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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 : Tue Sep 29 01:20:13 PM UTC 2026

% Result   : Theorem 0.18s 0.29s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  109 (  61 unt;  17 def)
%            Number of atoms       :  305 ( 181 equ)
%            Maximal formula atoms :   27 (   2 avg)
%            Number of connectives :  298 ( 102   ~; 101   |;  75   &)
%                                         (  17 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  18 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-3 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(f48,axiom,
    ! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

fof(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( X0 != X1
        & a_select2(X2,X1) = X3 )
     => a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

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',quaternion_ds1_inuse_0014) ).

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',gt_1_0) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f69,axiom,
    gt(n2,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).

fof(f132,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | X0 = X1
      | a_select2(X2,X1) != X3 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4] :
      ( a_select2(tptp_update2(X2,X0,X4),X1) = X3
      | X0 = X1
      | a_select2(X2,X1) != X3 ),
    inference(flattening,[],[f132]) ).

fof(f136,plain,
    ( ( 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) )
    & 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 ),
    inference(ennf_transformation,[],[f54]) ).

fof(f137,plain,
    ( ( 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) )
    & 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 ),
    inference(flattening,[],[f136]) ).

fof(f152,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f302,plain,
    ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
    inference(cnf_transformation,[],[f48]) ).

fof(f303,plain,
    ! [X2,X3,X0,X1,X4] :
      ( a_select2(X2,X1) != X3
      | X0 = X1
      | a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f308,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
    | 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),n0)
    | use != a_select2(xinit_defuse,n5)
    | use != a_select2(xinit_defuse,n4)
    | use != a_select2(xinit_defuse,n3)
    | use != a_select3(u_defuse,n2,n0)
    | use != a_select3(u_defuse,n1,n0)
    | use != a_select3(u_defuse,n0,n0)
    | use != a_select2(sigma_defuse,n5)
    | use != a_select2(sigma_defuse,n4)
    | use != a_select2(sigma_defuse,n3)
    | use != a_select2(sigma_defuse,n2)
    | use != a_select2(sigma_defuse,n1)
    | use != a_select2(sigma_defuse,n0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f309,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f137]) ).

fof(f310,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f137]) ).

fof(f311,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f137]) ).

fof(f312,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f137]) ).

fof(f313,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f137]) ).

fof(f314,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f137]) ).

fof(f315,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f137]) ).

fof(f316,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f137]) ).

fof(f317,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f137]) ).

fof(f318,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f137]) ).

fof(f319,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f137]) ).

fof(f320,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f137]) ).

fof(f330,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f64]) ).

fof(f331,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f335,plain,
    gt(n2,n1),
    inference(cnf_transformation,[],[f69]) ).

fof(f381,plain,
    ! [X2,X0,X1,X4] :
      ( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
      | X0 = X1 ),
    inference(equality_resolution,[],[f303]) ).

fof(f384,plain,
    ! [X0] : gt(X0,X0),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f527,plain,
    ~ gt(n1,n0),
    inference(consistent_polarity_flipping,[],[f330]) ).

fof(f528,plain,
    ~ gt(n2,n0),
    inference(consistent_polarity_flipping,[],[f331]) ).

fof(f532,plain,
    ~ gt(n2,n1),
    inference(consistent_polarity_flipping,[],[f335]) ).

fof(f546,definition,
    ( spl31_1
  <=> use = a_select2(sigma_defuse,n0) ),
    introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).

fof(f550,definition,
    ( spl31_2
  <=> use = a_select2(sigma_defuse,n1) ),
    introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).

fof(f554,definition,
    ( spl31_3
  <=> use = a_select2(sigma_defuse,n2) ),
    introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).

fof(f558,definition,
    ( spl31_4
  <=> use = a_select2(sigma_defuse,n3) ),
    introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).

fof(f562,definition,
    ( spl31_5
  <=> use = a_select2(sigma_defuse,n4) ),
    introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).

fof(f566,definition,
    ( spl31_6
  <=> use = a_select2(sigma_defuse,n5) ),
    introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).

fof(f570,definition,
    ( spl31_7
  <=> use = a_select3(u_defuse,n0,n0) ),
    introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).

fof(f574,definition,
    ( spl31_8
  <=> use = a_select3(u_defuse,n1,n0) ),
    introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).

fof(f578,definition,
    ( spl31_9
  <=> use = a_select3(u_defuse,n2,n0) ),
    introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).

fof(f582,definition,
    ( spl31_10
  <=> use = a_select2(xinit_defuse,n3) ),
    introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).

fof(f586,definition,
    ( spl31_11
  <=> use = a_select2(xinit_defuse,n4) ),
    introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).

fof(f590,definition,
    ( spl31_12
  <=> use = a_select2(xinit_defuse,n5) ),
    introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).

fof(f594,definition,
    ( spl31_13
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) ),
    introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).

fof(f596,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
    | spl31_13 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f598,definition,
    ( spl31_14
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) ),
    introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).

fof(f600,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
    | spl31_14 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f602,definition,
    ( spl31_15
  <=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) ),
    introduced(definition,[new_symbols(definition,[spl31_15])],[avatar_definition]) ).

fof(f604,plain,
    ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
    | spl31_15 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( ~ spl31_1
    | ~ spl31_2
    | ~ spl31_3
    | ~ spl31_4
    | ~ spl31_5
    | ~ spl31_6
    | ~ spl31_7
    | ~ spl31_8
    | ~ spl31_9
    | ~ spl31_10
    | ~ spl31_11
    | ~ spl31_12
    | ~ spl31_13
    | ~ spl31_14
    | ~ spl31_15 ),
    inference(avatar_split_clause,[],[f308,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566,f562,f558,f554,f550,f546]) ).

fof(f606,plain,
    spl31_12,
    inference(avatar_split_clause,[],[f309,f590]) ).

fof(f607,plain,
    spl31_11,
    inference(avatar_split_clause,[],[f310,f586]) ).

fof(f608,plain,
    spl31_10,
    inference(avatar_split_clause,[],[f311,f582]) ).

fof(f609,plain,
    spl31_9,
    inference(avatar_split_clause,[],[f312,f578]) ).

fof(f610,plain,
    spl31_8,
    inference(avatar_split_clause,[],[f313,f574]) ).

fof(f611,plain,
    spl31_7,
    inference(avatar_split_clause,[],[f314,f570]) ).

fof(f612,plain,
    spl31_6,
    inference(avatar_split_clause,[],[f315,f566]) ).

fof(f613,plain,
    spl31_5,
    inference(avatar_split_clause,[],[f316,f562]) ).

fof(f614,plain,
    spl31_4,
    inference(avatar_split_clause,[],[f317,f558]) ).

fof(f615,plain,
    spl31_3,
    inference(avatar_split_clause,[],[f318,f554]) ).

fof(f616,plain,
    spl31_2,
    inference(avatar_split_clause,[],[f319,f550]) ).

fof(f617,plain,
    spl31_1,
    inference(avatar_split_clause,[],[f320,f546]) ).

fof(f1004,plain,
    ( use != a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0)
    | n0 = n2
    | spl31_13 ),
    inference(superposition,[],[f596,f381]) ).

fof(f1006,definition,
    ( spl31_18
  <=> n0 = n2 ),
    introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).

fof(f1008,plain,
    ( n0 = n2
    | ~ spl31_18 ),
    inference(avatar_component_clause,[],[f1006]) ).

fof(f1010,definition,
    ( spl31_19
  <=> use = a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) ),
    introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition]) ).

fof(f1012,plain,
    ( use != a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0)
    | spl31_19 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1013,plain,
    ( spl31_18
    | ~ spl31_19
    | spl31_13 ),
    inference(avatar_split_clause,[],[f1004,f594,f1010,f1006]) ).

fof(f1014,plain,
    ( use != a_select2(tptp_update2(rho_defuse,n0,use),n0)
    | n0 = n1
    | spl31_19 ),
    inference(superposition,[],[f1012,f381]) ).

fof(f1015,plain,
    ( n0 = n1
    | spl31_19 ),
    inference(forward_subsumption_resolution,[],[f1014,f302]) ).

fof(f1030,plain,
    ( ~ gt(n0,n0)
    | spl31_19 ),
    inference(superposition,[],[f527,f1015]) ).

fof(f1065,plain,
    ( $false
    | spl31_19 ),
    inference(forward_subsumption_resolution,[],[f1030,f384]) ).

fof(f1066,plain,
    spl31_19,
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1105,plain,
    ( ~ gt(n0,n0)
    | ~ spl31_18 ),
    inference(superposition,[],[f528,f1008]) ).

fof(f1137,plain,
    ( $false
    | ~ spl31_18 ),
    inference(forward_subsumption_resolution,[],[f1105,f384]) ).

fof(f1138,plain,
    ~ spl31_18,
    inference(avatar_contradiction_clause,[],[f1137]) ).

fof(f1149,plain,
    ( use != a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1)
    | n1 = n2
    | spl31_14 ),
    inference(superposition,[],[f600,f381]) ).

fof(f1150,plain,
    ( n1 = n2
    | spl31_14 ),
    inference(forward_subsumption_resolution,[],[f1149,f302]) ).

fof(f1153,plain,
    ( ~ gt(n1,n1)
    | spl31_14 ),
    inference(superposition,[],[f532,f1150]) ).

fof(f1181,plain,
    ( $false
    | spl31_14 ),
    inference(forward_subsumption_resolution,[],[f1153,f384]) ).

fof(f1182,plain,
    spl31_14,
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1186,plain,
    ( $false
    | spl31_15 ),
    inference(forward_subsumption_resolution,[],[f604,f302]) ).

fof(f1187,plain,
    spl31_15,
    inference(avatar_contradiction_clause,[],[f1186]) ).

cnf(s1,plain,
    ( ~ spl31_1
    | ~ spl31_2
    | ~ spl31_3
    | ~ spl31_4
    | ~ spl31_5
    | ~ spl31_6
    | ~ spl31_7
    | ~ spl31_8
    | ~ spl31_9
    | ~ spl31_10
    | ~ spl31_11
    | ~ spl31_12
    | ~ spl31_13
    | ~ spl31_14
    | ~ spl31_15 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s2,plain,
    spl31_12,
    inference(sat_conversion,[],[f606]) ).

cnf(s3,plain,
    spl31_11,
    inference(sat_conversion,[],[f607]) ).

cnf(s4,plain,
    spl31_10,
    inference(sat_conversion,[],[f608]) ).

cnf(s5,plain,
    spl31_9,
    inference(sat_conversion,[],[f609]) ).

cnf(s6,plain,
    spl31_8,
    inference(sat_conversion,[],[f610]) ).

cnf(s7,plain,
    spl31_7,
    inference(sat_conversion,[],[f611]) ).

cnf(s8,plain,
    spl31_6,
    inference(sat_conversion,[],[f612]) ).

cnf(s9,plain,
    spl31_5,
    inference(sat_conversion,[],[f613]) ).

cnf(s10,plain,
    spl31_4,
    inference(sat_conversion,[],[f614]) ).

cnf(s11,plain,
    spl31_3,
    inference(sat_conversion,[],[f615]) ).

cnf(s12,plain,
    spl31_2,
    inference(sat_conversion,[],[f616]) ).

cnf(s13,plain,
    spl31_1,
    inference(sat_conversion,[],[f617]) ).

cnf(s18,plain,
    ( spl31_13
    | spl31_18
    | ~ spl31_19 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s21,plain,
    spl31_19,
    inference(sat_conversion,[],[f1066]) ).

cnf(s27,plain,
    ~ spl31_18,
    inference(sat_conversion,[],[f1138]) ).

cnf(s32,plain,
    spl31_14,
    inference(sat_conversion,[],[f1182]) ).

cnf(s33,plain,
    spl31_15,
    inference(sat_conversion,[],[f1187]) ).

cnf(s34,plain,
    spl31_13,
    inference(rat,[],[s18,s21,s27]) ).

cnf(s36,plain,
    $false,
    inference(rat,[],[s1,s33,s32,s34,s2,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13]) ).

fof(f1188,plain,
    $false,
    inference(avatar_sat_refutation,[],[s36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n009.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 09:54:15 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.29  % (2928000)Will run a generic schedule for satisfiability detection.
% 0.18/0.29  % (2928010)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2649191406:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29  % (2928006)% WARNING: option uhcvi not known.
% 0.18/0.29  % (2928006)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2493486871:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29  % (2928005)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=31677173_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29  % (2928007)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1743362088:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29  % (2928008)dis+10_1_sil=32000:sp=arity:random_seed=2257502191:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29  % (2928009)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4053138903:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29  % (2928011)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=719785534:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29  % (2928006) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2928000-2928006"...
% 0.18/0.29  % (2928008) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2928000-2928008"...
% 0.18/0.29  % (2928006)...printing done.
% 0.18/0.29  % (2928008)...printing done.
% 0.18/0.29  % (2928006)Refutation found. Thanks to Tanya!
% 0.18/0.29  % SZS status Theorem for theBenchmark
% 0.18/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29  % (2928006)------------------------------
% 0.18/0.29  % (2928006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29  % (2928006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29  % (2928006)CaDiCaL version: 2.1.3
% 0.18/0.29  % (2928006)Termination reason: Refutation
% 0.18/0.29  % (2928006)Time elapsed: 0.023 s
% 0.18/0.29  % (2928006)Peak memory usage: 13 MB
% 0.18/0.29  % (2928006)Instructions burned: 37 (million)
% 0.18/0.29  % (2928000)Success in time 0.062 s
% 0.18/0.29  % Vampire exiting
%------------------------------------------------------------------------------