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CSE---1.7.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:19:39 AM UTC 2026

% Result   : Theorem 5.54s 5.75s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.35  % Computer : n027.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit   : 300
% 0.08/0.35  % WCLimit    : 300
% 0.08/0.35  % DateTime   : Sat Sep  5 16:27:43 UTC 2026
% 0.08/0.35  % CPUTime    : 
% 0.24/0.52  start to proof:theBenchmark
% 5.54/5.73  %-------------------------------------------
% 5.54/5.73  % File        :CSE---1.7
% 5.54/5.73  % Problem     :theBenchmark
% 5.54/5.73  % Transform   :cnf
% 5.54/5.73  % Format      :tptp:raw
% 5.54/5.73  % Command     :java -jar mcs_scs.jar %d %s
% 5.54/5.73  
% 5.54/5.73  % Result      :Theorem 5.199230s
% 5.54/5.73  % Output      :CNFRefutation 5.199230s
% 5.54/5.73  %-------------------------------------------
% 5.54/5.73  %------------------------------------------------------------------------------
% 5.54/5.73  % File     : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 5.54/5.73  % Domain   : Logic Calculi (Modal Logic)
% 5.54/5.73  % Problem  : In S4, formula provable in S5 embedding, size 10
% 5.54/5.73  % Version  : Especial.
% 5.54/5.73  % English  :
% 5.54/5.73  
% 5.54/5.73  % Refs     : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 5.54/5.73  %          : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 5.54/5.73  % Source   : [Kam08]
% 5.54/5.73  % Names    : s4_s5_p [BHS00]
% 5.54/5.73  
% 5.54/5.73  % Status   : Theorem
% 5.54/5.73  % Rating   : 0.00 v9.3.0, 0.05 v9.1.0, 0.13 v9.0.0, 0.06 v8.2.0, 0.07 v8.1.0, 0.00 v7.5.0, 0.10 v7.4.0, 0.06 v7.3.0, 0.14 v7.2.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.14 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0
% 5.54/5.73  % Syntax   : Number of formulae    :    3 (   1 unt;   0 def)
% 5.54/5.73  %            Number of atoms       :  294 (   0 equ)
% 5.54/5.73  %            Maximal formula atoms :  290 (  98 avg)
% 5.54/5.73  %            Number of connectives :  527 ( 236   ~; 177   |; 113   &)
% 5.54/5.73  %                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
% 5.54/5.74  %            Maximal formula depth :  100 (  36 avg)
% 5.54/5.74  %            Maximal term depth    :    1 (   1 avg)
% 5.54/5.74  %            Number of predicates  :   32 (  31 usr;   1 prp; 0-2 aty)
% 5.54/5.74  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 5.54/5.74  %            Number of variables   :   67 (  66   !;   1   ?)
% 5.54/5.74  % SPC      : FOF_THM_RFO_NEQ
% 5.54/5.74  
% 5.54/5.74  % Comments : A naive relational encoding of the modal logic problem into
% 5.54/5.74  %            first-order logic.
% 5.54/5.74  %------------------------------------------------------------------------------
% 5.54/5.74  fof(reflexivity,axiom,
% 5.54/5.74      ! [X] : r1(X,X) ).
% 5.54/5.74  
% 5.54/5.74  fof(transitivity,axiom,
% 5.54/5.74      ! [X,Y,Z] :
% 5.54/5.74        ( ( r1(X,Y)
% 5.54/5.74          & r1(Y,Z) )
% 5.54/5.74       => r1(X,Z) ) ).
% 5.54/5.74  
% 5.54/5.74  fof(main,conjecture,
% 5.54/5.74      ~ ? [X] :
% 5.54/5.74          ~ ( ! [Y] :
% 5.54/5.74                ( ~ r1(X,Y)
% 5.54/5.74                | ~ p30(Y)
% 5.54/5.74                | ! [X] :
% 5.54/5.74                    ( ~ r1(Y,X)
% 5.54/5.74                    | ~ p1(X) ) )
% 5.54/5.74            | ! [Y] :
% 5.54/5.74                ( ~ r1(X,Y)
% 5.54/5.74                | ~ ! [X] :
% 5.54/5.74                      ( ~ r1(Y,X)
% 5.54/5.74                      | ~ ( ! [Y] :
% 5.54/5.74                              ( ~ r1(X,Y)
% 5.54/5.74                              | ! [X] :
% 5.54/5.74                                  ( ~ r1(Y,X)
% 5.54/5.74                                  | ! [Y] :
% 5.54/5.74                                      ( ~ r1(X,Y)
% 5.54/5.74                                      | ! [X] :
% 5.54/5.74                                          ( ~ r1(Y,X)
% 5.54/5.74                                          | ! [Y] :
% 5.54/5.74                                              ( ~ r1(X,Y)
% 5.54/5.74                                              | ! [X] :
% 5.54/5.74                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                  | ! [Y] :
% 5.54/5.74                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                      | ! [X] :
% 5.54/5.74                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                          | ! [Y] :
% 5.54/5.74                                                              ( ~ r1(X,Y)
% 5.54/5.74                                                              | ! [X] :
% 5.54/5.74                                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                                  | ! [Y] :
% 5.54/5.74                                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                                      | ! [X] :
% 5.54/5.74                                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                                          | ! [Y] :
% 5.54/5.74                                                                              ( ~ r1(X,Y)
% 5.54/5.74                                                                              | ! [X] :
% 5.54/5.74                                                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                                                  | ! [Y] :
% 5.54/5.74                                                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                                                      | ! [X] :
% 5.54/5.74                                                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                                                          | ! [Y] :
% 5.54/5.74                                                                                              ( ~ r1(X,Y)
% 5.54/5.74                                                                                              | ! [X] :
% 5.54/5.74                                                                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                                                                  | ! [Y] :
% 5.54/5.74                                                                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                                                                      | ! [X] :
% 5.54/5.74                                                                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                                                                          | ! [Y] :
% 5.54/5.74                                                                                                              ( ~ r1(X,Y)
% 5.54/5.74                                                                                                              | ! [X] :
% 5.54/5.74                                                                                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                  | ! [Y] :
% 5.54/5.74                                                                                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                      | ! [X] :
% 5.54/5.74                                                                                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                          | ! [Y] :
% 5.54/5.74                                                                                                                              ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                              | ! [X] :
% 5.54/5.74                                                                                                                                  ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                                  | ! [Y] :
% 5.54/5.74                                                                                                                                      ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                                      | ! [X] :
% 5.54/5.74                                                                                                                                          ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                                          | $false )
% 5.54/5.74                                                                                                                                      | ~ ! [X] :
% 5.54/5.74                                                                                                                                            ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                                            | ~ ( ( p29(X)
% 5.54/5.74                                                                                                                                                  & ~ p28(X) )
% 5.54/5.74                                                                                                                                                | ( ~ p29(X)
% 5.54/5.74                                                                                                                                                  & p28(X) ) ) ) )
% 5.54/5.74                                                                                                                                  | ~ ! [Y] :
% 5.54/5.74                                                                                                                                        ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                                        | ~ ( ( p28(Y)
% 5.54/5.74                                                                                                                                              & ~ p27(Y) )
% 5.54/5.74                                                                                                                                            | ( ~ p28(Y)
% 5.54/5.74                                                                                                                                              & p27(Y) ) ) ) )
% 5.54/5.74                                                                                                                              | ~ ! [X] :
% 5.54/5.74                                                                                                                                    ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                                    | ~ ( ( p27(X)
% 5.54/5.74                                                                                                                                          & ~ p26(X) )
% 5.54/5.74                                                                                                                                        | ( ~ p27(X)
% 5.54/5.74                                                                                                                                          & p26(X) ) ) ) )
% 5.54/5.74                                                                                                                          | ~ ! [Y] :
% 5.54/5.74                                                                                                                                ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                                | ~ ( ( p26(Y)
% 5.54/5.74                                                                                                                                      & ~ p25(Y) )
% 5.54/5.74                                                                                                                                    | ( ~ p26(Y)
% 5.54/5.74                                                                                                                                      & p25(Y) ) ) ) )
% 5.54/5.74                                                                                                                      | ~ ! [X] :
% 5.54/5.74                                                                                                                            ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                            | ~ ( ( p25(X)
% 5.54/5.74                                                                                                                                  & ~ p24(X) )
% 5.54/5.74                                                                                                                                | ( ~ p25(X)
% 5.54/5.74                                                                                                                                  & p24(X) ) ) ) )
% 5.54/5.74                                                                                                                  | ~ ! [Y] :
% 5.54/5.74                                                                                                                        ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                        | ~ ( ( p24(Y)
% 5.54/5.74                                                                                                                              & ~ p23(Y) )
% 5.54/5.74                                                                                                                            | ( ~ p24(Y)
% 5.54/5.74                                                                                                                              & p23(Y) ) ) ) )
% 5.54/5.74                                                                                                              | ~ ! [X] :
% 5.54/5.74                                                                                                                    ( ~ r1(Y,X)
% 5.54/5.74                                                                                                                    | ~ ( ( p23(X)
% 5.54/5.74                                                                                                                          & ~ p22(X) )
% 5.54/5.74                                                                                                                        | ( ~ p23(X)
% 5.54/5.74                                                                                                                          & p22(X) ) ) ) )
% 5.54/5.74                                                                                                          | ~ ! [Y] :
% 5.54/5.74                                                                                                                ( ~ r1(X,Y)
% 5.54/5.74                                                                                                                | ~ ( ( p22(Y)
% 5.54/5.74                                                                                                                      & ~ p21(Y) )
% 5.54/5.74                                                                                                                    | ( ~ p22(Y)
% 5.54/5.74                                                                                                                      & p21(Y) ) ) ) )
% 5.54/5.74                                                                                                      | ~ ! [X] :
% 5.54/5.74                                                                                                            ( ~ r1(Y,X)
% 5.54/5.74                                                                                                            | ~ ( ( p21(X)
% 5.54/5.74                                                                                                                  & ~ p20(X) )
% 5.54/5.74                                                                                                                | ( ~ p21(X)
% 5.54/5.74                                                                                                                  & p20(X) ) ) ) )
% 5.54/5.75                                                                                                  | ~ ! [Y] :
% 5.54/5.75                                                                                                        ( ~ r1(X,Y)
% 5.54/5.75                                                                                                        | ~ ( ( p20(Y)
% 5.54/5.75                                                                                                              & ~ p19(Y) )
% 5.54/5.75                                                                                                            | ( ~ p20(Y)
% 5.54/5.75                                                                                                              & p19(Y) ) ) ) )
% 5.54/5.75                                                                                              | ~ ! [X] :
% 5.54/5.75                                                                                                    ( ~ r1(Y,X)
% 5.54/5.75                                                                                                    | ~ ( ( p19(X)
% 5.54/5.75                                                                                                          & ~ p18(X) )
% 5.54/5.75                                                                                                        | ( ~ p19(X)
% 5.54/5.75                                                                                                          & p18(X) ) ) ) )
% 5.54/5.75                                                                                          | ~ ! [Y] :
% 5.54/5.75                                                                                                ( ~ r1(X,Y)
% 5.54/5.75                                                                                                | ~ ( ( p18(Y)
% 5.54/5.75                                                                                                      & ~ p17(Y) )
% 5.54/5.75                                                                                                    | ( ~ p18(Y)
% 5.54/5.75                                                                                                      & p17(Y) ) ) ) )
% 5.54/5.75                                                                                      | ~ ! [X] :
% 5.54/5.75                                                                                            ( ~ r1(Y,X)
% 5.54/5.75                                                                                            | ~ ( ( p17(X)
% 5.54/5.75                                                                                                  & ~ p16(X) )
% 5.54/5.75                                                                                                | ( ~ p17(X)
% 5.54/5.75                                                                                                  & p16(X) ) ) ) )
% 5.54/5.75                                                                                  | ~ ! [Y] :
% 5.54/5.75                                                                                        ( ~ r1(X,Y)
% 5.54/5.75                                                                                        | ~ ( ( p16(Y)
% 5.54/5.75                                                                                              & ~ p15(Y) )
% 5.54/5.75                                                                                            | ( ~ p16(Y)
% 5.54/5.75                                                                                              & p15(Y) ) ) ) )
% 5.54/5.75                                                                              | ~ ! [X] :
% 5.54/5.75                                                                                    ( ~ r1(Y,X)
% 5.54/5.75                                                                                    | ~ ( ( p15(X)
% 5.54/5.75                                                                                          & ~ p14(X) )
% 5.54/5.75                                                                                        | ( ~ p15(X)
% 5.54/5.75                                                                                          & p14(X) ) ) ) )
% 5.54/5.75                                                                          | ~ ! [Y] :
% 5.54/5.75                                                                                ( ~ r1(X,Y)
% 5.54/5.75                                                                                | ~ ( ( p14(Y)
% 5.54/5.75                                                                                      & ~ p13(Y) )
% 5.54/5.75                                                                                    | ( ~ p14(Y)
% 5.54/5.75                                                                                      & p13(Y) ) ) ) )
% 5.54/5.75                                                                      | ~ ! [X] :
% 5.54/5.75                                                                            ( ~ r1(Y,X)
% 5.54/5.75                                                                            | ~ ( ( p13(X)
% 5.54/5.75                                                                                  & ~ p12(X) )
% 5.54/5.75                                                                                | ( ~ p13(X)
% 5.54/5.75                                                                                  & p12(X) ) ) ) )
% 5.54/5.75                                                                  | ~ ! [Y] :
% 5.54/5.75                                                                        ( ~ r1(X,Y)
% 5.54/5.75                                                                        | ~ ( ( p12(Y)
% 5.54/5.75                                                                              & ~ p11(Y) )
% 5.54/5.75                                                                            | ( ~ p12(Y)
% 5.54/5.75                                                                              & p11(Y) ) ) ) )
% 5.54/5.75                                                              | ~ ! [X] :
% 5.54/5.75                                                                    ( ~ r1(Y,X)
% 5.54/5.75                                                                    | ~ ( ( p11(X)
% 5.54/5.75                                                                          & ~ p10(X) )
% 5.54/5.75                                                                        | ( ~ p11(X)
% 5.54/5.75                                                                          & p10(X) ) ) ) )
% 5.54/5.75                                                          | ~ ! [Y] :
% 5.54/5.75                                                                ( ~ r1(X,Y)
% 5.54/5.75                                                                | ~ ( ( p10(Y)
% 5.54/5.75                                                                      & ~ p9(Y) )
% 5.54/5.75                                                                    | ( ~ p10(Y)
% 5.54/5.75                                                                      & p9(Y) ) ) ) )
% 5.54/5.75                                                      | ~ ! [X] :
% 5.54/5.75                                                            ( ~ r1(Y,X)
% 5.54/5.75                                                            | ~ ( ( p9(X)
% 5.54/5.75                                                                  & ~ p8(X) )
% 5.54/5.75                                                                | ( ~ p9(X)
% 5.54/5.75                                                                  & p8(X) ) ) ) )
% 5.54/5.75                                                  | ~ ! [Y] :
% 5.54/5.75                                                        ( ~ r1(X,Y)
% 5.54/5.75                                                        | ~ ( ( p8(Y)
% 5.54/5.75                                                              & ~ p7(Y) )
% 5.54/5.75                                                            | ( ~ p8(Y)
% 5.54/5.75                                                              & p7(Y) ) ) ) )
% 5.54/5.75                                              | ~ ! [X] :
% 5.54/5.75                                                    ( ~ r1(Y,X)
% 5.54/5.75                                                    | ~ ( ( p7(X)
% 5.54/5.75                                                          & ~ p6(X) )
% 5.54/5.75                                                        | ( ~ p7(X)
% 5.54/5.75                                                          & p6(X) ) ) ) )
% 5.54/5.75                                          | ~ ! [Y] :
% 5.54/5.75                                                ( ~ r1(X,Y)
% 5.54/5.75                                                | ~ ( ( p6(Y)
% 5.54/5.75                                                      & ~ p5(Y) )
% 5.54/5.75                                                    | ( ~ p6(Y)
% 5.54/5.75                                                      & p5(Y) ) ) ) )
% 5.54/5.75                                      | ~ ! [X] :
% 5.54/5.75                                            ( ~ r1(Y,X)
% 5.54/5.75                                            | ~ ( ( p5(X)
% 5.54/5.75                                                  & ~ p4(X) )
% 5.54/5.75                                                | ( ~ p5(X)
% 5.54/5.75                                                  & p4(X) ) ) ) )
% 5.54/5.75                                  | ~ ! [Y] :
% 5.54/5.75                                        ( ~ r1(X,Y)
% 5.54/5.75                                        | ~ ( ( p4(Y)
% 5.54/5.75                                              & ~ p3(Y) )
% 5.54/5.75                                            | ( ~ p4(Y)
% 5.54/5.75                                              & p3(Y) ) ) ) )
% 5.54/5.75                              | ~ ! [X] :
% 5.54/5.75                                    ( ~ r1(Y,X)
% 5.54/5.75                                    | ~ ( ( p3(X)
% 5.54/5.75                                          & ~ p2(X) )
% 5.54/5.75                                        | ( ~ p3(X)
% 5.54/5.75                                          & p2(X) ) ) ) )
% 5.54/5.75                          | ~ ! [Y] :
% 5.54/5.75                                ( ~ r1(X,Y)
% 5.54/5.75                                | ~ ( ( p2(Y)
% 5.54/5.75                                      & ~ p1(Y) )
% 5.54/5.75                                    | ( ~ p2(Y)
% 5.54/5.75                                      & p1(Y) ) ) )
% 5.54/5.75                          | ! [Y] :
% 5.54/5.75                              ( ~ r1(X,Y)
% 5.54/5.75                              | p30(Y) )
% 5.54/5.75                          | ! [Y] :
% 5.54/5.75                              ( ~ r1(X,Y)
% 5.54/5.75                              | ( ~ p28(Y)
% 5.54/5.75                                & ~ p29(Y) )
% 5.54/5.75                              | ( p29(Y)
% 5.54/5.75                                & p28(Y) )
% 5.54/5.75                              | ( ~ p27(Y)
% 5.54/5.75                                & ~ p28(Y) )
% 5.54/5.75                              | ( p28(Y)
% 5.54/5.75                                & p27(Y) )
% 5.54/5.75                              | ( ~ p26(Y)
% 5.54/5.75                                & ~ p27(Y) )
% 5.54/5.75                              | ( p27(Y)
% 5.54/5.75                                & p26(Y) )
% 5.54/5.75                              | ( ~ p25(Y)
% 5.54/5.75                                & ~ p26(Y) )
% 5.54/5.75                              | ( p26(Y)
% 5.54/5.75                                & p25(Y) )
% 5.54/5.75                              | ( ~ p24(Y)
% 5.54/5.75                                & ~ p25(Y) )
% 5.54/5.75                              | ( p25(Y)
% 5.54/5.75                                & p24(Y) )
% 5.54/5.75                              | ( ~ p23(Y)
% 5.54/5.75                                & ~ p24(Y) )
% 5.54/5.75                              | ( p24(Y)
% 5.54/5.75                                & p23(Y) )
% 5.54/5.75                              | ( ~ p22(Y)
% 5.54/5.75                                & ~ p23(Y) )
% 5.54/5.75                              | ( p23(Y)
% 5.54/5.75                                & p22(Y) )
% 5.54/5.75                              | ( ~ p21(Y)
% 5.54/5.75                                & ~ p22(Y) )
% 5.54/5.75                              | ( p22(Y)
% 5.54/5.75                                & p21(Y) )
% 5.54/5.75                              | ( ~ p20(Y)
% 5.54/5.75                                & ~ p21(Y) )
% 5.54/5.75                              | ( p21(Y)
% 5.54/5.75                                & p20(Y) )
% 5.54/5.75                              | ( ~ p19(Y)
% 5.54/5.75                                & ~ p20(Y) )
% 5.54/5.75                              | ( p20(Y)
% 5.54/5.75                                & p19(Y) )
% 5.54/5.75                              | ( ~ p18(Y)
% 5.54/5.75                                & ~ p19(Y) )
% 5.54/5.75                              | ( p19(Y)
% 5.54/5.75                                & p18(Y) )
% 5.54/5.75                              | ( ~ p17(Y)
% 5.54/5.75                                & ~ p18(Y) )
% 5.54/5.75                              | ( p18(Y)
% 5.54/5.75                                & p17(Y) )
% 5.54/5.75                              | ( ~ p16(Y)
% 5.54/5.75                                & ~ p17(Y) )
% 5.54/5.75                              | ( p17(Y)
% 5.54/5.75                                & p16(Y) )
% 5.54/5.75                              | ( ~ p15(Y)
% 5.54/5.75                                & ~ p16(Y) )
% 5.54/5.75                              | ( p16(Y)
% 5.54/5.75                                & p15(Y) )
% 5.54/5.75                              | ( ~ p14(Y)
% 5.54/5.75                                & ~ p15(Y) )
% 5.54/5.75                              | ( p15(Y)
% 5.54/5.75                                & p14(Y) )
% 5.54/5.75                              | ( ~ p13(Y)
% 5.54/5.75                                & ~ p14(Y) )
% 5.54/5.75                              | ( p14(Y)
% 5.54/5.75                                & p13(Y) )
% 5.54/5.75                              | ( ~ p12(Y)
% 5.54/5.75                                & ~ p13(Y) )
% 5.54/5.75                              | ( p13(Y)
% 5.54/5.75                                & p12(Y) )
% 5.54/5.75                              | ( ~ p11(Y)
% 5.54/5.75                                & ~ p12(Y) )
% 5.54/5.75                              | ( p12(Y)
% 5.54/5.75                                & p11(Y) )
% 5.54/5.75                              | ( ~ p10(Y)
% 5.54/5.75                                & ~ p11(Y) )
% 5.54/5.75                              | ( p11(Y)
% 5.54/5.75                                & p10(Y) )
% 5.54/5.75                              | ( ~ p9(Y)
% 5.54/5.75                                & ~ p10(Y) )
% 5.54/5.75                              | ( p10(Y)
% 5.54/5.75                                & p9(Y) )
% 5.54/5.75                              | ( ~ p8(Y)
% 5.54/5.75                                & ~ p9(Y) )
% 5.54/5.75                              | ( p9(Y)
% 5.54/5.75                                & p8(Y) )
% 5.54/5.75                              | ( ~ p7(Y)
% 5.54/5.75                                & ~ p8(Y) )
% 5.54/5.75                              | ( p8(Y)
% 5.54/5.75                                & p7(Y) )
% 5.54/5.75                              | ( ~ p6(Y)
% 5.54/5.75                                & ~ p7(Y) )
% 5.54/5.75                              | ( p7(Y)
% 5.54/5.75                                & p6(Y) )
% 5.54/5.75                              | ( ~ p5(Y)
% 5.54/5.75                                & ~ p6(Y) )
% 5.54/5.75                              | ( p6(Y)
% 5.54/5.75                                & p5(Y) )
% 5.54/5.75                              | ( ~ p4(Y)
% 5.54/5.75                                & ~ p5(Y) )
% 5.54/5.75                              | ( p5(Y)
% 5.54/5.75                                & p4(Y) )
% 5.54/5.75                              | ( ~ p3(Y)
% 5.54/5.75                                & ~ p4(Y) )
% 5.54/5.75                              | ( p4(Y)
% 5.54/5.75                                & p3(Y) )
% 5.54/5.75                              | ( ~ p2(Y)
% 5.54/5.75                                & ~ p3(Y) )
% 5.54/5.75                              | ( p3(Y)
% 5.54/5.75                                & p2(Y) )
% 5.54/5.75                              | ( ~ p1(Y)
% 5.54/5.75                                & ~ p2(Y) )
% 5.54/5.75                              | ( p2(Y)
% 5.54/5.75                                & p1(Y) ) ) ) ) ) ) ).
% 5.54/5.75  
% 5.54/5.75  %------------------------------------------------------------------------------
% 5.54/5.75  %-------------------------------------------
% 5.54/5.75  % Proof found
% 5.54/5.75  % SZS status Theorem for theBenchmark
% 5.54/5.75  % SZS output start Proof
% 5.54/5.75  %ClaNum:151(EqnAxiom:0)
% 5.54/5.75  %VarNum:550(SingletonVarNum:204)
% 5.54/5.75  %MaxLitNum:4
% 5.54/5.75  %MaxfuncDepth:1
% 5.54/5.75  %SharedTerms:9
% 5.54/5.75  %goalClause: 1 2 3 4 5 8
% 5.54/5.76  %singleGoalClaCount:5
% 5.54/5.76  [1]P1(a1)
% 5.54/5.76  [2]P2(a23)
% 5.54/5.76  [3]P26(a2,a1)
% 5.54/5.76  [4]P26(a2,a29)
% 5.54/5.76  [5]P26(a1,a23)
% 5.54/5.76  [6]P26(x61,x61)
% 5.54/5.76  [8]P3(x81)+~P26(a29,x81)
% 5.54/5.76  [7]~P3(x71)+~P1(f24(x71))
% 5.54/5.76  [9]~P3(x91)+P26(x91,f30(x91))
% 5.54/5.76  [10]~P3(x101)+P26(x101,f24(x101))
% 5.54/5.76  [11]~P3(x111)+P26(x111,f28(x111))
% 5.54/5.76  [40]~P3(x401)+P26(f30(x401),f31(x401))
% 5.54/5.76  [41]~P3(x411)+P26(f31(x411),f32(x411))
% 5.54/5.76  [42]~P3(x421)+P26(f32(x421),f33(x421))
% 5.54/5.76  [43]~P3(x431)+P26(f33(x431),f34(x431))
% 5.54/5.76  [44]~P3(x441)+P26(f34(x441),f3(x441))
% 5.54/5.76  [45]~P3(x451)+P26(f3(x451),f4(x451))
% 5.54/5.76  [46]~P3(x461)+P26(f4(x461),f5(x461))
% 5.54/5.76  [47]~P3(x471)+P26(f5(x471),f6(x471))
% 5.54/5.76  [48]~P3(x481)+P26(f6(x481),f7(x481))
% 5.54/5.76  [49]~P3(x491)+P26(f7(x491),f8(x491))
% 5.54/5.76  [50]~P3(x501)+P26(f8(x501),f9(x501))
% 5.54/5.76  [51]~P3(x511)+P26(f9(x511),f10(x511))
% 5.54/5.76  [52]~P3(x521)+P26(f10(x521),f11(x521))
% 5.54/5.76  [53]~P3(x531)+P26(f11(x531),f12(x531))
% 5.54/5.76  [54]~P3(x541)+P26(f12(x541),f13(x541))
% 5.54/5.76  [55]~P3(x551)+P26(f13(x551),f14(x551))
% 5.54/5.76  [56]~P3(x561)+P26(f14(x561),f15(x561))
% 5.54/5.76  [57]~P3(x571)+P26(f15(x571),f16(x571))
% 5.54/5.76  [58]~P3(x581)+P26(f16(x581),f17(x581))
% 5.54/5.76  [59]~P3(x591)+P26(f17(x591),f18(x591))
% 5.54/5.76  [60]~P3(x601)+P26(f18(x601),f19(x601))
% 5.54/5.76  [61]~P3(x611)+P26(f19(x611),f20(x611))
% 5.54/5.76  [62]~P3(x621)+P26(f20(x621),f21(x621))
% 5.54/5.76  [63]~P3(x631)+P26(f21(x631),f22(x631))
% 5.54/5.76  [64]~P3(x641)+P26(f22(x641),f25(x641))
% 5.54/5.76  [65]~P3(x651)+P26(f25(x651),f26(x651))
% 5.54/5.76  [66]~P3(x661)+P26(f26(x661),f27(x661))
% 5.54/5.76  [12]~P3(x121)+P2(f28(x121))+P4(f28(x121))
% 5.54/5.76  [13]~P3(x131)+P15(f28(x131))+P16(f28(x131))
% 5.54/5.76  [14]~P3(x141)+P16(f28(x141))+P17(f28(x141))
% 5.54/5.76  [15]~P3(x151)+P17(f28(x151))+P18(f28(x151))
% 5.54/5.76  [16]~P3(x161)+P18(f28(x161))+P19(f28(x161))
% 5.54/5.76  [17]~P3(x171)+P19(f28(x171))+P20(f28(x171))
% 5.54/5.76  [18]~P3(x181)+P20(f28(x181))+P21(f28(x181))
% 5.54/5.76  [19]~P3(x191)+P21(f28(x191))+P22(f28(x191))
% 5.54/5.76  [20]~P3(x201)+P22(f28(x201))+P23(f28(x201))
% 5.54/5.76  [21]~P3(x211)+P23(f28(x211))+P24(f28(x211))
% 5.54/5.76  [22]~P3(x221)+P24(f28(x221))+P5(f28(x221))
% 5.54/5.76  [23]~P3(x231)+P5(f28(x231))+P6(f28(x231))
% 5.54/5.76  [24]~P3(x241)+P6(f28(x241))+P7(f28(x241))
% 5.54/5.76  [25]~P3(x251)+P7(f28(x251))+P8(f28(x251))
% 5.54/5.76  [26]~P3(x261)+P8(f28(x261))+P9(f28(x261))
% 5.54/5.76  [27]~P3(x271)+P9(f28(x271))+P10(f28(x271))
% 5.54/5.76  [28]~P3(x281)+P10(f28(x281))+P11(f28(x281))
% 5.54/5.76  [29]~P3(x291)+P11(f28(x291))+P12(f28(x291))
% 5.54/5.76  [30]~P3(x301)+P12(f28(x301))+P13(f28(x301))
% 5.54/5.76  [31]~P3(x311)+P13(f28(x311))+P14(f28(x311))
% 5.54/5.76  [32]~P3(x321)+P14(f28(x321))+P27(f28(x321))
% 5.54/5.76  [33]~P3(x331)+P27(f28(x331))+P28(f28(x331))
% 5.54/5.76  [34]~P3(x341)+P28(f28(x341))+P29(f28(x341))
% 5.54/5.76  [35]~P3(x351)+P29(f28(x351))+P30(f28(x351))
% 5.54/5.76  [36]~P3(x361)+P30(f28(x361))+P31(f28(x361))
% 5.54/5.76  [37]~P3(x371)+P31(f28(x371))+P32(f28(x371))
% 5.54/5.76  [38]~P3(x381)+P32(f28(x381))+P25(f28(x381))
% 5.54/5.76  [39]~P3(x391)+P25(f28(x391))+P4(f28(x391))
% 5.54/5.76  [67]~P3(x671)+~P2(f28(x671))+~P4(f28(x671))
% 5.54/5.76  [68]~P3(x681)+~P15(f28(x681))+~P16(f28(x681))
% 5.54/5.76  [69]~P3(x691)+~P16(f28(x691))+~P17(f28(x691))
% 5.54/5.76  [70]~P3(x701)+~P17(f28(x701))+~P18(f28(x701))
% 5.54/5.76  [71]~P3(x711)+~P18(f28(x711))+~P19(f28(x711))
% 5.54/5.76  [72]~P3(x721)+~P19(f28(x721))+~P20(f28(x721))
% 5.54/5.76  [73]~P3(x731)+~P20(f28(x731))+~P21(f28(x731))
% 5.54/5.76  [74]~P3(x741)+~P21(f28(x741))+~P22(f28(x741))
% 5.54/5.76  [75]~P3(x751)+~P22(f28(x751))+~P23(f28(x751))
% 5.54/5.76  [76]~P3(x761)+~P23(f28(x761))+~P24(f28(x761))
% 5.54/5.76  [77]~P3(x771)+~P24(f28(x771))+~P5(f28(x771))
% 5.54/5.76  [78]~P3(x781)+~P5(f28(x781))+~P6(f28(x781))
% 5.54/5.76  [79]~P3(x791)+~P6(f28(x791))+~P7(f28(x791))
% 5.54/5.76  [80]~P3(x801)+~P7(f28(x801))+~P8(f28(x801))
% 5.54/5.76  [81]~P3(x811)+~P8(f28(x811))+~P9(f28(x811))
% 5.54/5.76  [82]~P3(x821)+~P9(f28(x821))+~P10(f28(x821))
% 5.54/5.76  [83]~P3(x831)+~P10(f28(x831))+~P11(f28(x831))
% 5.54/5.76  [84]~P3(x841)+~P11(f28(x841))+~P12(f28(x841))
% 5.54/5.76  [85]~P3(x851)+~P12(f28(x851))+~P13(f28(x851))
% 5.54/5.76  [86]~P3(x861)+~P13(f28(x861))+~P14(f28(x861))
% 5.54/5.76  [87]~P3(x871)+~P14(f28(x871))+~P27(f28(x871))
% 5.54/5.76  [88]~P3(x881)+~P27(f28(x881))+~P28(f28(x881))
% 5.54/5.76  [89]~P3(x891)+~P28(f28(x891))+~P29(f28(x891))
% 5.54/5.76  [90]~P3(x901)+~P29(f28(x901))+~P30(f28(x901))
% 5.54/5.76  [91]~P3(x911)+~P30(f28(x911))+~P31(f28(x911))
% 5.54/5.76  [92]~P3(x921)+~P31(f28(x921))+~P32(f28(x921))
% 5.54/5.76  [93]~P3(x931)+~P32(f28(x931))+~P25(f28(x931))
% 5.54/5.76  [94]~P3(x941)+~P25(f28(x941))+~P4(f28(x941))
% 5.54/5.76  [151]~P26(x1511,x1513)+P26(x1511,x1512)+~P26(x1513,x1512)
% 5.54/5.76  [95]~P4(x951)+~P26(x952,x951)+P2(x951)+~P3(x952)
% 5.54/5.76  [96]~P2(x961)+~P26(x962,x961)+P4(x961)+~P3(x962)
% 5.54/5.76  [97]~P16(x971)+P15(x971)+~P3(x972)+~P26(f26(x972),x971)
% 5.54/5.76  [98]~P15(x981)+P16(x981)+~P3(x982)+~P26(f26(x982),x981)
% 5.54/5.76  [99]~P17(x991)+P16(x991)+~P3(x992)+~P26(f25(x992),x991)
% 5.54/5.76  [100]~P16(x1001)+P17(x1001)+~P3(x1002)+~P26(f25(x1002),x1001)
% 5.54/5.76  [101]~P18(x1011)+P17(x1011)+~P3(x1012)+~P26(f22(x1012),x1011)
% 5.54/5.76  [102]~P17(x1021)+P18(x1021)+~P3(x1022)+~P26(f22(x1022),x1021)
% 5.54/5.76  [103]~P19(x1031)+P18(x1031)+~P3(x1032)+~P26(f21(x1032),x1031)
% 5.54/5.76  [104]~P18(x1041)+P19(x1041)+~P3(x1042)+~P26(f21(x1042),x1041)
% 5.54/5.76  [105]~P20(x1051)+P19(x1051)+~P3(x1052)+~P26(f20(x1052),x1051)
% 5.54/5.76  [106]~P19(x1061)+P20(x1061)+~P3(x1062)+~P26(f20(x1062),x1061)
% 5.54/5.76  [107]~P21(x1071)+P20(x1071)+~P3(x1072)+~P26(f19(x1072),x1071)
% 5.54/5.76  [108]~P20(x1081)+P21(x1081)+~P3(x1082)+~P26(f19(x1082),x1081)
% 5.54/5.76  [109]~P22(x1091)+P21(x1091)+~P3(x1092)+~P26(f18(x1092),x1091)
% 5.54/5.76  [110]~P21(x1101)+P22(x1101)+~P3(x1102)+~P26(f18(x1102),x1101)
% 5.54/5.76  [111]~P23(x1111)+P22(x1111)+~P3(x1112)+~P26(f17(x1112),x1111)
% 5.54/5.76  [112]~P22(x1121)+P23(x1121)+~P3(x1122)+~P26(f17(x1122),x1121)
% 5.54/5.76  [113]~P24(x1131)+P23(x1131)+~P3(x1132)+~P26(f16(x1132),x1131)
% 5.54/5.76  [114]~P23(x1141)+P24(x1141)+~P3(x1142)+~P26(f16(x1142),x1141)
% 5.54/5.76  [115]~P5(x1151)+P24(x1151)+~P3(x1152)+~P26(f15(x1152),x1151)
% 5.54/5.76  [116]~P24(x1161)+P5(x1161)+~P3(x1162)+~P26(f15(x1162),x1161)
% 5.54/5.76  [117]~P6(x1171)+P5(x1171)+~P3(x1172)+~P26(f14(x1172),x1171)
% 5.54/5.76  [118]~P5(x1181)+P6(x1181)+~P3(x1182)+~P26(f14(x1182),x1181)
% 5.54/5.76  [119]~P7(x1191)+P6(x1191)+~P3(x1192)+~P26(f13(x1192),x1191)
% 5.54/5.76  [120]~P6(x1201)+P7(x1201)+~P3(x1202)+~P26(f13(x1202),x1201)
% 5.54/5.76  [121]~P8(x1211)+P7(x1211)+~P3(x1212)+~P26(f12(x1212),x1211)
% 5.54/5.76  [122]~P7(x1221)+P8(x1221)+~P3(x1222)+~P26(f12(x1222),x1221)
% 5.54/5.76  [123]~P9(x1231)+P8(x1231)+~P3(x1232)+~P26(f11(x1232),x1231)
% 5.54/5.76  [124]~P8(x1241)+P9(x1241)+~P3(x1242)+~P26(f11(x1242),x1241)
% 5.54/5.76  [125]~P10(x1251)+P9(x1251)+~P3(x1252)+~P26(f10(x1252),x1251)
% 5.54/5.76  [126]~P9(x1261)+P10(x1261)+~P3(x1262)+~P26(f10(x1262),x1261)
% 5.54/5.76  [127]~P11(x1271)+P10(x1271)+~P3(x1272)+~P26(f9(x1272),x1271)
% 5.54/5.76  [128]~P10(x1281)+P11(x1281)+~P3(x1282)+~P26(f9(x1282),x1281)
% 5.54/5.76  [129]~P12(x1291)+P11(x1291)+~P3(x1292)+~P26(f8(x1292),x1291)
% 5.54/5.76  [130]~P11(x1301)+P12(x1301)+~P3(x1302)+~P26(f8(x1302),x1301)
% 5.54/5.76  [131]~P13(x1311)+P12(x1311)+~P3(x1312)+~P26(f7(x1312),x1311)
% 5.54/5.76  [132]~P12(x1321)+P13(x1321)+~P3(x1322)+~P26(f7(x1322),x1321)
% 5.54/5.76  [133]~P14(x1331)+P13(x1331)+~P3(x1332)+~P26(f6(x1332),x1331)
% 5.54/5.76  [134]~P13(x1341)+P14(x1341)+~P3(x1342)+~P26(f6(x1342),x1341)
% 5.54/5.76  [135]~P27(x1351)+P14(x1351)+~P3(x1352)+~P26(f5(x1352),x1351)
% 5.54/5.76  [136]~P14(x1361)+P27(x1361)+~P3(x1362)+~P26(f5(x1362),x1361)
% 5.54/5.76  [137]~P28(x1371)+P27(x1371)+~P3(x1372)+~P26(f4(x1372),x1371)
% 5.54/5.76  [138]~P27(x1381)+P28(x1381)+~P3(x1382)+~P26(f4(x1382),x1381)
% 5.54/5.76  [139]~P29(x1391)+P28(x1391)+~P3(x1392)+~P26(f3(x1392),x1391)
% 5.54/5.76  [140]~P28(x1401)+P29(x1401)+~P3(x1402)+~P26(f3(x1402),x1401)
% 5.54/5.76  [141]~P30(x1411)+P29(x1411)+~P3(x1412)+~P26(f34(x1412),x1411)
% 5.54/5.76  [142]~P29(x1421)+P30(x1421)+~P3(x1422)+~P26(f34(x1422),x1421)
% 5.54/5.76  [143]~P31(x1431)+P30(x1431)+~P3(x1432)+~P26(f33(x1432),x1431)
% 5.54/5.76  [144]~P30(x1441)+P31(x1441)+~P3(x1442)+~P26(f33(x1442),x1441)
% 5.54/5.76  [145]~P32(x1451)+P31(x1451)+~P3(x1452)+~P26(f32(x1452),x1451)
% 5.54/5.76  [146]~P31(x1461)+P32(x1461)+~P3(x1462)+~P26(f32(x1462),x1461)
% 5.54/5.76  [147]~P25(x1471)+P32(x1471)+~P3(x1472)+~P26(f31(x1472),x1471)
% 5.54/5.76  [148]~P32(x1481)+P25(x1481)+~P3(x1482)+~P26(f31(x1482),x1481)
% 5.54/5.76  [149]~P4(x1491)+P25(x1491)+~P3(x1492)+~P26(f30(x1492),x1491)
% 5.54/5.76  [150]~P25(x1501)+P4(x1501)+~P3(x1502)+~P26(f30(x1502),x1501)
% 5.54/5.76  %EqnAxiom
% 5.54/5.76  
% 5.54/5.76  %-------------------------------------------
% 5.54/5.76  cnf(152,plain,
% 5.54/5.76     (P3(a29)),
% 5.54/5.76     inference(scs_inference,[],[6,8])).
% 5.54/5.76  cnf(372,plain,
% 5.54/5.76     (P26(a29,f30(a29))),
% 5.54/5.76     inference(scs_inference,[],[6,9,8])).
% 5.54/5.76  cnf(373,plain,
% 5.54/5.76     (P3(f30(a29))),
% 5.54/5.76     inference(scs_inference,[],[372,8])).
% 5.54/5.76  cnf(2192,plain,
% 5.54/5.76     (P23(f28(f30(a29)))+P24(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[372,21,8])).
% 5.54/5.76  cnf(2193,plain,
% 5.54/5.76     (P24(f28(f30(a29)))+~P22(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2192,75])).
% 5.54/5.76  cnf(2263,plain,
% 5.54/5.76     (P32(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[372,38,8])).
% 5.54/5.76  cnf(2264,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P31(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2263,92])).
% 5.54/5.76  cnf(2265,plain,
% 5.54/5.76     (~P31(f28(f30(a29)))+~P32(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2264,93])).
% 5.54/5.76  cnf(2266,plain,
% 5.54/5.76     (~P32(f28(f30(a29)))+P30(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2265,36])).
% 5.54/5.76  cnf(2267,plain,
% 5.54/5.76     (P30(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[2266,2263])).
% 5.54/5.76  cnf(2268,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P29(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2267,90])).
% 5.54/5.76  cnf(2269,plain,
% 5.54/5.76     (~P29(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2268,94])).
% 5.54/5.76  cnf(2270,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P28(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2269,34])).
% 5.54/5.76  cnf(2271,plain,
% 5.54/5.76     (P28(f28(f30(a29)))+P2(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2270,12])).
% 5.54/5.76  cnf(2272,plain,
% 5.54/5.76     (P2(f28(f30(a29)))+~P27(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2271,88])).
% 5.54/5.76  cnf(2273,plain,
% 5.54/5.76     (~P27(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2272,67])).
% 5.54/5.76  cnf(2274,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P14(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2273,32])).
% 5.54/5.76  cnf(2275,plain,
% 5.54/5.76     (P14(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2274,39])).
% 5.54/5.76  cnf(2276,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P13(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2275,86])).
% 5.54/5.76  cnf(2277,plain,
% 5.54/5.76     (~P13(f28(f30(a29)))+~P32(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2276,93])).
% 5.54/5.76  cnf(2278,plain,
% 5.54/5.76     (~P32(f28(f30(a29)))+P12(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2277,30])).
% 5.54/5.76  cnf(2279,plain,
% 5.54/5.76     (P12(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[2278,2263])).
% 5.54/5.76  cnf(2280,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P11(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2279,84])).
% 5.54/5.76  cnf(2281,plain,
% 5.54/5.76     (~P11(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2280,94])).
% 5.54/5.76  cnf(2282,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P10(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2281,28])).
% 5.54/5.76  cnf(2283,plain,
% 5.54/5.76     (P10(f28(f30(a29)))+P2(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2282,12])).
% 5.54/5.76  cnf(2284,plain,
% 5.54/5.76     (P2(f28(f30(a29)))+~P9(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2283,82])).
% 5.54/5.76  cnf(2285,plain,
% 5.54/5.76     (~P9(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2284,67])).
% 5.54/5.76  cnf(2286,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P8(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2285,26])).
% 5.54/5.76  cnf(2287,plain,
% 5.54/5.76     (P8(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2286,39])).
% 5.54/5.76  cnf(2288,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P7(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2287,80])).
% 5.54/5.76  cnf(2289,plain,
% 5.54/5.76     (~P7(f28(f30(a29)))+~P32(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2288,93])).
% 5.54/5.76  cnf(2290,plain,
% 5.54/5.76     (~P32(f28(f30(a29)))+P6(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2289,24])).
% 5.54/5.76  cnf(2291,plain,
% 5.54/5.76     (P6(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[2290,2263])).
% 5.54/5.76  cnf(2292,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+~P5(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2291,78])).
% 5.54/5.76  cnf(2293,plain,
% 5.54/5.76     (~P5(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2292,94])).
% 5.54/5.76  cnf(2294,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P24(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2293,22])).
% 5.54/5.76  cnf(2295,plain,
% 5.54/5.76     (P24(f28(f30(a29)))+P2(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2294,12])).
% 5.54/5.76  cnf(2296,plain,
% 5.54/5.76     (P2(f28(f30(a29)))+~P23(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2295,76])).
% 5.54/5.76  cnf(2297,plain,
% 5.54/5.76     (~P23(f28(f30(a29)))+~P4(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2296,67])).
% 5.54/5.76  cnf(2298,plain,
% 5.54/5.76     (~P4(f28(f30(a29)))+P22(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2297,20])).
% 5.54/5.76  cnf(2299,plain,
% 5.54/5.76     (P22(f28(f30(a29)))+P25(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2298,39])).
% 5.54/5.76  cnf(2300,plain,
% 5.54/5.76     (P25(f28(f30(a29)))+P24(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[2299,2193])).
% 5.54/5.76  cnf(2301,plain,
% 5.54/5.76     (P24(f28(f30(a29)))+~P32(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2300,93])).
% 5.54/5.76  cnf(2302,plain,
% 5.54/5.76     (~P32(f28(f30(a29)))+~P5(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2301,77])).
% 5.54/5.76  cnf(2303,plain,
% 5.54/5.76     (~P5(f28(f30(a29)))+P31(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2302,37])).
% 5.54/5.76  cnf(2304,plain,
% 5.54/5.76     (P31(f28(f30(a29)))+P6(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2303,23])).
% 5.54/5.76  cnf(2305,plain,
% 5.54/5.76     (P6(f28(f30(a29)))+~P30(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2304,91])).
% 5.54/5.76  cnf(2306,plain,
% 5.54/5.76     (~P30(f28(f30(a29)))+~P7(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2305,79])).
% 5.54/5.76  cnf(2307,plain,
% 5.54/5.76     (~P7(f28(f30(a29)))+P29(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2306,35])).
% 5.54/5.76  cnf(2308,plain,
% 5.54/5.76     (P29(f28(f30(a29)))+P8(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2307,25])).
% 5.54/5.76  cnf(2309,plain,
% 5.54/5.76     (P8(f28(f30(a29)))+~P28(f28(f30(a29)))),
% 5.54/5.76     inference(scs_inference,[],[373,2308,89])).
% 5.54/5.76  cnf(2310,plain,
% 5.54/5.76     (~P28(f28(f30(a29)))+~P9(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2309,81])).
% 5.54/5.77  cnf(2311,plain,
% 5.54/5.77     (~P9(f28(f30(a29)))+P27(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2310,33])).
% 5.54/5.77  cnf(2312,plain,
% 5.54/5.77     (P27(f28(f30(a29)))+P10(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2311,27])).
% 5.54/5.77  cnf(2313,plain,
% 5.54/5.77     (P10(f28(f30(a29)))+~P14(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2312,87])).
% 5.54/5.77  cnf(2314,plain,
% 5.54/5.77     (~P14(f28(f30(a29)))+~P11(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2313,83])).
% 5.54/5.77  cnf(2315,plain,
% 5.54/5.77     (~P11(f28(f30(a29)))+P13(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2314,31])).
% 5.54/5.77  cnf(2316,plain,
% 5.54/5.77     (P13(f28(f30(a29)))+P12(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[373,2315,29])).
% 5.54/5.77  cnf(2336,plain,
% 5.54/5.77     (P26(f30(a29),f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[372,8,11])).
% 5.54/5.77  cnf(2337,plain,
% 5.54/5.77     (P26(a29,f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[372,2336,151])).
% 5.54/5.77  cnf(2341,plain,
% 5.54/5.77     (P4(f28(f30(a29)))+~P25(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[372,152,2336,151,8,150])).
% 5.54/5.77  cnf(2363,plain,
% 5.54/5.77     (P4(f28(f30(a29)))+~P27(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[372,152,373,2336,151,8,150,149,2264,2268,2276,2280,2288,2292,2300,2304,2308,2316,31,35,37,39,81,87])).
% 5.54/5.77  cnf(2415,plain,
% 5.54/5.77     (~P4(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[4,152,373,2337,2336,151,149,94])).
% 5.54/5.77  cnf(2469,plain,
% 5.54/5.77     (~P25(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[2415,2341])).
% 5.54/5.77  cnf(2484,plain,
% 5.54/5.77     (~P27(f28(f30(a29)))),
% 5.54/5.77     inference(scs_inference,[],[2415,2363])).
% 5.54/5.77  cnf(2568,plain,
% 5.54/5.77     ($false),
% 5.54/5.77     inference(scs_inference,[],[373,2469,2484,2415,33,39]),
% 5.54/5.77     ['proof']).
% 5.54/5.77  % SZS output end Proof
% 5.54/5.77  % Total time :5.199230s
%------------------------------------------------------------------------------