

thf(229,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(63,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_2) ).

thf(197,plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(4,negated_conjecture,
    ~ vertical_1_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_3) ).

thf(224,plain,
    ~ vertical_1_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(92,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_3) ).

thf(156,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(98,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_4) ).

thf(188,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(45,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_3) ).

thf(169,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(61,negated_conjecture,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_1) ).

thf(141,plain,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(3,negated_conjecture,
    ~ vertical_1_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).

thf(193,plain,
    ~ vertical_1_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(23,negated_conjecture,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_4) ).

thf(212,plain,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(10,negated_conjecture,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_1) ).

thf(124,plain,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(79,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_4) ).

thf(225,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(34,negated_conjecture,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_1_5) ).

thf(173,plain,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(25,negated_conjecture,
    ( horizontal_5_1
    | vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_1) ).

thf(129,plain,
    ( horizontal_5_1
    | vertical_4_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(46,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_3) ).

thf(134,plain,
    ( ~ horizontal_2_3
    | ~ vertical_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(37,negated_conjecture,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_1) ).

thf(128,plain,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(72,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_3) ).

thf(205,plain,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(73,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_3) ).

thf(166,plain,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(102,negated_conjecture,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_4) ).

thf(148,plain,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(109,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_2) ).

thf(161,plain,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(54,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_4) ).

thf(180,plain,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(60,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_1) ).

thf(149,plain,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(59,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_1) ).

thf(176,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(66,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_3_2) ).

thf(191,plain,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(112,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_3) ).

thf(118,plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(11,negated_conjecture,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_2) ).

thf(204,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,negated_conjecture,
    ~ horizontal_1_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered1_1_2) ).

thf(144,plain,
    ~ horizontal_1_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(49,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_3) ).

thf(181,plain,
    ( ~ horizontal_2_2
    | ~ vertical_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(9,negated_conjecture,
    ( vertical_1_5
    | horizontal_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_5) ).

thf(159,plain,
    ( vertical_1_5
    | horizontal_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(39,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_2_2) ).

thf(187,plain,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(32,negated_conjecture,
    ( ~ horizontal_1_4
    | ~ horizontal_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_1_4) ).

thf(172,plain,
    ( ~ horizontal_1_4
    | ~ horizontal_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(36,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_1) ).

thf(219,plain,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(62,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_2) ).

thf(230,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(87,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_2) ).

thf(208,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(84,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_1) ).

thf(140,plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(55,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_2_4) ).

thf(213,plain,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(38,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_2) ).

thf(155,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(18,negated_conjecture,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_4) ).

thf(198,plain,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(52,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_4) ).

thf(130,plain,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(107,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_1) ).

thf(223,plain,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(93,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_3) ).

thf(135,plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(94,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_3) ).

thf(226,plain,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(105,negated_conjecture,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_5) ).

thf(167,plain,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(77,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_4) ).

thf(162,plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(104,negated_conjecture,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_5) ).

thf(209,plain,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(5,negated_conjecture,
    ~ horizontal_1_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_2) ).

thf(123,plain,
    ~ horizontal_1_1,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(80,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_5) ).

thf(194,plain,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(74,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_3_4) ).

thf(145,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(95,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_4_3) ).

thf(199,plain,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(24,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_4_5) ).

thf(127,plain,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(27,negated_conjecture,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_3) ).

thf(177,plain,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(86,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_2) ).

thf(182,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(28,negated_conjecture,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_5_4) ).

thf(154,plain,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(44,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_3) ).

thf(175,plain,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(116,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_4) ).

thf(143,plain,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(83,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_4_1) ).

thf(231,plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(31,negated_conjecture,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_1_4) ).

thf(203,plain,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(82,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_3_5) ).

thf(218,plain,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(97,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_3) ).

thf(158,plain,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(7,negated_conjecture,
    ( horizontal_1_1
    | vertical_1_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_1) ).

thf(186,plain,
    ( horizontal_1_1
    | vertical_1_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(17,negated_conjecture,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_3) ).

thf(171,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(106,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_5) ).

thf(139,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(69,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_3_3) ).

thf(119,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(99,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_4_4) ).

thf(207,plain,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(114,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover2_5_4) ).

thf(214,plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(70,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_3_3) ).

thf(151,plain,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(2,negated_conjecture,
    ~ horizontal_1_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered1_1_3) ).

thf(168,plain,
    ~ horizontal_1_3,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,negated_conjecture,
    ~ horizontal_1_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered3_1_3) ).

thf(146,plain,
    ~ horizontal_1_2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(91,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_4_2) ).

thf(190,plain,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(113,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover6_5_3) ).

thf(183,plain,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(40,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_2_2) ).

thf(210,plain,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(35,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_1) ).

thf(195,plain,
    ( ~ horizontal_2_1
    | ~ vertical_2_1 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(42,negated_conjecture,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_2) ).

thf(126,plain,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(57,negated_conjecture,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_2_5) ).

thf(136,plain,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(14,negated_conjecture,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_2_5) ).

thf(131,plain,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(71,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_3_3) ).

thf(178,plain,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(96,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover5_4_3) ).

thf(163,plain,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(50,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover1_2_4) ).

thf(200,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(47,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover4_2_3) ).

thf(227,plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(115,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_5_4) ).

thf(122,plain,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(8,negated_conjecture,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_1_4) ).

thf(215,plain,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(19,negated_conjecture,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',covered_3_5) ).

thf(222,plain,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(100,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_cover3_4_4) ).

thf(232,plain,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(352,plain,
    $false,
    inference(e,[status(thm)],[150,138,234,170,217,120,202,142,153,174,185,184,125,196,157,189,152,228,216,164,179,211,121,147,221,132,133,206,233,201,220,160,192,137,165,229,197,224,156,188,169,141,193,212,124,225,173,129,134,128,205,166,148,161,180,149,176,191,118,204,144,181,159,187,172,219,230,208,140,213,155,198,130,223,135,226,167,162,209,123,194,145,199,127,177,182,154,175,143,231,203,218,158,186,171,139,119,207,214,151,168,146,190,183,210,195,126,136,131,178,163,200,227,122,215,222,232]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 19:45:54 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.98/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.23/1.01  % [INFO] 	 Parsing done (153ms). 
% 1.50/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.87/1.23  % [INFO] 	 eprover registered as external prover. 
% 1.87/1.23  % [INFO] 	 cvc4 registered as external prover. 
% 1.87/1.23  % [INFO] 	 Scanning for conjecture ... 
% 2.19/1.34  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.19/1.38  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.19/1.38  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.19/1.39  % [INFO] 	 Type checking passed. 
% 2.19/1.39  % [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 ... 
% 4.16/1.92  % External prover 'e' found a proof!
% 4.16/1.92  % [INFO] 	 Killing All external provers ... 
% 4.16/1.93  % Time passed: 1401ms (effective reasoning time: 903ms)
% 4.16/1.93  % 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)>
% 4.16/1.93  % Axioms used in derivation (0): 
% 4.16/1.93  % No. of inferences in proof: 235
% 4.16/1.93  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1401 ms resp. 903 ms w/o parsing
% 4.16/1.97  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.16/1.97  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------