TSTP Solution File: SYN647-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN647-1 : 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 : n023.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 01:46:46 EDT 2023

% Result   : Unsatisfiable 0.51s 0.99s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN647-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 19:20:41 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.46/0.54  start to proof:theBenchmark
% 0.51/0.98  %-------------------------------------------
% 0.51/0.98  % File        :CSE---1.6
% 0.51/0.98  % Problem     :theBenchmark
% 0.51/0.98  % Transform   :cnf
% 0.51/0.98  % Format      :tptp:raw
% 0.51/0.98  % Command     :java -jar mcs_scs.jar %d %s
% 0.51/0.98  
% 0.51/0.98  % Result      :Theorem 0.370000s
% 0.51/0.98  % Output      :CNFRefutation 0.370000s
% 0.51/0.98  %-------------------------------------------
% 0.51/0.99  %--------------------------------------------------------------------------
% 0.51/0.99  % File     : SYN647-1 : TPTP v8.1.2. Released v2.5.0.
% 0.51/0.99  % Domain   : Syntactic
% 0.51/0.99  % Problem  : Harrison problem 4392
% 0.51/0.99  % Version  : Especial.
% 0.51/0.99  % English  :
% 0.51/0.99  
% 0.51/0.99  % Refs     : [Har01] Email to G. Sutcliffe
% 0.51/0.99  % Source   : [Har01]
% 0.51/0.99  % Names    :
% 0.51/0.99  
% 0.51/0.99  % Status   : Unsatisfiable
% 0.51/0.99  % Rating   : 0.29 v8.1.0, 0.50 v6.1.0, 0.43 v6.0.0, 0.33 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.55 v5.2.0, 0.46 v5.1.0, 0.44 v5.0.0, 0.33 v4.1.0, 0.40 v4.0.1, 0.43 v3.7.0, 0.29 v3.4.0, 0.40 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.38 v2.6.0, 0.17 v2.5.0
% 0.51/0.99  % Syntax   : Number of clauses     :   44 (  22 unt;   0 nHn;  39 RR)
% 0.51/0.99  %            Number of literals    :   85 (   0 equ;  43 neg)
% 0.51/0.99  %            Maximal clause size   :    5 (   1 avg)
% 0.51/0.99  %            Maximal term depth    :   27 (   6 avg)
% 0.51/0.99  %            Number of predicates  :    9 (   9 usr;   0 prp; 1-2 aty)
% 0.51/0.99  %            Number of functors    :   15 (  15 usr;   4 con; 0-2 aty)
% 0.51/0.99  %            Number of variables   :   64 (   0 sgn)
% 0.51/0.99  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.51/0.99  
% 0.51/0.99  % Comments :
% 0.51/0.99  %--------------------------------------------------------------------------
% 0.51/0.99  cnf(c22_is_p18_1,negated_conjecture,
% 0.51/0.99      p18(c22) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p10_2,negated_conjecture,
% 0.51/0.99      p10(X0,X0) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_3,negated_conjecture,
% 0.51/0.99      p4(X48,X48) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p3_4,negated_conjecture,
% 0.51/0.99      p3(X41,X41) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_5,negated_conjecture,
% 0.51/0.99      p2(X16,X16) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p16_6,negated_conjecture,
% 0.51/0.99      p16(X5,X5) ).
% 0.51/0.99  
% 0.51/0.99  cnf(not_p21_7,negated_conjecture,
% 0.51/0.99      ~ p21(f17(c25),f17(c22)) ).
% 0.51/0.99  
% 0.51/0.99  cnf(not_p21_8,negated_conjecture,
% 0.51/0.99      ~ p21(f17(c22),f17(c23)) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_9,negated_conjecture,
% 0.51/0.99      p2(f12(f11(c22)),f7(c24)) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_10,negated_conjecture,
% 0.51/0.99      p2(f12(f11(c25)),f7(c24)) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_11,negated_conjecture,
% 0.51/0.99      p2(f12(f11(c23)),f7(c24)) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p20_12,negated_conjecture,
% 0.51/0.99      p20(f14(f11(c25)),f14(f11(c22))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p19_13,negated_conjecture,
% 0.51/0.99      p19(f14(f11(c23)),f14(f11(c22))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_14,negated_conjecture,
% 0.51/0.99      p2(f13(f11(c23)),f13(f11(c22))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p18_15,negated_conjecture,
% 0.51/0.99      ( p18(X10)
% 0.51/0.99      | ~ p18(X11)
% 0.51/0.99      | ~ p10(X11,X10) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_16,negated_conjecture,
% 0.51/0.99      ( p4(f11(X51),f11(X52))
% 0.51/0.99      | ~ p10(X51,X52) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p10_17,negated_conjecture,
% 0.51/0.99      ( p10(f15(X3),f15(X4))
% 0.51/0.99      | ~ p4(X3,X4) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p16_18,negated_conjecture,
% 0.51/0.99      ( p16(f17(X8),f17(X9))
% 0.51/0.99      | ~ p10(X8,X9) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_19,negated_conjecture,
% 0.51/0.99      ( p2(f12(X19),f12(X20))
% 0.51/0.99      | ~ p4(X19,X20) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_20,negated_conjecture,
% 0.51/0.99      ( p2(f13(X21),f13(X22))
% 0.51/0.99      | ~ p4(X21,X22) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_21,negated_conjecture,
% 0.51/0.99      ( p2(f14(X23),f14(X24))
% 0.51/0.99      | ~ p4(X23,X24) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_22,negated_conjecture,
% 0.51/0.99      ( p2(f7(X25),f7(X26))
% 0.51/0.99      | ~ p2(X25,X26) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_23,negated_conjecture,
% 0.51/0.99      ( p2(f8(X27),f8(X28))
% 0.51/0.99      | ~ p2(X27,X28) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_24,negated_conjecture,
% 0.51/0.99      ( p2(f9(X29),f9(X30))
% 0.51/0.99      | ~ p2(X29,X30) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p10_25,negated_conjecture,
% 0.51/0.99      ( p10(X1,X2)
% 0.51/0.99      | ~ p10(X0,X1)
% 0.51/0.99      | ~ p10(X0,X2) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_26,negated_conjecture,
% 0.51/0.99      ( p4(X49,X50)
% 0.51/0.99      | ~ p4(X48,X49)
% 0.51/0.99      | ~ p4(X48,X50) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p3_27,negated_conjecture,
% 0.51/0.99      ( p3(X42,X43)
% 0.51/0.99      | ~ p3(X41,X42)
% 0.51/0.99      | ~ p3(X41,X43) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_28,negated_conjecture,
% 0.51/0.99      ( p2(X17,X18)
% 0.51/0.99      | ~ p2(X16,X17)
% 0.51/0.99      | ~ p2(X16,X18) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p16_29,negated_conjecture,
% 0.51/0.99      ( p16(X6,X7)
% 0.51/0.99      | ~ p16(X5,X6)
% 0.51/0.99      | ~ p16(X5,X7) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p19_30,negated_conjecture,
% 0.51/0.99      ( p19(X12,X13)
% 0.51/0.99      | ~ p2(X14,X12)
% 0.51/0.99      | ~ p2(X15,X13)
% 0.51/0.99      | ~ p19(X14,X15) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p21_31,negated_conjecture,
% 0.51/0.99      ( p21(X35,X36)
% 0.51/0.99      | ~ p16(X38,X36)
% 0.51/0.99      | ~ p21(X37,X38)
% 0.51/0.99      | ~ p16(X37,X35) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p20_32,negated_conjecture,
% 0.51/0.99      ( p20(X31,X32)
% 0.51/0.99      | ~ p2(X34,X32)
% 0.51/0.99      | ~ p20(X33,X34)
% 0.51/0.99      | ~ p2(X33,X31) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_33,negated_conjecture,
% 0.51/0.99      ( p4(f5(X53,X54),f5(X55,X56))
% 0.51/0.99      | ~ p2(X53,X55)
% 0.51/0.99      | ~ p3(X54,X56) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p3_34,negated_conjecture,
% 0.51/0.99      ( p3(f6(X44,X45),f6(X46,X47))
% 0.51/0.99      | ~ p2(X44,X46)
% 0.51/0.99      | ~ p2(X45,X47) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_35,negated_conjecture,
% 0.51/0.99      p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_36,negated_conjecture,
% 0.51/0.99      p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p21_37,negated_conjecture,
% 0.51/0.99      ( p21(f17(X39),f17(X40))
% 0.51/0.99      | ~ p2(f12(f11(X40)),f7(c24))
% 0.51/0.99      | ~ p2(f12(f11(X39)),f7(c24))
% 0.51/0.99      | ~ p19(f13(f11(X39)),f13(f11(X40))) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_38,negated_conjecture,
% 0.51/0.99      p2(f14(f11(c23)),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p2_39,negated_conjecture,
% 0.51/0.99      p2(f14(f11(c25)),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p21_40,negated_conjecture,
% 0.51/0.99      ( p21(f17(X39),f17(X40))
% 0.51/0.99      | ~ p2(f12(f11(X39)),f7(c24))
% 0.51/0.99      | ~ p2(f12(f11(X40)),f7(c24))
% 0.51/0.99      | ~ p2(f13(f11(X39)),f13(f11(X40)))
% 0.51/0.99      | ~ p20(f14(f11(X39)),f14(f11(X40))) ) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_41,negated_conjecture,
% 0.51/0.99      p4(f11(c25),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p4_42,negated_conjecture,
% 0.51/0.99      p4(f11(c23),f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p10_43,negated_conjecture,
% 0.51/0.99      p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f8(f8(f8(f9(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c23) ).
% 0.51/0.99  
% 0.51/0.99  cnf(p10_44,negated_conjecture,
% 0.51/0.99      p10(f15(f5(f7(c24),f6(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f7(f9(f9(f9(f8(f8(f9(f9(f9(f9(f8(f9(f9(f8(f8(f8(f9(f8(f9(f9(f9(f8(f8(c24)))))))))))))))))))))))))),c25) ).
% 0.51/0.99  
% 0.51/0.99  %--------------------------------------------------------------------------
% 0.51/0.99  %-------------------------------------------
% 0.51/0.99  % Proof found
% 0.51/0.99  % SZS status Theorem for theBenchmark
% 0.51/0.99  % SZS output start Proof
% 0.51/0.99  %ClaNum:44(EqnAxiom:0)
% 0.51/0.99  %VarNum:134(SingletonVarNum:64)
% 0.51/0.99  %MaxLitNum:5
% 0.51/0.99  %MaxfuncDepth:26
% 0.51/0.99  %SharedTerms:78
% 0.51/0.99  %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
% 0.51/0.99  %singleGoalClaCount:22
% 0.51/0.99  [1]P1(a1)
% 0.51/0.99  [21]~P9(f13(a1),f13(a4))
% 0.51/0.99  [22]~P9(f13(a5),f13(a1))
% 0.51/0.99  [7]P6(f6(f2(a1)),f7(a3))
% 0.51/0.99  [8]P6(f6(f2(a5)),f7(a3))
% 0.51/1.00  [9]P6(f6(f2(a4)),f7(a3))
% 0.51/1.00  [10]P6(f8(f2(a4)),f8(f2(a1)))
% 0.51/1.00  [11]P8(f9(f2(a5)),f9(f2(a1)))
% 0.51/1.00  [12]P7(f9(f2(a4)),f9(f2(a1)))
% 0.51/1.00  [13]P6(f8(f2(a5)),f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))))
% 0.51/1.00  [14]P6(f8(f2(a4)),f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))))
% 0.51/1.00  [15]P6(f9(f2(a5)),f7(f15(f15(f15(f14(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3))))))))))))))))))))))))
% 0.51/1.00  [16]P6(f9(f2(a4)),f7(f14(f14(f14(f15(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3))))))))))))))))))))))))
% 0.51/1.00  [17]P4(f2(a5),f11(f7(a3),f10(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f7(f15(f15(f15(f14(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3))))))))))))))))))))))))))
% 0.51/1.00  [18]P4(f2(a4),f11(f7(a3),f10(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f7(f14(f14(f14(f15(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3))))))))))))))))))))))))))
% 0.51/1.00  [19]P2(f12(f11(f7(a3),f10(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f7(f14(f14(f14(f15(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3)))))))))))))))))))))))))),a4)
% 0.51/1.00  [20]P2(f12(f11(f7(a3),f10(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f7(f15(f15(f15(f14(f14(f15(f15(f15(f15(f14(f15(f15(f14(f14(f14(f15(f14(f15(f15(f15(f14(f14(a3)))))))))))))))))))))))))),a5)
% 0.51/1.00  [2]P2(x21,x21)
% 0.51/1.00  [3]P4(x31,x31)
% 0.51/1.00  [4]P5(x41,x41)
% 0.51/1.00  [5]P6(x51,x51)
% 0.51/1.00  [6]P3(x61,x61)
% 0.51/1.00  [24]~P4(x241,x242)+P2(f12(x241),f12(x242))
% 0.51/1.00  [25]~P2(x251,x252)+P4(f2(x251),f2(x252))
% 0.51/1.00  [26]~P4(x261,x262)+P6(f6(x261),f6(x262))
% 0.51/1.00  [27]~P6(x271,x272)+P6(f7(x271),f7(x272))
% 0.51/1.00  [28]~P4(x281,x282)+P6(f9(x281),f9(x282))
% 0.51/1.00  [29]~P4(x291,x292)+P6(f8(x291),f8(x292))
% 0.51/1.00  [30]~P6(x301,x302)+P6(f14(x301),f14(x302))
% 0.51/1.00  [31]~P6(x311,x312)+P6(f15(x311),f15(x312))
% 0.51/1.00  [32]~P2(x321,x322)+P3(f13(x321),f13(x322))
% 0.51/1.00  [23]~P2(x232,x231)+P1(x231)+~P1(x232)
% 0.51/1.00  [33]~P2(x333,x331)+P2(x331,x332)+~P2(x333,x332)
% 0.51/1.00  [34]~P4(x343,x341)+P4(x341,x342)+~P4(x343,x342)
% 0.51/1.00  [35]~P5(x353,x351)+P5(x351,x352)+~P5(x353,x352)
% 0.51/1.00  [36]~P6(x363,x361)+P6(x361,x362)+~P6(x363,x362)
% 0.51/1.00  [37]~P3(x373,x371)+P3(x371,x372)+~P3(x373,x372)
% 0.51/1.00  [41]~P5(x412,x414)+~P6(x411,x413)+P4(f11(x411,x412),f11(x413,x414))
% 0.51/1.00  [42]~P6(x422,x424)+~P6(x421,x423)+P5(f10(x421,x422),f10(x423,x424))
% 0.51/1.00  [43]P9(f13(x431),f13(x432))+~P7(f8(f2(x431)),f8(f2(x432)))+~P6(f6(f2(x432)),f7(a3))+~P6(f6(f2(x431)),f7(a3))
% 0.51/1.00  [38]~P9(x383,x384)+P9(x381,x382)+~P3(x383,x381)+~P3(x384,x382)
% 0.51/1.00  [39]~P8(x393,x394)+P8(x391,x392)+~P6(x393,x391)+~P6(x394,x392)
% 0.51/1.00  [40]~P7(x404,x403)+P7(x401,x402)+~P6(x403,x402)+~P6(x404,x401)
% 0.51/1.00  [44]P9(f13(x441),f13(x442))+~P6(f8(f2(x441)),f8(f2(x442)))+~P8(f9(f2(x441)),f9(f2(x442)))+~P6(f6(f2(x442)),f7(a3))+~P6(f6(f2(x441)),f7(a3))
% 0.51/1.00  %EqnAxiom
% 0.51/1.00  
% 0.51/1.00  %-------------------------------------------
% 0.51/1.00  cnf(46,plain,
% 0.51/1.00     (P6(f14(f6(f2(a1))),f14(f7(a3)))),
% 0.51/1.00     inference(scs_inference,[],[7,31,30])).
% 0.51/1.00  cnf(47,plain,
% 0.51/1.00     (P6(f7(f6(f2(a1))),f7(f7(a3)))),
% 0.51/1.00     inference(scs_inference,[],[7,31,30,27])).
% 0.51/1.00  cnf(49,plain,
% 0.51/1.00     (P5(f10(f6(f2(a1)),f6(f2(a1))),f10(f7(a3),f7(a3)))),
% 0.51/1.00     inference(scs_inference,[],[7,31,30,27,42])).
% 0.51/1.00  cnf(51,plain,
% 0.51/1.00     (P4(f11(x511,f10(f6(f2(a1)),f6(f2(a1)))),f11(x511,f10(f7(a3),f7(a3))))),
% 0.51/1.00     inference(scs_inference,[],[5,7,31,30,27,42,41])).
% 0.51/1.00  cnf(64,plain,
% 0.51/1.00     (P6(f8(f11(x641,f10(f6(f2(a1)),f6(f2(a1))))),f8(f11(x641,f10(f7(a3),f7(a3)))))),
% 0.51/1.00     inference(scs_inference,[],[51,29])).
% 0.51/1.00  cnf(68,plain,
% 0.51/1.00     (P6(f6(f11(x681,f10(f6(f2(a1)),f6(f2(a1))))),f6(f11(x681,f10(f7(a3),f7(a3)))))),
% 0.51/1.00     inference(scs_inference,[],[51,29,28,26])).
% 0.51/1.00  cnf(70,plain,
% 0.51/1.00     (P2(f12(f11(x701,f10(f6(f2(a1)),f6(f2(a1))))),f12(f11(x701,f10(f7(a3),f7(a3)))))),
% 0.51/1.00     inference(scs_inference,[],[51,29,28,26,24])).
% 0.51/1.00  cnf(77,plain,
% 0.51/1.00     (P4(f11(f6(f2(a5)),x771),f11(f7(a3),x771))),
% 0.51/1.00     inference(scs_inference,[],[4,8,5,51,29,28,26,24,36,42,41])).
% 0.51/1.00  cnf(79,plain,
% 0.51/1.00     (~P6(f8(f2(a5)),f8(f2(a1)))),
% 0.51/1.00     inference(scs_inference,[],[4,22,8,11,5,7,51,29,28,26,24,36,42,41,44])).
% 0.51/1.00  cnf(117,plain,
% 0.51/1.00     (P4(f2(f12(f11(x1171,f10(f6(f2(a1)),f6(f2(a1)))))),f2(f12(f11(x1171,f10(f7(a3),f7(a3))))))),
% 0.51/1.00     inference(scs_inference,[],[70,77,29,25])).
% 0.51/1.00  cnf(133,plain,
% 0.51/1.00     (P3(f13(f12(f11(x1331,f10(f6(f2(a1)),f6(f2(a1)))))),f13(f12(f11(x1331,f10(f7(a3),f7(a3))))))),
% 0.51/1.00     inference(scs_inference,[],[70,32])).
% 0.51/1.00  cnf(137,plain,
% 0.51/1.00     (P2(f12(f2(f12(f11(x1371,f10(f6(f2(a1)),f6(f2(a1))))))),f12(f2(f12(f11(x1371,f10(f7(a3),f7(a3)))))))),
% 0.51/1.00     inference(scs_inference,[],[117,70,32,26,24])).
% 0.51/1.00  cnf(147,plain,
% 0.51/1.00     (P4(f11(f8(f2(a5)),x1471),f11(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),x1471))),
% 0.51/1.00     inference(scs_inference,[],[13,4,10,9,7,117,70,32,26,24,28,42,44,40,41])).
% 0.51/1.00  cnf(151,plain,
% 0.51/1.00     (~P7(f8(f2(a5)),f8(f2(a1)))),
% 0.51/1.00     inference(scs_inference,[],[13,4,10,22,9,8,7,117,70,32,26,24,28,42,44,40,41,38,43])).
% 0.51/1.00  cnf(163,plain,
% 0.51/1.00     (P4(f2(f12(f2(f12(f11(x1631,f10(f6(f2(a1)),f6(f2(a1)))))))),f2(f12(f2(f12(f11(x1631,f10(f7(a3),f7(a3))))))))),
% 0.51/1.00     inference(scs_inference,[],[137,147,29,25])).
% 0.51/1.00  cnf(178,plain,
% 0.51/1.00     (~P6(f8(f2(a1)),f8(f2(a5)))),
% 0.51/1.00     inference(scs_inference,[],[5,49,79,4,35,36])).
% 0.51/1.00  cnf(205,plain,
% 0.51/1.00     (P2(f12(f2(f12(f2(f12(f11(x2051,f10(f6(f2(a1)),f6(f2(a1))))))))),f12(f2(f12(f2(f12(f11(x2051,f10(f7(a3),f7(a3)))))))))),
% 0.51/1.00     inference(scs_inference,[],[163,137,32,24])).
% 0.51/1.00  cnf(211,plain,
% 0.51/1.00     (P4(f11(f7(f6(f2(a1))),f10(f6(f2(a1)),f6(f2(a1)))),f11(f7(f7(a3)),f10(f7(a3),f7(a3))))),
% 0.51/1.00     inference(scs_inference,[],[49,47,41])).
% 0.51/1.00  cnf(227,plain,
% 0.51/1.00     (P4(f2(f12(f2(f12(f2(f12(f11(x2271,f10(f6(f2(a1)),f6(f2(a1)))))))))),f2(f12(f2(f12(f2(f12(f11(x2271,f10(f7(a3),f7(a3))))))))))),
% 0.51/1.00     inference(scs_inference,[],[15,49,14,46,205,211,42,29,41,39,25])).
% 0.51/1.00  cnf(232,plain,
% 0.51/1.00     (~P7(f8(f2(a5)),f8(f2(a4)))),
% 0.51/1.00     inference(scs_inference,[],[10,133,151,6,5,37,40])).
% 0.51/1.00  cnf(248,plain,
% 0.51/1.00     (~P6(f8(f2(a4)),f8(f2(a5)))),
% 0.51/1.00     inference(scs_inference,[],[10,178,36])).
% 0.51/1.00  cnf(260,plain,
% 0.51/1.00     (P2(f12(f2(f12(f2(f12(f2(f12(f11(x2601,f10(f6(f2(a1)),f6(f2(a1))))))))))),f12(f2(f12(f2(f12(f2(f12(f11(x2601,f10(f7(a3),f7(a3)))))))))))),
% 0.51/1.00     inference(scs_inference,[],[10,227,178,205,36,29,25,32,28,26,24])).
% 0.51/1.00  cnf(267,plain,
% 0.51/1.00     (~P6(f8(f2(a5)),f8(f2(a4)))),
% 0.51/1.00     inference(scs_inference,[],[248,5,36])).
% 0.51/1.00  cnf(295,plain,
% 0.51/1.00     (P4(f11(f6(f2(a4)),f10(f6(f2(a1)),f6(f2(a1)))),f11(f7(a3),f10(f7(a3),f7(a3))))),
% 0.51/1.00     inference(scs_inference,[],[9,49,5,42,31,30,27,36,41])).
% 0.51/1.00  cnf(312,plain,
% 0.51/1.00     (P2(f12(f11(f6(f2(a4)),f10(f6(f2(a1)),f6(f2(a1))))),f12(f11(f7(a3),f10(f7(a3),f7(a3)))))),
% 0.51/1.00     inference(scs_inference,[],[295,260,32,28,26,24])).
% 0.51/1.00  cnf(345,plain,
% 0.51/1.00     (P4(f11(f6(f11(x3451,f10(f6(f2(a1)),f6(f2(a1))))),f10(f6(f2(a1)),f6(f2(a1)))),f11(f6(f11(x3451,f10(f7(a3),f7(a3)))),f10(f7(a3),f7(a3))))),
% 0.51/1.00     inference(scs_inference,[],[68,49,41])).
% 0.51/1.00  cnf(371,plain,
% 0.51/1.00     (P4(f2(f12(f11(f6(f2(a4)),f10(f6(f2(a1)),f6(f2(a1)))))),f2(f12(f11(f7(a3),f10(f7(a3),f7(a3))))))),
% 0.51/1.00     inference(scs_inference,[],[16,64,49,345,312,42,32,26,28,24,41,29,25])).
% 0.51/1.00  cnf(382,plain,
% 0.51/1.00     (~P6(x3821,f8(f2(a5)))+~P7(x3821,f8(f2(a4)))),
% 0.51/1.00     inference(scs_inference,[],[232,5,40])).
% 0.51/1.00  cnf(395,plain,
% 0.51/1.00     (P6(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f8(f2(a5)))),
% 0.51/1.00     inference(scs_inference,[],[13,371,5,29,31,30,27,36])).
% 0.51/1.00  cnf(402,plain,
% 0.51/1.00     (~P6(f7(f14(f15(f14(f15(f15(f15(f15(f14(a3))))))))),f8(f2(a4)))),
% 0.51/1.00     inference(scs_inference,[],[395,267,382,36])).
% 0.51/1.00  cnf(422,plain,
% 0.51/1.00     ($false),
% 0.51/1.00     inference(scs_inference,[],[14,402,5,36]),
% 0.51/1.00     ['proof']).
% 0.51/1.00  % SZS output end Proof
% 0.51/1.00  % Total time :0.370000s
%------------------------------------------------------------------------------