TSTP Solution File: SWV102+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:45:59 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  131 (  38 unt;   0 def)
%            Number of atoms       :  338 ( 186 equ)
%            Maximal formula atoms :   27 (   2 avg)
%            Number of connectives :  310 ( 103   ~; 120   |;  63   &)
%                                         (  21 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  22 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [I,U,X,VAL,VAL2] :
      ( ( I != U
        & a_select2(X,U) = VAL )
     => a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,conjecture,
    ( ( a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use )
   => ( a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
      & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use )
     => ( a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
        & a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f64,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f69,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f91,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f233,plain,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f234,plain,
    ! [I,U,X,VAL,VAL2] :
      ( I = U
      | a_select2(X,U) != VAL
      | a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
    inference(pre_NNF_transformation,[status(esa)],[f49]) ).

fof(f235,plain,
    ! [I,U,X,VAL] :
      ( I = U
      | a_select2(X,U) != VAL
      | ! [VAL2] : a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
    inference(miniscoping,[status(esa)],[f234]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X0 = X1
      | a_select2(X2,X1) != X3
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(cnf_transformation,[status(esa)],[f235]) ).

fof(f244,plain,
    ( a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & ( a_select2(sigma_defuse,n0) != use
      | a_select2(sigma_defuse,n1) != use
      | a_select2(sigma_defuse,n2) != use
      | a_select2(sigma_defuse,n3) != use
      | a_select2(sigma_defuse,n4) != use
      | a_select2(sigma_defuse,n5) != use
      | a_select3(u_defuse,n0,n0) != use
      | a_select3(u_defuse,n1,n0) != use
      | a_select3(u_defuse,n2,n0) != use
      | a_select2(xinit_defuse,n3) != use
      | a_select2(xinit_defuse,n4) != use
      | a_select2(xinit_defuse,n5) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
      | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f245,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f246,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f247,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f248,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f249,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f250,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f251,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f252,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f253,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f254,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f255,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f256,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f257,plain,
    ( a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f267,plain,
    gt(n1,n0),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f272,plain,
    gt(n2,n1),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f323,plain,
    ( spl0_0
  <=> a_select2(sigma_defuse,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f325,plain,
    ( a_select2(sigma_defuse,n0) != use
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f323]) ).

fof(f326,plain,
    ( spl0_1
  <=> a_select2(sigma_defuse,n1) = use ),
    introduced(split_symbol_definition) ).

fof(f328,plain,
    ( a_select2(sigma_defuse,n1) != use
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f326]) ).

fof(f329,plain,
    ( spl0_2
  <=> a_select2(sigma_defuse,n2) = use ),
    introduced(split_symbol_definition) ).

fof(f331,plain,
    ( a_select2(sigma_defuse,n2) != use
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f329]) ).

fof(f332,plain,
    ( spl0_3
  <=> a_select2(sigma_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f334,plain,
    ( a_select2(sigma_defuse,n3) != use
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f332]) ).

fof(f335,plain,
    ( spl0_4
  <=> a_select2(sigma_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f337,plain,
    ( a_select2(sigma_defuse,n4) != use
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f335]) ).

fof(f338,plain,
    ( spl0_5
  <=> a_select2(sigma_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f340,plain,
    ( a_select2(sigma_defuse,n5) != use
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f338]) ).

fof(f341,plain,
    ( spl0_6
  <=> a_select3(u_defuse,n0,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f343,plain,
    ( a_select3(u_defuse,n0,n0) != use
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f344,plain,
    ( spl0_7
  <=> a_select3(u_defuse,n1,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f346,plain,
    ( a_select3(u_defuse,n1,n0) != use
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f344]) ).

fof(f347,plain,
    ( spl0_8
  <=> a_select3(u_defuse,n2,n0) = use ),
    introduced(split_symbol_definition) ).

fof(f349,plain,
    ( a_select3(u_defuse,n2,n0) != use
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f347]) ).

fof(f350,plain,
    ( spl0_9
  <=> a_select2(xinit_defuse,n3) = use ),
    introduced(split_symbol_definition) ).

fof(f352,plain,
    ( a_select2(xinit_defuse,n3) != use
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f350]) ).

fof(f353,plain,
    ( spl0_10
  <=> a_select2(xinit_defuse,n4) = use ),
    introduced(split_symbol_definition) ).

fof(f355,plain,
    ( a_select2(xinit_defuse,n4) != use
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f353]) ).

fof(f356,plain,
    ( spl0_11
  <=> a_select2(xinit_defuse,n5) = use ),
    introduced(split_symbol_definition) ).

fof(f358,plain,
    ( a_select2(xinit_defuse,n5) != use
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f359,plain,
    ( spl0_12
  <=> a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use ),
    introduced(split_symbol_definition) ).

fof(f361,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f359]) ).

fof(f362,plain,
    ( spl0_13
  <=> a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use ),
    introduced(split_symbol_definition) ).

fof(f364,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f362]) ).

fof(f365,plain,
    ( spl0_14
  <=> a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ),
    introduced(split_symbol_definition) ).

fof(f367,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f365]) ).

fof(f368,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(split_clause,[status(thm)],[f257,f323,f326,f329,f332,f335,f338,f341,f344,f347,f350,f353,f356,f359,f362,f365]) ).

fof(f370,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | a_select2(tptp_update2(X2,X0,X3),X1) = a_select2(X2,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f236]) ).

fof(f394,plain,
    ( use != use
    | spl0_14 ),
    inference(forward_demodulation,[status(thm)],[f233,f367]) ).

fof(f395,plain,
    ( $false
    | spl0_14 ),
    inference(trivial_equality_resolution,[status(esa)],[f394]) ).

fof(f396,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f395]) ).

fof(f397,plain,
    ( spl0_15
  <=> a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) = use ),
    introduced(split_symbol_definition) ).

fof(f399,plain,
    ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f397]) ).

fof(f400,plain,
    ( spl0_16
  <=> n2 = n1 ),
    introduced(split_symbol_definition) ).

fof(f401,plain,
    ( n2 = n1
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f400]) ).

fof(f403,plain,
    ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use
    | n2 = n1
    | spl0_13 ),
    inference(paramodulation,[status(thm)],[f370,f364]) ).

fof(f404,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f403,f397,f400,f362]) ).

fof(f405,plain,
    ( use != use
    | spl0_15 ),
    inference(forward_demodulation,[status(thm)],[f233,f399]) ).

fof(f406,plain,
    ( $false
    | spl0_15 ),
    inference(trivial_equality_resolution,[status(esa)],[f405]) ).

fof(f407,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f406]) ).

fof(f410,plain,
    ( gt(n1,n1)
    | ~ spl0_16 ),
    inference(backward_demodulation,[status(thm)],[f401,f272]) ).

fof(f411,plain,
    ( $false
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f410,f91]) ).

fof(f412,plain,
    ~ spl0_16,
    inference(contradiction_clause,[status(thm)],[f411]) ).

fof(f413,plain,
    ( spl0_17
  <=> a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) = use ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,plain,
    ( spl0_18
  <=> n2 = n0 ),
    introduced(split_symbol_definition) ).

fof(f417,plain,
    ( n2 = n0
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,plain,
    ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use
    | n2 = n0
    | spl0_12 ),
    inference(paramodulation,[status(thm)],[f370,f361]) ).

fof(f420,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_12 ),
    inference(split_clause,[status(thm)],[f419,f413,f416,f359]) ).

fof(f425,plain,
    ( spl0_19
  <=> a_select2(tptp_update2(rho_defuse,n0,use),n0) = use ),
    introduced(split_symbol_definition) ).

fof(f427,plain,
    ( a_select2(tptp_update2(rho_defuse,n0,use),n0) != use
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f425]) ).

fof(f428,plain,
    ( spl0_20
  <=> n1 = n0 ),
    introduced(split_symbol_definition) ).

fof(f429,plain,
    ( n1 = n0
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( a_select2(tptp_update2(rho_defuse,n0,use),n0) != use
    | n1 = n0
    | spl0_17 ),
    inference(paramodulation,[status(thm)],[f370,f415]) ).

fof(f432,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_17 ),
    inference(split_clause,[status(thm)],[f431,f425,f428,f413]) ).

fof(f433,plain,
    ( use != use
    | spl0_19 ),
    inference(forward_demodulation,[status(thm)],[f233,f427]) ).

fof(f434,plain,
    ( $false
    | spl0_19 ),
    inference(trivial_equality_resolution,[status(esa)],[f433]) ).

fof(f435,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f434]) ).

fof(f436,plain,
    ( use != use
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f250,f340]) ).

fof(f437,plain,
    ( $false
    | spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f436]) ).

fof(f438,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f437]) ).

fof(f439,plain,
    ( use != use
    | spl0_4 ),
    inference(forward_demodulation,[status(thm)],[f249,f337]) ).

fof(f440,plain,
    ( $false
    | spl0_4 ),
    inference(trivial_equality_resolution,[status(esa)],[f439]) ).

fof(f441,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f440]) ).

fof(f442,plain,
    ( use != use
    | spl0_3 ),
    inference(forward_demodulation,[status(thm)],[f248,f334]) ).

fof(f443,plain,
    ( $false
    | spl0_3 ),
    inference(trivial_equality_resolution,[status(esa)],[f442]) ).

fof(f444,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f443]) ).

fof(f445,plain,
    ( use != use
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f246,f328]) ).

fof(f446,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f445]) ).

fof(f447,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f446]) ).

fof(f448,plain,
    ( use != use
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f245,f325]) ).

fof(f449,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f448]) ).

fof(f450,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f449]) ).

fof(f458,plain,
    ( gt(n0,n0)
    | ~ spl0_20 ),
    inference(backward_demodulation,[status(thm)],[f429,f267]) ).

fof(f459,plain,
    ( $false
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f458,f91]) ).

fof(f460,plain,
    ~ spl0_20,
    inference(contradiction_clause,[status(thm)],[f459]) ).

fof(f471,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f256,f358]) ).

fof(f472,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f471]) ).

fof(f473,plain,
    ( use != use
    | spl0_10 ),
    inference(forward_demodulation,[status(thm)],[f255,f355]) ).

fof(f474,plain,
    ( $false
    | spl0_10 ),
    inference(trivial_equality_resolution,[status(esa)],[f473]) ).

fof(f475,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f474]) ).

fof(f476,plain,
    ( use != use
    | spl0_9 ),
    inference(forward_demodulation,[status(thm)],[f254,f352]) ).

fof(f477,plain,
    ( $false
    | spl0_9 ),
    inference(trivial_equality_resolution,[status(esa)],[f476]) ).

fof(f478,plain,
    spl0_9,
    inference(contradiction_clause,[status(thm)],[f477]) ).

fof(f483,plain,
    ( use != use
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f252,f346]) ).

fof(f484,plain,
    ( $false
    | spl0_7 ),
    inference(trivial_equality_resolution,[status(esa)],[f483]) ).

fof(f485,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f484]) ).

fof(f487,plain,
    ( use != use
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f251,f343]) ).

fof(f488,plain,
    ( $false
    | spl0_6 ),
    inference(trivial_equality_resolution,[status(esa)],[f487]) ).

fof(f489,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f488]) ).

fof(f495,plain,
    ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0,use),n0) != use
    | ~ spl0_18
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f417,f361]) ).

fof(f496,plain,
    ( use != use
    | ~ spl0_18
    | spl0_12 ),
    inference(forward_demodulation,[status(thm)],[f233,f495]) ).

fof(f497,plain,
    ( $false
    | ~ spl0_18
    | spl0_12 ),
    inference(trivial_equality_resolution,[status(esa)],[f496]) ).

fof(f498,plain,
    ( ~ spl0_18
    | spl0_12 ),
    inference(contradiction_clause,[status(thm)],[f497]) ).

fof(f507,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f247,f331]) ).

fof(f508,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f507]) ).

fof(f509,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[status(thm)],[f253,f349]) ).

fof(f510,plain,
    spl0_8,
    inference(contradiction_clause,[status(thm)],[f509]) ).

fof(f511,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f368,f396,f404,f407,f412,f420,f432,f435,f438,f441,f444,f447,f450,f460,f472,f475,f478,f485,f489,f498,f508,f510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n022.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Apr 30 00:45:58 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.6.0
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39  % Elapsed time: 0.030525 seconds
% 0.12/0.39  % CPU time: 0.051841 seconds
% 0.12/0.39  % Total memory used: 14.457 MB
% 0.12/0.39  % Net memory used: 14.424 MB
%------------------------------------------------------------------------------