TSTP Solution File: SYN036-3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 08:58:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :   30
% Syntax   : Number of clauses     :  144 (  14 unt;  83 nHn; 101 RR)
%            Number of literals    :  373 (   0 equ;  99 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   73 (  51 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ) ).

cnf(clause_4,negated_conjecture,
    ( n2
    | n9
    | n6
    | n10 ) ).

cnf(clause_6,negated_conjecture,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ) ).

cnf(clause_7,negated_conjecture,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ) ).

cnf(clause_9,negated_conjecture,
    ( ~ p(s8)
    | n8 ) ).

cnf(clause_10,negated_conjecture,
    ( ~ n8
    | p(X8) ) ).

cnf(clause_11,negated_conjecture,
    ( ~ p(X7)
    | n7 ) ).

cnf(clause_12,negated_conjecture,
    ( ~ n7
    | p(s7) ) ).

cnf(clause_13,negated_conjecture,
    ( ~ n5(X6)
    | n6 ) ).

cnf(clause_14,negated_conjecture,
    ( ~ n6
    | n5(s6) ) ).

cnf(clause_15,negated_conjecture,
    ( ~ q(X)
    | ~ q(s5(X))
    | n5(X) ) ).

cnf(clause_16,negated_conjecture,
    ( q(X)
    | q(s5(X))
    | n5(X) ) ).

cnf(clause_17,negated_conjecture,
    ( ~ n5(X)
    | ~ q(X)
    | q(X5) ) ).

cnf(clause_18,negated_conjecture,
    ( ~ n5(X)
    | q(X)
    | ~ q(X5) ) ).

cnf(clause_19,negated_conjecture,
    ( ~ q(s4)
    | n4 ) ).

cnf(clause_20,negated_conjecture,
    ( ~ n4
    | q(X4) ) ).

cnf(clause_21,negated_conjecture,
    ( ~ q(X3)
    | n3 ) ).

cnf(clause_22,negated_conjecture,
    ( ~ n3
    | q(s3) ) ).

cnf(clause_23,negated_conjecture,
    ( ~ n1(X2)
    | n2 ) ).

cnf(clause_24,negated_conjecture,
    ( ~ n2
    | n1(s2) ) ).

cnf(clause_25,negated_conjecture,
    ( ~ p(X)
    | ~ p(s1(X))
    | n1(X) ) ).

cnf(clause_26,negated_conjecture,
    ( p(X)
    | p(s1(X))
    | n1(X) ) ).

cnf(clause_27,negated_conjecture,
    ( ~ n1(X)
    | ~ p(X)
    | p(X1) ) ).

cnf(clause_28,negated_conjecture,
    ( ~ n1(X)
    | p(X)
    | ~ p(X1) ) ).

cnf(clause_29,negated_conjecture,
    ( ~ n3
    | ~ n4
    | n9 ) ).

cnf(clause_30,negated_conjecture,
    ( n3
    | n4
    | n9 ) ).

cnf(clause_31,negated_conjecture,
    ( ~ n3
    | n4
    | ~ n9 ) ).

cnf(clause_33,negated_conjecture,
    ( ~ n7
    | ~ n8
    | n10 ) ).

cnf(clause_34,negated_conjecture,
    ( n7
    | n8
    | n10 ) ).

cnf(clause_35,negated_conjecture,
    ( ~ n7
    | n8
    | ~ n10 ) ).

cnf(refute_0_0,plain,
    ( ~ n5(X_48)
    | n6 ),
    inference(subst,[],[clause_13:[bind(X6,$fot(X_48))]]) ).

cnf(refute_0_1,plain,
    ( ~ n1(s7)
    | n2 ),
    inference(subst,[],[clause_23:[bind(X2,$fot(s7))]]) ).

cnf(refute_0_2,plain,
    ( ~ n1(X_14)
    | n2 ),
    inference(subst,[],[clause_23:[bind(X2,$fot(X_14))]]) ).

cnf(refute_0_3,plain,
    ( ~ p(X_13)
    | n7 ),
    inference(subst,[],[clause_11:[bind(X7,$fot(X_13))]]) ).

cnf(refute_0_4,plain,
    ( ~ p(s1(X_12))
    | n7 ),
    inference(subst,[],[clause_11:[bind(X7,$fot(s1(X_12)))]]) ).

cnf(refute_0_5,plain,
    ( n1(X_12)
    | p(X_12)
    | p(s1(X_12)) ),
    inference(subst,[],[clause_26:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_6,plain,
    ( n1(X_12)
    | n7
    | p(X_12) ),
    inference(resolve,[$cnf( p(s1(X_12)) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    ( n1(X_13)
    | n7
    | p(X_13) ),
    inference(subst,[],[refute_0_6:[bind(X_12,$fot(X_13))]]) ).

cnf(refute_0_8,plain,
    ( n1(X_13)
    | n7 ),
    inference(resolve,[$cnf( p(X_13) )],[refute_0_7,refute_0_3]) ).

cnf(refute_0_9,plain,
    ( n1(X_14)
    | n7 ),
    inference(subst,[],[refute_0_8:[bind(X_13,$fot(X_14))]]) ).

cnf(refute_0_10,plain,
    ( n2
    | n7 ),
    inference(resolve,[$cnf( n1(X_14) )],[refute_0_9,refute_0_2]) ).

cnf(refute_0_11,plain,
    ( n2
    | p(s7) ),
    inference(resolve,[$cnf( n7 )],[refute_0_10,clause_12]) ).

cnf(refute_0_12,plain,
    ( ~ n10
    | n2
    | n8 ),
    inference(resolve,[$cnf( n7 )],[refute_0_10,clause_35]) ).

cnf(refute_0_13,plain,
    ( ~ p(X_6)
    | n7 ),
    inference(subst,[],[clause_11:[bind(X7,$fot(X_6))]]) ).

cnf(refute_0_14,plain,
    ( ~ n8
    | p(X_1) ),
    inference(subst,[],[clause_10:[bind(X8,$fot(X_1))]]) ).

cnf(refute_0_15,plain,
    ( n10
    | n7
    | p(X_1) ),
    inference(resolve,[$cnf( n8 )],[clause_34,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( n10
    | n7
    | p(X_6) ),
    inference(subst,[],[refute_0_15:[bind(X_1,$fot(X_6))]]) ).

cnf(refute_0_17,plain,
    ( n10
    | n7 ),
    inference(resolve,[$cnf( p(X_6) )],[refute_0_16,refute_0_13]) ).

cnf(refute_0_18,plain,
    ( ~ q(X_25)
    | n3 ),
    inference(subst,[],[clause_21:[bind(X3,$fot(X_25))]]) ).

cnf(refute_0_19,plain,
    ( ~ n6
    | n10
    | n2
    | n3
    | n4 ),
    inference(resolve,[$cnf( n9 )],[clause_30,clause_7]) ).

cnf(refute_0_20,plain,
    ( ~ n5(X_11)
    | n6 ),
    inference(subst,[],[clause_13:[bind(X6,$fot(X_11))]]) ).

cnf(refute_0_21,plain,
    ( ~ q(X_10)
    | n3 ),
    inference(subst,[],[clause_21:[bind(X3,$fot(X_10))]]) ).

cnf(refute_0_22,plain,
    ( ~ q(s5(X_9))
    | n3 ),
    inference(subst,[],[clause_21:[bind(X3,$fot(s5(X_9)))]]) ).

cnf(refute_0_23,plain,
    ( n5(X_9)
    | q(X_9)
    | q(s5(X_9)) ),
    inference(subst,[],[clause_16:[bind(X,$fot(X_9))]]) ).

cnf(refute_0_24,plain,
    ( n3
    | n5(X_9)
    | q(X_9) ),
    inference(resolve,[$cnf( q(s5(X_9)) )],[refute_0_23,refute_0_22]) ).

cnf(refute_0_25,plain,
    ( n3
    | n5(X_10)
    | q(X_10) ),
    inference(subst,[],[refute_0_24:[bind(X_9,$fot(X_10))]]) ).

cnf(refute_0_26,plain,
    ( n3
    | n5(X_10) ),
    inference(resolve,[$cnf( q(X_10) )],[refute_0_25,refute_0_21]) ).

cnf(refute_0_27,plain,
    ( n3
    | n5(X_11) ),
    inference(subst,[],[refute_0_26:[bind(X_10,$fot(X_11))]]) ).

cnf(refute_0_28,plain,
    ( n3
    | n6 ),
    inference(resolve,[$cnf( n5(X_11) )],[refute_0_27,refute_0_20]) ).

cnf(refute_0_29,plain,
    ( n10
    | n2
    | n3
    | n4 ),
    inference(resolve,[$cnf( n6 )],[refute_0_28,refute_0_19]) ).

cnf(refute_0_30,plain,
    ( n10
    | n2
    | n3
    | q(X4) ),
    inference(resolve,[$cnf( n4 )],[refute_0_29,clause_20]) ).

cnf(refute_0_31,plain,
    ( n10
    | n2
    | n3
    | q(X_25) ),
    inference(subst,[],[refute_0_30:[bind(X4,$fot(X_25))]]) ).

cnf(refute_0_32,plain,
    ( n10
    | n2
    | n3 ),
    inference(resolve,[$cnf( q(X_25) )],[refute_0_31,refute_0_18]) ).

cnf(refute_0_33,plain,
    ( ~ n3
    | n10
    | n2
    | n4
    | n6 ),
    inference(resolve,[$cnf( n9 )],[clause_4,clause_31]) ).

cnf(refute_0_34,plain,
    ( n10
    | n2
    | n4
    | n6 ),
    inference(resolve,[$cnf( n3 )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( n10
    | n2
    | n4
    | n5(s6) ),
    inference(resolve,[$cnf( n6 )],[refute_0_34,clause_14]) ).

cnf(refute_0_36,plain,
    ( ~ n5(s6)
    | ~ q(s6)
    | q(X5) ),
    inference(subst,[],[clause_17:[bind(X,$fot(s6))]]) ).

cnf(refute_0_37,plain,
    ( ~ n5(X)
    | ~ q(s3)
    | q(X) ),
    inference(subst,[],[clause_18:[bind(X5,$fot(s3))]]) ).

cnf(refute_0_38,plain,
    ( n10
    | n2
    | q(s3) ),
    inference(resolve,[$cnf( n3 )],[refute_0_32,clause_22]) ).

cnf(refute_0_39,plain,
    ( ~ n5(X)
    | n10
    | n2
    | q(X) ),
    inference(resolve,[$cnf( q(s3) )],[refute_0_38,refute_0_37]) ).

cnf(refute_0_40,plain,
    ( ~ n5(s6)
    | n10
    | n2
    | q(s6) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(s6))]]) ).

cnf(refute_0_41,plain,
    ( n10
    | n2
    | n4
    | q(s6) ),
    inference(resolve,[$cnf( n5(s6) )],[refute_0_35,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ~ n5(s6)
    | n10
    | n2
    | n4
    | q(X5) ),
    inference(resolve,[$cnf( q(s6) )],[refute_0_41,refute_0_36]) ).

cnf(refute_0_43,plain,
    ( ~ n5(s6)
    | n10
    | n2
    | n4
    | q(X_34) ),
    inference(subst,[],[refute_0_42:[bind(X5,$fot(X_34))]]) ).

cnf(refute_0_44,plain,
    ( n10
    | n2
    | n4
    | q(X_34) ),
    inference(resolve,[$cnf( n5(s6) )],[refute_0_35,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( n10
    | n2
    | n4
    | q(s4) ),
    inference(subst,[],[refute_0_44:[bind(X_34,$fot(s4))]]) ).

cnf(refute_0_46,plain,
    ( n10
    | n2
    | n4 ),
    inference(resolve,[$cnf( q(s4) )],[refute_0_45,clause_19]) ).

cnf(refute_0_47,plain,
    ( ~ n3
    | n10
    | n2
    | n9 ),
    inference(resolve,[$cnf( n4 )],[refute_0_46,clause_29]) ).

cnf(refute_0_48,plain,
    ( n10
    | n2
    | n9 ),
    inference(resolve,[$cnf( n3 )],[refute_0_32,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( ~ n6
    | n10
    | n2 ),
    inference(resolve,[$cnf( n9 )],[refute_0_48,clause_7]) ).

cnf(refute_0_50,plain,
    ( ~ n5(s3)
    | n6 ),
    inference(subst,[],[clause_13:[bind(X6,$fot(s3))]]) ).

cnf(refute_0_51,plain,
    ( n10
    | n2
    | q(X4) ),
    inference(resolve,[$cnf( n4 )],[refute_0_46,clause_20]) ).

cnf(refute_0_52,plain,
    ( n10
    | n2
    | q(s5(X)) ),
    inference(subst,[],[refute_0_51:[bind(X4,$fot(s5(X)))]]) ).

cnf(refute_0_53,plain,
    ( ~ q(X)
    | n10
    | n2
    | n5(X) ),
    inference(resolve,[$cnf( q(s5(X)) )],[refute_0_52,clause_15]) ).

cnf(refute_0_54,plain,
    ( ~ q(s3)
    | n10
    | n2
    | n5(s3) ),
    inference(subst,[],[refute_0_53:[bind(X,$fot(s3))]]) ).

cnf(refute_0_55,plain,
    ( n10
    | n2
    | n5(s3) ),
    inference(resolve,[$cnf( q(s3) )],[refute_0_38,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( n10
    | n2
    | n6 ),
    inference(resolve,[$cnf( n5(s3) )],[refute_0_55,refute_0_50]) ).

cnf(refute_0_57,plain,
    ( n10
    | n2 ),
    inference(resolve,[$cnf( n6 )],[refute_0_56,refute_0_49]) ).

cnf(refute_0_58,plain,
    ( n1(s2)
    | n10 ),
    inference(resolve,[$cnf( n2 )],[refute_0_57,clause_24]) ).

cnf(refute_0_59,plain,
    ( ~ n1(s2)
    | ~ p(s2)
    | p(X1) ),
    inference(subst,[],[clause_27:[bind(X,$fot(s2))]]) ).

cnf(refute_0_60,plain,
    ( n10
    | p(s7) ),
    inference(resolve,[$cnf( n7 )],[refute_0_17,clause_12]) ).

cnf(refute_0_61,plain,
    ( ~ n1(X_22)
    | ~ p(s7)
    | p(X_22) ),
    inference(subst,[],[clause_28:[bind(X,$fot(X_22)),bind(X1,$fot(s7))]]) ).

cnf(refute_0_62,plain,
    ( ~ n1(X_22)
    | n10
    | p(X_22) ),
    inference(resolve,[$cnf( p(s7) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( ~ n1(s2)
    | n10
    | p(s2) ),
    inference(subst,[],[refute_0_62:[bind(X_22,$fot(s2))]]) ).

cnf(refute_0_64,plain,
    ( n10
    | p(s2) ),
    inference(resolve,[$cnf( n1(s2) )],[refute_0_58,refute_0_63]) ).

cnf(refute_0_65,plain,
    ( ~ n1(s2)
    | n10
    | p(X1) ),
    inference(resolve,[$cnf( p(s2) )],[refute_0_64,refute_0_59]) ).

cnf(refute_0_66,plain,
    ( ~ n1(s2)
    | n10
    | p(X_38) ),
    inference(subst,[],[refute_0_65:[bind(X1,$fot(X_38))]]) ).

cnf(refute_0_67,plain,
    ( n10
    | p(X_38) ),
    inference(resolve,[$cnf( n1(s2) )],[refute_0_58,refute_0_66]) ).

cnf(refute_0_68,plain,
    ( n10
    | p(s8) ),
    inference(subst,[],[refute_0_67:[bind(X_38,$fot(s8))]]) ).

cnf(refute_0_69,plain,
    ( n10
    | n8 ),
    inference(resolve,[$cnf( p(s8) )],[refute_0_68,clause_9]) ).

cnf(refute_0_70,plain,
    ( ~ n7
    | n10 ),
    inference(resolve,[$cnf( n8 )],[refute_0_69,clause_33]) ).

cnf(refute_0_71,plain,
    n10,
    inference(resolve,[$cnf( n7 )],[refute_0_17,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( n2
    | n8 ),
    inference(resolve,[$cnf( n10 )],[refute_0_71,refute_0_12]) ).

cnf(refute_0_73,plain,
    ( n2
    | p(X8) ),
    inference(resolve,[$cnf( n8 )],[refute_0_72,clause_10]) ).

cnf(refute_0_74,plain,
    ( n2
    | p(s1(X)) ),
    inference(subst,[],[refute_0_73:[bind(X8,$fot(s1(X)))]]) ).

cnf(refute_0_75,plain,
    ( ~ p(X)
    | n1(X)
    | n2 ),
    inference(resolve,[$cnf( p(s1(X)) )],[refute_0_74,clause_25]) ).

cnf(refute_0_76,plain,
    ( ~ p(s7)
    | n1(s7)
    | n2 ),
    inference(subst,[],[refute_0_75:[bind(X,$fot(s7))]]) ).

cnf(refute_0_77,plain,
    ( n1(s7)
    | n2 ),
    inference(resolve,[$cnf( p(s7) )],[refute_0_11,refute_0_76]) ).

cnf(refute_0_78,plain,
    n2,
    inference(resolve,[$cnf( n1(s7) )],[refute_0_77,refute_0_1]) ).

cnf(refute_0_79,plain,
    ( ~ n10
    | n6
    | n9 ),
    inference(resolve,[$cnf( n2 )],[refute_0_78,clause_6]) ).

cnf(refute_0_80,plain,
    ( n6
    | n9 ),
    inference(resolve,[$cnf( n10 )],[refute_0_71,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( ~ n3
    | n4
    | n6 ),
    inference(resolve,[$cnf( n9 )],[refute_0_80,clause_31]) ).

cnf(refute_0_82,plain,
    ( ~ q(X_42)
    | n3 ),
    inference(subst,[],[clause_21:[bind(X3,$fot(X_42))]]) ).

cnf(refute_0_83,plain,
    ( ~ n10
    | ~ n2
    | ~ n6
    | n3
    | n4 ),
    inference(resolve,[$cnf( n9 )],[clause_30,clause_1]) ).

cnf(refute_0_84,plain,
    ( ~ n10
    | ~ n2
    | n3
    | n4 ),
    inference(resolve,[$cnf( n6 )],[refute_0_28,refute_0_83]) ).

cnf(refute_0_85,plain,
    ( ~ n10
    | n3
    | n4 ),
    inference(resolve,[$cnf( n2 )],[refute_0_78,refute_0_84]) ).

cnf(refute_0_86,plain,
    ( n3
    | n4 ),
    inference(resolve,[$cnf( n10 )],[refute_0_71,refute_0_85]) ).

cnf(refute_0_87,plain,
    ( n3
    | q(X4) ),
    inference(resolve,[$cnf( n4 )],[refute_0_86,clause_20]) ).

cnf(refute_0_88,plain,
    ( n3
    | q(X_42) ),
    inference(subst,[],[refute_0_87:[bind(X4,$fot(X_42))]]) ).

cnf(refute_0_89,plain,
    n3,
    inference(resolve,[$cnf( q(X_42) )],[refute_0_88,refute_0_82]) ).

cnf(refute_0_90,plain,
    ( n4
    | n6 ),
    inference(resolve,[$cnf( n3 )],[refute_0_89,refute_0_81]) ).

cnf(refute_0_91,plain,
    ( n4
    | n5(s6) ),
    inference(resolve,[$cnf( n6 )],[refute_0_90,clause_14]) ).

cnf(refute_0_92,plain,
    q(s3),
    inference(resolve,[$cnf( n3 )],[refute_0_89,clause_22]) ).

cnf(refute_0_93,plain,
    ( ~ n5(X)
    | q(X) ),
    inference(resolve,[$cnf( q(s3) )],[refute_0_92,refute_0_37]) ).

cnf(refute_0_94,plain,
    ( ~ n5(s6)
    | q(s6) ),
    inference(subst,[],[refute_0_93:[bind(X,$fot(s6))]]) ).

cnf(refute_0_95,plain,
    ( n4
    | q(s6) ),
    inference(resolve,[$cnf( n5(s6) )],[refute_0_91,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( ~ n5(s6)
    | n4
    | q(X5) ),
    inference(resolve,[$cnf( q(s6) )],[refute_0_95,refute_0_36]) ).

cnf(refute_0_97,plain,
    ( ~ n5(s6)
    | n4
    | q(X_45) ),
    inference(subst,[],[refute_0_96:[bind(X5,$fot(X_45))]]) ).

cnf(refute_0_98,plain,
    ( n4
    | q(X_45) ),
    inference(resolve,[$cnf( n5(s6) )],[refute_0_91,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( n4
    | q(s4) ),
    inference(subst,[],[refute_0_98:[bind(X_45,$fot(s4))]]) ).

cnf(refute_0_100,plain,
    n4,
    inference(resolve,[$cnf( q(s4) )],[refute_0_99,clause_19]) ).

cnf(refute_0_101,plain,
    q(X4),
    inference(resolve,[$cnf( n4 )],[refute_0_100,clause_20]) ).

cnf(refute_0_102,plain,
    q(s5(X)),
    inference(subst,[],[refute_0_101:[bind(X4,$fot(s5(X)))]]) ).

cnf(refute_0_103,plain,
    ( ~ q(X)
    | n5(X) ),
    inference(resolve,[$cnf( q(s5(X)) )],[refute_0_102,clause_15]) ).

cnf(refute_0_104,plain,
    q(X),
    inference(subst,[],[refute_0_101:[bind(X4,$fot(X))]]) ).

cnf(refute_0_105,plain,
    n5(X),
    inference(resolve,[$cnf( q(X) )],[refute_0_104,refute_0_103]) ).

cnf(refute_0_106,plain,
    n5(X_48),
    inference(subst,[],[refute_0_105:[bind(X,$fot(X_48))]]) ).

cnf(refute_0_107,plain,
    n6,
    inference(resolve,[$cnf( n5(X_48) )],[refute_0_106,refute_0_0]) ).

cnf(refute_0_108,plain,
    ( ~ n3
    | n9 ),
    inference(resolve,[$cnf( n4 )],[refute_0_100,clause_29]) ).

cnf(refute_0_109,plain,
    n9,
    inference(resolve,[$cnf( n3 )],[refute_0_89,refute_0_108]) ).

cnf(refute_0_110,plain,
    ( ~ n10
    | ~ n2
    | ~ n6 ),
    inference(resolve,[$cnf( n9 )],[refute_0_109,clause_1]) ).

cnf(refute_0_111,plain,
    ( ~ n2
    | ~ n6 ),
    inference(resolve,[$cnf( n10 )],[refute_0_71,refute_0_110]) ).

cnf(refute_0_112,plain,
    ~ n6,
    inference(resolve,[$cnf( n2 )],[refute_0_78,refute_0_111]) ).

cnf(refute_0_113,plain,
    $false,
    inference(resolve,[$cnf( n6 )],[refute_0_107,refute_0_112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 14:30:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37  
%------------------------------------------------------------------------------