↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC063-1 : 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 01:04:30 PM UTC 2026

% Result   : Unsatisfiable 5.35s 1.81s
% Output   : Refutation 5.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  158 (  18 unt;  14 def)
%            Number of atoms       :  507 (  57 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  662 ( 313   ~; 335   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  15 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   56 (   0 sgn  56   !;   0   ?)

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

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

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

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(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).

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

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(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(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,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | ~ neq(sk4,nil) ),
    inference(reorient_equations,[],[f209]) ).

fof(f211,negated_conjecture,
    ( app(sk6,cons(sk5,nil)) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f212,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ neq(sk4,nil) ),
    inference(reorient_equations,[],[f211]) ).

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

fof(f214,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f215,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f216,negated_conjecture,
    ! [X0] :
      ( nil != sk1
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f219,plain,
    ( nil = sk4
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f213,f204,f204]) ).

fof(f220,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f214,f204,f204,f205]) ).

fof(f221,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f215,f205,f204]) ).

fof(f222,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f216,f205,f204,f205]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f155]) ).

fof(f237,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ frontsegP(app(X0,X1),X0) ),
    inference(consistent_polarity_flipping,[],[f234]) ).

fof(f288,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ segmentP(app(app(X0,X1),X2),X1) ),
    inference(consistent_polarity_flipping,[],[f237]) ).

fof(f295,plain,
    ( ssItem(sk5)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f296,plain,
    ( ssList(sk6)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f297,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f298,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f299,plain,
    ( nil = sk4
    | ~ neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f300,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | neq(X0,nil)
      | segmentP(sk4,X0)
      | segmentP(sk3,X0) ),
    inference(consistent_polarity_flipping,[],[f220]) ).

fof(f301,plain,
    ( nil != sk3
    | ~ neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f302,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | neq(X0,nil)
      | segmentP(sk4,X0)
      | segmentP(sk3,X0) ),
    inference(consistent_polarity_flipping,[],[f222]) ).

fof(f310,definition,
    ( spl0_1
  <=> ! [X0] :
        ( ~ ssList(X0)
        | segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X0] :
        ( neq(X0,nil)
        | segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f313,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f316,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f302,f313,f310]) ).

fof(f318,definition,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f320,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f301,f313,f318]) ).

fof(f323,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f326,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f300,f323,f310]) ).

fof(f327,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f299,f323,f318]) ).

fof(f329,definition,
    ( spl0_5
  <=> sk4 = app(sk6,cons(sk5,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f331,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f332,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f298,f329,f318]) ).

fof(f334,definition,
    ( spl0_6
  <=> sk3 = app(cons(sk5,nil),sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f336,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f337,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f297,f334,f318]) ).

fof(f339,definition,
    ( spl0_7
  <=> ssList(sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f341,plain,
    ( ssList(sk6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f342,plain,
    ( spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f296,f339,f318]) ).

fof(f344,definition,
    ( spl0_8
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f346,plain,
    ( ssItem(sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f347,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f295,f344,f318]) ).

fof(f348,plain,
    ( ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f206,f313,f323]) ).

fof(f354,definition,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f355,plain,
    ( ssList(nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f390,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f354]) ).

fof(f402,definition,
    ( spl0_19
  <=> segmentP(sk4,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f403,plain,
    ( ~ segmentP(sk4,sk4)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f404,plain,
    ( segmentP(sk4,sk4)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f409,plain,
    ( ~ ssList(sk4)
    | ~ spl0_19 ),
    inference(resolution,[],[f251,f404]) ).

fof(f410,plain,
    ( $false
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f409,f203]) ).

fof(f411,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f449,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f202]) ).

fof(f450,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f483,plain,
    ( sk6 = app(nil,sk6)
    | ~ spl0_7 ),
    inference(resolution,[],[f74,f341]) ).

fof(f660,definition,
    ( spl0_20
  <=> nil = sk6 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f661,plain,
    ( nil != sk6
    | spl0_20 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f662,plain,
    ( nil = sk6
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f686,plain,
    ( sk4 = app(nil,cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(superposition,[],[f331,f662]) ).

fof(f745,definition,
    ( spl0_24
  <=> ssList(cons(sk5,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f746,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f747,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_24 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f760,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_24 ),
    inference(resolution,[],[f86,f747]) ).

fof(f767,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_10
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f760,f355]) ).

fof(f768,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_10
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f767,f346]) ).

fof(f769,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_24 ),
    inference(avatar_contradiction_clause,[],[f768]) ).

fof(f870,plain,
    ( cons(sk5,nil) = app(nil,cons(sk5,nil))
    | ~ spl0_24 ),
    inference(resolution,[],[f746,f74]) ).

fof(f873,plain,
    ( sk4 = cons(sk5,nil)
    | ~ spl0_5
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f870,f686]) ).

fof(f945,plain,
    ( sk3 = app(cons(sk5,nil),nil)
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f336,f662]) ).

fof(f960,plain,
    ( segmentP(sk3,sk4)
    | segmentP(sk4,sk4)
    | ~ ssList(sk4)
    | ~ spl0_1
    | spl0_3 ),
    inference(resolution,[],[f311,f320]) ).

fof(f962,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_1 ),
    inference(resolution,[],[f311,f264]) ).

fof(f963,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f962]) ).

fof(f964,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f963,f355]) ).

fof(f973,plain,
    ( segmentP(sk3,sk4)
    | ~ ssList(sk4)
    | ~ spl0_1
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f960,f251]) ).

fof(f974,plain,
    ( segmentP(sk3,sk4)
    | ~ spl0_1
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f973,f203]) ).

fof(f1060,plain,
    ( sk3 = app(sk4,nil)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(superposition,[],[f945,f873]) ).

fof(f1086,plain,
    ( sk3 = sk4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1060,f450]) ).

fof(f1222,plain,
    ! [X0,X1] :
      ( ~ frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f278,f85]) ).

fof(f1236,plain,
    ( ~ frontsegP(sk4,sk6)
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_5 ),
    inference(superposition,[],[f1222,f331]) ).

fof(f1239,plain,
    ( ~ frontsegP(sk4,sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f1236,f341]) ).

fof(f1242,plain,
    ( ~ frontsegP(sk4,sk6)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1239,f746]) ).

fof(f1807,plain,
    ( segmentP(sk4,sk4)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(superposition,[],[f974,f1086]) ).

fof(f1809,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | spl0_19
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1807,f403]) ).

fof(f1810,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | spl0_19
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1809]) ).

fof(f1981,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk6,X0))
        | ~ ssList(nil)
        | ~ ssList(sk6)
        | ~ ssList(X0)
        | ~ segmentP(app(sk6,X0),sk6) )
    | ~ spl0_7 ),
    inference(superposition,[],[f288,f483]) ).

fof(f1987,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk3,X0))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(sk6)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk6) )
    | ~ spl0_6 ),
    inference(superposition,[],[f288,f336]) ).

fof(f1995,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk3,X0))
        | ~ ssList(sk6)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk6) )
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1987,f746]) ).

fof(f1996,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk6,X0))
        | ~ ssList(sk6)
        | ~ ssList(X0)
        | ~ segmentP(app(sk6,X0),sk6) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1981,f355]) ).

fof(f2001,plain,
    ( ! [X0] :
        ( ~ segmentP(app(sk3,X0),sk6)
        | ~ ssList(X0)
        | ~ ssList(app(sk3,X0)) )
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f1995,f341]) ).

fof(f2002,plain,
    ( ! [X0] :
        ( ~ segmentP(app(sk6,X0),sk6)
        | ~ ssList(X0)
        | ~ ssList(app(sk6,X0)) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1996,f341]) ).

fof(f2027,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk4)
    | sk4 = app(sk6,skaf45(sk4,sk6))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(resolution,[],[f1242,f272]) ).

fof(f2028,plain,
    ( ~ ssList(sk4)
    | sk4 = app(sk6,skaf45(sk4,sk6))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f2027,f341]) ).

fof(f2029,plain,
    ( sk4 = app(sk6,skaf45(sk4,sk6))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f2028,f203]) ).

fof(f3850,definition,
    ( spl0_114
  <=> segmentP(sk3,sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f3851,plain,
    ( ~ segmentP(sk3,sk6)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f3850]) ).

fof(f3972,definition,
    ( spl0_127
  <=> segmentP(sk4,sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f3974,plain,
    ( segmentP(sk4,sk6)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f3972]) ).

fof(f6397,plain,
    ( ~ segmentP(sk3,sk6)
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f2001,f449]) ).

fof(f6399,plain,
    ( ~ segmentP(sk3,sk6)
    | ~ ssList(sk3)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f6397,f355]) ).

fof(f6401,plain,
    ( ~ segmentP(sk3,sk6)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f6399,f202]) ).

fof(f6402,plain,
    ( ~ spl0_114
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f6401,f745,f354,f339,f334,f3850]) ).

fof(f6404,plain,
    ( segmentP(sk4,sk6)
    | ~ ssList(sk6)
    | nil = sk6
    | ~ spl0_1
    | ~ spl0_10
    | spl0_114 ),
    inference(resolution,[],[f3851,f964]) ).

fof(f6407,plain,
    ( segmentP(sk4,sk6)
    | nil = sk6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f6404,f341]) ).

fof(f6409,plain,
    ( segmentP(sk4,sk6)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_20
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f6407,f661]) ).

fof(f6410,plain,
    ( spl0_127
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_20
    | spl0_114 ),
    inference(avatar_split_clause,[],[f6409,f3850,f660,f354,f339,f310,f3972]) ).

fof(f54160,plain,
    ( ~ segmentP(sk4,sk6)
    | ~ ssList(skaf45(sk4,sk6))
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24 ),
    inference(superposition,[],[f2002,f2029]) ).

fof(f54165,plain,
    ( ~ ssList(skaf45(sk4,sk6))
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f54160,f3974]) ).

fof(f54169,plain,
    ( ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f54165,f51]) ).

fof(f54175,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f54169,f203]) ).

fof(f54176,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f54175]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_6 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_7 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s9,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s19,plain,
    spl0_10,
    inference(sat_conversion,[],[f390]) ).

cnf(s22,plain,
    ~ spl0_19,
    inference(sat_conversion,[],[f411]) ).

cnf(s29,plain,
    ( ~ spl0_8
    | ~ spl0_10
    | spl0_24 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s60,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_5
    | ~ spl0_6
    | spl0_19
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s285,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f6402]) ).

cnf(s286,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | spl0_20
    | spl0_114
    | spl0_127 ),
    inference(sat_conversion,[],[f6410]) ).

cnf(s2175,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f54176]) ).

cnf(s2210,plain,
    spl0_1,
    inference(rat,[],[s9,s1,s3]) ).

cnf(s2211,plain,
    spl0_3,
    inference(rat,[],[s286,s60,s2175,s285,s29,s5,s6,s7,s8,s19,s2210,s22]) ).

cnf(s2212,plain,
    spl0_4,
    inference(rat,[],[s4,s2211]) ).

cnf(s2213,plain,
    ~ spl0_2,
    inference(rat,[],[s2,s2211]) ).

cnf(s2215,plain,
    $false,
    inference(rat,[],[s9,s2212,s2213]) ).

fof(f54177,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2215]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC063-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  % Computer : n006.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Mon Sep 28 07:40:55 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  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
% 5.35/1.81  % (3802190)Will run a generic schedule for satisfiability detection.
% 5.35/1.81  % (3802199)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1991690138:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.35/1.81  % (3802196)% WARNING: option uhcvi not known.
% 5.35/1.81  % (3802196)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2000795487:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.35/1.81  % (3802195)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1232640314_2999 on theBenchmark for (2999ds/0Mi)
% 5.35/1.81  % (3802197)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1965150360:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.35/1.81  % (3802198)dis+10_1_sil=32000:sp=arity:random_seed=820729064:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.35/1.81  % (3802200)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=634470911:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.35/1.81  % (3802201)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2300616835:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.35/1.81  % TRYING [1]
% 5.35/1.81  % TRYING [2]
% 5.35/1.81  % TRYING [3]
% 5.35/1.81  % (3802199)Instruction limit reached! 
% 5.35/1.81  % (3802199)------------------------------
% 5.35/1.81  % (3802199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802199)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802199)Termination reason: Instruction limit
% 5.35/1.81  % (3802199)Termination phase: Saturation
% 5.35/1.81  % (3802199)Time elapsed: 0.033 s
% 5.35/1.81  % (3802199)Peak memory usage: 13 MB
% 5.35/1.81  % (3802199)Instructions burned: 117 (million)
% 5.35/1.81  % (3802209)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2899672730:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.35/1.81  % TRYING [4]
% 5.35/1.81  % TRYING [1]
% 5.35/1.81  % TRYING [2]
% 5.35/1.81  % TRYING [3]
% 5.35/1.81  % TRYING [4]
% 5.35/1.81  % (3802198)Instruction limit reached! 
% 5.35/1.81  % (3802198)------------------------------
% 5.35/1.81  % (3802198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802198)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802198)Termination reason: Instruction limit
% 5.35/1.81  % (3802198)Termination phase: Saturation
% 5.35/1.81  % (3802198)Time elapsed: 0.060 s
% 5.35/1.81  % (3802198)Peak memory usage: 13 MB
% 5.35/1.81  % (3802198)Instructions burned: 104 (million)
% 5.35/1.81  % (3802200)Instruction limit reached! 
% 5.35/1.81  % (3802200)------------------------------
% 5.35/1.81  % (3802200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802200)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802200)Termination reason: Instruction limit
% 5.35/1.81  % (3802200)Termination phase: Saturation
% 5.35/1.81  % (3802200)Time elapsed: 0.068 s
% 5.35/1.81  % (3802200)Peak memory usage: 14 MB
% 5.35/1.81  % (3802200)Instructions burned: 131 (million)
% 5.35/1.81  % (3802211)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2346101521:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.35/1.81  % (3802212)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=19492595:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.35/1.81  % (3802201)Instruction limit reached! 
% 5.35/1.81  % (3802201)------------------------------
% 5.35/1.81  % (3802201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802201)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802201)Termination reason: Instruction limit
% 5.35/1.81  % (3802201)Termination phase: Saturation
% 5.35/1.81  % (3802201)Time elapsed: 0.090 s
% 5.35/1.81  % (3802201)Peak memory usage: 14 MB
% 5.35/1.81  % (3802201)Instructions burned: 161 (million)
% 5.35/1.81  % TRYING [5]
% 5.35/1.81  % TRYING [5]
% 5.35/1.81  % (3802215)ott-21_1_sil=16000:fs=off:random_seed=3958144513:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.35/1.81  % (3802211)Instruction limit reached! 
% 5.35/1.81  % (3802211)------------------------------
% 5.35/1.81  % (3802211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802211)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802211)Termination reason: Instruction limit
% 5.35/1.81  % (3802211)Termination phase: Saturation
% 5.35/1.81  % (3802211)Time elapsed: 0.073 s
% 5.35/1.81  % (3802211)Peak memory usage: 14 MB
% 5.35/1.81  % (3802211)Instructions burned: 132 (million)
% 5.35/1.81  % (3802217)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1186283910:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.35/1.81  % TRYING [6]
% 5.35/1.81  % (3802209)Instruction limit reached! 
% 5.35/1.81  % (3802209)------------------------------
% 5.35/1.81  % (3802209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802209)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802209)Termination reason: Instruction limit
% 5.35/1.81  % (3802209)Termination phase: Finite model building constraint generation
% 5.35/1.81  % (3802209)Time elapsed: 0.155 s
% 5.35/1.81  % (3802209)Peak memory usage: 34 MB
% 5.35/1.81  % (3802209)Instructions burned: 720 (million)
% 5.35/1.81  % (3802215)Instruction limit reached! 
% 5.35/1.81  % (3802215)------------------------------
% 5.35/1.81  % (3802215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802215)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802215)Termination reason: Instruction limit
% 5.35/1.81  % (3802215)Termination phase: Saturation
% 5.35/1.81  % (3802215)Time elapsed: 0.090 s
% 5.35/1.81  % (3802215)Peak memory usage: 13 MB
% 5.35/1.81  % (3802215)Instructions burned: 181 (million)
% 5.35/1.81  % (3802219)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2159260677:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.35/1.81  % TRYING [1]
% 5.35/1.81  % TRYING [2]
% 5.35/1.81  % TRYING [3]
% 5.35/1.81  % (3802220)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=282201493:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.35/1.81  % TRYING [4]
% 5.35/1.81  % TRYING [6]
% 5.35/1.81  % TRYING [5]
% 5.35/1.81  % (3802219)Instruction limit reached! 
% 5.35/1.81  % (3802219)------------------------------
% 5.35/1.81  % (3802219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802219)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802219)Termination reason: Instruction limit
% 5.35/1.81  % (3802219)Termination phase: Finite model building SAT solving
% 5.35/1.81  % (3802219)Time elapsed: 0.178 s
% 5.35/1.81  % (3802219)Peak memory usage: 22 MB
% 5.35/1.81  % (3802219)Instructions burned: 866 (million)
% 5.35/1.81  % (3802223)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2360687155:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.35/1.81  % TRYING [14]
% 5.35/1.81  % (3802212)Instruction limit reached! 
% 5.35/1.81  % (3802212)------------------------------
% 5.35/1.81  % (3802212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802212)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802212)Termination reason: Instruction limit
% 5.35/1.81  % (3802212)Termination phase: Saturation
% 5.35/1.81  % (3802212)Time elapsed: 0.394 s
% 5.35/1.81  % (3802212)Peak memory usage: 20 MB
% 5.35/1.81  % (3802212)Instructions burned: 684 (million)
% 5.35/1.81  % (3802217)Instruction limit reached! 
% 5.35/1.81  % (3802217)------------------------------
% 5.35/1.81  % (3802217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802217)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802217)Termination reason: Instruction limit
% 5.35/1.81  % (3802217)Termination phase: Saturation
% 5.35/1.81  % (3802217)Time elapsed: 0.326 s
% 5.35/1.81  % (3802217)Peak memory usage: 15 MB
% 5.35/1.81  % (3802217)Instructions burned: 478 (million)
% 5.35/1.81  % (3802225)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=2272028104:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.35/1.81  % (3802226)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2413125404:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.35/1.81  % (3802223)Instruction limit reached! 
% 5.35/1.81  % (3802223)------------------------------
% 5.35/1.81  % (3802223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802223)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802223)Termination reason: Instruction limit
% 5.35/1.81  % (3802223)Termination phase: Finite model building constraint generation
% 5.35/1.81  % (3802223)Time elapsed: 0.178 s
% 5.35/1.81  % (3802223)Peak memory usage: 72 MB
% 5.35/1.81  % (3802223)Instructions burned: 890 (million)
% 5.35/1.81  % (3802229)fmb+10_1_sil=64000:random_seed=866708076:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.35/1.81  % TRYING [1]
% 5.35/1.81  % TRYING [2]
% 5.35/1.81  % TRYING [3]
% 5.35/1.81  % TRYING [4]
% 5.35/1.81  % TRYING [5]
% 5.35/1.81  % TRYING [7]
% 5.35/1.81  % (3802225)Instruction limit reached! 
% 5.35/1.81  % (3802225)------------------------------
% 5.35/1.81  % (3802225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802225)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802225)Termination reason: Instruction limit
% 5.35/1.81  % (3802225)Termination phase: Saturation
% 5.35/1.81  % (3802225)Time elapsed: 0.373 s
% 5.35/1.81  % (3802225)Peak memory usage: 21 MB
% 5.35/1.81  % (3802225)Instructions burned: 692 (million)
% 5.35/1.81  % (3802220)Instruction limit reached! 
% 5.35/1.81  % (3802220)------------------------------
% 5.35/1.81  % (3802220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802220)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802220)Termination reason: Instruction limit
% 5.35/1.81  % (3802220)Termination phase: Saturation
% 5.35/1.81  % (3802220)Time elapsed: 0.665 s
% 5.35/1.81  % (3802220)Peak memory usage: 30 MB
% 5.35/1.81  % (3802220)Instructions burned: 1179 (million)
% 5.35/1.81  % (3802231)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1509096215:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 5.35/1.81  % TRYING [20]
% 5.35/1.81  % (3802232)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1834377706:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 5.35/1.81  % TRYING [8]
% 5.35/1.81  % TRYING [6]
% 5.35/1.81  % (3802226)Instruction limit reached! 
% 5.35/1.81  % (3802226)------------------------------
% 5.35/1.81  % (3802226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802226)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802226)Termination reason: Instruction limit
% 5.35/1.81  % (3802226)Termination phase: Saturation
% 5.35/1.81  % (3802226)Time elapsed: 0.464 s
% 5.35/1.81  % (3802226)Peak memory usage: 21 MB
% 5.35/1.81  % (3802226)Instructions burned: 879 (million)
% 5.35/1.81  % (3802235)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=898274397:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 5.35/1.81  % (3802232)Instruction limit reached! 
% 5.35/1.81  % (3802232)------------------------------
% 5.35/1.81  % (3802232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.81  % (3802232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.81  % (3802232)CaDiCaL version: 2.1.3
% 5.35/1.81  % (3802232)Termination reason: Instruction limit
% 5.35/1.81  % (3802232)Termination phase: Finite model building constraint generation
% 5.35/1.81  % (3802232)Time elapsed: 0.335 s
% 5.35/1.81  % (3802232)Peak memory usage: 79 MB
% 5.35/1.81  % (3802232)Instructions burned: 922 (million)
% 5.35/1.81  % (3802237)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3882460864:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 5.35/1.81  % (3802196) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3802190-3802196"...
% 5.35/1.81  % (3802196)...printing done.
% 5.35/1.81  % (3802196)Refutation found. Thanks to Tanya!
% 5.35/1.81  % SZS status Unsatisfiable for theBenchmark
% 5.35/1.81  % SZS output start Proof for theBenchmark
% See solution above
% 5.35/1.82  % (3802196)------------------------------
% 5.35/1.82  % (3802196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.35/1.82  % (3802196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.82  % (3802196)CaDiCaL version: 2.1.3
% 5.35/1.82  % (3802196)Termination reason: Refutation
% 5.35/1.82  % (3802196)Time elapsed: 1.316 s
% 5.35/1.82  % (3802196)Peak memory usage: 35 MB
% 5.35/1.82  % (3802196)Instructions burned: 2350 (million)
% 5.35/1.82  % (3802190)Success in time 1.375 s
% 5.35/1.82  % Vampire exiting
%------------------------------------------------------------------------------