TSTP Solution File: SYN703-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN703-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n011.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 01:47:01 EDT 2023

% Result   : Unsatisfiable 4.15s 4.24s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN703-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n011.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    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 16:50:54 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.21/0.55  start to proof:theBenchmark
% 4.15/4.22  %-------------------------------------------
% 4.15/4.22  % File        :CSE---1.6
% 4.15/4.22  % Problem     :theBenchmark
% 4.15/4.22  % Transform   :cnf
% 4.15/4.22  % Format      :tptp:raw
% 4.15/4.22  % Command     :java -jar mcs_scs.jar %d %s
% 4.15/4.22  
% 4.15/4.22  % Result      :Theorem 3.610000s
% 4.15/4.22  % Output      :CNFRefutation 3.610000s
% 4.15/4.22  %-------------------------------------------
% 4.15/4.23  %--------------------------------------------------------------------------
% 4.15/4.23  % File     : SYN703-1 : TPTP v8.1.2. Released v2.5.0.
% 4.15/4.23  % Domain   : Syntactic
% 4.15/4.23  % Problem  : Harrison problem 4673
% 4.15/4.23  % Version  : Especial.
% 4.15/4.23  % English  :
% 4.15/4.23  
% 4.15/4.23  % Refs     : [Har01] Email to G. Sutcliffe
% 4.15/4.23  % Source   : [Har01]
% 4.15/4.23  % Names    :
% 4.15/4.23  
% 4.15/4.23  % Status   : Unsatisfiable
% 4.15/4.23  % Rating   : 0.00 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.20 v5.2.0, 0.15 v5.1.0, 0.12 v5.0.0, 0.13 v4.0.1, 0.14 v3.7.0, 0.00 v2.5.0
% 4.15/4.23  % Syntax   : Number of clauses     :   80 (  29 unt;   0 nHn;  53 RR)
% 4.15/4.23  %            Number of literals    :  178 (   0 equ; 100 neg)
% 4.15/4.23  %            Maximal clause size   :    4 (   2 avg)
% 4.15/4.23  %            Maximal term depth    :    8 (   1 avg)
% 4.15/4.23  %            Number of predicates  :   26 (  26 usr;   0 prp; 2-2 aty)
% 4.15/4.23  %            Number of functors    :   31 (  31 usr;  11 con; 0-2 aty)
% 4.15/4.23  %            Number of variables   :  215 (  10 sgn)
% 4.15/4.23  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 4.15/4.23  
% 4.15/4.23  % Comments :
% 4.15/4.23  %--------------------------------------------------------------------------
% 4.15/4.23  cnf(p9_1,negated_conjecture,
% 4.15/4.23      p9(X161,X161) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p10_2,negated_conjecture,
% 4.15/4.23      p10(X2,X2) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p12_3,negated_conjecture,
% 4.15/4.23      p12(X7,X7) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p14_4,negated_conjecture,
% 4.15/4.23      p14(X10,X10) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p15_5,negated_conjecture,
% 4.15/4.23      p15(X17,X17) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p17_6,negated_conjecture,
% 4.15/4.23      p17(X20,X20) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p19_7,negated_conjecture,
% 4.15/4.23      p19(X23,X23) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p2_8,negated_conjecture,
% 4.15/4.23      p2(X30,X30) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p21_9,negated_conjecture,
% 4.15/4.23      p21(X33,X33) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p23_10,negated_conjecture,
% 4.15/4.23      p23(X40,X40) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p25_11,negated_conjecture,
% 4.15/4.23      p25(X47,X47) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p27_12,negated_conjecture,
% 4.15/4.23      p27(X50,X50) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p29_13,negated_conjecture,
% 4.15/4.23      p29(X62,X62) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p3_14,negated_conjecture,
% 4.15/4.23      p3(X69,X69) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p31_15,negated_conjecture,
% 4.15/4.23      p31(X80,X80) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p33_16,negated_conjecture,
% 4.15/4.23      p33(X87,X87) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p35_17,negated_conjecture,
% 4.15/4.23      p35(X94,X94) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p37_18,negated_conjecture,
% 4.15/4.23      p37(X97,X97) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p39_19,negated_conjecture,
% 4.15/4.23      p39(X104,X104) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p4_20,negated_conjecture,
% 4.15/4.23      p4(X111,X111) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p41_21,negated_conjecture,
% 4.15/4.23      p41(X122,X122) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p43_22,negated_conjecture,
% 4.15/4.23      p43(X129,X129) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p45_23,negated_conjecture,
% 4.15/4.23      p45(X136,X136) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p6_24,negated_conjecture,
% 4.15/4.23      p6(X147,X147) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p7_25,negated_conjecture,
% 4.15/4.23      p7(X154,X154) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p10_26,negated_conjecture,
% 4.15/4.23      ( p10(X0,X1)
% 4.15/4.23      | ~ p10(X2,X0)
% 4.15/4.23      | ~ p10(X2,X1) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p9_27,negated_conjecture,
% 4.15/4.23      ( p9(X162,X163)
% 4.15/4.23      | ~ p9(X161,X162)
% 4.15/4.23      | ~ p9(X161,X163) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p7_28,negated_conjecture,
% 4.15/4.23      ( p7(X155,X156)
% 4.15/4.23      | ~ p7(X154,X155)
% 4.15/4.23      | ~ p7(X154,X156) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p6_29,negated_conjecture,
% 4.15/4.23      ( p6(X148,X149)
% 4.15/4.23      | ~ p6(X147,X148)
% 4.15/4.23      | ~ p6(X147,X149) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p45_30,negated_conjecture,
% 4.15/4.23      ( p45(X137,X138)
% 4.15/4.23      | ~ p45(X136,X137)
% 4.15/4.23      | ~ p45(X136,X138) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p43_31,negated_conjecture,
% 4.15/4.23      ( p43(X130,X131)
% 4.15/4.23      | ~ p43(X129,X130)
% 4.15/4.23      | ~ p43(X129,X131) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p41_32,negated_conjecture,
% 4.15/4.23      ( p41(X123,X124)
% 4.15/4.23      | ~ p41(X122,X123)
% 4.15/4.23      | ~ p41(X122,X124) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p4_33,negated_conjecture,
% 4.15/4.23      ( p4(X112,X113)
% 4.15/4.23      | ~ p4(X111,X112)
% 4.15/4.23      | ~ p4(X111,X113) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p39_34,negated_conjecture,
% 4.15/4.23      ( p39(X105,X106)
% 4.15/4.23      | ~ p39(X104,X105)
% 4.15/4.23      | ~ p39(X104,X106) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p37_35,negated_conjecture,
% 4.15/4.23      ( p37(X98,X99)
% 4.15/4.23      | ~ p37(X97,X98)
% 4.15/4.23      | ~ p37(X97,X99) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p35_36,negated_conjecture,
% 4.15/4.23      ( p35(X95,X96)
% 4.15/4.23      | ~ p35(X94,X95)
% 4.15/4.23      | ~ p35(X94,X96) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p33_37,negated_conjecture,
% 4.15/4.23      ( p33(X88,X89)
% 4.15/4.23      | ~ p33(X87,X88)
% 4.15/4.23      | ~ p33(X87,X89) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p31_38,negated_conjecture,
% 4.15/4.23      ( p31(X81,X82)
% 4.15/4.23      | ~ p31(X80,X81)
% 4.15/4.23      | ~ p31(X80,X82) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p3_39,negated_conjecture,
% 4.15/4.23      ( p3(X70,X71)
% 4.15/4.23      | ~ p3(X69,X70)
% 4.15/4.23      | ~ p3(X69,X71) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p29_40,negated_conjecture,
% 4.15/4.23      ( p29(X63,X64)
% 4.15/4.23      | ~ p29(X62,X63)
% 4.15/4.23      | ~ p29(X62,X64) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p27_41,negated_conjecture,
% 4.15/4.23      ( p27(X51,X52)
% 4.15/4.23      | ~ p27(X50,X51)
% 4.15/4.23      | ~ p27(X50,X52) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p25_42,negated_conjecture,
% 4.15/4.23      ( p25(X48,X49)
% 4.15/4.23      | ~ p25(X47,X48)
% 4.15/4.23      | ~ p25(X47,X49) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p23_43,negated_conjecture,
% 4.15/4.23      ( p23(X41,X42)
% 4.15/4.23      | ~ p23(X40,X41)
% 4.15/4.23      | ~ p23(X40,X42) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p21_44,negated_conjecture,
% 4.15/4.23      ( p21(X34,X35)
% 4.15/4.23      | ~ p21(X33,X34)
% 4.15/4.23      | ~ p21(X33,X35) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p2_45,negated_conjecture,
% 4.15/4.23      ( p2(X31,X32)
% 4.15/4.23      | ~ p2(X30,X31)
% 4.15/4.23      | ~ p2(X30,X32) ) ).
% 4.15/4.23  
% 4.15/4.23  cnf(p19_46,negated_conjecture,
% 4.15/4.24      ( p19(X24,X25)
% 4.15/4.24      | ~ p19(X23,X24)
% 4.15/4.24      | ~ p19(X23,X25) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p17_47,negated_conjecture,
% 4.15/4.24      ( p17(X21,X22)
% 4.15/4.24      | ~ p17(X20,X21)
% 4.15/4.24      | ~ p17(X20,X22) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p15_48,negated_conjecture,
% 4.15/4.24      ( p15(X18,X19)
% 4.15/4.24      | ~ p15(X17,X18)
% 4.15/4.24      | ~ p15(X17,X19) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p14_49,negated_conjecture,
% 4.15/4.24      ( p14(X11,X12)
% 4.15/4.24      | ~ p14(X10,X11)
% 4.15/4.24      | ~ p14(X10,X12) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p12_50,negated_conjecture,
% 4.15/4.24      ( p12(X8,X9)
% 4.15/4.24      | ~ p12(X7,X8)
% 4.15/4.24      | ~ p12(X7,X9) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(not_p47_51,negated_conjecture,
% 4.15/4.24      ~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53) ).
% 4.15/4.24  
% 4.15/4.24  cnf(not_p47_52,negated_conjecture,
% 4.15/4.24      ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X60) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p47_53,negated_conjecture,
% 4.15/4.24      ( p47(X143,X144)
% 4.15/4.24      | ~ p4(X146,X143)
% 4.15/4.24      | ~ p47(X146,X145)
% 4.15/4.24      | ~ p15(X145,X144) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p10_54,negated_conjecture,
% 4.15/4.24      ( p10(f30(X3,X4),f30(X5,X6))
% 4.15/4.24      | ~ p15(X4,X6)
% 4.15/4.24      | ~ p29(X3,X5) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p9_55,negated_conjecture,
% 4.15/4.24      ( p9(f13(X164,X165),f13(X166,X167))
% 4.15/4.24      | ~ p12(X164,X166)
% 4.15/4.24      | ~ p4(X165,X167) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p7_56,negated_conjecture,
% 4.15/4.24      ( p7(f40(X157,X158),f40(X159,X160))
% 4.15/4.24      | ~ p15(X158,X160)
% 4.15/4.24      | ~ p39(X157,X159) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p6_57,negated_conjecture,
% 4.15/4.24      ( p6(f11(X150,X151),f11(X152,X153))
% 4.15/4.24      | ~ p10(X151,X153)
% 4.15/4.24      | ~ p9(X150,X152) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p43_58,negated_conjecture,
% 4.15/4.24      ( p43(f46(X132,X133),f46(X134,X135))
% 4.15/4.24      | ~ p4(X133,X135)
% 4.15/4.24      | ~ p45(X132,X134) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p41_59,negated_conjecture,
% 4.15/4.24      ( p41(f44(X125,X126),f44(X127,X128))
% 4.15/4.24      | ~ p10(X126,X128)
% 4.15/4.24      | ~ p43(X125,X127) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p4_60,negated_conjecture,
% 4.15/4.24      ( p4(f5(X118,X119),f5(X120,X121))
% 4.15/4.24      | ~ p2(X118,X120)
% 4.15/4.24      | ~ p3(X119,X121) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p4_61,negated_conjecture,
% 4.15/4.24      ( p4(f20(X114,X115),f20(X116,X117))
% 4.15/4.24      | ~ p15(X115,X117)
% 4.15/4.24      | ~ p19(X114,X116) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p39_62,negated_conjecture,
% 4.15/4.24      ( p39(f42(X107,X108),f42(X109,X110))
% 4.15/4.24      | ~ p41(X107,X109)
% 4.15/4.24      | ~ p7(X108,X110) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p37_63,negated_conjecture,
% 4.15/4.24      ( p37(f38(X100,X101),f38(X102,X103))
% 4.15/4.24      | ~ p15(X101,X103)
% 4.15/4.24      | ~ p7(X100,X102) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p33_64,negated_conjecture,
% 4.15/4.24      ( p33(f36(X90,X91),f36(X92,X93))
% 4.15/4.24      | ~ p35(X90,X92)
% 4.15/4.24      | ~ p4(X91,X93) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p31_65,negated_conjecture,
% 4.15/4.24      ( p31(f34(X83,X84),f34(X85,X86))
% 4.15/4.24      | ~ p10(X84,X86)
% 4.15/4.24      | ~ p33(X83,X85) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p3_66,negated_conjecture,
% 4.15/4.24      ( p3(f8(X76,X77),f8(X78,X79))
% 4.15/4.24      | ~ p6(X76,X78)
% 4.15/4.24      | ~ p7(X77,X79) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p3_67,negated_conjecture,
% 4.15/4.24      ( p3(f16(X72,X73),f16(X74,X75))
% 4.15/4.24      | ~ p14(X72,X74)
% 4.15/4.24      | ~ p15(X73,X75) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p29_68,negated_conjecture,
% 4.15/4.24      ( p29(f32(X65,X66),f32(X67,X68))
% 4.15/4.24      | ~ p31(X65,X67)
% 4.15/4.24      | ~ p7(X66,X68) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p27_69,negated_conjecture,
% 4.15/4.24      ( p27(f28(X53,X54),f28(X55,X56))
% 4.15/4.24      | ~ p10(X53,X55)
% 4.15/4.24      | ~ p15(X54,X56) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p23_70,negated_conjecture,
% 4.15/4.24      ( p23(f26(X43,X44),f26(X45,X46))
% 4.15/4.24      | ~ p25(X43,X45)
% 4.15/4.24      | ~ p4(X44,X46) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p21_71,negated_conjecture,
% 4.15/4.24      ( p21(f24(X36,X37),f24(X38,X39))
% 4.15/4.24      | ~ p10(X37,X39)
% 4.15/4.24      | ~ p23(X36,X38) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p19_72,negated_conjecture,
% 4.15/4.24      ( p19(f22(X26,X27),f22(X28,X29))
% 4.15/4.24      | ~ p21(X26,X28)
% 4.15/4.24      | ~ p7(X27,X29) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p14_73,negated_conjecture,
% 4.15/4.24      ( p14(f18(X13,X14),f18(X15,X16))
% 4.15/4.24      | ~ p17(X13,X15)
% 4.15/4.24      | ~ p3(X14,X16) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p47_74,negated_conjecture,
% 4.15/4.24      ( p47(X139,X140)
% 4.15/4.24      | ~ p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p47_75,negated_conjecture,
% 4.15/4.24      ( p47(X57,X61)
% 4.15/4.24      | ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p47_76,negated_conjecture,
% 4.15/4.24      ( p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140)
% 4.15/4.24      | ~ p47(X139,X140) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p47_77,negated_conjecture,
% 4.15/4.24      p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p27_78,negated_conjecture,
% 4.15/4.24      ( p27(f28(f30(f32(f34(f36(c57,X57),X58),X59),X60),X61),f28(X58,X61))
% 4.15/4.24      | ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p37_79,negated_conjecture,
% 4.15/4.24      ( p37(f38(f40(f42(f44(f46(c58,X57),X58),X59),X60),X61),f38(X59,X61))
% 4.15/4.24      | ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61) ) ).
% 4.15/4.24  
% 4.15/4.24  cnf(p3_80,negated_conjecture,
% 4.15/4.24      p3(f16(f18(c54,f8(f11(f13(c49,X57),X58),X59)),X60),f8(f11(f13(c49,f20(f22(f24(f26(c56,X57),X58),X59),X60)),f30(f32(f34(f36(c57,X57),X58),X59),X60)),f40(f42(f44(f46(c58,X57),X58),X59),X60))) ).
% 4.15/4.24  
% 4.15/4.24  %--------------------------------------------------------------------------
% 4.15/4.24  %-------------------------------------------
% 4.15/4.24  % Proof found
% 4.15/4.24  % SZS status Theorem for theBenchmark
% 4.15/4.24  % SZS output start Proof
% 4.15/4.24  %ClaNum:80(EqnAxiom:0)
% 4.15/4.24  %VarNum:432(SingletonVarNum:215)
% 4.15/4.24  %MaxLitNum:4
% 4.15/4.24  %MaxfuncDepth:6
% 4.15/4.24  %SharedTerms:20
% 4.15/4.24  %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 69 70 71 72 73 74 75 76 77 78 79 80
% 4.15/4.24  %singleGoalClaCount:29
% 4.15/4.24  [28]~P25(f17(a1,f14(f9(f8(a3,a4),a5),a6)),a7)
% 4.15/4.24  [26]P25(f17(a1,f16(f15(a2,f14(f9(f8(a3,a4),a5),a6)),a10)),a7)
% 4.15/4.24  [1]P1(x11,x11)
% 4.15/4.24  [2]P2(x21,x21)
% 4.15/4.24  [3]P3(x31,x31)
% 4.15/4.24  [4]P4(x41,x41)
% 4.15/4.24  [5]P5(x51,x51)
% 4.15/4.24  [6]P6(x61,x61)
% 4.15/4.24  [7]P7(x71,x71)
% 4.15/4.24  [8]P8(x81,x81)
% 4.15/4.24  [9]P9(x91,x91)
% 4.15/4.24  [10]P10(x101,x101)
% 4.15/4.24  [11]P11(x111,x111)
% 4.15/4.24  [12]P12(x121,x121)
% 4.15/4.24  [13]P13(x131,x131)
% 4.15/4.24  [14]P14(x141,x141)
% 4.15/4.24  [15]P15(x151,x151)
% 4.15/4.24  [16]P16(x161,x161)
% 4.15/4.24  [17]P17(x171,x171)
% 4.15/4.24  [18]P18(x181,x181)
% 4.15/4.24  [19]P19(x191,x191)
% 4.15/4.24  [20]P20(x201,x201)
% 4.15/4.24  [21]P21(x211,x211)
% 4.15/4.24  [22]P22(x221,x221)
% 4.15/4.24  [23]P23(x231,x231)
% 4.15/4.24  [24]P24(x241,x241)
% 4.15/4.24  [25]P26(x251,x251)
% 4.15/4.24  [29]~P25(f21(f20(f19(f18(a11,x291),x292),x293),x294),x294)
% 4.15/4.24  [27]P14(f16(f15(a2,f14(f9(f8(a3,x271),x272),x273)),x274),f14(f9(f8(a3,f21(f20(f19(f18(a11,x271),x272),x273),x274)),f25(f24(f23(f22(a12,x271),x272),x273),x274)),f30(f29(f28(f27(a13,x271),x272),x273),x274)))
% 4.15/4.24  [76]~P25(x761,x764)+P25(f17(a1,f14(f9(f8(a3,x761),x762),x763)),x764)
% 4.15/4.24  [77]P25(x771,x772)+~P25(f17(a1,f14(f9(f8(a3,x771),x773),x774)),x772)
% 4.15/4.24  [78]P25(x781,x782)+~P25(f21(f20(f19(f18(a11,x781),x783),x784),x785),x782)
% 4.15/4.24  [79]~P25(f21(f20(f19(f18(a11,x791),x792),x793),x794),x795)+P12(f26(f25(f24(f23(f22(a12,x791),x792),x793),x794),x795),f26(x792,x795))
% 4.15/4.24  [80]~P25(f21(f20(f19(f18(a11,x801),x802),x803),x804),x805)+P18(f31(f30(f29(f28(f27(a13,x801),x802),x803),x804),x805),f31(x803,x805))
% 4.15/4.24  [30]~P1(x303,x301)+P1(x301,x302)+~P1(x303,x302)
% 4.15/4.24  [31]~P2(x313,x311)+P2(x311,x312)+~P2(x313,x312)
% 4.15/4.24  [32]~P3(x323,x321)+P3(x321,x322)+~P3(x323,x322)
% 4.15/4.24  [33]~P4(x333,x331)+P4(x331,x332)+~P4(x333,x332)
% 4.15/4.24  [34]~P5(x343,x341)+P5(x341,x342)+~P5(x343,x342)
% 4.15/4.24  [35]~P6(x353,x351)+P6(x351,x352)+~P6(x353,x352)
% 4.15/4.24  [36]~P7(x363,x361)+P7(x361,x362)+~P7(x363,x362)
% 4.15/4.24  [37]~P8(x373,x371)+P8(x371,x372)+~P8(x373,x372)
% 4.15/4.24  [38]~P9(x383,x381)+P9(x381,x382)+~P9(x383,x382)
% 4.15/4.24  [39]~P10(x393,x391)+P10(x391,x392)+~P10(x393,x392)
% 4.15/4.24  [40]~P11(x403,x401)+P11(x401,x402)+~P11(x403,x402)
% 4.15/4.24  [41]~P12(x413,x411)+P12(x411,x412)+~P12(x413,x412)
% 4.15/4.24  [42]~P13(x423,x421)+P13(x421,x422)+~P13(x423,x422)
% 4.15/4.24  [43]~P14(x433,x431)+P14(x431,x432)+~P14(x433,x432)
% 4.15/4.24  [44]~P15(x443,x441)+P15(x441,x442)+~P15(x443,x442)
% 4.15/4.24  [45]~P16(x453,x451)+P16(x451,x452)+~P16(x453,x452)
% 4.15/4.24  [46]~P17(x463,x461)+P17(x461,x462)+~P17(x463,x462)
% 4.15/4.24  [47]~P18(x473,x471)+P18(x471,x472)+~P18(x473,x472)
% 4.15/4.24  [48]~P19(x483,x481)+P19(x481,x482)+~P19(x483,x482)
% 4.15/4.24  [49]~P20(x493,x491)+P20(x491,x492)+~P20(x493,x492)
% 4.15/4.24  [50]~P21(x503,x501)+P21(x501,x502)+~P21(x503,x502)
% 4.15/4.24  [51]~P22(x513,x511)+P22(x511,x512)+~P22(x513,x512)
% 4.15/4.24  [52]~P23(x523,x521)+P23(x521,x522)+~P23(x523,x522)
% 4.15/4.24  [53]~P24(x533,x531)+P24(x531,x532)+~P24(x533,x532)
% 4.15/4.24  [54]~P26(x543,x541)+P26(x541,x542)+~P26(x543,x542)
% 4.15/4.24  [56]~P3(x561,x563)+~P20(x562,x564)+P1(f8(x561,x562),f8(x563,x564))
% 4.15/4.24  [57]~P5(x572,x574)+~P13(x571,x573)+P2(f25(x571,x572),f25(x573,x574))
% 4.15/4.24  [58]~P6(x581,x583)+~P14(x582,x584)+P4(f15(x581,x582),f15(x583,x584))
% 4.15/4.24  [59]~P9(x591,x593)+~P26(x592,x594)+P7(f20(x591,x592),f20(x593,x594))
% 4.15/4.24  [60]~P2(x602,x604)+~P10(x601,x603)+P9(f19(x601,x602),f19(x603,x604))
% 4.15/4.24  [61]~P11(x611,x613)+~P20(x612,x614)+P10(f18(x611,x612),f18(x613,x614))
% 4.15/4.24  [62]~P2(x621,x623)+~P5(x622,x624)+P12(f26(x621,x622),f26(x623,x624))
% 4.15/4.24  [63]~P15(x631,x633)+~P26(x632,x634)+P13(f24(x631,x632),f24(x633,x634))
% 4.15/4.24  [64]~P24(x641,x643)+~P26(x642,x644)+P14(f14(x641,x642),f14(x643,x644))
% 4.15/4.24  [65]~P4(x651,x653)+~P5(x652,x654)+P14(f16(x651,x652),f16(x653,x654))
% 4.15/4.24  [66]~P2(x662,x664)+~P16(x661,x663)+P15(f23(x661,x662),f23(x663,x664))
% 4.15/4.24  [67]~P17(x671,x673)+~P20(x672,x674)+P16(f22(x671,x672),f22(x673,x674))
% 4.15/4.24  [68]~P5(x682,x684)+~P26(x681,x683)+P18(f31(x681,x682),f31(x683,x684))
% 4.15/4.24  [69]~P21(x691,x693)+~P26(x692,x694)+P19(f29(x691,x692),f29(x693,x694))
% 4.15/4.24  [70]~P8(x701,x703)+~P14(x702,x704)+P20(f17(x701,x702),f17(x703,x704))
% 4.15/4.24  [71]~P5(x712,x714)+~P7(x711,x713)+P20(f21(x711,x712),f21(x713,x714))
% 4.15/4.24  [72]~P2(x722,x724)+~P22(x721,x723)+P21(f28(x721,x722),f28(x723,x724))
% 4.15/4.24  [73]~P20(x732,x734)+~P23(x731,x733)+P22(f27(x731,x732),f27(x733,x734))
% 4.15/4.24  [74]~P1(x741,x743)+~P2(x742,x744)+P24(f9(x741,x742),f9(x743,x744))
% 4.15/4.24  [75]~P5(x752,x754)+~P19(x751,x753)+P26(f30(x751,x752),f30(x753,x754))
% 4.15/4.24  [55]~P25(x554,x553)+P25(x551,x552)+~P5(x553,x552)+~P20(x554,x551)
% 4.15/4.24  %EqnAxiom
% 4.15/4.24  
% 4.15/4.24  %-------------------------------------------
% 4.15/4.25  cnf(81,plain,
% 4.15/4.25     (~P25(a4,a7)),
% 4.15/4.25     inference(scs_inference,[],[28,76])).
% 4.15/4.25  cnf(85,plain,
% 4.15/4.25     (~P20(f17(a1,f16(f15(a2,f14(f9(f8(a3,a4),a5),a6)),a10)),f17(a1,f14(f9(f8(a3,a4),a5),a6)))),
% 4.15/4.25     inference(scs_inference,[],[5,28,26,76,78,77,55])).
% 4.15/4.25  cnf(88,plain,
% 4.15/4.25     (~P14(f16(f15(a2,f14(f9(f8(a3,a4),a5),a6)),a10),f14(f9(f8(a3,a4),a5),a6))),
% 4.15/4.25     inference(scs_inference,[],[8,85,70])).
% 4.15/4.25  cnf(97,plain,
% 4.15/4.25     (P14(f14(f9(f8(a3,f21(f20(f19(f18(a11,x971),x972),x973),x974)),f25(f24(f23(f22(a12,x971),x972),x973),x974)),f30(f29(f28(f27(a13,x971),x972),x973),x974)),f16(f15(a2,f14(f9(f8(a3,x971),x972),x973)),x974))),
% 4.15/4.25     inference(scs_inference,[],[27,14,43])).
% 4.15/4.25  cnf(100,plain,
% 4.15/4.25     (~P14(f14(f9(f8(a3,f21(f20(f19(f18(a11,a4),a5),a6),a10)),f25(f24(f23(f22(a12,a4),a5),a6),a10)),f30(f29(f28(f27(a13,a4),a5),a6),a10)),f14(f9(f8(a3,a4),a5),a6))),
% 4.15/4.25     inference(scs_inference,[],[97,88,43])).
% 4.15/4.25  cnf(106,plain,
% 4.15/4.25     (~P25(f21(f20(f19(f18(a11,a4),x1061),x1062),x1063),a7)),
% 4.15/4.25     inference(scs_inference,[],[81,14,100,43,78])).
% 4.15/4.25  cnf(120,plain,
% 4.15/4.25     (~P25(f17(a1,f14(f9(f8(a3,f21(f20(f19(f18(a11,a4),x1201),x1202),x1203)),x1204),x1205)),a7)),
% 4.15/4.25     inference(scs_inference,[],[106,78,77])).
% 4.15/4.25  cnf(243,plain,
% 4.15/4.25     ($false),
% 4.15/4.25     inference(scs_inference,[],[27,8,5,26,120,70,55]),
% 4.15/4.25     ['proof']).
% 4.15/4.25  % SZS output end Proof
% 4.15/4.25  % Total time :3.610000s
%------------------------------------------------------------------------------