TSTP Solution File: PUZ016-2.005 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 18:26:34 EDT 2022

% Result   : Unsatisfiable 0.48s 0.63s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(uncovered2_1_2,negated_conjecture,
    ~ vertical_1_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',uncovered2_1_2) ).

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

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

cnf(6,plain,
    vertical_1_1,
    inference('REWRITE',[status(thm)],[covered_1_1,uncovered3_1_2]) ).

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

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

cnf(11,plain,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1 ),
    inference('REWRITE',[status(thm)],[covered_2_2,uncovered2_1_2]) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(35,plain,
    ~ horizontal_2_1,
    inference('REWRITE',[status(thm)],[unique_cover3_2_1,6]) ).

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

cnf(37,plain,
    ~ vertical_2_1,
    inference('REWRITE',[status(thm)],[unique_cover5_2_1,6]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(108,plain,
    ( horizontal_3_1
    | vertical_3_1 ),
    inference('REWRITE',[status(thm)],[covered_3_1,37]) ).

cnf(109,plain,
    ( horizontal_2_2
    | vertical_2_2 ),
    inference('REWRITE',[status(thm)],[11,35]) ).

cnf(110,plain,
    ( horizontal_3_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_1,108,covered_5_1]) ).

cnf(111,plain,
    ( horizontal_3_4
    | vertical_2_5
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_5,covered_3_5,covered_5_5]) ).

cnf(112,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | vertical_2_3
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_3,covered_3_3,covered_5_3]) ).

cnf(114,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_2,110,covered_4_2]) ).

cnf(115,plain,
    ( horizontal_3_4
    | horizontal_5_4
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_5,111,covered_1_5]) ).

cnf(117,plain,
    ( horizontal_3_4
    | horizontal_1_4
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_4,115,covered_4_4]) ).

cnf(118,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_2,114,109]) ).

cnf(119,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_3,118,covered_5_3]) ).

cnf(120,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,118,covered_3_3]) ).

cnf(121,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_3_4
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,119,115]) ).

cnf(122,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,119,covered_4_4]) ).

cnf(123,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,121,110]) ).

cnf(124,plain,
    ( horizontal_3_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,123,108]) ).

cnf(125,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_4,122,covered_2_4]) ).

cnf(126,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,122,124]) ).

cnf(127,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,126,110]) ).

cnf(128,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_1_4
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,127,covered_5_5]) ).

cnf(129,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_1_4
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,128,119]) ).

cnf(130,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,129,110]) ).

cnf(131,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,130,118]) ).

cnf(132,plain,
    ( horizontal_3_1
    | horizontal_2_2
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,131,108]) ).

cnf(133,plain,
    ( horizontal_2_2
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_2,132,109]) ).

cnf(134,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,133,112]) ).

cnf(135,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,134,115]) ).

cnf(136,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,134,covered_4_4]) ).

cnf(138,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,135,110]) ).

cnf(140,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,135,covered_4_2]) ).

cnf(141,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,136,138]) ).

cnf(142,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,141,110]) ).

cnf(143,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_3_1
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,142,covered_5_5]) ).

cnf(144,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_3_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,143,134]) ).

cnf(145,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,144,110]) ).

cnf(146,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,145,covered_3_3]) ).

cnf(148,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,146,133]) ).

cnf(149,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_4,148,117]) ).

cnf(150,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_3
    | vertical_2_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_5,149,covered_3_5]) ).

cnf(151,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_5,150,covered_1_5]) ).

cnf(152,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_3,151,covered_5_3]) ).

cnf(153,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,152,115]) ).

cnf(154,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,153,110]) ).

cnf(155,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_4,154,148]) ).

cnf(156,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_2,155,114]) ).

cnf(157,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_3,156,covered_5_3]) ).

cnf(158,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,157,115]) ).

cnf(159,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,157,covered_4_4]) ).

cnf(160,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,158,110]) ).

cnf(161,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,160,108]) ).

cnf(162,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,159,161]) ).

cnf(163,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,162,110]) ).

cnf(164,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,163,covered_5_5]) ).

cnf(165,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,164,157]) ).

cnf(166,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,165,110]) ).

cnf(167,plain,
    ( horizontal_1_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,166,156]) ).

cnf(168,plain,
    ( horizontal_1_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,167,108]) ).

cnf(169,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,168,140]) ).

cnf(170,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,169,covered_3_3]) ).

cnf(171,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,170,133]) ).

cnf(172,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,171,covered_5_1]) ).

cnf(173,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,172,135]) ).

cnf(174,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,173,136]) ).

cnf(176,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,174,covered_4_2]) ).

cnf(177,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,176,168]) ).

cnf(178,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,177,covered_5_5]) ).

cnf(179,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,178,134]) ).

cnf(181,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,179,covered_4_2]) ).

cnf(182,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,181,168]) ).

cnf(183,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_1
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,182,covered_3_3]) ).

cnf(185,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,183,133]) ).

cnf(186,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_1
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,185,covered_3_3]) ).

cnf(188,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,186,133]) ).

cnf(189,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,188,covered_5_1]) ).

cnf(190,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,189,174]) ).

cnf(191,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,190,covered_5_5]) ).

cnf(192,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,191,134]) ).

cnf(193,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,192,189]) ).

cnf(194,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,193,covered_3_3]) ).

cnf(196,plain,
    ( horizontal_1_4
    | horizontal_3_3
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_3,194,133]) ).

cnf(197,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_4,196,117]) ).

cnf(198,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3
    | vertical_2_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_5,197,covered_3_5]) ).

cnf(199,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_5,198,covered_1_5]) ).

cnf(200,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_3,199,covered_5_3]) ).

cnf(201,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,200,115]) ).

cnf(202,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,201,covered_4_2]) ).

cnf(203,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,202,168]) ).

cnf(204,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,203,199]) ).

cnf(205,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,204,covered_5_1]) ).

cnf(206,plain,
    ( horizontal_1_4
    | horizontal_3_2
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,205,201]) ).

cnf(207,plain,
    ( horizontal_1_4
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_4,206,196]) ).

cnf(208,plain,
    horizontal_1_4,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_2,207,168]) ).

cnf(209,plain,
    ~ vertical_1_4,
    inference('REWRITE',[status(thm)],[unique_cover1_1_4,208]) ).

cnf(210,plain,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3 ),
    inference('REWRITE',[status(thm)],[covered_2_4,209]) ).

cnf(211,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('REWRITE',[status(thm)],[125,209]) ).

cnf(214,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,211,110]) ).

cnf(215,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,214,covered_5_5]) ).

cnf(216,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,215,119]) ).

cnf(217,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,216,110]) ).

cnf(218,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,217,118]) ).

cnf(219,plain,
    ( horizontal_3_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,218,108]) ).

cnf(220,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_2,219,109]) ).

cnf(221,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_5,220,111]) ).

cnf(224,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,221,119]) ).

cnf(225,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,224,110]) ).

cnf(226,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,225,108]) ).

cnf(227,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,226,122]) ).

cnf(228,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,227,110]) ).

cnf(229,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,228,covered_5_5]) ).

cnf(230,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,229,119]) ).

cnf(231,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,230,110]) ).

cnf(232,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,231,118]) ).

cnf(233,plain,
    ( horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,232,108]) ).

cnf(234,plain,
    ( horizontal_2_2
    | horizontal_2_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_2,233,109]) ).

cnf(236,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_3_3
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_3,234,120]) ).

cnf(240,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,236,108]) ).

cnf(243,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_4,240,122]) ).

cnf(247,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,243,110]) ).

cnf(248,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,247,covered_5_5]) ).

cnf(250,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,248,119]) ).

cnf(251,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,250,110]) ).

cnf(252,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,251,118]) ).

cnf(253,plain,
    ( horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,252,108]) ).

cnf(254,plain,
    ( horizontal_2_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_2,253,109]) ).

cnf(255,plain,
    horizontal_2_2,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_2,254,109]) ).

cnf(258,plain,
    ~ horizontal_2_3,
    inference('REWRITE',[status(thm)],[unique_cover2_2_3,255]) ).

cnf(259,plain,
    ( horizontal_2_4
    | vertical_2_4 ),
    inference('REWRITE',[status(thm)],[210,258]) ).

cnf(260,plain,
    ~ vertical_2_3,
    inference('REWRITE',[status(thm)],[unique_cover4_2_3,255]) ).

cnf(261,plain,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2 ),
    inference('REWRITE',[status(thm)],[covered_3_3,260]) ).

cnf(262,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('REWRITE',[status(thm)],[112,260]) ).

cnf(263,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,262,covered_4_4]) ).

cnf(264,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_4,263,259]) ).

cnf(265,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,264,110]) ).

cnf(266,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,264,covered_4_2]) ).

cnf(267,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,265,covered_5_5]) ).

cnf(268,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,267,262]) ).

cnf(269,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,268,110]) ).

cnf(270,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_2_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,269,261]) ).

cnf(271,plain,
    ( horizontal_3_2
    | horizontal_2_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_4,270,259]) ).

cnf(272,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_2,271,114]) ).

cnf(273,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_3,272,covered_5_3]) ).

cnf(274,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,273,covered_4_4]) ).

cnf(275,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_4,274,259]) ).

cnf(276,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,275,110]) ).

cnf(277,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,276,covered_5_5]) ).

cnf(278,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,277,273]) ).

cnf(279,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,278,110]) ).

cnf(280,plain,
    ( horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,279,272]) ).

cnf(281,plain,
    ( horizontal_2_4
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,280,108]) ).

cnf(282,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,281,266]) ).

cnf(283,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,282,covered_5_5]) ).

cnf(284,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,283,262]) ).

cnf(285,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,284,covered_4_2]) ).

cnf(286,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_2,285,281]) ).

cnf(287,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,286,261]) ).

cnf(288,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,287,261]) ).

cnf(289,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,288,covered_5_1]) ).

cnf(290,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,289,264]) ).

cnf(291,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,290,covered_5_5]) ).

cnf(292,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,291,262]) ).

cnf(293,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,292,289]) ).

cnf(294,plain,
    ( horizontal_2_4
    | horizontal_3_3
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,293,261]) ).

cnf(295,plain,
    ( horizontal_2_4
    | horizontal_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_4,294,259]) ).

cnf(296,plain,
    horizontal_2_4,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_2,295,281]) ).

cnf(300,plain,
    ~ vertical_2_5,
    inference('REWRITE',[status(thm)],[unique_cover4_2_5,296]) ).

cnf(301,plain,
    ( vertical_3_5
    | horizontal_3_4 ),
    inference('REWRITE',[status(thm)],[covered_3_5,300]) ).

cnf(302,plain,
    ( horizontal_3_4
    | horizontal_5_4 ),
    inference('REWRITE',[status(thm)],[111,300]) ).

cnf(303,plain,
    ( horizontal_3_4
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_4,302,covered_4_4]) ).

cnf(304,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,302,262]) ).

cnf(305,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,304,110]) ).

cnf(306,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,304,covered_4_2]) ).

cnf(307,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,305,263]) ).

cnf(308,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,307,110]) ).

cnf(309,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,308,covered_5_5]) ).

cnf(310,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,309,262]) ).

cnf(311,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,310,110]) ).

cnf(312,plain,
    ( horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,311,261]) ).

cnf(313,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_4,312,303]) ).

cnf(314,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_5,313,301]) ).

cnf(315,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_3,314,covered_5_3]) ).

cnf(316,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,315,302]) ).

cnf(317,plain,
    ( horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,316,110]) ).

cnf(318,plain,
    ( horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_4,317,312]) ).

cnf(319,plain,
    ( horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_2,318,114]) ).

cnf(320,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_3,319,covered_5_3]) ).

cnf(321,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,320,302]) ).

cnf(322,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_4,320,covered_4_4]) ).

cnf(323,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,321,110]) ).

cnf(324,plain,
    ( horizontal_3_1
    | horizontal_3_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,323,108]) ).

cnf(325,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,322,324]) ).

cnf(326,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,325,110]) ).

cnf(327,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,326,covered_5_5]) ).

cnf(328,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,327,320]) ).

cnf(329,plain,
    ( horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,328,110]) ).

cnf(330,plain,
    ( horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_3,329,319]) ).

cnf(331,plain,
    horizontal_3_1,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_1,330,108]) ).

cnf(334,plain,
    ~ horizontal_3_2,
    inference('REWRITE',[status(thm)],[unique_cover2_3_2,331]) ).

cnf(335,plain,
    ( horizontal_3_3
    | vertical_3_3 ),
    inference('REWRITE',[status(thm)],[261,334]) ).

cnf(336,plain,
    ( horizontal_3_3
    | horizontal_5_3
    | horizontal_5_2 ),
    inference('REWRITE',[status(thm)],[262,334]) ).

cnf(337,plain,
    ( horizontal_3_3
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('REWRITE',[status(thm)],[263,334]) ).

cnf(338,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2 ),
    inference('REWRITE',[status(thm)],[304,334]) ).

cnf(339,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    inference('REWRITE',[status(thm)],[306,334]) ).

cnf(340,plain,
    ~ vertical_3_2,
    inference('REWRITE',[status(thm)],[unique_cover4_3_2,331]) ).

cnf(341,plain,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1 ),
    inference('REWRITE',[status(thm)],[covered_4_2,340]) ).

cnf(342,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('REWRITE',[status(thm)],[339,340]) ).

cnf(343,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,342,335]) ).

cnf(344,plain,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,343,covered_5_1]) ).

cnf(345,plain,
    ( horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,344,338]) ).

cnf(346,plain,
    ( horizontal_3_3
    | horizontal_5_2
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_4,345,337]) ).

cnf(347,plain,
    ( horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,346,341]) ).

cnf(348,plain,
    ( horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,347,covered_5_5]) ).

cnf(349,plain,
    ( horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,348,336]) ).

cnf(350,plain,
    ( horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_2,349,341]) ).

cnf(351,plain,
    ( horizontal_3_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,350,335]) ).

cnf(352,plain,
    ( horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_3,351,335]) ).

cnf(353,plain,
    ( horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_1,352,covered_5_1]) ).

cnf(354,plain,
    ( horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,353,346]) ).

cnf(355,plain,
    ( horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_5,354,covered_5_5]) ).

cnf(356,plain,
    ( horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_4,355,336]) ).

cnf(357,plain,
    ( horizontal_3_3
    | horizontal_4_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_2,356,353]) ).

cnf(358,plain,
    horizontal_3_3,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_3,357,335]) ).

cnf(361,plain,
    ~ horizontal_3_4,
    inference('REWRITE',[status(thm)],[unique_cover2_3_4,358]) ).

cnf(362,plain,
    vertical_3_5,
    inference('REWRITE',[status(thm)],[301,361]) ).

cnf(363,plain,
    ~ vertical_4_5,
    inference('REWRITE',[status(thm)],[unique_cover5_4_5,362]) ).

cnf(364,plain,
    horizontal_5_4,
    inference('REWRITE',[status(thm)],[covered_5_5,363]) ).

cnf(365,plain,
    ~ horizontal_5_3,
    inference('REWRITE',[status(thm)],[unique_cover2_5_4,364]) ).

cnf(366,plain,
    ( horizontal_5_2
    | vertical_4_3 ),
    inference('REWRITE',[status(thm)],[covered_5_3,365]) ).

cnf(367,plain,
    ~ vertical_4_4,
    inference('REWRITE',[status(thm)],[unique_cover3_5_4,364]) ).

cnf(368,plain,
    ( horizontal_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    inference('REWRITE',[status(thm)],[covered_4_4,367]) ).

cnf(369,plain,
    ~ horizontal_4_4,
    inference('REWRITE',[status(thm)],[unique_cover6_4_5,362]) ).

cnf(370,plain,
    ( horizontal_4_3
    | vertical_3_4 ),
    inference('REWRITE',[status(thm)],[368,369]) ).

cnf(371,plain,
    ~ vertical_3_4,
    inference('REWRITE',[status(thm)],[unique_cover4_3_4,358]) ).

cnf(372,plain,
    horizontal_4_3,
    inference('REWRITE',[status(thm)],[370,371]) ).

cnf(373,plain,
    ~ vertical_4_3,
    inference('REWRITE',[status(thm)],[unique_cover1_4_3,372]) ).

cnf(374,plain,
    horizontal_5_2,
    inference('REWRITE',[status(thm)],[366,373]) ).

cnf(375,plain,
    ~ horizontal_5_1,
    inference('REWRITE',[status(thm)],[unique_cover2_5_2,374]) ).

cnf(376,plain,
    vertical_4_1,
    inference('REWRITE',[status(thm)],[covered_5_1,375]) ).

cnf(377,plain,
    ~ horizontal_4_1,
    inference('REWRITE',[status(thm)],[unique_cover1_4_1,376]) ).

cnf(378,plain,
    ( horizontal_4_2
    | vertical_4_2 ),
    inference('REWRITE',[status(thm)],[341,377]) ).

cnf(379,plain,
    ~ vertical_4_2,
    inference('REWRITE',[status(thm)],[unique_cover3_5_2,374]) ).

cnf(380,plain,
    horizontal_4_2,
    inference('REWRITE',[status(thm)],[378,379]) ).

cnf(381,plain,
    $false,
    inference('REWRITE',[status(thm)],[unique_cover2_4_3,380,372]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat May 28 22:58:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48  * 
% 0.22/0.48  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T22:58:55
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-28T22:58:55
% 0.37/0.52  WARNING:
% 0.37/0.52     #:|horizontal_1_2| is a proposition that occurs only negatively; disabling rows that contain it.
% 0.48/0.63  
% 0.48/0.63  
% 0.48/0.63  #||
% 0.48/0.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.63  % SZS output start Refutation
% See solution above
% 0.48/0.66  ||#
% 0.48/0.66  
% 0.48/0.66  ; Summary of computation:
% 0.48/0.66  ;      1559 formulas have been input or derived (from 339 formulas).
% 0.48/0.66  ;       381 (24%) were retained.  Of these,
% 0.48/0.66  ;          341 (90%) were simplified or subsumed later,
% 0.48/0.66  ;           40 (10%) are still being kept.
% 0.48/0.66  ; 
% 0.48/0.66  ; Run time in seconds excluding printing time:
% 0.48/0.66  ;     0.012   8%   Read assertion file          (1 call)
% 0.48/0.66  ;     0.003   2%   Assert                       (117 calls)
% 0.48/0.66  ;     0.014  10%   Process new row              (1,535 calls)
% 0.48/0.66  ;     0.017  12%   Resolution                   (676 calls)
% 0.48/0.66  ;     0.002   1%   Paramodulation               (338 calls)
% 0.48/0.66  ;     0.001   1%   Factoring                    (249 calls)
% 0.48/0.66  ;     0.001   1%   Condensing                   (988 calls)
% 0.48/0.66  ;     0.026  18%   Forward subsumption          (988 calls)
% 0.48/0.66  ;     0.010   7%   Backward subsumption         (335 calls)
% 0.48/0.66  ;     0.006   4%   Clause clause subsumption    (841 calls)
% 0.48/0.66  ;     0.009   6%   Forward simplification       (1,043 calls)
% 0.48/0.66  ;     0.002   1%   Backward simplification      (375 calls)
% 0.48/0.66  ;     0.004   3%   Ordering                     (1,438 calls)
% 0.48/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.66  ;     0.034  24%   Other
% 0.48/0.66  ;     0.142        Total
% 0.48/0.66  ;     0.164        Real time
% 0.48/0.66  ; 
% 0.48/0.66  ; Term-hash-array has 0 terms in all.
% 0.48/0.66  ; Feature-vector-row-index has 0 entries (120 at peak, 335 added, 335 deleted).
% 0.48/0.66  ; Feature-vector-row-index has 1 node (202 at peak, 861 added, 860 deleted).
% 0.48/0.66  ;  Retrieved 4,836 possibly forward subsuming rows in 988 calls.
% 0.48/0.66  ;  Retrieved 326 possibly backward subsumed rows in 335 calls.
% 0.48/0.66  ; Path-index has 39 entries (39 at peak, 40 added, 1 deleted).
% 0.48/0.66  ; Path-index has 40 nodes (40 at peak, 41 added, 1 deleted).
% 0.48/0.66  ; Trie-index has 39 entries (39 at peak, 40 added, 1 deleted).
% 0.48/0.66  ; Trie-index has 40 nodes (40 at peak, 41 added, 1 deleted).
% 0.48/0.66  ; Retrieved 39 instance terms in 39 calls.
% 0.48/0.66  ; Retrieved 2,127 unifiable terms in 2,142 calls.
% 0.48/0.66  ; 
% 0.48/0.66  ; The agenda of rows to process has 5 entries:
% 0.48/0.66  ;     2 with value 22              3 with value 23
% 0.48/0.66  ; The agenda of input rows to give has 17 entries:
% 0.48/0.66  ;    17 with value 1
% 0.48/0.66  ; The agenda of rows to give has 5 entries:
% 0.48/0.66  ;     1 with value (4 20)          1 with value (4 35)           1 with value (4 80)
% 0.48/0.66  ;     1 with value (4 28)          1 with value (4 37)
% 0.48/0.66  Evaluation took:
% 0.48/0.66    0.164 seconds of real time
% 0.48/0.66    0.142376 seconds of user run time
% 0.48/0.66    0.022101 seconds of system run time
% 0.48/0.66    [Run times include 0.005 seconds GC run time.]
% 0.48/0.66    0 calls to %EVAL
% 0.48/0.66    0 page faults and
% 0.48/0.66    23,499,920 bytes consed.
% 0.48/0.66  :PROOF-FOUND
% 0.48/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T22:58:55
% 0.48/0.66  :PROOF-FOUND
% 0.48/0.66  * 
%------------------------------------------------------------------------------