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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 01:04:33 PM UTC 2026

% Result   : Unsatisfiable 12.19s 2.19s
% Output   : Refutation 12.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  159 (  34 unt;   9 def)
%            Number of atoms       :  425 (  90 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  530 ( 264   ~; 257   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  10 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

fof(f58,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

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

fof(f121,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

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

fof(f142,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

fof(f154,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | rearsegP(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) = nil ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).

fof(f157,plain,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = app(X0,X1) ),
    inference(reorient_equations,[],[f156]) ).

fof(f163,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).

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/Axioms/SWC001-0.ax',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,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    app(sk5,sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,plain,
    sk4 = app(sk5,sk6),
    inference(reorient_equations,[],[f209]) ).

fof(f211,negated_conjecture,
    app(sk6,sk5) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f212,plain,
    sk3 = app(sk6,sk5),
    inference(reorient_equations,[],[f211]) ).

fof(f213,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f216,plain,
    ! [X0] :
      ( ~ neq(X0,nil)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f206,f204,f205]) ).

fof(f217,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f213,f204,f205]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | rearsegP(app(X0,X1),X1) ),
    inference(equality_resolution,[],[f154]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f155]) ).

fof(f230,plain,
    ! [X1] :
      ( nil != X1
      | ~ ssList(X1)
      | ~ ssList(nil)
      | nil = app(nil,X1) ),
    inference(equality_resolution,[],[f157]) ).

fof(f231,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f230]) ).

fof(f232,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(f265,plain,
    ! [X0] :
      ( ~ rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ rearsegP(app(X0,X1),X1) ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f355,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f361,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f365,definition,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f366,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f368,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f217,f365,f361]) ).

fof(f370,definition,
    ( spl0_3
  <=> nil = app(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f372,plain,
    ( nil = app(nil,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f374,definition,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f375,plain,
    ( ssList(nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f377,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f355,f374,f370]) ).

fof(f410,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f8,f374]) ).

fof(f447,plain,
    ! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
    inference(resolution,[],[f73,f50]) ).

fof(f451,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f202]) ).

fof(f452,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f486,plain,
    sk6 = app(nil,sk6),
    inference(resolution,[],[f74,f208]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil = X0
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(resolution,[],[f102,f216]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil = X0
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f528]) ).

fof(f532,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | nil = X0
        | ~ ssList(X0)
        | ~ segmentP(sk3,X0) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f531,f375]) ).

fof(f534,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ segmentP(sk3,sk4)
    | ~ ssList(sk4)
    | ~ spl0_4 ),
    inference(resolution,[],[f532,f57]) ).

fof(f535,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ segmentP(sk3,sk4)
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f534]) ).

fof(f536,plain,
    ( nil = sk4
    | ~ segmentP(sk3,sk4)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f535,f203]) ).

fof(f538,definition,
    ( spl0_12
  <=> segmentP(sk3,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ segmentP(sk3,sk4)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( ~ spl0_12
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f536,f374,f365,f538]) ).

fof(f684,definition,
    ( spl0_13
  <=> nil = sk6 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f685,plain,
    ( nil != sk6
    | spl0_13 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f686,plain,
    ( nil = sk6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f693,definition,
    ( spl0_15
  <=> nil = sk5 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f695,plain,
    ( nil = sk5
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f768,plain,
    ( nil != sk4
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil = sk5 ),
    inference(superposition,[],[f122,f210]) ).

fof(f772,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f768,f366]) ).

fof(f773,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f772,f208]) ).

fof(f774,plain,
    ( nil = sk5
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f773,f207]) ).

fof(f775,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f774,f365,f693]) ).

fof(f792,plain,
    ( sk3 = app(sk6,nil)
    | ~ spl0_15 ),
    inference(superposition,[],[f212,f695]) ).

fof(f797,plain,
    ( sk3 = app(nil,nil)
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f792,f686]) ).

fof(f799,plain,
    ( nil = sk3
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f797,f372]) ).

fof(f820,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f799,f693,f684,f370,f361]) ).

fof(f842,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f229,f85]) ).

fof(f857,plain,
    ( frontsegP(sk3,sk6)
    | ~ ssList(sk6)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f842,f212]) ).

fof(f861,plain,
    ( frontsegP(sk3,sk6)
    | ~ ssList(sk5) ),
    inference(forward_subsumption_resolution,[],[f857,f208]) ).

fof(f864,plain,
    frontsegP(sk3,sk6),
    inference(forward_subsumption_resolution,[],[f861,f207]) ).

fof(f1034,plain,
    ! [X0,X1] :
      ( ~ rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f324,f85]) ).

fof(f1046,plain,
    ( ~ rearsegP(sk4,sk6)
    | ~ ssList(sk6)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f1034,f210]) ).

fof(f1052,plain,
    ( ~ rearsegP(sk4,sk6)
    | ~ ssList(sk5) ),
    inference(forward_subsumption_resolution,[],[f1046,f208]) ).

fof(f1054,plain,
    ~ rearsegP(sk4,sk6),
    inference(forward_subsumption_resolution,[],[f1052,f207]) ).

fof(f1099,definition,
    ( spl0_27
  <=> sk4 = sk5 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f1101,plain,
    ( sk4 = sk5
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1112,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk3)
    | sk3 = app(sk6,skaf45(sk3,sk6)) ),
    inference(resolution,[],[f143,f864]) ).

fof(f1117,plain,
    ( ~ ssList(sk3)
    | sk3 = app(sk6,skaf45(sk3,sk6)) ),
    inference(forward_subsumption_resolution,[],[f1112,f208]) ).

fof(f1122,plain,
    sk3 = app(sk6,skaf45(sk3,sk6)),
    inference(forward_subsumption_resolution,[],[f1117,f202]) ).

fof(f1143,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(X0)
      | app(skaf46(X0,nil),nil) = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f316,f265]) ).

fof(f1145,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | ~ ssList(X0)
      | app(skaf46(X0,nil),nil) = X0 ),
    inference(duplicate_literal_removal,[],[f1143]) ).

fof(f1150,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(skaf46(X0,nil),nil) = X0 )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1145,f375]) ).

fof(f1195,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk4)
    | sk4 = app(skaf46(sk4,sk6),sk6) ),
    inference(resolution,[],[f1054,f316]) ).

fof(f1196,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf46(sk4,sk6),sk6) ),
    inference(forward_subsumption_resolution,[],[f1195,f208]) ).

fof(f1197,plain,
    sk4 = app(skaf46(sk4,sk6),sk6),
    inference(forward_subsumption_resolution,[],[f1196,f203]) ).

fof(f2230,plain,
    ! [X0] :
      ( sk4 != app(X0,sk6)
      | ~ ssList(X0)
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | sk5 = X0 ),
    inference(superposition,[],[f163,f210]) ).

fof(f2245,plain,
    ! [X0] :
      ( sk4 != app(X0,sk6)
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | sk5 = X0 ),
    inference(forward_subsumption_resolution,[],[f2230,f208]) ).

fof(f2277,plain,
    ! [X0] :
      ( sk4 != app(X0,sk6)
      | ~ ssList(X0)
      | sk5 = X0 ),
    inference(forward_subsumption_resolution,[],[f2245,f207]) ).

fof(f2706,plain,
    ! [X0] :
      ( ~ ssList(app(sk6,X0))
      | ~ ssList(nil)
      | ~ ssList(sk6)
      | ~ ssList(X0)
      | segmentP(app(sk6,X0),sk6) ),
    inference(superposition,[],[f232,f486]) ).

fof(f2713,plain,
    ! [X0] :
      ( ~ ssList(app(sk4,X0))
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | ~ ssList(X0)
      | segmentP(app(sk4,X0),sk6) ),
    inference(superposition,[],[f232,f210]) ).

fof(f2716,plain,
    ! [X0] :
      ( ~ ssList(app(sk3,X0))
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | segmentP(app(sk3,X0),sk5) ),
    inference(superposition,[],[f232,f212]) ).

fof(f2722,plain,
    ! [X0] :
      ( ~ ssList(app(sk3,X0))
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | segmentP(app(sk3,X0),sk5) ),
    inference(forward_subsumption_resolution,[],[f2716,f208]) ).

fof(f2724,plain,
    ! [X0] :
      ( ~ ssList(app(sk4,X0))
      | ~ ssList(sk6)
      | ~ ssList(X0)
      | segmentP(app(sk4,X0),sk6) ),
    inference(forward_subsumption_resolution,[],[f2713,f207]) ).

fof(f2725,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk6,X0))
        | ~ ssList(sk6)
        | ~ ssList(X0)
        | segmentP(app(sk6,X0),sk6) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f2706,f375]) ).

fof(f2731,plain,
    ! [X0] :
      ( ~ ssList(app(sk3,X0))
      | ~ ssList(X0)
      | segmentP(app(sk3,X0),sk5) ),
    inference(forward_subsumption_resolution,[],[f2722,f207]) ).

fof(f2733,plain,
    ! [X0] :
      ( ~ ssList(app(sk4,X0))
      | ~ ssList(X0)
      | segmentP(app(sk4,X0),sk6) ),
    inference(forward_subsumption_resolution,[],[f2724,f208]) ).

fof(f2734,plain,
    ( ! [X0] :
        ( segmentP(app(sk6,X0),sk6)
        | ~ ssList(X0)
        | ~ ssList(app(sk6,X0)) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f2725,f208]) ).

fof(f4511,plain,
    ( sk4 != sk4
    | ~ ssList(skaf46(sk4,sk6))
    | sk5 = skaf46(sk4,sk6) ),
    inference(superposition,[],[f2277,f1197]) ).

fof(f4513,plain,
    ( ~ ssList(skaf46(sk4,sk6))
    | sk5 = skaf46(sk4,sk6) ),
    inference(trivial_inequality_removal,[],[f4511]) ).

fof(f4514,plain,
    sk5 = skaf46(sk4,sk6),
    inference(forward_subsumption_resolution,[],[f4513,f50]) ).

fof(f5155,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | segmentP(sk3,sk5) ),
    inference(superposition,[],[f2731,f451]) ).

fof(f5157,plain,
    ( ~ ssList(nil)
    | segmentP(sk3,sk5) ),
    inference(forward_subsumption_resolution,[],[f5155,f202]) ).

fof(f5159,plain,
    ( segmentP(sk3,sk5)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f5157,f375]) ).

fof(f5161,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | segmentP(sk4,sk6) ),
    inference(superposition,[],[f2733,f452]) ).

fof(f5163,plain,
    ( ~ ssList(nil)
    | segmentP(sk4,sk6) ),
    inference(forward_subsumption_resolution,[],[f5161,f203]) ).

fof(f5165,plain,
    ( segmentP(sk4,sk6)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f5163,f375]) ).

fof(f5740,plain,
    ( nil = sk6
    | ~ ssList(sk6)
    | ~ segmentP(sk3,sk6)
    | ~ spl0_4 ),
    inference(resolution,[],[f5165,f532]) ).

fof(f5749,plain,
    ( ~ ssList(sk6)
    | ~ segmentP(sk3,sk6)
    | ~ spl0_4
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f5740,f685]) ).

fof(f5754,plain,
    ( ~ segmentP(sk3,sk6)
    | ~ spl0_4
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f5749,f208]) ).

fof(f7950,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | skaf46(X0,nil) = X0 )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1150,f447]) ).

fof(f7987,plain,
    ( sk4 = skaf46(sk4,nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f7950,f203]) ).

fof(f23256,definition,
    ( spl0_675
  <=> segmentP(sk3,sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_675])],[avatar_definition]) ).

fof(f23258,plain,
    ( ~ segmentP(sk3,sk6)
    | spl0_675 ),
    inference(avatar_component_clause,[],[f23256]) ).

fof(f23289,plain,
    ( sk5 = skaf46(sk4,nil)
    | ~ spl0_13 ),
    inference(superposition,[],[f4514,f686]) ).

fof(f23352,plain,
    ( sk4 = sk5
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f23289,f7987]) ).

fof(f23413,plain,
    ( spl0_27
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f23352,f684,f374,f1099]) ).

fof(f23494,plain,
    ( segmentP(sk3,sk4)
    | ~ spl0_4
    | ~ spl0_27 ),
    inference(superposition,[],[f5159,f1101]) ).

fof(f23552,plain,
    ( $false
    | ~ spl0_4
    | spl0_12
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f23494,f540]) ).

fof(f23553,plain,
    ( ~ spl0_4
    | spl0_12
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f23552]) ).

fof(f23749,plain,
    ( ~ spl0_675
    | ~ spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f5754,f684,f374,f23256]) ).

fof(f72685,plain,
    ( segmentP(sk3,sk6)
    | ~ ssList(skaf45(sk3,sk6))
    | ~ ssList(sk3)
    | ~ spl0_4 ),
    inference(superposition,[],[f2734,f1122]) ).

fof(f72693,plain,
    ( ~ ssList(skaf45(sk3,sk6))
    | ~ ssList(sk3)
    | ~ spl0_4
    | spl0_675 ),
    inference(forward_subsumption_resolution,[],[f72685,f23258]) ).

fof(f72699,plain,
    ( ~ ssList(sk3)
    | ~ spl0_4
    | spl0_675 ),
    inference(forward_subsumption_resolution,[],[f72693,f51]) ).

fof(f72702,plain,
    ( $false
    | ~ spl0_4
    | spl0_675 ),
    inference(forward_subsumption_resolution,[],[f72699,f202]) ).

fof(f72703,plain,
    ( ~ spl0_4
    | spl0_675 ),
    inference(avatar_contradiction_clause,[],[f72702]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s2,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s11,plain,
    spl0_4,
    inference(sat_conversion,[],[f410]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s18,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s863,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_27 ),
    inference(sat_conversion,[],[f23413]) ).

cnf(s883,plain,
    ( ~ spl0_4
    | spl0_12
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f23553]) ).

cnf(s911,plain,
    ( ~ spl0_4
    | spl0_13
    | ~ spl0_675 ),
    inference(sat_conversion,[],[f23749]) ).

cnf(s2901,plain,
    ( ~ spl0_4
    | spl0_675 ),
    inference(sat_conversion,[],[f72703]) ).

cnf(s3068,plain,
    spl0_675,
    inference(rat,[],[s2901,s11]) ).

cnf(s3069,plain,
    spl0_13,
    inference(rat,[],[s911,s3068,s11]) ).

cnf(s3075,plain,
    spl0_27,
    inference(rat,[],[s863,s11,s3069]) ).

cnf(s3081,plain,
    spl0_12,
    inference(rat,[],[s883,s11,s3075]) ).

cnf(s3084,plain,
    spl0_2,
    inference(rat,[],[s12,s11,s3081]) ).

cnf(s3085,plain,
    spl0_15,
    inference(rat,[],[s18,s3084]) ).

cnf(s3092,plain,
    spl0_3,
    inference(rat,[],[s2,s11]) ).

cnf(s3093,plain,
    spl0_1,
    inference(rat,[],[s24,s3085,s3069,s3092]) ).

cnf(s3094,plain,
    $false,
    inference(rat,[],[s1,s3084,s3093]) ).

fof(f72704,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3094]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 07:43:40 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.19/2.19  % (3806177)Will run a generic schedule for satisfiability detection.
% 12.19/2.19  % (3806187)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3071188810:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.19/2.19  % (3806183)% WARNING: option uhcvi not known.
% 12.19/2.19  % (3806184)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=843108937:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.19/2.19  % (3806185)dis+10_1_sil=32000:sp=arity:random_seed=341768850:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.19/2.19  % (3806182)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=342513963_2999 on theBenchmark for (2999ds/0Mi)
% 12.19/2.19  % (3806188)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2824186416:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.19/2.19  % (3806186)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=655801497:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.19/2.19  % (3806183)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2023421715:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.19/2.19  % TRYING [1]
% 12.19/2.19  % TRYING [2]
% 12.19/2.19  % TRYING [3]
% 12.19/2.19  % (3806187)Instruction limit reached! 
% 12.19/2.19  % (3806187)------------------------------
% 12.19/2.19  % (3806187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806187)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806187)Termination reason: Instruction limit
% 12.19/2.19  % (3806187)Termination phase: Saturation
% 12.19/2.19  % (3806187)Time elapsed: 0.037 s
% 12.19/2.19  % (3806187)Peak memory usage: 14 MB
% 12.19/2.19  % (3806187)Instructions burned: 132 (million)
% 12.19/2.19  % TRYING [4]
% 12.19/2.19  % (3806196)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2700642283:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.19/2.19  % TRYING [1]
% 12.19/2.19  % TRYING [2]
% 12.19/2.19  % TRYING [3]
% 12.19/2.19  % (3806185)Instruction limit reached! 
% 12.19/2.19  % (3806185)------------------------------
% 12.19/2.19  % (3806185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806185)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806185)Termination reason: Instruction limit
% 12.19/2.19  % (3806185)Termination phase: Saturation
% 12.19/2.19  % (3806185)Time elapsed: 0.060 s
% 12.19/2.19  % (3806185)Peak memory usage: 13 MB
% 12.19/2.19  % (3806185)Instructions burned: 104 (million)
% 12.19/2.19  % (3806186)Instruction limit reached! 
% 12.19/2.19  % (3806186)------------------------------
% 12.19/2.19  % (3806186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806186)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806186)Termination reason: Instruction limit
% 12.19/2.19  % (3806186)Termination phase: Saturation
% 12.19/2.19  % (3806186)Time elapsed: 0.062 s
% 12.19/2.19  % (3806186)Peak memory usage: 13 MB
% 12.19/2.19  % (3806186)Instructions burned: 117 (million)
% 12.19/2.19  % TRYING [4]
% 12.19/2.19  % (3806198)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1489110617:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.19/2.19  % (3806199)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2002863140:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 12.19/2.19  % (3806188)Instruction limit reached! 
% 12.19/2.19  % (3806188)------------------------------
% 12.19/2.19  % (3806188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806188)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806188)Termination reason: Instruction limit
% 12.19/2.19  % (3806188)Termination phase: Saturation
% 12.19/2.19  % (3806188)Time elapsed: 0.097 s
% 12.19/2.19  % (3806188)Peak memory usage: 14 MB
% 12.19/2.19  % (3806188)Instructions burned: 160 (million)
% 12.19/2.19  % TRYING [5]
% 12.19/2.19  % TRYING [5]
% 12.19/2.19  % (3806202)ott-21_1_sil=16000:fs=off:random_seed=2282461987:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.19/2.19  % (3806198)Instruction limit reached! 
% 12.19/2.19  % (3806198)------------------------------
% 12.19/2.19  % (3806198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806198)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806198)Termination reason: Instruction limit
% 12.19/2.19  % (3806198)Termination phase: Saturation
% 12.19/2.19  % (3806198)Time elapsed: 0.072 s
% 12.19/2.19  % (3806198)Peak memory usage: 14 MB
% 12.19/2.19  % (3806198)Instructions burned: 131 (million)
% 12.19/2.19  % (3806204)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1185457679:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.19/2.19  % TRYING [6]
% 12.19/2.19  % (3806196)Instruction limit reached! 
% 12.19/2.19  % (3806196)------------------------------
% 12.19/2.19  % (3806196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806196)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806196)Termination reason: Instruction limit
% 12.19/2.19  % (3806196)Termination phase: Finite model building constraint generation
% 12.19/2.19  % (3806196)Time elapsed: 0.153 s
% 12.19/2.19  % (3806196)Peak memory usage: 34 MB
% 12.19/2.19  % (3806196)Instructions burned: 716 (million)
% 12.19/2.19  % (3806202)Instruction limit reached! 
% 12.19/2.19  % (3806202)------------------------------
% 12.19/2.19  % (3806202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806202)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806202)Termination reason: Instruction limit
% 12.19/2.19  % (3806202)Termination phase: Saturation
% 12.19/2.19  % (3806202)Time elapsed: 0.089 s
% 12.19/2.19  % (3806202)Peak memory usage: 13 MB
% 12.19/2.19  % (3806202)Instructions burned: 181 (million)
% 12.19/2.19  % (3806206)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3290140482:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.19/2.19  % TRYING [1]
% 12.19/2.19  % TRYING [2]
% 12.19/2.19  % TRYING [3]
% 12.19/2.19  % (3806207)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=547333157:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 12.19/2.19  % TRYING [4]
% 12.19/2.19  % TRYING [6]
% 12.19/2.19  % TRYING [5]
% 12.19/2.19  % (3806206)Instruction limit reached! 
% 12.19/2.19  % (3806206)------------------------------
% 12.19/2.19  % (3806206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806206)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806206)Termination reason: Instruction limit
% 12.19/2.19  % (3806206)Termination phase: Finite model building SAT solving
% 12.19/2.19  % (3806206)Time elapsed: 0.179 s
% 12.19/2.19  % (3806206)Peak memory usage: 22 MB
% 12.19/2.19  % (3806206)Instructions burned: 871 (million)
% 12.19/2.19  % (3806210)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2163797454:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.19/2.19  % (3806199)Instruction limit reached! 
% 12.19/2.19  % (3806199)------------------------------
% 12.19/2.19  % (3806199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806199)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806199)Termination reason: Instruction limit
% 12.19/2.19  % (3806199)Termination phase: Saturation
% 12.19/2.19  % (3806199)Time elapsed: 0.377 s
% 12.19/2.19  % (3806199)Peak memory usage: 20 MB
% 12.19/2.19  % (3806199)Instructions burned: 684 (million)
% 12.19/2.19  % (3806204)Instruction limit reached! 
% 12.19/2.19  % (3806204)------------------------------
% 12.19/2.19  % (3806204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806204)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806204)Termination reason: Instruction limit
% 12.19/2.19  % (3806204)Termination phase: Saturation
% 12.19/2.19  % (3806204)Time elapsed: 0.302 s
% 12.19/2.19  % (3806204)Peak memory usage: 14 MB
% 12.19/2.19  % (3806204)Instructions burned: 477 (million)
% 12.19/2.19  % (3806212)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3071541780:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 12.19/2.19  % (3806213)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3678147040:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 12.19/2.19  % TRYING [14]
% 12.19/2.19  % (3806210)Instruction limit reached! 
% 12.19/2.19  % (3806210)------------------------------
% 12.19/2.19  % (3806210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806210)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806210)Termination reason: Instruction limit
% 12.19/2.19  % (3806210)Termination phase: Finite model building constraint generation
% 12.19/2.19  % (3806210)Time elapsed: 0.245 s
% 12.19/2.19  % (3806210)Peak memory usage: 73 MB
% 12.19/2.19  % (3806210)Instructions burned: 892 (million)
% 12.19/2.19  % (3806216)fmb+10_1_sil=64000:random_seed=3507702653:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 12.19/2.19  % TRYING [1]
% 12.19/2.19  % TRYING [2]
% 12.19/2.19  % TRYING [3]
% 12.19/2.19  % TRYING [4]
% 12.19/2.19  % TRYING [7]
% 12.19/2.19  % TRYING [5]
% 12.19/2.19  % (3806212)Instruction limit reached! 
% 12.19/2.19  % (3806212)------------------------------
% 12.19/2.19  % (3806212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806212)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806212)Termination reason: Instruction limit
% 12.19/2.19  % (3806212)Termination phase: Saturation
% 12.19/2.19  % (3806212)Time elapsed: 0.369 s
% 12.19/2.19  % (3806212)Peak memory usage: 20 MB
% 12.19/2.19  % (3806212)Instructions burned: 692 (million)
% 12.19/2.19  % (3806218)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4056937598:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.19/2.19  % (3806207)Instruction limit reached! 
% 12.19/2.19  % (3806207)------------------------------
% 12.19/2.19  % (3806207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806207)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806207)Termination reason: Instruction limit
% 12.19/2.19  % (3806207)Termination phase: Saturation
% 12.19/2.19  % (3806207)Time elapsed: 0.656 s
% 12.19/2.19  % (3806207)Peak memory usage: 28 MB
% 12.19/2.19  % (3806207)Instructions burned: 1180 (million)
% 12.19/2.19  % TRYING [20]
% 12.19/2.19  % (3806220)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1902087942:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 12.19/2.19  % TRYING [8]
% 12.19/2.19  % (3806213)Instruction limit reached! 
% 12.19/2.19  % (3806213)------------------------------
% 12.19/2.19  % (3806213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806213)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806213)Termination reason: Instruction limit
% 12.19/2.19  % (3806213)Termination phase: Saturation
% 12.19/2.19  % (3806213)Time elapsed: 0.462 s
% 12.19/2.19  % (3806213)Peak memory usage: 21 MB
% 12.19/2.19  % (3806213)Instructions burned: 879 (million)
% 12.19/2.19  % (3806222)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=670211053:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 12.19/2.19  % TRYING [6]
% 12.19/2.19  % (3806220)Instruction limit reached! 
% 12.19/2.19  % (3806220)------------------------------
% 12.19/2.19  % (3806220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.19/2.19  % (3806220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.19  % (3806220)CaDiCaL version: 2.1.3
% 12.19/2.19  % (3806220)Termination reason: Instruction limit
% 12.19/2.19  % (3806220)Termination phase: Finite model building constraint generation
% 12.19/2.19  % (3806220)Time elapsed: 0.332 s
% 12.19/2.19  % (3806220)Peak memory usage: 79 MB
% 12.19/2.19  % (3806220)Instructions burned: 920 (million)
% 12.19/2.19  % (3806225)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2805782490:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 12.19/2.19  % TRYING [7]
% 12.19/2.19  % TRYING [8]
% 12.19/2.19  % (3806183) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3806177-3806183"...
% 12.19/2.19  % (3806183)...printing done.
% 12.19/2.19  % (3806183)Refutation found. Thanks to Tanya!
% 12.19/2.19  % SZS status Unsatisfiable for theBenchmark
% 12.19/2.19  % SZS output start Proof for theBenchmark
% See solution above
% 12.59/2.20  % (3806183)------------------------------
% 12.59/2.20  % (3806183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.20  % (3806183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.20  % (3806183)CaDiCaL version: 2.1.3
% 12.59/2.20  % (3806183)Termination reason: Refutation
% 12.59/2.20  % (3806183)Time elapsed: 1.714 s
% 12.59/2.20  % (3806183)Peak memory usage: 44 MB
% 12.59/2.20  % (3806183)Instructions burned: 3152 (million)
% 12.59/2.20  % (3806177)Success in time 1.787 s
% 12.59/2.20  % Vampire exiting
%------------------------------------------------------------------------------