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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC058-1 : 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 : n002.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 01:04:29 PM UTC 2026

% Result   : Unsatisfiable 5.89s 1.31s
% Output   : Refutation 5.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  125 (  21 unt;  10 def)
%            Number of atoms       :  363 (  42 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  455 ( 217   ~; 228   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn  41   !;   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(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(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(f79,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

fof(f124,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    inference(reorient_equations,[],[f123]) ).

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(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X3,X0),X2),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',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/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(f207,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

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

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

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

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

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

fof(f217,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f207,f204,f204,f205]) ).

fof(f218,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f208,f205,f204]) ).

fof(f219,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f209,f205,f204,f205]) ).

fof(f220,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f234,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(f286,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f315,plain,
    ( nil = sk4
    | ~ rearsegP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f316,plain,
    ( nil = sk3
    | ~ rearsegP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f324,definition,
    ( spl0_1
  <=> rearsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f326,plain,
    ( ~ rearsegP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f328,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f330,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f331,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f316,f328,f324]) ).

fof(f333,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f335,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f336,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f328,f333]) ).

fof(f338,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f340,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f341,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f315,f338,f324]) ).

fof(f342,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f210,f338,f333]) ).

fof(f344,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X0] :
        ( ~ neq(X0,nil)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f346,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f219,f328,f344]) ).

fof(f348,definition,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f350,plain,
    ( neq(sk4,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f351,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f218,f328,f348]) ).

fof(f352,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f217,f338,f344]) ).

fof(f359,definition,
    ( spl0_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f360,plain,
    ( ssList(nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f382,definition,
    ( spl0_13
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f384,plain,
    ( segmentP(nil,nil)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,plain,
    ( spl0_13
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f220,f359,f382]) ).

fof(f395,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f8,f359]) ).

fof(f439,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f202]) ).

fof(f440,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f507,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f345,f335]) ).

fof(f508,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ segmentP(sk4,sk4)
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f345,f350]) ).

fof(f509,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f508,f57]) ).

fof(f510,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f507,f57]) ).

fof(f511,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f509,f203]) ).

fof(f512,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f510,f202]) ).

fof(f1034,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(skaf46(sk4,sk3),sk3)
    | spl0_1 ),
    inference(resolution,[],[f286,f326]) ).

fof(f1039,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf46(sk4,sk3),sk3)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1034,f202]) ).

fof(f1043,plain,
    ( sk4 = app(skaf46(sk4,sk3),sk3)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1039,f203]) ).

fof(f1642,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssList(nil)
        | segmentP(app(app(X1,nil),X0),nil) )
    | ~ spl0_13 ),
    inference(resolution,[],[f186,f384]) ).

fof(f1647,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | segmentP(app(app(X1,nil),X0),nil) )
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1642]) ).

fof(f1649,plain,
    ( ! [X0,X1] :
        ( segmentP(app(app(X1,nil),X0),nil)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1647,f360]) ).

fof(f2037,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | ~ ssList(skaf46(sk4,sk3))
    | nil = sk3
    | spl0_1 ),
    inference(superposition,[],[f124,f1043]) ).

fof(f2042,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(skaf46(sk4,sk3))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | segmentP(app(sk4,X0),sk3) )
    | spl0_1 ),
    inference(superposition,[],[f234,f1043]) ).

fof(f2052,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | segmentP(app(sk4,X0),sk3) )
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f2042,f50]) ).

fof(f2061,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(X0)
        | segmentP(app(sk4,X0),sk3) )
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f2052,f202]) ).

fof(f2317,definition,
    ( spl0_56
  <=> sk3 = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f2318,plain,
    ( sk3 != sk4
    | spl0_56 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f2319,plain,
    ( sk3 = sk4
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f2347,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_56 ),
    inference(superposition,[],[f511,f2319]) ).

fof(f2368,plain,
    ( ~ ssList(sk3)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_56 ),
    inference(resolution,[],[f2347,f57]) ).

fof(f2369,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f2368,f202]) ).

fof(f2370,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_56 ),
    inference(avatar_contradiction_clause,[],[f2369]) ).

fof(f3760,definition,
    ( spl0_131
  <=> ssList(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f3761,plain,
    ( ssList(sk3)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f3760]) ).

fof(f3932,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f202,f3760]) ).

fof(f8666,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),nil)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f1649,f439]) ).

fof(f8669,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),nil)
        | ~ ssList(X0) )
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f8666,f3761]) ).

fof(f47618,plain,
    ( segmentP(sk3,nil)
    | ~ ssList(nil)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(superposition,[],[f8669,f439]) ).

fof(f47619,plain,
    ( segmentP(sk3,nil)
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f47618,f360]) ).

fof(f53443,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | segmentP(sk4,sk3)
    | spl0_1 ),
    inference(superposition,[],[f2061,f440]) ).

fof(f53447,plain,
    ( ~ ssList(nil)
    | segmentP(sk4,sk3)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f53443,f203]) ).

fof(f53452,plain,
    ( segmentP(sk4,sk3)
    | spl0_1
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f53447,f360]) ).

fof(f53455,plain,
    ( $false
    | spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f53452,f512]) ).

fof(f53456,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f53455]) ).

fof(f53471,plain,
    ( nil != sk4
    | ~ ssList(skaf46(sk4,sk3))
    | nil = sk3
    | spl0_1
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2037,f3761]) ).

fof(f54003,plain,
    ( nil != sk4
    | nil = sk3
    | spl0_1
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f53471,f50]) ).

fof(f54163,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_1
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f54003,f3760,f324,f338,f328]) ).

fof(f56478,plain,
    ( ~ segmentP(sk3,nil)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f511,f340]) ).

fof(f56492,plain,
    ( nil != sk3
    | ~ spl0_4
    | spl0_56 ),
    inference(superposition,[],[f2318,f340]) ).

fof(f56682,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | spl0_56 ),
    inference(forward_subsumption_resolution,[],[f56492,f330]) ).

fof(f56683,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_56 ),
    inference(avatar_contradiction_clause,[],[f56682]) ).

fof(f56692,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f56478,f47619]) ).

fof(f56693,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f56692]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s5,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s6,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s7,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s14,plain,
    ( ~ spl0_8
    | spl0_13 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s18,plain,
    spl0_8,
    inference(sat_conversion,[],[f395]) ).

cnf(s57,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s370,plain,
    spl0_131,
    inference(sat_conversion,[],[f3932]) ).

cnf(s3064,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f53456]) ).

cnf(s3240,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_4
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f54163]) ).

cnf(s3830,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_56 ),
    inference(sat_conversion,[],[f56683]) ).

cnf(s3832,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f56693]) ).

cnf(s3934,plain,
    spl0_13,
    inference(rat,[],[s14,s18]) ).

cnf(s3938,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s3064,s7,s2,s3240,s370,s18]) ).

cnf(s3939,plain,
    spl0_1,
    inference(rat,[],[s4,s3064,s3832,s5,s6,s3938,s18,s3934,s370]) ).

cnf(s3940,plain,
    spl0_4,
    inference(rat,[],[s3,s3939]) ).

cnf(s3941,plain,
    spl0_2,
    inference(rat,[],[s1,s3939]) ).

cnf(s3964,plain,
    spl0_56,
    inference(rat,[],[s3830,s3941,s3940]) ).

cnf(s3973,plain,
    spl0_6,
    inference(rat,[],[s6,s3941]) ).

cnf(s3974,plain,
    spl0_5,
    inference(rat,[],[s5,s3941]) ).

cnf(s3978,plain,
    $false,
    inference(rat,[],[s57,s3973,s3964,s3974]) ).

fof(f56730,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3978]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC058-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n002.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 07:41:52 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 5.89/1.31  % (191234)Will run a generic schedule for satisfiability detection.
% 5.89/1.31  % (191240)% WARNING: option uhcvi not known.
% 5.89/1.31  % (191240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=515756549:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.89/1.31  % (191239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4025282542_2999 on theBenchmark for (2999ds/0Mi)
% 5.89/1.31  % (191242)dis+10_1_sil=32000:sp=arity:random_seed=3023271980:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.89/1.31  % (191241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2401096414:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.89/1.31  % (191243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4177590:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.89/1.31  % (191244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=153421262:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.89/1.31  % (191245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2288702637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.89/1.31  % TRYING [1]
% 5.89/1.31  % TRYING [2]
% 5.89/1.31  % TRYING [3]
% 5.89/1.31  % TRYING [4]
% 5.89/1.31  % (191242)Instruction limit reached! 
% 5.89/1.31  % (191242)------------------------------
% 5.89/1.31  % (191242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191242)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191242)Termination reason: Instruction limit
% 5.89/1.31  % (191242)Termination phase: Saturation
% 5.89/1.31  % (191242)Time elapsed: 0.060 s
% 5.89/1.31  % (191242)Peak memory usage: 13 MB
% 5.89/1.31  % (191242)Instructions burned: 103 (million)
% 5.89/1.31  % (191243)Instruction limit reached! 
% 5.89/1.31  % (191243)------------------------------
% 5.89/1.31  % (191243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191243)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191243)Termination reason: Instruction limit
% 5.89/1.31  % (191243)Termination phase: Saturation
% 5.89/1.31  % (191243)Time elapsed: 0.065 s
% 5.89/1.31  % (191243)Peak memory usage: 13 MB
% 5.89/1.31  % (191243)Instructions burned: 123 (million)
% 5.89/1.31  % (191244)Instruction limit reached! 
% 5.89/1.31  % (191244)------------------------------
% 5.89/1.31  % (191244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191244)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191244)Termination reason: Instruction limit
% 5.89/1.31  % (191244)Termination phase: Saturation
% 5.89/1.31  % (191244)Time elapsed: 0.069 s
% 5.89/1.31  % (191244)Peak memory usage: 14 MB
% 5.89/1.31  % (191244)Instructions burned: 131 (million)
% 5.89/1.31  % (191253)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2299586642:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.89/1.31  % (191254)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=471224439:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.89/1.31  % (191255)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=2374107852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.89/1.31  % TRYING [1]
% 5.89/1.31  % TRYING [2]
% 5.89/1.31  % (191245)Instruction limit reached! 
% 5.89/1.31  % (191245)------------------------------
% 5.89/1.31  % (191245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191245)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191245)Termination reason: Instruction limit
% 5.89/1.31  % (191245)Termination phase: Saturation
% 5.89/1.31  % (191245)Time elapsed: 0.092 s
% 5.89/1.31  % (191245)Peak memory usage: 14 MB
% 5.89/1.31  % (191245)Instructions burned: 160 (million)
% 5.89/1.31  % TRYING [3]
% 5.89/1.31  % TRYING [5]
% 5.89/1.31  % (191259)ott-21_1_sil=16000:fs=off:random_seed=3719384871:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.89/1.31  % TRYING [4]
% 5.89/1.31  % (191254)Instruction limit reached! 
% 5.89/1.31  % (191254)------------------------------
% 5.89/1.31  % (191254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191254)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191254)Termination reason: Instruction limit
% 5.89/1.31  % (191254)Termination phase: Saturation
% 5.89/1.31  % (191254)Time elapsed: 0.069 s
% 5.89/1.31  % (191254)Peak memory usage: 14 MB
% 5.89/1.31  % (191254)Instructions burned: 133 (million)
% 5.89/1.31  % (191261)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2954879566:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.89/1.31  % TRYING [5]
% 5.89/1.31  % (191259)Instruction limit reached! 
% 5.89/1.31  % (191259)------------------------------
% 5.89/1.31  % (191259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191259)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191259)Termination reason: Instruction limit
% 5.89/1.31  % (191259)Termination phase: Saturation
% 5.89/1.31  % (191259)Time elapsed: 0.091 s
% 5.89/1.31  % (191259)Peak memory usage: 13 MB
% 5.89/1.31  % (191259)Instructions burned: 181 (million)
% 5.89/1.31  % (191263)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3625770850:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.89/1.31  % TRYING [1]
% 5.89/1.31  % TRYING [2]
% 5.89/1.31  % TRYING [3]
% 5.89/1.31  % TRYING [6]
% 5.89/1.31  % TRYING [4]
% 5.89/1.31  % TRYING [6]
% 5.89/1.31  % (191253)Instruction limit reached! 
% 5.89/1.31  % (191253)------------------------------
% 5.89/1.31  % (191253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191253)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191253)Termination reason: Instruction limit
% 5.89/1.31  % (191253)Termination phase: Finite model building constraint generation
% 5.89/1.31  % (191253)Time elapsed: 0.275 s
% 5.89/1.31  % (191253)Peak memory usage: 36 MB
% 5.89/1.31  % (191253)Instructions burned: 715 (million)
% 5.89/1.31  % (191265)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1875881714:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.89/1.31  % TRYING [5]
% 5.89/1.31  % (191261)Instruction limit reached! 
% 5.89/1.31  % (191261)------------------------------
% 5.89/1.31  % (191261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191261)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191261)Termination reason: Instruction limit
% 5.89/1.31  % (191261)Termination phase: Saturation
% 5.89/1.31  % (191261)Time elapsed: 0.315 s
% 5.89/1.31  % (191261)Peak memory usage: 14 MB
% 5.89/1.31  % (191261)Instructions burned: 478 (million)
% 5.89/1.31  % (191255)Instruction limit reached! 
% 5.89/1.31  % (191255)------------------------------
% 5.89/1.31  % (191255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191255)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191255)Termination reason: Instruction limit
% 5.89/1.31  % (191255)Termination phase: Saturation
% 5.89/1.31  % (191255)Time elapsed: 0.413 s
% 5.89/1.31  % (191255)Peak memory usage: 18 MB
% 5.89/1.31  % (191255)Instructions burned: 685 (million)
% 5.89/1.31  % (191267)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2000539336:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.89/1.31  % (191268)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=4240306435: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)
% 5.89/1.31  % (191263)Instruction limit reached! 
% 5.89/1.31  % (191263)------------------------------
% 5.89/1.31  % (191263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191263)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191263)Termination reason: Instruction limit
% 5.89/1.31  % (191263)Termination phase: Finite model building SAT solving
% 5.89/1.31  % (191263)Time elapsed: 0.345 s
% 5.89/1.31  % (191263)Peak memory usage: 23 MB
% 5.89/1.31  % (191263)Instructions burned: 865 (million)
% 5.89/1.31  % (191271)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=633152281:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.89/1.31  % TRYING [14]
% 5.89/1.31  % TRYING [7]
% 5.89/1.31  % (191240) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-191234-191240"...
% 5.89/1.31  % (191240)...printing done.
% 5.89/1.31  % (191267)Instruction limit reached! 
% 5.89/1.31  % (191267)------------------------------
% 5.89/1.31  % (191267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191267)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191267)Termination reason: Instruction limit
% 5.89/1.31  % (191267)Termination phase: Finite model building constraint generation
% 5.89/1.31  % (191267)Time elapsed: 0.324 s
% 5.89/1.31  % (191267)Peak memory usage: 72 MB
% 5.89/1.31  % (191267)Instructions burned: 890 (million)
% 5.89/1.31  % (191240)Refutation found. Thanks to Tanya!
% 5.89/1.31  % SZS status Unsatisfiable for theBenchmark
% 5.89/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 5.89/1.31  % (191240)------------------------------
% 5.89/1.31  % (191240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.89/1.31  % (191240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.89/1.31  % (191240)CaDiCaL version: 2.1.3
% 5.89/1.31  % (191240)Termination reason: Refutation
% 5.89/1.31  % (191240)Time elapsed: 0.842 s
% 5.89/1.31  % (191240)Peak memory usage: 36 MB
% 5.89/1.31  % (191240)Instructions burned: 2914 (million)
% 5.89/1.31  % (191234)Success in time 0.882 s
% 5.89/1.31  % Vampire exiting
%------------------------------------------------------------------------------