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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC107-1 : 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 : n003.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 01:02:28 PM UTC 2026

% Result   : Unsatisfiable 6.44s 2.03s
% Output   : Refutation 8.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  154 (  22 unt;  12 def)
%            Number of atoms       :  448 (  57 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  561 ( 267   ~; 283   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   57 (   0 sgn  57   !;   0   ?)

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

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

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

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = 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(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != nil
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(reorient_equations,[],[f98]) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

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

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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(f206,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(reorient_equations,[],[f208]) ).

fof(f212,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f213,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f212]) ).

fof(f214,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f217,negated_conjecture,
    ( nil = sk2
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f218,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f219,negated_conjecture,
    ( nil != sk1
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f223,plain,
    ( nil = sk4
    | ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f217,f204,f205,f204,f205]) ).

fof(f224,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f218,f205,f204]) ).

fof(f225,plain,
    ( nil != sk3
    | ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f219,f205,f205,f204,f205]) ).

fof(f226,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f250,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f251,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f250]) ).

fof(f252,plain,
    ( sk3 = sF0
    | nil = sk4 ),
    inference(definition_folding,[],[f209,f251]) ).

fof(f253,plain,
    ( sk3 = sF0
    | nil = sk3 ),
    inference(definition_folding,[],[f213,f251]) ).

fof(f261,definition,
    ( spl1_1
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f263,plain,
    ( ~ segmentP(sk4,sk3)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f265,definition,
    ( spl1_2
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f267,plain,
    ( ~ neq(sk3,nil)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f269,definition,
    ( spl1_3
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f270,plain,
    ( nil = sk3
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( nil != sk3
    | spl1_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f272,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f225,f269,f265,f261]) ).

fof(f274,definition,
    ( spl1_4
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f276,plain,
    ( neq(sk4,nil)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f277,plain,
    ( spl1_4
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f224,f269,f274]) ).

fof(f279,definition,
    ( spl1_5
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f281,plain,
    ( nil = sk4
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f282,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | spl1_5 ),
    inference(avatar_split_clause,[],[f223,f279,f265,f261]) ).

fof(f289,definition,
    ( spl1_7
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f291,plain,
    ( memberP(sk4,sk5)
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f292,plain,
    ( spl1_3
    | spl1_7 ),
    inference(avatar_split_clause,[],[f214,f289,f269]) ).

fof(f294,definition,
    ( spl1_8
  <=> sk3 = sF0 ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f296,plain,
    ( sk3 = sF0
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f297,plain,
    ( spl1_3
    | spl1_8 ),
    inference(avatar_split_clause,[],[f253,f294,f269]) ).

fof(f300,plain,
    ( spl1_5
    | spl1_8 ),
    inference(avatar_split_clause,[],[f252,f294,f279]) ).

fof(f302,definition,
    ( spl1_9
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

fof(f304,plain,
    ( ssItem(sk5)
    | ~ spl1_9 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,plain,
    ( spl1_3
    | spl1_9 ),
    inference(avatar_split_clause,[],[f207,f302,f269]) ).

fof(f306,plain,
    ( spl1_5
    | spl1_9 ),
    inference(avatar_split_clause,[],[f206,f302,f279]) ).

fof(f312,definition,
    ( spl1_11
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).

fof(f313,plain,
    ( ssList(nil)
    | ~ spl1_11 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f335,definition,
    ( spl1_16
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).

fof(f337,plain,
    ( segmentP(nil,nil)
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f338,plain,
    ( spl1_16
    | ~ spl1_11 ),
    inference(avatar_split_clause,[],[f226,f312,f335]) ).

fof(f348,plain,
    spl1_11,
    inference(avatar_split_clause,[],[f8,f312]) ).

fof(f349,plain,
    ( ~ neq(nil,nil)
    | spl1_2
    | ~ spl1_3 ),
    inference(superposition,[],[f267,f270]) ).

fof(f350,plain,
    ( neq(nil,nil)
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(superposition,[],[f276,f281]) ).

fof(f351,plain,
    ( $false
    | spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(forward_subsumption_resolution,[],[f350,f349]) ).

fof(f352,plain,
    ( spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f351]) ).

fof(f354,plain,
    ( nil = sF0
    | ~ spl1_3
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f296,f270]) ).

fof(f356,plain,
    ( nil != sF0
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f99,f251]) ).

fof(f357,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl1_3
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f356,f354]) ).

fof(f361,plain,
    ( ~ ssList(nil)
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(forward_subsumption_resolution,[],[f357,f304]) ).

fof(f362,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11 ),
    inference(forward_subsumption_resolution,[],[f361,f313]) ).

fof(f363,plain,
    ( ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f364,plain,
    ( ~ segmentP(sk4,nil)
    | spl1_1
    | ~ spl1_3 ),
    inference(forward_demodulation,[],[f263,f270]) ).

fof(f368,plain,
    ( ~ segmentP(nil,nil)
    | spl1_1
    | ~ spl1_3
    | ~ spl1_5 ),
    inference(forward_demodulation,[],[f364,f281]) ).

fof(f369,plain,
    ( $false
    | spl1_1
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f368,f337]) ).

fof(f370,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_16 ),
    inference(avatar_contradiction_clause,[],[f369]) ).

fof(f374,plain,
    ( memberP(nil,sk5)
    | ~ spl1_5
    | ~ spl1_7 ),
    inference(superposition,[],[f291,f281]) ).

fof(f375,plain,
    ( ~ ssItem(sk5)
    | ~ spl1_5
    | ~ spl1_7 ),
    inference(resolution,[],[f374,f71]) ).

fof(f376,plain,
    ( $false
    | ~ spl1_5
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(forward_subsumption_resolution,[],[f375,f304]) ).

fof(f377,plain,
    ( ~ spl1_5
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f379,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f380,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f240,f379]) ).

fof(f381,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f380,f85]) ).

fof(f382,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl1_11 ),
    inference(forward_subsumption_resolution,[],[f381,f313]) ).

fof(f383,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_11 ),
    inference(forward_subsumption_resolution,[],[f382,f202]) ).

fof(f398,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f203,f73]) ).

fof(f418,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_7 ),
    inference(resolution,[],[f182,f291]) ).

fof(f419,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(forward_subsumption_resolution,[],[f418,f304]) ).

fof(f420,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(forward_subsumption_resolution,[],[f419,f203]) ).

fof(f425,definition,
    ( spl1_19
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).

fof(f426,plain,
    ( ssList(cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl1_19 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f432,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ ssItem(sk5)
    | spl1_19 ),
    inference(resolution,[],[f427,f86]) ).

fof(f433,plain,
    ( ~ ssItem(sk5)
    | spl1_19 ),
    inference(forward_subsumption_resolution,[],[f432,f52]) ).

fof(f434,plain,
    ( $false
    | ~ spl1_9
    | spl1_19 ),
    inference(forward_subsumption_resolution,[],[f433,f304]) ).

fof(f435,plain,
    ( ~ spl1_9
    | spl1_19 ),
    inference(avatar_contradiction_clause,[],[f434]) ).

fof(f436,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(cons(sk5,nil),X0) )
    | ~ spl1_9 ),
    inference(resolution,[],[f126,f304]) ).

fof(f437,plain,
    ( ! [X0] :
        ( cons(sk5,X0) = app(sF0,X0)
        | ~ ssList(X0) )
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f436,f251]) ).

fof(f438,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sk3,X0) = cons(sk5,X0) )
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(forward_demodulation,[],[f437,f296]) ).

fof(f448,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(skaf42(sk4,sk5))
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(superposition,[],[f186,f420]) ).

fof(f453,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(forward_subsumption_resolution,[],[f448,f53]) ).

fof(f458,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(sk4,X0),X1) )
    | ~ spl1_7
    | ~ spl1_9
    | ~ spl1_19 ),
    inference(forward_subsumption_resolution,[],[f453,f426]) ).

fof(f470,plain,
    ( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
    | ~ spl1_8
    | ~ spl1_9 ),
    inference(resolution,[],[f52,f438]) ).

fof(f473,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(app(sk4,X1),X0) )
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_19 ),
    inference(superposition,[],[f458,f470]) ).

fof(f482,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk3)
        | segmentP(app(sk4,X0),sk3)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(resolution,[],[f473,f383]) ).

fof(f486,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(sk4,X0),sk3)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(forward_subsumption_resolution,[],[f482,f202]) ).

fof(f487,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(forward_subsumption_resolution,[],[f486,f52]) ).

fof(f488,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(superposition,[],[f487,f398]) ).

fof(f489,plain,
    ( ~ ssList(nil)
    | spl1_1
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(forward_subsumption_resolution,[],[f488,f263]) ).

fof(f490,plain,
    ( $false
    | spl1_1
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(forward_subsumption_resolution,[],[f489,f313]) ).

fof(f491,plain,
    ( spl1_1
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f492,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3
    | spl1_2 ),
    inference(resolution,[],[f267,f102]) ).

fof(f493,plain,
    ( ~ ssList(nil)
    | nil = sk3
    | spl1_2 ),
    inference(forward_subsumption_resolution,[],[f492,f202]) ).

fof(f494,plain,
    ( nil = sk3
    | spl1_2
    | ~ spl1_11 ),
    inference(forward_subsumption_resolution,[],[f493,f313]) ).

fof(f495,plain,
    ( $false
    | spl1_2
    | spl1_3
    | ~ spl1_11 ),
    inference(forward_subsumption_resolution,[],[f494,f271]) ).

fof(f496,plain,
    ( spl1_2
    | spl1_3
    | ~ spl1_11 ),
    inference(avatar_contradiction_clause,[],[f495]) ).

cnf(s1,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s2,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s3,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | spl1_5 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s6,plain,
    ( spl1_3
    | spl1_7 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s7,plain,
    ( spl1_3
    | spl1_8 ),
    inference(sat_conversion,[],[f297]) ).

cnf(s10,plain,
    ( spl1_5
    | spl1_8 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s11,plain,
    ( spl1_3
    | spl1_9 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s12,plain,
    ( spl1_5
    | spl1_9 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s18,plain,
    ( ~ spl1_11
    | spl1_16 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s22,plain,
    spl1_11,
    inference(sat_conversion,[],[f348]) ).

cnf(s23,plain,
    ( spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s25,plain,
    ( ~ spl1_3
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s26,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_16 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s27,plain,
    ( ~ spl1_5
    | ~ spl1_7
    | ~ spl1_9 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s29,plain,
    ( ~ spl1_9
    | spl1_19 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s30,plain,
    ( spl1_1
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_11
    | ~ spl1_19 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s31,plain,
    ( spl1_2
    | spl1_3
    | ~ spl1_11 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s32,plain,
    spl1_16,
    inference(rat,[],[s18,s22]) ).

cnf(s36,plain,
    ( ~ spl1_3
    | spl1_1 ),
    inference(rat,[],[s25,s10,s12,s26,s32,s22]) ).

cnf(s37,plain,
    spl1_1,
    inference(rat,[],[s30,s29,s6,s7,s11,s36,s22]) ).

cnf(s38,plain,
    ( ~ spl1_4
    | spl1_2
    | ~ spl1_3 ),
    inference(rat,[],[s25,s10,s12,s23,s22]) ).

cnf(s39,plain,
    ~ spl1_3,
    inference(rat,[],[s38,s1,s2,s37]) ).

cnf(s40,plain,
    spl1_2,
    inference(rat,[],[s31,s22,s39]) ).

cnf(s41,plain,
    spl1_9,
    inference(rat,[],[s11,s39]) ).

cnf(s43,plain,
    spl1_7,
    inference(rat,[],[s6,s39]) ).

cnf(s45,plain,
    spl1_5,
    inference(rat,[],[s3,s37,s40]) ).

cnf(s48,plain,
    $false,
    inference(rat,[],[s27,s41,s45,s43]) ).

fof(f497,plain,
    $false,
    inference(avatar_sat_refutation,[],[s48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC107-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  % Computer : n003.cluster.edu
% 0.13/0.42  % Model    : x86_64 x86_64
% 0.13/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42  % Memory   : 8046.5625MB
% 0.13/0.42  % 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 07:55:57 UTC 2026
% 0.13/0.42  % CPUTime  : 
% 0.13/0.42  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45  Running first-order theorem proving
% 0.13/0.45  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
% 6.44/2.02  % (1416491)Input is clausal, will run a generic CNF schedule.
% 6.44/2.02  % (1416598)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1254988296:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.44/2.02  % (1416597)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=2788838944:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.44/2.02  % (1416599)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2712852244:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.44/2.02  % (1416600)lrs+10_1_sil=8000:sp=occurrence:random_seed=4168725019:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.44/2.02  % (1416601)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1318522789:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.44/2.02  % (1416603)dis-21_1_sil=8000:lcm=predicate:random_seed=1424776200: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)
% 6.44/2.02  % (1416602)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=9895289:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.44/2.02  % (1416600)Instruction limit reached! 
% 6.44/2.02  % (1416600)------------------------------
% 6.44/2.02  % (1416600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416600)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416600)Termination reason: Instruction limit
% 6.44/2.02  % (1416600)Termination phase: Saturation
% 6.44/2.02  % (1416600)Time elapsed: 0.081 s
% 6.44/2.02  % (1416600)Peak memory usage: 89 MB
% 6.44/2.02  % (1416600)Instructions burned: 108 (million)
% 6.44/2.02  % (1416601)Instruction limit reached! 
% 6.44/2.02  % (1416601)------------------------------
% 6.44/2.02  % (1416601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416601)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416601)Termination reason: Instruction limit
% 6.44/2.02  % (1416601)Termination phase: Saturation
% 6.44/2.02  % (1416601)Time elapsed: 0.111 s
% 6.44/2.02  % (1416601)Peak memory usage: 89 MB
% 6.44/2.02  % (1416601)Instructions burned: 115 (million)
% 6.44/2.02  % (1416603)Instruction limit reached! 
% 6.44/2.02  % (1416603)------------------------------
% 6.44/2.02  % (1416603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416603)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416603)Termination reason: Instruction limit
% 6.44/2.02  % (1416603)Termination phase: Saturation
% 6.44/2.02  % (1416603)Time elapsed: 0.094 s
% 6.44/2.02  % (1416603)Peak memory usage: 89 MB
% 6.44/2.02  % (1416603)Instructions burned: 118 (million)
% 6.44/2.02  % (1416602)Instruction limit reached! 
% 6.44/2.02  % (1416602)------------------------------
% 6.44/2.02  % (1416602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416602)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416602)Termination reason: Instruction limit
% 6.44/2.02  % (1416602)Termination phase: Saturation
% 6.44/2.02  % (1416602)Time elapsed: 0.159 s
% 6.44/2.02  % (1416602)Peak memory usage: 90 MB
% 6.44/2.02  % (1416602)Instructions burned: 182 (million)
% 6.44/2.02  % (1416639)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=2074818331:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.44/2.02  % (1416639)Instruction limit reached! 
% 6.44/2.02  % (1416639)------------------------------
% 6.44/2.02  % (1416639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416639)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416639)Termination reason: Instruction limit
% 6.44/2.02  % (1416639)Termination phase: Saturation
% 6.44/2.02  % (1416639)Time elapsed: 0.053 s
% 6.44/2.02  % (1416639)Peak memory usage: 89 MB
% 6.44/2.02  % (1416639)Instructions burned: 146 (million)
% 6.44/2.02  % (1416642)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4010946798: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)
% 6.44/2.02  % (1416643)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3097970809:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.44/2.02  % (1416644)lrs+10_64_to=lpo:sil=8000:random_seed=2691061976:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.44/2.02  % (1416642)Instruction limit reached! 
% 6.44/2.02  % (1416642)------------------------------
% 6.44/2.02  % (1416642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416642)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416642)Termination reason: Instruction limit
% 6.44/2.02  % (1416642)Termination phase: Saturation
% 6.44/2.02  % (1416642)Time elapsed: 0.096 s
% 6.44/2.02  % (1416642)Peak memory usage: 91 MB
% 6.44/2.02  % (1416642)Instructions burned: 189 (million)
% 6.44/2.02  % (1416644)Instruction limit reached! 
% 6.44/2.02  % (1416644)------------------------------
% 6.44/2.02  % (1416644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416644)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416644)Termination reason: Instruction limit
% 6.44/2.02  % (1416644)Termination phase: Saturation
% 6.44/2.02  % (1416644)Time elapsed: 0.067 s
% 6.44/2.02  % (1416644)Peak memory usage: 90 MB
% 6.44/2.02  % (1416644)Instructions burned: 128 (million)
% 6.44/2.02  % (1416643)Instruction limit reached! 
% 6.44/2.02  % (1416643)------------------------------
% 6.44/2.02  % (1416643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416643)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416643)Termination reason: Instruction limit
% 6.44/2.02  % (1416643)Termination phase: Saturation
% 6.44/2.02  % (1416643)Time elapsed: 0.130 s
% 6.44/2.02  % (1416643)Peak memory usage: 90 MB
% 6.44/2.02  % (1416643)Instructions burned: 219 (million)
% 6.44/2.02  % (1416666)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2827181612:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.44/2.02  % (1416721)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3408323528:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.44/2.02  % (1416707)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=419771771:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.44/2.02  % (1416721)Instruction limit reached! 
% 6.44/2.02  % (1416721)------------------------------
% 6.44/2.02  % (1416721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416721)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416721)Termination reason: Instruction limit
% 6.44/2.02  % (1416721)Termination phase: Saturation
% 6.44/2.02  % (1416721)Time elapsed: 0.032 s
% 6.44/2.02  % (1416721)Peak memory usage: 90 MB
% 6.44/2.02  % (1416721)Instructions burned: 108 (million)
% 6.44/2.02  % (1416666)Instruction limit reached! 
% 6.44/2.02  % (1416666)------------------------------
% 6.44/2.02  % (1416666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416666)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416666)Termination reason: Instruction limit
% 6.44/2.02  % (1416666)Termination phase: Saturation
% 6.44/2.02  % (1416666)Time elapsed: 0.129 s
% 6.44/2.02  % (1416666)Peak memory usage: 90 MB
% 6.44/2.02  % (1416666)Instructions burned: 195 (million)
% 6.44/2.02  % (1416719)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1983183909:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.44/2.02  % (1416707)Instruction limit reached! 
% 6.44/2.02  % (1416707)------------------------------
% 6.44/2.02  % (1416707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416707)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416707)Termination reason: Instruction limit
% 6.44/2.02  % (1416707)Termination phase: Saturation
% 6.44/2.02  % (1416707)Time elapsed: 0.091 s
% 6.44/2.02  % (1416707)Peak memory usage: 91 MB
% 6.44/2.02  % (1416707)Instructions burned: 159 (million)
% 6.44/2.02  % (1416757)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2417118867:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.44/2.02  % (1416762)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3394547289:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.44/2.02  % (1416597)First to succeed.
% 6.44/2.02  % (1416597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1416491"
% 6.44/2.02  % (1416764)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3983072342:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.44/2.02  % (1416757)Instruction limit reached! 
% 6.44/2.02  % (1416757)------------------------------
% 6.44/2.02  % (1416757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416757)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416757)Termination reason: Instruction limit
% 6.44/2.02  % (1416757)Termination phase: Saturation
% 6.44/2.02  % (1416757)Time elapsed: 0.066 s
% 6.44/2.02  % (1416757)Peak memory usage: 90 MB
% 6.44/2.02  % (1416757)Instructions burned: 107 (million)
% 6.44/2.02  % (1416599)Also succeeded, but the first one will report.
% 6.44/2.02  % (1416762)Instruction limit reached! 
% 6.44/2.02  % (1416762)------------------------------
% 6.44/2.02  % (1416762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/2.02  % (1416762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/2.02  % (1416762)CaDiCaL version: 2.1.3
% 6.44/2.02  % (1416762)Termination reason: Instruction limit
% 6.44/2.02  % (1416762)Termination phase: Saturation
% 6.44/2.02  % (1416762)Time elapsed: 0.149 s
% 6.44/2.02  % (1416762)Peak memory usage: 90 MB
% 6.44/2.02  % (1416762)Instructions burned: 243 (million)
% 6.44/2.02  % (1416801)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1464417606:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.44/2.03  % (1416597)Refutation found. Thanks to Tanya!
% 6.44/2.03  % SZS status Unsatisfiable for theBenchmark
% 6.44/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 8.55/2.23  % (1416597)------------------------------
% 8.55/2.23  % (1416597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.23  % (1416597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.23  % (1416597)CaDiCaL version: 2.1.3
% 8.55/2.23  % (1416597)Termination reason: Refutation
% 8.55/2.23  % (1416597)Time elapsed: 0.709 s
% 8.55/2.23  % (1416597)Peak memory usage: 131 MB
% 8.55/2.23  % (1416597)Instructions burned: 1000 (million)
% 8.55/2.23  % (1416597)------------------------------
% 8.55/2.23  % (1416597)------------------------------
% 8.55/2.23  % (1416491)Success in time 1.137 s
% 8.55/2.23  % Vampire exiting
%------------------------------------------------------------------------------