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SPASS-SCL---0.1.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SPASS-SCL---0.1.1
% Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 01:10:15 PM UTC 2026

% Result   : Theorem 27.97s 28.20s
% Output   : Proof 27.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   61 (   9 unt;  29 def)
%            Number of atoms       : 1680 (   0 equ)
%            Maximal formula atoms :  290 (  27 avg)
%            Number of connectives : 2810 (1191   ~; 903   |; 687   &)
%                                         (   0 <=>;   0  =>;  29  <=;   0 <~>)
%            Maximal formula depth :  119 (  14 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   61 (  60 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;   4 con; 0-1 aty)
%            Number of variables   :  392 (   0 sgn 341   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
% FILE RECORD
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ~ p30(X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ p1(X1) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ~ ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( ! [X2] :
                            ( ~ r1(X1,X2)
                            | ! [X1] :
                                ( ~ r1(X2,X1)
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ! [X2] :
                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                            | ! [X1] :
                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                | ! [X2] :
                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                    | ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | $false )
                                                                                                                                    | ~ ! [X1] :
                                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                                          | ~ ( ( p29(X1)
                                                                                                                                                & ~ p28(X1) )
                                                                                                                                              | ( ~ p29(X1)
                                                                                                                                                & p28(X1) ) ) ) )
                                                                                                                                | ~ ! [X2] :
                                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                                      | ~ ( ( p28(X2)
                                                                                                                                            & ~ p27(X2) )
                                                                                                                                          | ( ~ p28(X2)
                                                                                                                                            & p27(X2) ) ) ) )
                                                                                                                            | ~ ! [X1] :
                                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                                  | ~ ( ( p27(X1)
                                                                                                                                        & ~ p26(X1) )
                                                                                                                                      | ( ~ p27(X1)
                                                                                                                                        & p26(X1) ) ) ) )
                                                                                                                        | ~ ! [X2] :
                                                                                                                              ( ~ r1(X1,X2)
                                                                                                                              | ~ ( ( p26(X2)
                                                                                                                                    & ~ p25(X2) )
                                                                                                                                  | ( ~ p26(X2)
                                                                                                                                    & p25(X2) ) ) ) )
                                                                                                                    | ~ ! [X1] :
                                                                                                                          ( ~ r1(X2,X1)
                                                                                                                          | ~ ( ( p25(X1)
                                                                                                                                & ~ p24(X1) )
                                                                                                                              | ( ~ p25(X1)
                                                                                                                                & p24(X1) ) ) ) )
                                                                                                                | ~ ! [X2] :
                                                                                                                      ( ~ r1(X1,X2)
                                                                                                                      | ~ ( ( p24(X2)
                                                                                                                            & ~ p23(X2) )
                                                                                                                          | ( ~ p24(X2)
                                                                                                                            & p23(X2) ) ) ) )
                                                                                                            | ~ ! [X1] :
                                                                                                                  ( ~ r1(X2,X1)
                                                                                                                  | ~ ( ( p23(X1)
                                                                                                                        & ~ p22(X1) )
                                                                                                                      | ( ~ p23(X1)
                                                                                                                        & p22(X1) ) ) ) )
                                                                                                        | ~ ! [X2] :
                                                                                                              ( ~ r1(X1,X2)
                                                                                                              | ~ ( ( p22(X2)
                                                                                                                    & ~ p21(X2) )
                                                                                                                  | ( ~ p22(X2)
                                                                                                                    & p21(X2) ) ) ) )
                                                                                                    | ~ ! [X1] :
                                                                                                          ( ~ r1(X2,X1)
                                                                                                          | ~ ( ( p21(X1)
                                                                                                                & ~ p20(X1) )
                                                                                                              | ( ~ p21(X1)
                                                                                                                & p20(X1) ) ) ) )
                                                                                                | ~ ! [X2] :
                                                                                                      ( ~ r1(X1,X2)
                                                                                                      | ~ ( ( p20(X2)
                                                                                                            & ~ p19(X2) )
                                                                                                          | ( ~ p20(X2)
                                                                                                            & p19(X2) ) ) ) )
                                                                                            | ~ ! [X1] :
                                                                                                  ( ~ r1(X2,X1)
                                                                                                  | ~ ( ( p19(X1)
                                                                                                        & ~ p18(X1) )
                                                                                                      | ( ~ p19(X1)
                                                                                                        & p18(X1) ) ) ) )
                                                                                        | ~ ! [X2] :
                                                                                              ( ~ r1(X1,X2)
                                                                                              | ~ ( ( p18(X2)
                                                                                                    & ~ p17(X2) )
                                                                                                  | ( ~ p18(X2)
                                                                                                    & p17(X2) ) ) ) )
                                                                                    | ~ ! [X1] :
                                                                                          ( ~ r1(X2,X1)
                                                                                          | ~ ( ( p17(X1)
                                                                                                & ~ p16(X1) )
                                                                                              | ( ~ p17(X1)
                                                                                                & p16(X1) ) ) ) )
                                                                                | ~ ! [X2] :
                                                                                      ( ~ r1(X1,X2)
                                                                                      | ~ ( ( p16(X2)
                                                                                            & ~ p15(X2) )
                                                                                          | ( ~ p16(X2)
                                                                                            & p15(X2) ) ) ) )
                                                                            | ~ ! [X1] :
                                                                                  ( ~ r1(X2,X1)
                                                                                  | ~ ( ( p15(X1)
                                                                                        & ~ p14(X1) )
                                                                                      | ( ~ p15(X1)
                                                                                        & p14(X1) ) ) ) )
                                                                        | ~ ! [X2] :
                                                                              ( ~ r1(X1,X2)
                                                                              | ~ ( ( p14(X2)
                                                                                    & ~ p13(X2) )
                                                                                  | ( ~ p14(X2)
                                                                                    & p13(X2) ) ) ) )
                                                                    | ~ ! [X1] :
                                                                          ( ~ r1(X2,X1)
                                                                          | ~ ( ( p13(X1)
                                                                                & ~ p12(X1) )
                                                                              | ( ~ p13(X1)
                                                                                & p12(X1) ) ) ) )
                                                                | ~ ! [X2] :
                                                                      ( ~ r1(X1,X2)
                                                                      | ~ ( ( p12(X2)
                                                                            & ~ p11(X2) )
                                                                          | ( ~ p12(X2)
                                                                            & p11(X2) ) ) ) )
                                                            | ~ ! [X1] :
                                                                  ( ~ r1(X2,X1)
                                                                  | ~ ( ( p11(X1)
                                                                        & ~ p10(X1) )
                                                                      | ( ~ p11(X1)
                                                                        & p10(X1) ) ) ) )
                                                        | ~ ! [X2] :
                                                              ( ~ r1(X1,X2)
                                                              | ~ ( ( p10(X2)
                                                                    & ~ p9(X2) )
                                                                  | ( ~ p10(X2)
                                                                    & p9(X2) ) ) ) )
                                                    | ~ ! [X1] :
                                                          ( ~ r1(X2,X1)
                                                          | ~ ( ( p9(X1)
                                                                & ~ p8(X1) )
                                                              | ( ~ p9(X1)
                                                                & p8(X1) ) ) ) )
                                                | ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( p8(X2)
                                                            & ~ p7(X2) )
                                                          | ( ~ p8(X2)
                                                            & p7(X2) ) ) ) )
                                            | ~ ! [X1] :
                                                  ( ~ r1(X2,X1)
                                                  | ~ ( ( p7(X1)
                                                        & ~ p6(X1) )
                                                      | ( ~ p7(X1)
                                                        & p6(X1) ) ) ) )
                                        | ~ ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( p6(X2)
                                                    & ~ p5(X2) )
                                                  | ( ~ p6(X2)
                                                    & p5(X2) ) ) ) )
                                    | ~ ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ~ ( ( p5(X1)
                                                & ~ p4(X1) )
                                              | ( ~ p5(X1)
                                                & p4(X1) ) ) ) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( p4(X2)
                                            & ~ p3(X2) )
                                          | ( ~ p4(X2)
                                            & p3(X2) ) ) ) )
                            | ~ ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ~ ( ( p3(X1)
                                        & ~ p2(X1) )
                                      | ( ~ p3(X1)
                                        & p2(X1) ) ) ) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | ~ ( ( p2(X2)
                                    & ~ p1(X2) )
                                  | ( ~ p2(X2)
                                    & p1(X2) ) ) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p30(X2) )
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | ( ~ p28(X2)
                              & ~ p29(X2) )
                            | ( p29(X2)
                              & p28(X2) )
                            | ( ~ p27(X2)
                              & ~ p28(X2) )
                            | ( p28(X2)
                              & p27(X2) )
                            | ( ~ p26(X2)
                              & ~ p27(X2) )
                            | ( p27(X2)
                              & p26(X2) )
                            | ( ~ p25(X2)
                              & ~ p26(X2) )
                            | ( p26(X2)
                              & p25(X2) )
                            | ( ~ p24(X2)
                              & ~ p25(X2) )
                            | ( p25(X2)
                              & p24(X2) )
                            | ( ~ p23(X2)
                              & ~ p24(X2) )
                            | ( p24(X2)
                              & p23(X2) )
                            | ( ~ p22(X2)
                              & ~ p23(X2) )
                            | ( p23(X2)
                              & p22(X2) )
                            | ( ~ p21(X2)
                              & ~ p22(X2) )
                            | ( p22(X2)
                              & p21(X2) )
                            | ( ~ p20(X2)
                              & ~ p21(X2) )
                            | ( p21(X2)
                              & p20(X2) )
                            | ( ~ p19(X2)
                              & ~ p20(X2) )
                            | ( p20(X2)
                              & p19(X2) )
                            | ( ~ p18(X2)
                              & ~ p19(X2) )
                            | ( p19(X2)
                              & p18(X2) )
                            | ( ~ p17(X2)
                              & ~ p18(X2) )
                            | ( p18(X2)
                              & p17(X2) )
                            | ( ~ p16(X2)
                              & ~ p17(X2) )
                            | ( p17(X2)
                              & p16(X2) )
                            | ( ~ p15(X2)
                              & ~ p16(X2) )
                            | ( p16(X2)
                              & p15(X2) )
                            | ( ~ p14(X2)
                              & ~ p15(X2) )
                            | ( p15(X2)
                              & p14(X2) )
                            | ( ~ p13(X2)
                              & ~ p14(X2) )
                            | ( p14(X2)
                              & p13(X2) )
                            | ( ~ p12(X2)
                              & ~ p13(X2) )
                            | ( p13(X2)
                              & p12(X2) )
                            | ( ~ p11(X2)
                              & ~ p12(X2) )
                            | ( p12(X2)
                              & p11(X2) )
                            | ( ~ p10(X2)
                              & ~ p11(X2) )
                            | ( p11(X2)
                              & p10(X2) )
                            | ( ~ p9(X2)
                              & ~ p10(X2) )
                            | ( p10(X2)
                              & p9(X2) )
                            | ( ~ p8(X2)
                              & ~ p9(X2) )
                            | ( p9(X2)
                              & p8(X2) )
                            | ( ~ p7(X2)
                              & ~ p8(X2) )
                            | ( p8(X2)
                              & p7(X2) )
                            | ( ~ p6(X2)
                              & ~ p7(X2) )
                            | ( p7(X2)
                              & p6(X2) )
                            | ( ~ p5(X2)
                              & ~ p6(X2) )
                            | ( p6(X2)
                              & p5(X2) )
                            | ( ~ p4(X2)
                              & ~ p5(X2) )
                            | ( p5(X2)
                              & p4(X2) )
                            | ( ~ p3(X2)
                              & ~ p4(X2) )
                            | ( p4(X2)
                              & p3(X2) )
                            | ( ~ p2(X2)
                              & ~ p3(X2) )
                            | ( p3(X2)
                              & p2(X2) )
                            | ( ~ p1(X2)
                              & ~ p2(X2) )
                            | ( p2(X2)
                              & p1(X2) ) ) ) ) ) ),
    file('theBenchmark.p',main) ).

% NEGATING CONJECTURE
fof(main_nc,negated_conjecture,
    ? [X1] :
      ~ ( ! [X2] :
            ( ~ r1(X1,X2)
            | ~ p30(X2)
            | ! [X1] :
                ( ~ r1(X2,X1)
                | ~ p1(X1) ) )
        | ! [X2] :
            ( ~ r1(X1,X2)
            | ~ ! [X1] :
                  ( ~ r1(X2,X1)
                  | ~ ( ! [X2] :
                          ( ~ r1(X1,X2)
                          | ! [X1] :
                              ( ~ r1(X2,X1)
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | ! [X1] :
                                      ( ~ r1(X2,X1)
                                      | ! [X2] :
                                          ( ~ r1(X1,X2)
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ! [X1] :
                                                      ( ~ r1(X2,X1)
                                                      | ! [X2] :
                                                          ( ~ r1(X1,X2)
                                                          | ! [X1] :
                                                              ( ~ r1(X2,X1)
                                                              | ! [X2] :
                                                                  ( ~ r1(X1,X2)
                                                                  | ! [X1] :
                                                                      ( ~ r1(X2,X1)
                                                                      | ! [X2] :
                                                                          ( ~ r1(X1,X2)
                                                                          | ! [X1] :
                                                                              ( ~ r1(X2,X1)
                                                                              | ! [X2] :
                                                                                  ( ~ r1(X1,X2)
                                                                                  | ! [X1] :
                                                                                      ( ~ r1(X2,X1)
                                                                                      | ! [X2] :
                                                                                          ( ~ r1(X1,X2)
                                                                                          | ! [X1] :
                                                                                              ( ~ r1(X2,X1)
                                                                                              | ! [X2] :
                                                                                                  ( ~ r1(X1,X2)
                                                                                                  | ! [X1] :
                                                                                                      ( ~ r1(X2,X1)
                                                                                                      | ! [X2] :
                                                                                                          ( ~ r1(X1,X2)
                                                                                                          | ! [X1] :
                                                                                                              ( ~ r1(X2,X1)
                                                                                                              | ! [X2] :
                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                  | ! [X1] :
                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                      | ! [X2] :
                                                                                                                          ( ~ r1(X1,X2)
                                                                                                                          | ! [X1] :
                                                                                                                              ( ~ r1(X2,X1)
                                                                                                                              | ! [X2] :
                                                                                                                                  ( ~ r1(X1,X2)
                                                                                                                                  | ! [X1] :
                                                                                                                                      ( ~ r1(X2,X1)
                                                                                                                                      | $false )
                                                                                                                                  | ~ ! [X1] :
                                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                                        | ~ ( ( p29(X1)
                                                                                                                                              & ~ p28(X1) )
                                                                                                                                            | ( ~ p29(X1)
                                                                                                                                              & p28(X1) ) ) ) )
                                                                                                                              | ~ ! [X2] :
                                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                                    | ~ ( ( p28(X2)
                                                                                                                                          & ~ p27(X2) )
                                                                                                                                        | ( ~ p28(X2)
                                                                                                                                          & p27(X2) ) ) ) )
                                                                                                                          | ~ ! [X1] :
                                                                                                                                ( ~ r1(X2,X1)
                                                                                                                                | ~ ( ( p27(X1)
                                                                                                                                      & ~ p26(X1) )
                                                                                                                                    | ( ~ p27(X1)
                                                                                                                                      & p26(X1) ) ) ) )
                                                                                                                      | ~ ! [X2] :
                                                                                                                            ( ~ r1(X1,X2)
                                                                                                                            | ~ ( ( p26(X2)
                                                                                                                                  & ~ p25(X2) )
                                                                                                                                | ( ~ p26(X2)
                                                                                                                                  & p25(X2) ) ) ) )
                                                                                                                  | ~ ! [X1] :
                                                                                                                        ( ~ r1(X2,X1)
                                                                                                                        | ~ ( ( p25(X1)
                                                                                                                              & ~ p24(X1) )
                                                                                                                            | ( ~ p25(X1)
                                                                                                                              & p24(X1) ) ) ) )
                                                                                                              | ~ ! [X2] :
                                                                                                                    ( ~ r1(X1,X2)
                                                                                                                    | ~ ( ( p24(X2)
                                                                                                                          & ~ p23(X2) )
                                                                                                                        | ( ~ p24(X2)
                                                                                                                          & p23(X2) ) ) ) )
                                                                                                          | ~ ! [X1] :
                                                                                                                ( ~ r1(X2,X1)
                                                                                                                | ~ ( ( p23(X1)
                                                                                                                      & ~ p22(X1) )
                                                                                                                    | ( ~ p23(X1)
                                                                                                                      & p22(X1) ) ) ) )
                                                                                                      | ~ ! [X2] :
                                                                                                            ( ~ r1(X1,X2)
                                                                                                            | ~ ( ( p22(X2)
                                                                                                                  & ~ p21(X2) )
                                                                                                                | ( ~ p22(X2)
                                                                                                                  & p21(X2) ) ) ) )
                                                                                                  | ~ ! [X1] :
                                                                                                        ( ~ r1(X2,X1)
                                                                                                        | ~ ( ( p21(X1)
                                                                                                              & ~ p20(X1) )
                                                                                                            | ( ~ p21(X1)
                                                                                                              & p20(X1) ) ) ) )
                                                                                              | ~ ! [X2] :
                                                                                                    ( ~ r1(X1,X2)
                                                                                                    | ~ ( ( p20(X2)
                                                                                                          & ~ p19(X2) )
                                                                                                        | ( ~ p20(X2)
                                                                                                          & p19(X2) ) ) ) )
                                                                                          | ~ ! [X1] :
                                                                                                ( ~ r1(X2,X1)
                                                                                                | ~ ( ( p19(X1)
                                                                                                      & ~ p18(X1) )
                                                                                                    | ( ~ p19(X1)
                                                                                                      & p18(X1) ) ) ) )
                                                                                      | ~ ! [X2] :
                                                                                            ( ~ r1(X1,X2)
                                                                                            | ~ ( ( p18(X2)
                                                                                                  & ~ p17(X2) )
                                                                                                | ( ~ p18(X2)
                                                                                                  & p17(X2) ) ) ) )
                                                                                  | ~ ! [X1] :
                                                                                        ( ~ r1(X2,X1)
                                                                                        | ~ ( ( p17(X1)
                                                                                              & ~ p16(X1) )
                                                                                            | ( ~ p17(X1)
                                                                                              & p16(X1) ) ) ) )
                                                                              | ~ ! [X2] :
                                                                                    ( ~ r1(X1,X2)
                                                                                    | ~ ( ( p16(X2)
                                                                                          & ~ p15(X2) )
                                                                                        | ( ~ p16(X2)
                                                                                          & p15(X2) ) ) ) )
                                                                          | ~ ! [X1] :
                                                                                ( ~ r1(X2,X1)
                                                                                | ~ ( ( p15(X1)
                                                                                      & ~ p14(X1) )
                                                                                    | ( ~ p15(X1)
                                                                                      & p14(X1) ) ) ) )
                                                                      | ~ ! [X2] :
                                                                            ( ~ r1(X1,X2)
                                                                            | ~ ( ( p14(X2)
                                                                                  & ~ p13(X2) )
                                                                                | ( ~ p14(X2)
                                                                                  & p13(X2) ) ) ) )
                                                                  | ~ ! [X1] :
                                                                        ( ~ r1(X2,X1)
                                                                        | ~ ( ( p13(X1)
                                                                              & ~ p12(X1) )
                                                                            | ( ~ p13(X1)
                                                                              & p12(X1) ) ) ) )
                                                              | ~ ! [X2] :
                                                                    ( ~ r1(X1,X2)
                                                                    | ~ ( ( p12(X2)
                                                                          & ~ p11(X2) )
                                                                        | ( ~ p12(X2)
                                                                          & p11(X2) ) ) ) )
                                                          | ~ ! [X1] :
                                                                ( ~ r1(X2,X1)
                                                                | ~ ( ( p11(X1)
                                                                      & ~ p10(X1) )
                                                                    | ( ~ p11(X1)
                                                                      & p10(X1) ) ) ) )
                                                      | ~ ! [X2] :
                                                            ( ~ r1(X1,X2)
                                                            | ~ ( ( p10(X2)
                                                                  & ~ p9(X2) )
                                                                | ( ~ p10(X2)
                                                                  & p9(X2) ) ) ) )
                                                  | ~ ! [X1] :
                                                        ( ~ r1(X2,X1)
                                                        | ~ ( ( p9(X1)
                                                              & ~ p8(X1) )
                                                            | ( ~ p9(X1)
                                                              & p8(X1) ) ) ) )
                                              | ~ ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ~ ( ( p8(X2)
                                                          & ~ p7(X2) )
                                                        | ( ~ p8(X2)
                                                          & p7(X2) ) ) ) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ( ( p7(X1)
                                                      & ~ p6(X1) )
                                                    | ( ~ p7(X1)
                                                      & p6(X1) ) ) ) )
                                      | ~ ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ~ ( ( p6(X2)
                                                  & ~ p5(X2) )
                                                | ( ~ p6(X2)
                                                  & p5(X2) ) ) ) )
                                  | ~ ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ~ ( ( p5(X1)
                                              & ~ p4(X1) )
                                            | ( ~ p5(X1)
                                              & p4(X1) ) ) ) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ( p4(X2)
                                          & ~ p3(X2) )
                                        | ( ~ p4(X2)
                                          & p3(X2) ) ) ) )
                          | ~ ! [X1] :
                                ( ~ r1(X2,X1)
                                | ~ ( ( p3(X1)
                                      & ~ p2(X1) )
                                    | ( ~ p3(X1)
                                      & p2(X1) ) ) ) )
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | ~ ( ( p2(X2)
                                  & ~ p1(X2) )
                                | ( ~ p2(X2)
                                  & p1(X2) ) ) )
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | p30(X2) )
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | ( ~ p28(X2)
                            & ~ p29(X2) )
                          | ( p29(X2)
                            & p28(X2) )
                          | ( ~ p27(X2)
                            & ~ p28(X2) )
                          | ( p28(X2)
                            & p27(X2) )
                          | ( ~ p26(X2)
                            & ~ p27(X2) )
                          | ( p27(X2)
                            & p26(X2) )
                          | ( ~ p25(X2)
                            & ~ p26(X2) )
                          | ( p26(X2)
                            & p25(X2) )
                          | ( ~ p24(X2)
                            & ~ p25(X2) )
                          | ( p25(X2)
                            & p24(X2) )
                          | ( ~ p23(X2)
                            & ~ p24(X2) )
                          | ( p24(X2)
                            & p23(X2) )
                          | ( ~ p22(X2)
                            & ~ p23(X2) )
                          | ( p23(X2)
                            & p22(X2) )
                          | ( ~ p21(X2)
                            & ~ p22(X2) )
                          | ( p22(X2)
                            & p21(X2) )
                          | ( ~ p20(X2)
                            & ~ p21(X2) )
                          | ( p21(X2)
                            & p20(X2) )
                          | ( ~ p19(X2)
                            & ~ p20(X2) )
                          | ( p20(X2)
                            & p19(X2) )
                          | ( ~ p18(X2)
                            & ~ p19(X2) )
                          | ( p19(X2)
                            & p18(X2) )
                          | ( ~ p17(X2)
                            & ~ p18(X2) )
                          | ( p18(X2)
                            & p17(X2) )
                          | ( ~ p16(X2)
                            & ~ p17(X2) )
                          | ( p17(X2)
                            & p16(X2) )
                          | ( ~ p15(X2)
                            & ~ p16(X2) )
                          | ( p16(X2)
                            & p15(X2) )
                          | ( ~ p14(X2)
                            & ~ p15(X2) )
                          | ( p15(X2)
                            & p14(X2) )
                          | ( ~ p13(X2)
                            & ~ p14(X2) )
                          | ( p14(X2)
                            & p13(X2) )
                          | ( ~ p12(X2)
                            & ~ p13(X2) )
                          | ( p13(X2)
                            & p12(X2) )
                          | ( ~ p11(X2)
                            & ~ p12(X2) )
                          | ( p12(X2)
                            & p11(X2) )
                          | ( ~ p10(X2)
                            & ~ p11(X2) )
                          | ( p11(X2)
                            & p10(X2) )
                          | ( ~ p9(X2)
                            & ~ p10(X2) )
                          | ( p10(X2)
                            & p9(X2) )
                          | ( ~ p8(X2)
                            & ~ p9(X2) )
                          | ( p9(X2)
                            & p8(X2) )
                          | ( ~ p7(X2)
                            & ~ p8(X2) )
                          | ( p8(X2)
                            & p7(X2) )
                          | ( ~ p6(X2)
                            & ~ p7(X2) )
                          | ( p7(X2)
                            & p6(X2) )
                          | ( ~ p5(X2)
                            & ~ p6(X2) )
                          | ( p6(X2)
                            & p5(X2) )
                          | ( ~ p4(X2)
                            & ~ p5(X2) )
                          | ( p5(X2)
                            & p4(X2) )
                          | ( ~ p3(X2)
                            & ~ p4(X2) )
                          | ( p4(X2)
                            & p3(X2) )
                          | ( ~ p2(X2)
                            & ~ p3(X2) )
                          | ( p3(X2)
                            & p2(X2) )
                          | ( ~ p1(X2)
                            & ~ p2(X2) )
                          | ( p2(X2)
                            & p1(X2) ) ) ) ) ) ),
    inference(negating_conjecture,[status(cth)],[main]) ).

% FOF SIMPLE INFERENCE
fof(main_nc_elimTB,negated_conjecture,
    ? [X1] :
      ~ ( ! [X2] :
            ( ~ r1(X1,X2)
            | ~ p30(X2)
            | ! [X3] :
                ( ~ r1(X2,X3)
                | ~ p1(X3) ) )
        | ! [X4] :
            ( ~ r1(X1,X4)
            | ~ ! [X5] :
                  ( ~ r1(X4,X5)
                  | ~ ( ! [X6] :
                          ( ~ r1(X5,X6)
                          | ! [X7] :
                              ( ~ r1(X6,X7)
                              | ! [X8] :
                                  ( ~ r1(X7,X8)
                                  | ! [X9] :
                                      ( ~ r1(X8,X9)
                                      | ! [X10] :
                                          ( ~ r1(X9,X10)
                                          | ! [X11] :
                                              ( ~ r1(X10,X11)
                                              | ! [X12] :
                                                  ( ~ r1(X11,X12)
                                                  | ! [X13] :
                                                      ( ~ r1(X12,X13)
                                                      | ! [X14] :
                                                          ( ~ r1(X13,X14)
                                                          | ! [X15] :
                                                              ( ~ r1(X14,X15)
                                                              | ! [X16] :
                                                                  ( ~ r1(X15,X16)
                                                                  | ! [X17] :
                                                                      ( ~ r1(X16,X17)
                                                                      | ! [X18] :
                                                                          ( ~ r1(X17,X18)
                                                                          | ! [X19] :
                                                                              ( ~ r1(X18,X19)
                                                                              | ! [X20] :
                                                                                  ( ~ r1(X19,X20)
                                                                                  | ! [X21] :
                                                                                      ( ~ r1(X20,X21)
                                                                                      | ! [X22] :
                                                                                          ( ~ r1(X21,X22)
                                                                                          | ! [X23] :
                                                                                              ( ~ r1(X22,X23)
                                                                                              | ! [X24] :
                                                                                                  ( ~ r1(X23,X24)
                                                                                                  | ! [X25] :
                                                                                                      ( ~ r1(X24,X25)
                                                                                                      | ! [X26] :
                                                                                                          ( ~ r1(X25,X26)
                                                                                                          | ! [X27] :
                                                                                                              ( ~ r1(X26,X27)
                                                                                                              | ! [X28] :
                                                                                                                  ( ~ r1(X27,X28)
                                                                                                                  | ! [X29] :
                                                                                                                      ( ~ r1(X28,X29)
                                                                                                                      | ! [X30] :
                                                                                                                          ( ~ r1(X29,X30)
                                                                                                                          | ! [X31] :
                                                                                                                              ( ~ r1(X30,X31)
                                                                                                                              | ! [X32] :
                                                                                                                                  ( ~ r1(X31,X32)
                                                                                                                                  | ! [X33] : ~ r1(X32,X33)
                                                                                                                                  | ~ ! [X34] :
                                                                                                                                        ( ~ r1(X32,X34)
                                                                                                                                        | ~ ( ( p29(X34)
                                                                                                                                              & ~ p28(X34) )
                                                                                                                                            | ( ~ p29(X34)
                                                                                                                                              & p28(X34) ) ) ) )
                                                                                                                              | ~ ! [X35] :
                                                                                                                                    ( ~ r1(X31,X35)
                                                                                                                                    | ~ ( ( p28(X35)
                                                                                                                                          & ~ p27(X35) )
                                                                                                                                        | ( ~ p28(X35)
                                                                                                                                          & p27(X35) ) ) ) )
                                                                                                                          | ~ ! [X36] :
                                                                                                                                ( ~ r1(X30,X36)
                                                                                                                                | ~ ( ( p27(X36)
                                                                                                                                      & ~ p26(X36) )
                                                                                                                                    | ( ~ p27(X36)
                                                                                                                                      & p26(X36) ) ) ) )
                                                                                                                      | ~ ! [X37] :
                                                                                                                            ( ~ r1(X29,X37)
                                                                                                                            | ~ ( ( p26(X37)
                                                                                                                                  & ~ p25(X37) )
                                                                                                                                | ( ~ p26(X37)
                                                                                                                                  & p25(X37) ) ) ) )
                                                                                                                  | ~ ! [X38] :
                                                                                                                        ( ~ r1(X28,X38)
                                                                                                                        | ~ ( ( p25(X38)
                                                                                                                              & ~ p24(X38) )
                                                                                                                            | ( ~ p25(X38)
                                                                                                                              & p24(X38) ) ) ) )
                                                                                                              | ~ ! [X39] :
                                                                                                                    ( ~ r1(X27,X39)
                                                                                                                    | ~ ( ( p24(X39)
                                                                                                                          & ~ p23(X39) )
                                                                                                                        | ( ~ p24(X39)
                                                                                                                          & p23(X39) ) ) ) )
                                                                                                          | ~ ! [X40] :
                                                                                                                ( ~ r1(X26,X40)
                                                                                                                | ~ ( ( p23(X40)
                                                                                                                      & ~ p22(X40) )
                                                                                                                    | ( ~ p23(X40)
                                                                                                                      & p22(X40) ) ) ) )
                                                                                                      | ~ ! [X41] :
                                                                                                            ( ~ r1(X25,X41)
                                                                                                            | ~ ( ( p22(X41)
                                                                                                                  & ~ p21(X41) )
                                                                                                                | ( ~ p22(X41)
                                                                                                                  & p21(X41) ) ) ) )
                                                                                                  | ~ ! [X42] :
                                                                                                        ( ~ r1(X24,X42)
                                                                                                        | ~ ( ( p21(X42)
                                                                                                              & ~ p20(X42) )
                                                                                                            | ( ~ p21(X42)
                                                                                                              & p20(X42) ) ) ) )
                                                                                              | ~ ! [X43] :
                                                                                                    ( ~ r1(X23,X43)
                                                                                                    | ~ ( ( p20(X43)
                                                                                                          & ~ p19(X43) )
                                                                                                        | ( ~ p20(X43)
                                                                                                          & p19(X43) ) ) ) )
                                                                                          | ~ ! [X44] :
                                                                                                ( ~ r1(X22,X44)
                                                                                                | ~ ( ( p19(X44)
                                                                                                      & ~ p18(X44) )
                                                                                                    | ( ~ p19(X44)
                                                                                                      & p18(X44) ) ) ) )
                                                                                      | ~ ! [X45] :
                                                                                            ( ~ r1(X21,X45)
                                                                                            | ~ ( ( p18(X45)
                                                                                                  & ~ p17(X45) )
                                                                                                | ( ~ p18(X45)
                                                                                                  & p17(X45) ) ) ) )
                                                                                  | ~ ! [X46] :
                                                                                        ( ~ r1(X20,X46)
                                                                                        | ~ ( ( p17(X46)
                                                                                              & ~ p16(X46) )
                                                                                            | ( ~ p17(X46)
                                                                                              & p16(X46) ) ) ) )
                                                                              | ~ ! [X47] :
                                                                                    ( ~ r1(X19,X47)
                                                                                    | ~ ( ( p16(X47)
                                                                                          & ~ p15(X47) )
                                                                                        | ( ~ p16(X47)
                                                                                          & p15(X47) ) ) ) )
                                                                          | ~ ! [X48] :
                                                                                ( ~ r1(X18,X48)
                                                                                | ~ ( ( p15(X48)
                                                                                      & ~ p14(X48) )
                                                                                    | ( ~ p15(X48)
                                                                                      & p14(X48) ) ) ) )
                                                                      | ~ ! [X49] :
                                                                            ( ~ r1(X17,X49)
                                                                            | ~ ( ( p14(X49)
                                                                                  & ~ p13(X49) )
                                                                                | ( ~ p14(X49)
                                                                                  & p13(X49) ) ) ) )
                                                                  | ~ ! [X50] :
                                                                        ( ~ r1(X16,X50)
                                                                        | ~ ( ( p13(X50)
                                                                              & ~ p12(X50) )
                                                                            | ( ~ p13(X50)
                                                                              & p12(X50) ) ) ) )
                                                              | ~ ! [X51] :
                                                                    ( ~ r1(X15,X51)
                                                                    | ~ ( ( p12(X51)
                                                                          & ~ p11(X51) )
                                                                        | ( ~ p12(X51)
                                                                          & p11(X51) ) ) ) )
                                                          | ~ ! [X52] :
                                                                ( ~ r1(X14,X52)
                                                                | ~ ( ( p11(X52)
                                                                      & ~ p10(X52) )
                                                                    | ( ~ p11(X52)
                                                                      & p10(X52) ) ) ) )
                                                      | ~ ! [X53] :
                                                            ( ~ r1(X13,X53)
                                                            | ~ ( ( p10(X53)
                                                                  & ~ p9(X53) )
                                                                | ( ~ p10(X53)
                                                                  & p9(X53) ) ) ) )
                                                  | ~ ! [X54] :
                                                        ( ~ r1(X12,X54)
                                                        | ~ ( ( p9(X54)
                                                              & ~ p8(X54) )
                                                            | ( ~ p9(X54)
                                                              & p8(X54) ) ) ) )
                                              | ~ ! [X55] :
                                                    ( ~ r1(X11,X55)
                                                    | ~ ( ( p8(X55)
                                                          & ~ p7(X55) )
                                                        | ( ~ p8(X55)
                                                          & p7(X55) ) ) ) )
                                          | ~ ! [X56] :
                                                ( ~ r1(X10,X56)
                                                | ~ ( ( p7(X56)
                                                      & ~ p6(X56) )
                                                    | ( ~ p7(X56)
                                                      & p6(X56) ) ) ) )
                                      | ~ ! [X57] :
                                            ( ~ r1(X9,X57)
                                            | ~ ( ( p6(X57)
                                                  & ~ p5(X57) )
                                                | ( ~ p6(X57)
                                                  & p5(X57) ) ) ) )
                                  | ~ ! [X58] :
                                        ( ~ r1(X8,X58)
                                        | ~ ( ( p5(X58)
                                              & ~ p4(X58) )
                                            | ( ~ p5(X58)
                                              & p4(X58) ) ) ) )
                              | ~ ! [X59] :
                                    ( ~ r1(X7,X59)
                                    | ~ ( ( p4(X59)
                                          & ~ p3(X59) )
                                        | ( ~ p4(X59)
                                          & p3(X59) ) ) ) )
                          | ~ ! [X60] :
                                ( ~ r1(X6,X60)
                                | ~ ( ( p3(X60)
                                      & ~ p2(X60) )
                                    | ( ~ p3(X60)
                                      & p2(X60) ) ) ) )
                      | ~ ! [X61] :
                            ( ~ r1(X5,X61)
                            | ~ ( ( p2(X61)
                                  & ~ p1(X61) )
                                | ( ~ p2(X61)
                                  & p1(X61) ) ) )
                      | ! [X62] :
                          ( ~ r1(X5,X62)
                          | p30(X62) )
                      | ! [X63] :
                          ( ~ r1(X5,X63)
                          | ( ~ p28(X63)
                            & ~ p29(X63) )
                          | ( p29(X63)
                            & p28(X63) )
                          | ( ~ p27(X63)
                            & ~ p28(X63) )
                          | ( p28(X63)
                            & p27(X63) )
                          | ( ~ p26(X63)
                            & ~ p27(X63) )
                          | ( p27(X63)
                            & p26(X63) )
                          | ( ~ p25(X63)
                            & ~ p26(X63) )
                          | ( p26(X63)
                            & p25(X63) )
                          | ( ~ p24(X63)
                            & ~ p25(X63) )
                          | ( p25(X63)
                            & p24(X63) )
                          | ( ~ p23(X63)
                            & ~ p24(X63) )
                          | ( p24(X63)
                            & p23(X63) )
                          | ( ~ p22(X63)
                            & ~ p23(X63) )
                          | ( p23(X63)
                            & p22(X63) )
                          | ( ~ p21(X63)
                            & ~ p22(X63) )
                          | ( p22(X63)
                            & p21(X63) )
                          | ( ~ p20(X63)
                            & ~ p21(X63) )
                          | ( p21(X63)
                            & p20(X63) )
                          | ( ~ p19(X63)
                            & ~ p20(X63) )
                          | ( p20(X63)
                            & p19(X63) )
                          | ( ~ p18(X63)
                            & ~ p19(X63) )
                          | ( p19(X63)
                            & p18(X63) )
                          | ( ~ p17(X63)
                            & ~ p18(X63) )
                          | ( p18(X63)
                            & p17(X63) )
                          | ( ~ p16(X63)
                            & ~ p17(X63) )
                          | ( p17(X63)
                            & p16(X63) )
                          | ( ~ p15(X63)
                            & ~ p16(X63) )
                          | ( p16(X63)
                            & p15(X63) )
                          | ( ~ p14(X63)
                            & ~ p15(X63) )
                          | ( p15(X63)
                            & p14(X63) )
                          | ( ~ p13(X63)
                            & ~ p14(X63) )
                          | ( p14(X63)
                            & p13(X63) )
                          | ( ~ p12(X63)
                            & ~ p13(X63) )
                          | ( p13(X63)
                            & p12(X63) )
                          | ( ~ p11(X63)
                            & ~ p12(X63) )
                          | ( p12(X63)
                            & p11(X63) )
                          | ( ~ p10(X63)
                            & ~ p11(X63) )
                          | ( p11(X63)
                            & p10(X63) )
                          | ( ~ p9(X63)
                            & ~ p10(X63) )
                          | ( p10(X63)
                            & p9(X63) )
                          | ( ~ p8(X63)
                            & ~ p9(X63) )
                          | ( p9(X63)
                            & p8(X63) )
                          | ( ~ p7(X63)
                            & ~ p8(X63) )
                          | ( p8(X63)
                            & p7(X63) )
                          | ( ~ p6(X63)
                            & ~ p7(X63) )
                          | ( p7(X63)
                            & p6(X63) )
                          | ( ~ p5(X63)
                            & ~ p6(X63) )
                          | ( p6(X63)
                            & p5(X63) )
                          | ( ~ p4(X63)
                            & ~ p5(X63) )
                          | ( p5(X63)
                            & p4(X63) )
                          | ( ~ p3(X63)
                            & ~ p4(X63) )
                          | ( p4(X63)
                            & p3(X63) )
                          | ( ~ p2(X63)
                            & ~ p3(X63) )
                          | ( p3(X63)
                            & p2(X63) )
                          | ( ~ p1(X63)
                            & ~ p2(X63) )
                          | ( p2(X63)
                            & p1(X63) ) ) ) ) ) ),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[main_nc])]) ).

% FOF INTRODUCE RENAMING
fof(ren28_defn,definition,
    ! [X61] :
      ( ren28(X61)
     <= ( ( p2(X61)
          & ~ p1(X61) )
        | ( ~ p2(X61)
          & p1(X61) ) ) ),
    introduced(definition,[new_symbols(definition,[ren28])],[main_nc_elimTB]) ).

% FOF SIMPLE INFERENCE
fof(ren28_elimImpEquivPushNegMiniScope,plain,
    ! [X1] :
      ( ( ( ~ p2(X1)
          | p1(X1) )
        & ( p2(X1)
          | ~ p1(X1) ) )
      | ren28(X1) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[ren28_defn]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_58,plain,
    ( ~ p1(X0)
    | p2(X0)
    | ren28(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren28_elimImpEquivPushNegMiniScope])]) ).

% FOF INTRODUCE RENAMING
fof(ren29_defn,definition,
    ! [X5] :
      ( ren29(X5)
     <= ( ! [X6] :
            ( ~ r1(X5,X6)
            | ! [X7] :
                ( ~ r1(X6,X7)
                | ! [X8] :
                    ( ~ r1(X7,X8)
                    | ! [X9] :
                        ( ~ r1(X8,X9)
                        | ! [X10] :
                            ( ~ r1(X9,X10)
                            | ! [X11] :
                                ( ~ r1(X10,X11)
                                | ! [X12] :
                                    ( ~ r1(X11,X12)
                                    | ! [X13] :
                                        ( ~ r1(X12,X13)
                                        | ! [X14] :
                                            ( ~ r1(X13,X14)
                                            | ! [X15] :
                                                ( ~ r1(X14,X15)
                                                | ! [X16] :
                                                    ( ~ r1(X15,X16)
                                                    | ! [X17] :
                                                        ( ~ r1(X16,X17)
                                                        | ! [X18] :
                                                            ( ~ r1(X17,X18)
                                                            | ! [X19] :
                                                                ( ~ r1(X18,X19)
                                                                | ! [X20] :
                                                                    ( ~ r1(X19,X20)
                                                                    | ! [X21] :
                                                                        ( ~ r1(X20,X21)
                                                                        | ! [X22] :
                                                                            ( ~ r1(X21,X22)
                                                                            | ! [X23] :
                                                                                ( ~ r1(X22,X23)
                                                                                | ! [X24] :
                                                                                    ( ~ r1(X23,X24)
                                                                                    | ! [X25] :
                                                                                        ( ~ r1(X24,X25)
                                                                                        | ! [X26] :
                                                                                            ( ~ r1(X25,X26)
                                                                                            | ! [X27] :
                                                                                                ( ~ r1(X26,X27)
                                                                                                | ! [X28] :
                                                                                                    ( ~ r1(X27,X28)
                                                                                                    | ! [X29] :
                                                                                                        ( ~ r1(X28,X29)
                                                                                                        | ! [X30] :
                                                                                                            ( ~ r1(X29,X30)
                                                                                                            | ! [X31] :
                                                                                                                ( ~ r1(X30,X31)
                                                                                                                | ! [X32] :
                                                                                                                    ( ~ r1(X31,X32)
                                                                                                                    | ! [X33] : ~ r1(X32,X33)
                                                                                                                    | ~ ! [X34] :
                                                                                                                          ( ~ r1(X32,X34)
                                                                                                                          | ~ ren1(X34) ) )
                                                                                                                | ~ ! [X35] :
                                                                                                                      ( ~ r1(X31,X35)
                                                                                                                      | ~ ren2(X35) ) )
                                                                                                            | ~ ! [X36] :
                                                                                                                  ( ~ r1(X30,X36)
                                                                                                                  | ~ ren3(X36) ) )
                                                                                                        | ~ ! [X37] :
                                                                                                              ( ~ r1(X29,X37)
                                                                                                              | ~ ren4(X37) ) )
                                                                                                    | ~ ! [X38] :
                                                                                                          ( ~ r1(X28,X38)
                                                                                                          | ~ ren5(X38) ) )
                                                                                                | ~ ! [X39] :
                                                                                                      ( ~ r1(X27,X39)
                                                                                                      | ~ ren6(X39) ) )
                                                                                            | ~ ! [X40] :
                                                                                                  ( ~ r1(X26,X40)
                                                                                                  | ~ ren7(X40) ) )
                                                                                        | ~ ! [X41] :
                                                                                              ( ~ r1(X25,X41)
                                                                                              | ~ ren8(X41) ) )
                                                                                    | ~ ! [X42] :
                                                                                          ( ~ r1(X24,X42)
                                                                                          | ~ ren9(X42) ) )
                                                                                | ~ ! [X43] :
                                                                                      ( ~ r1(X23,X43)
                                                                                      | ~ ren10(X43) ) )
                                                                            | ~ ! [X44] :
                                                                                  ( ~ r1(X22,X44)
                                                                                  | ~ ren11(X44) ) )
                                                                        | ~ ! [X45] :
                                                                              ( ~ r1(X21,X45)
                                                                              | ~ ren12(X45) ) )
                                                                    | ~ ! [X46] :
                                                                          ( ~ r1(X20,X46)
                                                                          | ~ ren13(X46) ) )
                                                                | ~ ! [X47] :
                                                                      ( ~ r1(X19,X47)
                                                                      | ~ ren14(X47) ) )
                                                            | ~ ! [X48] :
                                                                  ( ~ r1(X18,X48)
                                                                  | ~ ren15(X48) ) )
                                                        | ~ ! [X49] :
                                                              ( ~ r1(X17,X49)
                                                              | ~ ren16(X49) ) )
                                                    | ~ ! [X50] :
                                                          ( ~ r1(X16,X50)
                                                          | ~ ren17(X50) ) )
                                                | ~ ! [X51] :
                                                      ( ~ r1(X15,X51)
                                                      | ~ ren18(X51) ) )
                                            | ~ ! [X52] :
                                                  ( ~ r1(X14,X52)
                                                  | ~ ren19(X52) ) )
                                        | ~ ! [X53] :
                                              ( ~ r1(X13,X53)
                                              | ~ ren20(X53) ) )
                                    | ~ ! [X54] :
                                          ( ~ r1(X12,X54)
                                          | ~ ren21(X54) ) )
                                | ~ ! [X55] :
                                      ( ~ r1(X11,X55)
                                      | ~ ren22(X55) ) )
                            | ~ ! [X56] :
                                  ( ~ r1(X10,X56)
                                  | ~ ren23(X56) ) )
                        | ~ ! [X57] :
                              ( ~ r1(X9,X57)
                              | ~ ren24(X57) ) )
                    | ~ ! [X58] :
                          ( ~ r1(X8,X58)
                          | ~ ren25(X58) ) )
                | ~ ! [X59] :
                      ( ~ r1(X7,X59)
                      | ~ ren26(X59) ) )
            | ~ ! [X60] :
                  ( ~ r1(X6,X60)
                  | ~ ren27(X60) ) )
        | ~ ! [X61] :
              ( ~ r1(X5,X61)
              | ~ ren28(X61) )
        | ! [X62] :
            ( ~ r1(X5,X62)
            | p30(X62) )
        | ! [X63] :
            ( ~ r1(X5,X63)
            | ( ~ p28(X63)
              & ~ p29(X63) )
            | ( p29(X63)
              & p28(X63) )
            | ( ~ p27(X63)
              & ~ p28(X63) )
            | ( p28(X63)
              & p27(X63) )
            | ( ~ p26(X63)
              & ~ p27(X63) )
            | ( p27(X63)
              & p26(X63) )
            | ( ~ p25(X63)
              & ~ p26(X63) )
            | ( p26(X63)
              & p25(X63) )
            | ( ~ p24(X63)
              & ~ p25(X63) )
            | ( p25(X63)
              & p24(X63) )
            | ( ~ p23(X63)
              & ~ p24(X63) )
            | ( p24(X63)
              & p23(X63) )
            | ( ~ p22(X63)
              & ~ p23(X63) )
            | ( p23(X63)
              & p22(X63) )
            | ( ~ p21(X63)
              & ~ p22(X63) )
            | ( p22(X63)
              & p21(X63) )
            | ( ~ p20(X63)
              & ~ p21(X63) )
            | ( p21(X63)
              & p20(X63) )
            | ( ~ p19(X63)
              & ~ p20(X63) )
            | ( p20(X63)
              & p19(X63) )
            | ( ~ p18(X63)
              & ~ p19(X63) )
            | ( p19(X63)
              & p18(X63) )
            | ( ~ p17(X63)
              & ~ p18(X63) )
            | ( p18(X63)
              & p17(X63) )
            | ( ~ p16(X63)
              & ~ p17(X63) )
            | ( p17(X63)
              & p16(X63) )
            | ( ~ p15(X63)
              & ~ p16(X63) )
            | ( p16(X63)
              & p15(X63) )
            | ( ~ p14(X63)
              & ~ p15(X63) )
            | ( p15(X63)
              & p14(X63) )
            | ( ~ p13(X63)
              & ~ p14(X63) )
            | ( p14(X63)
              & p13(X63) )
            | ( ~ p12(X63)
              & ~ p13(X63) )
            | ( p13(X63)
              & p12(X63) )
            | ( ~ p11(X63)
              & ~ p12(X63) )
            | ( p12(X63)
              & p11(X63) )
            | ( ~ p10(X63)
              & ~ p11(X63) )
            | ( p11(X63)
              & p10(X63) )
            | ( ~ p9(X63)
              & ~ p10(X63) )
            | ( p10(X63)
              & p9(X63) )
            | ( ~ p8(X63)
              & ~ p9(X63) )
            | ( p9(X63)
              & p8(X63) )
            | ( ~ p7(X63)
              & ~ p8(X63) )
            | ( p8(X63)
              & p7(X63) )
            | ( ~ p6(X63)
              & ~ p7(X63) )
            | ( p7(X63)
              & p6(X63) )
            | ( ~ p5(X63)
              & ~ p6(X63) )
            | ( p6(X63)
              & p5(X63) )
            | ( ~ p4(X63)
              & ~ p5(X63) )
            | ( p5(X63)
              & p4(X63) )
            | ( ~ p3(X63)
              & ~ p4(X63) )
            | ( p4(X63)
              & p3(X63) )
            | ( ~ p2(X63)
              & ~ p3(X63) )
            | ( p3(X63)
              & p2(X63) )
            | ( ~ p1(X63)
              & ~ p2(X63) )
            | ( p2(X63)
              & p1(X63) ) ) ) ),
    introduced(definition,[new_symbols(definition,[ren29])],[main_nc_elimTB]) ).

% FOF SIMPLE INFERENCE
fof(ren29_elimImpEquivPushNegMiniScope,plain,
    ! [X1] :
      ( ( ? [X2] :
            ( r1(X1,X2)
            & ? [X3] :
                ( r1(X2,X3)
                & ? [X4] :
                    ( r1(X3,X4)
                    & ? [X5] :
                        ( r1(X4,X5)
                        & ? [X6] :
                            ( r1(X5,X6)
                            & ? [X7] :
                                ( r1(X6,X7)
                                & ? [X8] :
                                    ( r1(X7,X8)
                                    & ? [X9] :
                                        ( r1(X8,X9)
                                        & ? [X10] :
                                            ( r1(X9,X10)
                                            & ? [X11] :
                                                ( r1(X10,X11)
                                                & ? [X12] :
                                                    ( r1(X11,X12)
                                                    & ? [X13] :
                                                        ( r1(X12,X13)
                                                        & ? [X14] :
                                                            ( r1(X13,X14)
                                                            & ? [X15] :
                                                                ( r1(X14,X15)
                                                                & ? [X16] :
                                                                    ( r1(X15,X16)
                                                                    & ? [X17] :
                                                                        ( r1(X16,X17)
                                                                        & ? [X18] :
                                                                            ( r1(X17,X18)
                                                                            & ? [X19] :
                                                                                ( r1(X18,X19)
                                                                                & ? [X20] :
                                                                                    ( r1(X19,X20)
                                                                                    & ? [X21] :
                                                                                        ( r1(X20,X21)
                                                                                        & ? [X22] :
                                                                                            ( r1(X21,X22)
                                                                                            & ? [X23] :
                                                                                                ( r1(X22,X23)
                                                                                                & ? [X24] :
                                                                                                    ( r1(X23,X24)
                                                                                                    & ? [X25] :
                                                                                                        ( r1(X24,X25)
                                                                                                        & ? [X26] :
                                                                                                            ( r1(X25,X26)
                                                                                                            & ? [X27] :
                                                                                                                ( r1(X26,X27)
                                                                                                                & ? [X28] :
                                                                                                                    ( r1(X27,X28)
                                                                                                                    & ? [X29] : r1(X28,X29)
                                                                                                                    & ! [X30] :
                                                                                                                        ( ~ r1(X28,X30)
                                                                                                                        | ~ ren1(X30) ) )
                                                                                                                & ! [X31] :
                                                                                                                    ( ~ r1(X27,X31)
                                                                                                                    | ~ ren2(X31) ) )
                                                                                                            & ! [X32] :
                                                                                                                ( ~ r1(X26,X32)
                                                                                                                | ~ ren3(X32) ) )
                                                                                                        & ! [X33] :
                                                                                                            ( ~ r1(X25,X33)
                                                                                                            | ~ ren4(X33) ) )
                                                                                                    & ! [X34] :
                                                                                                        ( ~ r1(X24,X34)
                                                                                                        | ~ ren5(X34) ) )
                                                                                                & ! [X35] :
                                                                                                    ( ~ r1(X23,X35)
                                                                                                    | ~ ren6(X35) ) )
                                                                                            & ! [X36] :
                                                                                                ( ~ r1(X22,X36)
                                                                                                | ~ ren7(X36) ) )
                                                                                        & ! [X37] :
                                                                                            ( ~ r1(X21,X37)
                                                                                            | ~ ren8(X37) ) )
                                                                                    & ! [X38] :
                                                                                        ( ~ r1(X20,X38)
                                                                                        | ~ ren9(X38) ) )
                                                                                & ! [X39] :
                                                                                    ( ~ r1(X19,X39)
                                                                                    | ~ ren10(X39) ) )
                                                                            & ! [X40] :
                                                                                ( ~ r1(X18,X40)
                                                                                | ~ ren11(X40) ) )
                                                                        & ! [X41] :
                                                                            ( ~ r1(X17,X41)
                                                                            | ~ ren12(X41) ) )
                                                                    & ! [X42] :
                                                                        ( ~ r1(X16,X42)
                                                                        | ~ ren13(X42) ) )
                                                                & ! [X43] :
                                                                    ( ~ r1(X15,X43)
                                                                    | ~ ren14(X43) ) )
                                                            & ! [X44] :
                                                                ( ~ r1(X14,X44)
                                                                | ~ ren15(X44) ) )
                                                        & ! [X45] :
                                                            ( ~ r1(X13,X45)
                                                            | ~ ren16(X45) ) )
                                                    & ! [X46] :
                                                        ( ~ r1(X12,X46)
                                                        | ~ ren17(X46) ) )
                                                & ! [X47] :
                                                    ( ~ r1(X11,X47)
                                                    | ~ ren18(X47) ) )
                                            & ! [X48] :
                                                ( ~ r1(X10,X48)
                                                | ~ ren19(X48) ) )
                                        & ! [X49] :
                                            ( ~ r1(X9,X49)
                                            | ~ ren20(X49) ) )
                                    & ! [X50] :
                                        ( ~ r1(X8,X50)
                                        | ~ ren21(X50) ) )
                                & ! [X51] :
                                    ( ~ r1(X7,X51)
                                    | ~ ren22(X51) ) )
                            & ! [X52] :
                                ( ~ r1(X6,X52)
                                | ~ ren23(X52) ) )
                        & ! [X53] :
                            ( ~ r1(X5,X53)
                            | ~ ren24(X53) ) )
                    & ! [X54] :
                        ( ~ r1(X4,X54)
                        | ~ ren25(X54) ) )
                & ! [X55] :
                    ( ~ r1(X3,X55)
                    | ~ ren26(X55) ) )
            & ! [X56] :
                ( ~ r1(X2,X56)
                | ~ ren27(X56) ) )
        & ! [X57] :
            ( ~ r1(X1,X57)
            | ~ ren28(X57) )
        & ? [X58] :
            ( r1(X1,X58)
            & ~ p30(X58) )
        & ? [X59] :
            ( r1(X1,X59)
            & ( p28(X59)
              | p29(X59) )
            & ( ~ p29(X59)
              | ~ p28(X59) )
            & ( p27(X59)
              | p28(X59) )
            & ( ~ p28(X59)
              | ~ p27(X59) )
            & ( p26(X59)
              | p27(X59) )
            & ( ~ p27(X59)
              | ~ p26(X59) )
            & ( p25(X59)
              | p26(X59) )
            & ( ~ p26(X59)
              | ~ p25(X59) )
            & ( p24(X59)
              | p25(X59) )
            & ( ~ p25(X59)
              | ~ p24(X59) )
            & ( p23(X59)
              | p24(X59) )
            & ( ~ p24(X59)
              | ~ p23(X59) )
            & ( p22(X59)
              | p23(X59) )
            & ( ~ p23(X59)
              | ~ p22(X59) )
            & ( p21(X59)
              | p22(X59) )
            & ( ~ p22(X59)
              | ~ p21(X59) )
            & ( p20(X59)
              | p21(X59) )
            & ( ~ p21(X59)
              | ~ p20(X59) )
            & ( p19(X59)
              | p20(X59) )
            & ( ~ p20(X59)
              | ~ p19(X59) )
            & ( p18(X59)
              | p19(X59) )
            & ( ~ p19(X59)
              | ~ p18(X59) )
            & ( p17(X59)
              | p18(X59) )
            & ( ~ p18(X59)
              | ~ p17(X59) )
            & ( p16(X59)
              | p17(X59) )
            & ( ~ p17(X59)
              | ~ p16(X59) )
            & ( p15(X59)
              | p16(X59) )
            & ( ~ p16(X59)
              | ~ p15(X59) )
            & ( p14(X59)
              | p15(X59) )
            & ( ~ p15(X59)
              | ~ p14(X59) )
            & ( p13(X59)
              | p14(X59) )
            & ( ~ p14(X59)
              | ~ p13(X59) )
            & ( p12(X59)
              | p13(X59) )
            & ( ~ p13(X59)
              | ~ p12(X59) )
            & ( p11(X59)
              | p12(X59) )
            & ( ~ p12(X59)
              | ~ p11(X59) )
            & ( p10(X59)
              | p11(X59) )
            & ( ~ p11(X59)
              | ~ p10(X59) )
            & ( p9(X59)
              | p10(X59) )
            & ( ~ p10(X59)
              | ~ p9(X59) )
            & ( p8(X59)
              | p9(X59) )
            & ( ~ p9(X59)
              | ~ p8(X59) )
            & ( p7(X59)
              | p8(X59) )
            & ( ~ p8(X59)
              | ~ p7(X59) )
            & ( p6(X59)
              | p7(X59) )
            & ( ~ p7(X59)
              | ~ p6(X59) )
            & ( p5(X59)
              | p6(X59) )
            & ( ~ p6(X59)
              | ~ p5(X59) )
            & ( p4(X59)
              | p5(X59) )
            & ( ~ p5(X59)
              | ~ p4(X59) )
            & ( p3(X59)
              | p4(X59) )
            & ( ~ p4(X59)
              | ~ p3(X59) )
            & ( p2(X59)
              | p3(X59) )
            & ( ~ p3(X59)
              | ~ p2(X59) )
            & ( p1(X59)
              | p2(X59) )
            & ( ~ p2(X59)
              | ~ p1(X59) ) ) )
      | ren29(X1) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[ren29_defn]) ).

% FOF SKOLEM INFERENCE. WIP!!
fof(ren29_skol,plain,
    ! [X1] :
      ( ( r1(X1,skf1(X1))
        & r1(skf1(X1),skf2(X1))
        & r1(skf2(X1),skf3(X1))
        & r1(skf3(X1),skf4(X1))
        & r1(skf4(X1),skf5(X1))
        & r1(skf5(X1),skf6(X1))
        & r1(skf6(X1),skf7(X1))
        & r1(skf7(X1),skf8(X1))
        & r1(skf8(X1),skf9(X1))
        & r1(skf9(X1),skf10(X1))
        & r1(skf10(X1),skf11(X1))
        & r1(skf11(X1),skf12(X1))
        & r1(skf12(X1),skf13(X1))
        & r1(skf13(X1),skf14(X1))
        & r1(skf14(X1),skf15(X1))
        & r1(skf15(X1),skf16(X1))
        & r1(skf16(X1),skf17(X1))
        & r1(skf17(X1),skf18(X1))
        & r1(skf18(X1),skf19(X1))
        & r1(skf19(X1),skf20(X1))
        & r1(skf20(X1),skf21(X1))
        & r1(skf21(X1),skf22(X1))
        & r1(skf22(X1),skf23(X1))
        & r1(skf23(X1),skf24(X1))
        & r1(skf24(X1),skf25(X1))
        & r1(skf25(X1),skf26(X1))
        & r1(skf26(X1),skf27(X1))
        & r1(skf27(X1),skf28(X1))
        & ! [X30] :
            ( ~ r1(skf27(X1),X30)
            | ~ ren1(X30) )
        & ! [X31] :
            ( ~ r1(skf26(X1),X31)
            | ~ ren2(X31) )
        & ! [X32] :
            ( ~ r1(skf25(X1),X32)
            | ~ ren3(X32) )
        & ! [X33] :
            ( ~ r1(skf24(X1),X33)
            | ~ ren4(X33) )
        & ! [X34] :
            ( ~ r1(skf23(X1),X34)
            | ~ ren5(X34) )
        & ! [X35] :
            ( ~ r1(skf22(X1),X35)
            | ~ ren6(X35) )
        & ! [X36] :
            ( ~ r1(skf21(X1),X36)
            | ~ ren7(X36) )
        & ! [X37] :
            ( ~ r1(skf20(X1),X37)
            | ~ ren8(X37) )
        & ! [X38] :
            ( ~ r1(skf19(X1),X38)
            | ~ ren9(X38) )
        & ! [X39] :
            ( ~ r1(skf18(X1),X39)
            | ~ ren10(X39) )
        & ! [X40] :
            ( ~ r1(skf17(X1),X40)
            | ~ ren11(X40) )
        & ! [X41] :
            ( ~ r1(skf16(X1),X41)
            | ~ ren12(X41) )
        & ! [X42] :
            ( ~ r1(skf15(X1),X42)
            | ~ ren13(X42) )
        & ! [X43] :
            ( ~ r1(skf14(X1),X43)
            | ~ ren14(X43) )
        & ! [X44] :
            ( ~ r1(skf13(X1),X44)
            | ~ ren15(X44) )
        & ! [X45] :
            ( ~ r1(skf12(X1),X45)
            | ~ ren16(X45) )
        & ! [X46] :
            ( ~ r1(skf11(X1),X46)
            | ~ ren17(X46) )
        & ! [X47] :
            ( ~ r1(skf10(X1),X47)
            | ~ ren18(X47) )
        & ! [X48] :
            ( ~ r1(skf9(X1),X48)
            | ~ ren19(X48) )
        & ! [X49] :
            ( ~ r1(skf8(X1),X49)
            | ~ ren20(X49) )
        & ! [X50] :
            ( ~ r1(skf7(X1),X50)
            | ~ ren21(X50) )
        & ! [X51] :
            ( ~ r1(skf6(X1),X51)
            | ~ ren22(X51) )
        & ! [X52] :
            ( ~ r1(skf5(X1),X52)
            | ~ ren23(X52) )
        & ! [X53] :
            ( ~ r1(skf4(X1),X53)
            | ~ ren24(X53) )
        & ! [X54] :
            ( ~ r1(skf3(X1),X54)
            | ~ ren25(X54) )
        & ! [X55] :
            ( ~ r1(skf2(X1),X55)
            | ~ ren26(X55) )
        & ! [X56] :
            ( ~ r1(skf1(X1),X56)
            | ~ ren27(X56) )
        & ! [X57] :
            ( ~ r1(X1,X57)
            | ~ ren28(X57) )
        & r1(X1,skf29(X1))
        & ~ p30(skf29(X1))
        & r1(X1,skf30(X1))
        & ( p28(skf30(X1))
          | p29(skf30(X1)) )
        & ( ~ p29(skf30(X1))
          | ~ p28(skf30(X1)) )
        & ( p27(skf30(X1))
          | p28(skf30(X1)) )
        & ( ~ p28(skf30(X1))
          | ~ p27(skf30(X1)) )
        & ( p26(skf30(X1))
          | p27(skf30(X1)) )
        & ( ~ p27(skf30(X1))
          | ~ p26(skf30(X1)) )
        & ( p25(skf30(X1))
          | p26(skf30(X1)) )
        & ( ~ p26(skf30(X1))
          | ~ p25(skf30(X1)) )
        & ( p24(skf30(X1))
          | p25(skf30(X1)) )
        & ( ~ p25(skf30(X1))
          | ~ p24(skf30(X1)) )
        & ( p23(skf30(X1))
          | p24(skf30(X1)) )
        & ( ~ p24(skf30(X1))
          | ~ p23(skf30(X1)) )
        & ( p22(skf30(X1))
          | p23(skf30(X1)) )
        & ( ~ p23(skf30(X1))
          | ~ p22(skf30(X1)) )
        & ( p21(skf30(X1))
          | p22(skf30(X1)) )
        & ( ~ p22(skf30(X1))
          | ~ p21(skf30(X1)) )
        & ( p20(skf30(X1))
          | p21(skf30(X1)) )
        & ( ~ p21(skf30(X1))
          | ~ p20(skf30(X1)) )
        & ( p19(skf30(X1))
          | p20(skf30(X1)) )
        & ( ~ p20(skf30(X1))
          | ~ p19(skf30(X1)) )
        & ( p18(skf30(X1))
          | p19(skf30(X1)) )
        & ( ~ p19(skf30(X1))
          | ~ p18(skf30(X1)) )
        & ( p17(skf30(X1))
          | p18(skf30(X1)) )
        & ( ~ p18(skf30(X1))
          | ~ p17(skf30(X1)) )
        & ( p16(skf30(X1))
          | p17(skf30(X1)) )
        & ( ~ p17(skf30(X1))
          | ~ p16(skf30(X1)) )
        & ( p15(skf30(X1))
          | p16(skf30(X1)) )
        & ( ~ p16(skf30(X1))
          | ~ p15(skf30(X1)) )
        & ( p14(skf30(X1))
          | p15(skf30(X1)) )
        & ( ~ p15(skf30(X1))
          | ~ p14(skf30(X1)) )
        & ( p13(skf30(X1))
          | p14(skf30(X1)) )
        & ( ~ p14(skf30(X1))
          | ~ p13(skf30(X1)) )
        & ( p12(skf30(X1))
          | p13(skf30(X1)) )
        & ( ~ p13(skf30(X1))
          | ~ p12(skf30(X1)) )
        & ( p11(skf30(X1))
          | p12(skf30(X1)) )
        & ( ~ p12(skf30(X1))
          | ~ p11(skf30(X1)) )
        & ( p10(skf30(X1))
          | p11(skf30(X1)) )
        & ( ~ p11(skf30(X1))
          | ~ p10(skf30(X1)) )
        & ( p9(skf30(X1))
          | p10(skf30(X1)) )
        & ( ~ p10(skf30(X1))
          | ~ p9(skf30(X1)) )
        & ( p8(skf30(X1))
          | p9(skf30(X1)) )
        & ( ~ p9(skf30(X1))
          | ~ p8(skf30(X1)) )
        & ( p7(skf30(X1))
          | p8(skf30(X1)) )
        & ( ~ p8(skf30(X1))
          | ~ p7(skf30(X1)) )
        & ( p6(skf30(X1))
          | p7(skf30(X1)) )
        & ( ~ p7(skf30(X1))
          | ~ p6(skf30(X1)) )
        & ( p5(skf30(X1))
          | p6(skf30(X1)) )
        & ( ~ p6(skf30(X1))
          | ~ p5(skf30(X1)) )
        & ( p4(skf30(X1))
          | p5(skf30(X1)) )
        & ( ~ p5(skf30(X1))
          | ~ p4(skf30(X1)) )
        & ( p3(skf30(X1))
          | p4(skf30(X1)) )
        & ( ~ p4(skf30(X1))
          | ~ p3(skf30(X1)) )
        & ( p2(skf30(X1))
          | p3(skf30(X1)) )
        & ( ~ p3(skf30(X1))
          | ~ p2(skf30(X1)) )
        & ( p1(skf30(X1))
          | p2(skf30(X1)) )
        & ( ~ p2(skf30(X1))
          | ~ p1(skf30(X1)) ) )
      | ren29(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[skf1,skf2,skf3,skf4,skf5,skf6,skf7,skf8,skf9,skf10,skf11,skf12,skf13,skf14,skf15,skf16,skf17,skf18,skf19,skf20,skf21,skf22,skf23,skf24,skf25,skf26,skf27,skf28,skf29,skf30]),skolemize(X2,skf1(X1)),skolemize(X3,skf2(X1)),skolemize(X4,skf3(X1)),skolemize(X5,skf4(X1)),skolemize(X6,skf5(X1)),skolemize(X7,skf6(X1)),skolemize(X8,skf7(X1)),skolemize(X9,skf8(X1)),skolemize(X10,skf9(X1)),skolemize(X11,skf10(X1)),skolemize(X12,skf11(X1)),skolemize(X13,skf12(X1)),skolemize(X14,skf13(X1)),skolemize(X15,skf14(X1)),skolemize(X16,skf15(X1)),skolemize(X17,skf16(X1)),skolemize(X18,skf17(X1)),skolemize(X19,skf18(X1)),skolemize(X20,skf19(X1)),skolemize(X21,skf20(X1)),skolemize(X22,skf21(X1)),skolemize(X23,skf22(X1)),skolemize(X24,skf23(X1)),skolemize(X25,skf24(X1)),skolemize(X26,skf25(X1)),skolemize(X27,skf26(X1)),skolemize(X28,skf27(X1)),skolemize(X29,skf28(X1)),skolemize(X58,skf29(X1)),skolemize(X59,skf30(X1))],[ren29_elimImpEquivPushNegMiniScope]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_172,plain,
    ( p1(skf30(X0))
    | p2(skf30(X0))
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% FILE RECORD
fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('theBenchmark.p',reflexivity) ).

% FOF SIMPLE INFERENCE
fof(reflexivity_elimTB,axiom,
    ! [X1] : r1(X1,X1),
    inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity])]) ).

% FOF SIMPLE INFERENCE
fof(reflexivity_elimImpEquivPushNegMiniScope,axiom,
    ! [X1] : r1(X1,X1),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[reflexivity_elimTB]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_1,plain,
    r1(X0,X0),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[reflexivity_elimImpEquivPushNegMiniScope])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_114,plain,
    ( ~ r1(X0,X1)
    | ~ ren28(X1)
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_180,plain,
    ( ~ ren28(X0)
    | ren29(X0) ),
    inference(resolution,[status(thm)],[c_1,c_114]) ).

% FOF INTRODUCE RENAMING
fof(ren1_defn,definition,
    ! [X34] :
      ( ren1(X34)
     <= ( ( p29(X34)
          & ~ p28(X34) )
        | ( ~ p29(X34)
          & p28(X34) ) ) ),
    introduced(definition,[new_symbols(definition,[ren1])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren2_defn,definition,
    ! [X35] :
      ( ren2(X35)
     <= ( ( p28(X35)
          & ~ p27(X35) )
        | ( ~ p28(X35)
          & p27(X35) ) ) ),
    introduced(definition,[new_symbols(definition,[ren2])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren3_defn,definition,
    ! [X36] :
      ( ren3(X36)
     <= ( ( p27(X36)
          & ~ p26(X36) )
        | ( ~ p27(X36)
          & p26(X36) ) ) ),
    introduced(definition,[new_symbols(definition,[ren3])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren4_defn,definition,
    ! [X37] :
      ( ren4(X37)
     <= ( ( p26(X37)
          & ~ p25(X37) )
        | ( ~ p26(X37)
          & p25(X37) ) ) ),
    introduced(definition,[new_symbols(definition,[ren4])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren5_defn,definition,
    ! [X38] :
      ( ren5(X38)
     <= ( ( p25(X38)
          & ~ p24(X38) )
        | ( ~ p25(X38)
          & p24(X38) ) ) ),
    introduced(definition,[new_symbols(definition,[ren5])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren6_defn,definition,
    ! [X39] :
      ( ren6(X39)
     <= ( ( p24(X39)
          & ~ p23(X39) )
        | ( ~ p24(X39)
          & p23(X39) ) ) ),
    introduced(definition,[new_symbols(definition,[ren6])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren7_defn,definition,
    ! [X40] :
      ( ren7(X40)
     <= ( ( p23(X40)
          & ~ p22(X40) )
        | ( ~ p23(X40)
          & p22(X40) ) ) ),
    introduced(definition,[new_symbols(definition,[ren7])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren8_defn,definition,
    ! [X41] :
      ( ren8(X41)
     <= ( ( p22(X41)
          & ~ p21(X41) )
        | ( ~ p22(X41)
          & p21(X41) ) ) ),
    introduced(definition,[new_symbols(definition,[ren8])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren9_defn,definition,
    ! [X42] :
      ( ren9(X42)
     <= ( ( p21(X42)
          & ~ p20(X42) )
        | ( ~ p21(X42)
          & p20(X42) ) ) ),
    introduced(definition,[new_symbols(definition,[ren9])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren10_defn,definition,
    ! [X43] :
      ( ren10(X43)
     <= ( ( p20(X43)
          & ~ p19(X43) )
        | ( ~ p20(X43)
          & p19(X43) ) ) ),
    introduced(definition,[new_symbols(definition,[ren10])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren11_defn,definition,
    ! [X44] :
      ( ren11(X44)
     <= ( ( p19(X44)
          & ~ p18(X44) )
        | ( ~ p19(X44)
          & p18(X44) ) ) ),
    introduced(definition,[new_symbols(definition,[ren11])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren12_defn,definition,
    ! [X45] :
      ( ren12(X45)
     <= ( ( p18(X45)
          & ~ p17(X45) )
        | ( ~ p18(X45)
          & p17(X45) ) ) ),
    introduced(definition,[new_symbols(definition,[ren12])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren13_defn,definition,
    ! [X46] :
      ( ren13(X46)
     <= ( ( p17(X46)
          & ~ p16(X46) )
        | ( ~ p17(X46)
          & p16(X46) ) ) ),
    introduced(definition,[new_symbols(definition,[ren13])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren14_defn,definition,
    ! [X47] :
      ( ren14(X47)
     <= ( ( p16(X47)
          & ~ p15(X47) )
        | ( ~ p16(X47)
          & p15(X47) ) ) ),
    introduced(definition,[new_symbols(definition,[ren14])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren15_defn,definition,
    ! [X48] :
      ( ren15(X48)
     <= ( ( p15(X48)
          & ~ p14(X48) )
        | ( ~ p15(X48)
          & p14(X48) ) ) ),
    introduced(definition,[new_symbols(definition,[ren15])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren16_defn,definition,
    ! [X49] :
      ( ren16(X49)
     <= ( ( p14(X49)
          & ~ p13(X49) )
        | ( ~ p14(X49)
          & p13(X49) ) ) ),
    introduced(definition,[new_symbols(definition,[ren16])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren17_defn,definition,
    ! [X50] :
      ( ren17(X50)
     <= ( ( p13(X50)
          & ~ p12(X50) )
        | ( ~ p13(X50)
          & p12(X50) ) ) ),
    introduced(definition,[new_symbols(definition,[ren17])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren18_defn,definition,
    ! [X51] :
      ( ren18(X51)
     <= ( ( p12(X51)
          & ~ p11(X51) )
        | ( ~ p12(X51)
          & p11(X51) ) ) ),
    introduced(definition,[new_symbols(definition,[ren18])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren19_defn,definition,
    ! [X52] :
      ( ren19(X52)
     <= ( ( p11(X52)
          & ~ p10(X52) )
        | ( ~ p11(X52)
          & p10(X52) ) ) ),
    introduced(definition,[new_symbols(definition,[ren19])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren20_defn,definition,
    ! [X53] :
      ( ren20(X53)
     <= ( ( p10(X53)
          & ~ p9(X53) )
        | ( ~ p10(X53)
          & p9(X53) ) ) ),
    introduced(definition,[new_symbols(definition,[ren20])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren21_defn,definition,
    ! [X54] :
      ( ren21(X54)
     <= ( ( p9(X54)
          & ~ p8(X54) )
        | ( ~ p9(X54)
          & p8(X54) ) ) ),
    introduced(definition,[new_symbols(definition,[ren21])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren22_defn,definition,
    ! [X55] :
      ( ren22(X55)
     <= ( ( p8(X55)
          & ~ p7(X55) )
        | ( ~ p8(X55)
          & p7(X55) ) ) ),
    introduced(definition,[new_symbols(definition,[ren22])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren23_defn,definition,
    ! [X56] :
      ( ren23(X56)
     <= ( ( p7(X56)
          & ~ p6(X56) )
        | ( ~ p7(X56)
          & p6(X56) ) ) ),
    introduced(definition,[new_symbols(definition,[ren23])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren24_defn,definition,
    ! [X57] :
      ( ren24(X57)
     <= ( ( p6(X57)
          & ~ p5(X57) )
        | ( ~ p6(X57)
          & p5(X57) ) ) ),
    introduced(definition,[new_symbols(definition,[ren24])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren25_defn,definition,
    ! [X58] :
      ( ren25(X58)
     <= ( ( p5(X58)
          & ~ p4(X58) )
        | ( ~ p5(X58)
          & p4(X58) ) ) ),
    introduced(definition,[new_symbols(definition,[ren25])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren26_defn,definition,
    ! [X59] :
      ( ren26(X59)
     <= ( ( p4(X59)
          & ~ p3(X59) )
        | ( ~ p4(X59)
          & p3(X59) ) ) ),
    introduced(definition,[new_symbols(definition,[ren26])],[main_nc_elimTB]) ).

% FOF INTRODUCE RENAMING
fof(ren27_defn,definition,
    ! [X60] :
      ( ren27(X60)
     <= ( ( p3(X60)
          & ~ p2(X60) )
        | ( ~ p3(X60)
          & p2(X60) ) ) ),
    introduced(definition,[new_symbols(definition,[ren27])],[main_nc_elimTB]) ).

% FOF RENAMING INFERENCE
fof(main_nc_renObv,negated_conjecture,
    ? [X1] :
      ~ ( ! [X2] :
            ( ~ r1(X1,X2)
            | ~ p30(X2)
            | ! [X3] :
                ( ~ r1(X2,X3)
                | ~ p1(X3) ) )
        | ! [X4] :
            ( ~ r1(X1,X4)
            | ~ ! [X5] :
                  ( ~ r1(X4,X5)
                  | ~ ren29(X5) ) ) ),
    inference(renaming,[status(esa)],[main_nc_elimTB,ren1_defn,ren2_defn,ren3_defn,ren4_defn,ren5_defn,ren6_defn,ren7_defn,ren8_defn,ren9_defn,ren10_defn,ren11_defn,ren12_defn,ren13_defn,ren14_defn,ren15_defn,ren16_defn,ren17_defn,ren18_defn,ren19_defn,ren20_defn,ren21_defn,ren22_defn,ren23_defn,ren24_defn,ren25_defn,ren26_defn,ren27_defn,ren28_defn,ren29_defn]) ).

% FOF SIMPLE INFERENCE
fof(main_nc_elimImpEquivPushNegMiniScope,negated_conjecture,
    ? [X1] :
      ( ? [X2] :
          ( r1(X1,X2)
          & p30(X2)
          & ? [X3] :
              ( r1(X2,X3)
              & p1(X3) ) )
      & ? [X4] :
          ( r1(X1,X4)
          & ! [X5] :
              ( ~ r1(X4,X5)
              | ~ ren29(X5) ) ) ),
    inference(elimImpEquivPushNegMiniScope,[status(thm)],[main_nc_renObv]) ).

% FOF SKOLEM INFERENCE. WIP!!
fof(main_nc_skol,negated_conjecture,
    ( r1(skc31,skc32)
    & p30(skc32)
    & r1(skc32,skc33)
    & p1(skc33)
    & r1(skc31,skc34)
    & ! [X5] :
        ( ~ r1(skc34,X5)
        | ~ ren29(X5) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[skc31,skc32,skc33,skc34]),skolemize(X1,skc31),skolemize(X2,skc32),skolemize(X3,skc33),skolemize(X4,skc34)],[main_nc_elimImpEquivPushNegMiniScope]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_179,plain,
    ( ~ r1(skc34,X0)
    | ~ ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[main_nc_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_117,plain,
    ( r1(X0,skf30(X0))
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_57,plain,
    ( ~ p2(X0)
    | p1(X0)
    | ren28(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren28_elimImpEquivPushNegMiniScope])]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_173,plain,
    ( ~ p2(skf30(X0))
    | ~ p1(skf30(X0))
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_211,plain,
    ( ~ p2(skf30(X0))
    | ren29(X0)
    | ren29(skf30(X0)) ),
    inference(resolution,[status(thm)],[c_57,c_173,c_180]) ).

% CNF SPASS RESOLUTION.
cnf(c_182,plain,
    ~ ren29(skc34),
    inference(resolution,[status(thm)],[c_1,c_179]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_170,plain,
    ( p2(skf30(X0))
    | p3(skf30(X0))
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_209,plain,
    ( p2(skf30(skc34))
    | p3(skf30(skc34)) ),
    inference(resolution,[status(thm)],[c_170,c_182]) ).

% CNF SPASS RESOLUTION.
cnf(c_212,plain,
    p3(skf30(skc34)),
    inference(resolution,[status(thm)],[c_179,c_117,c_211,c_182,c_209]) ).

% FOF PUSH DISJ SPLITTING.
cnf(c_171,plain,
    ( ~ p3(skf30(X0))
    | ~ p2(skf30(X0))
    | ren29(X0) ),
    inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[ren29_skol])]) ).

% CNF SPASS RESOLUTION.
cnf(c_213,plain,
    ( ~ p3(skf30(skc34))
    | ~ p2(skf30(skc34)) ),
    inference(resolution,[status(thm)],[c_171,c_182]) ).

% CNF SPASS RESOLUTION.
cnf(c_214,plain,
    ~ p2(skf30(skc34)),
    inference(resolution,[status(thm)],[c_212,c_213]) ).

% CNF SPASS RESOLUTION.
cnf(c_215,plain,
    ( ~ ren29(skf30(skc34))
    | ren29(skc34) ),
    inference(resolution,[status(thm)],[c_179,c_117]) ).

% CNF SPASS RESOLUTION.
cnf(c_216,plain,
    ~ ren29(skf30(skc34)),
    inference(resolution,[status(thm)],[c_182,c_215]) ).

% CNF SPASS RESOLUTION.
cnf(c_217,plain,
    $false,
    inference(resolution,[status(thm)],[c_58,c_172,c_180,c_214,c_216,c_182]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 16:25:06 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  
% 0.13/0.37  % Input Clauses:
% 0.13/0.37  % 1:1:1:INP:Top:  -> r1(x0,x0)
% 0.13/0.37  % 2:3:3:INP:TopTopTop: r1(x0,x1),r1(x1,x2) -> r1(x0,x2)
% 0.13/0.37  % 3:3:1:INP:Top: p29(x0) -> p28(x0),ren1(x0)
% 0.13/0.37  % 4:3:1:INP:Top: p28(x0) -> p29(x0),ren1(x0)
% 0.13/0.37  % 5:3:1:INP:Top: p28(x0) -> p27(x0),ren2(x0)
% 0.13/0.37  % 6:3:1:INP:Top: p27(x0) -> p28(x0),ren2(x0)
% 0.13/0.37  % 7:3:1:INP:Top: p27(x0) -> p26(x0),ren3(x0)
% 0.13/0.37  % 8:3:1:INP:Top: p26(x0) -> p27(x0),ren3(x0)
% 0.13/0.37  % 9:3:1:INP:Top: p26(x0) -> p25(x0),ren4(x0)
% 0.13/0.37  % 10:3:1:INP:Top: p25(x0) -> p26(x0),ren4(x0)
% 0.13/0.37  % 11:3:1:INP:Top: p25(x0) -> p24(x0),ren5(x0)
% 0.13/0.37  % 12:3:1:INP:Top: p24(x0) -> p25(x0),ren5(x0)
% 0.13/0.37  % 13:3:1:INP:Top: p24(x0) -> p23(x0),ren6(x0)
% 0.13/0.37  % 14:3:1:INP:Top: p23(x0) -> p24(x0),ren6(x0)
% 0.13/0.37  % 15:3:1:INP:Top: p23(x0) -> p22(x0),ren7(x0)
% 0.13/0.37  % 16:3:1:INP:Top: p22(x0) -> p23(x0),ren7(x0)
% 0.13/0.37  % 17:3:1:INP:Top: p22(x0) -> p21(x0),ren8(x0)
% 0.13/0.37  % 18:3:1:INP:Top: p21(x0) -> p22(x0),ren8(x0)
% 0.13/0.37  % 19:3:1:INP:Top: p21(x0) -> p20(x0),ren9(x0)
% 0.13/0.37  % 20:3:1:INP:Top: p20(x0) -> p21(x0),ren9(x0)
% 0.13/0.37  % 21:3:1:INP:Top: p20(x0) -> p19(x0),ren10(x0)
% 0.13/0.37  % 22:3:1:INP:Top: p19(x0) -> p20(x0),ren10(x0)
% 0.13/0.37  % 23:3:1:INP:Top: p19(x0) -> p18(x0),ren11(x0)
% 0.13/0.37  % 24:3:1:INP:Top: p18(x0) -> p19(x0),ren11(x0)
% 0.13/0.37  % 25:3:1:INP:Top: p18(x0) -> p17(x0),ren12(x0)
% 0.13/0.37  % 26:3:1:INP:Top: p17(x0) -> p18(x0),ren12(x0)
% 0.13/0.37  % 27:3:1:INP:Top: p17(x0) -> p16(x0),ren13(x0)
% 0.13/0.37  % 28:3:1:INP:Top: p16(x0) -> p17(x0),ren13(x0)
% 0.13/0.37  % 29:3:1:INP:Top: p16(x0) -> p15(x0),ren14(x0)
% 0.13/0.37  % 30:3:1:INP:Top: p15(x0) -> p16(x0),ren14(x0)
% 0.13/0.37  % 31:3:1:INP:Top: p15(x0) -> p14(x0),ren15(x0)
% 0.13/0.37  % 32:3:1:INP:Top: p14(x0) -> p15(x0),ren15(x0)
% 0.13/0.37  % 33:3:1:INP:Top: p14(x0) -> p13(x0),ren16(x0)
% 0.13/0.37  % 34:3:1:INP:Top: p13(x0) -> p14(x0),ren16(x0)
% 0.13/0.37  % 35:3:1:INP:Top: p13(x0) -> p12(x0),ren17(x0)
% 0.13/0.37  % 36:3:1:INP:Top: p12(x0) -> p13(x0),ren17(x0)
% 0.13/0.37  % 37:3:1:INP:Top: p12(x0) -> p11(x0),ren18(x0)
% 0.13/0.37  % 38:3:1:INP:Top: p11(x0) -> p12(x0),ren18(x0)
% 0.13/0.37  % 39:3:1:INP:Top: p11(x0) -> p10(x0),ren19(x0)
% 0.13/0.37  % 40:3:1:INP:Top: p10(x0) -> p11(x0),ren19(x0)
% 0.13/0.37  % 41:3:1:INP:Top: p10(x0) -> p9(x0),ren20(x0)
% 0.13/0.37  % 42:3:1:INP:Top: p9(x0) -> p10(x0),ren20(x0)
% 0.13/0.37  % 43:3:1:INP:Top: p9(x0) -> p8(x0),ren21(x0)
% 0.13/0.37  % 44:3:1:INP:Top: p8(x0) -> p9(x0),ren21(x0)
% 0.13/0.37  % 45:3:1:INP:Top: p8(x0) -> p7(x0),ren22(x0)
% 0.13/0.37  % 46:3:1:INP:Top: p7(x0) -> p8(x0),ren22(x0)
% 0.13/0.37  % 47:3:1:INP:Top: p7(x0) -> p6(x0),ren23(x0)
% 0.13/0.37  % 48:3:1:INP:Top: p6(x0) -> p7(x0),ren23(x0)
% 0.13/0.37  % 49:3:1:INP:Top: p6(x0) -> p5(x0),ren24(x0)
% 0.13/0.37  % 50:3:1:INP:Top: p5(x0) -> p6(x0),ren24(x0)
% 0.13/0.37  % 51:3:1:INP:Top: p5(x0) -> p4(x0),ren25(x0)
% 0.13/0.37  % 52:3:1:INP:Top: p4(x0) -> p5(x0),ren25(x0)
% 0.13/0.37  % 53:3:1:INP:Top: p4(x0) -> p3(x0),ren26(x0)
% 0.13/0.37  % 54:3:1:INP:Top: p3(x0) -> p4(x0),ren26(x0)
% 0.13/0.37  % 55:3:1:INP:Top: p3(x0) -> p2(x0),ren27(x0)
% 0.13/0.37  % 56:3:1:INP:Top: p2(x0) -> p3(x0),ren27(x0)
% 0.13/0.37  % 57:3:1:INP:Top: p2(x0) -> p1(x0),ren28(x0)
% 0.13/0.37  % 58:3:1:INP:Top: p1(x0) -> p2(x0),ren28(x0)
% 0.13/0.37  % 59:2:1:INP:Top:  -> r1(x0,skf1(x0)),ren29(x0)
% 0.13/0.37  % 60:2:1:INP:Top:  -> r1(skf1(x0),skf2(x0)),ren29(x0)
% 0.13/0.37  % 61:2:1:INP:Top:  -> r1(skf2(x0),skf3(x0)),ren29(x0)
% 0.13/0.37  % 62:2:1:INP:Top:  -> r1(skf3(x0),skf4(x0)),ren29(x0)
% 0.13/0.37  % 63:2:1:INP:Top:  -> r1(skf4(x0),skf5(x0)),ren29(x0)
% 0.13/0.37  % 64:2:1:INP:Top:  -> r1(skf5(x0),skf6(x0)),ren29(x0)
% 0.13/0.37  % 65:2:1:INP:Top:  -> r1(skf6(x0),skf7(x0)),ren29(x0)
% 0.13/0.37  % 66:2:1:INP:Top:  -> r1(skf7(x0),skf8(x0)),ren29(x0)
% 0.13/0.37  % 67:2:1:INP:Top:  -> r1(skf8(x0),skf9(x0)),ren29(x0)
% 0.13/0.37  % 68:2:1:INP:Top:  -> r1(skf9(x0),skf10(x0)),ren29(x0)
% 0.13/0.37  % 69:2:1:INP:Top:  -> r1(skf10(x0),skf11(x0)),ren29(x0)
% 0.13/0.37  % 70:2:1:INP:Top:  -> r1(skf11(x0),skf12(x0)),ren29(x0)
% 0.13/0.37  % 71:2:1:INP:Top:  -> r1(skf12(x0),skf13(x0)),ren29(x0)
% 0.13/0.37  % 72:2:1:INP:Top:  -> r1(skf13(x0),skf14(x0)),ren29(x0)
% 0.13/0.37  % 73:2:1:INP:Top:  -> r1(skf14(x0),skf15(x0)),ren29(x0)
% 0.13/0.37  % 74:2:1:INP:Top:  -> r1(skf15(x0),skf16(x0)),ren29(x0)
% 0.13/0.37  % 75:2:1:INP:Top:  -> r1(skf16(x0),skf17(x0)),ren29(x0)
% 0.13/0.37  % 76:2:1:INP:Top:  -> r1(skf17(x0),skf18(x0)),ren29(x0)
% 0.13/0.37  % 77:2:1:INP:Top:  -> r1(skf18(x0),skf19(x0)),ren29(x0)
% 0.13/0.37  % 78:2:1:INP:Top:  -> r1(skf19(x0),skf20(x0)),ren29(x0)
% 0.13/0.37  % 79:2:1:INP:Top:  -> r1(skf20(x0),skf21(x0)),ren29(x0)
% 0.13/0.37  % 80:2:1:INP:Top:  -> r1(skf21(x0),skf22(x0)),ren29(x0)
% 0.13/0.37  % 81:2:1:INP:Top:  -> r1(skf22(x0),skf23(x0)),ren29(x0)
% 0.13/0.37  % 82:2:1:INP:Top:  -> r1(skf23(x0),skf24(x0)),ren29(x0)
% 0.13/0.37  % 83:2:1:INP:Top:  -> r1(skf24(x0),skf25(x0)),ren29(x0)
% 0.13/0.37  % 84:2:1:INP:Top:  -> r1(skf25(x0),skf26(x0)),ren29(x0)
% 0.13/0.37  % 85:2:1:INP:Top:  -> r1(skf26(x0),skf27(x0)),ren29(x0)
% 0.13/0.37  % 86:2:1:INP:Top:  -> r1(skf27(x0),skf28(x0)),ren29(x0)
% 0.13/0.37  % 87:3:2:INP:TopTop: r1(skf27(x0),x1),ren1(x1) -> ren29(x0)
% 0.13/0.37  % 88:3:2:INP:TopTop: r1(skf26(x0),x1),ren2(x1) -> ren29(x0)
% 0.13/0.37  % 89:3:2:INP:TopTop: r1(skf25(x0),x1),ren3(x1) -> ren29(x0)
% 0.13/0.37  % 90:3:2:INP:TopTop: r1(skf24(x0),x1),ren4(x1) -> ren29(x0)
% 0.13/0.37  % 91:3:2:INP:TopTop: r1(skf23(x0),x1),ren5(x1) -> ren29(x0)
% 0.13/0.37  % 92:3:2:INP:TopTop: r1(skf22(x0),x1),ren6(x1) -> ren29(x0)
% 0.13/0.37  % 93:3:2:INP:TopTop: r1(skf21(x0),x1),ren7(x1) -> ren29(x0)
% 0.13/0.37  % 94:3:2:INP:TopTop: r1(skf20(x0),x1),ren8(x1) -> ren29(x0)
% 0.13/0.37  % 95:3:2:INP:TopTop: r1(skf19(x0),x1),ren9(x1) -> ren29(x0)
% 0.13/0.37  % 96:3:2:INP:TopTop: r1(skf18(x0),x1),ren10(x1) -> ren29(x0)
% 0.13/0.37  % 97:3:2:INP:TopTop: r1(skf17(x0),x1),ren11(x1) -> ren29(x0)
% 0.13/0.37  % 98:3:2:INP:TopTop: r1(skf16(x0),x1),ren12(x1) -> ren29(x0)
% 0.13/0.37  % 99:3:2:INP:TopTop: r1(skf15(x0),x1),ren13(x1) -> ren29(x0)
% 0.13/0.37  % 100:3:2:INP:TopTop: r1(skf14(x0),x1),ren14(x1) -> ren29(x0)
% 0.13/0.37  % 101:3:2:INP:TopTop: r1(skf13(x0),x1),ren15(x1) -> ren29(x0)
% 0.13/0.37  % 102:3:2:INP:TopTop: r1(skf12(x0),x1),ren16(x1) -> ren29(x0)
% 0.13/0.37  % 103:3:2:INP:TopTop: r1(skf11(x0),x1),ren17(x1) -> ren29(x0)
% 0.13/0.37  % 104:3:2:INP:TopTop: r1(skf10(x0),x1),ren18(x1) -> ren29(x0)
% 0.13/0.37  % 105:3:2:INP:TopTop: r1(skf9(x0),x1),ren19(x1) -> ren29(x0)
% 0.13/0.37  % 106:3:2:INP:TopTop: r1(skf8(x0),x1),ren20(x1) -> ren29(x0)
% 0.13/0.37  % 107:3:2:INP:TopTop: r1(skf7(x0),x1),ren21(x1) -> ren29(x0)
% 0.13/0.37  % 108:3:2:INP:TopTop: r1(skf6(x0),x1),ren22(x1) -> ren29(x0)
% 0.13/0.37  % 109:3:2:INP:TopTop: r1(skf5(x0),x1),ren23(x1) -> ren29(x0)
% 0.13/0.37  % 110:3:2:INP:TopTop: r1(skf4(x0),x1),ren24(x1) -> ren29(x0)
% 0.13/0.37  % 111:3:2:INP:TopTop: r1(skf3(x0),x1),ren25(x1) -> ren29(x0)
% 0.13/0.37  % 112:3:2:INP:TopTop: r1(skf2(x0),x1),ren26(x1) -> ren29(x0)
% 0.13/0.37  % 113:3:2:INP:TopTop: r1(skf1(x0),x1),ren27(x1) -> ren29(x0)
% 0.13/0.37  % 114:3:2:INP:TopTop: r1(x0,x1),ren28(x1) -> ren29(x0)
% 0.13/0.37  % 115:2:1:INP:Top:  -> r1(x0,skf29(x0)),ren29(x0)
% 0.13/0.37  % 116:2:1:INP:Top: p30(skf29(x0)) -> ren29(x0)
% 0.13/0.37  % 117:2:1:INP:Top:  -> r1(x0,skf30(x0)),ren29(x0)
% 0.13/0.37  % 118:3:1:INP:Top:  -> p28(skf30(x0)),p29(skf30(x0)),ren29(x0)
% 0.13/0.37  % 119:3:1:INP:Top: p29(skf30(x0)),p28(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 120:3:1:INP:Top:  -> p27(skf30(x0)),p28(skf30(x0)),ren29(x0)
% 0.13/0.37  % 121:3:1:INP:Top: p28(skf30(x0)),p27(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 122:3:1:INP:Top:  -> p26(skf30(x0)),p27(skf30(x0)),ren29(x0)
% 0.13/0.37  % 123:3:1:INP:Top: p27(skf30(x0)),p26(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 124:3:1:INP:Top:  -> p25(skf30(x0)),p26(skf30(x0)),ren29(x0)
% 0.13/0.37  % 125:3:1:INP:Top: p26(skf30(x0)),p25(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 126:3:1:INP:Top:  -> p24(skf30(x0)),p25(skf30(x0)),ren29(x0)
% 0.13/0.37  % 127:3:1:INP:Top: p25(skf30(x0)),p24(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 128:3:1:INP:Top:  -> p23(skf30(x0)),p24(skf30(x0)),ren29(x0)
% 0.13/0.37  % 129:3:1:INP:Top: p24(skf30(x0)),p23(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 130:3:1:INP:Top:  -> p22(skf30(x0)),p23(skf30(x0)),ren29(x0)
% 0.13/0.37  % 131:3:1:INP:Top: p23(skf30(x0)),p22(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 132:3:1:INP:Top:  -> p21(skf30(x0)),p22(skf30(x0)),ren29(x0)
% 0.13/0.37  % 133:3:1:INP:Top: p22(skf30(x0)),p21(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 134:3:1:INP:Top:  -> p20(skf30(x0)),p21(skf30(x0)),ren29(x0)
% 0.13/0.37  % 135:3:1:INP:Top: p21(skf30(x0)),p20(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 136:3:1:INP:Top:  -> p19(skf30(x0)),p20(skf30(x0)),ren29(x0)
% 0.13/0.37  % 137:3:1:INP:Top: p20(skf30(x0)),p19(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 138:3:1:INP:Top:  -> p18(skf30(x0)),p19(skf30(x0)),ren29(x0)
% 0.13/0.37  % 139:3:1:INP:Top: p19(skf30(x0)),p18(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 140:3:1:INP:Top:  -> p17(skf30(x0)),p18(skf30(x0)),ren29(x0)
% 0.13/0.37  % 141:3:1:INP:Top: p18(skf30(x0)),p17(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 142:3:1:INP:Top:  -> p16(skf30(x0)),p17(skf30(x0)),ren29(x0)
% 0.13/0.37  % 143:3:1:INP:Top: p17(skf30(x0)),p16(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 144:3:1:INP:Top:  -> p15(skf30(x0)),p16(skf30(x0)),ren29(x0)
% 0.13/0.37  % 145:3:1:INP:Top: p16(skf30(x0)),p15(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 146:3:1:INP:Top:  -> p14(skf30(x0)),p15(skf30(x0)),ren29(x0)
% 0.13/0.37  % 147:3:1:INP:Top: p15(skf30(x0)),p14(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 148:3:1:INP:Top:  -> p13(skf30(x0)),p14(skf30(x0)),ren29(x0)
% 0.13/0.37  % 149:3:1:INP:Top: p14(skf30(x0)),p13(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 150:3:1:INP:Top:  -> p12(skf30(x0)),p13(skf30(x0)),ren29(x0)
% 0.13/0.37  % 151:3:1:INP:Top: p13(skf30(x0)),p12(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 152:3:1:INP:Top:  -> p11(skf30(x0)),p12(skf30(x0)),ren29(x0)
% 0.13/0.37  % 153:3:1:INP:Top: p12(skf30(x0)),p11(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 154:3:1:INP:Top:  -> p10(skf30(x0)),p11(skf30(x0)),ren29(x0)
% 0.13/0.37  % 155:3:1:INP:Top: p11(skf30(x0)),p10(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 156:3:1:INP:Top:  -> p9(skf30(x0)),p10(skf30(x0)),ren29(x0)
% 0.13/0.37  % 157:3:1:INP:Top: p10(skf30(x0)),p9(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 158:3:1:INP:Top:  -> p8(skf30(x0)),p9(skf30(x0)),ren29(x0)
% 0.13/0.37  % 159:3:1:INP:Top: p9(skf30(x0)),p8(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 160:3:1:INP:Top:  -> p7(skf30(x0)),p8(skf30(x0)),ren29(x0)
% 0.13/0.37  % 161:3:1:INP:Top: p8(skf30(x0)),p7(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 162:3:1:INP:Top:  -> p6(skf30(x0)),p7(skf30(x0)),ren29(x0)
% 0.13/0.37  % 163:3:1:INP:Top: p7(skf30(x0)),p6(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 164:3:1:INP:Top:  -> p5(skf30(x0)),p6(skf30(x0)),ren29(x0)
% 0.13/0.37  % 165:3:1:INP:Top: p6(skf30(x0)),p5(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 166:3:1:INP:Top:  -> p4(skf30(x0)),p5(skf30(x0)),ren29(x0)
% 0.13/0.37  % 167:3:1:INP:Top: p5(skf30(x0)),p4(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 168:3:1:INP:Top:  -> p3(skf30(x0)),p4(skf30(x0)),ren29(x0)
% 0.13/0.37  % 169:3:1:INP:Top: p4(skf30(x0)),p3(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 170:3:1:INP:Top:  -> p2(skf30(x0)),p3(skf30(x0)),ren29(x0)
% 0.13/0.37  % 171:3:1:INP:Top: p3(skf30(x0)),p2(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 172:3:1:INP:Top:  -> p1(skf30(x0)),p2(skf30(x0)),ren29(x0)
% 0.13/0.37  % 173:3:1:INP:Top: p2(skf30(x0)),p1(skf30(x0)) -> ren29(x0)
% 0.13/0.37  % 174:1:0:INP::  -> r1(skc31,skc32)
% 0.13/0.37  % 175:1:0:INP::  -> p30(skc32)
% 0.13/0.37  % 176:1:0:INP::  -> r1(skc32,skc33)
% 0.13/0.37  % 177:1:0:INP::  -> p1(skc33)
% 0.13/0.37  % 178:1:0:INP::  -> r1(skc31,skc34)
% 0.13/0.37  % 179:2:1:INP:Top: r1(skc34,x0),ren29(x0) -> 
% 0.13/0.37  
% 0.13/0.37  % Predicates: r1 p30 p1 p29 p28 p27 p26 p25 p24 p23 p22 p21 p20 p19 p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 ren1 ren2 ren3 ren4 ren5 ren6 ren7 ren8 ren9 ren10 ren11 ren12 ren13 ren14 ren15 ren16 ren17 ren18 ren19 ren20 ren21 ren22 ren23 ren24 ren25 ren26 ren27 ren28 ren29 
% 0.13/0.37  % Fol Constants: skc31 skc32 skc33 skc34 
% 0.13/0.37  % Fol Functions: skf1 skf2 skf3 skf4 skf5 skf6 skf7 skf8 skf9 skf10 skf11 skf12 skf13 skf14 skf15 skf16 skf17 skf18 skf19 skf20 skf21 skf22 skf23 skf24 skf25 skf26 skf27 skf28 skf29 skf30 
% 0.13/0.37  % Problem Properties:
% 0.13/0.37  % This is a full first-order problem without equality. The Problem is non-linear. 
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % Reduced Input Axiom Clauses:
% 0.13/0.37  % 1:1:1:INP:Top:  -> r1(x0,x0)
% 0.13/0.37  % 2:3:3:INP:TopTopTop: r1(x0,x1),r1(x1,x2) -> r1(x0,x2)
% 0.13/0.37  % 3:3:1:INP:Top: p29(x0) -> p28(x0),ren1(x0)
% 0.13/0.37  % 4:3:1:INP:Top: p28(x0) -> p29(x0),ren1(x0)
% 0.13/0.37  % 5:3:1:INP:Top: p28(x0) -> p27(x0),ren2(x0)
% 0.13/0.37  % 6:3:1:INP:Top: p27(x0) -> p28(x0),ren2(x0)
% 0.13/0.37  % 7:3:1:INP:Top: p27(x0) -> p26(x0),ren3(x0)
% 0.13/0.37  % 8:3:1:INP:Top: p26(x0) -> p27(x0),ren3(x0)
% 0.13/0.37  % 9:3:1:INP:Top: p26(x0) -> p25(x0),ren4(x0)
% 0.13/0.37  % 10:3:1:INP:Top: p25(x0) -> p26(x0),ren4(x0)
% 0.13/0.37  % 11:3:1:INP:Top: p25(x0) -> p24(x0),ren5(x0)
% 0.13/0.37  % 12:3:1:INP:Top: p24(x0) -> p25(x0),ren5(x0)
% 0.13/0.37  % 13:3:1:INP:Top: p24(x0) -> p23(x0),ren6(x0)
% 0.13/0.37  % 14:3:1:INP:Top: p23(x0) -> p24(x0),ren6(x0)
% 0.13/0.37  % 15:3:1:INP:Top: p23(x0) -> p22(x0),ren7(x0)
% 0.13/0.37  % 16:3:1:INP:Top: p22(x0) -> p23(x0),ren7(x0)
% 0.13/0.37  % 17:3:1:INP:Top: p22(x0) -> p21(x0),ren8(x0)
% 0.13/0.37  % 18:3:1:INP:Top: p21(x0) -> p22(x0),ren8(x0)
% 0.13/0.37  % 19:3:1:INP:Top: p21(x0) -> p20(x0),ren9(x0)
% 0.13/0.37  % 20:3:1:INP:Top: p20(x0) -> p21(x0),ren9(x0)
% 0.13/0.37  % 21:3:1:INP:Top: p20(x0) -> p19(x0),ren10(x0)
% 0.13/0.37  % 22:3:1:INP:Top: p19(x0) -> p20(x0),ren10(x0)
% 0.13/0.37  % 23:3:1:INP:Top: p19(x0) -> p18(x0),ren11(x0)
% 0.13/0.37  % 24:3:1:INP:Top: p18(x0) -> p19(x0),ren11(x0)
% 0.13/0.37  % 25:3:1:INP:Top: p18(x0) -> p17(x0),ren12(x0)
% 0.13/0.37  % 26:3:1:INP:Top: p17(x0) -> p18(x0),ren12(x0)
% 0.13/0.37  % 27:3:1:INP:Top: p17(x0) -> p16(x0),ren13(x0)
% 0.13/0.37  % 28:3:1:INP:Top: p16(x0) -> p17(x0),ren13(x0)
% 0.13/0.37  % 29:3:1:INP:Top: p16(x0) -> p15(x0),ren14(x0)
% 0.13/0.37  % 30:3:1:INP:Top: p15(x0) -> p16(x0),ren14(x0)
% 0.13/0.37  % 31:3:1:INP:Top: p15(x0) -> p14(x0),ren15(x0)
% 0.13/0.37  % 32:3:1:INP:Top: p14(x0) -> p15(x0),ren15(x0)
% 0.13/0.37  % 33:3:1:INP:Top: p14(x0) -> p13(x0),ren16(x0)
% 0.13/0.37  % 34:3:1:INP:Top: p13(x0) -> p14(x0),ren16(x0)
% 0.13/0.37  % 35:3:1:INP:Top: p13(x0) -> p12(x0),ren17(x0)
% 0.13/0.37  % 36:3:1:INP:Top: p12(x0) -> p13(x0),ren17(x0)
% 0.13/0.37  % 37:3:1:INP:Top: p12(x0) -> p11(x0),ren18(x0)
% 0.13/0.37  % 38:3:1:INP:Top: p11(x0) -> p12(x0),ren18(x0)
% 0.13/0.37  % 39:3:1:INP:Top: p11(x0) -> p10(x0),ren19(x0)
% 0.13/0.37  % 40:3:1:INP:Top: p10(x0) -> p11(x0),ren19(x0)
% 0.13/0.37  % 41:3:1:INP:Top: p10(x0) -> p9(x0),ren20(x0)
% 0.13/0.37  % 42:3:1:INP:Top: p9(x0) -> p10(x0),ren20(x0)
% 0.13/0.37  % 43:3:1:INP:Top: p9(x0) -> p8(x0),ren21(x0)
% 0.13/0.37  % 44:3:1:INP:Top: p8(x0) -> p9(x0),ren21(x0)
% 0.13/0.37  % 45:3:1:INP:Top: p8(x0) -> p7(x0),ren22(x0)
% 0.13/0.37  % 46:3:1:INP:Top: p7(x0) -> p8(x0),ren22(x0)
% 0.13/0.37  % 47:3:1:INP:Top: p7(x0) -> p6(x0),ren23(x0)
% 0.13/0.37  % 48:3:1:INP:Top: p6(x0) -> p7(x0),ren23(x0)
% 0.13/0.37  % 49:3:1:INP:Top: p6(x0) -> p5(x0),ren24(x0)
% 0.13/0.37  % 50:3:1:INP:Top: p5(x0) -> p6(x0),ren24(x0)
% 0.13/0.37  % 51:3:1:INP:Top: p5(x0) -> p4(x0),ren25(x0)
% 0.13/0.37  % 52:3:1:INP:Top: p4(x0) -> p5(x0),ren25(x0)
% 0.13/0.37  % 53:3:1:INP:Top: p4(x0) -> p3(x0),ren26(x0)
% 0.13/0.37  % 54:3:1:INP:Top: p3(x0) -> p4(x0),ren26(x0)
% 0.13/0.37  % 55:3:1:INP:Top: p3(x0) -> p2(x0),ren27(x0)
% 0.13/0.37  % 56:3:1:INP:Top: p2(x0) -> p3(x0),ren27(x0)
% 0.13/0.37  % 57:3:1:INP:Top: p2(x0) -> p1(x0),ren28(x0)
% 0.13/0.37  % 58:3:1:INP:Top: p1(x0) -> p2(x0),ren28(x0)
% 0.13/0.37  % 59:2:1:INP:Top:  -> r1(x0,skf1(x0)),ren29(x0)
% 0.13/0.37  % 60:2:1:INP:Top:  -> r1(skf1(x0),skf2(x0)),ren29(x0)
% 0.13/0.37  % 61:2:1:INP:Top:  -> r1(skf2(x0),skf3(x0)),ren29(x0)
% 0.13/0.37  % 62:2:1:INP:Top:  -> r1(skf3(x0),skf4(x0)),ren29(x0)
% 0.13/0.37  % 63:2:1:INP:Top:  -> r1(skf4(x0),skf5(x0)),ren29(x0)
% 0.13/0.37  % 64:2:1:INP:Top:  -> r1(skf5(x0),skf6(x0)),ren29(x0)
% 0.13/0.37  % 65:2:1:INP:Top:  -> r1(skf6(x0),skf7(x0)),ren29(x0)
% 0.13/0.37  % 66:2:1:INP:Top:  -> r1(skf7(x0),skf8(x0)),ren29(x0)
% 0.13/0.37  % 67:2:1:INP:Top:  -> r1(skf8(x0),skf9(x0)),ren29(x0)
% 0.13/0.37  % 68:2:1:INP:Top:  -> r1(skf9(x0),skf10(x0)),ren29(x0)
% 0.13/0.37  % 69:2:1:INP:Top:  -> r1(skf10(x0),skf11(x0)),ren29(x0)
% 0.13/0.37  % 70:2:1:INP:Top:  -> r1(skf11(x0),skf12(x0)),ren29(x0)
% 0.13/0.37  % 71:2:1:INP:Top:  -> r1(skf12(x0),skf13(x0)),ren29(x0)
% 0.13/0.37  % 72:2:1:INP:Top:  -> r1(skf13(x0),skf14(x0)),ren29(x0)
% 0.13/0.37  % 73:2:1:INP:Top:  -> r1(skf14(x0),skf15(x0)),ren29(x0)
% 0.13/0.37  % 74:2:1:INP:Top:  -> r1(skf15(x0),skf16(x0)),ren29(x0)
% 0.13/0.37  % 75:2:1:INP:Top:  -> r1(skf16(x0),skf17(x0)),ren29(x0)
% 0.13/0.37  % 76:2:1:INP:Top:  -> r1(skf17(x0),skf18(x0)),ren29(x0)
% 0.13/0.37  % 77:2:1:INP:Top:  -> r1(skf18(x0),skf19(x0)),ren29(x0)
% 0.13/0.37  % 78:2:1:INP:Top:  -> r1(skf19(x0),skf20(x0)),ren29(x0)
% 0.13/0.37  % 79:2:1:INP:Top:  -> r1(skf20(x0),skf21(x0)),ren29(x0)
% 0.13/0.37  % 80:2:1:INP:Top:  -> r1(skf21(x0),skf22(x0)),ren29(x0)
% 0.13/0.37  % 81:2:1:INP:Top:  -> r1(skf22(x0),skf23(x0)),ren29(x0)
% 0.13/0.37  % 82:2:1:INP:Top:  -> r1(skf23(x0),skf24(x0)),ren29(x0)
% 0.13/0.37  % 83:2:1:INP:Top:  -> r1(skf24(x0),skf25(x0)),ren29(x0)
% 0.13/0.37  % 84:2:1:INP:Top:  -> r1(skf25(x0),skf26(x0)),ren29(x0)
% 0.13/0.37  % 85:2:1:INP:Top:  -> r1(skf26(x0),skf27(x0)),ren29(x0)
% 0.13/0.37  % 86:2:1:INP:Top:  -> r1(skf27(x0),skf28(x0)),ren29(x0)
% 0.13/0.37  % 87:3:2:INP:TopTop: r1(skf27(x0),x1),ren1(x1) -> ren29(x0)
% 0.13/0.37  % 88:3:2:INP:TopTop: r1(skf26(x0),x1),ren2(x1) -> ren29(x0)
% 0.13/0.37  % 89:3:2:INP:TopTop: r1(skf25(x0),x1),ren3(x1) -> ren29(x0)
% 0.13/0.37  % 90:3:2:INP:TopTop: r1(skf24(x0),x1),ren4(x1) -> ren29(x0)
% 0.13/0.37  % 91:3:2:INP:TopTop: r1(skf23(x0),x1),ren5(x1) -> ren29(x0)
% 0.13/0.37  % 92:3:2:INP:TopTop: r1(skf22(x0),x1),ren6(x1) -> ren29(x0)
% 0.13/0.37  % 93:3:2:INP:TopTop: r1(skf21(x0),x1),ren7(x1) -> ren29(x0)
% 0.13/0.37  % 94:3:2:INP:TopTop: r1(skf20(x0),x1),ren8(x1) -> ren29(x0)
% 0.13/0.37  % 95:3:2:INP:TopTop: r1(skf19(x0),x1),ren9(x1) -> ren29(x0)
% 0.13/0.37  % 96:3:2:INP:TopTop: r1(skf18(x0),x1),ren10(x1) -> ren29(x0)
% 0.13/0.37  % 97:3:2:INP:TopTop: r1(skf17(x0),x1),ren11(x1) -> ren29(x0)
% 0.13/0.37  % 98:3:2:INP:TopTop: r1(skf16(x0),x1),ren12(x1) -> ren29(x0)
% 0.13/0.37  % 99:3:2:INP:TopTop: r1(skf15(x0),x1),ren13(x1) -> ren29(x0)
% 0.13/0.37  % 100:3:2:INP:TopTop: r1(skf14(x0),x1),ren14(x1) -> ren29(x0)
% 0.13/0.37  % 101:3:2:INP:TopTop: r1(skf13(x0),x1),ren15(x1) -> ren29(x0)
% 0.13/0.37  % 102:3:2:INP:TopTop: r1(skf12(x0),x1),ren16(x1) -> ren29(x0)
% 0.13/0.37  % 103:3:2:INP:TopTop: r1(skf11(x0),x1),ren17(x1) -> ren29(x0)
% 0.13/0.37  % 104:3:2:INP:TopTop: r1(skf10(x0),x1),ren18(x1) -> ren29(x0)
% 0.13/0.37  % 105:3:2:INP:TopTop: r1(skf9(x0),x1),ren19(x1) -> ren29(x0)
% 0.13/0.37  % 106:3:2:INP:TopTop: r1(skf8(x0),x1),ren20(x1) -> ren29(x0)
% 0.13/0.37  % 107:3:2:INP:TopTop: r1(skf7(x0),x1),ren21(x1) -> ren29(x0)
% 0.13/0.37  % 108:3:2:INP:TopTop: r1(skf6(x0),x1),ren22(x1) -> ren29(x0)
% 0.13/0.37  % 109:3:2:INP:TopTop: r1(skf5(x0),x1),ren23(x1) -> ren29(x0)
% 0.13/0.37  % 110:3:2:INP:TopTop: r1(skf4(x0),x1),ren24(x1) -> ren29(x0)
% 0.13/0.37  % 111:3:2:INP:TopTop: r1(skf3(x0),x1),ren25(x1) -> ren29(x0)
% 0.13/0.37  % 112:3:2:INP:TopTop: r1(skf2(x0),x1),ren26(x1) -> ren29(x0)
% 0.13/0.37  % 113:3:2:INP:TopTop: r1(skf1(x0),x1),ren27(x1) -> ren29(x0)
% 0.13/0.37  % 114:3:2:INP:TopTop: r1(x0,x1),ren28(x1) -> ren29(x0)
% 0.13/0.37  % 115:2:1:INP:Top:  -> r1(x0,skf29(x0)),ren29(x0)
% 0.13/0.37  % 116:2:1:INP:Top: p30(skf29(x0)) -> ren29(x0)
% 27.97/28.20  % 117:2:1:INP:Top:  -> r1(x0,skf30(x0)),ren29(x0)
% 27.97/28.20  % 118:3:1:INP:Top:  -> p28(skf30(x0)),p29(skf30(x0)),ren29(x0)
% 27.97/28.20  % 119:3:1:INP:Top: p29(skf30(x0)),p28(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 120:3:1:INP:Top:  -> p27(skf30(x0)),p28(skf30(x0)),ren29(x0)
% 27.97/28.20  % 121:3:1:INP:Top: p28(skf30(x0)),p27(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 122:3:1:INP:Top:  -> p26(skf30(x0)),p27(skf30(x0)),ren29(x0)
% 27.97/28.20  % 123:3:1:INP:Top: p27(skf30(x0)),p26(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 124:3:1:INP:Top:  -> p25(skf30(x0)),p26(skf30(x0)),ren29(x0)
% 27.97/28.20  % 125:3:1:INP:Top: p26(skf30(x0)),p25(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 126:3:1:INP:Top:  -> p24(skf30(x0)),p25(skf30(x0)),ren29(x0)
% 27.97/28.20  % 127:3:1:INP:Top: p25(skf30(x0)),p24(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 128:3:1:INP:Top:  -> p23(skf30(x0)),p24(skf30(x0)),ren29(x0)
% 27.97/28.20  % 129:3:1:INP:Top: p24(skf30(x0)),p23(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 130:3:1:INP:Top:  -> p22(skf30(x0)),p23(skf30(x0)),ren29(x0)
% 27.97/28.20  % 131:3:1:INP:Top: p23(skf30(x0)),p22(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 132:3:1:INP:Top:  -> p21(skf30(x0)),p22(skf30(x0)),ren29(x0)
% 27.97/28.20  % 133:3:1:INP:Top: p22(skf30(x0)),p21(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 134:3:1:INP:Top:  -> p20(skf30(x0)),p21(skf30(x0)),ren29(x0)
% 27.97/28.20  % 135:3:1:INP:Top: p21(skf30(x0)),p20(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 136:3:1:INP:Top:  -> p19(skf30(x0)),p20(skf30(x0)),ren29(x0)
% 27.97/28.20  % 137:3:1:INP:Top: p20(skf30(x0)),p19(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 138:3:1:INP:Top:  -> p18(skf30(x0)),p19(skf30(x0)),ren29(x0)
% 27.97/28.20  % 139:3:1:INP:Top: p19(skf30(x0)),p18(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 140:3:1:INP:Top:  -> p17(skf30(x0)),p18(skf30(x0)),ren29(x0)
% 27.97/28.20  % 141:3:1:INP:Top: p18(skf30(x0)),p17(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 142:3:1:INP:Top:  -> p16(skf30(x0)),p17(skf30(x0)),ren29(x0)
% 27.97/28.20  % 143:3:1:INP:Top: p17(skf30(x0)),p16(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 144:3:1:INP:Top:  -> p15(skf30(x0)),p16(skf30(x0)),ren29(x0)
% 27.97/28.20  % 145:3:1:INP:Top: p16(skf30(x0)),p15(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 146:3:1:INP:Top:  -> p14(skf30(x0)),p15(skf30(x0)),ren29(x0)
% 27.97/28.20  % 147:3:1:INP:Top: p15(skf30(x0)),p14(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 148:3:1:INP:Top:  -> p13(skf30(x0)),p14(skf30(x0)),ren29(x0)
% 27.97/28.20  % 149:3:1:INP:Top: p14(skf30(x0)),p13(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 150:3:1:INP:Top:  -> p12(skf30(x0)),p13(skf30(x0)),ren29(x0)
% 27.97/28.20  % 151:3:1:INP:Top: p13(skf30(x0)),p12(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 152:3:1:INP:Top:  -> p11(skf30(x0)),p12(skf30(x0)),ren29(x0)
% 27.97/28.20  % 153:3:1:INP:Top: p12(skf30(x0)),p11(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 154:3:1:INP:Top:  -> p10(skf30(x0)),p11(skf30(x0)),ren29(x0)
% 27.97/28.20  % 155:3:1:INP:Top: p11(skf30(x0)),p10(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 156:3:1:INP:Top:  -> p9(skf30(x0)),p10(skf30(x0)),ren29(x0)
% 27.97/28.20  % 157:3:1:INP:Top: p10(skf30(x0)),p9(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 158:3:1:INP:Top:  -> p8(skf30(x0)),p9(skf30(x0)),ren29(x0)
% 27.97/28.20  % 159:3:1:INP:Top: p9(skf30(x0)),p8(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 160:3:1:INP:Top:  -> p7(skf30(x0)),p8(skf30(x0)),ren29(x0)
% 27.97/28.20  % 161:3:1:INP:Top: p8(skf30(x0)),p7(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 162:3:1:INP:Top:  -> p6(skf30(x0)),p7(skf30(x0)),ren29(x0)
% 27.97/28.20  % 163:3:1:INP:Top: p7(skf30(x0)),p6(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 164:3:1:INP:Top:  -> p5(skf30(x0)),p6(skf30(x0)),ren29(x0)
% 27.97/28.20  % 165:3:1:INP:Top: p6(skf30(x0)),p5(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 166:3:1:INP:Top:  -> p4(skf30(x0)),p5(skf30(x0)),ren29(x0)
% 27.97/28.20  % 167:3:1:INP:Top: p5(skf30(x0)),p4(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 168:3:1:INP:Top:  -> p3(skf30(x0)),p4(skf30(x0)),ren29(x0)
% 27.97/28.20  % 169:3:1:INP:Top: p4(skf30(x0)),p3(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 170:3:1:INP:Top:  -> p2(skf30(x0)),p3(skf30(x0)),ren29(x0)
% 27.97/28.20  % 171:3:1:INP:Top: p3(skf30(x0)),p2(skf30(x0)) -> ren29(x0)
% 27.97/28.20  % 172:3:1:INP:Top:  -> p1(skf30(x0)),p2(skf30(x0)),ren29(x0)
% 27.97/28.20  % 173:3:1:INP:Top: p2(skf30(x0)),p1(skf30(x0)) -> ren29(x0)
% 27.97/28.20  
% 27.97/28.20  % Reduced Input Conjecture Clauses:
% 27.97/28.20  % 174:1:0:INP::  -> r1(skc31,skc32)
% 27.97/28.20  % 175:1:0:INP::  -> p30(skc32)
% 27.97/28.20  % 176:1:0:INP::  -> r1(skc32,skc33)
% 27.97/28.20  % 177:1:0:INP::  -> p1(skc33)
% 27.97/28.20  % 178:1:0:INP::  -> r1(skc31,skc34)
% 27.97/28.20  % 179:2:1:INP:Top: r1(skc34,x0),ren29(x0) -> 
% 27.97/28.20  
% 27.97/28.20  
% 27.97/28.20  % === Starting SPASS-SCL-FOL A Little Less Naive, considering 493 atoms initially. Used heuristic: lmodel_grow ===
% 27.97/28.20  
% 27.97/28.20  
% 27.97/28.20  
% 27.97/28.20  % SZS status Theorem
% 27.97/28.20  % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.97/28.20  
% 27.97/28.20  % SPASS-SCL-FOL Statistics:
% 27.97/28.20  % Number of learned clauses: 35
% 27.97/28.20  % Number of propagations: 11480
% 27.97/28.20  % Number of decisions: 4577
% 27.97/28.22  % Number of resolutions: 45
% 27.97/28.22  % Number of condensations: 0
% 27.97/28.22  % Number of sub resolutions: 2
% 27.97/28.22  
% 27.97/28.22  % Solver is done. Empty clause found
% 27.97/28.22  
% 27.97/28.22  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 27.97/28.22  % SZS output start Proof for theBenchmark
% See solution above
% 27.97/28.23  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 27.97/28.23  
% 27.97/28.23  
% 27.97/28.23  % Needed:       0:0:27.85
% 27.97/28.23  
% 27.97/28.23  % ###
% 27.97/28.23  % ### Pagesize: 8192
% 27.97/28.23  % ### Marksize: 0
% 27.97/28.23  % ### Memory demanded:  75725 KBytes
% 27.97/28.23  % ### Memory freed:     75725 KBytes
% 27.97/28.23  % ### Memory remaining: 0 Bytes
% 27.97/28.23  % ### Pages allocated:  3871 Pages
% 27.97/28.23  % ###
%------------------------------------------------------------------------------