TSTP Solution File: SYN010-1.005.005 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 : Thu Jul 21 08:58:24 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of clauses : 133 ( 28 unt; 0 nHn; 133 RR)
% Number of literals : 448 ( 0 equ; 321 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
~ p_0 ).
cnf(clause_2,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ) ).
cnf(clause_3,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ).
cnf(clause_4,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ).
cnf(clause_5,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ).
cnf(clause_6,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ).
cnf(clause_7,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ).
cnf(clause_8,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ).
cnf(clause_9,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ).
cnf(clause_10,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ).
cnf(clause_11,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ).
cnf(clause_12,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ).
cnf(clause_13,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ).
cnf(clause_14,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ).
cnf(clause_15,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ).
cnf(clause_16,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ).
cnf(clause_17,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ).
cnf(clause_18,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ).
cnf(clause_19,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ).
cnf(clause_20,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ).
cnf(clause_21,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ).
cnf(clause_22,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ).
cnf(clause_23,negated_conjecture,
p_5_1 ).
cnf(clause_24,negated_conjecture,
p_5_2 ).
cnf(clause_25,negated_conjecture,
p_5_3 ).
cnf(clause_26,negated_conjecture,
p_5_4 ).
cnf(clause_27,negated_conjecture,
p_5_5 ).
cnf(refute_0_0,plain,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(resolve,[$cnf( p_0 )],[clause_2,clause_1]) ).
cnf(refute_0_1,plain,
( ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_1 ),
inference(resolve,[$cnf( p_5_1 )],[clause_23,clause_18]) ).
cnf(refute_0_2,plain,
( ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_1 ),
inference(resolve,[$cnf( p_5_2 )],[clause_24,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_1 ),
inference(resolve,[$cnf( p_5_3 )],[clause_25,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p_5_5
| p_4_1 ),
inference(resolve,[$cnf( p_5_4 )],[clause_26,refute_0_3]) ).
cnf(refute_0_5,plain,
p_4_1,
inference(resolve,[$cnf( p_5_5 )],[clause_27,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(resolve,[$cnf( p_4_1 )],[refute_0_5,clause_13]) ).
cnf(refute_0_7,plain,
( ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_2 ),
inference(resolve,[$cnf( p_5_1 )],[clause_23,clause_19]) ).
cnf(refute_0_8,plain,
( ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_2 ),
inference(resolve,[$cnf( p_5_2 )],[clause_24,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_2 ),
inference(resolve,[$cnf( p_5_3 )],[clause_25,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ p_5_5
| p_4_2 ),
inference(resolve,[$cnf( p_5_4 )],[clause_26,refute_0_9]) ).
cnf(refute_0_11,plain,
p_4_2,
inference(resolve,[$cnf( p_5_5 )],[clause_27,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(resolve,[$cnf( p_4_2 )],[refute_0_11,refute_0_6]) ).
cnf(refute_0_13,plain,
( ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_3 ),
inference(resolve,[$cnf( p_5_1 )],[clause_23,clause_20]) ).
cnf(refute_0_14,plain,
( ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_3 ),
inference(resolve,[$cnf( p_5_2 )],[clause_24,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_3 ),
inference(resolve,[$cnf( p_5_3 )],[clause_25,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ p_5_5
| p_4_3 ),
inference(resolve,[$cnf( p_5_4 )],[clause_26,refute_0_15]) ).
cnf(refute_0_17,plain,
p_4_3,
inference(resolve,[$cnf( p_5_5 )],[clause_27,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(resolve,[$cnf( p_4_3 )],[refute_0_17,refute_0_12]) ).
cnf(refute_0_19,plain,
( ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_4 ),
inference(resolve,[$cnf( p_5_1 )],[clause_23,clause_21]) ).
cnf(refute_0_20,plain,
( ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_4 ),
inference(resolve,[$cnf( p_5_2 )],[clause_24,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_4 ),
inference(resolve,[$cnf( p_5_3 )],[clause_25,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p_5_5
| p_4_4 ),
inference(resolve,[$cnf( p_5_4 )],[clause_26,refute_0_21]) ).
cnf(refute_0_23,plain,
p_4_4,
inference(resolve,[$cnf( p_5_5 )],[clause_27,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ p_4_5
| p_3_1 ),
inference(resolve,[$cnf( p_4_4 )],[refute_0_23,refute_0_18]) ).
cnf(refute_0_25,plain,
( ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_5 ),
inference(resolve,[$cnf( p_5_1 )],[clause_23,clause_22]) ).
cnf(refute_0_26,plain,
( ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_5 ),
inference(resolve,[$cnf( p_5_2 )],[clause_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_5 ),
inference(resolve,[$cnf( p_5_3 )],[clause_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p_5_5
| p_4_5 ),
inference(resolve,[$cnf( p_5_4 )],[clause_26,refute_0_27]) ).
cnf(refute_0_29,plain,
p_4_5,
inference(resolve,[$cnf( p_5_5 )],[clause_27,refute_0_28]) ).
cnf(refute_0_30,plain,
p_3_1,
inference(resolve,[$cnf( p_4_5 )],[refute_0_29,refute_0_24]) ).
cnf(refute_0_31,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_5 ),
inference(resolve,[$cnf( p_3_1 )],[refute_0_30,clause_12]) ).
cnf(refute_0_32,plain,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(resolve,[$cnf( p_4_1 )],[refute_0_5,clause_17]) ).
cnf(refute_0_33,plain,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(resolve,[$cnf( p_4_2 )],[refute_0_11,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(resolve,[$cnf( p_4_3 )],[refute_0_17,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ p_4_5
| p_3_5 ),
inference(resolve,[$cnf( p_4_4 )],[refute_0_23,refute_0_34]) ).
cnf(refute_0_36,plain,
p_3_5,
inference(resolve,[$cnf( p_4_5 )],[refute_0_29,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| p_2_5 ),
inference(resolve,[$cnf( p_3_5 )],[refute_0_36,refute_0_31]) ).
cnf(refute_0_38,plain,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(resolve,[$cnf( p_4_1 )],[refute_0_5,clause_14]) ).
cnf(refute_0_39,plain,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(resolve,[$cnf( p_4_2 )],[refute_0_11,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(resolve,[$cnf( p_4_3 )],[refute_0_17,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ p_4_5
| p_3_2 ),
inference(resolve,[$cnf( p_4_4 )],[refute_0_23,refute_0_40]) ).
cnf(refute_0_42,plain,
p_3_2,
inference(resolve,[$cnf( p_4_5 )],[refute_0_29,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ p_3_3
| ~ p_3_4
| p_2_5 ),
inference(resolve,[$cnf( p_3_2 )],[refute_0_42,refute_0_37]) ).
cnf(refute_0_44,plain,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(resolve,[$cnf( p_4_1 )],[refute_0_5,clause_15]) ).
cnf(refute_0_45,plain,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(resolve,[$cnf( p_4_2 )],[refute_0_11,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(resolve,[$cnf( p_4_3 )],[refute_0_17,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ p_4_5
| p_3_3 ),
inference(resolve,[$cnf( p_4_4 )],[refute_0_23,refute_0_46]) ).
cnf(refute_0_48,plain,
p_3_3,
inference(resolve,[$cnf( p_4_5 )],[refute_0_29,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ p_3_4
| p_2_5 ),
inference(resolve,[$cnf( p_3_3 )],[refute_0_48,refute_0_43]) ).
cnf(refute_0_50,plain,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(resolve,[$cnf( p_4_1 )],[refute_0_5,clause_16]) ).
cnf(refute_0_51,plain,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(resolve,[$cnf( p_4_2 )],[refute_0_11,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(resolve,[$cnf( p_4_3 )],[refute_0_17,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ p_4_5
| p_3_4 ),
inference(resolve,[$cnf( p_4_4 )],[refute_0_23,refute_0_52]) ).
cnf(refute_0_54,plain,
p_3_4,
inference(resolve,[$cnf( p_4_5 )],[refute_0_29,refute_0_53]) ).
cnf(refute_0_55,plain,
p_2_5,
inference(resolve,[$cnf( p_3_4 )],[refute_0_54,refute_0_49]) ).
cnf(refute_0_56,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_5 ),
inference(resolve,[$cnf( p_2_5 )],[refute_0_55,clause_7]) ).
cnf(refute_0_57,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_1 ),
inference(resolve,[$cnf( p_3_1 )],[refute_0_30,clause_8]) ).
cnf(refute_0_58,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| p_2_1 ),
inference(resolve,[$cnf( p_3_5 )],[refute_0_36,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ p_3_3
| ~ p_3_4
| p_2_1 ),
inference(resolve,[$cnf( p_3_2 )],[refute_0_42,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ p_3_4
| p_2_1 ),
inference(resolve,[$cnf( p_3_3 )],[refute_0_48,refute_0_59]) ).
cnf(refute_0_61,plain,
p_2_1,
inference(resolve,[$cnf( p_3_4 )],[refute_0_54,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_5 ),
inference(resolve,[$cnf( p_2_1 )],[refute_0_61,refute_0_56]) ).
cnf(refute_0_63,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_2 ),
inference(resolve,[$cnf( p_3_1 )],[refute_0_30,clause_9]) ).
cnf(refute_0_64,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| p_2_2 ),
inference(resolve,[$cnf( p_3_5 )],[refute_0_36,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ p_3_3
| ~ p_3_4
| p_2_2 ),
inference(resolve,[$cnf( p_3_2 )],[refute_0_42,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ p_3_4
| p_2_2 ),
inference(resolve,[$cnf( p_3_3 )],[refute_0_48,refute_0_65]) ).
cnf(refute_0_67,plain,
p_2_2,
inference(resolve,[$cnf( p_3_4 )],[refute_0_54,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ p_2_3
| ~ p_2_4
| p_1_5 ),
inference(resolve,[$cnf( p_2_2 )],[refute_0_67,refute_0_62]) ).
cnf(refute_0_69,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_3 ),
inference(resolve,[$cnf( p_3_1 )],[refute_0_30,clause_10]) ).
cnf(refute_0_70,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| p_2_3 ),
inference(resolve,[$cnf( p_3_5 )],[refute_0_36,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ p_3_3
| ~ p_3_4
| p_2_3 ),
inference(resolve,[$cnf( p_3_2 )],[refute_0_42,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ p_3_4
| p_2_3 ),
inference(resolve,[$cnf( p_3_3 )],[refute_0_48,refute_0_71]) ).
cnf(refute_0_73,plain,
p_2_3,
inference(resolve,[$cnf( p_3_4 )],[refute_0_54,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ p_2_4
| p_1_5 ),
inference(resolve,[$cnf( p_2_3 )],[refute_0_73,refute_0_68]) ).
cnf(refute_0_75,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_4 ),
inference(resolve,[$cnf( p_3_1 )],[refute_0_30,clause_11]) ).
cnf(refute_0_76,plain,
( ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| p_2_4 ),
inference(resolve,[$cnf( p_3_5 )],[refute_0_36,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ p_3_3
| ~ p_3_4
| p_2_4 ),
inference(resolve,[$cnf( p_3_2 )],[refute_0_42,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ p_3_4
| p_2_4 ),
inference(resolve,[$cnf( p_3_3 )],[refute_0_48,refute_0_77]) ).
cnf(refute_0_79,plain,
p_2_4,
inference(resolve,[$cnf( p_3_4 )],[refute_0_54,refute_0_78]) ).
cnf(refute_0_80,plain,
p_1_5,
inference(resolve,[$cnf( p_2_4 )],[refute_0_79,refute_0_74]) ).
cnf(refute_0_81,plain,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ),
inference(resolve,[$cnf( p_1_5 )],[refute_0_80,refute_0_0]) ).
cnf(refute_0_82,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_1 ),
inference(resolve,[$cnf( p_2_5 )],[refute_0_55,clause_3]) ).
cnf(refute_0_83,plain,
( ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_1 ),
inference(resolve,[$cnf( p_2_1 )],[refute_0_61,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ p_2_3
| ~ p_2_4
| p_1_1 ),
inference(resolve,[$cnf( p_2_2 )],[refute_0_67,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ p_2_4
| p_1_1 ),
inference(resolve,[$cnf( p_2_3 )],[refute_0_73,refute_0_84]) ).
cnf(refute_0_86,plain,
p_1_1,
inference(resolve,[$cnf( p_2_4 )],[refute_0_79,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ),
inference(resolve,[$cnf( p_1_1 )],[refute_0_86,refute_0_81]) ).
cnf(refute_0_88,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_2 ),
inference(resolve,[$cnf( p_2_5 )],[refute_0_55,clause_4]) ).
cnf(refute_0_89,plain,
( ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_2 ),
inference(resolve,[$cnf( p_2_1 )],[refute_0_61,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ p_2_3
| ~ p_2_4
| p_1_2 ),
inference(resolve,[$cnf( p_2_2 )],[refute_0_67,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ p_2_4
| p_1_2 ),
inference(resolve,[$cnf( p_2_3 )],[refute_0_73,refute_0_90]) ).
cnf(refute_0_92,plain,
p_1_2,
inference(resolve,[$cnf( p_2_4 )],[refute_0_79,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ p_1_3
| ~ p_1_4 ),
inference(resolve,[$cnf( p_1_2 )],[refute_0_92,refute_0_87]) ).
cnf(refute_0_94,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_3 ),
inference(resolve,[$cnf( p_2_5 )],[refute_0_55,clause_5]) ).
cnf(refute_0_95,plain,
( ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_3 ),
inference(resolve,[$cnf( p_2_1 )],[refute_0_61,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ p_2_3
| ~ p_2_4
| p_1_3 ),
inference(resolve,[$cnf( p_2_2 )],[refute_0_67,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ p_2_4
| p_1_3 ),
inference(resolve,[$cnf( p_2_3 )],[refute_0_73,refute_0_96]) ).
cnf(refute_0_98,plain,
p_1_3,
inference(resolve,[$cnf( p_2_4 )],[refute_0_79,refute_0_97]) ).
cnf(refute_0_99,plain,
~ p_1_4,
inference(resolve,[$cnf( p_1_3 )],[refute_0_98,refute_0_93]) ).
cnf(refute_0_100,plain,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_4 ),
inference(resolve,[$cnf( p_2_5 )],[refute_0_55,clause_6]) ).
cnf(refute_0_101,plain,
( ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| p_1_4 ),
inference(resolve,[$cnf( p_2_1 )],[refute_0_61,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ p_2_3
| ~ p_2_4
| p_1_4 ),
inference(resolve,[$cnf( p_2_2 )],[refute_0_67,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ p_2_4
| p_1_4 ),
inference(resolve,[$cnf( p_2_3 )],[refute_0_73,refute_0_102]) ).
cnf(refute_0_104,plain,
p_1_4,
inference(resolve,[$cnf( p_2_4 )],[refute_0_79,refute_0_103]) ).
cnf(refute_0_105,plain,
$false,
inference(resolve,[$cnf( p_1_4 )],[refute_0_104,refute_0_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.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 : Mon Jul 11 16:04:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------