TSTP Solution File: HWV003-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 : Sat Jul 16 19:10:29 EDT 2022

% Result   : Unsatisfiable 0.45s 0.65s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   56
% Syntax   : Number of clauses     :  156 (  16 unt; 104 nHn; 156 RR)
%            Number of literals    :  443 (   0 equ;  91 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   23 (  22 usr;  23 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1A,negated_conjecture,
    ( a11
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1A) ).

cnf(clause_1B,negated_conjecture,
    ( a11
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1B) ).

cnf(clause_1C,negated_conjecture,
    ( ~ a11
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1C) ).

cnf(clause_2A,negated_conjecture,
    ( a12
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2A) ).

cnf(clause_2B,negated_conjecture,
    ( a12
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2B) ).

cnf(clause_2C,negated_conjecture,
    ( ~ a12
    | ~ a
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2C) ).

cnf(clause_3A,negated_conjecture,
    ( a13
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3A) ).

cnf(clause_3B,negated_conjecture,
    ( a13
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3B) ).

cnf(clause_3C,negated_conjecture,
    ( ~ a13
    | ~ b
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3C) ).

cnf(clause_4A,negated_conjecture,
    ( a14
    | a12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4A) ).

cnf(clause_4B,negated_conjecture,
    ( a14
    | a13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4B) ).

cnf(clause_4C,negated_conjecture,
    ( ~ a14
    | ~ a12
    | ~ a13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4C) ).

cnf(clause_5A,negated_conjecture,
    ( a15
    | a14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5A) ).

cnf(clause_5B,negated_conjecture,
    ( a15
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5B) ).

cnf(clause_5C,negated_conjecture,
    ( ~ a15
    | ~ a14
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5C) ).

cnf(clause_6A,negated_conjecture,
    ( a16
    | a14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6A) ).

cnf(clause_6B,negated_conjecture,
    ( a16
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6B) ).

cnf(clause_6C,negated_conjecture,
    ( ~ a16
    | ~ a14
    | ~ a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6C) ).

cnf(clause_7A,negated_conjecture,
    ( a17
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7A) ).

cnf(clause_7B,negated_conjecture,
    ( a17
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7B) ).

cnf(clause_7C,negated_conjecture,
    ( ~ a17
    | ~ a15
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7C) ).

cnf(clause_8A,negated_conjecture,
    ( s1
    | a16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8A) ).

cnf(clause_8B,negated_conjecture,
    ( s1
    | a17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8B) ).

cnf(clause_8C,negated_conjecture,
    ( ~ s1
    | ~ a16
    | ~ a17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8C) ).

cnf(clause_9A,negated_conjecture,
    ( c1
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9A) ).

cnf(clause_9B,negated_conjecture,
    ( c1
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9B) ).

cnf(clause_9C,negated_conjecture,
    ( ~ c1
    | ~ a15
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9C) ).

cnf(clause_10A,negated_conjecture,
    ( a21
    | a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10A) ).

cnf(clause_10B,negated_conjecture,
    ( a21
    | ~ a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10B) ).

cnf(clause_10C,negated_conjecture,
    ( ~ a21
    | a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10C) ).

cnf(clause_10D,negated_conjecture,
    ( ~ a21
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10D) ).

cnf(clause_11A,negated_conjecture,
    ( ~ a22
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11A) ).

cnf(clause_11B,negated_conjecture,
    ( ~ a22
    | a23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11B) ).

cnf(clause_11C,negated_conjecture,
    ( a22
    | ~ cI
    | ~ a23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11C) ).

cnf(clause_12A,negated_conjecture,
    ( a23
    | ~ a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12A) ).

cnf(clause_12B,negated_conjecture,
    ( a23
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12B) ).

cnf(clause_12C,negated_conjecture,
    ( ~ a23
    | a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12C) ).

cnf(clause_13A,negated_conjecture,
    ( a24
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13A) ).

cnf(clause_13B,negated_conjecture,
    ( ~ a24
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13B) ).

cnf(clause_14A,negated_conjecture,
    ( ~ a25
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14A) ).

cnf(clause_14B,negated_conjecture,
    ( ~ a25
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14B) ).

cnf(clause_14C,negated_conjecture,
    ( a25
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14C) ).

cnf(clause_15B,negated_conjecture,
    ( ~ a26
    | a25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15B) ).

cnf(clause_15C,negated_conjecture,
    ( a26
    | ~ a24
    | ~ a25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15C) ).

cnf(clause_16A,negated_conjecture,
    ( s2
    | cI
    | ~ a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16A) ).

cnf(clause_16B,negated_conjecture,
    ( s2
    | ~ cI
    | a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16B) ).

cnf(clause_16C,negated_conjecture,
    ( ~ s2
    | cI
    | a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16C) ).

cnf(clause_16D,negated_conjecture,
    ( ~ s2
    | ~ cI
    | ~ a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16D) ).

cnf(clause_17A,negated_conjecture,
    ( c2
    | ~ a22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17A) ).

cnf(clause_17B,negated_conjecture,
    ( c2
    | ~ a26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17B) ).

cnf(clause_17C,negated_conjecture,
    ( ~ c2
    | a22
    | a26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17C) ).

cnf(clause_18C,negated_conjecture,
    ( ~ conjline18
    | s1
    | s2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18C) ).

cnf(clause_18D,negated_conjecture,
    ( ~ conjline18
    | ~ s1
    | ~ s2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18D) ).

cnf(clause_19C,negated_conjecture,
    ( ~ conjline19
    | c1
    | c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19C) ).

cnf(clause_19D,negated_conjecture,
    ( ~ conjline19
    | ~ c1
    | ~ c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19D) ).

cnf(clause_20,negated_conjecture,
    ( conjline18
    | conjline19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

cnf(62,plain,
    ( a13
    | a23 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_12B,clause_3A]) ).

cnf(63,plain,
    ( a11
    | a23 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_12B,clause_1B]) ).

cnf(64,plain,
    ( a13
    | a21
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_10A,clause_3A]) ).

cnf(66,plain,
    ( a17
    | s2
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_16B,clause_7B]) ).

cnf(72,plain,
    ( conjline18
    | c1
    | c2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_19C,clause_20]) ).

cnf(73,plain,
    ( a13
    | a24
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11C,62,clause_13A]) ).

cnf(75,plain,
    ( a13
    | a15
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11C,62,clause_5B]) ).

cnf(77,plain,
    ( a11
    | a17
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11C,63,clause_7B]) ).

cnf(79,plain,
    ( a13
    | a
    | s2
    | cI ),
    inference('HYPERRESOLVE',[status(thm)],[clause_16A,64]) ).

cnf(85,plain,
    ( c1
    | c2
    | a17
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18D,72,clause_8B,66]) ).

cnf(86,plain,
    ( c1
    | c2
    | s1
    | s2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18C,72]) ).

cnf(89,plain,
    ( a13
    | a15
    | c2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17A,75]) ).

cnf(90,plain,
    ( a11
    | a17
    | c2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17A,77]) ).

cnf(93,plain,
    ( a13
    | a
    | cI
    | c1
    | c2
    | a16 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18D,79,72,clause_8A]) ).

cnf(97,plain,
    ( c1
    | a17
    | a21
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17C,85]) ).

cnf(98,plain,
    ( c1
    | c2
    | s1
    | cI
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_16C,86]) ).

cnf(101,plain,
    ( a13
    | a15
    | conjline18 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_19D,89,clause_20,clause_9A]) ).

cnf(102,plain,
    ( a11
    | a17
    | conjline18 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_19D,90,clause_20,clause_9B]) ).

cnf(106,plain,
    ( a13
    | a15
    | s1
    | s2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18C,101]) ).

cnf(107,plain,
    ( a11
    | a17
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18D,102,clause_8B,66]) ).

cnf(110,plain,
    ( a17
    | a21
    | a22
    | a26
    | a14
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_9C,97,clause_5A,clause_1A]) ).

cnf(111,plain,
    ( a13
    | a
    | c1
    | c2
    | a16
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_13B,93,73]) ).

cnf(113,plain,
    ( a13
    | a15
    | s1
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_16D,106,clause_5B,64]) ).

cnf(115,plain,
    ( a17
    | a21
    | a22
    | a14
    | a
    | a25 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_15B,110]) ).

cnf(118,plain,
    ( a13
    | a
    | c1
    | a16
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17C,111]) ).

cnf(119,plain,
    ( a13
    | a15
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_8C,113,clause_6B,clause_7A]) ).

cnf(120,plain,
    ( a13
    | a
    | a24 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_5C,119,clause_4B,clause_13A]) ).

cnf(123,plain,
    ( a17
    | a21
    | a22
    | a14
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_14A,115]) ).

cnf(125,plain,
    ( a13
    | a
    | a16
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_9C,118,119,clause_1A]) ).

cnf(127,plain,
    ( a17
    | a21
    | a14
    | a
    | a23 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11B,123]) ).

cnf(128,plain,
    ( a17
    | a21
    | a14
    | a
    | b ),
    inference('HYPERRESOLVE',[status(thm)],[clause_12C,127]) ).

cnf(131,plain,
    ( a13
    | a
    | a16
    | a22
    | a25 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_15B,125]) ).

cnf(132,plain,
    ( a17
    | a21
    | a14
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_10A,128]) ).

cnf(134,plain,
    ( a17
    | a14
    | a
    | b ),
    inference('HYPERRESOLVE',[status(thm)],[clause_10C,132]) ).

cnf(135,plain,
    ( a13
    | a
    | a16
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_14A,131]) ).

cnf(138,plain,
    ( a13
    | a
    | a16
    | cI ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11A,135]) ).

cnf(140,plain,
    ( a13
    | a
    | a16 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_13B,138,120]) ).

cnf(141,plain,
    ( a13
    | a ),
    inference('HYPERRESOLVE',[status(thm)],[clause_6C,140,clause_4B,119]) ).

cnf(142,plain,
    ( a
    | a17
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_3C,141,134,clause_1A]) ).

cnf(143,plain,
    ( a
    | a14
    | a24 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_7C,142,clause_5A,clause_13A]) ).

cnf(144,plain,
    ( a
    | a14
    | c1
    | c2
    | cI
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_8C,142,98,clause_6A]) ).

cnf(145,plain,
    ( a
    | a14
    | c1
    | c2
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_13B,144,143]) ).

cnf(147,plain,
    ( a
    | a14
    | c1
    | a21
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17C,145]) ).

cnf(148,plain,
    ( a
    | a14
    | a21
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_9C,147,clause_5A,clause_1A]) ).

cnf(150,plain,
    ( a
    | a14
    | a21
    | a22
    | a25 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_15B,148]) ).

cnf(151,plain,
    ( a
    | a14
    | a21
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_14A,150]) ).

cnf(154,plain,
    ( a
    | a14
    | a21
    | cI ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11A,151]) ).

cnf(156,plain,
    ( a
    | a14
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_13B,154,143]) ).

cnf(157,plain,
    ( a
    | a14
    | b ),
    inference('HYPERRESOLVE',[status(thm)],[clause_10C,156]) ).

cnf(159,plain,
    ( a
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_3C,157,141,clause_1A]) ).

cnf(160,plain,
    a,
    inference('HYPERRESOLVE',[status(thm)],[clause_4C,159,clause_2A,141]) ).

cnf(161,plain,
    ( ~ a11
    | ~ b ),
    inference('REWRITE',[status(thm)],[clause_1C,160]) ).

cnf(162,plain,
    ( ~ a12
    | ~ a11 ),
    inference('REWRITE',[status(thm)],[clause_2C,160]) ).

cnf(163,plain,
    ( a21
    | b ),
    inference('REWRITE',[status(thm)],[clause_10B,160]) ).

cnf(164,plain,
    ( ~ a21
    | ~ b ),
    inference('REWRITE',[status(thm)],[clause_10D,160]) ).

cnf(165,plain,
    a23,
    inference('REWRITE',[status(thm)],[clause_12A,160]) ).

cnf(166,plain,
    ( a22
    | ~ cI ),
    inference('REWRITE',[status(thm)],[clause_11C,165]) ).

cnf(167,plain,
    ( a25
    | ~ b ),
    inference('REWRITE',[status(thm)],[clause_14C,160]) ).

cnf(168,plain,
    ( a11
    | a17 ),
    inference('HYPERRESOLVE',[status(thm)],[164,107,clause_1B]) ).

cnf(169,plain,
    ( a24
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[166,clause_13A]) ).

cnf(171,plain,
    ( a15
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[166,clause_5B]) ).

cnf(174,plain,
    ( a11
    | a25 ),
    inference('HYPERRESOLVE',[status(thm)],[167,clause_1B]) ).

cnf(176,plain,
    ( a15
    | c2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17A,171]) ).

cnf(179,plain,
    ( a11
    | a22
    | a26 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_15C,174,169]) ).

cnf(181,plain,
    ( a15
    | conjline18 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_19D,176,clause_20,clause_9A]) ).

cnf(184,plain,
    ( a11
    | a22
    | c2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_17B,179]) ).

cnf(185,plain,
    ( a15
    | s1
    | s2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18C,181]) ).

cnf(189,plain,
    ( a11
    | a22
    | conjline18 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_19D,184,clause_20,clause_9B]) ).

cnf(190,plain,
    ( a11
    | a22
    | s1
    | s2 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18C,189]) ).

cnf(191,plain,
    ( a11
    | a14
    | a24 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_7C,168,clause_5A,clause_13A]) ).

cnf(192,plain,
    ( a11
    | a22
    | s1
    | cI
    | a21 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_16C,190]) ).

cnf(194,plain,
    ( a11
    | a22
    | cI
    | a21
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_8C,192,clause_6A,168]) ).

cnf(196,plain,
    ( a11
    | a22
    | a21
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[166,194]) ).

cnf(198,plain,
    ( a11
    | a21
    | a14
    | cI ),
    inference('HYPERRESOLVE',[status(thm)],[clause_11A,196]) ).

cnf(200,plain,
    ( a11
    | a21
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_13B,198,191]) ).

cnf(201,plain,
    ( a11
    | a14 ),
    inference('HYPERRESOLVE',[status(thm)],[164,200,clause_1B]) ).

cnf(202,plain,
    a11,
    inference('HYPERRESOLVE',[status(thm)],[clause_4C,201,clause_2B,clause_3B]) ).

cnf(203,plain,
    ( ~ c1
    | ~ a15 ),
    inference('REWRITE',[status(thm)],[clause_9C,202]) ).

cnf(204,plain,
    ~ b,
    inference('REWRITE',[status(thm)],[161,202]) ).

cnf(207,plain,
    ~ a25,
    inference('REWRITE',[status(thm)],[clause_14B,204]) ).

cnf(208,plain,
    ~ a26,
    inference('REWRITE',[status(thm)],[clause_15B,207]) ).

cnf(209,plain,
    ( ~ c2
    | a22 ),
    inference('REWRITE',[status(thm)],[clause_17C,208]) ).

cnf(211,plain,
    a21,
    inference('REWRITE',[status(thm)],[163,204]) ).

cnf(212,plain,
    ( s2
    | cI ),
    inference('REWRITE',[status(thm)],[clause_16A,211]) ).

cnf(213,plain,
    ( ~ s2
    | ~ cI ),
    inference('REWRITE',[status(thm)],[clause_16D,211]) ).

cnf(214,plain,
    ~ a12,
    inference('REWRITE',[status(thm)],[162,202]) ).

cnf(215,plain,
    a14,
    inference('REWRITE',[status(thm)],[clause_4A,214]) ).

cnf(216,plain,
    ( ~ a15
    | ~ cI ),
    inference('REWRITE',[status(thm)],[clause_5C,215]) ).

cnf(217,plain,
    ( ~ a16
    | ~ a15 ),
    inference('REWRITE',[status(thm)],[clause_6C,215]) ).

cnf(219,plain,
    ( cI
    | c1
    | c2
    | a16 ),
    inference('HYPERRESOLVE',[status(thm)],[clause_18D,212,72,clause_8A]) ).

cnf(222,plain,
    ( a15
    | s1 ),
    inference('HYPERRESOLVE',[status(thm)],[213,185,clause_5B]) ).

cnf(224,plain,
    ( c1
    | c2
    | a16
    | a22 ),
    inference('HYPERRESOLVE',[status(thm)],[166,219]) ).

cnf(225,plain,
    a15,
    inference('HYPERRESOLVE',[status(thm)],[clause_8C,222,clause_6B,clause_7A]) ).

cnf(226,plain,
    ~ c1,
    inference('REWRITE',[status(thm)],[203,225]) ).

cnf(234,plain,
    ( c2
    | a16
    | a22 ),
    inference('REWRITE',[status(thm)],[224,226]) ).

cnf(235,plain,
    ~ cI,
    inference('REWRITE',[status(thm)],[216,225]) ).

cnf(238,plain,
    ~ a22,
    inference('REWRITE',[status(thm)],[clause_11A,235]) ).

cnf(240,plain,
    ~ c2,
    inference('REWRITE',[status(thm)],[209,238]) ).

cnf(245,plain,
    a16,
    inference('REWRITE',[status(thm)],[234,240,238]) ).

cnf(248,plain,
    $false,
    inference('REWRITE',[status(thm)],[217,245,225]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 21:07:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T21:07:24
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-16T21:07:24
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  #||
% 0.45/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65  % SZS output start Refutation
% See solution above
% 0.45/0.66  ||#
% 0.45/0.66  
% 0.45/0.66  ; Summary of computation:
% 0.45/0.66  ;      2318 formulas have been input or derived (from 211 formulas).
% 0.45/0.66  ;       248 (11%) were retained.  Of these,
% 0.45/0.66  ;          225 (91%) were simplified or subsumed later,
% 0.45/0.66  ;           23 ( 9%) are still being kept.
% 0.45/0.66  ; 
% 0.45/0.66  ; Run time in seconds excluding printing time:
% 0.45/0.66  ;     0.006   3%   Read assertion file          (1 call)
% 0.45/0.66  ;     0.002   1%   Assert                       (61 calls)
% 0.45/0.66  ;     0.019  10%   Process new row              (2,122 calls)
% 0.45/0.66  ;     0.038  20%   Resolution                   (420 calls)
% 0.45/0.66  ;     0.000   0%   Paramodulation               (210 calls)
% 0.45/0.66  ;     0.000   0%   Factoring                    (151 calls)
% 0.45/0.66  ;     0.002   1%   Condensing                   (1,750 calls)
% 0.45/0.66  ;     0.057  30%   Forward subsumption          (1,750 calls)
% 0.45/0.66  ;     0.005   3%   Backward subsumption         (225 calls)
% 0.45/0.66  ;     0.004   2%   Clause clause subsumption    (1,622 calls)
% 0.45/0.66  ;     0.017   9%   Forward simplification       (1,777 calls)
% 0.45/0.66  ;     0.000   0%   Backward simplification      (248 calls)
% 0.45/0.66  ;     0.002   1%   Ordering                     (659 calls)
% 0.45/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.66  ;     0.000   0%   Purity testing               (1 call)
% 0.45/0.66  ;     0.036  19%   Other
% 0.45/0.66  ;     0.188        Total
% 0.45/0.66  ;     0.199        Real time
% 0.45/0.66  ; 
% 0.45/0.66  ; Term-hash-array has 0 terms in all.
% 0.45/0.66  ; Feature-vector-row-index has 0 entries (116 at peak, 225 added, 225 deleted).
% 0.45/0.66  ; Feature-vector-row-index has 1 node (272 at peak, 480 added, 479 deleted).
% 0.45/0.66  ;  Retrieved 20,012 possibly forward subsuming rows in 1,750 calls.
% 0.45/0.66  ;  Retrieved 184 possibly backward subsumed rows in 225 calls.
% 0.45/0.66  ; Path-index has 22 entries (22 at peak, 24 added, 2 deleted).
% 0.45/0.66  ; Path-index has 23 nodes (23 at peak, 25 added, 2 deleted).
% 0.45/0.66  ; Trie-index has 22 entries (22 at peak, 24 added, 2 deleted).
% 0.45/0.66  ; Trie-index has 23 nodes (23 at peak, 25 added, 2 deleted).
% 0.45/0.66  ; Retrieved 22 instance terms in 22 calls.
% 0.45/0.66  ; Retrieved 1,394 unifiable terms in 1,394 calls.
% 0.45/0.66  ; 
% 0.45/0.66  ; The agenda of rows to process has 13 entries:
% 0.45/0.66  ;     1 with value 8               6 with value 10               1 with value 12
% 0.45/0.66  ;     3 with value 9               2 with value 11
% 0.45/0.66  ; The agenda of input rows to give has 8 entries:
% 0.45/0.66  ;     8 with value 1
% 0.45/0.66  ; The agenda of rows to give has 6 entries:
% 0.45/0.66  ;     2 with value (4 2)           1 with value (4 7)            1 with value (4 26)
% 0.45/0.66  ;     1 with value (4 4)           1 with value (4 13)
% 0.45/0.66  Evaluation took:
% 0.45/0.66    0.2 seconds of real time
% 0.45/0.66    0.171135 seconds of user run time
% 0.45/0.66    0.027945 seconds of system run time
% 0.45/0.66    [Run times include 0.004 seconds GC run time.]
% 0.45/0.66    0 calls to %EVAL
% 0.45/0.66    0 page faults and
% 0.45/0.66    17,449,576 bytes consed.
% 0.45/0.66  :PROOF-FOUND
% 0.45/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T21:07:25
% 0.45/0.66  :PROOF-FOUND
% 0.45/0.66  * 
%------------------------------------------------------------------------------