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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC109-1 : 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 : n020.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 01:04:42 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  137 (  19 unt;  14 def)
%            Number of atoms       :  364 (  61 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  426 ( 199   ~; 213   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn  32   !;   0   ?)

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

fof(f79,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).

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

fof(f98,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != nil
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).

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

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

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

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

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

fof(f210,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(reorient_equations,[],[f210]) ).

fof(f216,negated_conjecture,
    ( ssList(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f217,negated_conjecture,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f220,negated_conjecture,
    ( app(app(sk6,sk3),sk7) = sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f221,plain,
    ( sk4 = app(app(sk6,sk3),sk7)
    | nil = sk3 ),
    inference(reorient_equations,[],[f220]) ).

fof(f225,negated_conjecture,
    ( nil = sk2
    | ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).

fof(f226,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).

fof(f231,plain,
    ( nil = sk4
    | ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f225,f204,f205,f204,f205]) ).

fof(f232,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f226,f205,f204]) ).

fof(f234,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f240,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f248,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(f307,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ssItem(X0)
      | ~ ssList(X1) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f367,plain,
    ( ~ ssItem(sk5)
    | nil = sk4 ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f377,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f240]) ).

fof(f380,definition,
    ( spl0_1
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f382,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f384,definition,
    ( spl0_2
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f386,plain,
    ( ~ neq(sk3,nil)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f388,definition,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f389,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f393,definition,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f395,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f396,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f232,f388,f393]) ).

fof(f398,definition,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f400,plain,
    ( nil = sk4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f401,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f231,f398,f384,f380]) ).

fof(f412,definition,
    ( spl0_8
  <=> sk4 = app(app(sk6,sk3),sk7) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f414,plain,
    ( sk4 = app(app(sk6,sk3),sk7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f221,f412,f388]) ).

fof(f417,definition,
    ( spl0_9
  <=> sk3 = cons(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f419,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f422,definition,
    ( spl0_10
  <=> ssList(sk7) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f424,plain,
    ( ssList(sk7)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f217,f422,f388]) ).

fof(f427,definition,
    ( spl0_11
  <=> ssList(sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f429,plain,
    ( ssList(sk6)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f430,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f216,f427,f388]) ).

fof(f434,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f211,f417,f398]) ).

fof(f438,definition,
    ( spl0_12
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f440,plain,
    ( ~ ssItem(sk5)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f442,plain,
    ( spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f367,f438,f398]) ).

fof(f448,definition,
    ( spl0_14
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f449,plain,
    ( ssList(nil)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f471,definition,
    ( spl0_19
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f474,plain,
    ( spl0_19
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f234,f448,f471]) ).

fof(f484,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f8,f448]) ).

fof(f488,plain,
    ( neq(nil,nil)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f395,f400]) ).

fof(f493,plain,
    ( ~ segmentP(sk4,nil)
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f382,f389]) ).

fof(f495,plain,
    ( ~ segmentP(nil,nil)
    | spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f493,f400]) ).

fof(f496,plain,
    ( ~ spl0_19
    | spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f495,f398,f388,f380,f471]) ).

fof(f497,plain,
    ( nil = app(app(sk6,sk3),sk7)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f414,f400]) ).

fof(f508,plain,
    ( ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f377,f488]) ).

fof(f509,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f508,f449]) ).

fof(f510,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f509]) ).

fof(f626,plain,
    ( nil != sk3
    | ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_9 ),
    inference(superposition,[],[f307,f419]) ).

fof(f874,plain,
    ( nil != nil
    | ~ ssList(sk7)
    | ~ ssList(app(sk6,sk3))
    | nil = app(sk6,sk3)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f122,f497]) ).

fof(f878,plain,
    ( ~ ssList(sk7)
    | ~ ssList(app(sk6,sk3))
    | nil = app(sk6,sk3)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f874]) ).

fof(f879,plain,
    ( ~ ssList(app(sk6,sk3))
    | nil = app(sk6,sk3)
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f878,f424]) ).

fof(f881,definition,
    ( spl0_28
  <=> nil = app(sk6,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f883,plain,
    ( nil = app(sk6,sk3)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f885,definition,
    ( spl0_29
  <=> ssList(app(sk6,sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ ssList(app(sk6,sk3))
    | spl0_29 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f888,plain,
    ( spl0_28
    | ~ spl0_29
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f879,f422,f412,f398,f885,f881]) ).

fof(f1134,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk3)
    | spl0_29 ),
    inference(resolution,[],[f887,f85]) ).

fof(f1135,plain,
    ( ~ ssList(sk3)
    | ~ spl0_11
    | spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1134,f429]) ).

fof(f1136,plain,
    ( $false
    | ~ spl0_11
    | spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1135,f202]) ).

fof(f1137,plain,
    ( ~ spl0_11
    | spl0_29 ),
    inference(avatar_contradiction_clause,[],[f1136]) ).

fof(f1292,plain,
    ( nil != nil
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | nil = sk3
    | ~ spl0_28 ),
    inference(superposition,[],[f124,f883]) ).

fof(f1298,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk6)
    | nil = sk3
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f1292]) ).

fof(f1305,plain,
    ( ~ ssList(sk6)
    | nil = sk3
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1298,f202]) ).

fof(f1313,plain,
    ( nil = sk3
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1305,f429]) ).

fof(f1317,plain,
    ( $false
    | spl0_3
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1313,f390]) ).

fof(f1318,plain,
    ( spl0_3
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1317]) ).

fof(f2031,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk6)
    | ~ ssList(sk3)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3)
    | ~ spl0_8 ),
    inference(superposition,[],[f248,f414]) ).

fof(f2055,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk3)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3)
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f2031,f203]) ).

fof(f2066,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk7)
    | segmentP(sk4,sk3)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2055,f429]) ).

fof(f2067,plain,
    ( ~ ssList(sk7)
    | segmentP(sk4,sk3)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2066,f202]) ).

fof(f2068,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2067,f424]) ).

fof(f2071,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2068,f427,f422,f412,f380]) ).

fof(f2094,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | nil = sk3
    | spl0_2 ),
    inference(resolution,[],[f386,f102]) ).

fof(f2095,plain,
    ( ~ ssList(nil)
    | nil = sk3
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f2094,f202]) ).

fof(f2097,plain,
    ( nil = sk3
    | spl0_2
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2095,f449]) ).

fof(f2109,plain,
    ( nil != sk3
    | ~ ssList(nil)
    | ~ spl0_9
    | spl0_12 ),
    inference(forward_subsumption_resolution,[],[f626,f440]) ).

fof(f2132,plain,
    ( spl0_3
    | spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2097,f448,f384,f388]) ).

fof(f2133,plain,
    ( nil != sk3
    | ~ spl0_9
    | spl0_12
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2109,f449]) ).

fof(f2137,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f2133,f448,f438,f417,f388]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_11 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s14,plain,
    ( spl0_5
    | spl0_9 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s18,plain,
    ( spl0_5
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s24,plain,
    ( ~ spl0_14
    | spl0_19 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s28,plain,
    spl0_14,
    inference(sat_conversion,[],[f484]) ).

cnf(s32,plain,
    ( spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s34,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s39,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | spl0_28
    | ~ spl0_29 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s43,plain,
    ( ~ spl0_11
    | spl0_29 ),
    inference(sat_conversion,[],[f1137]) ).

cnf(s49,plain,
    ( spl0_3
    | ~ spl0_11
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f1318]) ).

cnf(s78,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f2071]) ).

cnf(s87,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2132]) ).

cnf(s88,plain,
    ( ~ spl0_3
    | ~ spl0_9
    | spl0_12
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s92,plain,
    spl0_19,
    inference(rat,[],[s24,s28]) ).

cnf(s96,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s88,s14,s18,s32,s92,s28]) ).

cnf(s97,plain,
    spl0_1,
    inference(rat,[],[s78,s7,s9,s10,s96]) ).

cnf(s98,plain,
    ~ spl0_3,
    inference(rat,[],[s88,s14,s18,s34,s2,s28]) ).

cnf(s99,plain,
    spl0_2,
    inference(rat,[],[s87,s28,s98]) ).

cnf(s105,plain,
    spl0_11,
    inference(rat,[],[s10,s98]) ).

cnf(s106,plain,
    spl0_10,
    inference(rat,[],[s9,s98]) ).

cnf(s108,plain,
    spl0_8,
    inference(rat,[],[s7,s98]) ).

cnf(s111,plain,
    spl0_5,
    inference(rat,[],[s3,s97,s99]) ).

cnf(s112,plain,
    ~ spl0_28,
    inference(rat,[],[s49,s98,s105]) ).

cnf(s113,plain,
    spl0_29,
    inference(rat,[],[s43,s105]) ).

cnf(s117,plain,
    $false,
    inference(rat,[],[s39,s113,s112,s106,s111,s108]) ).

fof(f2138,plain,
    $false,
    inference(avatar_sat_refutation,[],[s117]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC109-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n020.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 07:55:19 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  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
% 0.18/0.52  % (25136)Will run a generic schedule for satisfiability detection.
% 0.18/0.52  % (25146)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3851722676:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52  % (25142)% WARNING: option uhcvi not known.
% 0.18/0.52  % (25145)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=629696287:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52  % (25141)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3198611898_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52  % (25142)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2320822565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52  % (25143)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=668766582:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52  % (25144)dis+10_1_sil=32000:sp=arity:random_seed=1916894036:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52  % (25147)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3534095160:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52  % TRYING [1]
% 0.18/0.52  % TRYING [2]
% 0.18/0.52  % TRYING [3]
% 0.18/0.52  % (25146)Instruction limit reached! 
% 0.18/0.52  % (25146)------------------------------
% 0.18/0.52  % (25146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52  % (25146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52  % (25146)CaDiCaL version: 2.1.3
% 0.18/0.52  % (25146)Termination reason: Instruction limit
% 0.18/0.52  % (25146)Termination phase: Saturation
% 0.18/0.52  % (25146)Time elapsed: 0.038 s
% 0.18/0.52  % (25146)Peak memory usage: 14 MB
% 0.18/0.52  % (25146)Instructions burned: 134 (million)
% 0.18/0.52  % (25142) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-25136-25142"...
% 0.18/0.52  % TRYING [4]
% 0.18/0.52  % (25142)...printing done.
% 0.18/0.52  % (25144) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-25136-25144"...
% 0.18/0.52  % (25142)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (25142)------------------------------
% 0.18/0.52  % (25142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52  % (25142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52  % (25142)CaDiCaL version: 2.1.3
% 0.18/0.52  % (25142)Termination reason: Refutation
% 0.18/0.52  % (25142)Time elapsed: 0.040 s
% 0.18/0.52  % (25142)Peak memory usage: 13 MB
% 0.18/0.52  % (25142)Instructions burned: 63 (million)
% 0.18/0.52  % (25136)Success in time 0.083 s
% 0.18/0.52  % Vampire exiting
%------------------------------------------------------------------------------