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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 : Thu Sep 24 12:46:02 PM UTC 2026

% Result   : Unsatisfiable 4.70s 1.27s
% Output   : CNFRefutation 4.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :  105
% Syntax   : Number of formulae    :  490 (  49 unt;  75 def)
%            Number of atoms       : 1237 ( 297 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 1217 ( 470   ~; 672   |;   0   &)
%                                         (  75 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   82 (  80 usr;  76 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  211 ( 211   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X_0] : plus(X_0,n1) != n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X_1] : gt(plus(X_1,n1),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X_2] :
      ( gt(X_2,minus(X_2,n1))
      | ~ gt(X_2,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X_3,Y_4,Z_5] :
      ( def_10(Y_4,X_3)
      | plus(Z_5,Y_4) = X_3
      | minus(X_3,Y_4) != Z_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X_3,Y_4,Z_5] :
      ( def_10(Y_4,X_3)
      | plus(Z_5,Y_4) != X_3
      | minus(X_3,Y_4) = Z_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Y_4,X_3] :
      ( ~ gt(X_3,Y_4)
      | ~ def_10(Y_4,X_3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [Y_4,X_3] :
      ( X_3 != Y_4
      | ~ def_10(Y_4,X_3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Y_12,X_11] :
      ( gt(plus(Y_12,n1),plus(X_11,n1))
      | ~ gt(Y_12,X_11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Y_12,X_11] :
      ( ~ gt(plus(Y_12,n1),plus(X_11,n1))
      | gt(Y_12,X_11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X_13,Y_14] :
      ( Y_14 = X_13
      | ~ gt(plus(X_13,n1),Y_14)
      | gt(X_13,Y_14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [Y_18,X_17] :
      ( gt(X_17,Y_18)
      | X_17 = Y_18
      | gt(Y_18,X_17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [Z_21,Y_20,X_19] :
      ( ~ gt(Y_20,X_19)
      | gt(Z_21,X_19)
      | ~ gt(Z_21,Y_20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [Y_24,X_23] :
      ( gt(Y_24,plus(X_23,n1))
      | plus(X_23,n1) = Y_24
      | ~ gt(Y_24,X_23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X_25] :
      ( gt(X_25,n0)
      | X_25 = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X_26] :
      ( X_26 = plus(y_27(X_26),n1)
      | X_26 = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X_28] : ~ gt(X_28,X_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X_29,Y_30] :
      ( X_29 = Y_30
      | plus(X_29,n1) != plus(Y_30,n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X_31] : plus(n0,X_31) = X_31,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X_t_32] : level(X_t_32) = int_level(X_t_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [X_t_37] :
      ( int_level(plus(X_t_37,n1)) = n0
      | ~ p_Reset(X_t_37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1)
      | ~ gt(fifo_length,int_level(X_t_42))
      | p_Rd(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
      | gt(fifo_length,int_level(X_t_42))
      | p_Rd(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
      | ~ gt(int_level(X_t_42),n0)
      | ~ p_Rd(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1)
      | gt(int_level(X_t_42),n0)
      | ~ p_Rd(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f71,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1)
      | ~ gt(int_level(X_t_42),n0)
      | ~ p_Rd(X_t_42)
      | p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
      | gt(int_level(X_t_42),n0)
      | ~ p_Rd(X_t_42)
      | p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,axiom,
    ! [X_t_42] :
      ( int_level(plus(X_t_42,n1)) = int_level(X_t_42)
      | p_Rd(X_t_42)
      | p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ~ gt(level(x_139),fifo_length),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    gt(level(plus(x_139,n1)),fifo_length),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,plain,
    ! [X0] : plus(X0,n1) != n0,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f95,plain,
    ! [X0] : gt(plus(X0,n1),n0),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f96,plain,
    ! [X0] :
      ( gt(X0,minus(X0,n1))
      | ~ gt(X0,n0) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f97,plain,
    ! [X_3,Y_4] :
      ( def_10(Y_4,X_3)
      | ! [Z_5] :
          ( plus(Z_5,Y_4) = X_3
          | minus(X_3,Y_4) != Z_5 ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( def_10(X1,X0)
      | plus(X2,X1) = X0
      | minus(X0,X1) != X2 ),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f99,plain,
    ! [X_3,Y_4] :
      ( def_10(Y_4,X_3)
      | ! [Z_5] :
          ( plus(Z_5,Y_4) != X_3
          | minus(X_3,Y_4) = Z_5 ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( def_10(X1,X0)
      | plus(X2,X1) != X0
      | minus(X0,X1) = X2 ),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ def_10(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( X1 != X0
      | ~ def_10(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( gt(plus(X0,n1),plus(X1,n1))
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ gt(plus(X0,n1),plus(X1,n1))
      | gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ gt(plus(X0,n1),X1)
      | gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X1 = X0
      | gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f108,plain,
    ! [Y_20,X_19] :
      ( ~ gt(Y_20,X_19)
      | ! [Z_21] :
          ( gt(Z_21,X_19)
          | ~ gt(Z_21,Y_20) ) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ~ gt(X1,X2)
      | gt(X0,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f108]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( gt(X0,plus(X1,n1))
      | plus(X1,n1) = X0
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f111,plain,
    ! [X0] :
      ( gt(X0,n0)
      | X0 = n0 ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f112,plain,
    ! [X0] :
      ( X0 = plus(y_27(X0),n1)
      | X0 = n0 ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f113,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( X0 = X1
      | plus(X0,n1) != plus(X1,n1) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f115,plain,
    ! [X0] : plus(n0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f117,plain,
    ! [X0] : level(X0) = int_level(X0),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f122,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = n0
      | ~ p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f133,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
      | ~ gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f142,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | gt(fifo_length,int_level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f151,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f157,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
      | gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f169,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f176,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f180,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f189,plain,
    ~ gt(level(x_139),fifo_length),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f190,plain,
    gt(level(plus(x_139,n1)),fifo_length),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f191,plain,
    gt(fifo_length,n0),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( def_10(X1,X0)
      | plus(minus(X0,X1),X1) = X0 ),
    inference(destructive_equality_resolution,[status(thm)],[f98]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( def_10(X1,plus(X0,X1))
      | minus(plus(X0,X1),X1) = X0 ),
    inference(destructive_equality_resolution,[status(thm)],[f100]) ).

fof(f194,plain,
    ! [X0] : ~ def_10(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f102]) ).

fof(f199,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = n0
      | ~ p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f122]) ).

fof(f202,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
      | ~ gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f133]) ).

fof(f203,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = plus(int_level(X0),n1)
      | ~ gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f202]) ).

fof(f204,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = plus(level(X0),n1)
      | ~ gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f203]) ).

fof(f216,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f142]) ).

fof(f217,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = int_level(X0)
      | gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f216]) ).

fof(f218,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | gt(fifo_length,level(X0))
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f217]) ).

fof(f230,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f151]) ).

fof(f231,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = int_level(X0)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f230]) ).

fof(f232,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f231]) ).

fof(f240,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f157]) ).

fof(f241,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = plus(int_level(X0),n1)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f240]) ).

fof(f242,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = plus(level(X0),n1)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f241]) ).

fof(f260,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f169]) ).

fof(f261,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = minus(int_level(X0),n1)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f260]) ).

fof(f262,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = minus(level(X0),n1)
      | ~ gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f261]) ).

fof(f277,plain,
    ! [X0] :
      ( int_level(plus(X0,n1)) = int_level(X0)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f176]) ).

fof(f278,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = int_level(X0)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f277]) ).

fof(f279,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | gt(level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f278]) ).

fof(f287,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = int_level(X0)
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f180]) ).

fof(f288,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | gt(fifo_length,level(X0))
      | p_Rd(X0)
      | p_Reset(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f218,f290]) ).

fof(f289,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | gt(level(X0),n0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f279,f290]) ).

fof(f290,plain,
    ! [X0] :
      ( level(plus(X0,n1)) = level(X0)
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_demodulation,[status(thm)],[f117,f287]) ).

fof(f310,plain,
    n1 != n0,
    inference(paramodulation,[status(thm)],[f115,f94]) ).

fof(f314,plain,
    gt(n1,n0),
    inference(paramodulation,[status(thm)],[f115,f95]) ).

fof(f315,plain,
    ( level(x_139) = fifo_length
    | gt(fifo_length,level(x_139)) ),
    inference(resolution,[status(thm)],[f107,f189]) ).

fof(f317,definition,
    ( sQ0_spl
  <=> gt(fifo_length,level(x_139)) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f318,plain,
    ( ~ sQ0_spl
    | gt(fifo_length,level(x_139)) ),
    inference(component_clause,[status(thm)],[f317]) ).

fof(f320,definition,
    ( sQ1_spl
  <=> level(x_139) = fifo_length ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f321,plain,
    ( ~ sQ1_spl
    | level(x_139) = fifo_length ),
    inference(component_clause,[status(thm)],[f320]) ).

fof(f323,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f315,f317,f320]) ).

fof(f325,plain,
    ! [X0] :
      ( gt(n1,plus(X0,n1))
      | ~ gt(n0,X0) ),
    inference(paramodulation,[status(thm)],[f115,f103]) ).

fof(f326,plain,
    ! [X0] :
      ( gt(plus(X0,n1),n1)
      | ~ gt(X0,n0) ),
    inference(paramodulation,[status(thm)],[f115,f103]) ).

fof(f327,plain,
    ~ gt(plus(level(x_139),n1),plus(fifo_length,n1)),
    inference(resolution,[status(thm)],[f104,f189]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( X1 = n0
      | gt(plus(X0,n1),X1)
      | ~ gt(X0,y_27(X1)) ),
    inference(paramodulation,[status(thm)],[f112,f103]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( X0 = n0
      | gt(X0,plus(X1,n1))
      | ~ gt(y_27(X0),X1) ),
    inference(paramodulation,[status(thm)],[f112,f103]) ).

fof(f334,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | plus(minus(X0,X1),X1) = X0 ),
    inference(resolution,[status(thm)],[f192,f101]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(X0,X1) ),
    inference(resolution,[status(thm)],[f109,f113]) ).

fof(f342,plain,
    ~ gt(n0,n1),
    inference(resolution,[status(thm)],[f341,f314]) ).

fof(f344,plain,
    ! [X0] : ~ gt(n0,plus(X0,n1)),
    inference(resolution,[status(thm)],[f341,f95]) ).

fof(f345,plain,
    ~ gt(fifo_length,level(plus(x_139,n1))),
    inference(resolution,[status(thm)],[f341,f190]) ).

fof(f347,plain,
    ~ gt(n0,fifo_length),
    inference(resolution,[status(thm)],[f341,f191]) ).

fof(f348,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(n0,X0) ),
    inference(resolution,[status(thm)],[f341,f111]) ).

fof(f354,plain,
    ( n0 = n1
    | gt(n1,n0) ),
    inference(resolution,[status(thm)],[f342,f107]) ).

fof(f356,definition,
    ( sQ2_spl
  <=> gt(n1,n0) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f359,definition,
    ( sQ3_spl
  <=> n0 = n1 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f360,plain,
    ( ~ sQ3_spl
    | n0 = n1 ),
    inference(component_clause,[status(thm)],[f359]) ).

fof(f362,plain,
    ( sQ3_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f354,f356,f359]) ).

fof(f365,plain,
    ( n0 = fifo_length
    | gt(fifo_length,n0) ),
    inference(resolution,[status(thm)],[f347,f107]) ).

fof(f367,definition,
    ( sQ4_spl
  <=> gt(fifo_length,n0) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f370,definition,
    ( sQ5_spl
  <=> n0 = fifo_length ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f371,plain,
    ( ~ sQ5_spl
    | n0 = fifo_length ),
    inference(component_clause,[status(thm)],[f370]) ).

fof(f373,plain,
    ( sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f365,f367,f370]) ).

fof(f374,plain,
    ( n0 = n0
    | n0 = n0 ),
    inference(resolution,[status(thm)],[f348,f111]) ).

fof(f378,definition,
    ( sQ6_spl
  <=> n0 = n0 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f381,plain,
    sQ6_spl,
    inference(split_clause,[status(thm)],[f374,f378]) ).

fof(f392,plain,
    ! [X0] :
      ( ~ gt(minus(X0,n1),X0)
      | ~ gt(X0,n0) ),
    inference(resolution,[status(thm)],[f96,f341]) ).

fof(f400,plain,
    ! [X0,X1] :
      ( ~ gt(plus(X0,X1),X1)
      | minus(plus(X0,X1),X1) = X0 ),
    inference(resolution,[status(thm)],[f193,f101]) ).

fof(f403,plain,
    ! [X0] :
      ( def_10(X0,X0)
      | minus(plus(n0,X0),X0) = n0 ),
    inference(paramodulation,[status(thm)],[f115,f193]) ).

fof(f404,plain,
    ! [X0] :
      ( def_10(X0,X0)
      | minus(X0,X0) = n0 ),
    inference(forward_demodulation,[status(thm)],[f115,f403]) ).

fof(f408,plain,
    ! [X0] : minus(X0,X0) = n0,
    inference(forward_subsumption_resolution,[status(thm)],[f404,f194]) ).

fof(f409,plain,
    ! [X0] :
      ( plus(X0,n1) = n0
      | ~ gt(plus(n0,n1),plus(X0,n1)) ),
    inference(resolution,[status(thm)],[f105,f344]) ).

fof(f410,plain,
    ( fifo_length = n0
    | ~ gt(plus(n0,n1),fifo_length) ),
    inference(resolution,[status(thm)],[f105,f347]) ).

fof(f411,plain,
    ( n1 = n0
    | ~ gt(plus(n0,n1),n1) ),
    inference(resolution,[status(thm)],[f105,f342]) ).

fof(f412,plain,
    ! [X0] :
      ( X0 = n0
      | X0 = n0
      | ~ gt(plus(n0,n1),X0) ),
    inference(resolution,[status(thm)],[f105,f348]) ).

fof(f413,plain,
    ( fifo_length = level(x_139)
    | ~ gt(plus(level(x_139),n1),fifo_length) ),
    inference(resolution,[status(thm)],[f105,f189]) ).

fof(f414,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | X1 = X0
      | ~ gt(plus(X0,n1),X1) ),
    inference(resolution,[status(thm)],[f105,f341]) ).

fof(f416,plain,
    ! [X0] :
      ( plus(X0,n1) = n0
      | ~ gt(n1,plus(X0,n1)) ),
    inference(forward_demodulation,[status(thm)],[f115,f409]) ).

fof(f417,plain,
    ! [X0] : ~ gt(n0,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f325,f418]) ).

fof(f418,plain,
    ! [X0] : ~ gt(n1,plus(X0,n1)),
    inference(forward_subsumption_resolution,[status(thm)],[f416,f94]) ).

fof(f419,definition,
    ( sQ9_spl
  <=> gt(plus(n0,n1),fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f421,plain,
    ( sQ9_spl
    | ~ gt(plus(n0,n1),fifo_length) ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( sQ5_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f410,f419,f370]) ).

fof(f423,definition,
    ( sQ10_spl
  <=> gt(plus(n0,n1),n1) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f426,plain,
    ( sQ3_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f411,f423,f359]) ).

fof(f427,plain,
    ! [X0] :
      ( X0 = n0
      | X0 = n0
      | ~ gt(n1,X0) ),
    inference(forward_demodulation,[status(thm)],[f115,f412]) ).

fof(f428,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(n1,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f427]) ).

fof(f429,definition,
    ( sQ11_spl
  <=> gt(plus(level(x_139),n1),fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f430,plain,
    ( ~ sQ11_spl
    | gt(plus(level(x_139),n1),fifo_length) ),
    inference(component_clause,[status(thm)],[f429]) ).

fof(f432,plain,
    ( sQ1_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f413,f429,f320]) ).

fof(f436,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f360,f310]) ).

fof(f437,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f436]) ).

fof(f441,plain,
    ( ~ sQ5_spl
    | gt(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f371,f191]) ).

fof(f468,plain,
    ( ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f441,f113]) ).

fof(f469,plain,
    ~ sQ5_spl,
    inference(contradiction_clause,[status(thm)],[f468]) ).

fof(f470,plain,
    ( sQ9_spl
    | ~ gt(n1,fifo_length) ),
    inference(forward_demodulation,[status(thm)],[f115,f421]) ).

fof(f471,plain,
    ( sQ9_spl
    | fifo_length = n1
    | ~ gt(plus(n1,n1),fifo_length) ),
    inference(resolution,[status(thm)],[f470,f105]) ).

fof(f475,definition,
    ( sQ12_spl
  <=> gt(plus(n1,n1),fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f476,plain,
    ( ~ sQ12_spl
    | gt(plus(n1,n1),fifo_length) ),
    inference(component_clause,[status(thm)],[f475]) ).

fof(f477,plain,
    ( sQ12_spl
    | ~ gt(plus(n1,n1),fifo_length) ),
    inference(component_clause,[status(thm)],[f475]) ).

fof(f478,definition,
    ( sQ13_spl
  <=> fifo_length = n1 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f479,plain,
    ( ~ sQ13_spl
    | fifo_length = n1 ),
    inference(component_clause,[status(thm)],[f478]) ).

fof(f481,plain,
    ( sQ9_spl
    | sQ13_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f471,f475,f478,f419]) ).

fof(f482,definition,
    ( sQ14_spl
  <=> gt(fifo_length,n1) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f483,plain,
    ( ~ sQ14_spl
    | gt(fifo_length,n1) ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | level(plus(X0,n1)) = level(X0)
      | gt(n1,level(X0))
      | p_Rd(X0)
      | p_Reset(X0) ),
    inference(backward_demodulation,[status(thm)],[f479,f288]) ).

fof(f505,plain,
    ( ~ sQ13_spl
    | ~ gt(n1,level(plus(x_139,n1))) ),
    inference(backward_demodulation,[status(thm)],[f479,f345]) ).

fof(f506,plain,
    ( ~ sQ1_spl
    | ~ sQ13_spl
    | level(x_139) = n1 ),
    inference(backward_demodulation,[status(thm)],[f479,f321]) ).

fof(f533,plain,
    ( ~ gt(n1,n0)
    | minus(n1,n1) = n0 ),
    inference(resolution,[status(thm)],[f428,f96]) ).

fof(f535,plain,
    ! [X0] :
      ( X0 = n1
      | ~ gt(plus(n1,n1),X0)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f428,f105]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(n1,X1)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f428,f109]) ).

fof(f538,plain,
    ! [X0] :
      ( n1 = X0
      | gt(X0,n1)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f428,f107]) ).

fof(f539,definition,
    ( sQ15_spl
  <=> minus(n1,n1) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f542,plain,
    ( ~ sQ2_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f533,f539,f356]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( ~ gt(X0,plus(X1,n1))
      | ~ gt(n1,X0) ),
    inference(resolution,[status(thm)],[f418,f109]) ).

fof(f551,plain,
    ( n1 = n0
    | n1 = n1
    | n1 = n0 ),
    inference(resolution,[status(thm)],[f538,f428]) ).

fof(f555,definition,
    ( sQ16_spl
  <=> n1 = n1 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f558,plain,
    ( sQ16_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f551,f359,f555]) ).

fof(f561,plain,
    ! [X0] :
      ( plus(X0,n1) = n0
      | X0 = y_27(plus(X0,n1)) ),
    inference(resolution,[status(thm)],[f114,f112]) ).

fof(f564,plain,
    ! [X0] :
      ( n0 = X0
      | n1 != plus(X0,n1) ),
    inference(paramodulation,[status(thm)],[f115,f114]) ).

fof(f568,plain,
    ! [X0] : X0 = y_27(plus(X0,n1)),
    inference(forward_subsumption_resolution,[status(thm)],[f561,f94]) ).

fof(f572,plain,
    n0 = y_27(n1),
    inference(paramodulation,[status(thm)],[f115,f568]) ).

fof(f575,definition,
    ( sQ17_spl
  <=> n1 = plus(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f579,plain,
    ( n1 = n0
    | n0 = y_27(n1) ),
    inference(resolution,[status(thm)],[f564,f112]) ).

fof(f583,definition,
    ( sQ18_spl
  <=> n0 = y_27(n1) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f586,plain,
    ( sQ3_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f579,f583,f359]) ).

fof(f589,plain,
    ! [X0] :
      ( plus(X0,n1) = n1
      | ~ gt(n1,X0) ),
    inference(resolution,[status(thm)],[f110,f418]) ).

fof(f595,plain,
    ! [X0] :
      ( gt(X0,n1)
      | plus(n0,n1) = X0
      | ~ gt(X0,n0) ),
    inference(paramodulation,[status(thm)],[f115,f110]) ).

fof(f596,plain,
    ! [X0] :
      ( gt(X0,n1)
      | n1 = X0
      | ~ gt(X0,n0) ),
    inference(forward_demodulation,[status(thm)],[f115,f595]) ).

fof(f597,plain,
    plus(minus(n1,n0),n0) = n1,
    inference(resolution,[status(thm)],[f334,f314]) ).

fof(f607,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | plus(minus(X0,X1),X1) = X0 ),
    inference(resolution,[status(thm)],[f334,f107]) ).

fof(f643,plain,
    ( ~ sQ13_spl
    | level(plus(x_139,n1)) = n1
    | ~ gt(plus(n1,n1),level(plus(x_139,n1))) ),
    inference(resolution,[status(thm)],[f505,f105]) ).

fof(f646,plain,
    ( ~ sQ13_spl
    | n1 = level(plus(x_139,n1))
    | gt(level(plus(x_139,n1)),n1) ),
    inference(resolution,[status(thm)],[f505,f107]) ).

fof(f647,definition,
    ( sQ20_spl
  <=> gt(plus(n1,n1),level(plus(x_139,n1))) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f648,plain,
    ( ~ sQ20_spl
    | gt(plus(n1,n1),level(plus(x_139,n1))) ),
    inference(component_clause,[status(thm)],[f647]) ).

fof(f649,plain,
    ( sQ20_spl
    | ~ gt(plus(n1,n1),level(plus(x_139,n1))) ),
    inference(component_clause,[status(thm)],[f647]) ).

fof(f650,definition,
    ( sQ21_spl
  <=> level(plus(x_139,n1)) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f651,plain,
    ( ~ sQ21_spl
    | level(plus(x_139,n1)) = n1 ),
    inference(component_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( ~ sQ13_spl
    | sQ21_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f643,f647,f650,f478]) ).

fof(f654,definition,
    ( sQ22_spl
  <=> gt(level(plus(x_139,n1)),n1) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f657,plain,
    ( ~ sQ13_spl
    | sQ21_spl
    | sQ22_spl ),
    inference(split_clause,[status(thm)],[f646,f654,f650,f478]) ).

fof(f658,plain,
    ( ~ sQ21_spl
    | ~ gt(fifo_length,n1) ),
    inference(forward_demodulation,[status(thm)],[f651,f345]) ).

fof(f659,plain,
    ( ~ sQ21_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f658,f483]) ).

fof(f660,plain,
    ( ~ sQ21_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f659]) ).

fof(f676,plain,
    ( sQ12_spl
    | fifo_length = plus(n1,n1)
    | ~ gt(plus(plus(n1,n1),n1),fifo_length) ),
    inference(resolution,[status(thm)],[f477,f105]) ).

fof(f679,plain,
    ( sQ12_spl
    | plus(n1,n1) = fifo_length
    | gt(fifo_length,plus(n1,n1)) ),
    inference(resolution,[status(thm)],[f477,f107]) ).

fof(f680,definition,
    ( sQ23_spl
  <=> gt(plus(plus(n1,n1),n1),fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f683,definition,
    ( sQ24_spl
  <=> fifo_length = plus(n1,n1) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f684,plain,
    ( ~ sQ24_spl
    | fifo_length = plus(n1,n1) ),
    inference(component_clause,[status(thm)],[f683]) ).

fof(f686,plain,
    ( sQ12_spl
    | sQ24_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f676,f680,f683,f475]) ).

fof(f687,definition,
    ( sQ25_spl
  <=> gt(fifo_length,plus(n1,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f688,plain,
    ( ~ sQ25_spl
    | gt(fifo_length,plus(n1,n1)) ),
    inference(component_clause,[status(thm)],[f687]) ).

fof(f690,plain,
    ( sQ12_spl
    | sQ24_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f679,f687,f683,f475]) ).

fof(f701,plain,
    ( ~ sQ24_spl
    | n0 = n1
    | n1 != fifo_length ),
    inference(paramodulation,[status(thm)],[f684,f564]) ).

fof(f712,plain,
    ( ~ sQ24_spl
    | sQ3_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f701,f478,f359,f683]) ).

fof(f713,definition,
    ( sQ26_spl
  <=> minus(plus(n1,n1),n1) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f714,plain,
    ( ~ sQ26_spl
    | minus(plus(n1,n1),n1) = n1 ),
    inference(component_clause,[status(thm)],[f713]) ).

fof(f716,definition,
    ( sQ27_spl
  <=> def_10(n1,fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f717,plain,
    ( ~ sQ27_spl
    | def_10(n1,fifo_length) ),
    inference(component_clause,[status(thm)],[f716]) ).

fof(f726,plain,
    ( ~ sQ25_spl
    | ~ sQ13_spl
    | gt(n1,plus(n1,n1)) ),
    inference(backward_demodulation,[status(thm)],[f479,f688]) ).

fof(f730,plain,
    ( ~ sQ13_spl
    | gt(level(plus(x_139,n1)),n1) ),
    inference(backward_demodulation,[status(thm)],[f479,f190]) ).

fof(f750,plain,
    ( ~ sQ25_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f726,f418]) ).

fof(f751,plain,
    ( ~ sQ25_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f750]) ).

fof(f759,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | gt(plus(n1,n1),n1) ),
    inference(forward_demodulation,[status(thm)],[f479,f476]) ).

fof(f769,plain,
    ! [X0] :
      ( ~ gt(n1,n0)
      | ~ gt(minus(n1,n1),X0)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f536,f96]) ).

fof(f770,plain,
    ! [X0] :
      ( n1 = n0
      | ~ gt(n0,X0)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f536,f111]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( n1 = X1
      | gt(X1,n1)
      | ~ gt(X1,X0)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f536,f107]) ).

fof(f779,definition,
    ! [X0] :
      ( sQ29_spl
    <=> ( ~ gt(minus(n1,n1),X0)
        | X0 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f782,plain,
    ( ~ sQ2_spl
    | sQ29_spl ),
    inference(split_clause,[status(thm)],[f769,f779,f356]) ).

fof(f783,definition,
    ! [X0] :
      ( sQ30_spl
    <=> ( ~ gt(n0,X0)
        | X0 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f786,plain,
    ( sQ3_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f770,f783,f359]) ).

fof(f791,plain,
    ( ~ gt(n1,n0)
    | plus(minus(n1,n1),n1) = n1 ),
    inference(resolution,[status(thm)],[f589,f96]) ).

fof(f796,plain,
    ! [X0] :
      ( n1 = X0
      | gt(X0,n1)
      | plus(X0,n1) = n1 ),
    inference(resolution,[status(thm)],[f589,f107]) ).

fof(f797,definition,
    ( sQ31_spl
  <=> plus(n1,n1) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f798,plain,
    ( ~ sQ31_spl
    | plus(n1,n1) = n1 ),
    inference(component_clause,[status(thm)],[f797]) ).

fof(f801,definition,
    ( sQ32_spl
  <=> plus(minus(n1,n1),n1) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f804,plain,
    ( ~ sQ2_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f791,f801,f356]) ).

fof(f808,definition,
    ( sQ33_spl
  <=> minus(plus(minus(n1,n0),n0),n0) = minus(n1,n0) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f811,definition,
    ( sQ34_spl
  <=> def_10(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f812,plain,
    ( ~ sQ34_spl
    | def_10(n0,n1) ),
    inference(component_clause,[status(thm)],[f811]) ).

fof(f827,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(minus(X0,n1),X0) ),
    inference(resolution,[status(thm)],[f392,f111]) ).

fof(f838,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | ~ gt(minus(X0,n1),X1)
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f827,f109]) ).

fof(f841,plain,
    ( n1 = n0
    | ~ gt(n0,n1) ),
    inference(paramodulation,[status(thm)],[f408,f827]) ).

fof(f843,definition,
    ( sQ35_spl
  <=> n1 = minus(n1,n1) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f844,plain,
    ( ~ sQ35_spl
    | n1 = minus(n1,n1) ),
    inference(component_clause,[status(thm)],[f843]) ).

fof(f848,definition,
    ( sQ36_spl
  <=> gt(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f851,plain,
    ( sQ3_spl
    | ~ sQ36_spl ),
    inference(split_clause,[status(thm)],[f841,f848,f359]) ).

fof(f853,plain,
    ! [X0,X1] :
      ( plus(X1,n1) = X0
      | ~ gt(X0,X1)
      | ~ gt(n1,X0) ),
    inference(resolution,[status(thm)],[f546,f110]) ).

fof(f883,plain,
    ! [X0] :
      ( X0 = n0
      | gt(X0,n1)
      | ~ gt(y_27(X0),n0) ),
    inference(paramodulation,[status(thm)],[f112,f326]) ).

fof(f887,plain,
    ! [X0] :
      ( ~ gt(X0,n0)
      | ~ gt(n1,X0)
      | n1 = X0 ),
    inference(resolution,[status(thm)],[f414,f326]) ).

fof(f913,plain,
    ( ~ sQ13_spl
    | level(plus(x_139,n1)) = n1
    | plus(minus(level(plus(x_139,n1)),n1),n1) = level(plus(x_139,n1)) ),
    inference(resolution,[status(thm)],[f607,f505]) ).

fof(f930,definition,
    ( sQ38_spl
  <=> plus(minus(level(plus(x_139,n1)),n1),n1) = level(plus(x_139,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f933,plain,
    ( ~ sQ13_spl
    | sQ21_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f913,f930,f650,f478]) ).

fof(f935,plain,
    ( ~ sQ13_spl
    | ~ sQ21_spl
    | gt(n1,n1) ),
    inference(backward_demodulation,[status(thm)],[f651,f730]) ).

fof(f940,plain,
    ( ~ sQ13_spl
    | ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f935,f113]) ).

fof(f941,plain,
    ( ~ sQ13_spl
    | ~ sQ21_spl ),
    inference(contradiction_clause,[status(thm)],[f940]) ).

fof(f954,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | minus(plus(n1,n1),n1) = n1 ),
    inference(resolution,[status(thm)],[f400,f759]) ).

fof(f955,plain,
    ! [X0] :
      ( ~ gt(X0,n0)
      | minus(plus(X0,n1),n1) = X0 ),
    inference(resolution,[status(thm)],[f400,f326]) ).

fof(f964,plain,
    ( ~ gt(n1,n0)
    | minus(plus(minus(n1,n0),n0),n0) = minus(n1,n0) ),
    inference(paramodulation,[status(thm)],[f597,f400]) ).

fof(f970,plain,
    ( ~ sQ2_spl
    | sQ33_spl ),
    inference(split_clause,[status(thm)],[f964,f808,f356]) ).

fof(f973,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | plus(n1,n1) = n0
    | ~ gt(n1,plus(n1,n1)) ),
    inference(paramodulation,[status(thm)],[f954,f827]) ).

fof(f974,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | gt(plus(n1,n1),n1)
    | ~ gt(plus(n1,n1),n0) ),
    inference(paramodulation,[status(thm)],[f954,f96]) ).

fof(f975,definition,
    ( sQ39_spl
  <=> gt(n1,plus(n1,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f978,definition,
    ( sQ40_spl
  <=> plus(n1,n1) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f979,plain,
    ( ~ sQ40_spl
    | plus(n1,n1) = n0 ),
    inference(component_clause,[status(thm)],[f978]) ).

fof(f981,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | sQ40_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f973,f975,f978,f478,f475]) ).

fof(f982,definition,
    ( sQ41_spl
  <=> gt(plus(n1,n1),n0) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f984,plain,
    ( sQ41_spl
    | ~ gt(plus(n1,n1),n0) ),
    inference(component_clause,[status(thm)],[f982]) ).

fof(f985,definition,
    ( sQ42_spl
  <=> gt(plus(n1,n1),n1) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f988,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | sQ42_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f974,f982,f985,f478,f475]) ).

fof(f989,plain,
    ( sQ41_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f984,f95]) ).

fof(f990,plain,
    sQ41_spl,
    inference(contradiction_clause,[status(thm)],[f989]) ).

fof(f993,plain,
    ( sQ20_spl
    | level(plus(x_139,n1)) = plus(n1,n1)
    | plus(minus(level(plus(x_139,n1)),plus(n1,n1)),plus(n1,n1)) = level(plus(x_139,n1)) ),
    inference(resolution,[status(thm)],[f649,f607]) ).

fof(f994,plain,
    ( sQ20_spl
    | level(plus(x_139,n1)) = plus(n1,n1)
    | ~ gt(plus(plus(n1,n1),n1),level(plus(x_139,n1))) ),
    inference(resolution,[status(thm)],[f649,f105]) ).

fof(f997,plain,
    ( sQ20_spl
    | plus(n1,n1) = level(plus(x_139,n1))
    | gt(level(plus(x_139,n1)),plus(n1,n1)) ),
    inference(resolution,[status(thm)],[f649,f107]) ).

fof(f998,definition,
    ( sQ43_spl
  <=> plus(minus(level(plus(x_139,n1)),plus(n1,n1)),plus(n1,n1)) = level(plus(x_139,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f1001,definition,
    ( sQ44_spl
  <=> level(plus(x_139,n1)) = plus(n1,n1) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f1002,plain,
    ( ~ sQ44_spl
    | level(plus(x_139,n1)) = plus(n1,n1) ),
    inference(component_clause,[status(thm)],[f1001]) ).

fof(f1004,plain,
    ( sQ20_spl
    | sQ44_spl
    | sQ43_spl ),
    inference(split_clause,[status(thm)],[f993,f998,f1001,f647]) ).

fof(f1005,definition,
    ( sQ45_spl
  <=> gt(plus(plus(n1,n1),n1),level(plus(x_139,n1))) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f1008,plain,
    ( sQ20_spl
    | sQ44_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f994,f1005,f1001,f647]) ).

fof(f1009,definition,
    ( sQ46_spl
  <=> gt(level(plus(x_139,n1)),plus(n1,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f1010,plain,
    ( ~ sQ46_spl
    | gt(level(plus(x_139,n1)),plus(n1,n1)) ),
    inference(component_clause,[status(thm)],[f1009]) ).

fof(f1012,plain,
    ( sQ20_spl
    | sQ44_spl
    | sQ46_spl ),
    inference(split_clause,[status(thm)],[f997,f1009,f1001,f647]) ).

fof(f1045,definition,
    ( sQ47_spl
  <=> minus(plus(n1,n1),n1) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f1046,plain,
    ( ~ sQ47_spl
    | minus(plus(n1,n1),n1) = n0 ),
    inference(component_clause,[status(thm)],[f1045]) ).

fof(f1115,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ sQ13_spl
      | ~ gt(X0,plus(n1,n1))
      | ~ gt(n1,X0)
      | plus(n1,n1) = n0 ),
    inference(paramodulation,[status(thm)],[f954,f838]) ).

fof(f1116,plain,
    ! [X0] :
      ( ~ gt(X0,n1)
      | ~ gt(n0,X0)
      | n1 = n0 ),
    inference(paramodulation,[status(thm)],[f408,f838]) ).

fof(f1117,definition,
    ! [X0] :
      ( sQ50_spl
    <=> ( ~ gt(X0,plus(n1,n1))
        | ~ gt(n1,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f1120,plain,
    ( ~ sQ12_spl
    | ~ sQ13_spl
    | sQ50_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f1115,f978,f1117,f478,f475]) ).

fof(f1121,definition,
    ! [X0] :
      ( sQ51_spl
    <=> ( ~ gt(X0,n1)
        | ~ gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f1124,plain,
    ( sQ51_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1116,f359,f1121]) ).

fof(f1125,plain,
    ( ~ sQ40_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f979,f94]) ).

fof(f1126,plain,
    ~ sQ40_spl,
    inference(contradiction_clause,[status(thm)],[f1125]) ).

fof(f1132,plain,
    ! [X0] :
      ( ~ gt(n1,n0)
      | plus(X0,n1) = minus(n1,n1)
      | ~ gt(minus(n1,n1),X0) ),
    inference(resolution,[status(thm)],[f853,f96]) ).

fof(f1133,plain,
    ! [X0] :
      ( n1 = n0
      | plus(X0,n1) = n0
      | ~ gt(n0,X0) ),
    inference(resolution,[status(thm)],[f853,f111]) ).

fof(f1145,definition,
    ! [X0] :
      ( sQ53_spl
    <=> ( plus(X0,n1) = minus(n1,n1)
        | ~ gt(minus(n1,n1),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f1148,plain,
    ( ~ sQ2_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f1132,f1145,f356]) ).

fof(f1149,definition,
    ! [X0] :
      ( sQ54_spl
    <=> ( plus(X0,n1) = n0
        | ~ gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f1152,plain,
    ( sQ3_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f1133,f1149,f359]) ).

fof(f1155,plain,
    ! [X0] :
      ( y_27(X0) = n0
      | X0 = n0
      | gt(X0,n1) ),
    inference(resolution,[status(thm)],[f883,f111]) ).

fof(f1167,plain,
    ! [X0] :
      ( minus(plus(X0,n1),n1) = X0
      | y_27(plus(X0,n1)) = n0
      | plus(X0,n1) = n0 ),
    inference(resolution,[status(thm)],[f1155,f400]) ).

fof(f1182,definition,
    ( sQ55_spl
  <=> y_27(plus(n1,n1)) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f1183,plain,
    ( ~ sQ55_spl
    | y_27(plus(n1,n1)) = n0 ),
    inference(component_clause,[status(thm)],[f1182]) ).

fof(f1187,plain,
    ! [X0] :
      ( minus(plus(X0,n1),n1) = X0
      | X0 = n0
      | plus(X0,n1) = n0 ),
    inference(forward_demodulation,[status(thm)],[f568,f1167]) ).

fof(f1188,plain,
    ! [X0] :
      ( minus(plus(X0,n1),n1) = X0
      | X0 = n0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1187,f94]) ).

fof(f1209,plain,
    ! [X0] :
      ( X0 = n0
      | plus(X0,n1) = n0
      | ~ gt(X0,plus(X0,n1)) ),
    inference(paramodulation,[status(thm)],[f1188,f827]) ).

fof(f1210,plain,
    ! [X0] :
      ( X0 = n0
      | gt(plus(X0,n1),X0)
      | ~ gt(plus(X0,n1),n0) ),
    inference(paramodulation,[status(thm)],[f1188,f96]) ).

fof(f1215,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(X0,plus(X0,n1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1209,f94]) ).

fof(f1216,plain,
    ! [X0] :
      ( X0 = n0
      | gt(plus(X0,n1),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1210,f95]) ).

fof(f1217,plain,
    ! [X0] :
      ( ~ gt(X0,plus(X0,n1))
      | plus(X0,n1) = n0 ),
    inference(resolution,[status(thm)],[f1215,f103]) ).

fof(f1226,plain,
    ! [X0] : ~ gt(X0,plus(X0,n1)),
    inference(forward_subsumption_resolution,[status(thm)],[f1217,f94]) ).

fof(f1232,plain,
    ! [X0,X1] :
      ( ~ gt(X1,plus(X0,n1))
      | ~ gt(X0,X1) ),
    inference(resolution,[status(thm)],[f1226,f109]) ).

fof(f1234,plain,
    ! [X0] :
      ( X0 = plus(X0,n1)
      | gt(plus(X0,n1),X0) ),
    inference(resolution,[status(thm)],[f1226,f107]) ).

fof(f1235,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(y_27(X0),X0) ),
    inference(paramodulation,[status(thm)],[f112,f1226]) ).

fof(f1245,plain,
    ( n1 = y_27(n1)
    | plus(y_27(n1),n1) = n1
    | n1 = n0 ),
    inference(resolution,[status(thm)],[f1235,f796]) ).

fof(f1246,plain,
    ! [X0] :
      ( n1 = y_27(n1)
      | ~ gt(y_27(n1),X0)
      | X0 = n0
      | n1 = n0 ),
    inference(resolution,[status(thm)],[f1235,f774]) ).

fof(f1253,plain,
    ! [X0] :
      ( y_27(X0) = X0
      | gt(X0,y_27(X0))
      | X0 = n0 ),
    inference(resolution,[status(thm)],[f1235,f107]) ).

fof(f1262,definition,
    ( sQ59_spl
  <=> plus(y_27(n1),n1) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f1265,definition,
    ( sQ60_spl
  <=> n1 = y_27(n1) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f1266,plain,
    ( ~ sQ60_spl
    | n1 = y_27(n1) ),
    inference(component_clause,[status(thm)],[f1265]) ).

fof(f1268,plain,
    ( sQ60_spl
    | sQ59_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1245,f359,f1262,f1265]) ).

fof(f1269,definition,
    ! [X0] :
      ( sQ61_spl
    <=> ( ~ gt(y_27(n1),X0)
        | X0 = n0 ) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f1272,plain,
    ( sQ60_spl
    | sQ61_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1246,f359,f1269,f1265]) ).

fof(f1276,plain,
    ( ~ sQ60_spl
    | n0 = n1 ),
    inference(backward_demodulation,[status(thm)],[f1266,f572]) ).

fof(f1277,plain,
    ( ~ sQ60_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1276,f359,f1265]) ).

fof(f1289,plain,
    ( minus(plus(n1,n1),n1) = n1
    | n1 = n0 ),
    inference(resolution,[status(thm)],[f1216,f400]) ).

fof(f1298,plain,
    ! [X0] :
      ( X0 = n0
      | y_27(X0) = n0
      | gt(X0,y_27(X0)) ),
    inference(paramodulation,[status(thm)],[f112,f1216]) ).

fof(f1301,plain,
    ( sQ26_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1289,f359,f713]) ).

fof(f1307,definition,
    ( sQ63_spl
  <=> gt(minus(plus(n0,n1),n1),plus(n0,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f1313,plain,
    ! [X0] :
      ( plus(X0,n1) = n0
      | ~ gt(X0,plus(plus(X0,n1),n1)) ),
    inference(resolution,[status(thm)],[f1232,f1216]) ).

fof(f1322,plain,
    ! [X0] : ~ gt(X0,plus(plus(X0,n1),n1)),
    inference(forward_subsumption_resolution,[status(thm)],[f1313,f94]) ).

fof(f1330,plain,
    ! [X0] :
      ( X0 = n0
      | ~ gt(y_27(X0),plus(X0,n1)) ),
    inference(paramodulation,[status(thm)],[f112,f1322]) ).

fof(f1351,plain,
    ! [X0] :
      ( plus(X0,n1) = y_27(n1)
      | ~ gt(y_27(n1),X0)
      | y_27(n1) = n1
      | n1 = n0 ),
    inference(resolution,[status(thm)],[f1253,f853]) ).

fof(f1362,definition,
    ( sQ64_spl
  <=> y_27(plus(n1,n1)) = plus(n1,n1) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f1363,plain,
    ( ~ sQ64_spl
    | y_27(plus(n1,n1)) = plus(n1,n1) ),
    inference(component_clause,[status(thm)],[f1362]) ).

fof(f1365,definition,
    ( sQ65_spl
  <=> y_27(plus(n1,n1)) = n1 ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f1370,definition,
    ! [X0] :
      ( sQ66_spl
    <=> ( plus(X0,n1) = y_27(n1)
        | ~ gt(y_27(n1),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f1373,plain,
    ( sQ66_spl
    | sQ60_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1351,f359,f1265,f1370]) ).

fof(f1382,plain,
    ( ~ sQ35_spl
    | n1 = n0 ),
    inference(forward_demodulation,[status(thm)],[f408,f844]) ).

fof(f1383,plain,
    ( ~ sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1382,f310]) ).

fof(f1384,plain,
    ~ sQ35_spl,
    inference(contradiction_clause,[status(thm)],[f1383]) ).

fof(f1385,plain,
    ( ~ sQ55_spl
    | n1 = n0 ),
    inference(forward_demodulation,[status(thm)],[f568,f1183]) ).

fof(f1386,plain,
    ( ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1385,f310]) ).

fof(f1387,plain,
    ~ sQ55_spl,
    inference(contradiction_clause,[status(thm)],[f1386]) ).

fof(f1391,plain,
    ( ~ sQ64_spl
    | n1 = plus(n1,n1) ),
    inference(forward_demodulation,[status(thm)],[f568,f1363]) ).

fof(f1402,plain,
    ( n1 = n0
    | ~ gt(n0,plus(n1,n1)) ),
    inference(paramodulation,[status(thm)],[f572,f1330]) ).

fof(f1406,definition,
    ( sQ67_spl
  <=> gt(n0,plus(n1,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f1409,plain,
    ( sQ3_spl
    | ~ sQ67_spl ),
    inference(split_clause,[status(thm)],[f1402,f1406,f359]) ).

fof(f1420,plain,
    ( gt(plus(n0,n1),n1)
    | n1 = plus(n0,n1)
    | n0 = plus(n0,n1) ),
    inference(resolution,[status(thm)],[f1234,f596]) ).

fof(f1421,plain,
    ( ~ gt(minus(plus(n0,n1),n1),plus(n0,n1))
    | n0 = plus(n0,n1) ),
    inference(resolution,[status(thm)],[f1234,f392]) ).

fof(f1430,definition,
    ( sQ69_spl
  <=> n0 = plus(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f1431,plain,
    ( ~ sQ69_spl
    | n0 = plus(n0,n1) ),
    inference(component_clause,[status(thm)],[f1430]) ).

fof(f1434,plain,
    ( sQ10_spl
    | sQ17_spl
    | sQ69_spl ),
    inference(split_clause,[status(thm)],[f1420,f1430,f575,f423]) ).

fof(f1435,plain,
    ( ~ sQ63_spl
    | sQ69_spl ),
    inference(split_clause,[status(thm)],[f1421,f1430,f1307]) ).

fof(f1437,plain,
    ( ~ sQ69_spl
    | n0 = n1 ),
    inference(forward_demodulation,[status(thm)],[f115,f1431]) ).

fof(f1438,plain,
    ( ~ sQ69_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1437,f310]) ).

fof(f1439,plain,
    ~ sQ69_spl,
    inference(contradiction_clause,[status(thm)],[f1438]) ).

fof(f1445,plain,
    ( y_27(plus(n1,n1)) = n1
    | y_27(plus(n1,n1)) = n0
    | plus(n1,n1) = n0
    | y_27(plus(n1,n1)) = n0 ),
    inference(resolution,[status(thm)],[f1298,f535]) ).

fof(f1459,plain,
    ( sQ65_spl
    | sQ40_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f1445,f1182,f978,f1365]) ).

fof(f1468,plain,
    minus(plus(n1,n1),n1) = n1,
    inference(resolution,[status(thm)],[f955,f314]) ).

fof(f1470,plain,
    ( n0 = plus(n0,n1)
    | minus(plus(plus(n0,n1),n1),n1) = plus(n0,n1) ),
    inference(resolution,[status(thm)],[f955,f1234]) ).

fof(f1478,definition,
    ( sQ70_spl
  <=> minus(plus(plus(n0,n1),n1),n1) = plus(n0,n1) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f1481,plain,
    ( sQ69_spl
    | sQ70_spl ),
    inference(split_clause,[status(thm)],[f1470,f1478,f1430]) ).

fof(f1532,definition,
    ( sQ78_spl
  <=> p_Rd(x_139) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f1533,plain,
    ( ~ sQ78_spl
    | p_Rd(x_139) ),
    inference(component_clause,[status(thm)],[f1532]) ).

fof(f1957,definition,
    ( sQ123_spl
  <=> gt(plus(level(n1),n1),n0) ),
    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).

fof(f1959,plain,
    ( sQ123_spl
    | ~ gt(plus(level(n1),n1),n0) ),
    inference(component_clause,[status(thm)],[f1957]) ).

fof(f1982,plain,
    ( sQ123_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1959,f95]) ).

fof(f1983,plain,
    sQ123_spl,
    inference(contradiction_clause,[status(thm)],[f1982]) ).

fof(f2062,plain,
    ( ~ sQ46_spl
    | ~ sQ44_spl
    | gt(plus(n1,n1),plus(n1,n1)) ),
    inference(forward_demodulation,[status(thm)],[f1002,f1010]) ).

fof(f2063,plain,
    ( ~ sQ46_spl
    | ~ sQ44_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2062,f113]) ).

fof(f2064,plain,
    ( ~ sQ46_spl
    | ~ sQ44_spl ),
    inference(contradiction_clause,[status(thm)],[f2063]) ).

fof(f2071,plain,
    ( ~ sQ27_spl
    | ~ sQ13_spl
    | def_10(n1,n1) ),
    inference(forward_demodulation,[status(thm)],[f479,f717]) ).

fof(f2072,plain,
    ( ~ sQ27_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2071,f194]) ).

fof(f2073,plain,
    ( ~ sQ27_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2072]) ).

fof(f2075,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | gt(n1,level(x_139)) ),
    inference(forward_demodulation,[status(thm)],[f479,f318]) ).

fof(f2078,plain,
    ( ~ sQ13_spl
    | ~ gt(plus(level(x_139),n1),plus(n1,n1)) ),
    inference(forward_demodulation,[status(thm)],[f479,f327]) ).

fof(f2091,plain,
    ( ~ sQ78_spl
    | level(plus(x_139,n1)) = minus(level(x_139),n1)
    | ~ gt(level(x_139),n0)
    | p_Wr(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f1533,f262]) ).

fof(f2092,plain,
    ( ~ sQ78_spl
    | level(plus(x_139,n1)) = plus(level(x_139),n1)
    | gt(level(x_139),n0)
    | ~ p_Wr(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f1533,f242]) ).

fof(f2093,plain,
    ( ~ sQ78_spl
    | level(plus(x_139,n1)) = level(x_139)
    | ~ gt(level(x_139),n0)
    | ~ p_Wr(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f1533,f232]) ).

fof(f2095,definition,
    ( sQ128_spl
  <=> gt(level(x_139),n0) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f2096,plain,
    ( ~ sQ128_spl
    | gt(level(x_139),n0) ),
    inference(component_clause,[status(thm)],[f2095]) ).

fof(f2097,plain,
    ( sQ128_spl
    | ~ gt(level(x_139),n0) ),
    inference(component_clause,[status(thm)],[f2095]) ).

fof(f2106,definition,
    ( sQ131_spl
  <=> p_Reset(x_139) ),
    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).

fof(f2107,plain,
    ( ~ sQ131_spl
    | p_Reset(x_139) ),
    inference(component_clause,[status(thm)],[f2106]) ).

fof(f2108,plain,
    ( sQ131_spl
    | ~ p_Reset(x_139) ),
    inference(component_clause,[status(thm)],[f2106]) ).

fof(f2114,definition,
    ( sQ133_spl
  <=> p_Wr(x_139) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f2115,plain,
    ( ~ sQ133_spl
    | p_Wr(x_139) ),
    inference(component_clause,[status(thm)],[f2114]) ).

fof(f2116,plain,
    ( sQ133_spl
    | ~ p_Wr(x_139) ),
    inference(component_clause,[status(thm)],[f2114]) ).

fof(f2130,definition,
    ( sQ137_spl
  <=> level(plus(x_139,n1)) = minus(level(x_139),n1) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f2131,plain,
    ( ~ sQ137_spl
    | level(plus(x_139,n1)) = minus(level(x_139),n1) ),
    inference(component_clause,[status(thm)],[f2130]) ).

fof(f2133,plain,
    ( ~ sQ78_spl
    | sQ137_spl
    | ~ sQ128_spl
    | sQ133_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f2091,f2106,f2114,f2095,f2130,f1532]) ).

fof(f2134,definition,
    ( sQ138_spl
  <=> level(plus(x_139,n1)) = plus(level(x_139),n1) ),
    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).

fof(f2135,plain,
    ( ~ sQ138_spl
    | level(plus(x_139,n1)) = plus(level(x_139),n1) ),
    inference(component_clause,[status(thm)],[f2134]) ).

fof(f2137,plain,
    ( ~ sQ78_spl
    | sQ138_spl
    | sQ128_spl
    | ~ sQ133_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f2092,f2106,f2114,f2095,f2134,f1532]) ).

fof(f2138,definition,
    ( sQ139_spl
  <=> level(plus(x_139,n1)) = level(x_139) ),
    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).

fof(f2139,plain,
    ( ~ sQ139_spl
    | level(plus(x_139,n1)) = level(x_139) ),
    inference(component_clause,[status(thm)],[f2138]) ).

fof(f2141,plain,
    ( ~ sQ78_spl
    | sQ139_spl
    | ~ sQ128_spl
    | ~ sQ133_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f2093,f2106,f2114,f2095,f2138,f1532]) ).

fof(f2189,plain,
    ( ~ sQ46_spl
    | ~ sQ138_spl
    | gt(plus(level(x_139),n1),plus(n1,n1)) ),
    inference(forward_demodulation,[status(thm)],[f2135,f1010]) ).

fof(f2190,plain,
    ( ~ sQ46_spl
    | ~ sQ138_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2189,f2078]) ).

fof(f2191,plain,
    ( ~ sQ46_spl
    | ~ sQ138_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2190]) ).

fof(f2211,plain,
    ( ~ sQ131_spl
    | level(plus(x_139,n1)) = n0 ),
    inference(resolution,[status(thm)],[f2107,f199]) ).

fof(f2296,plain,
    ( ~ sQ13_spl
    | sQ131_spl
    | level(plus(x_139,n1)) = level(x_139)
    | gt(n1,level(x_139))
    | p_Rd(x_139) ),
    inference(resolution,[status(thm)],[f2108,f502]) ).

fof(f2301,definition,
    ( sQ143_spl
  <=> gt(n1,level(x_139)) ),
    introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).

fof(f2302,plain,
    ( ~ sQ143_spl
    | gt(n1,level(x_139)) ),
    inference(component_clause,[status(thm)],[f2301]) ).

fof(f2304,plain,
    ( ~ sQ13_spl
    | sQ131_spl
    | sQ139_spl
    | sQ143_spl
    | sQ78_spl ),
    inference(split_clause,[status(thm)],[f2296,f1532,f2301,f2138,f2106,f478]) ).

fof(f2368,plain,
    ( ~ sQ0_spl
    | ~ sQ13_spl
    | level(x_139) = n0 ),
    inference(resolution,[status(thm)],[f2075,f428]) ).

fof(f2381,plain,
    ( ~ sQ128_spl
    | ~ sQ0_spl
    | ~ sQ13_spl
    | gt(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f2368,f2096]) ).

fof(f2390,plain,
    ( ~ sQ128_spl
    | ~ sQ0_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2381,f417]) ).

fof(f2391,plain,
    ( ~ sQ128_spl
    | ~ sQ0_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2390]) ).

fof(f2400,plain,
    ( ~ sQ143_spl
    | ~ sQ1_spl
    | ~ sQ13_spl
    | gt(n1,n1) ),
    inference(forward_demodulation,[status(thm)],[f506,f2302]) ).

fof(f2401,plain,
    ( ~ sQ143_spl
    | ~ sQ1_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2400,f113]) ).

fof(f2402,plain,
    ( ~ sQ143_spl
    | ~ sQ1_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f2401]) ).

fof(f2658,plain,
    ! [X0] :
      ( n1 = n0
      | gt(plus(X0,n1),n1)
      | ~ gt(X0,n0) ),
    inference(paramodulation,[status(thm)],[f572,f330]) ).

fof(f2662,definition,
    ! [X0] :
      ( sQ161_spl
    <=> ( gt(plus(X0,n1),n1)
        | ~ gt(X0,n0) ) ),
    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).

fof(f2665,plain,
    ( sQ3_spl
    | sQ161_spl ),
    inference(split_clause,[status(thm)],[f2658,f2662,f359]) ).

fof(f2680,plain,
    ! [X0] :
      ( n1 = n0
      | gt(n1,plus(X0,n1))
      | ~ gt(n0,X0) ),
    inference(paramodulation,[status(thm)],[f572,f331]) ).

fof(f2683,definition,
    ! [X0] :
      ( sQ162_spl
    <=> ( gt(n1,plus(X0,n1))
        | ~ gt(n0,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).

fof(f2686,plain,
    ( sQ3_spl
    | sQ162_spl ),
    inference(split_clause,[status(thm)],[f2680,f2683,f359]) ).

fof(f2687,plain,
    ( sQ133_spl
    | level(plus(x_139,n1)) = level(x_139)
    | gt(level(x_139),n0)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f2116,f289]) ).

fof(f2688,plain,
    ( sQ133_spl
    | level(plus(x_139,n1)) = level(x_139)
    | p_Rd(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f2116,f290]) ).

fof(f2690,plain,
    ( sQ133_spl
    | sQ139_spl
    | sQ128_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f2687,f2106,f2095,f2138,f2114]) ).

fof(f2691,plain,
    ( sQ133_spl
    | sQ139_spl
    | sQ78_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f2688,f2106,f1532,f2138,f2114]) ).

fof(f2819,plain,
    ( ~ sQ26_spl
    | ~ sQ31_spl
    | minus(n1,n1) = n1 ),
    inference(forward_demodulation,[status(thm)],[f798,f714]) ).

fof(f2820,plain,
    ( ~ sQ26_spl
    | ~ sQ31_spl
    | n0 = n1 ),
    inference(forward_demodulation,[status(thm)],[f408,f2819]) ).

fof(f2821,plain,
    ( ~ sQ26_spl
    | ~ sQ31_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2820,f310]) ).

fof(f2822,plain,
    ( ~ sQ26_spl
    | ~ sQ31_spl ),
    inference(contradiction_clause,[status(thm)],[f2821]) ).

fof(f2840,plain,
    ( ~ sQ20_spl
    | ~ sQ24_spl
    | gt(fifo_length,level(plus(x_139,n1))) ),
    inference(backward_demodulation,[status(thm)],[f684,f648]) ).

fof(f2907,plain,
    ( ~ sQ20_spl
    | ~ sQ24_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2840,f345]) ).

fof(f2908,plain,
    ( ~ sQ20_spl
    | ~ sQ24_spl ),
    inference(contradiction_clause,[status(thm)],[f2907]) ).

fof(f2965,plain,
    ( ~ sQ44_spl
    | gt(plus(n1,n1),fifo_length) ),
    inference(backward_demodulation,[status(thm)],[f1002,f190]) ).

fof(f2977,plain,
    ( ~ sQ44_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f2965,f475,f1001]) ).

fof(f2987,plain,
    ( ~ sQ131_spl
    | ~ gt(fifo_length,n0) ),
    inference(forward_demodulation,[status(thm)],[f2211,f345]) ).

fof(f2988,plain,
    ( ~ sQ131_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2987,f191]) ).

fof(f2989,plain,
    ~ sQ131_spl,
    inference(contradiction_clause,[status(thm)],[f2988]) ).

fof(f3082,plain,
    ( ~ gt(n1,fifo_length)
    | n1 = fifo_length ),
    inference(resolution,[status(thm)],[f191,f887]) ).

fof(f3083,plain,
    ( gt(fifo_length,n1)
    | n1 = fifo_length ),
    inference(resolution,[status(thm)],[f191,f596]) ).

fof(f3084,plain,
    ~ gt(minus(fifo_length,n1),fifo_length),
    inference(resolution,[status(thm)],[f191,f392]) ).

fof(f3089,definition,
    ( sQ178_spl
  <=> gt(n1,fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).

fof(f3092,plain,
    ( ~ sQ178_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f3082,f478,f3089]) ).

fof(f3093,plain,
    ( sQ14_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f3083,f478,f482]) ).

fof(f3171,plain,
    ( ~ sQ34_spl
    | ~ gt(n1,n0) ),
    inference(resolution,[status(thm)],[f812,f101]) ).

fof(f3172,plain,
    ( ~ sQ34_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3171,f314]) ).

fof(f3173,plain,
    ~ sQ34_spl,
    inference(contradiction_clause,[status(thm)],[f3172]) ).

fof(f3174,plain,
    ( sQ9_spl
    | fifo_length = n1
    | plus(minus(fifo_length,n1),n1) = fifo_length ),
    inference(resolution,[status(thm)],[f470,f607]) ).

fof(f3179,definition,
    ( sQ184_spl
  <=> plus(minus(fifo_length,n1),n1) = fifo_length ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f3182,plain,
    ( sQ9_spl
    | sQ13_spl
    | sQ184_spl ),
    inference(split_clause,[status(thm)],[f3174,f3179,f478,f419]) ).

fof(f3333,plain,
    ( ~ sQ1_spl
    | level(plus(x_139,n1)) = level(x_139)
    | gt(fifo_length,fifo_length)
    | p_Rd(x_139)
    | p_Reset(x_139) ),
    inference(paramodulation,[status(thm)],[f321,f288]) ).

fof(f3336,definition,
    ( sQ196_spl
  <=> gt(fifo_length,fifo_length) ),
    introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).

fof(f3337,plain,
    ( ~ sQ196_spl
    | gt(fifo_length,fifo_length) ),
    inference(component_clause,[status(thm)],[f3336]) ).

fof(f3339,plain,
    ( ~ sQ1_spl
    | sQ139_spl
    | sQ196_spl
    | sQ78_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f3333,f2106,f1532,f3336,f2138,f320]) ).

fof(f3340,plain,
    ( ~ sQ196_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3337,f113]) ).

fof(f3341,plain,
    ~ sQ196_spl,
    inference(contradiction_clause,[status(thm)],[f3340]) ).

fof(f3354,plain,
    ( sQ128_spl
    | ~ sQ1_spl
    | ~ gt(fifo_length,n0) ),
    inference(forward_demodulation,[status(thm)],[f321,f2097]) ).

fof(f3355,plain,
    ( sQ128_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3354,f191]) ).

fof(f3356,plain,
    ( sQ128_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f3355]) ).

fof(f3499,plain,
    ( ~ sQ128_spl
    | ~ gt(n1,level(x_139))
    | n1 = level(x_139) ),
    inference(resolution,[status(thm)],[f2096,f887]) ).

fof(f3500,plain,
    ( ~ sQ128_spl
    | gt(level(x_139),n1)
    | n1 = level(x_139) ),
    inference(resolution,[status(thm)],[f2096,f596]) ).

fof(f3506,definition,
    ( sQ212_spl
  <=> n1 = level(x_139) ),
    introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).

fof(f3507,plain,
    ( ~ sQ212_spl
    | n1 = level(x_139) ),
    inference(component_clause,[status(thm)],[f3506]) ).

fof(f3509,plain,
    ( ~ sQ128_spl
    | ~ sQ143_spl
    | sQ212_spl ),
    inference(split_clause,[status(thm)],[f3499,f3506,f2301,f2095]) ).

fof(f3510,definition,
    ( sQ213_spl
  <=> gt(level(x_139),n1) ),
    introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).

fof(f3511,plain,
    ( ~ sQ213_spl
    | gt(level(x_139),n1) ),
    inference(component_clause,[status(thm)],[f3510]) ).

fof(f3513,plain,
    ( ~ sQ128_spl
    | sQ213_spl
    | sQ212_spl ),
    inference(split_clause,[status(thm)],[f3500,f3506,f3510,f2095]) ).

fof(f3525,plain,
    ( ~ sQ213_spl
    | ~ sQ212_spl
    | gt(n1,n1) ),
    inference(forward_demodulation,[status(thm)],[f3507,f3511]) ).

fof(f3526,plain,
    ( ~ sQ213_spl
    | ~ sQ212_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3525,f113]) ).

fof(f3527,plain,
    ( ~ sQ213_spl
    | ~ sQ212_spl ),
    inference(contradiction_clause,[status(thm)],[f3526]) ).

fof(f3811,plain,
    ( ~ sQ64_spl
    | sQ31_spl ),
    inference(split_clause,[status(thm)],[f1391,f797,f1362]) ).

fof(f3812,plain,
    ( ~ sQ47_spl
    | n1 = n0 ),
    inference(forward_demodulation,[status(thm)],[f1468,f1046]) ).

fof(f3813,plain,
    ( ~ sQ47_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3812,f310]) ).

fof(f3814,plain,
    ~ sQ47_spl,
    inference(contradiction_clause,[status(thm)],[f3813]) ).

fof(f3816,plain,
    ( ~ sQ138_spl
    | gt(plus(level(x_139),n1),fifo_length) ),
    inference(backward_demodulation,[status(thm)],[f2135,f190]) ).

fof(f3909,plain,
    ( ~ sQ133_spl
    | level(plus(x_139,n1)) = plus(level(x_139),n1)
    | ~ gt(fifo_length,level(x_139))
    | p_Rd(x_139)
    | p_Reset(x_139) ),
    inference(resolution,[status(thm)],[f204,f2115]) ).

fof(f3920,plain,
    ( ~ sQ133_spl
    | sQ138_spl
    | ~ sQ0_spl
    | sQ78_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f3909,f2106,f1532,f317,f2134,f2114]) ).

fof(f3941,plain,
    ( ~ sQ138_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f3816,f429,f2134]) ).

fof(f3966,plain,
    ( ~ sQ139_spl
    | gt(level(x_139),fifo_length) ),
    inference(backward_demodulation,[status(thm)],[f2139,f190]) ).

fof(f3977,plain,
    ( ~ sQ139_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3966,f189]) ).

fof(f3978,plain,
    ~ sQ139_spl,
    inference(contradiction_clause,[status(thm)],[f3977]) ).

fof(f3993,plain,
    ( ~ sQ11_spl
    | ~ sQ212_spl
    | gt(plus(n1,n1),fifo_length) ),
    inference(forward_demodulation,[status(thm)],[f3507,f430]) ).

fof(f3994,plain,
    ( ~ sQ11_spl
    | ~ sQ212_spl
    | sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3993,f477]) ).

fof(f3995,plain,
    ( ~ sQ11_spl
    | ~ sQ212_spl
    | sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f3994]) ).

fof(f4004,plain,
    ( ~ sQ137_spl
    | gt(minus(level(x_139),n1),fifo_length) ),
    inference(backward_demodulation,[status(thm)],[f2131,f190]) ).

fof(f4031,plain,
    ( ~ sQ137_spl
    | ~ sQ1_spl
    | gt(minus(fifo_length,n1),fifo_length) ),
    inference(forward_demodulation,[status(thm)],[f321,f4004]) ).

fof(f4032,plain,
    ( ~ sQ137_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4031,f3084]) ).

fof(f4033,plain,
    ( ~ sQ137_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f4032]) ).

fof(f4076,plain,
    ( ~ sQ137_spl
    | ~ gt(fifo_length,level(x_139))
    | level(x_139) = n0 ),
    inference(resolution,[status(thm)],[f4004,f838]) ).

fof(f4081,definition,
    ( sQ239_spl
  <=> level(x_139) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).

fof(f4082,plain,
    ( ~ sQ239_spl
    | level(x_139) = n0 ),
    inference(component_clause,[status(thm)],[f4081]) ).

fof(f4084,plain,
    ( ~ sQ137_spl
    | ~ sQ0_spl
    | sQ239_spl ),
    inference(split_clause,[status(thm)],[f4076,f4081,f317,f2130]) ).

fof(f4092,plain,
    ( ~ sQ128_spl
    | ~ sQ239_spl
    | gt(n0,n0) ),
    inference(backward_demodulation,[status(thm)],[f4082,f2096]) ).

fof(f4122,plain,
    ( ~ sQ128_spl
    | ~ sQ239_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4092,f417]) ).

fof(f4123,plain,
    ( ~ sQ128_spl
    | ~ sQ239_spl ),
    inference(contradiction_clause,[status(thm)],[f4122]) ).

fof(f4124,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f323,f362,f373,f381,f422,f426,f432,f437,f469,f481,f542,f558,f586,f653,f657,f660,f686,f690,f712,f751,f782,f786,f804,f851,f933,f941,f970,f981,f988,f990,f1004,f1008,f1012,f1120,f1124,f1126,f1148,f1152,f1268,f1272,f1277,f1301,f1373,f1384,f1387,f1409,f1434,f1435,f1439,f1459,f1481,f1983,f2064,f2073,f2133,f2137,f2141,f2191,f2304,f2391,f2402,f2665,f2686,f2690,f2691,f2822,f2908,f2977,f2989,f3092,f3093,f3173,f3182,f3339,f3341,f3356,f3509,f3513,f3527,f3811,f3814,f3920,f3941,f3978,f3995,f4033,f4084,f4123]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55  % Computer : n018.cluster.edu
% 0.09/0.55  % Model    : x86_64 x86_64
% 0.09/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55  % Memory   : 8046.5625MB
% 0.09/0.55  % OS       : Linux 6.8.0-71-generic
% 0.09/0.55  % CPULimit : 300
% 0.09/0.55  % WCLimit  : 300
% 0.09/0.55  % DateTime : Sun Sep 20 20:51:13 UTC 2026
% 0.09/0.56  % CPUTime  : 
% 0.09/0.57  % Drodi V4.1.1
% 4.70/1.27  % Refutation found
% 4.70/1.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.70/1.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.70/1.29  % Elapsed time: 0.722091 seconds
% 4.70/1.29  % CPU time: 5.337854 seconds
% 4.70/1.29  % Total memory used: 155.793 MB
% 4.70/1.29  % Net memory used: 144.759 MB
%------------------------------------------------------------------------------