TSTP Solution File: SYN707-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN707-1 : 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 : n027.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 01:47:02 EDT 2023

% Result   : Unsatisfiable 0.62s 0.85s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem    : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.16  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.16/0.38  % Computer : n027.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat Aug 26 20:50:35 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.24/0.64  start to proof:theBenchmark
% 0.62/0.83  %-------------------------------------------
% 0.62/0.83  % File        :CSE---1.6
% 0.62/0.83  % Problem     :theBenchmark
% 0.62/0.83  % Transform   :cnf
% 0.62/0.83  % Format      :tptp:raw
% 0.62/0.83  % Command     :java -jar mcs_scs.jar %d %s
% 0.62/0.83  
% 0.62/0.83  % Result      :Theorem 0.120000s
% 0.62/0.83  % Output      :CNFRefutation 0.120000s
% 0.62/0.83  %-------------------------------------------
% 0.62/0.84  %--------------------------------------------------------------------------
% 0.62/0.84  % File     : SYN707-1 : TPTP v8.1.2. Released v2.5.0.
% 0.62/0.84  % Domain   : Syntactic
% 0.62/0.84  % Problem  : Harrison problem 4690
% 0.62/0.84  % Version  : Especial.
% 0.62/0.84  % English  :
% 0.62/0.84  
% 0.62/0.84  % Refs     : [Har01] Email to G. Sutcliffe
% 0.62/0.84  % Source   : [Har01]
% 0.62/0.84  % Names    :
% 0.62/0.84  
% 0.62/0.84  % Status   : Unsatisfiable
% 0.62/0.84  % Rating   : 0.29 v8.1.0, 0.50 v6.1.0, 0.64 v6.0.0, 0.56 v5.5.0, 0.62 v5.4.0, 0.67 v5.3.0, 0.65 v5.2.0, 0.69 v5.1.0, 0.62 v5.0.0, 0.53 v4.1.0, 0.60 v4.0.1, 0.71 v3.7.0, 0.57 v3.4.0, 0.40 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.25 v2.6.0, 0.17 v2.5.0
% 0.62/0.84  % Syntax   : Number of clauses     :   83 (  38 unt;   0 nHn;  76 RR)
% 0.62/0.84  %            Number of literals    :  164 (   0 equ;  86 neg)
% 0.62/0.84  %            Maximal clause size   :    4 (   1 avg)
% 0.62/0.84  %            Maximal term depth    :   28 (   5 avg)
% 0.62/0.84  %            Number of predicates  :   17 (  17 usr;   0 prp; 1-2 aty)
% 0.62/0.84  %            Number of functors    :   41 (  41 usr;  17 con; 0-2 aty)
% 0.62/0.84  %            Number of variables   :  132 (   0 sgn)
% 0.62/0.84  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.62/0.84  
% 0.62/0.84  % Comments :
% 0.62/0.84  %--------------------------------------------------------------------------
% 0.62/0.84  cnf(c56_is_p38_1,negated_conjecture,
% 0.62/0.84      p38(c56) ).
% 0.62/0.84  
% 0.62/0.84  cnf(c56_is_not_p34_2,negated_conjecture,
% 0.62/0.84      ~ p34(c56) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p10_3,negated_conjecture,
% 0.62/0.84      p10(X0,X0) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p9_4,negated_conjecture,
% 0.62/0.84      p9(X113,X113) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p32_5,negated_conjecture,
% 0.62/0.84      p32(X74,X74) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p3_6,negated_conjecture,
% 0.62/0.84      p3(X69,X69) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_7,negated_conjecture,
% 0.62/0.84      p2(X52,X52) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_8,negated_conjecture,
% 0.62/0.84      p16(X18,X18) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p12_9,negated_conjecture,
% 0.62/0.84      p12(X11,X11) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p33_10,negated_conjecture,
% 0.62/0.84      p33(c54,c55) ).
% 0.62/0.84  
% 0.62/0.84  cnf(not_p35_11,negated_conjecture,
% 0.62/0.84      ~ p35(c56,c58) ).
% 0.62/0.84  
% 0.62/0.84  cnf(not_p35_12,negated_conjecture,
% 0.62/0.84      ~ p35(c56,c57) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p37_13,negated_conjecture,
% 0.62/0.84      p37(f15(c56),c48) ).
% 0.62/0.84  
% 0.62/0.84  cnf(not_p36_14,negated_conjecture,
% 0.62/0.84      ~ p36(f15(c56),c47) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p38_15,negated_conjecture,
% 0.62/0.84      ( p38(f15(X27))
% 0.62/0.84      | ~ p38(X27) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p39_16,negated_conjecture,
% 0.62/0.84      p39(f18(f19(c56)),f17(c59)) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p40_17,negated_conjecture,
% 0.62/0.84      ( p40(X103)
% 0.62/0.84      | ~ p40(X104)
% 0.62/0.84      | ~ p10(X104,X103) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p34_18,negated_conjecture,
% 0.62/0.84      ( p34(X81)
% 0.62/0.84      | ~ p34(X82)
% 0.62/0.84      | ~ p10(X82,X81) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p38_19,negated_conjecture,
% 0.62/0.84      ( p38(X97)
% 0.62/0.84      | ~ p38(X98)
% 0.62/0.84      | ~ p10(X98,X97) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p10_20,negated_conjecture,
% 0.62/0.84      ( p10(f11(X3),f11(X4))
% 0.62/0.84      | ~ p9(X3,X4) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p9_21,negated_conjecture,
% 0.62/0.84      ( p9(f27(X120),f27(X121))
% 0.62/0.84      | ~ p10(X120,X121) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p3_22,negated_conjecture,
% 0.62/0.84      ( p3(f4(X72),f4(X73))
% 0.62/0.84      | ~ p2(X72,X73) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_23,negated_conjecture,
% 0.62/0.84      ( p2(f7(X63),f7(X64))
% 0.62/0.84      | ~ p2(X63,X64) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_24,negated_conjecture,
% 0.62/0.84      ( p2(f6(X61),f6(X62))
% 0.62/0.84      | ~ p2(X61,X62) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_25,negated_conjecture,
% 0.62/0.84      ( p2(f5(X59),f5(X60))
% 0.62/0.84      | ~ p2(X59,X60) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_26,negated_conjecture,
% 0.62/0.84      ( p2(f31(X57),f31(X58))
% 0.62/0.84      | ~ p2(X57,X58) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_27,negated_conjecture,
% 0.62/0.84      ( p2(f26(X55),f26(X56))
% 0.62/0.84      | ~ p9(X55,X56) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_28,negated_conjecture,
% 0.62/0.84      ( p16(f28(X42),f28(X43))
% 0.62/0.84      | ~ p16(X42,X43) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_29,negated_conjecture,
% 0.62/0.84      ( p16(f24(X36),f24(X37))
% 0.62/0.84      | ~ p2(X36,X37) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_30,negated_conjecture,
% 0.62/0.84      ( p16(f23(X34),f23(X35))
% 0.62/0.84      | ~ p16(X34,X35) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_31,negated_conjecture,
% 0.62/0.84      ( p16(f22(X32),f22(X33))
% 0.62/0.84      | ~ p16(X32,X33) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_32,negated_conjecture,
% 0.62/0.84      ( p16(f19(X25),f19(X26))
% 0.62/0.84      | ~ p10(X25,X26) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_33,negated_conjecture,
% 0.62/0.84      ( p16(f18(X23),f18(X24))
% 0.62/0.84      | ~ p16(X23,X24) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_34,negated_conjecture,
% 0.62/0.84      ( p16(f17(X21),f17(X22))
% 0.62/0.84      | ~ p12(X21,X22) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p10_35,negated_conjecture,
% 0.62/0.84      ( p10(f15(X5),f15(X6))
% 0.62/0.84      | ~ p10(X5,X6) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_36,negated_conjecture,
% 0.62/0.84      ( p16(f19(f15(X27)),f28(f19(X27)))
% 0.62/0.84      | ~ p38(X27) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p10_37,negated_conjecture,
% 0.62/0.84      ( p10(X1,X2)
% 0.62/0.84      | ~ p10(X0,X1)
% 0.62/0.84      | ~ p10(X0,X2) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p9_38,negated_conjecture,
% 0.62/0.84      ( p9(X114,X115)
% 0.62/0.84      | ~ p9(X113,X114)
% 0.62/0.84      | ~ p9(X113,X115) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p32_39,negated_conjecture,
% 0.62/0.84      ( p32(X75,X76)
% 0.62/0.84      | ~ p32(X74,X75)
% 0.62/0.84      | ~ p32(X74,X76) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p3_40,negated_conjecture,
% 0.62/0.84      ( p3(X70,X71)
% 0.62/0.84      | ~ p3(X69,X71)
% 0.62/0.84      | ~ p3(X69,X70) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_41,negated_conjecture,
% 0.62/0.84      ( p2(X53,X54)
% 0.62/0.84      | ~ p2(X52,X53)
% 0.62/0.84      | ~ p2(X52,X54) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_42,negated_conjecture,
% 0.62/0.84      ( p16(X19,X20)
% 0.62/0.84      | ~ p16(X18,X19)
% 0.62/0.84      | ~ p16(X18,X20) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p12_43,negated_conjecture,
% 0.62/0.84      ( p12(X12,X13)
% 0.62/0.84      | ~ p12(X11,X12)
% 0.62/0.84      | ~ p12(X11,X13) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p3_44,negated_conjecture,
% 0.62/0.84      p3(c43,f4(f5(f6(f6(f6(f6(f6(f7(c44))))))))) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p41_45,negated_conjecture,
% 0.62/0.84      p41(f5(c44),f5(f6(f7(f7(f7(f7(f7(f7(c44))))))))) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p37_46,negated_conjecture,
% 0.62/0.84      ( p37(X91,X92)
% 0.62/0.84      | ~ p38(X91)
% 0.62/0.84      | ~ p38(X92)
% 0.62/0.84      | ~ p39(f19(X91),f19(X92)) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p42_47,negated_conjecture,
% 0.62/0.84      ( p42(X109,X110)
% 0.62/0.84      | ~ p16(X112,X110)
% 0.62/0.84      | ~ p42(X111,X112)
% 0.62/0.84      | ~ p16(X111,X109) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p33_48,negated_conjecture,
% 0.62/0.84      ( p33(X77,X78)
% 0.62/0.84      | ~ p32(X80,X78)
% 0.62/0.84      | ~ p33(X79,X80)
% 0.62/0.84      | ~ p32(X79,X77) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p35_49,negated_conjecture,
% 0.62/0.84      ( p35(X83,X84)
% 0.62/0.84      | ~ p10(X86,X84)
% 0.62/0.84      | ~ p35(X85,X86)
% 0.62/0.84      | ~ p10(X85,X83) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p36_50,negated_conjecture,
% 0.62/0.84      ( p36(X87,X88)
% 0.62/0.84      | ~ p10(X90,X88)
% 0.62/0.84      | ~ p36(X89,X90)
% 0.62/0.84      | ~ p10(X89,X87) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p37_51,negated_conjecture,
% 0.62/0.84      ( p37(X93,X94)
% 0.62/0.84      | ~ p10(X96,X94)
% 0.62/0.84      | ~ p37(X95,X96)
% 0.62/0.84      | ~ p10(X95,X93) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p39_52,negated_conjecture,
% 0.62/0.84      ( p39(X99,X100)
% 0.62/0.84      | ~ p16(X102,X100)
% 0.62/0.84      | ~ p39(X101,X102)
% 0.62/0.84      | ~ p16(X101,X99) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p41_53,negated_conjecture,
% 0.62/0.84      ( p41(X105,X106)
% 0.62/0.84      | ~ p2(X108,X106)
% 0.62/0.84      | ~ p41(X107,X108)
% 0.62/0.84      | ~ p2(X107,X105) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p39_54,negated_conjecture,
% 0.62/0.84      ( p39(f19(X91),f19(X92))
% 0.62/0.84      | ~ p38(X92)
% 0.62/0.84      | ~ p38(X91)
% 0.62/0.84      | ~ p37(X91,X92) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p9_55,negated_conjecture,
% 0.62/0.84      ( p9(f13(X116,X117),f13(X118,X119))
% 0.62/0.84      | ~ p12(X117,X119)
% 0.62/0.84      | ~ p2(X116,X118) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p10_56,negated_conjecture,
% 0.62/0.84      ( p10(f20(X7,X8),f20(X9,X10))
% 0.62/0.84      | ~ p10(X7,X9)
% 0.62/0.84      | ~ p10(X8,X10) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p12_57,negated_conjecture,
% 0.62/0.84      ( p12(f14(X14,X15),f14(X16,X17))
% 0.62/0.84      | ~ p2(X14,X16)
% 0.62/0.84      | ~ p2(X15,X17) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_58,negated_conjecture,
% 0.62/0.84      ( p16(f21(X28,X29),f21(X30,X31))
% 0.62/0.84      | ~ p16(X28,X30)
% 0.62/0.84      | ~ p16(X29,X31) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_59,negated_conjecture,
% 0.62/0.84      ( p16(f25(X38,X39),f25(X40,X41))
% 0.62/0.84      | ~ p16(X38,X40)
% 0.62/0.84      | ~ p16(X39,X41) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_60,negated_conjecture,
% 0.62/0.84      ( p16(f29(X44,X45),f29(X46,X47))
% 0.62/0.84      | ~ p16(X44,X46)
% 0.62/0.84      | ~ p16(X45,X47) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p16_61,negated_conjecture,
% 0.62/0.84      ( p16(f30(X48,X49),f30(X50,X51))
% 0.62/0.84      | ~ p16(X48,X50)
% 0.62/0.84      | ~ p2(X49,X51) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p2_62,negated_conjecture,
% 0.62/0.84      ( p2(f8(X65,X66),f8(X67,X68))
% 0.62/0.84      | ~ p2(X66,X68)
% 0.62/0.84      | ~ p2(X65,X67) ) ).
% 0.62/0.84  
% 0.62/0.84  cnf(p3_63,negated_conjecture,
% 0.62/0.85      p3(c45,f4(f8(f5(f6(f7(c44))),f5(f7(f6(f6(f7(c44)))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(f11_is_p38_64,negated_conjecture,
% 0.62/0.85      p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_65,negated_conjecture,
% 0.62/0.85      p10(c46,f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_66,negated_conjecture,
% 0.62/0.85      p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(f20_is_p40_67,negated_conjecture,
% 0.62/0.85      p40(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56)) ).
% 0.62/0.85  
% 0.62/0.85  cnf(f20_is_p38_68,negated_conjecture,
% 0.62/0.85      p38(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56)) ).
% 0.62/0.85  
% 0.62/0.85  cnf(not_p39_69,negated_conjecture,
% 0.62/0.85      ~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_70,negated_conjecture,
% 0.62/0.85      p10(c52,f11(f13(f5(c44),f14(f5(f6(f7(f7(f7(f7(f7(f7(c44)))))))),f5(f6(f6(f7(f6(f6(f6(f7(c44)))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p39_71,negated_conjecture,
% 0.62/0.85      p39(f19(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56)),f24(f5(f6(f7(c44))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p39_72,negated_conjecture,
% 0.62/0.85      p39(f23(f24(f5(f6(f7(c44))))),f19(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p2_73,negated_conjecture,
% 0.62/0.85      p2(f26(f27(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56))),f5(f6(f7(f7(f7(f7(f7(f7(c44))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p39_74,negated_conjecture,
% 0.62/0.85      p39(f21(f19(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44))))),f19(c56)),f25(f24(f5(f6(f7(c44)))),f23(f24(f5(f6(f6(f7(c44)))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p39_75,negated_conjecture,
% 0.62/0.85      p39(f21(f23(f24(f5(f6(f7(c44))))),f23(f24(f5(f6(f6(f7(c44))))))),f21(f19(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44))))),f19(c56))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_76,negated_conjecture,
% 0.62/0.85      p10(c50,f11(f13(f5(c44),f14(f5(f7(f6(f6(f7(f7(f7(f7(c44)))))))),f5(f6(f6(f6(f6(f6(f6(f6(f6(f6(f7(f6(f6(f7(f7(f7(f6(f7(f6(f6(f6(f7(f7(c44))))))))))))))))))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_77,negated_conjecture,
% 0.62/0.85      p10(c53,f11(f13(f5(c44),f14(f5(f6(f6(f7(f7(f7(f7(f7(c44)))))))),f5(f6(f6(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(f6(f7(c44))))))))))))))))))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_78,negated_conjecture,
% 0.62/0.85      p10(c51,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f7(f7(f7(f7(f6(f7(f7(f7(f7(f7(f7(f7(c44))))))))))))))))))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_79,negated_conjecture,
% 0.62/0.85      p10(c49,f11(f13(f5(c44),f14(f5(f6(f6(f7(f6(f6(f6(f6(f7(c44))))))))),f5(f7(f7(f6(f7(f7(f7(f6(f6(f6(f7(f6(f7(f6(f7(f6(f7(f6(f6(f6(f7(f7(f7(c44))))))))))))))))))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p10_80,negated_conjecture,
% 0.62/0.85      p10(c47,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f6(f6(f7(c44))))))))),f5(f6(f7(f6(f7(f7(f7(f6(f7(f7(f7(f6(f7(f6(f7(f7(f6(f6(f6(f7(f7(f7(f6(f7(c44)))))))))))))))))))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p42_81,negated_conjecture,
% 0.62/0.85      p42(f29(f30(f24(f5(f6(f7(c44)))),f5(f6(f7(f7(f7(f7(f7(f7(c44))))))))),f30(f24(f5(f6(f7(c44)))),f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))))),f28(f19(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56)))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p39_82,negated_conjecture,
% 0.62/0.85      p39(f28(f19(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56))),f29(f30(f24(f5(f6(f7(c44)))),f31(f5(f6(f7(f7(f7(f7(f7(f7(c44)))))))))),f30(f24(f5(f6(f7(c44)))),f5(f7(f7(f7(f7(f7(f7(f7(c44))))))))))) ).
% 0.62/0.85  
% 0.62/0.85  cnf(p16_83,negated_conjecture,
% 0.62/0.85      p16(f19(f20(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44)))),c56)),f21(f21(f19(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44))))),f19(c56)),f22(f21(f19(f11(f13(f5(c44),f14(f5(f7(f7(f7(f7(f7(f7(f7(c44)))))))),f5(c44))))),f19(c56))))) ).
% 0.62/0.85  
% 0.62/0.85  %--------------------------------------------------------------------------
% 0.62/0.85  %-------------------------------------------
% 0.62/0.85  % Proof found
% 0.62/0.85  % SZS status Theorem for theBenchmark
% 0.62/0.85  % SZS output start Proof
% 0.62/0.85  %ClaNum:83(EqnAxiom:0)
% 0.62/0.85  %VarNum:269(SingletonVarNum:132)
% 0.62/0.85  %MaxLitNum:4
% 0.62/0.85  %MaxfuncDepth:27
% 0.62/0.85  %SharedTerms:198
% 0.62/0.85  %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
% 0.62/0.85  %singleGoalClaCount:38
% 0.62/0.85  [1]P1(a1)
% 0.62/0.85  [2]P2(a2,a14)
% 0.62/0.85  [34]~P10(a1)
% 0.62/0.85  [35]~P11(a1,a17)
% 0.62/0.85  [36]~P11(a1,a18)
% 0.62/0.85  [10]P9(f15(a1),a3)
% 0.62/0.85  [37]~P12(f15(a1),a8)
% 0.62/0.85  [11]P14(f23(f22(a1)),f24(a16))
% 0.62/0.85  [15]P1(f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5)))))
% 0.62/0.85  [16]P3(a3,f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5)))))
% 0.62/0.85  [17]P3(a7,f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))))
% 0.62/0.85  [19]P1(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))
% 0.62/0.85  [20]P16(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))
% 0.62/0.85  [38]~P14(f39(f22(a1)),f22(f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5))))))
% 0.62/0.85  [21]P14(f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1)),f30(f27(f26(f25(a5)))))
% 0.62/0.85  [22]P14(f31(f30(f27(f26(f25(a5))))),f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1)))
% 0.62/0.85  [28]P7(f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1)),f32(f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1)),f33(f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1)))))
% 0.62/0.85  [12]P5(a4,f28(f41(f27(f26(f25(a5))),f27(f25(f26(f26(f25(a5))))))))
% 0.62/0.85  [23]P14(f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1)),f34(f30(f27(f26(f25(a5)))),f31(f30(f27(f26(f26(f25(a5))))))))
% 0.62/0.85  [24]P14(f32(f31(f30(f27(f26(f25(a5))))),f31(f30(f27(f26(f26(f25(a5))))))),f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1)))
% 0.62/0.85  [13]P5(a6,f28(f27(f26(f26(f26(f26(f26(f25(a5)))))))))
% 0.62/0.85  [14]P15(f27(a5),f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))))
% 0.62/0.85  [25]P6(f36(f35(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))),f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))))
% 0.62/0.85  [26]P17(f38(f37(f30(f27(f26(f25(a5)))),f27(f26(f25(f25(f25(f25(f25(f25(a5))))))))),f37(f30(f27(f26(f25(a5)))),f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))))),f39(f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))))
% 0.62/0.85  [27]P14(f39(f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))),f38(f37(f30(f27(f26(f25(a5)))),f40(f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))))),f37(f30(f27(f26(f25(a5)))),f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))))))
% 0.62/0.85  [18]P3(a9,f21(f20(f27(a5),f19(f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))),f27(f26(f26(f25(f26(f26(f26(f25(a5))))))))))))
% 0.62/0.85  [29]P3(a10,f21(f20(f27(a5),f19(f27(f25(f26(f26(f25(f25(f25(f25(a5)))))))),f27(f26(f26(f26(f26(f26(f26(f26(f26(f26(f25(f26(f26(f25(f25(f25(f26(f25(f26(f26(f26(f25(f25(a5)))))))))))))))))))))))))))
% 0.62/0.85  [30]P3(a13,f21(f20(f27(a5),f19(f27(f26(f26(f25(f25(f25(f25(f25(a5)))))))),f27(f26(f26(f25(f25(f26(f25(f25(f25(f26(f25(f26(f25(f26(f25(f26(f25(f26(f25(f26(f25(f26(f25(a5)))))))))))))))))))))))))))
% 0.62/0.85  [31]P3(a12,f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(f26(f25(f25(f25(f26(f26(f26(f25(f26(f25(f25(f25(f25(f25(f26(f25(f25(f25(f25(f25(f25(f25(a5)))))))))))))))))))))))))))
% 0.62/0.85  [32]P3(a11,f21(f20(f27(a5),f19(f27(f26(f26(f25(f26(f26(f26(f26(f25(a5))))))))),f27(f25(f25(f26(f25(f25(f25(f26(f26(f26(f25(f26(f25(f26(f25(f26(f25(f26(f26(f26(f25(f25(f25(a5)))))))))))))))))))))))))))
% 0.62/0.85  [33]P3(a8,f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f26(f26(f25(a5))))))))),f27(f26(f25(f26(f25(f25(f25(f26(f25(f25(f25(f26(f25(f26(f25(f25(f26(f26(f26(f25(f25(f25(f26(f25(a5))))))))))))))))))))))))))))
% 0.62/0.85  [3]P3(x31,x31)
% 0.62/0.85  [4]P13(x41,x41)
% 0.62/0.85  [5]P4(x51,x51)
% 0.62/0.85  [6]P5(x61,x61)
% 0.62/0.85  [7]P6(x71,x71)
% 0.62/0.85  [8]P7(x81,x81)
% 0.62/0.85  [9]P8(x91,x91)
% 0.62/0.85  [39]~P1(x391)+P1(f15(x391))
% 0.62/0.85  [59]~P1(x591)+P7(f22(f15(x591)),f39(f22(x591)))
% 0.62/0.85  [43]~P3(x431,x432)+P3(f15(x431),f15(x432))
% 0.62/0.85  [44]~P13(x441,x442)+P3(f21(x441),f21(x442))
% 0.62/0.85  [45]~P3(x451,x452)+P13(f35(x451),f35(x452))
% 0.62/0.85  [46]~P6(x461,x462)+P5(f28(x461),f28(x462))
% 0.62/0.85  [47]~P6(x471,x472)+P6(f25(x471),f25(x472))
% 0.62/0.85  [48]~P6(x481,x482)+P6(f26(x481),f26(x482))
% 0.62/0.85  [49]~P6(x491,x492)+P6(f27(x491),f27(x492))
% 0.62/0.85  [50]~P6(x501,x502)+P6(f40(x501),f40(x502))
% 0.62/0.85  [51]~P13(x511,x512)+P6(f36(x511),f36(x512))
% 0.62/0.85  [52]~P3(x521,x522)+P7(f22(x521),f22(x522))
% 0.62/0.85  [53]~P7(x531,x532)+P7(f23(x531),f23(x532))
% 0.62/0.85  [54]~P8(x541,x542)+P7(f24(x541),f24(x542))
% 0.62/0.85  [55]~P7(x551,x552)+P7(f39(x551),f39(x552))
% 0.62/0.85  [56]~P6(x561,x562)+P7(f30(x561),f30(x562))
% 0.62/0.85  [57]~P7(x571,x572)+P7(f31(x571),f31(x572))
% 0.62/0.85  [58]~P7(x581,x582)+P7(f33(x581),f33(x582))
% 0.62/0.85  [40]~P3(x402,x401)+P1(x401)+~P1(x402)
% 0.62/0.85  [41]~P3(x412,x411)+P10(x411)+~P10(x412)
% 0.62/0.85  [42]~P3(x422,x421)+P16(x421)+~P16(x422)
% 0.62/0.85  [60]~P3(x603,x601)+P3(x601,x602)+~P3(x603,x602)
% 0.62/0.85  [61]~P13(x613,x611)+P13(x611,x612)+~P13(x613,x612)
% 0.62/0.85  [62]~P4(x623,x621)+P4(x621,x622)+~P4(x623,x622)
% 0.62/0.85  [63]~P5(x633,x631)+P5(x631,x632)+~P5(x633,x632)
% 0.62/0.85  [64]~P6(x643,x641)+P6(x641,x642)+~P6(x643,x642)
% 0.62/0.85  [65]~P7(x653,x651)+P7(x651,x652)+~P7(x653,x652)
% 0.62/0.85  [66]~P8(x663,x661)+P8(x661,x662)+~P8(x663,x662)
% 0.62/0.85  [76]~P3(x762,x764)+~P3(x761,x763)+P3(f29(x761,x762),f29(x763,x764))
% 0.62/0.85  [77]~P6(x771,x773)+~P8(x772,x774)+P13(f20(x771,x772),f20(x773,x774))
% 0.62/0.85  [78]~P6(x782,x784)+~P6(x781,x783)+P6(f41(x781,x782),f41(x783,x784))
% 0.62/0.85  [79]~P7(x792,x794)+~P7(x791,x793)+P7(f32(x791,x792),f32(x793,x794))
% 0.62/0.85  [80]~P7(x802,x804)+~P7(x801,x803)+P7(f34(x801,x802),f34(x803,x804))
% 0.62/0.85  [81]~P7(x812,x814)+~P7(x811,x813)+P7(f38(x811,x812),f38(x813,x814))
% 0.62/0.85  [82]~P6(x822,x824)+~P7(x821,x823)+P7(f37(x821,x822),f37(x823,x824))
% 0.62/0.85  [83]~P6(x832,x834)+~P6(x831,x833)+P8(f19(x831,x832),f19(x833,x834))
% 0.62/0.85  [67]~P1(x672)+~P1(x671)+~P9(x671,x672)+P14(f22(x671),f22(x672))
% 0.62/0.85  [68]~P1(x682)+~P1(x681)+P9(x681,x682)+~P14(f22(x681),f22(x682))
% 0.62/0.85  [69]~P2(x693,x694)+P2(x691,x692)+~P4(x693,x691)+~P4(x694,x692)
% 0.62/0.85  [70]~P11(x703,x704)+P11(x701,x702)+~P3(x703,x701)+~P3(x704,x702)
% 0.62/0.85  [71]~P9(x713,x714)+P9(x711,x712)+~P3(x713,x711)+~P3(x714,x712)
% 0.62/0.85  [72]~P12(x723,x724)+P12(x721,x722)+~P3(x723,x721)+~P3(x724,x722)
% 0.62/0.85  [73]~P14(x733,x734)+P14(x731,x732)+~P7(x733,x731)+~P7(x734,x732)
% 0.62/0.85  [74]~P15(x743,x744)+P15(x741,x742)+~P6(x743,x741)+~P6(x744,x742)
% 0.62/0.85  [75]~P17(x753,x754)+P17(x751,x752)+~P7(x753,x751)+~P7(x754,x752)
% 0.62/0.85  %EqnAxiom
% 0.62/0.85  
% 0.62/0.85  %-------------------------------------------
% 0.62/0.85  cnf(85,plain,
% 0.62/0.85     (P7(f22(f15(a1)),f39(f22(a1)))),
% 0.62/0.85     inference(scs_inference,[],[1,39,59])).
% 0.62/0.85  cnf(92,plain,
% 0.62/0.85     (P7(f39(f22(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))),f39(f32(f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1)),f33(f32(f22(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5))))),f22(a1))))))),
% 0.62/0.85     inference(scs_inference,[],[1,25,28,39,59,58,57,56,55])).
% 0.62/0.85  cnf(114,plain,
% 0.62/0.85     (P8(f19(f36(f35(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))),f36(f35(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1)))),f19(f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))),f27(f26(f25(f25(f25(f25(f25(f25(a5))))))))))),
% 0.62/0.85     inference(scs_inference,[],[1,16,25,28,39,59,58,57,56,55,53,52,50,49,48,47,46,45,44,43,83])).
% 0.62/0.85  cnf(116,plain,
% 0.62/0.85     (P7(f37(x1161,f36(f35(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1)))),f37(x1161,f27(f26(f25(f25(f25(f25(f25(f25(a5))))))))))),
% 0.62/0.85     inference(scs_inference,[],[1,8,16,25,28,39,59,58,57,56,55,53,52,50,49,48,47,46,45,44,43,83,82])).
% 0.62/0.85  cnf(126,plain,
% 0.62/0.85     (P13(f20(f36(f35(f29(f21(f20(f27(a5),f19(f27(f25(f25(f25(f25(f25(f25(f25(a5)))))))),f27(a5)))),a1))),x1261),f20(f27(f26(f25(f25(f25(f25(f25(f25(a5)))))))),x1261))),
% 0.62/0.85     inference(scs_inference,[],[1,8,9,16,25,28,39,59,58,57,56,55,53,52,50,49,48,47,46,45,44,43,83,82,81,80,79,78,77])).
% 0.62/0.85  cnf(131,plain,
% 0.62/0.85     (P7(x1311,x1311)),
% 0.62/0.85     inference(rename_variables,[],[8])).
% 0.62/0.85  cnf(138,plain,
% 0.62/0.85     (P14(f22(f15(a1)),f22(f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5))))))),
% 0.62/0.85     inference(scs_inference,[],[1,3,8,131,9,10,16,15,22,25,26,28,39,59,58,57,56,55,53,52,50,49,48,47,46,45,44,43,83,82,81,80,79,78,77,76,75,73,71,67])).
% 0.62/0.85  cnf(170,plain,
% 0.62/0.85     (~P7(f22(f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5))))),f22(f21(f20(f27(a5),f19(f27(f26(f25(f25(f26(f26(f25(f25(a5)))))))),f27(a5))))))),
% 0.62/0.85     inference(scs_inference,[],[38,18,7,26,8,3,116,126,114,92,138,85,54,51,60,75,81,80,79,77,73])).
% 0.62/0.85  cnf(194,plain,
% 0.62/0.85     ($false),
% 0.62/0.85     inference(scs_inference,[],[170,8]),
% 0.62/0.85     ['proof']).
% 0.62/0.85  % SZS output end Proof
% 0.62/0.85  % Total time :0.120000s
%------------------------------------------------------------------------------