TSTP Solution File: SYN692-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN692-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n008.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 : Fri Sep  1 01:46:58 EDT 2023

% Result   : Unsatisfiable 0.20s 0.71s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN692-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34  % Computer : n008.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sat Aug 26 16:59:18 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.20/0.55  start to proof:theBenchmark
% 0.20/0.70  %-------------------------------------------
% 0.20/0.70  % File        :CSE---1.6
% 0.20/0.70  % Problem     :theBenchmark
% 0.20/0.70  % Transform   :cnf
% 0.20/0.70  % Format      :tptp:raw
% 0.20/0.70  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.70  
% 0.20/0.70  % Result      :Theorem 0.090000s
% 0.20/0.70  % Output      :CNFRefutation 0.090000s
% 0.20/0.70  %-------------------------------------------
% 0.20/0.70  %--------------------------------------------------------------------------
% 0.20/0.70  % File     : SYN692-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.70  % Domain   : Syntactic
% 0.20/0.70  % Problem  : Harrison problem 4626
% 0.20/0.70  % Version  : Especial.
% 0.20/0.70  % English  :
% 0.20/0.70  
% 0.20/0.70  % Refs     : [Har01] Email to G. Sutcliffe
% 0.20/0.70  % Source   : [Har01]
% 0.20/0.70  % Names    :
% 0.20/0.70  
% 0.20/0.70  % Status   : Unsatisfiable
% 0.20/0.70  % Rating   : 0.14 v8.1.0, 0.00 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 0.20/0.70  % Syntax   : Number of clauses     :   68 (  26 unt;   2 nHn;  58 RR)
% 0.20/0.70  %            Number of literals    :  148 (   0 equ;  80 neg)
% 0.20/0.70  %            Maximal clause size   :    5 (   2 avg)
% 0.20/0.70  %            Maximal term depth    :    6 (   1 avg)
% 0.20/0.70  %            Number of predicates  :   18 (  18 usr;   0 prp; 1-3 aty)
% 0.20/0.70  %            Number of functors    :   26 (  26 usr;  12 con; 0-2 aty)
% 0.20/0.70  %            Number of variables   :  131 (   5 sgn)
% 0.20/0.70  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 0.20/0.70  
% 0.20/0.70  % Comments :
% 0.20/0.70  %--------------------------------------------------------------------------
% 0.20/0.70  cnf(c34_is_p25_1,negated_conjecture,
% 0.20/0.70      p25(c34) ).
% 0.20/0.70  
% 0.20/0.70  cnf(c36_is_p29_2,negated_conjecture,
% 0.20/0.70      p29(c36) ).
% 0.20/0.70  
% 0.20/0.70  cnf(f18_is_p30_3,negated_conjecture,
% 0.20/0.70      p30(f18(c41)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(f16_is_p28_4,negated_conjecture,
% 0.20/0.70      p28(f16(c38)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(f16_is_p28_5,negated_conjecture,
% 0.20/0.70      p28(f16(c39)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(f18_is_p30_6,negated_conjecture,
% 0.20/0.70      p30(f18(c40)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p10_7,negated_conjecture,
% 0.20/0.70      p10(X5,X5) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p7_8,negated_conjecture,
% 0.20/0.70      p7(X111,X111) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p6_9,negated_conjecture,
% 0.20/0.70      p6(X108,X108) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p3_10,negated_conjecture,
% 0.20/0.70      p3(X87,X87) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p21_11,negated_conjecture,
% 0.20/0.70      p21(X67,X67) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p2_12,negated_conjecture,
% 0.20/0.70      p2(X43,X43) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p17_13,negated_conjecture,
% 0.20/0.70      p17(X28,X28) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p14_14,negated_conjecture,
% 0.20/0.70      p14(X19,X19) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p12_15,negated_conjecture,
% 0.20/0.70      p12(X12,X12) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p2_16,negated_conjecture,
% 0.20/0.70      p2(c44,c45) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p31_17,negated_conjecture,
% 0.20/0.70      p31(c45,f5(c42)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p31_18,negated_conjecture,
% 0.20/0.70      p31(c44,f5(c42)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p7_19,negated_conjecture,
% 0.20/0.70      p7(f8(c35),c36) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p31_20,negated_conjecture,
% 0.20/0.70      p31(f23(c44,f9(f20(c37))),c45) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p26_21,negated_conjecture,
% 0.20/0.70      p26(c34,f4(f5(X78)),f4(X78)) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p25_22,negated_conjecture,
% 0.20/0.70      ( p25(X70)
% 0.20/0.70      | ~ p25(X71)
% 0.20/0.70      | ~ p21(X71,X70) ) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p30_23,negated_conjecture,
% 0.20/0.70      ( p30(X92)
% 0.20/0.70      | ~ p30(X93)
% 0.20/0.70      | ~ p17(X93,X92) ) ).
% 0.20/0.70  
% 0.20/0.70  cnf(p29_24,negated_conjecture,
% 0.20/0.70      ( p29(X85)
% 0.20/0.70      | ~ p29(X86)
% 0.20/0.70      | ~ p7(X86,X85) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p28_25,negated_conjecture,
% 0.20/0.71      ( p28(X83)
% 0.20/0.71      | ~ p28(X84)
% 0.20/0.71      | ~ p14(X84,X83) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p7_26,negated_conjecture,
% 0.20/0.71      ( p7(f8(X114),f8(X115))
% 0.20/0.71      | ~ p6(X114,X115) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p14_27,negated_conjecture,
% 0.20/0.71      ( p14(f16(X26),f16(X27))
% 0.20/0.71      | ~ p14(X26,X27) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p17_28,negated_conjecture,
% 0.20/0.71      ( p17(f18(X31),f18(X32))
% 0.20/0.71      | ~ p17(X31,X32) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_29,negated_conjecture,
% 0.20/0.71      ( p2(f20(X55),f20(X56))
% 0.20/0.71      | ~ p2(X55,X56) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_30,negated_conjecture,
% 0.20/0.71      ( p2(f24(X61),f24(X62))
% 0.20/0.71      | ~ p2(X61,X62) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_31,negated_conjecture,
% 0.20/0.71      ( p2(f5(X63),f5(X64))
% 0.20/0.71      | ~ p2(X63,X64) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_32,negated_conjecture,
% 0.20/0.71      ( p2(f9(X65),f9(X66))
% 0.20/0.71      | ~ p2(X65,X66) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p3_33,negated_conjecture,
% 0.20/0.71      ( p3(f4(X90),f4(X91))
% 0.20/0.71      | ~ p2(X90,X91) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p10_34,negated_conjecture,
% 0.20/0.71      ( p10(X6,X7)
% 0.20/0.71      | ~ p10(X5,X6)
% 0.20/0.71      | ~ p10(X5,X7) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p7_35,negated_conjecture,
% 0.20/0.71      ( p7(X112,X113)
% 0.20/0.71      | ~ p7(X111,X112)
% 0.20/0.71      | ~ p7(X111,X113) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p6_36,negated_conjecture,
% 0.20/0.71      ( p6(X109,X110)
% 0.20/0.71      | ~ p6(X108,X109)
% 0.20/0.71      | ~ p6(X108,X110) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p3_37,negated_conjecture,
% 0.20/0.71      ( p3(X88,X89)
% 0.20/0.71      | ~ p3(X87,X88)
% 0.20/0.71      | ~ p3(X87,X89) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p21_38,negated_conjecture,
% 0.20/0.71      ( p21(X68,X69)
% 0.20/0.71      | ~ p21(X67,X68)
% 0.20/0.71      | ~ p21(X67,X69) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_39,negated_conjecture,
% 0.20/0.71      ( p2(X44,X45)
% 0.20/0.71      | ~ p2(X43,X44)
% 0.20/0.71      | ~ p2(X43,X45) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p17_40,negated_conjecture,
% 0.20/0.71      ( p17(X29,X30)
% 0.20/0.71      | ~ p17(X28,X29)
% 0.20/0.71      | ~ p17(X28,X30) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p14_41,negated_conjecture,
% 0.20/0.71      ( p14(X20,X21)
% 0.20/0.71      | ~ p14(X19,X20)
% 0.20/0.71      | ~ p14(X19,X21) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p12_42,negated_conjecture,
% 0.20/0.71      ( p12(X13,X14)
% 0.20/0.71      | ~ p12(X12,X13)
% 0.20/0.71      | ~ p12(X12,X14) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p31_43,negated_conjecture,
% 0.20/0.71      p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p31_44,negated_conjecture,
% 0.20/0.71      ( p31(X94,f24(X94))
% 0.20/0.71      | ~ p31(X94,c44)
% 0.20/0.71      | ~ p31(X94,f5(c42)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p31_45,negated_conjecture,
% 0.20/0.71      ( p31(f24(X94),f5(c42))
% 0.20/0.71      | ~ p31(X94,c44)
% 0.20/0.71      | ~ p31(X94,f5(c42)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p33_46,negated_conjecture,
% 0.20/0.71      ( p33(X104,X105)
% 0.20/0.71      | ~ p2(X107,X105)
% 0.20/0.71      | ~ p33(X106,X107)
% 0.20/0.71      | ~ p2(X106,X104) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p27_47,negated_conjecture,
% 0.20/0.71      ( p27(X79,X80)
% 0.20/0.71      | ~ p14(X82,X79)
% 0.20/0.71      | ~ p27(X82,X81)
% 0.20/0.71      | ~ p12(X81,X80) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p31_48,negated_conjecture,
% 0.20/0.71      ( p31(X95,X96)
% 0.20/0.71      | ~ p2(X98,X96)
% 0.20/0.71      | ~ p31(X97,X98)
% 0.20/0.71      | ~ p2(X97,X95) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p32_49,negated_conjecture,
% 0.20/0.71      ( p32(X99,X100)
% 0.20/0.71      | ~ p17(X102,X99)
% 0.20/0.71      | ~ p32(X102,X101)
% 0.20/0.71      | ~ p10(X101,X100) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_50,negated_conjecture,
% 0.20/0.71      p2(f11(f4(c42),c43),f11(f4(f23(c42,f9(f20(c37)))),c43)) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_51,negated_conjecture,
% 0.20/0.71      p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)) ).
% 0.20/0.71  
% 0.20/0.71  cnf(not_p2_52,negated_conjecture,
% 0.20/0.71      ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p10_53,negated_conjecture,
% 0.20/0.71      ( p10(X0,c43)
% 0.20/0.71      | ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p12_54,negated_conjecture,
% 0.20/0.71      ( p12(f13(X15,X16),f13(X17,X18))
% 0.20/0.71      | ~ p10(X15,X17)
% 0.20/0.71      | ~ p2(X16,X18) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_55,negated_conjecture,
% 0.20/0.71      ( p2(f23(X57,X58),f23(X59,X60))
% 0.20/0.71      | ~ p2(X57,X59)
% 0.20/0.71      | ~ p2(X58,X60) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_56,negated_conjecture,
% 0.20/0.71      ( p2(f19(X51,X52),f19(X53,X54))
% 0.20/0.71      | ~ p2(X51,X53)
% 0.20/0.71      | ~ p2(X52,X54) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_57,negated_conjecture,
% 0.20/0.71      ( p2(f11(X46,X47),f11(X48,X49))
% 0.20/0.71      | ~ p10(X47,X49)
% 0.20/0.71      | ~ p3(X46,X48) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p17_58,negated_conjecture,
% 0.20/0.71      ( p17(f22(X33,X34),f22(X35,X36))
% 0.20/0.71      | ~ p10(X34,X36)
% 0.20/0.71      | ~ p21(X33,X35) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p14_59,negated_conjecture,
% 0.20/0.71      ( p14(f15(X22,X23),f15(X24,X25))
% 0.20/0.71      | ~ p12(X23,X25)
% 0.20/0.71      | ~ p7(X22,X24) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_60,negated_conjecture,
% 0.20/0.71      p2(f19(f11(f4(f5(c42)),c43),f9(f20(c37))),f11(f4(c42),c43)) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p32_61,negated_conjecture,
% 0.20/0.71      ( p32(f22(c34,X103),c43)
% 0.20/0.71      | ~ p33(f11(f4(f5(c42)),X103),f11(f4(c42),X103)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_62,negated_conjecture,
% 0.20/0.71      ( p2(f11(f4(X50),c43),f11(f4(c44),c43))
% 0.20/0.71      | ~ p31(c44,X50)
% 0.20/0.71      | ~ p31(X50,f5(c42)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p10_63,negated_conjecture,
% 0.20/0.71      ( p10(X1,X2)
% 0.20/0.71      | p32(f22(c34,X1),X2)
% 0.20/0.71      | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(not_p31_64,negated_conjecture,
% 0.20/0.71      ( ~ p31(X94,c44)
% 0.20/0.71      | ~ p31(X94,f5(c42))
% 0.20/0.71      | ~ p2(f11(f4(f24(X94)),c43),f11(f4(X94),c43)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p26_65,negated_conjecture,
% 0.20/0.71      ( p26(X72,X73,X74)
% 0.20/0.71      | ~ p3(X77,X74)
% 0.20/0.71      | ~ p3(X76,X73)
% 0.20/0.71      | ~ p21(X75,X72)
% 0.20/0.71      | ~ p26(X75,X76,X77) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p10_66,negated_conjecture,
% 0.20/0.71      ( p10(X8,X9)
% 0.20/0.71      | ~ p2(f11(f4(X10),X8),f9(c37))
% 0.20/0.71      | ~ p27(f15(c36,f13(X8,X10)),f13(X9,X11)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p2_67,negated_conjecture,
% 0.20/0.71      ( p2(X37,X38)
% 0.20/0.71      | ~ p27(f15(c36,f13(X39,X37)),f13(X40,X41))
% 0.20/0.71      | ~ p27(f15(c36,f13(X42,X38)),f13(X40,X41)) ) ).
% 0.20/0.71  
% 0.20/0.71  cnf(p32_68,negated_conjecture,
% 0.20/0.71      ( p32(f22(c34,X1),X2)
% 0.20/0.71      | p31(f11(f4(X3),X2),f11(f4(X4),X2))
% 0.20/0.71      | ~ p27(f15(c36,f13(X1,X3)),f13(X2,X4)) ) ).
% 0.20/0.71  
% 0.20/0.71  %--------------------------------------------------------------------------
% 0.20/0.71  %-------------------------------------------
% 0.20/0.71  % Proof found
% 0.20/0.71  % SZS status Theorem for theBenchmark
% 0.20/0.71  % SZS output start Proof
% 0.20/0.71  %ClaNum:68(EqnAxiom:0)
% 0.20/0.71  %VarNum:270(SingletonVarNum:131)
% 0.20/0.71  %MaxLitNum:5
% 0.20/0.71  %MaxfuncDepth:5
% 0.20/0.71  %SharedTerms:52
% 0.20/0.71  %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68
% 0.20/0.71  %singleGoalClaCount:26
% 0.20/0.71  [1]P1(a1)
% 0.20/0.71  [2]P8(a2)
% 0.20/0.71  [7]P2(a11,a14)
% 0.20/0.71  [3]P12(f9(a4))
% 0.20/0.71  [4]P12(f9(a5))
% 0.20/0.71  [5]P9(f10(a6))
% 0.20/0.71  [6]P9(f10(a8))
% 0.20/0.71  [17]P16(a11,f18(a12))
% 0.20/0.71  [18]P16(a14,f18(a12))
% 0.20/0.71  [19]P14(f25(a3),a2)
% 0.20/0.71  [20]P16(f21(a11,f26(f19(a7))),a14)
% 0.20/0.71  [22]P16(f15(f23(f18(a12)),a13),f15(f23(a12),a13))
% 0.20/0.71  [23]P2(f20(f15(f23(f18(a12)),a13),f26(f19(a7))),f15(f23(a12),a13))
% 0.20/0.71  [24]P2(f15(f23(a12),a13),f15(f23(f21(a12,f26(f19(a7)))),a13))
% 0.20/0.71  [25]P2(f15(f23(f21(a11,f26(f19(a7)))),a13),f15(f23(a11),a13))
% 0.20/0.71  [26]~P2(f15(f23(a14),a13),f15(f23(f21(a11,f26(f19(a7)))),a13))
% 0.20/0.71  [8]P3(x81,x81)
% 0.20/0.71  [9]P14(x91,x91)
% 0.20/0.71  [10]P15(x101,x101)
% 0.20/0.71  [11]P13(x111,x111)
% 0.20/0.71  [12]P7(x121,x121)
% 0.20/0.71  [13]P2(x131,x131)
% 0.20/0.71  [14]P4(x141,x141)
% 0.20/0.71  [15]P5(x151,x151)
% 0.20/0.71  [16]P6(x161,x161)
% 0.20/0.71  [21]P10(a1,f23(f18(x211)),f23(x211))
% 0.20/0.71  [61]P3(x611,a13)+~P16(f15(f23(f18(a12)),x611),f15(f23(a12),x611))
% 0.20/0.71  [62]P18(f22(a1,x621),a13)+~P17(f15(f23(f18(a12)),x621),f15(f23(a12),x621))
% 0.20/0.71  [31]~P15(x311,x312)+P14(f25(x311),f25(x312))
% 0.20/0.71  [32]~P2(x321,x322)+P13(f23(x321),f23(x322))
% 0.20/0.71  [33]~P2(x331,x332)+P2(f18(x331),f18(x332))
% 0.20/0.71  [34]~P2(x341,x342)+P2(f19(x341),f19(x342))
% 0.20/0.71  [35]~P2(x351,x352)+P2(f26(x351),f26(x352))
% 0.20/0.71  [36]~P2(x361,x362)+P2(f24(x361),f24(x362))
% 0.20/0.71  [37]~P4(x371,x372)+P4(f9(x371),f9(x372))
% 0.20/0.71  [38]~P5(x381,x382)+P5(f10(x381),f10(x382))
% 0.20/0.71  [48]~P16(x481,a11)+P16(x481,f24(x481))+~P16(x481,f18(a12))
% 0.20/0.71  [49]~P16(x491,a11)+~P16(x491,f18(a12))+P16(f24(x491),f18(a12))
% 0.20/0.71  [60]~P16(a11,x601)+~P16(x601,f18(a12))+P2(f15(f23(x601),a13),f15(f23(a11),a13))
% 0.20/0.71  [64]~P16(x641,a11)+~P16(x641,f18(a12))+~P2(f15(f23(f24(x641)),a13),f15(f23(x641),a13))
% 0.20/0.71  [27]~P7(x272,x271)+P1(x271)+~P1(x272)
% 0.20/0.71  [28]~P14(x282,x281)+P8(x281)+~P8(x282)
% 0.20/0.71  [29]~P4(x292,x291)+P12(x291)+~P12(x292)
% 0.20/0.71  [30]~P5(x302,x301)+P9(x301)+~P9(x302)
% 0.20/0.71  [39]~P3(x393,x391)+P3(x391,x392)+~P3(x393,x392)
% 0.20/0.71  [40]~P14(x403,x401)+P14(x401,x402)+~P14(x403,x402)
% 0.20/0.71  [41]~P15(x413,x411)+P15(x411,x412)+~P15(x413,x412)
% 0.20/0.71  [42]~P13(x423,x421)+P13(x421,x422)+~P13(x423,x422)
% 0.20/0.71  [43]~P7(x433,x431)+P7(x431,x432)+~P7(x433,x432)
% 0.20/0.71  [44]~P2(x443,x441)+P2(x441,x442)+~P2(x443,x442)
% 0.20/0.71  [45]~P4(x453,x451)+P4(x451,x452)+~P4(x453,x452)
% 0.20/0.71  [46]~P5(x463,x461)+P5(x461,x462)+~P5(x463,x462)
% 0.20/0.71  [47]~P6(x473,x471)+P6(x471,x472)+~P6(x473,x472)
% 0.20/0.71  [54]~P2(x542,x544)+~P2(x541,x543)+P2(f21(x541,x542),f21(x543,x544))
% 0.20/0.71  [55]~P3(x552,x554)+~P13(x551,x553)+P2(f15(x551,x552),f15(x553,x554))
% 0.20/0.71  [56]~P2(x562,x564)+~P2(x561,x563)+P2(f20(x561,x562),f20(x563,x564))
% 0.20/0.71  [57]~P3(x572,x574)+~P7(x571,x573)+P4(f22(x571,x572),f22(x573,x574))
% 0.20/0.71  [58]~P14(x581,x583)+~P6(x582,x584)+P5(f16(x581,x582),f16(x583,x584))
% 0.20/0.71  [59]~P3(x591,x593)+~P2(x592,x594)+P6(f17(x591,x592),f17(x593,x594))
% 0.20/0.72  [65]P3(x651,x652)+P18(f22(a1,x651),x652)+~P11(f16(a2,f17(x651,x653)),f17(x652,x654))
% 0.20/0.72  [66]P3(x661,x662)+~P11(f16(a2,f17(x661,x663)),f17(x662,x664))+~P2(f15(f23(x663),x661),f26(a7))
% 0.20/0.72  [67]P18(f22(a1,x671),x672)+P16(f15(f23(x673),x672),f15(f23(x674),x672))+~P11(f16(a2,f17(x671,x673)),f17(x672,x674))
% 0.20/0.72  [68]P2(x681,x682)+~P11(f16(a2,f17(x683,x682)),f17(x684,x685))+~P11(f16(a2,f17(x686,x681)),f17(x684,x685))
% 0.20/0.72  [50]~P16(x503,x504)+P16(x501,x502)+~P2(x503,x501)+~P2(x504,x502)
% 0.20/0.72  [51]~P17(x513,x514)+P17(x511,x512)+~P2(x513,x511)+~P2(x514,x512)
% 0.20/0.72  [52]~P11(x523,x524)+P11(x521,x522)+~P5(x523,x521)+~P6(x524,x522)
% 0.20/0.72  [53]~P18(x534,x533)+P18(x531,x532)+~P3(x533,x532)+~P4(x534,x531)
% 0.20/0.72  [63]~P10(x636,x634,x635)+P10(x631,x632,x633)+~P13(x634,x632)+~P13(x635,x633)+~P7(x636,x631)
% 0.20/0.72  %EqnAxiom
% 0.20/0.72  
% 0.20/0.72  %-------------------------------------------
% 0.20/0.72  cnf(71,plain,
% 0.20/0.72     (P2(f24(a11),f24(a14))),
% 0.20/0.72     inference(scs_inference,[],[8,7,26,55,36])).
% 0.20/0.72  cnf(73,plain,
% 0.20/0.72     (P2(f26(a11),f26(a14))),
% 0.20/0.72     inference(scs_inference,[],[8,7,26,55,36,35])).
% 0.20/0.72  cnf(79,plain,
% 0.20/0.72     (P13(f23(a11),f23(a14))),
% 0.20/0.72     inference(scs_inference,[],[8,7,26,55,36,35,34,33,32])).
% 0.20/0.72  cnf(155,plain,
% 0.20/0.72     (~P2(f15(f23(f21(a11,f26(f19(a7)))),a13),f15(f23(a14),a13))),
% 0.20/0.72     inference(scs_inference,[],[26,13,44])).
% 0.20/0.72  cnf(166,plain,
% 0.20/0.72     (P2(f15(f23(a11),a13),f15(f23(f21(a11,f26(f19(a7)))),a13))),
% 0.20/0.72     inference(scs_inference,[],[25,71,13,32,44])).
% 0.20/0.72  cnf(179,plain,
% 0.20/0.72     (~P2(f15(f23(a11),a13),f15(f23(a14),a13))),
% 0.20/0.72     inference(scs_inference,[],[155,166,44])).
% 0.20/0.72  cnf(205,plain,
% 0.20/0.72     ($false),
% 0.20/0.72     inference(scs_inference,[],[73,8,179,79,59,56,54,55]),
% 0.20/0.72     ['proof']).
% 0.20/0.72  % SZS output end Proof
% 0.20/0.72  % Total time :0.090000s
%------------------------------------------------------------------------------