TSTP Solution File: HWV003-3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 18:29:32 EDT 2022
% Result : Unsatisfiable 0.22s 0.48s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 56
% Syntax : Number of clauses : 217 ( 8 unt; 163 nHn; 217 RR)
% Number of literals : 709 ( 0 equ; 165 neg)
% Maximal clause size : 7 ( 3 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 ) ).
cnf(clause_1B,negated_conjecture,
( a11
| b ) ).
cnf(clause_1C,negated_conjecture,
( ~ a11
| ~ a
| ~ b ) ).
cnf(clause_2A,negated_conjecture,
( a12
| a ) ).
cnf(clause_2B,negated_conjecture,
( a12
| a11 ) ).
cnf(clause_2C,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ) ).
cnf(clause_3A,negated_conjecture,
( a13
| b ) ).
cnf(clause_3B,negated_conjecture,
( a13
| a11 ) ).
cnf(clause_3C,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ) ).
cnf(clause_4A,negated_conjecture,
( a14
| a12 ) ).
cnf(clause_4B,negated_conjecture,
( a14
| a13 ) ).
cnf(clause_4C,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ) ).
cnf(clause_5A,negated_conjecture,
( a15
| a14 ) ).
cnf(clause_5B,negated_conjecture,
( a15
| cI ) ).
cnf(clause_5C,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ) ).
cnf(clause_6A,negated_conjecture,
( a16
| a14 ) ).
cnf(clause_6B,negated_conjecture,
( a16
| a15 ) ).
cnf(clause_6C,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ) ).
cnf(clause_7A,negated_conjecture,
( a17
| a15 ) ).
cnf(clause_7B,negated_conjecture,
( a17
| cI ) ).
cnf(clause_7C,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ) ).
cnf(clause_8A,negated_conjecture,
( s1
| a16 ) ).
cnf(clause_8B,negated_conjecture,
( s1
| a17 ) ).
cnf(clause_8C,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ) ).
cnf(clause_9A,negated_conjecture,
( c1
| a15 ) ).
cnf(clause_9B,negated_conjecture,
( c1
| a11 ) ).
cnf(clause_9C,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ) ).
cnf(clause_10A,negated_conjecture,
( a21
| a
| ~ b ) ).
cnf(clause_10B,negated_conjecture,
( a21
| ~ a
| b ) ).
cnf(clause_10C,negated_conjecture,
( ~ a21
| a
| b ) ).
cnf(clause_10D,negated_conjecture,
( ~ a21
| ~ a
| ~ b ) ).
cnf(clause_11A,negated_conjecture,
( ~ a22
| cI ) ).
cnf(clause_11B,negated_conjecture,
( ~ a22
| a23 ) ).
cnf(clause_11C,negated_conjecture,
( a22
| ~ cI
| ~ a23 ) ).
cnf(clause_12A,negated_conjecture,
( a23
| ~ a ) ).
cnf(clause_12B,negated_conjecture,
( a23
| ~ b ) ).
cnf(clause_12C,negated_conjecture,
( ~ a23
| a
| b ) ).
cnf(clause_13A,negated_conjecture,
( a24
| cI ) ).
cnf(clause_13B,negated_conjecture,
( ~ a24
| ~ cI ) ).
cnf(clause_14A,negated_conjecture,
( ~ a25
| a ) ).
cnf(clause_14B,negated_conjecture,
( ~ a25
| b ) ).
cnf(clause_14C,negated_conjecture,
( a25
| ~ a
| ~ b ) ).
cnf(clause_15B,negated_conjecture,
( ~ a26
| a25 ) ).
cnf(clause_15C,negated_conjecture,
( a26
| ~ a24
| ~ a25 ) ).
cnf(clause_16A,negated_conjecture,
( s2
| cI
| ~ a21 ) ).
cnf(clause_16B,negated_conjecture,
( s2
| ~ cI
| a21 ) ).
cnf(clause_16C,negated_conjecture,
( ~ s2
| cI
| a21 ) ).
cnf(clause_16D,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ) ).
cnf(clause_17A,negated_conjecture,
( c2
| ~ a22 ) ).
cnf(clause_17B,negated_conjecture,
( c2
| ~ a26 ) ).
cnf(clause_17C,negated_conjecture,
( ~ c2
| a22
| a26 ) ).
cnf(clause_18C,negated_conjecture,
( ~ conjline18
| s1
| s2 ) ).
cnf(clause_18D,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ) ).
cnf(clause_19C,negated_conjecture,
( ~ conjline19
| c1
| c2 ) ).
cnf(clause_19D,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ) ).
cnf(clause_20,negated_conjecture,
( conjline18
| conjline19 ) ).
cnf(refute_0_0,plain,
( ~ a24
| a17 ),
inference(resolve,[$cnf( cI )],[clause_7B,clause_13B]) ).
cnf(refute_0_1,plain,
( ~ a14
| ~ a15
| a24 ),
inference(resolve,[$cnf( cI )],[clause_13A,clause_5C]) ).
cnf(refute_0_2,plain,
( ~ c1
| ~ c2
| conjline18 ),
inference(resolve,[$cnf( conjline19 )],[clause_20,clause_19D]) ).
cnf(refute_0_3,plain,
( ~ a23
| a15
| a22 ),
inference(resolve,[$cnf( cI )],[clause_5B,clause_11C]) ).
cnf(refute_0_4,plain,
( a
| a13
| a21 ),
inference(resolve,[$cnf( b )],[clause_3A,clause_10A]) ).
cnf(refute_0_5,plain,
( a13
| a23 ),
inference(resolve,[$cnf( b )],[clause_3A,clause_12B]) ).
cnf(refute_0_6,plain,
( a13
| a15
| a22 ),
inference(resolve,[$cnf( a23 )],[refute_0_5,refute_0_3]) ).
cnf(refute_0_7,plain,
( a13
| a15
| c2 ),
inference(resolve,[$cnf( a22 )],[refute_0_6,clause_17A]) ).
cnf(refute_0_8,plain,
( ~ c1
| a13
| a15
| conjline18 ),
inference(resolve,[$cnf( c2 )],[refute_0_7,refute_0_2]) ).
cnf(refute_0_9,plain,
( a13
| a15
| conjline18 ),
inference(resolve,[$cnf( c1 )],[clause_9A,refute_0_8]) ).
cnf(refute_0_10,plain,
( a13
| a15
| s1
| s2 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_9,clause_18C]) ).
cnf(refute_0_11,plain,
( ~ a21
| ~ cI
| a13
| a15
| s1 ),
inference(resolve,[$cnf( s2 )],[refute_0_10,clause_16D]) ).
cnf(refute_0_12,plain,
( ~ a21
| a13
| a15
| s1 ),
inference(resolve,[$cnf( cI )],[clause_5B,refute_0_11]) ).
cnf(refute_0_13,plain,
( a
| a13
| a15
| s1 ),
inference(resolve,[$cnf( a21 )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ a16
| ~ a17
| a
| a13
| a15 ),
inference(resolve,[$cnf( s1 )],[refute_0_13,clause_8C]) ).
cnf(refute_0_15,plain,
( ~ a16
| a
| a13
| a15 ),
inference(resolve,[$cnf( a17 )],[clause_7A,refute_0_14]) ).
cnf(refute_0_16,plain,
( a
| a13
| a15 ),
inference(resolve,[$cnf( a16 )],[clause_6B,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ a14
| a
| a13
| a24 ),
inference(resolve,[$cnf( a15 )],[refute_0_16,refute_0_1]) ).
cnf(refute_0_18,plain,
( a
| a13
| a24 ),
inference(resolve,[$cnf( a14 )],[clause_4B,refute_0_17]) ).
cnf(refute_0_19,plain,
( c1
| c2
| conjline18 ),
inference(resolve,[$cnf( conjline19 )],[clause_20,clause_19C]) ).
cnf(refute_0_20,plain,
( a
| a13
| cI
| s2 ),
inference(resolve,[$cnf( a21 )],[refute_0_4,clause_16A]) ).
cnf(refute_0_21,plain,
( ~ conjline18
| ~ s1
| a
| a13
| cI ),
inference(resolve,[$cnf( s2 )],[refute_0_20,clause_18D]) ).
cnf(refute_0_22,plain,
( ~ conjline18
| a
| a13
| a16
| cI ),
inference(resolve,[$cnf( s1 )],[clause_8A,refute_0_21]) ).
cnf(refute_0_23,plain,
( a
| a13
| a16
| c1
| c2
| cI ),
inference(resolve,[$cnf( conjline18 )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ a24
| a
| a13
| a16
| c1
| c2 ),
inference(resolve,[$cnf( cI )],[refute_0_23,clause_13B]) ).
cnf(refute_0_25,plain,
( a
| a13
| a16
| c1
| c2 ),
inference(resolve,[$cnf( a24 )],[refute_0_18,refute_0_24]) ).
cnf(refute_0_26,plain,
( a
| a13
| a16
| a22
| a26
| c1 ),
inference(resolve,[$cnf( c2 )],[refute_0_25,clause_17C]) ).
cnf(refute_0_27,plain,
( ~ a11
| ~ a15
| a
| a13
| a16
| a22
| a26 ),
inference(resolve,[$cnf( c1 )],[refute_0_26,clause_9C]) ).
cnf(refute_0_28,plain,
( ~ a11
| a
| a13
| a16
| a22
| a26 ),
inference(resolve,[$cnf( a15 )],[refute_0_16,refute_0_27]) ).
cnf(refute_0_29,plain,
( a
| a13
| a16
| a22
| a26 ),
inference(resolve,[$cnf( a11 )],[clause_1A,refute_0_28]) ).
cnf(refute_0_30,plain,
( a
| a13
| a16
| a22
| a25 ),
inference(resolve,[$cnf( a26 )],[refute_0_29,clause_15B]) ).
cnf(refute_0_31,plain,
( a
| a13
| a16
| a22 ),
inference(resolve,[$cnf( a25 )],[refute_0_30,clause_14A]) ).
cnf(refute_0_32,plain,
( a
| a13
| a16
| cI ),
inference(resolve,[$cnf( a22 )],[refute_0_31,clause_11A]) ).
cnf(refute_0_33,plain,
( ~ a24
| a
| a13
| a16 ),
inference(resolve,[$cnf( cI )],[refute_0_32,clause_13B]) ).
cnf(refute_0_34,plain,
( a
| a13
| a16 ),
inference(resolve,[$cnf( a24 )],[refute_0_18,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ a14
| ~ a15
| a
| a13 ),
inference(resolve,[$cnf( a16 )],[refute_0_34,clause_6C]) ).
cnf(refute_0_36,plain,
( ~ a14
| a
| a13 ),
inference(resolve,[$cnf( a15 )],[refute_0_16,refute_0_35]) ).
cnf(refute_0_37,plain,
( a
| a13 ),
inference(resolve,[$cnf( a14 )],[clause_4B,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ a15
| ~ a17
| a24 ),
inference(resolve,[$cnf( cI )],[clause_13A,clause_7C]) ).
cnf(refute_0_39,plain,
( a17
| a21
| s2 ),
inference(resolve,[$cnf( cI )],[clause_7B,clause_16B]) ).
cnf(refute_0_40,plain,
( ~ conjline18
| ~ s1
| a17
| a21 ),
inference(resolve,[$cnf( s2 )],[refute_0_39,clause_18D]) ).
cnf(refute_0_41,plain,
( ~ conjline18
| a17
| a21 ),
inference(resolve,[$cnf( s1 )],[clause_8B,refute_0_40]) ).
cnf(refute_0_42,plain,
( a17
| a21
| c1
| c2 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_19,refute_0_41]) ).
cnf(refute_0_43,plain,
( a17
| a21
| a22
| a26
| c1 ),
inference(resolve,[$cnf( c2 )],[refute_0_42,clause_17C]) ).
cnf(refute_0_44,plain,
( ~ a11
| ~ a15
| a17
| a21
| a22
| a26 ),
inference(resolve,[$cnf( c1 )],[refute_0_43,clause_9C]) ).
cnf(refute_0_45,plain,
( ~ a11
| a14
| a17
| a21
| a22
| a26 ),
inference(resolve,[$cnf( a15 )],[clause_5A,refute_0_44]) ).
cnf(refute_0_46,plain,
( a
| a14
| a17
| a21
| a22
| a26 ),
inference(resolve,[$cnf( a11 )],[clause_1A,refute_0_45]) ).
cnf(refute_0_47,plain,
( a
| a14
| a17
| a21
| a22
| a25 ),
inference(resolve,[$cnf( a26 )],[refute_0_46,clause_15B]) ).
cnf(refute_0_48,plain,
( a
| a14
| a17
| a21
| a22 ),
inference(resolve,[$cnf( a25 )],[refute_0_47,clause_14A]) ).
cnf(refute_0_49,plain,
( a
| a14
| a17
| a21
| a23 ),
inference(resolve,[$cnf( a22 )],[refute_0_48,clause_11B]) ).
cnf(refute_0_50,plain,
( a
| a14
| a17
| a21
| b ),
inference(resolve,[$cnf( a23 )],[refute_0_49,clause_12C]) ).
cnf(refute_0_51,plain,
( a
| a14
| a17
| a21 ),
inference(resolve,[$cnf( b )],[refute_0_50,clause_10A]) ).
cnf(refute_0_52,plain,
( a
| a14
| a17
| b ),
inference(resolve,[$cnf( a21 )],[refute_0_51,clause_10C]) ).
cnf(refute_0_53,plain,
( ~ a11
| ~ a13
| a
| a14
| a17 ),
inference(resolve,[$cnf( b )],[refute_0_52,clause_3C]) ).
cnf(refute_0_54,plain,
( ~ a11
| a
| a14
| a17 ),
inference(resolve,[$cnf( a13 )],[refute_0_37,refute_0_53]) ).
cnf(refute_0_55,plain,
( a
| a14
| a17 ),
inference(resolve,[$cnf( a11 )],[clause_1A,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ a15
| a
| a14
| a24 ),
inference(resolve,[$cnf( a17 )],[refute_0_55,refute_0_38]) ).
cnf(refute_0_57,plain,
( a
| a14
| a24 ),
inference(resolve,[$cnf( a15 )],[clause_5A,refute_0_56]) ).
cnf(refute_0_58,plain,
( c1
| c2
| s1
| s2 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_19,clause_18C]) ).
cnf(refute_0_59,plain,
( a21
| c1
| c2
| cI
| s1 ),
inference(resolve,[$cnf( s2 )],[refute_0_58,clause_16C]) ).
cnf(refute_0_60,plain,
( ~ a16
| ~ a17
| a21
| c1
| c2
| cI ),
inference(resolve,[$cnf( s1 )],[refute_0_59,clause_8C]) ).
cnf(refute_0_61,plain,
( ~ a16
| a
| a14
| a21
| c1
| c2
| cI ),
inference(resolve,[$cnf( a17 )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
( a
| a14
| a21
| c1
| c2
| cI ),
inference(resolve,[$cnf( a16 )],[clause_6A,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ a24
| a
| a14
| a21
| c1
| c2 ),
inference(resolve,[$cnf( cI )],[refute_0_62,clause_13B]) ).
cnf(refute_0_64,plain,
( a
| a14
| a21
| c1
| c2 ),
inference(resolve,[$cnf( a24 )],[refute_0_57,refute_0_63]) ).
cnf(refute_0_65,plain,
( a
| a14
| a21
| a22
| a26
| c1 ),
inference(resolve,[$cnf( c2 )],[refute_0_64,clause_17C]) ).
cnf(refute_0_66,plain,
( ~ a11
| ~ a15
| a
| a14
| a21
| a22
| a26 ),
inference(resolve,[$cnf( c1 )],[refute_0_65,clause_9C]) ).
cnf(refute_0_67,plain,
( ~ a11
| a
| a14
| a21
| a22
| a26 ),
inference(resolve,[$cnf( a15 )],[clause_5A,refute_0_66]) ).
cnf(refute_0_68,plain,
( a
| a14
| a21
| a22
| a26 ),
inference(resolve,[$cnf( a11 )],[clause_1A,refute_0_67]) ).
cnf(refute_0_69,plain,
( a
| a14
| a21
| a22
| a25 ),
inference(resolve,[$cnf( a26 )],[refute_0_68,clause_15B]) ).
cnf(refute_0_70,plain,
( a
| a14
| a21
| a22 ),
inference(resolve,[$cnf( a25 )],[refute_0_69,clause_14A]) ).
cnf(refute_0_71,plain,
( a
| a14
| a21
| a23 ),
inference(resolve,[$cnf( a22 )],[refute_0_70,clause_11B]) ).
cnf(refute_0_72,plain,
( a
| a14
| a21
| b ),
inference(resolve,[$cnf( a23 )],[refute_0_71,clause_12C]) ).
cnf(refute_0_73,plain,
( a
| a14
| a21 ),
inference(resolve,[$cnf( b )],[refute_0_72,clause_10A]) ).
cnf(refute_0_74,plain,
( a
| a14
| b ),
inference(resolve,[$cnf( a21 )],[refute_0_73,clause_10C]) ).
cnf(refute_0_75,plain,
( ~ a11
| ~ a13
| a
| a14 ),
inference(resolve,[$cnf( b )],[refute_0_74,clause_3C]) ).
cnf(refute_0_76,plain,
( ~ a11
| a
| a14 ),
inference(resolve,[$cnf( a13 )],[refute_0_37,refute_0_75]) ).
cnf(refute_0_77,plain,
( a
| a14 ),
inference(resolve,[$cnf( a11 )],[clause_1A,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ a12
| ~ a13
| a ),
inference(resolve,[$cnf( a14 )],[refute_0_77,clause_4C]) ).
cnf(refute_0_79,plain,
( ~ a12
| a ),
inference(resolve,[$cnf( a13 )],[refute_0_37,refute_0_78]) ).
cnf(refute_0_80,plain,
a,
inference(resolve,[$cnf( a12 )],[clause_2A,refute_0_79]) ).
cnf(refute_0_81,plain,
a23,
inference(resolve,[$cnf( a )],[refute_0_80,clause_12A]) ).
cnf(refute_0_82,plain,
( a15
| a22 ),
inference(resolve,[$cnf( a23 )],[refute_0_81,refute_0_3]) ).
cnf(refute_0_83,plain,
( a15
| c2 ),
inference(resolve,[$cnf( a22 )],[refute_0_82,clause_17A]) ).
cnf(refute_0_84,plain,
( ~ c1
| a15
| conjline18 ),
inference(resolve,[$cnf( c2 )],[refute_0_83,refute_0_2]) ).
cnf(refute_0_85,plain,
( a15
| conjline18 ),
inference(resolve,[$cnf( c1 )],[clause_9A,refute_0_84]) ).
cnf(refute_0_86,plain,
( a15
| s1
| s2 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_85,clause_18C]) ).
cnf(refute_0_87,plain,
( ~ a21
| ~ cI
| a15
| s1 ),
inference(resolve,[$cnf( s2 )],[refute_0_86,clause_16D]) ).
cnf(refute_0_88,plain,
( ~ a21
| a15
| s1 ),
inference(resolve,[$cnf( cI )],[clause_5B,refute_0_87]) ).
cnf(refute_0_89,plain,
( a21
| b ),
inference(resolve,[$cnf( a )],[refute_0_80,clause_10B]) ).
cnf(refute_0_90,plain,
( ~ a
| ~ a11
| a21 ),
inference(resolve,[$cnf( b )],[refute_0_89,clause_1C]) ).
cnf(refute_0_91,plain,
( ~ a11
| a21 ),
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ a
| ~ a21
| a11 ),
inference(resolve,[$cnf( b )],[clause_1B,clause_10D]) ).
cnf(refute_0_93,plain,
( a11
| a23 ),
inference(resolve,[$cnf( b )],[clause_1B,clause_12B]) ).
cnf(refute_0_94,plain,
( ~ a23
| a17
| a22 ),
inference(resolve,[$cnf( cI )],[clause_7B,clause_11C]) ).
cnf(refute_0_95,plain,
( a11
| a17
| a22 ),
inference(resolve,[$cnf( a23 )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( a11
| a17
| c2 ),
inference(resolve,[$cnf( a22 )],[refute_0_95,clause_17A]) ).
cnf(refute_0_97,plain,
( ~ c1
| a11
| a17
| conjline18 ),
inference(resolve,[$cnf( c2 )],[refute_0_96,refute_0_2]) ).
cnf(refute_0_98,plain,
( a11
| a17
| conjline18 ),
inference(resolve,[$cnf( c1 )],[clause_9B,refute_0_97]) ).
cnf(refute_0_99,plain,
( a11
| a17
| a21 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_98,refute_0_41]) ).
cnf(refute_0_100,plain,
( ~ a
| a11
| a17 ),
inference(resolve,[$cnf( a21 )],[refute_0_99,refute_0_92]) ).
cnf(refute_0_101,plain,
( a11
| a17 ),
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ a15
| a11
| a24 ),
inference(resolve,[$cnf( a17 )],[refute_0_101,refute_0_38]) ).
cnf(refute_0_103,plain,
( a11
| a14
| a24 ),
inference(resolve,[$cnf( a15 )],[clause_5A,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ a23
| a22
| a24 ),
inference(resolve,[$cnf( cI )],[clause_13A,clause_11C]) ).
cnf(refute_0_105,plain,
( a22
| a24 ),
inference(resolve,[$cnf( a23 )],[refute_0_81,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ a
| a11
| a25 ),
inference(resolve,[$cnf( b )],[clause_1B,clause_14C]) ).
cnf(refute_0_107,plain,
( a11
| a25 ),
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_106]) ).
cnf(refute_0_108,plain,
( ~ a24
| a11
| a26 ),
inference(resolve,[$cnf( a25 )],[refute_0_107,clause_15C]) ).
cnf(refute_0_109,plain,
( a11
| a22
| a26 ),
inference(resolve,[$cnf( a24 )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( a11
| a22
| c2 ),
inference(resolve,[$cnf( a26 )],[refute_0_109,clause_17B]) ).
cnf(refute_0_111,plain,
( ~ c1
| a11
| a22
| conjline18 ),
inference(resolve,[$cnf( c2 )],[refute_0_110,refute_0_2]) ).
cnf(refute_0_112,plain,
( a11
| a22
| conjline18 ),
inference(resolve,[$cnf( c1 )],[clause_9B,refute_0_111]) ).
cnf(refute_0_113,plain,
( a11
| a22
| s1
| s2 ),
inference(resolve,[$cnf( conjline18 )],[refute_0_112,clause_18C]) ).
cnf(refute_0_114,plain,
( a11
| a21
| a22
| cI
| s1 ),
inference(resolve,[$cnf( s2 )],[refute_0_113,clause_16C]) ).
cnf(refute_0_115,plain,
( ~ a16
| ~ a17
| a11
| a21
| a22
| cI ),
inference(resolve,[$cnf( s1 )],[refute_0_114,clause_8C]) ).
cnf(refute_0_116,plain,
( ~ a16
| a11
| a21
| a22
| cI ),
inference(resolve,[$cnf( a17 )],[refute_0_101,refute_0_115]) ).
cnf(refute_0_117,plain,
( a11
| a14
| a21
| a22
| cI ),
inference(resolve,[$cnf( a16 )],[clause_6A,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ a23
| a11
| a14
| a21
| a22 ),
inference(resolve,[$cnf( cI )],[refute_0_117,clause_11C]) ).
cnf(refute_0_119,plain,
( a11
| a14
| a21
| a22 ),
inference(resolve,[$cnf( a23 )],[refute_0_81,refute_0_118]) ).
cnf(refute_0_120,plain,
( a11
| a14
| a21
| cI ),
inference(resolve,[$cnf( a22 )],[refute_0_119,clause_11A]) ).
cnf(refute_0_121,plain,
( ~ a24
| a11
| a14
| a21 ),
inference(resolve,[$cnf( cI )],[refute_0_120,clause_13B]) ).
cnf(refute_0_122,plain,
( a11
| a14
| a21 ),
inference(resolve,[$cnf( a24 )],[refute_0_103,refute_0_121]) ).
cnf(refute_0_123,plain,
( ~ a
| a11
| a14 ),
inference(resolve,[$cnf( a21 )],[refute_0_122,refute_0_92]) ).
cnf(refute_0_124,plain,
( a11
| a14 ),
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_123]) ).
cnf(refute_0_125,plain,
( ~ a12
| ~ a13
| a11 ),
inference(resolve,[$cnf( a14 )],[refute_0_124,clause_4C]) ).
cnf(refute_0_126,plain,
( ~ a12
| a11 ),
inference(resolve,[$cnf( a13 )],[clause_3B,refute_0_125]) ).
cnf(refute_0_127,plain,
a11,
inference(resolve,[$cnf( a12 )],[clause_2B,refute_0_126]) ).
cnf(refute_0_128,plain,
a21,
inference(resolve,[$cnf( a11 )],[refute_0_127,refute_0_91]) ).
cnf(refute_0_129,plain,
( a15
| s1 ),
inference(resolve,[$cnf( a21 )],[refute_0_128,refute_0_88]) ).
cnf(refute_0_130,plain,
( ~ a16
| ~ a17
| a15 ),
inference(resolve,[$cnf( s1 )],[refute_0_129,clause_8C]) ).
cnf(refute_0_131,plain,
( ~ a16
| a15 ),
inference(resolve,[$cnf( a17 )],[clause_7A,refute_0_130]) ).
cnf(refute_0_132,plain,
a15,
inference(resolve,[$cnf( a16 )],[clause_6B,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ a14
| a24 ),
inference(resolve,[$cnf( a15 )],[refute_0_132,refute_0_1]) ).
cnf(refute_0_134,plain,
( a12
| a24 ),
inference(resolve,[$cnf( a14 )],[clause_4A,refute_0_133]) ).
cnf(refute_0_135,plain,
( a12
| a17 ),
inference(resolve,[$cnf( a24 )],[refute_0_134,refute_0_0]) ).
cnf(refute_0_136,plain,
( cI
| s2 ),
inference(resolve,[$cnf( a21 )],[refute_0_128,clause_16A]) ).
cnf(refute_0_137,plain,
( ~ conjline18
| ~ s1
| cI ),
inference(resolve,[$cnf( s2 )],[refute_0_136,clause_18D]) ).
cnf(refute_0_138,plain,
( ~ conjline18
| a16
| cI ),
inference(resolve,[$cnf( s1 )],[clause_8A,refute_0_137]) ).
cnf(refute_0_139,plain,
( a16
| c1
| c2
| cI ),
inference(resolve,[$cnf( conjline18 )],[refute_0_19,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ a23
| a16
| a22
| c1
| c2 ),
inference(resolve,[$cnf( cI )],[refute_0_139,clause_11C]) ).
cnf(refute_0_141,plain,
( a16
| a22
| c1
| c2 ),
inference(resolve,[$cnf( a23 )],[refute_0_81,refute_0_140]) ).
cnf(refute_0_142,plain,
( a16
| a22
| a26
| c1 ),
inference(resolve,[$cnf( c2 )],[refute_0_141,clause_17C]) ).
cnf(refute_0_143,plain,
( ~ a11
| ~ a15
| a16
| a22
| a26 ),
inference(resolve,[$cnf( c1 )],[refute_0_142,clause_9C]) ).
cnf(refute_0_144,plain,
( ~ a15
| a16
| a22
| a26 ),
inference(resolve,[$cnf( a11 )],[refute_0_127,refute_0_143]) ).
cnf(refute_0_145,plain,
( a16
| a22
| a26 ),
inference(resolve,[$cnf( a15 )],[refute_0_132,refute_0_144]) ).
cnf(refute_0_146,plain,
( a16
| a22
| a25 ),
inference(resolve,[$cnf( a26 )],[refute_0_145,clause_15B]) ).
cnf(refute_0_147,plain,
( a16
| a22
| b ),
inference(resolve,[$cnf( a25 )],[refute_0_146,clause_14B]) ).
cnf(refute_0_148,plain,
( ~ a
| ~ a21
| a16
| a22 ),
inference(resolve,[$cnf( b )],[refute_0_147,clause_10D]) ).
cnf(refute_0_149,plain,
( ~ a21
| a16
| a22 ),
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_148]) ).
cnf(refute_0_150,plain,
( a16
| a22 ),
inference(resolve,[$cnf( a21 )],[refute_0_128,refute_0_149]) ).
cnf(refute_0_151,plain,
( a16
| cI ),
inference(resolve,[$cnf( a22 )],[refute_0_150,clause_11A]) ).
cnf(refute_0_152,plain,
( ~ a15
| ~ a17
| a16 ),
inference(resolve,[$cnf( cI )],[refute_0_151,clause_7C]) ).
cnf(refute_0_153,plain,
( ~ a17
| a16 ),
inference(resolve,[$cnf( a15 )],[refute_0_132,refute_0_152]) ).
cnf(refute_0_154,plain,
( a12
| a16 ),
inference(resolve,[$cnf( a17 )],[refute_0_135,refute_0_153]) ).
cnf(refute_0_155,plain,
( ~ a14
| ~ a15
| a12 ),
inference(resolve,[$cnf( a16 )],[refute_0_154,clause_6C]) ).
cnf(refute_0_156,plain,
( ~ a14
| a12 ),
inference(resolve,[$cnf( a15 )],[refute_0_132,refute_0_155]) ).
cnf(refute_0_157,plain,
a12,
inference(resolve,[$cnf( a14 )],[clause_4A,refute_0_156]) ).
cnf(refute_0_158,plain,
( ~ a
| ~ a11 ),
inference(resolve,[$cnf( a12 )],[refute_0_157,clause_2C]) ).
cnf(refute_0_159,plain,
~ a11,
inference(resolve,[$cnf( a )],[refute_0_80,refute_0_158]) ).
cnf(refute_0_160,plain,
$false,
inference(resolve,[$cnf( a11 )],[refute_0_127,refute_0_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n013.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 : 600
% 0.14/0.36 % DateTime : Thu Jun 16 20:59:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48
% 0.22/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.48
%------------------------------------------------------------------------------