TSTP Solution File: SYN711-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN711-1 : 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 : 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  : 300s
% DateTime : Fri Sep  1 01:47:03 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN711-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat Aug 26 19:37:18 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.20/0.55  start to proof:theBenchmark
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % File        :CSE---1.6
% 0.20/0.62  % Problem     :theBenchmark
% 0.20/0.62  % Transform   :cnf
% 0.20/0.62  % Format      :tptp:raw
% 0.20/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.62  
% 0.20/0.62  % Result      :Theorem 0.010000s
% 0.20/0.62  % Output      :CNFRefutation 0.010000s
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  % File     : SYN711-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.62  % Domain   : Syntactic
% 0.20/0.62  % Problem  : Harrison problem 4711
% 0.20/0.62  % Version  : Especial.
% 0.20/0.62  % English  :
% 0.20/0.62  
% 0.20/0.62  % Refs     : [Har01] Email to G. Sutcliffe
% 0.20/0.62  % Source   : [Har01]
% 0.20/0.62  % Names    :
% 0.20/0.62  
% 0.20/0.62  % Status   : Unsatisfiable
% 0.20/0.62  % Rating   : 0.29 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.25 v6.2.0, 0.33 v6.1.0, 0.50 v6.0.0, 0.44 v5.5.0, 0.50 v5.4.0, 0.56 v5.3.0, 0.50 v5.2.0, 0.69 v5.1.0, 0.56 v5.0.0, 0.53 v4.0.1, 0.43 v3.7.0, 0.29 v3.4.0, 0.40 v3.3.0, 0.33 v2.7.0, 0.38 v2.6.0, 0.17 v2.5.0
% 0.20/0.62  % Syntax   : Number of clauses     :   89 (  45 unt;   0 nHn;  77 RR)
% 0.20/0.62  %            Number of literals    :  172 (   0 equ;  87 neg)
% 0.20/0.62  %            Maximal clause size   :    5 (   1 avg)
% 0.20/0.62  %            Maximal term depth    :   85 (  11 avg)
% 0.20/0.62  %            Number of predicates  :   19 (  19 usr;   0 prp; 1-2 aty)
% 0.20/0.62  %            Number of functors    :   43 (  43 usr;  19 con; 0-4 aty)
% 0.20/0.62  %            Number of variables   :  151 (   0 sgn)
% 0.20/0.62  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.62  
% 0.20/0.62  % Comments :
% 0.20/0.62  %--------------------------------------------------------------------------
% 0.20/0.62  cnf(c46_is_p39_1,negated_conjecture,
% 0.20/0.62      p39(c46) ).
% 0.20/0.62  
% 0.20/0.62  cnf(c56_is_p39_2,negated_conjecture,
% 0.20/0.62      p39(c56) ).
% 0.20/0.62  
% 0.20/0.62  cnf(c47_is_p39_3,negated_conjecture,
% 0.20/0.62      p39(c47) ).
% 0.20/0.62  
% 0.20/0.62  cnf(c58_is_not_p45_4,negated_conjecture,
% 0.20/0.62      ~ p45(c58) ).
% 0.20/0.62  
% 0.20/0.62  cnf(c55_is_not_p45_5,negated_conjecture,
% 0.20/0.62      ~ p45(c55) ).
% 0.20/0.62  
% 0.20/0.62  cnf(c57_is_not_p45_6,negated_conjecture,
% 0.20/0.62      ~ p45(c57) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p17_7,negated_conjecture,
% 0.20/0.62      p17(X0,X0) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p9_8,negated_conjecture,
% 0.20/0.62      p9(X134,X134) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p6_9,negated_conjecture,
% 0.20/0.62      p6(X99,X99) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p5_10,negated_conjecture,
% 0.20/0.62      p5(X92,X92) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p33_11,negated_conjecture,
% 0.20/0.62      p33(X58,X58) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p3_12,negated_conjecture,
% 0.20/0.62      p3(X53,X53) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p28_13,negated_conjecture,
% 0.20/0.62      p28(X50,X50) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p26_14,negated_conjecture,
% 0.20/0.62      p26(X43,X43) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p24_15,negated_conjecture,
% 0.20/0.62      p24(X36,X36) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p22_16,negated_conjecture,
% 0.20/0.62      p22(X17,X17) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p2_17,negated_conjecture,
% 0.20/0.62      p2(X14,X14) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p19_18,negated_conjecture,
% 0.20/0.62      p19(X7,X7) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p44_19,negated_conjecture,
% 0.20/0.62      p44(c58,f34(c52)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p44_20,negated_conjecture,
% 0.20/0.62      p44(c55,f34(c52)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p44_21,negated_conjecture,
% 0.20/0.62      p44(c56,f34(c52)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p44_22,negated_conjecture,
% 0.20/0.62      p44(c57,f34(c52)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p40_23,negated_conjecture,
% 0.20/0.62      p40(f7(c46),f4(c48)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p40_24,negated_conjecture,
% 0.20/0.62      p40(f7(c47),f4(c48)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p42_25,negated_conjecture,
% 0.20/0.62      p42(f16(c62),f16(f7(c46))) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p42_26,negated_conjecture,
% 0.20/0.62      ( p42(X73,X74)
% 0.20/0.62      | ~ p41(X73,X74) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p39_27,negated_conjecture,
% 0.20/0.62      ( p39(X63)
% 0.20/0.62      | ~ p39(X64)
% 0.20/0.62      | ~ p5(X64,X63) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p45_28,negated_conjecture,
% 0.20/0.62      ( p45(X90)
% 0.20/0.62      | ~ p45(X91)
% 0.20/0.62      | ~ p5(X91,X90) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p41_29,negated_conjecture,
% 0.20/0.62      p41(f8(f10(f11(f12(c49)))),f7(c46)) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p9_30,negated_conjecture,
% 0.20/0.62      ( p9(f15(X141),f15(X142))
% 0.20/0.62      | ~ p9(X141,X142) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p3_31,negated_conjecture,
% 0.20/0.62      ( p3(f4(X56),f4(X57))
% 0.20/0.62      | ~ p2(X56,X57) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p33_32,negated_conjecture,
% 0.20/0.62      ( p33(f34(X61),f34(X62))
% 0.20/0.62      | ~ p2(X61,X62) ) ).
% 0.20/0.62  
% 0.20/0.62  cnf(p5_33,negated_conjecture,
% 0.20/0.62      ( p5(f18(X95),f18(X96))
% 0.20/0.63      | ~ p17(X95,X96) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_34,negated_conjecture,
% 0.20/0.63      ( p5(f23(X97),f23(X98))
% 0.20/0.63      | ~ p22(X97,X98) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_35,negated_conjecture,
% 0.20/0.63      ( p6(f10(X102),f10(X103))
% 0.20/0.63      | ~ p9(X102,X103) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_36,negated_conjecture,
% 0.20/0.63      ( p6(f13(X104),f13(X105))
% 0.20/0.63      | ~ p6(X104,X105) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_37,negated_conjecture,
% 0.20/0.63      ( p6(f16(X110),f16(X111))
% 0.20/0.63      | ~ p6(X110,X111) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_38,negated_conjecture,
% 0.20/0.63      ( p6(f38(X128),f38(X129))
% 0.20/0.63      | ~ p6(X128,X129) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_39,negated_conjecture,
% 0.20/0.63      ( p6(f7(X130),f7(X131))
% 0.20/0.63      | ~ p5(X130,X131) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_40,negated_conjecture,
% 0.20/0.63      ( p6(f8(X132),f8(X133))
% 0.20/0.63      | ~ p6(X132,X133) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p9_41,negated_conjecture,
% 0.20/0.63      ( p9(f11(X137),f11(X138))
% 0.20/0.63      | ~ p9(X137,X138) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p9_42,negated_conjecture,
% 0.20/0.63      ( p9(f12(X139),f12(X140))
% 0.20/0.63      | ~ p9(X139,X140) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p17_43,negated_conjecture,
% 0.20/0.63      ( p17(X1,X2)
% 0.20/0.63      | ~ p17(X0,X1)
% 0.20/0.63      | ~ p17(X0,X2) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p9_44,negated_conjecture,
% 0.20/0.63      ( p9(X135,X136)
% 0.20/0.63      | ~ p9(X134,X135)
% 0.20/0.63      | ~ p9(X134,X136) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_45,negated_conjecture,
% 0.20/0.63      ( p6(X100,X101)
% 0.20/0.63      | ~ p6(X99,X100)
% 0.20/0.63      | ~ p6(X99,X101) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_46,negated_conjecture,
% 0.20/0.63      ( p5(X93,X94)
% 0.20/0.63      | ~ p5(X92,X93)
% 0.20/0.63      | ~ p5(X92,X94) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_47,negated_conjecture,
% 0.20/0.63      ( p42(X75,X76)
% 0.20/0.63      | ~ p42(X75,X77)
% 0.20/0.63      | ~ p42(X77,X76) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p33_48,negated_conjecture,
% 0.20/0.63      ( p33(X59,X60)
% 0.20/0.63      | ~ p33(X58,X59)
% 0.20/0.63      | ~ p33(X58,X60) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p3_49,negated_conjecture,
% 0.20/0.63      ( p3(X54,X55)
% 0.20/0.63      | ~ p3(X53,X54)
% 0.20/0.63      | ~ p3(X53,X55) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p28_50,negated_conjecture,
% 0.20/0.63      ( p28(X51,X52)
% 0.20/0.63      | ~ p28(X50,X51)
% 0.20/0.63      | ~ p28(X50,X52) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p26_51,negated_conjecture,
% 0.20/0.63      ( p26(X44,X45)
% 0.20/0.63      | ~ p26(X43,X44)
% 0.20/0.63      | ~ p26(X43,X45) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p24_52,negated_conjecture,
% 0.20/0.63      ( p24(X37,X38)
% 0.20/0.63      | ~ p24(X36,X37)
% 0.20/0.63      | ~ p24(X36,X38) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p22_53,negated_conjecture,
% 0.20/0.63      ( p22(X18,X19)
% 0.20/0.63      | ~ p22(X17,X18)
% 0.20/0.63      | ~ p22(X17,X19) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p2_54,negated_conjecture,
% 0.20/0.63      ( p2(X15,X16)
% 0.20/0.63      | ~ p2(X14,X15)
% 0.20/0.63      | ~ p2(X14,X16) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p19_55,negated_conjecture,
% 0.20/0.63      ( p19(X8,X9)
% 0.20/0.63      | ~ p19(X7,X8)
% 0.20/0.63      | ~ p19(X7,X9) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_56,negated_conjecture,
% 0.20/0.63      p6(f7(c56),f37(f35(f7(c50),f7(c46)),f7(c55))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_57,negated_conjecture,
% 0.20/0.63      p5(f23(f31(f27(c52,f30(c53,c1)),c50,c46,c55)),c56) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_58,negated_conjecture,
% 0.20/0.63      p5(f23(f25(f27(c52,f30(c53,c1)),c47,c57,c54)),c58) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_59,negated_conjecture,
% 0.20/0.63      p5(f23(f25(f27(c52,f30(c53,c1)),c50,c46,c54)),c55) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_60,negated_conjecture,
% 0.20/0.63      p5(f23(f25(f27(c52,f30(c53,c1)),c51,c46,c56)),c57) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p40_61,negated_conjecture,
% 0.20/0.63      ( p40(X65,X66)
% 0.20/0.63      | ~ p40(X68,X67)
% 0.20/0.63      | ~ p6(X68,X65)
% 0.20/0.63      | ~ p3(X67,X66) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p44_62,negated_conjecture,
% 0.20/0.63      ( p44(X86,X87)
% 0.20/0.63      | ~ p44(X89,X88)
% 0.20/0.63      | ~ p5(X89,X86)
% 0.20/0.63      | ~ p33(X88,X87) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p43_63,negated_conjecture,
% 0.20/0.63      ( p43(X82,X83)
% 0.20/0.63      | ~ p6(X84,X82)
% 0.20/0.63      | ~ p6(X85,X83)
% 0.20/0.63      | ~ p43(X84,X85) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_64,negated_conjecture,
% 0.20/0.63      ( p42(X78,X79)
% 0.20/0.63      | ~ p6(X80,X78)
% 0.20/0.63      | ~ p6(X81,X79)
% 0.20/0.63      | ~ p42(X80,X81) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p41_65,negated_conjecture,
% 0.20/0.63      ( p41(X69,X70)
% 0.20/0.63      | ~ p6(X71,X69)
% 0.20/0.63      | ~ p6(X72,X70)
% 0.20/0.63      | ~ p41(X71,X72) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p17_66,negated_conjecture,
% 0.20/0.63      ( p17(f20(X3,X4),f20(X5,X6))
% 0.20/0.63      | ~ p19(X4,X6)
% 0.20/0.63      | ~ p9(X3,X5) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_67,negated_conjecture,
% 0.20/0.63      ( p6(f37(X124,X125),f37(X126,X127))
% 0.20/0.63      | ~ p6(X124,X126)
% 0.20/0.63      | ~ p6(X125,X127) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_68,negated_conjecture,
% 0.20/0.63      ( p6(f36(X120,X121),f36(X122,X123))
% 0.20/0.63      | ~ p6(X120,X122)
% 0.20/0.63      | ~ p6(X121,X123) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_69,negated_conjecture,
% 0.20/0.63      ( p6(f35(X116,X117),f35(X118,X119))
% 0.20/0.63      | ~ p6(X116,X118)
% 0.20/0.63      | ~ p6(X117,X119) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_70,negated_conjecture,
% 0.20/0.63      ( p6(f32(X112,X113),f32(X114,X115))
% 0.20/0.63      | ~ p6(X112,X114)
% 0.20/0.63      | ~ p6(X113,X115) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_71,negated_conjecture,
% 0.20/0.63      ( p6(f14(X106,X107),f14(X108,X109))
% 0.20/0.63      | ~ p6(X106,X108)
% 0.20/0.63      | ~ p9(X107,X109) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p24_72,negated_conjecture,
% 0.20/0.63      ( p24(f27(X39,X40),f27(X41,X42))
% 0.20/0.63      | ~ p2(X39,X41)
% 0.20/0.63      | ~ p26(X40,X42) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p19_73,negated_conjecture,
% 0.20/0.63      ( p19(f21(X10,X11),f21(X12,X13))
% 0.20/0.63      | ~ p9(X10,X12)
% 0.20/0.63      | ~ p9(X11,X13) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_74,negated_conjecture,
% 0.20/0.63      p6(f7(c55),f35(f7(c50),f35(f7(c46),f36(f10(f11(f12(c49))),c59)))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_75,negated_conjecture,
% 0.20/0.63      p42(f16(c59),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f15(f15(f12(c49))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_76,negated_conjecture,
% 0.20/0.63      p42(f16(c61),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f15(f15(f12(c49))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_77,negated_conjecture,
% 0.20/0.63      p42(f16(c60),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f15(f15(f12(c49))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(not_p42_78,negated_conjecture,
% 0.20/0.63      ~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_79,negated_conjecture,
% 0.20/0.63      p6(f7(c57),f35(f37(f7(c51),f35(f7(c50),c59)),f35(f7(c46),f36(f10(f11(f12(c49))),c60)))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p41_80,negated_conjecture,
% 0.20/0.63      p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p22_81,negated_conjecture,
% 0.20/0.63      ( p22(f25(X20,X21,X22,X23),f25(X24,X25,X26,X27))
% 0.20/0.63      | ~ p5(X22,X26)
% 0.20/0.63      | ~ p5(X23,X27)
% 0.20/0.63      | ~ p24(X20,X24)
% 0.20/0.63      | ~ p5(X21,X25) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p22_82,negated_conjecture,
% 0.20/0.63      ( p22(f31(X28,X29,X30,X31),f31(X32,X33,X34,X35))
% 0.20/0.63      | ~ p5(X30,X34)
% 0.20/0.63      | ~ p5(X31,X35)
% 0.20/0.63      | ~ p24(X28,X32)
% 0.20/0.63      | ~ p5(X29,X33) ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p43_83,negated_conjecture,
% 0.20/0.63      p43(f13(f14(f10(f11(f15(f12(c49)))),f11(f12(f15(f12(f12(f12(f12(f15(f15(f15(f15(f15(f15(f15(f15(f12(c49)))))))))))))))))),f7(c46)) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p43_84,negated_conjecture,
% 0.20/0.63      p43(f13(f14(f10(f11(f15(f12(c49)))),f11(f12(f15(f12(f12(f12(f12(f15(f15(f15(f15(f15(f15(f15(f15(f12(c49)))))))))))))))))),f7(c47)) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_85,negated_conjecture,
% 0.20/0.63      p6(f7(c58),f35(f7(c47),f35(f37(f7(c51),f35(f7(c50),c59)),f35(f7(c46),f35(f36(f10(f11(f12(c49))),c60),f36(f10(f11(f12(c49))),c61)))))) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p6_86,negated_conjecture,
% 0.20/0.63      p6(f35(f7(c46),f13(f35(f10(f11(f15(f12(c49)))),f35(f36(f10(f11(f12(c49))),c62),f35(f36(f10(f11(f12(c49))),c62),f38(f10(f11(f15(f12(c49)))))))))),c63) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_87,negated_conjecture,
% 0.20/0.63      p5(f18(f20(f11(c49),f21(f11(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(c49))))))))))))))))),f11(f12(f12(f15(f12(f12(f12(f15(f12(f15(f15(f15(f15(f12(f12(f12(f12(f12(f12(f12(f15(f12(f15(f15(f15(f15(f15(f12(f12(f12(f15(f12(f15(f12(f15(f15(f12(f15(f12(f15(f15(f12(f12(f15(f12(f12(f12(f15(f15(f15(f12(f15(f12(f15(f12(f15(f12(f15(f15(f15(f12(f12(f12(f15(f12(c49)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),c50) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p5_88,negated_conjecture,
% 0.20/0.63      p5(f18(f20(f11(c49),f21(f11(f12(f12(f12(f12(f12(f12(f15(f12(f12(f12(f12(f12(f12(f12(f12(f12(c49))))))))))))))))),f11(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f12(f12(f12(f12(f15(f12(f15(f15(f15(f12(f15(f15(f12(f15(f12(f12(f15(f15(f15(f15(f15(f12(f15(f12(f12(f15(f12(f12(f12(f12(f12(f12(f12(f12(f12(f12(f15(f15(f15(f15(f12(f15(f12(f12(f12(f12(f12(f15(f12(c49)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),c51) ).
% 0.20/0.63  
% 0.20/0.63  cnf(p42_89,negated_conjecture,
% 0.20/0.63      p42(f16(f7(c46)),f32(f10(f11(f12(c49))),f10(f11(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f15(f12(c49))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ).
% 0.20/0.63  
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark
% 0.20/0.64  % SZS output start Proof
% 0.20/0.64  %ClaNum:89(EqnAxiom:0)
% 0.20/0.64  %VarNum:302(SingletonVarNum:151)
% 0.20/0.64  %MaxLitNum:5
% 0.20/0.64  %MaxfuncDepth:84
% 0.20/0.64  %SharedTerms:358
% 0.20/0.64  %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 81 82 83 84 85 86 87 88 89
% 0.20/0.64  %singleGoalClaCount:45
% 0.20/0.64  [1]P1(a1)
% 0.20/0.64  [2]P1(a3)
% 0.20/0.64  [3]P1(a4)
% 0.20/0.64  [42]~P19(a14)
% 0.20/0.64  [43]~P19(a10)
% 0.20/0.64  [44]~P19(a15)
% 0.20/0.64  [16]P14(a3,f13(a5))
% 0.20/0.64  [17]P14(a14,f13(a5))
% 0.20/0.64  [18]P14(a10,f13(a5))
% 0.20/0.64  [19]P14(a15,f13(a5))
% 0.20/0.64  [20]P15(f37(a1),f38(a6))
% 0.20/0.64  [21]P15(f37(a4),f38(a6))
% 0.20/0.64  [22]P16(f20(a16),f20(f37(a1)))
% 0.20/0.64  [24]P12(f37(a3),f40(f39(f37(a8),f37(a1)),f37(a10)))
% 0.20/0.64  [23]P17(f43(f23(f22(f21(a7)))),f37(a1))
% 0.20/0.64  [27]P13(f30(f35(f29(a5,f28(a11,a2)),a8,a1,a10)),a3)
% 0.20/0.64  [28]P13(f30(f34(f29(a5,f28(a11,a2)),a4,a15,a12)),a14)
% 0.20/0.64  [29]P13(f30(f34(f29(a5,f28(a11,a2)),a8,a1,a12)),a10)
% 0.20/0.64  [30]P13(f30(f34(f29(a5,f28(a11,a2)),a9,a1,a3)),a15)
% 0.20/0.64  [25]P12(f37(a10),f39(f37(a8),f39(f37(a1),f41(f23(f22(f21(a7))),a17))))
% 0.20/0.64  [26]P12(f37(a15),f39(f40(f37(a9),f39(f37(a8),a17)),f39(f37(a1),f41(f23(f22(f21(a7))),a18))))
% 0.20/0.64  [31]P12(f37(a14),f39(f37(a4),f39(f40(f37(a9),f39(f37(a8),a17)),f39(f37(a1),f39(f41(f23(f22(f21(a7))),a18),f41(f23(f22(f21(a7))),a19))))))
% 0.20/0.64  [32]P16(f20(a17),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))
% 0.20/0.64  [33]P16(f20(a19),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))
% 0.20/0.64  [34]P16(f20(a18),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))
% 0.20/0.64  [35]P17(f20(f37(a1)),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f21(f25(f21(a7)))))))))))
% 0.20/0.64  [36]P12(f39(f37(a1),f27(f39(f23(f22(f25(f21(a7)))),f39(f41(f23(f22(f21(a7))),a16),f39(f41(f23(f22(f21(a7))),a16),f42(f23(f22(f25(f21(a7)))))))))),a24)
% 0.20/0.64  [45]~P16(f20(a16),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f21(f25(f21(a7)))))))))))
% 0.20/0.64  [37]P18(f27(f26(f23(f22(f25(f21(a7)))),f22(f21(f25(f21(f21(f21(f21(f25(f25(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))))))))),f37(a1))
% 0.20/0.64  [38]P18(f27(f26(f23(f22(f25(f21(a7)))),f22(f21(f25(f21(f21(f21(f21(f25(f25(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))))))))),f37(a4))
% 0.20/0.64  [39]P13(f33(f32(f22(a7),f31(f22(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(a7))))))))))))))))),f22(f21(f21(f25(f21(f21(f21(f25(f21(f25(f25(f25(f25(f21(f21(f21(f21(f21(f21(f21(f25(f21(f25(f25(f25(f25(f25(f21(f21(f21(f25(f21(f25(f21(f25(f25(f21(f25(f21(f25(f25(f21(f21(f25(f21(f21(f21(f25(f25(f25(f21(f25(f21(f25(f21(f25(f21(f25(f25(f25(f21(f21(f21(f25(f21(a7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),a8)
% 0.20/0.64  [40]P13(f33(f32(f22(a7),f31(f22(f21(f21(f21(f21(f21(f21(f25(f21(f21(f21(f21(f21(f21(f21(f21(f21(a7))))))))))))))))),f22(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f21(f21(f21(f21(f25(f21(f25(f25(f25(f21(f25(f25(f21(f25(f21(f21(f25(f25(f25(f25(f25(f21(f25(f21(f21(f25(f21(f21(f21(f21(f21(f21(f21(f21(f21(f21(f25(f25(f25(f25(f21(f25(f21(f21(f21(f21(f21(f25(f21(a7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),a9)
% 0.20/0.64  [41]P16(f20(f37(a1)),f36(f23(f22(f21(a7))),f23(f22(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f25(f21(a7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.64  [4]P2(x41,x41)
% 0.20/0.64  [5]P11(x51,x51)
% 0.20/0.64  [6]P12(x61,x61)
% 0.20/0.64  [7]P13(x71,x71)
% 0.20/0.64  [8]P3(x81,x81)
% 0.20/0.64  [9]P4(x91,x91)
% 0.20/0.64  [10]P5(x101,x101)
% 0.20/0.64  [11]P6(x111,x111)
% 0.20/0.64  [12]P7(x121,x121)
% 0.20/0.64  [13]P8(x131,x131)
% 0.20/0.64  [14]P9(x141,x141)
% 0.20/0.64  [15]P10(x151,x151)
% 0.20/0.64  [48]~P17(x481,x482)+P16(x481,x482)
% 0.20/0.64  [49]~P11(x491,x492)+P11(f21(x491),f21(x492))
% 0.20/0.64  [50]~P11(x501,x502)+P11(f22(x501),f22(x502))
% 0.20/0.64  [51]~P11(x511,x512)+P11(f25(x511),f25(x512))
% 0.20/0.64  [52]~P13(x521,x522)+P12(f37(x521),f37(x522))
% 0.20/0.64  [53]~P12(x531,x532)+P12(f20(x531),f20(x532))
% 0.20/0.64  [54]~P11(x541,x542)+P12(f23(x541),f23(x542))
% 0.20/0.64  [55]~P12(x551,x552)+P12(f43(x551),f43(x552))
% 0.20/0.64  [56]~P12(x561,x562)+P12(f27(x561),f27(x562))
% 0.20/0.64  [57]~P12(x571,x572)+P12(f42(x571),f42(x572))
% 0.20/0.64  [58]~P2(x581,x582)+P13(f33(x581),f33(x582))
% 0.20/0.64  [59]~P8(x591,x592)+P13(f30(x591),f30(x592))
% 0.20/0.64  [60]~P9(x601,x602)+P3(f13(x601),f13(x602))
% 0.20/0.64  [61]~P9(x611,x612)+P4(f38(x611),f38(x612))
% 0.20/0.64  [46]~P13(x462,x461)+P1(x461)+~P1(x462)
% 0.20/0.64  [47]~P13(x472,x471)+P19(x471)+~P19(x472)
% 0.20/0.64  [62]~P2(x623,x621)+P2(x621,x622)+~P2(x623,x622)
% 0.20/0.64  [63]~P11(x633,x631)+P11(x631,x632)+~P11(x633,x632)
% 0.20/0.64  [64]~P12(x643,x641)+P12(x641,x642)+~P12(x643,x642)
% 0.20/0.64  [65]~P13(x653,x651)+P13(x651,x652)+~P13(x653,x652)
% 0.20/0.64  [66]~P3(x663,x661)+P3(x661,x662)+~P3(x663,x662)
% 0.20/0.64  [67]~P4(x673,x671)+P4(x671,x672)+~P4(x673,x672)
% 0.20/0.64  [68]~P5(x683,x681)+P5(x681,x682)+~P5(x683,x682)
% 0.20/0.64  [69]~P6(x693,x691)+P6(x691,x692)+~P6(x693,x692)
% 0.20/0.64  [70]~P7(x703,x701)+P7(x701,x702)+~P7(x703,x702)
% 0.20/0.64  [71]~P8(x713,x711)+P8(x711,x712)+~P8(x713,x712)
% 0.20/0.64  [72]~P9(x723,x721)+P9(x721,x722)+~P9(x723,x722)
% 0.20/0.64  [73]~P10(x733,x731)+P10(x731,x732)+~P10(x733,x732)
% 0.20/0.64  [74]~P16(x741,x743)+P16(x741,x742)+~P16(x743,x742)
% 0.20/0.64  [80]~P11(x801,x803)+~P10(x802,x804)+P2(f32(x801,x802),f32(x803,x804))
% 0.20/0.64  [81]~P12(x812,x814)+~P12(x811,x813)+P12(f39(x811,x812),f39(x813,x814))
% 0.20/0.64  [82]~P12(x822,x824)+~P12(x821,x823)+P12(f40(x821,x822),f40(x823,x824))
% 0.20/0.64  [83]~P12(x832,x834)+~P12(x831,x833)+P12(f41(x831,x832),f41(x833,x834))
% 0.20/0.64  [84]~P12(x842,x844)+~P12(x841,x843)+P12(f36(x841,x842),f36(x843,x844))
% 0.20/0.64  [85]~P11(x852,x854)+~P12(x851,x853)+P12(f26(x851,x852),f26(x853,x854))
% 0.20/0.64  [86]~P6(x862,x864)+~P9(x861,x863)+P7(f29(x861,x862),f29(x863,x864))
% 0.20/0.64  [87]~P11(x872,x874)+~P11(x871,x873)+P10(f31(x871,x872),f31(x873,x874))
% 0.20/0.64  [75]~P14(x753,x754)+P14(x751,x752)+~P13(x753,x751)+~P3(x754,x752)
% 0.20/0.64  [76]~P15(x763,x764)+P15(x761,x762)+~P12(x763,x761)+~P4(x764,x762)
% 0.20/0.64  [77]~P16(x774,x773)+P16(x771,x772)+~P12(x773,x772)+~P12(x774,x771)
% 0.20/0.64  [78]~P17(x784,x783)+P17(x781,x782)+~P12(x783,x782)+~P12(x784,x781)
% 0.20/0.64  [79]~P18(x794,x793)+P18(x791,x792)+~P12(x793,x792)+~P12(x794,x791)
% 0.20/0.64  [88]~P13(x884,x888)+~P13(x883,x887)+~P13(x882,x886)+~P7(x881,x885)+P8(f35(x881,x882,x883,x884),f35(x885,x886,x887,x888))
% 0.20/0.64  [89]~P13(x894,x898)+~P13(x893,x897)+~P13(x892,x896)+~P7(x891,x895)+P8(f34(x891,x892,x893,x894),f34(x895,x896,x897,x898))
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  cnf(100,plain,
% 0.20/0.64     (~P16(f20(f37(a1)),f27(f26(f23(f22(f25(f21(a7)))),f22(f25(f25(f25(f25(f21(f25(f21(a7)))))))))))),
% 0.20/0.64     inference(scs_inference,[],[22,30,24,45,48,57,56,55,53,52,74])).
% 0.20/0.64  cnf(115,plain,
% 0.20/0.64     (P8(f34(x1151,f30(f34(f29(a5,f28(a11,a2)),a9,a1,a3)),f30(f34(f29(a5,f28(a11,a2)),a9,a1,a3)),f30(f34(f29(a5,f28(a11,a2)),a9,a1,a3))),f34(x1151,a15,a15,a15))),
% 0.20/0.64     inference(scs_inference,[],[6,12,22,30,24,45,48,57,56,55,53,52,74,84,83,82,81,79,77,89])).
% 0.20/0.64  cnf(135,plain,
% 0.20/0.64     ($false),
% 0.20/0.64     inference(scs_inference,[],[29,35,7,100,115,59,65,48]),
% 0.20/0.64     ['proof']).
% 0.20/0.64  % SZS output end Proof
% 0.20/0.64  % Total time :0.010000s
%------------------------------------------------------------------------------