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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 01:02:14 PM UTC 2026

% Result   : Unsatisfiable 2.56s 1.31s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  120 (  19 unt;  10 def)
%            Number of atoms       :  357 (  36 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  478 ( 241   ~; 227   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn  37   !;   0   ?)

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

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f79,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

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

fof(f121,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f122,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(reorient_equations,[],[f121]) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f201,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

fof(f207,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ! [X0] :
      ( nil != sk1
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    ( nil = sk3
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f213,negated_conjecture,
    ( nil = sk3
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f214,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f245,definition,
    ( spl0_1
  <=> frontsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f247,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f249,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f251,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f213,f249,f245]) ).

fof(f254,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f256,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f257,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f249,f254]) ).

fof(f259,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f261,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f259,f245]) ).

fof(f263,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f210,f259,f254]) ).

fof(f265,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f268,definition,
    ( spl0_6
  <=> nil = sk1 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f270,plain,
    ( nil != sk1
    | spl0_6 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f209,f268,f265]) ).

fof(f273,definition,
    ( spl0_7
  <=> neq(sk2,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f275,plain,
    ( neq(sk2,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f276,plain,
    ( spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f268,f273]) ).

fof(f278,definition,
    ( spl0_8
  <=> nil = sk2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f280,plain,
    ( nil = sk2
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f207,f278,f265]) ).

fof(f288,definition,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f289,plain,
    ( ssList(nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f311,definition,
    ( spl0_15
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f313,plain,
    ( segmentP(nil,nil)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f314,plain,
    ( spl0_15
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f214,f288,f311]) ).

fof(f324,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f288]) ).

fof(f330,plain,
    ( nil = sk2
    | ~ spl0_4 ),
    inference(superposition,[],[f204,f261]) ).

fof(f333,plain,
    ( spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f330,f259,f278]) ).

fof(f334,plain,
    ( neq(nil,nil)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f275,f280]) ).

fof(f337,plain,
    ( ! [X0] :
        ( ~ segmentP(sk3,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f266,f205]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(nil,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f337,f251]) ).

fof(f339,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f338,f280]) ).

fof(f340,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f341,plain,
    ( ~ ssList(nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(resolution,[],[f313,f340]) ).

fof(f342,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f341,f289]) ).

fof(f343,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f342,f334]) ).

fof(f344,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f346,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f256,f251]) ).

fof(f350,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f56,f338]) ).

fof(f351,plain,
    ( ~ ssList(nil)
    | ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f350,f201]) ).

fof(f352,plain,
    ( ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f351,f289]) ).

fof(f353,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f352,f313]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f353,f346]) ).

fof(f355,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f356,plain,
    ( frontsegP(sk2,sk3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f247,f204]) ).

fof(f369,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk3)
    | ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(resolution,[],[f57,f337]) ).

fof(f370,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f369]) ).

fof(f371,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f370,f202]) ).

fof(f372,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f371,f256]) ).

fof(f464,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk2)
    | sk2 = app(sk3,skaf45(sk2,sk3))
    | ~ spl0_1 ),
    inference(resolution,[],[f143,f356]) ).

fof(f471,plain,
    ( ~ ssList(sk2)
    | sk2 = app(sk3,skaf45(sk2,sk3))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f464,f202]) ).

fof(f473,plain,
    ( sk2 = app(sk3,skaf45(sk2,sk3))
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f471,f201]) ).

fof(f477,plain,
    ( nil != sk2
    | ~ ssList(skaf45(sk2,sk3))
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1 ),
    inference(superposition,[],[f122,f473]) ).

fof(f743,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f228,f74]) ).

fof(f754,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X0) ),
    inference(duplicate_literal_removal,[],[f743]) ).

fof(f758,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(X0,X1),X0) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f754,f289]) ).

fof(f2009,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f758,f85]) ).

fof(f2027,plain,
    ( segmentP(sk2,sk3)
    | ~ ssList(skaf45(sk2,sk3))
    | ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f2009,f473]) ).

fof(f2046,plain,
    ( ~ ssList(skaf45(sk2,sk3))
    | ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2027,f372]) ).

fof(f2058,plain,
    ( ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2046,f51]) ).

fof(f2068,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2058,f202]) ).

fof(f2069,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f2068]) ).

fof(f2070,plain,
    ( nil != sk3
    | spl0_6 ),
    inference(forward_demodulation,[],[f270,f205]) ).

fof(f2073,plain,
    ( nil != sk2
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f477,f51]) ).

fof(f2085,plain,
    ( nil != sk2
    | nil = sk3
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f2073,f202]) ).

fof(f2112,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f2070,f268,f249]) ).

fof(f2113,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f2085,f245,f278,f249]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s5,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s6,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s7,plain,
    ( spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s14,plain,
    ( ~ spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s18,plain,
    spl0_10,
    inference(sat_conversion,[],[f324]) ).

cnf(s21,plain,
    ( ~ spl0_4
    | spl0_8 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s24,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s26,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s70,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s83,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f2112]) ).

cnf(s84,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f2113]) ).

cnf(s88,plain,
    spl0_15,
    inference(rat,[],[s14,s18]) ).

cnf(s93,plain,
    spl0_1,
    inference(rat,[],[s24,s5,s6,s83,s21,s1,s3,s18,s88]) ).

cnf(s94,plain,
    spl0_2,
    inference(rat,[],[s70,s7,s2,s84,s93,s18]) ).

cnf(s95,plain,
    spl0_6,
    inference(rat,[],[s83,s94]) ).

cnf(s96,plain,
    spl0_7,
    inference(rat,[],[s6,s95]) ).

cnf(s97,plain,
    spl0_5,
    inference(rat,[],[s5,s95]) ).

cnf(s98,plain,
    ~ spl0_8,
    inference(rat,[],[s24,s88,s18,s96,s94,s97]) ).

cnf(s99,plain,
    ~ spl0_3,
    inference(rat,[],[s26,s88,s18,s94,s97]) ).

cnf(s102,plain,
    ~ spl0_4,
    inference(rat,[],[s21,s98]) ).

cnf(s103,plain,
    $false,
    inference(rat,[],[s4,s102,s99]) ).

fof(f2126,plain,
    $false,
    inference(avatar_sat_refutation,[],[s103]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n010.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 07:39:18 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/1.31  % (1744440)Input is clausal, will run a generic CNF schedule.
% 2.56/1.31  % (1744451)dis-21_1_sil=8000:lcm=predicate:random_seed=426942265: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)
% 2.56/1.31  % (1744451)Instruction limit reached! 
% 2.56/1.31  % (1744451)------------------------------
% 2.56/1.31  % (1744451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (1744451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (1744451)CaDiCaL version: 2.1.3
% 2.56/1.31  % (1744451)Termination reason: Instruction limit
% 2.56/1.31  % (1744451)Termination phase: Saturation
% 2.56/1.31  % (1744451)Time elapsed: 0.027 s
% 2.56/1.31  % (1744451)Peak memory usage: 88 MB
% 2.56/1.31  % (1744451)Instructions burned: 119 (million)
% 2.56/1.31  % (1744448)lrs+10_1_sil=8000:sp=occurrence:random_seed=230098590:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.56/1.31  % (1744446)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2545115346:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.56/1.31  % (1744445)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=3740620767:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.56/1.31  % (1744449)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3321607358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.56/1.31  % (1744447)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3251387411:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.56/1.31  % (1744450)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4192834740:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.56/1.31  % (1744450)First to succeed.
% 2.56/1.31  % (1744450)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1744440"
% 2.56/1.31  % (1744449)Instruction limit reached! 
% 2.56/1.31  % (1744449)------------------------------
% 2.56/1.31  % (1744449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (1744449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (1744449)CaDiCaL version: 2.1.3
% 2.56/1.31  % (1744449)Termination reason: Instruction limit
% 2.56/1.31  % (1744449)Termination phase: Saturation
% 2.56/1.31  % (1744449)Time elapsed: 0.059 s
% 2.56/1.31  % (1744449)Peak memory usage: 88 MB
% 2.56/1.31  % (1744449)Instructions burned: 116 (million)
% 2.56/1.31  % (1744448)Instruction limit reached! 
% 2.56/1.31  % (1744448)------------------------------
% 2.56/1.31  % (1744448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (1744448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (1744448)CaDiCaL version: 2.1.3
% 2.56/1.31  % (1744448)Termination reason: Instruction limit
% 2.56/1.31  % (1744448)Termination phase: Saturation
% 2.56/1.31  % (1744448)Time elapsed: 0.068 s
% 2.56/1.31  % (1744448)Peak memory usage: 89 MB
% 2.56/1.31  % (1744448)Instructions burned: 109 (million)
% 2.56/1.31  % (1744453)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=1693333385:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.56/1.31  % (1744453)Instruction limit reached! 
% 2.56/1.31  % (1744453)------------------------------
% 2.56/1.31  % (1744453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (1744453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (1744453)CaDiCaL version: 2.1.3
% 2.56/1.31  % (1744453)Termination reason: Instruction limit
% 2.56/1.31  % (1744453)Termination phase: Saturation
% 2.56/1.31  % (1744453)Time elapsed: 0.051 s
% 2.56/1.31  % (1744453)Peak memory usage: 89 MB
% 2.56/1.31  % (1744453)Instructions burned: 145 (million)
% 2.56/1.31  % (1744461)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2496797328:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.56/1.31  % (1744460)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=893554363: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)
% 2.56/1.31  % (1744463)lrs+10_64_to=lpo:sil=8000:random_seed=3482500373:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 2.56/1.31  % (1744463)Instruction limit reached! 
% 2.56/1.31  % (1744463)------------------------------
% 2.56/1.31  % (1744463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (1744463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (1744463)CaDiCaL version: 2.1.3
% 2.56/1.31  % (1744463)Termination reason: Instruction limit
% 2.56/1.31  % (1744463)Termination phase: Saturation
% 2.56/1.31  % (1744463)Time elapsed: 0.036 s
% 2.56/1.31  % (1744463)Peak memory usage: 90 MB
% 2.56/1.31  % (1744463)Instructions burned: 127 (million)
% 2.56/1.31  % (1744450)Refutation found. Thanks to Tanya!
% 2.56/1.31  % SZS status Unsatisfiable for theBenchmark
% 2.56/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50  % (1744450)------------------------------
% 0.16/1.50  % (1744450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50  % (1744450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50  % (1744450)CaDiCaL version: 2.1.3
% 0.16/1.50  % (1744450)Termination reason: Refutation
% 0.16/1.50  % (1744450)Time elapsed: 0.045 s
% 0.16/1.50  % (1744450)Peak memory usage: 90 MB
% 0.16/1.50  % (1744450)Instructions burned: 60 (million)
% 0.16/1.50  % (1744450)------------------------------
% 0.16/1.50  % (1744450)------------------------------
% 0.16/1.50  % (1744440)Success in time 0.455 s
% 0.16/1.50  % Vampire exiting
%------------------------------------------------------------------------------