TSTP Solution File: HWV003-3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 : Tue Apr 30 20:21:52 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  194 (   1 unt;   0 def)
%            Number of atoms       :  465 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  472 ( 201   ~; 249   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   45 (  44 usr;  45 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( a11
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( a11
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( ~ a11
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( a12
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ( a12
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ( ~ a12
    | ~ a
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ( a13
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ( a13
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ( ~ a13
    | ~ b
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ( a14
    | a12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ( a14
    | a13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ( ~ a14
    | ~ a12
    | ~ a13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ( a15
    | a14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ( a15
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ( ~ a15
    | ~ a14
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ( a16
    | a14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ( a16
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ( ~ a16
    | ~ a14
    | ~ a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ( a17
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ( a17
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ( ~ a17
    | ~ a15
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ( s1
    | a16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ( s1
    | a17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ( ~ s1
    | ~ a16
    | ~ a17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ( c1
    | a15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ( c1
    | a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ( ~ c1
    | ~ a15
    | ~ a11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ( a21
    | a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ( a21
    | ~ a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ( ~ a21
    | a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ( ~ a21
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ( ~ a22
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ( ~ a22
    | a23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ( a22
    | ~ cI
    | ~ a23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ( a23
    | ~ a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ( a23
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ( ~ a23
    | a
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ( a24
    | cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ( ~ a24
    | ~ cI ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ( ~ a25
    | a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ( ~ a25
    | b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ( a25
    | ~ a
    | ~ b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,negated_conjecture,
    ( ~ a26
    | a24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ( ~ a26
    | a25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ( a26
    | ~ a24
    | ~ a25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ( s2
    | cI
    | ~ a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ( s2
    | ~ cI
    | a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ( ~ s2
    | cI
    | a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ( ~ s2
    | ~ cI
    | ~ a21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ( c2
    | ~ a22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ( c2
    | ~ a26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,negated_conjecture,
    ( ~ c2
    | a22
    | a26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    ( ~ conjline18
    | s1
    | s2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ( ~ conjline18
    | ~ s1
    | ~ s2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ( ~ conjline19
    | c1
    | c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,negated_conjecture,
    ( ~ conjline19
    | ~ c1
    | ~ c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,negated_conjecture,
    ( conjline18
    | conjline19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,plain,
    ( a11
    | a ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f63,plain,
    ( a11
    | b ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f64,plain,
    ( ~ a11
    | ~ a
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f65,plain,
    ( a12
    | a ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f66,plain,
    ( a12
    | a11 ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f67,plain,
    ( ~ a12
    | ~ a
    | ~ a11 ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f68,plain,
    ( a13
    | b ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f69,plain,
    ( a13
    | a11 ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f70,plain,
    ( ~ a13
    | ~ b
    | ~ a11 ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f71,plain,
    ( a14
    | a12 ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f72,plain,
    ( a14
    | a13 ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f73,plain,
    ( ~ a14
    | ~ a12
    | ~ a13 ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f74,plain,
    ( a15
    | a14 ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f75,plain,
    ( a15
    | cI ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f76,plain,
    ( ~ a15
    | ~ a14
    | ~ cI ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f77,plain,
    ( a16
    | a14 ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f78,plain,
    ( a16
    | a15 ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f79,plain,
    ( ~ a16
    | ~ a14
    | ~ a15 ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f80,plain,
    ( a17
    | a15 ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f81,plain,
    ( a17
    | cI ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f82,plain,
    ( ~ a17
    | ~ a15
    | ~ cI ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f83,plain,
    ( s1
    | a16 ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f84,plain,
    ( s1
    | a17 ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f85,plain,
    ( ~ s1
    | ~ a16
    | ~ a17 ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f86,plain,
    ( c1
    | a15 ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f87,plain,
    ( c1
    | a11 ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f88,plain,
    ( ~ c1
    | ~ a15
    | ~ a11 ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f89,plain,
    ( a21
    | a
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f90,plain,
    ( a21
    | ~ a
    | b ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f91,plain,
    ( ~ a21
    | a
    | b ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f92,plain,
    ( ~ a21
    | ~ a
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f93,plain,
    ( ~ a22
    | cI ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f94,plain,
    ( ~ a22
    | a23 ),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f95,plain,
    ( a22
    | ~ cI
    | ~ a23 ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f96,plain,
    ( a23
    | ~ a ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f97,plain,
    ( a23
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f98,plain,
    ( ~ a23
    | a
    | b ),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f99,plain,
    ( a24
    | cI ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f100,plain,
    ( ~ a24
    | ~ cI ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f101,plain,
    ( ~ a25
    | a ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f102,plain,
    ( ~ a25
    | b ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f103,plain,
    ( a25
    | ~ a
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f42]) ).

fof(f104,plain,
    ( ~ a26
    | a24 ),
    inference(cnf_transformation,[status(esa)],[f43]) ).

fof(f105,plain,
    ( ~ a26
    | a25 ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f106,plain,
    ( a26
    | ~ a24
    | ~ a25 ),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f107,plain,
    ( s2
    | cI
    | ~ a21 ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f108,plain,
    ( s2
    | ~ cI
    | a21 ),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f109,plain,
    ( ~ s2
    | cI
    | a21 ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f110,plain,
    ( ~ s2
    | ~ cI
    | ~ a21 ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f111,plain,
    ( c2
    | ~ a22 ),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f112,plain,
    ( c2
    | ~ a26 ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f113,plain,
    ( ~ c2
    | a22
    | a26 ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f116,plain,
    ( ~ conjline18
    | s1
    | s2 ),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f117,plain,
    ( ~ conjline18
    | ~ s1
    | ~ s2 ),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f120,plain,
    ( ~ conjline19
    | c1
    | c2 ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f121,plain,
    ( ~ conjline19
    | ~ c1
    | ~ c2 ),
    inference(cnf_transformation,[status(esa)],[f60]) ).

fof(f122,plain,
    ( conjline18
    | conjline19 ),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f123,plain,
    ( spl0_0
  <=> a11 ),
    introduced(split_symbol_definition) ).

fof(f126,plain,
    ( spl0_1
  <=> a ),
    introduced(split_symbol_definition) ).

fof(f129,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f62,f123,f126]) ).

fof(f130,plain,
    ( spl0_2
  <=> b ),
    introduced(split_symbol_definition) ).

fof(f133,plain,
    ( spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f63,f123,f130]) ).

fof(f134,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f64,f123,f126,f130]) ).

fof(f135,plain,
    ( spl0_3
  <=> a12 ),
    introduced(split_symbol_definition) ).

fof(f138,plain,
    ( spl0_3
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f65,f135,f126]) ).

fof(f139,plain,
    ( spl0_3
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f66,f135,f123]) ).

fof(f140,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f67,f135,f126,f123]) ).

fof(f141,plain,
    ( spl0_4
  <=> a13 ),
    introduced(split_symbol_definition) ).

fof(f144,plain,
    ( spl0_4
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f68,f141,f130]) ).

fof(f145,plain,
    ( spl0_4
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f69,f141,f123]) ).

fof(f146,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f70,f141,f130,f123]) ).

fof(f147,plain,
    ( spl0_5
  <=> a14 ),
    introduced(split_symbol_definition) ).

fof(f150,plain,
    ( spl0_5
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f71,f147,f135]) ).

fof(f151,plain,
    ( spl0_5
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f72,f147,f141]) ).

fof(f152,plain,
    ( ~ spl0_5
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f73,f147,f135,f141]) ).

fof(f153,plain,
    ( spl0_6
  <=> a15 ),
    introduced(split_symbol_definition) ).

fof(f156,plain,
    ( spl0_6
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f74,f153,f147]) ).

fof(f157,plain,
    ( spl0_7
  <=> cI ),
    introduced(split_symbol_definition) ).

fof(f160,plain,
    ( spl0_6
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f75,f153,f157]) ).

fof(f161,plain,
    ( ~ spl0_6
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f76,f153,f147,f157]) ).

fof(f162,plain,
    ( spl0_8
  <=> a16 ),
    introduced(split_symbol_definition) ).

fof(f165,plain,
    ( spl0_8
    | spl0_5 ),
    inference(split_clause,[status(thm)],[f77,f162,f147]) ).

fof(f166,plain,
    ( spl0_8
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f78,f162,f153]) ).

fof(f167,plain,
    ( ~ spl0_8
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f79,f162,f147,f153]) ).

fof(f168,plain,
    ( spl0_9
  <=> a17 ),
    introduced(split_symbol_definition) ).

fof(f171,plain,
    ( spl0_9
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f80,f168,f153]) ).

fof(f172,plain,
    ( spl0_9
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f81,f168,f157]) ).

fof(f173,plain,
    ( ~ spl0_9
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f82,f168,f153,f157]) ).

fof(f174,plain,
    ( spl0_10
  <=> s1 ),
    introduced(split_symbol_definition) ).

fof(f177,plain,
    ( spl0_10
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f83,f174,f162]) ).

fof(f178,plain,
    ( spl0_10
    | spl0_9 ),
    inference(split_clause,[status(thm)],[f84,f174,f168]) ).

fof(f179,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f85,f174,f162,f168]) ).

fof(f180,plain,
    ( spl0_11
  <=> c1 ),
    introduced(split_symbol_definition) ).

fof(f183,plain,
    ( spl0_11
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f86,f180,f153]) ).

fof(f184,plain,
    ( spl0_11
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f87,f180,f123]) ).

fof(f185,plain,
    ( ~ spl0_11
    | ~ spl0_6
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f88,f180,f153,f123]) ).

fof(f186,plain,
    ( spl0_12
  <=> a21 ),
    introduced(split_symbol_definition) ).

fof(f189,plain,
    ( spl0_12
    | spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f89,f186,f126,f130]) ).

fof(f190,plain,
    ( spl0_12
    | ~ spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f90,f186,f126,f130]) ).

fof(f191,plain,
    ( ~ spl0_12
    | spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f91,f186,f126,f130]) ).

fof(f192,plain,
    ( ~ spl0_12
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f92,f186,f126,f130]) ).

fof(f193,plain,
    ( spl0_13
  <=> a22 ),
    introduced(split_symbol_definition) ).

fof(f196,plain,
    ( ~ spl0_13
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f93,f193,f157]) ).

fof(f197,plain,
    ( spl0_14
  <=> a23 ),
    introduced(split_symbol_definition) ).

fof(f200,plain,
    ( ~ spl0_13
    | spl0_14 ),
    inference(split_clause,[status(thm)],[f94,f193,f197]) ).

fof(f201,plain,
    ( spl0_13
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f95,f193,f157,f197]) ).

fof(f202,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f96,f197,f126]) ).

fof(f203,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f97,f197,f130]) ).

fof(f204,plain,
    ( ~ spl0_14
    | spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f98,f197,f126,f130]) ).

fof(f205,plain,
    ( spl0_15
  <=> a24 ),
    introduced(split_symbol_definition) ).

fof(f208,plain,
    ( spl0_15
    | spl0_7 ),
    inference(split_clause,[status(thm)],[f99,f205,f157]) ).

fof(f209,plain,
    ( ~ spl0_15
    | ~ spl0_7 ),
    inference(split_clause,[status(thm)],[f100,f205,f157]) ).

fof(f210,plain,
    ( spl0_16
  <=> a25 ),
    introduced(split_symbol_definition) ).

fof(f213,plain,
    ( ~ spl0_16
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f101,f210,f126]) ).

fof(f214,plain,
    ( ~ spl0_16
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f102,f210,f130]) ).

fof(f215,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f103,f210,f126,f130]) ).

fof(f216,plain,
    ( spl0_17
  <=> a26 ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( ~ spl0_17
    | spl0_15 ),
    inference(split_clause,[status(thm)],[f104,f216,f205]) ).

fof(f220,plain,
    ( ~ spl0_17
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f105,f216,f210]) ).

fof(f221,plain,
    ( spl0_17
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(split_clause,[status(thm)],[f106,f216,f205,f210]) ).

fof(f222,plain,
    ( spl0_18
  <=> s2 ),
    introduced(split_symbol_definition) ).

fof(f225,plain,
    ( spl0_18
    | spl0_7
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f107,f222,f157,f186]) ).

fof(f226,plain,
    ( spl0_18
    | ~ spl0_7
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f108,f222,f157,f186]) ).

fof(f227,plain,
    ( ~ spl0_18
    | spl0_7
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f109,f222,f157,f186]) ).

fof(f228,plain,
    ( ~ spl0_18
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(split_clause,[status(thm)],[f110,f222,f157,f186]) ).

fof(f229,plain,
    ( spl0_19
  <=> c2 ),
    introduced(split_symbol_definition) ).

fof(f232,plain,
    ( spl0_19
    | ~ spl0_13 ),
    inference(split_clause,[status(thm)],[f111,f229,f193]) ).

fof(f233,plain,
    ( spl0_19
    | ~ spl0_17 ),
    inference(split_clause,[status(thm)],[f112,f229,f216]) ).

fof(f234,plain,
    ( ~ spl0_19
    | spl0_13
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f113,f229,f193,f216]) ).

fof(f235,plain,
    ( spl0_20
  <=> conjline18 ),
    introduced(split_symbol_definition) ).

fof(f240,plain,
    ( ~ spl0_20
    | spl0_10
    | spl0_18 ),
    inference(split_clause,[status(thm)],[f116,f235,f174,f222]) ).

fof(f241,plain,
    ( ~ spl0_20
    | ~ spl0_10
    | ~ spl0_18 ),
    inference(split_clause,[status(thm)],[f117,f235,f174,f222]) ).

fof(f242,plain,
    ( spl0_21
  <=> conjline19 ),
    introduced(split_symbol_definition) ).

fof(f247,plain,
    ( ~ spl0_21
    | spl0_11
    | spl0_19 ),
    inference(split_clause,[status(thm)],[f120,f242,f180,f229]) ).

fof(f248,plain,
    ( ~ spl0_21
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(split_clause,[status(thm)],[f121,f242,f180,f229]) ).

fof(f249,plain,
    ( spl0_20
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f122,f235,f242]) ).

fof(f250,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f129,f133,f134,f138,f139,f140,f144,f145,f146,f150,f151,f152,f156,f160,f161,f165,f166,f167,f171,f172,f173,f177,f178,f179,f183,f184,f185,f189,f190,f191,f192,f196,f200,f201,f202,f203,f204,f208,f209,f213,f214,f215,f219,f220,f221,f225,f226,f227,f228,f232,f233,f234,f240,f241,f247,f248,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : HWV003-3 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Apr 30 01:27:17 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.016049 seconds
% 0.14/0.38  % CPU time: 0.019393 seconds
% 0.14/0.38  % Total memory used: 1.512 MB
% 0.14/0.38  % Net memory used: 1.487 MB
%------------------------------------------------------------------------------