↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV033-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 12:46:03 PM UTC 2026

% Result   : Unsatisfiable 1.26s 0.92s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  101 (  15 unt;  12 def)
%            Number of atoms       :  284 (  53 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  294 ( 111   ~; 171   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X_0] : plus(X_0,n1) != n0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X_1] : gt(plus(X_1,n1),n0),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X_28] : ~ gt(X_28,X_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X_t_37] :
      ( rd_level(plus(X_t_37,n1)) = n0
      | ~ p_Reset(X_t_37) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = rd_level(X_t_42)
      | p_Rd(X_t_42)
      | ~ p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1)
      | ~ gt(minus(fifo_length,n1),rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f57,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = n0
      | gt(minus(fifo_length,n1),rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f74,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = plus(rd_level(X_t_42),n1)
      | ~ gt(minus(fifo_length,n1),rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f75,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = n0
      | gt(minus(fifo_length,n1),rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f77,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = rd_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/sandbox2/benchmark/theBenchmark.p') ).

fof(f81,axiom,
    ! [X_t_42] :
      ( rd_level(plus(X_t_42,n1)) = rd_level(X_t_42)
      | p_Rd(X_t_42)
      | p_Wr(X_t_42)
      | p_Reset(X_t_42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ~ gt(rd_level(t_139),minus(fifo_length,n1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
    file('/export/starexec/sandbox2/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(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(f113,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f124,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | ~ p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f131,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f154,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f155,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f158,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f172,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f173,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f175,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f179,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | p_Rd(X0)
      | p_Wr(X0)
      | p_Reset(X0) ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f189,plain,
    ~ gt(rd_level(t_139),minus(fifo_length,n1)),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f190,plain,
    gt(rd_level(plus(t_139,n1)),minus(fifo_length,n1)),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f208,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | ~ p_Wr(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f155,f124]) ).

fof(f209,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | ~ p_Wr(X0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f158,f131]) ).

fof(f225,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = plus(rd_level(X0),n1)
      | ~ gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f172,f154]) ).

fof(f226,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f208,f227]) ).

fof(f227,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = n0
      | gt(minus(fifo_length,n1),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Wr(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f173,f124]) ).

fof(f229,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | ~ p_Rd(X0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f209]) ).

fof(f233,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | gt(int_level(X0),n0)
      | p_Reset(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f229,f234]) ).

fof(f234,plain,
    ! [X0] :
      ( rd_level(plus(X0,n1)) = rd_level(X0)
      | p_Rd(X0)
      | p_Reset(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f179,f131]) ).

fof(f262,plain,
    ( gt(minus(fifo_length,n1),rd_level(t_139))
    | minus(fifo_length,n1) = rd_level(t_139) ),
    inference(resolution,[status(thm)],[f107,f189]) ).

fof(f264,definition,
    ( sQ0_spl
  <=> minus(fifo_length,n1) = rd_level(t_139) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( ~ sQ0_spl
    | minus(fifo_length,n1) = rd_level(t_139) ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,definition,
    ( sQ1_spl
  <=> gt(minus(fifo_length,n1),rd_level(t_139)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f270,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f262,f264,f267]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | rd_level(plus(X0,n1)) = n0
      | gt(rd_level(t_139),rd_level(X0))
      | ~ gt(int_level(X0),n0)
      | ~ p_Rd(X0) ),
    inference(backward_demodulation,[status(thm)],[f265,f226]) ).

fof(f279,plain,
    ( ~ sQ0_spl
    | rd_level(plus(t_139,n1)) = n0
    | ~ gt(int_level(t_139),n0)
    | ~ p_Rd(t_139) ),
    inference(resolution,[status(thm)],[f272,f113]) ).

fof(f280,definition,
    ( sQ2_spl
  <=> p_Rd(t_139) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f282,plain,
    ( sQ2_spl
    | ~ p_Rd(t_139) ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f283,definition,
    ( sQ3_spl
  <=> gt(int_level(t_139),n0) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f285,plain,
    ( sQ3_spl
    | ~ gt(int_level(t_139),n0) ),
    inference(component_clause,[status(thm)],[f283]) ).

fof(f286,definition,
    ( sQ4_spl
  <=> rd_level(plus(t_139,n1)) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f287,plain,
    ( ~ sQ4_spl
    | rd_level(plus(t_139,n1)) = n0 ),
    inference(component_clause,[status(thm)],[f286]) ).

fof(f288,plain,
    ( sQ4_spl
    | rd_level(plus(t_139,n1)) != n0 ),
    inference(component_clause,[status(thm)],[f286]) ).

fof(f289,plain,
    ( ~ sQ0_spl
    | sQ4_spl
    | ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f279,f280,f283,f286,f264]) ).

fof(f431,plain,
    ( minus(fifo_length,n1) = rd_level(t_139)
    | ~ gt(plus(rd_level(t_139),n1),minus(fifo_length,n1)) ),
    inference(resolution,[status(thm)],[f189,f105]) ).

fof(f433,definition,
    ( sQ28_spl
  <=> gt(plus(rd_level(t_139),n1),minus(fifo_length,n1)) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f435,plain,
    ( sQ28_spl
    | ~ gt(plus(rd_level(t_139),n1),minus(fifo_length,n1)) ),
    inference(component_clause,[status(thm)],[f433]) ).

fof(f436,plain,
    ( sQ0_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f431,f433,f264]) ).

fof(f534,plain,
    ( sQ3_spl
    | rd_level(plus(t_139,n1)) = rd_level(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[f285,f233]) ).

fof(f542,definition,
    ( sQ38_spl
  <=> p_Reset(t_139) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f543,plain,
    ( ~ sQ38_spl
    | p_Reset(t_139) ),
    inference(component_clause,[status(thm)],[f542]) ).

fof(f556,definition,
    ( sQ42_spl
  <=> rd_level(plus(t_139,n1)) = rd_level(t_139) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f557,plain,
    ( ~ sQ42_spl
    | rd_level(plus(t_139,n1)) = rd_level(t_139) ),
    inference(component_clause,[status(thm)],[f556]) ).

fof(f559,plain,
    ( sQ3_spl
    | sQ42_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f534,f542,f556,f283]) ).

fof(f623,plain,
    ( sQ2_spl
    | rd_level(plus(t_139,n1)) = rd_level(t_139)
    | p_Reset(t_139) ),
    inference(resolution,[status(thm)],[f282,f234]) ).

fof(f626,plain,
    ( sQ2_spl
    | sQ42_spl
    | sQ38_spl ),
    inference(split_clause,[status(thm)],[f623,f542,f556,f280]) ).

fof(f636,plain,
    ! [X0] :
      ( ~ gt(X0,minus(fifo_length,n1))
      | ~ gt(rd_level(t_139),X0) ),
    inference(resolution,[status(thm)],[f189,f109]) ).

fof(f1329,plain,
    ~ gt(rd_level(t_139),rd_level(plus(t_139,n1))),
    inference(resolution,[status(thm)],[f636,f190]) ).

fof(f1866,plain,
    ( rd_level(plus(t_139,n1)) = rd_level(t_139)
    | ~ gt(plus(rd_level(t_139),n1),rd_level(plus(t_139,n1))) ),
    inference(resolution,[status(thm)],[f1329,f105]) ).

fof(f1879,definition,
    ( sQ178_spl
  <=> gt(plus(rd_level(t_139),n1),rd_level(plus(t_139,n1))) ),
    introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).

fof(f1881,plain,
    ( sQ178_spl
    | ~ gt(plus(rd_level(t_139),n1),rd_level(plus(t_139,n1))) ),
    inference(component_clause,[status(thm)],[f1879]) ).

fof(f1882,plain,
    ( sQ42_spl
    | ~ sQ178_spl ),
    inference(split_clause,[status(thm)],[f1866,f1879,f556]) ).

fof(f1888,plain,
    ( ~ sQ42_spl
    | gt(rd_level(t_139),minus(fifo_length,n1)) ),
    inference(backward_demodulation,[status(thm)],[f557,f190]) ).

fof(f1966,plain,
    ( ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1888,f189]) ).

fof(f1967,plain,
    ~ sQ42_spl,
    inference(contradiction_clause,[status(thm)],[f1966]) ).

fof(f2196,definition,
    ( sQ198_spl
  <=> plus(plus(rd_level(n0),n1),n1) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).

fof(f2197,plain,
    ( ~ sQ198_spl
    | plus(plus(rd_level(n0),n1),n1) = n0 ),
    inference(component_clause,[status(thm)],[f2196]) ).

fof(f2222,plain,
    ( ~ sQ198_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2197,f94]) ).

fof(f2223,plain,
    ~ sQ198_spl,
    inference(contradiction_clause,[status(thm)],[f2222]) ).

fof(f2847,plain,
    ( sQ4_spl
    | ~ p_Reset(t_139) ),
    inference(resolution,[status(thm)],[f288,f124]) ).

fof(f2851,plain,
    ( sQ4_spl
    | ~ sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2847,f543]) ).

fof(f2852,plain,
    ( sQ4_spl
    | ~ sQ38_spl ),
    inference(contradiction_clause,[status(thm)],[f2851]) ).

fof(f2856,plain,
    ( sQ178_spl
    | ~ sQ4_spl
    | ~ gt(plus(rd_level(t_139),n1),n0) ),
    inference(backward_demodulation,[status(thm)],[f287,f1881]) ).

fof(f2863,plain,
    ( sQ178_spl
    | ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2856,f95]) ).

fof(f2864,plain,
    ( sQ178_spl
    | ~ sQ4_spl ),
    inference(contradiction_clause,[status(thm)],[f2863]) ).

fof(f2868,definition,
    ( sQ221_spl
  <=> plus(t_139,n1) = n0 ),
    introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).

fof(f2869,plain,
    ( ~ sQ221_spl
    | plus(t_139,n1) = n0 ),
    inference(component_clause,[status(thm)],[f2868]) ).

fof(f2874,plain,
    ( ~ sQ221_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2869,f94]) ).

fof(f2875,plain,
    ~ sQ221_spl,
    inference(contradiction_clause,[status(thm)],[f2874]) ).

fof(f2944,plain,
    ( sQ4_spl
    | rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1)
    | ~ gt(minus(fifo_length,n1),rd_level(t_139))
    | ~ gt(int_level(t_139),n0)
    | ~ p_Rd(t_139) ),
    inference(resolution,[status(thm)],[f2847,f225]) ).

fof(f2954,definition,
    ( sQ229_spl
  <=> rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1) ),
    introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).

fof(f2955,plain,
    ( ~ sQ229_spl
    | rd_level(plus(t_139,n1)) = plus(rd_level(t_139),n1) ),
    inference(component_clause,[status(thm)],[f2954]) ).

fof(f2957,plain,
    ( sQ4_spl
    | sQ229_spl
    | ~ sQ1_spl
    | ~ sQ3_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f2944,f280,f283,f267,f2954,f286]) ).

fof(f2960,plain,
    ( ~ sQ229_spl
    | gt(plus(rd_level(t_139),n1),minus(fifo_length,n1)) ),
    inference(backward_demodulation,[status(thm)],[f2955,f190]) ).

fof(f2971,plain,
    ( ~ sQ229_spl
    | sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2960,f435]) ).

fof(f2972,plain,
    ( ~ sQ229_spl
    | sQ28_spl ),
    inference(contradiction_clause,[status(thm)],[f2971]) ).

fof(f2973,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f270,f289,f436,f559,f626,f1882,f1967,f2223,f2852,f2864,f2875,f2957,f2972]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV033-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n026.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 20:51:36 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 1.26/0.92  % Refutation found
% 1.26/0.92  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.26/0.92  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.74/0.96  % Elapsed time: 0.587052 seconds
% 3.74/0.96  % CPU time: 4.186392 seconds
% 3.74/0.96  % Total memory used: 136.637 MB
% 3.74/0.96  % Net memory used: 130.792 MB
%------------------------------------------------------------------------------