%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN037-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 21 08:58:46 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 110
% Number of leaves : 35
% Syntax : Number of clauses : 237 ( 19 unt; 162 nHn; 167 RR)
% Number of literals : 635 ( 0 equ; 147 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 : 120 ( 80 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ) ).
cnf(clause_2,negated_conjecture,
( ~ n2
| ~ n9
| n6
| n10 ) ).
cnf(clause_3,negated_conjecture,
( n2
| n9
| ~ n6
| ~ n10 ) ).
cnf(clause_4,negated_conjecture,
( n2
| n9
| n6
| n10 ) ).
cnf(clause_5,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,
( ~ q(s8)
| n8 ) ).
cnf(clause_10,negated_conjecture,
( ~ n8
| q(X10) ) ).
cnf(clause_11,negated_conjecture,
( ~ p(X9)
| n7 ) ).
cnf(clause_12,negated_conjecture,
( ~ n7
| p(s7) ) ).
cnf(clause_13,negated_conjecture,
( ~ n5(X8)
| n6 ) ).
cnf(clause_14,negated_conjecture,
( ~ n6
| n5(s6) ) ).
cnf(clause_15,negated_conjecture,
( ~ q(s5(W))
| ~ q(W)
| n5(W) ) ).
cnf(clause_16,negated_conjecture,
( q(s5(W))
| q(W)
| n5(W) ) ).
cnf(clause_17,negated_conjecture,
( ~ n5(W)
| ~ q(X7)
| q(W) ) ).
cnf(clause_18,negated_conjecture,
( ~ n5(W)
| q(X7)
| ~ q(W) ) ).
cnf(clause_19,negated_conjecture,
( ~ p(s4)
| n4 ) ).
cnf(clause_20,negated_conjecture,
( ~ n4
| p(X6) ) ).
cnf(clause_21,negated_conjecture,
( ~ q(X5)
| n3 ) ).
cnf(clause_22,negated_conjecture,
( ~ n3
| q(s3) ) ).
cnf(clause_23,negated_conjecture,
( ~ n1(X4)
| 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(X3) ) ).
cnf(clause_28,negated_conjecture,
( ~ n1(X)
| p(X)
| ~ p(X3) ) ).
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_32,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(clause_36,negated_conjecture,
( n7
| ~ n8
| ~ n10 ) ).
cnf(refute_0_0,plain,
( ~ n5(X_74)
| n6 ),
inference(subst,[],[clause_13:[bind(X8,$fot(X_74))]]) ).
cnf(refute_0_1,plain,
( ~ p(X_71)
| n7 ),
inference(subst,[],[clause_11:[bind(X9,$fot(X_71))]]) ).
cnf(refute_0_2,plain,
( ~ n1(s2)
| ~ p(s2)
| p(X3) ),
inference(subst,[],[clause_27:[bind(X,$fot(s2))]]) ).
cnf(refute_0_3,plain,
( ~ n1(X_23)
| ~ p(s1(X))
| p(X_23) ),
inference(subst,[],[clause_28:[bind(X,$fot(X_23)),bind(X3,$fot(s1(X)))]]) ).
cnf(refute_0_4,plain,
( ~ n1(X_23)
| n1(X)
| p(X)
| p(X_23) ),
inference(resolve,[$cnf( p(s1(X)) )],[clause_26,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ n1(s2)
| n1(X)
| p(X)
| p(s2) ),
inference(subst,[],[refute_0_4:[bind(X_23,$fot(s2))]]) ).
cnf(refute_0_6,plain,
( ~ n1(s7)
| n2 ),
inference(subst,[],[clause_23:[bind(X4,$fot(s7))]]) ).
cnf(refute_0_7,plain,
( ~ n1(X_14)
| n2 ),
inference(subst,[],[clause_23:[bind(X4,$fot(X_14))]]) ).
cnf(refute_0_8,plain,
( ~ p(X_13)
| n7 ),
inference(subst,[],[clause_11:[bind(X9,$fot(X_13))]]) ).
cnf(refute_0_9,plain,
( ~ p(s1(X_12))
| n7 ),
inference(subst,[],[clause_11:[bind(X9,$fot(s1(X_12)))]]) ).
cnf(refute_0_10,plain,
( n1(X_12)
| p(X_12)
| p(s1(X_12)) ),
inference(subst,[],[clause_26:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_11,plain,
( n1(X_12)
| n7
| p(X_12) ),
inference(resolve,[$cnf( p(s1(X_12)) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( n1(X_13)
| n7
| p(X_13) ),
inference(subst,[],[refute_0_11:[bind(X_12,$fot(X_13))]]) ).
cnf(refute_0_13,plain,
( n1(X_13)
| n7 ),
inference(resolve,[$cnf( p(X_13) )],[refute_0_12,refute_0_8]) ).
cnf(refute_0_14,plain,
( n1(X_14)
| n7 ),
inference(subst,[],[refute_0_13:[bind(X_13,$fot(X_14))]]) ).
cnf(refute_0_15,plain,
( n2
| n7 ),
inference(resolve,[$cnf( n1(X_14) )],[refute_0_14,refute_0_7]) ).
cnf(refute_0_16,plain,
( n2
| p(s7) ),
inference(resolve,[$cnf( n7 )],[refute_0_15,clause_12]) ).
cnf(refute_0_17,plain,
( ~ q(X_54)
| n3 ),
inference(subst,[],[clause_21:[bind(X5,$fot(X_54))]]) ).
cnf(refute_0_18,plain,
( ~ n10
| n2
| n8 ),
inference(resolve,[$cnf( n7 )],[refute_0_15,clause_35]) ).
cnf(refute_0_19,plain,
( ~ p(X_51)
| n7 ),
inference(subst,[],[clause_11:[bind(X9,$fot(X_51))]]) ).
cnf(refute_0_20,plain,
( ~ n5(X_9)
| n6 ),
inference(subst,[],[clause_13:[bind(X8,$fot(X_9))]]) ).
cnf(refute_0_21,plain,
( ~ q(X_8)
| n3 ),
inference(subst,[],[clause_21:[bind(X5,$fot(X_8))]]) ).
cnf(refute_0_22,plain,
( ~ q(s5(X_7))
| n3 ),
inference(subst,[],[clause_21:[bind(X5,$fot(s5(X_7)))]]) ).
cnf(refute_0_23,plain,
( n5(X_7)
| q(X_7)
| q(s5(X_7)) ),
inference(subst,[],[clause_16:[bind(W,$fot(X_7))]]) ).
cnf(refute_0_24,plain,
( n3
| n5(X_7)
| q(X_7) ),
inference(resolve,[$cnf( q(s5(X_7)) )],[refute_0_23,refute_0_22]) ).
cnf(refute_0_25,plain,
( n3
| n5(X_8)
| q(X_8) ),
inference(subst,[],[refute_0_24:[bind(X_7,$fot(X_8))]]) ).
cnf(refute_0_26,plain,
( n3
| n5(X_8) ),
inference(resolve,[$cnf( q(X_8) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
( n3
| n5(X_9) ),
inference(subst,[],[refute_0_26:[bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_28,plain,
( n3
| n6 ),
inference(resolve,[$cnf( n5(X_9) )],[refute_0_27,refute_0_20]) ).
cnf(refute_0_29,plain,
( ~ n2
| n10
| n3
| n9 ),
inference(resolve,[$cnf( n6 )],[refute_0_28,clause_5]) ).
cnf(refute_0_30,plain,
( ~ n3
| n10
| n2
| n4
| n6 ),
inference(resolve,[$cnf( n9 )],[clause_4,clause_31]) ).
cnf(refute_0_31,plain,
( ~ n6
| n10
| n2
| n3
| n4 ),
inference(resolve,[$cnf( n9 )],[clause_30,clause_7]) ).
cnf(refute_0_32,plain,
( n10
| n2
| n3
| n4 ),
inference(resolve,[$cnf( n6 )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( n10
| n2
| n3
| p(X6) ),
inference(resolve,[$cnf( n4 )],[refute_0_32,clause_20]) ).
cnf(refute_0_34,plain,
( n10
| n2
| n3
| p(s1(X)) ),
inference(subst,[],[refute_0_33:[bind(X6,$fot(s1(X)))]]) ).
cnf(refute_0_35,plain,
( ~ p(X)
| n1(X)
| n10
| n2
| n3 ),
inference(resolve,[$cnf( p(s1(X)) )],[refute_0_34,clause_25]) ).
cnf(refute_0_36,plain,
( ~ p(s7)
| n1(s7)
| n10
| n2
| n3 ),
inference(subst,[],[refute_0_35:[bind(X,$fot(s7))]]) ).
cnf(refute_0_37,plain,
( n1(s7)
| n10
| n2
| n3 ),
inference(resolve,[$cnf( p(s7) )],[refute_0_16,refute_0_36]) ).
cnf(refute_0_38,plain,
( n10
| n2
| n3 ),
inference(resolve,[$cnf( n1(s7) )],[refute_0_37,refute_0_6]) ).
cnf(refute_0_39,plain,
( n10
| n2
| n4
| n6 ),
inference(resolve,[$cnf( n3 )],[refute_0_38,refute_0_30]) ).
cnf(refute_0_40,plain,
( n10
| n2
| n4
| n5(s6) ),
inference(resolve,[$cnf( n6 )],[refute_0_39,clause_14]) ).
cnf(refute_0_41,plain,
( ~ n5(s6)
| ~ q(s6)
| q(X7) ),
inference(subst,[],[clause_18:[bind(W,$fot(s6))]]) ).
cnf(refute_0_42,plain,
( ~ n5(W)
| ~ q(s3)
| q(W) ),
inference(subst,[],[clause_17:[bind(X7,$fot(s3))]]) ).
cnf(refute_0_43,plain,
( n10
| n2
| q(s3) ),
inference(resolve,[$cnf( n3 )],[refute_0_38,clause_22]) ).
cnf(refute_0_44,plain,
( ~ n5(W)
| n10
| n2
| q(W) ),
inference(resolve,[$cnf( q(s3) )],[refute_0_43,refute_0_42]) ).
cnf(refute_0_45,plain,
( ~ n5(s6)
| n10
| n2
| q(s6) ),
inference(subst,[],[refute_0_44:[bind(W,$fot(s6))]]) ).
cnf(refute_0_46,plain,
( n10
| n2
| n4
| q(s6) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ n5(s6)
| n10
| n2
| n4
| q(X7) ),
inference(resolve,[$cnf( q(s6) )],[refute_0_46,refute_0_41]) ).
cnf(refute_0_48,plain,
( ~ n5(s6)
| n10
| n2
| n4
| q(X_39) ),
inference(subst,[],[refute_0_47:[bind(X7,$fot(X_39))]]) ).
cnf(refute_0_49,plain,
( n10
| n2
| n4
| q(X_39) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_40,refute_0_48]) ).
cnf(refute_0_50,plain,
( n10
| n2
| n4
| q(s8) ),
inference(subst,[],[refute_0_49:[bind(X_39,$fot(s8))]]) ).
cnf(refute_0_51,plain,
( n10
| n2
| n4
| n8 ),
inference(resolve,[$cnf( q(s8) )],[refute_0_50,clause_9]) ).
cnf(refute_0_52,plain,
( ~ n7
| n10
| n2
| n4 ),
inference(resolve,[$cnf( n8 )],[refute_0_51,clause_33]) ).
cnf(refute_0_53,plain,
( n10
| n2
| n4 ),
inference(resolve,[$cnf( n7 )],[refute_0_15,refute_0_52]) ).
cnf(refute_0_54,plain,
( n10
| n2
| p(X6) ),
inference(resolve,[$cnf( n4 )],[refute_0_53,clause_20]) ).
cnf(refute_0_55,plain,
( n10
| n2
| p(s1(X)) ),
inference(subst,[],[refute_0_54:[bind(X6,$fot(s1(X)))]]) ).
cnf(refute_0_56,plain,
( ~ p(X)
| n1(X)
| n10
| n2 ),
inference(resolve,[$cnf( p(s1(X)) )],[refute_0_55,clause_25]) ).
cnf(refute_0_57,plain,
( ~ p(s7)
| n1(s7)
| n10
| n2 ),
inference(subst,[],[refute_0_56:[bind(X,$fot(s7))]]) ).
cnf(refute_0_58,plain,
( n1(s7)
| n10
| n2 ),
inference(resolve,[$cnf( p(s7) )],[refute_0_16,refute_0_57]) ).
cnf(refute_0_59,plain,
( n10
| n2 ),
inference(resolve,[$cnf( n1(s7) )],[refute_0_58,refute_0_6]) ).
cnf(refute_0_60,plain,
( n10
| n3
| n9 ),
inference(resolve,[$cnf( n2 )],[refute_0_59,refute_0_29]) ).
cnf(refute_0_61,plain,
( ~ n4
| n10
| n3 ),
inference(resolve,[$cnf( n9 )],[refute_0_60,clause_32]) ).
cnf(refute_0_62,plain,
( n1(s2)
| n10 ),
inference(resolve,[$cnf( n2 )],[refute_0_59,clause_24]) ).
cnf(refute_0_63,plain,
( ~ q(X_6)
| n3 ),
inference(subst,[],[clause_21:[bind(X5,$fot(X_6))]]) ).
cnf(refute_0_64,plain,
( n10
| n7
| q(X10) ),
inference(resolve,[$cnf( n8 )],[clause_34,clause_10]) ).
cnf(refute_0_65,plain,
( n10
| n7
| q(X_6) ),
inference(subst,[],[refute_0_64:[bind(X10,$fot(X_6))]]) ).
cnf(refute_0_66,plain,
( n10
| n3
| n7 ),
inference(resolve,[$cnf( q(X_6) )],[refute_0_65,refute_0_63]) ).
cnf(refute_0_67,plain,
( n10
| n3
| p(s7) ),
inference(resolve,[$cnf( n7 )],[refute_0_66,clause_12]) ).
cnf(refute_0_68,plain,
( ~ n1(X_23)
| ~ p(s7)
| p(X_23) ),
inference(subst,[],[clause_28:[bind(X,$fot(X_23)),bind(X3,$fot(s7))]]) ).
cnf(refute_0_69,plain,
( ~ n1(X_23)
| n10
| n3
| p(X_23) ),
inference(resolve,[$cnf( p(s7) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ n1(s2)
| n10
| n3
| p(s2) ),
inference(subst,[],[refute_0_69:[bind(X_23,$fot(s2))]]) ).
cnf(refute_0_71,plain,
( n10
| n3
| p(s2) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_62,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ n1(s2)
| n10
| n3
| p(X3) ),
inference(resolve,[$cnf( p(s2) )],[refute_0_71,refute_0_2]) ).
cnf(refute_0_73,plain,
( ~ n1(s2)
| n10
| n3
| p(X_45) ),
inference(subst,[],[refute_0_72:[bind(X3,$fot(X_45))]]) ).
cnf(refute_0_74,plain,
( n10
| n3
| p(X_45) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_62,refute_0_73]) ).
cnf(refute_0_75,plain,
( n10
| n3
| p(s4) ),
inference(subst,[],[refute_0_74:[bind(X_45,$fot(s4))]]) ).
cnf(refute_0_76,plain,
( n10
| n3
| n4 ),
inference(resolve,[$cnf( p(s4) )],[refute_0_75,clause_19]) ).
cnf(refute_0_77,plain,
( n10
| n3 ),
inference(resolve,[$cnf( n4 )],[refute_0_76,refute_0_61]) ).
cnf(refute_0_78,plain,
( ~ n5(X_16)
| n6 ),
inference(subst,[],[clause_13:[bind(X8,$fot(X_16))]]) ).
cnf(refute_0_79,plain,
( n10
| n7
| q(X_15) ),
inference(subst,[],[refute_0_64:[bind(X10,$fot(X_15))]]) ).
cnf(refute_0_80,plain,
( n10
| n7
| q(s5(X_11)) ),
inference(subst,[],[refute_0_64:[bind(X10,$fot(s5(X_11)))]]) ).
cnf(refute_0_81,plain,
( ~ q(X_11)
| ~ q(s5(X_11))
| n5(X_11) ),
inference(subst,[],[clause_15:[bind(W,$fot(X_11))]]) ).
cnf(refute_0_82,plain,
( ~ q(X_11)
| n10
| n5(X_11)
| n7 ),
inference(resolve,[$cnf( q(s5(X_11)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ q(X_15)
| n10
| n5(X_15)
| n7 ),
inference(subst,[],[refute_0_82:[bind(X_11,$fot(X_15))]]) ).
cnf(refute_0_84,plain,
( n10
| n5(X_15)
| n7 ),
inference(resolve,[$cnf( q(X_15) )],[refute_0_79,refute_0_83]) ).
cnf(refute_0_85,plain,
( n10
| n5(X_16)
| n7 ),
inference(subst,[],[refute_0_84:[bind(X_15,$fot(X_16))]]) ).
cnf(refute_0_86,plain,
( n10
| n6
| n7 ),
inference(resolve,[$cnf( n5(X_16) )],[refute_0_85,refute_0_78]) ).
cnf(refute_0_87,plain,
( n10
| n6
| p(s7) ),
inference(resolve,[$cnf( n7 )],[refute_0_86,clause_12]) ).
cnf(refute_0_88,plain,
( ~ n1(X_23)
| n10
| n6
| p(X_23) ),
inference(resolve,[$cnf( p(s7) )],[refute_0_87,refute_0_68]) ).
cnf(refute_0_89,plain,
( ~ n1(s2)
| n10
| n6
| p(s2) ),
inference(subst,[],[refute_0_88:[bind(X_23,$fot(s2))]]) ).
cnf(refute_0_90,plain,
( n10
| n6
| p(s2) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_62,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ n1(s2)
| n10
| n6
| p(X3) ),
inference(resolve,[$cnf( p(s2) )],[refute_0_90,refute_0_2]) ).
cnf(refute_0_92,plain,
( ~ n1(s2)
| n10
| n6
| p(X_49) ),
inference(subst,[],[refute_0_91:[bind(X3,$fot(X_49))]]) ).
cnf(refute_0_93,plain,
( n10
| n6
| p(X_49) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_62,refute_0_92]) ).
cnf(refute_0_94,plain,
( n10
| n6
| p(s4) ),
inference(subst,[],[refute_0_93:[bind(X_49,$fot(s4))]]) ).
cnf(refute_0_95,plain,
( n10
| n4
| n6 ),
inference(resolve,[$cnf( p(s4) )],[refute_0_94,clause_19]) ).
cnf(refute_0_96,plain,
( ~ n2
| n10
| n4
| n9 ),
inference(resolve,[$cnf( n6 )],[refute_0_95,clause_5]) ).
cnf(refute_0_97,plain,
( n10
| n4
| n9 ),
inference(resolve,[$cnf( n2 )],[refute_0_59,refute_0_96]) ).
cnf(refute_0_98,plain,
( ~ n3
| n10
| n4 ),
inference(resolve,[$cnf( n9 )],[refute_0_97,clause_31]) ).
cnf(refute_0_99,plain,
( n10
| n4 ),
inference(resolve,[$cnf( n3 )],[refute_0_77,refute_0_98]) ).
cnf(refute_0_100,plain,
( n10
| p(X6) ),
inference(resolve,[$cnf( n4 )],[refute_0_99,clause_20]) ).
cnf(refute_0_101,plain,
( n10
| p(X_51) ),
inference(subst,[],[refute_0_100:[bind(X6,$fot(X_51))]]) ).
cnf(refute_0_102,plain,
( n10
| n7 ),
inference(resolve,[$cnf( p(X_51) )],[refute_0_101,refute_0_19]) ).
cnf(refute_0_103,plain,
( ~ n3
| n10
| n9 ),
inference(resolve,[$cnf( n4 )],[refute_0_99,clause_29]) ).
cnf(refute_0_104,plain,
( n10
| n9 ),
inference(resolve,[$cnf( n3 )],[refute_0_77,refute_0_103]) ).
cnf(refute_0_105,plain,
( ~ n2
| n10
| n6 ),
inference(resolve,[$cnf( n9 )],[refute_0_104,clause_2]) ).
cnf(refute_0_106,plain,
( n10
| n6 ),
inference(resolve,[$cnf( n2 )],[refute_0_59,refute_0_105]) ).
cnf(refute_0_107,plain,
( n10
| n5(s6) ),
inference(resolve,[$cnf( n6 )],[refute_0_106,clause_14]) ).
cnf(refute_0_108,plain,
( n10
| q(s3) ),
inference(resolve,[$cnf( n3 )],[refute_0_77,clause_22]) ).
cnf(refute_0_109,plain,
( ~ n5(W)
| n10
| q(W) ),
inference(resolve,[$cnf( q(s3) )],[refute_0_108,refute_0_42]) ).
cnf(refute_0_110,plain,
( ~ n5(s6)
| n10
| q(s6) ),
inference(subst,[],[refute_0_109:[bind(W,$fot(s6))]]) ).
cnf(refute_0_111,plain,
( n10
| q(s6) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( ~ n5(s6)
| n10
| q(X7) ),
inference(resolve,[$cnf( q(s6) )],[refute_0_111,refute_0_41]) ).
cnf(refute_0_113,plain,
( ~ n5(s6)
| n10
| q(X_52) ),
inference(subst,[],[refute_0_112:[bind(X7,$fot(X_52))]]) ).
cnf(refute_0_114,plain,
( n10
| q(X_52) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
( n10
| q(s8) ),
inference(subst,[],[refute_0_114:[bind(X_52,$fot(s8))]]) ).
cnf(refute_0_116,plain,
( n10
| n8 ),
inference(resolve,[$cnf( q(s8) )],[refute_0_115,clause_9]) ).
cnf(refute_0_117,plain,
( ~ n7
| n10 ),
inference(resolve,[$cnf( n8 )],[refute_0_116,clause_33]) ).
cnf(refute_0_118,plain,
n10,
inference(resolve,[$cnf( n7 )],[refute_0_102,refute_0_117]) ).
cnf(refute_0_119,plain,
( n2
| n8 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_18]) ).
cnf(refute_0_120,plain,
( n2
| q(X10) ),
inference(resolve,[$cnf( n8 )],[refute_0_119,clause_10]) ).
cnf(refute_0_121,plain,
( n2
| q(X_54) ),
inference(subst,[],[refute_0_120:[bind(X10,$fot(X_54))]]) ).
cnf(refute_0_122,plain,
( n2
| n3 ),
inference(resolve,[$cnf( q(X_54) )],[refute_0_121,refute_0_17]) ).
cnf(refute_0_123,plain,
( ~ n5(X_56)
| n6 ),
inference(subst,[],[clause_13:[bind(X8,$fot(X_56))]]) ).
cnf(refute_0_124,plain,
( n2
| q(X_55) ),
inference(subst,[],[refute_0_120:[bind(X10,$fot(X_55))]]) ).
cnf(refute_0_125,plain,
( n2
| q(s5(W)) ),
inference(subst,[],[refute_0_120:[bind(X10,$fot(s5(W)))]]) ).
cnf(refute_0_126,plain,
( ~ q(W)
| n2
| n5(W) ),
inference(resolve,[$cnf( q(s5(W)) )],[refute_0_125,clause_15]) ).
cnf(refute_0_127,plain,
( ~ q(X_55)
| n2
| n5(X_55) ),
inference(subst,[],[refute_0_126:[bind(W,$fot(X_55))]]) ).
cnf(refute_0_128,plain,
( n2
| n5(X_55) ),
inference(resolve,[$cnf( q(X_55) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( n2
| n5(X_56) ),
inference(subst,[],[refute_0_128:[bind(X_55,$fot(X_56))]]) ).
cnf(refute_0_130,plain,
( n2
| n6 ),
inference(resolve,[$cnf( n5(X_56) )],[refute_0_129,refute_0_123]) ).
cnf(refute_0_131,plain,
( ~ n10
| n2
| n9 ),
inference(resolve,[$cnf( n6 )],[refute_0_130,clause_3]) ).
cnf(refute_0_132,plain,
( n2
| n9 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ n3
| n2
| n4 ),
inference(resolve,[$cnf( n9 )],[refute_0_132,clause_31]) ).
cnf(refute_0_134,plain,
( n2
| n4 ),
inference(resolve,[$cnf( n3 )],[refute_0_122,refute_0_133]) ).
cnf(refute_0_135,plain,
( n2
| p(X6) ),
inference(resolve,[$cnf( n4 )],[refute_0_134,clause_20]) ).
cnf(refute_0_136,plain,
( n2
| p(s1(X)) ),
inference(subst,[],[refute_0_135:[bind(X6,$fot(s1(X)))]]) ).
cnf(refute_0_137,plain,
( ~ p(X)
| n1(X)
| n2 ),
inference(resolve,[$cnf( p(s1(X)) )],[refute_0_136,clause_25]) ).
cnf(refute_0_138,plain,
( ~ p(s7)
| n1(s7)
| n2 ),
inference(subst,[],[refute_0_137:[bind(X,$fot(s7))]]) ).
cnf(refute_0_139,plain,
( n1(s7)
| n2 ),
inference(resolve,[$cnf( p(s7) )],[refute_0_16,refute_0_138]) ).
cnf(refute_0_140,plain,
n2,
inference(resolve,[$cnf( n1(s7) )],[refute_0_139,refute_0_6]) ).
cnf(refute_0_141,plain,
n1(s2),
inference(resolve,[$cnf( n2 )],[refute_0_140,clause_24]) ).
cnf(refute_0_142,plain,
( n1(X)
| p(X)
| p(s2) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_141,refute_0_5]) ).
cnf(refute_0_143,plain,
( n1(X_68)
| p(X_68)
| p(s2) ),
inference(subst,[],[refute_0_142:[bind(X,$fot(X_68))]]) ).
cnf(refute_0_144,plain,
( ~ n1(s2)
| n1(X_68)
| p(X3)
| p(X_68) ),
inference(resolve,[$cnf( p(s2) )],[refute_0_143,refute_0_2]) ).
cnf(refute_0_145,plain,
( n1(X_68)
| p(X3)
| p(X_68) ),
inference(resolve,[$cnf( n1(s2) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( n1(s4)
| p(s4) ),
inference(subst,[],[refute_0_145:[bind(X3,$fot(s4)),bind(X_68,$fot(s4))]]) ).
cnf(refute_0_147,plain,
( n1(s4)
| n4 ),
inference(resolve,[$cnf( p(s4) )],[refute_0_146,clause_19]) ).
cnf(refute_0_148,plain,
( ~ n1(X)
| ~ p(s7)
| p(X) ),
inference(subst,[],[clause_28:[bind(X3,$fot(s7))]]) ).
cnf(refute_0_149,plain,
( ~ n10
| n6
| n9 ),
inference(resolve,[$cnf( n2 )],[refute_0_140,clause_6]) ).
cnf(refute_0_150,plain,
( n6
| n9 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_149]) ).
cnf(refute_0_151,plain,
( ~ n3
| n4
| n6 ),
inference(resolve,[$cnf( n9 )],[refute_0_150,clause_31]) ).
cnf(refute_0_152,plain,
( ~ q(X_60)
| n3 ),
inference(subst,[],[clause_21:[bind(X5,$fot(X_60))]]) ).
cnf(refute_0_153,plain,
( ~ p(X_59)
| n7 ),
inference(subst,[],[clause_11:[bind(X9,$fot(X_59))]]) ).
cnf(refute_0_154,plain,
( ~ n10
| ~ n2
| ~ n6
| n3
| n4 ),
inference(resolve,[$cnf( n9 )],[clause_30,clause_1]) ).
cnf(refute_0_155,plain,
( ~ n10
| ~ n2
| n3
| n4 ),
inference(resolve,[$cnf( n6 )],[refute_0_28,refute_0_154]) ).
cnf(refute_0_156,plain,
( ~ n10
| n3
| n4 ),
inference(resolve,[$cnf( n2 )],[refute_0_140,refute_0_155]) ).
cnf(refute_0_157,plain,
( n3
| n4 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_156]) ).
cnf(refute_0_158,plain,
( n3
| p(X6) ),
inference(resolve,[$cnf( n4 )],[refute_0_157,clause_20]) ).
cnf(refute_0_159,plain,
( n3
| p(X_59) ),
inference(subst,[],[refute_0_158:[bind(X6,$fot(X_59))]]) ).
cnf(refute_0_160,plain,
( n3
| n7 ),
inference(resolve,[$cnf( p(X_59) )],[refute_0_159,refute_0_153]) ).
cnf(refute_0_161,plain,
( ~ n10
| n3
| n8 ),
inference(resolve,[$cnf( n7 )],[refute_0_160,clause_35]) ).
cnf(refute_0_162,plain,
( n3
| n8 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_161]) ).
cnf(refute_0_163,plain,
( n3
| q(X10) ),
inference(resolve,[$cnf( n8 )],[refute_0_162,clause_10]) ).
cnf(refute_0_164,plain,
( n3
| q(X_60) ),
inference(subst,[],[refute_0_163:[bind(X10,$fot(X_60))]]) ).
cnf(refute_0_165,plain,
n3,
inference(resolve,[$cnf( q(X_60) )],[refute_0_164,refute_0_152]) ).
cnf(refute_0_166,plain,
( n4
| n6 ),
inference(resolve,[$cnf( n3 )],[refute_0_165,refute_0_151]) ).
cnf(refute_0_167,plain,
( n4
| n5(s6) ),
inference(resolve,[$cnf( n6 )],[refute_0_166,clause_14]) ).
cnf(refute_0_168,plain,
q(s3),
inference(resolve,[$cnf( n3 )],[refute_0_165,clause_22]) ).
cnf(refute_0_169,plain,
( ~ n5(W)
| q(W) ),
inference(resolve,[$cnf( q(s3) )],[refute_0_168,refute_0_42]) ).
cnf(refute_0_170,plain,
( ~ n5(s6)
| q(s6) ),
inference(subst,[],[refute_0_169:[bind(W,$fot(s6))]]) ).
cnf(refute_0_171,plain,
( n4
| q(s6) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( ~ n5(s6)
| n4
| q(X7) ),
inference(resolve,[$cnf( q(s6) )],[refute_0_171,refute_0_41]) ).
cnf(refute_0_173,plain,
( ~ n5(s6)
| n4
| q(X_63) ),
inference(subst,[],[refute_0_172:[bind(X7,$fot(X_63))]]) ).
cnf(refute_0_174,plain,
( n4
| q(X_63) ),
inference(resolve,[$cnf( n5(s6) )],[refute_0_167,refute_0_173]) ).
cnf(refute_0_175,plain,
( n4
| q(s8) ),
inference(subst,[],[refute_0_174:[bind(X_63,$fot(s8))]]) ).
cnf(refute_0_176,plain,
( n4
| n8 ),
inference(resolve,[$cnf( q(s8) )],[refute_0_175,clause_9]) ).
cnf(refute_0_177,plain,
( ~ n10
| n4
| n7 ),
inference(resolve,[$cnf( n8 )],[refute_0_176,clause_36]) ).
cnf(refute_0_178,plain,
( n4
| n7 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_177]) ).
cnf(refute_0_179,plain,
( n4
| p(s7) ),
inference(resolve,[$cnf( n7 )],[refute_0_178,clause_12]) ).
cnf(refute_0_180,plain,
( ~ n1(X)
| n4
| p(X) ),
inference(resolve,[$cnf( p(s7) )],[refute_0_179,refute_0_148]) ).
cnf(refute_0_181,plain,
( ~ n1(s4)
| n4
| p(s4) ),
inference(subst,[],[refute_0_180:[bind(X,$fot(s4))]]) ).
cnf(refute_0_182,plain,
( n4
| p(s4) ),
inference(resolve,[$cnf( n1(s4) )],[refute_0_147,refute_0_181]) ).
cnf(refute_0_183,plain,
n4,
inference(resolve,[$cnf( p(s4) )],[refute_0_182,clause_19]) ).
cnf(refute_0_184,plain,
p(X6),
inference(resolve,[$cnf( n4 )],[refute_0_183,clause_20]) ).
cnf(refute_0_185,plain,
p(X_71),
inference(subst,[],[refute_0_184:[bind(X6,$fot(X_71))]]) ).
cnf(refute_0_186,plain,
n7,
inference(resolve,[$cnf( p(X_71) )],[refute_0_185,refute_0_1]) ).
cnf(refute_0_187,plain,
( ~ n10
| n8 ),
inference(resolve,[$cnf( n7 )],[refute_0_186,clause_35]) ).
cnf(refute_0_188,plain,
n8,
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_187]) ).
cnf(refute_0_189,plain,
q(X10),
inference(resolve,[$cnf( n8 )],[refute_0_188,clause_10]) ).
cnf(refute_0_190,plain,
q(s5(W)),
inference(subst,[],[refute_0_189:[bind(X10,$fot(s5(W)))]]) ).
cnf(refute_0_191,plain,
( ~ q(W)
| n5(W) ),
inference(resolve,[$cnf( q(s5(W)) )],[refute_0_190,clause_15]) ).
cnf(refute_0_192,plain,
q(W),
inference(subst,[],[refute_0_189:[bind(X10,$fot(W))]]) ).
cnf(refute_0_193,plain,
n5(W),
inference(resolve,[$cnf( q(W) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
n5(X_74),
inference(subst,[],[refute_0_193:[bind(W,$fot(X_74))]]) ).
cnf(refute_0_195,plain,
n6,
inference(resolve,[$cnf( n5(X_74) )],[refute_0_194,refute_0_0]) ).
cnf(refute_0_196,plain,
( ~ n3
| n9 ),
inference(resolve,[$cnf( n4 )],[refute_0_183,clause_29]) ).
cnf(refute_0_197,plain,
n9,
inference(resolve,[$cnf( n3 )],[refute_0_165,refute_0_196]) ).
cnf(refute_0_198,plain,
( ~ n10
| ~ n2
| ~ n6 ),
inference(resolve,[$cnf( n9 )],[refute_0_197,clause_1]) ).
cnf(refute_0_199,plain,
( ~ n2
| ~ n6 ),
inference(resolve,[$cnf( n10 )],[refute_0_118,refute_0_198]) ).
cnf(refute_0_200,plain,
~ n6,
inference(resolve,[$cnf( n2 )],[refute_0_140,refute_0_199]) ).
cnf(refute_0_201,plain,
$false,
inference(resolve,[$cnf( n6 )],[refute_0_195,refute_0_200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n013.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 23:09:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.41
%------------------------------------------------------------------------------