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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC192-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 01:02:53 PM UTC 2026

% Result   : Unsatisfiable 2.86s 1.10s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  105 (  21 unt;   7 def)
%            Number of atoms       :  384 (  30 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  543 ( 264   ~; 272   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X2 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X0 = X2 ),
    inference(reorient_equations,[],[f173]) ).

fof(f189,axiom,
    ! [X2,X3,X0,X1] :
      ( app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(reorient_equations,[],[f210]) ).

fof(f212,negated_conjecture,
    sk5 != sk6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f214,negated_conjecture,
    ( ssItem(sk9)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f218,negated_conjecture,
    ( cons(sk9,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f219,plain,
    ( sk3 = cons(sk9,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f218]) ).

fof(f223,plain,
    sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(definition_unfolding,[],[f211,f205]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f189]) ).

fof(f231,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f233,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f240,definition,
    ( spl0_3
  <=> sk3 = cons(sk9,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f242,plain,
    ( sk3 = cons(sk9,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f219,f240,f231]) ).

fof(f251,definition,
    ( spl0_5
  <=> ssItem(sk9) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f253,plain,
    ( ssItem(sk9)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f254,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f214,f251,f231]) ).

fof(f315,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssList(sk8)
      | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
      | ~ ssItem(X0)
      | ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
    inference(superposition,[],[f151,f223]) ).

fof(f320,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
      | ~ ssItem(X0)
      | ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0) ),
    inference(forward_subsumption_resolution,[],[f315,f209]) ).

fof(f322,definition,
    ( spl0_6
  <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f323,plain,
    ( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f326,definition,
    ( spl0_7
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
        | memberP(sk3,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f328,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f320,f326,f322]) ).

fof(f584,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssList(nil)
        | ~ ssItem(sk9)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk9 = X0 )
    | ~ spl0_3 ),
    inference(superposition,[],[f174,f242]) ).

fof(f587,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(sk9)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk9 = X0 )
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f584,f8]) ).

fof(f588,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk9 = X0 )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f587,f253]) ).

fof(f589,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk9 = X0 )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f588,f71]) ).

fof(f661,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(cons(sk6,nil))
    | spl0_6 ),
    inference(resolution,[],[f324,f85]) ).

fof(f663,definition,
    ( spl0_13
  <=> ssList(cons(sk6,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f664,plain,
    ( ssList(cons(sk6,nil))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f667,definition,
    ( spl0_14
  <=> ssList(app(sk7,cons(sk5,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f668,plain,
    ( ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f661,f322,f667,f663]) ).

fof(f671,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk6)
    | spl0_13 ),
    inference(resolution,[],[f665,f86]) ).

fof(f672,plain,
    ( ~ ssItem(sk6)
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f671,f8]) ).

fof(f673,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f672,f207]) ).

fof(f674,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f673]) ).

fof(f703,plain,
    ( ~ ssList(sk7)
    | ~ ssList(cons(sk5,nil))
    | spl0_14 ),
    inference(resolution,[],[f669,f85]) ).

fof(f704,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f703,f208]) ).

fof(f711,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_14 ),
    inference(resolution,[],[f704,f86]) ).

fof(f712,plain,
    ( ~ ssItem(sk5)
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f711,f8]) ).

fof(f713,plain,
    ( $false
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f712,f206]) ).

fof(f714,plain,
    spl0_14,
    inference(avatar_contradiction_clause,[],[f713]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(cons(sk6,nil))
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssItem(X0)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f327,f151]) ).

fof(f1001,plain,
    ( memberP(sk3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssItem(sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_7 ),
    inference(resolution,[],[f327,f226]) ).

fof(f1002,plain,
    ( memberP(sk3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f1001]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(cons(sk6,nil))
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f1000]) ).

fof(f1005,plain,
    ( memberP(sk3,sk6)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1002,f207]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1003,f664]) ).

fof(f1008,plain,
    ( memberP(sk3,sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1005,f668]) ).

fof(f1009,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk7,cons(sk5,nil)),X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1006,f668]) ).

fof(f1011,plain,
    ( memberP(sk3,sk6)
    | ~ ssList(nil)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1008,f323]) ).

fof(f1012,plain,
    ( memberP(sk3,sk6)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1011,f8]) ).

fof(f1013,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk9
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(resolution,[],[f1012,f589]) ).

fof(f1014,plain,
    ( sk6 = sk9
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1013,f207]) ).

fof(f1016,plain,
    ( sk3 = cons(sk6,nil)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f242,f1014]) ).

fof(f1245,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssList(nil)
        | ~ ssItem(sk6)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk6 = X0 )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f174,f1016]) ).

fof(f1256,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(sk6)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk6 = X0 )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1245,f8]) ).

fof(f1259,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk6 = X0 )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1256,f207]) ).

fof(f1260,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk6 = X0 )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1259,f71]) ).

fof(f2374,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ ssList(sk7)
    | ~ ssItem(sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f1009,f226]) ).

fof(f2375,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ ssList(sk7)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f2374]) ).

fof(f2378,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(sk7)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2375,f206]) ).

fof(f2381,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2378,f208]) ).

fof(f2384,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(nil)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2381,f668]) ).

fof(f2385,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2384,f8]) ).

fof(f2386,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk6
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f2385,f1260]) ).

fof(f2389,plain,
    ( sk5 = sk6
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2386,f206]) ).

fof(f2390,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2389,f212]) ).

fof(f2391,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2390]) ).

fof(f2540,plain,
    ( memberP(nil,sk6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f1012,f233]) ).

fof(f2630,plain,
    ( ~ ssItem(sk6)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(resolution,[],[f2540,f71]) ).

fof(f2631,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2630,f207]) ).

fof(f2632,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f2631]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_3 ),
    inference(sat_conversion,[],[f243]) ).

cnf(s5,plain,
    ( spl0_1
    | spl0_5 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s8,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s15,plain,
    ( spl0_6
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s16,plain,
    spl0_13,
    inference(sat_conversion,[],[f674]) ).

cnf(s17,plain,
    spl0_14,
    inference(sat_conversion,[],[f714]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2391]) ).

cnf(s70,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2632]) ).

cnf(s78,plain,
    spl0_6,
    inference(rat,[],[s15,s17,s16]) ).

cnf(s79,plain,
    spl0_7,
    inference(rat,[],[s8,s78]) ).

cnf(s80,plain,
    ~ spl0_1,
    inference(rat,[],[s70,s17,s78,s79]) ).

cnf(s82,plain,
    spl0_5,
    inference(rat,[],[s5,s80]) ).

cnf(s83,plain,
    ~ spl0_3,
    inference(rat,[],[s56,s17,s16,s79,s78,s82]) ).

cnf(s85,plain,
    $false,
    inference(rat,[],[s2,s83,s80]) ).

fof(f2633,plain,
    $false,
    inference(avatar_sat_refutation,[],[s85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC192-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  % Computer : n017.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.42  % CPULimit : 300
% 0.13/0.42  % WCLimit  : 300
% 0.13/0.42  % DateTime : Mon Sep 28 08:17:36 UTC 2026
% 0.13/0.42  % CPUTime  : 
% 0.13/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45  Running first-order theorem proving
% 0.13/0.45  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.86/1.10  % (3394466)Input is clausal, will run a generic CNF schedule.
% 2.86/1.10  % (3394476)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3909981532:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.10  % (3394474)lrs+10_1_sil=8000:sp=occurrence:random_seed=3917140660:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.10  % (3394477)dis-21_1_sil=8000:lcm=predicate:random_seed=1089922765:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.86/1.10  % (3394473)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3331140743:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.10  % (3394471)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2224392499:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.10  % (3394472)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2052680315:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.10  % (3394475)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2944275031:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.10  % (3394474)First to succeed.
% 2.86/1.10  % (3394474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3394466"
% 2.86/1.10  % (3394477)Instruction limit reached! 
% 2.86/1.10  % (3394477)------------------------------
% 2.86/1.10  % (3394477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.10  % (3394477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.10  % (3394477)CaDiCaL version: 2.1.3
% 2.86/1.10  % (3394477)Termination reason: Instruction limit
% 2.86/1.10  % (3394477)Termination phase: Saturation
% 2.86/1.10  % (3394477)Time elapsed: 0.053 s
% 2.86/1.10  % (3394477)Peak memory usage: 89 MB
% 2.86/1.10  % (3394477)Instructions burned: 117 (million)
% 2.86/1.10  % (3394475)Instruction limit reached! 
% 2.86/1.10  % (3394475)------------------------------
% 2.86/1.10  % (3394475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.10  % (3394475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.10  % (3394475)CaDiCaL version: 2.1.3
% 2.86/1.10  % (3394475)Termination reason: Instruction limit
% 2.86/1.10  % (3394475)Termination phase: Saturation
% 2.86/1.10  % (3394475)Time elapsed: 0.068 s
% 2.86/1.10  % (3394475)Peak memory usage: 89 MB
% 2.86/1.10  % (3394475)Instructions burned: 115 (million)
% 2.86/1.10  % (3394476)Instruction limit reached! 
% 2.86/1.10  % (3394476)------------------------------
% 2.86/1.10  % (3394476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.10  % (3394476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.10  % (3394476)CaDiCaL version: 2.1.3
% 2.86/1.10  % (3394476)Termination reason: Instruction limit
% 2.86/1.10  % (3394476)Termination phase: Saturation
% 2.86/1.10  % (3394476)Time elapsed: 0.120 s
% 2.86/1.10  % (3394476)Peak memory usage: 90 MB
% 2.86/1.10  % (3394476)Instructions burned: 180 (million)
% 2.86/1.10  % (3394485)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=77985369:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.86/1.10  % (3394486)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2911396641:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.86/1.10  % (3394485)Also succeeded, but the first one will report.
% 2.86/1.10  % (3394487)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=581560404:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.86/1.10  % (3394487)Also succeeded, but the first one will report.
% 2.86/1.10  % (3394474)Refutation found. Thanks to Tanya!
% 2.86/1.10  % SZS status Unsatisfiable for theBenchmark
% 2.86/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.19  % (3394474)------------------------------
% 3.44/1.19  % (3394474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.19  % (3394474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.19  % (3394474)CaDiCaL version: 2.1.3
% 3.44/1.19  % (3394474)Termination reason: Refutation
% 3.44/1.19  % (3394474)Time elapsed: 0.051 s
% 3.44/1.19  % (3394474)Peak memory usage: 91 MB
% 3.44/1.19  % (3394474)Instructions burned: 84 (million)
% 3.44/1.19  % (3394474)------------------------------
% 3.44/1.19  % (3394474)------------------------------
% 3.44/1.19  % (3394466)Success in time 0.449 s
% 3.44/1.19  % Vampire exiting
%------------------------------------------------------------------------------