↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:02:14 PM UTC 2026

% Result   : Unsatisfiable 0.89s 1.05s
% Output   : Refutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  120 (  19 unt;  10 def)
%            Number of atoms       :  357 (  36 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  478 ( 241   ~; 227   |;   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   :   37 (   0 sgn  37   !;   0   ?)

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

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

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

fof(f79,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',clause131) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f201,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

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(f214,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f228,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(f245,definition,
    ( spl0_1
  <=> rearsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f247,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f249,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f251,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f213,f249,f245]) ).

fof(f254,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f256,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f257,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f249,f254]) ).

fof(f259,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f261,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f259,f245]) ).

fof(f263,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f210,f259,f254]) ).

fof(f265,definition,
    ( spl0_5
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f268,definition,
    ( spl0_6
  <=> nil = sk1 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f270,plain,
    ( nil != sk1
    | spl0_6 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f209,f268,f265]) ).

fof(f273,definition,
    ( spl0_7
  <=> neq(sk2,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f275,plain,
    ( neq(sk2,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f276,plain,
    ( spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f208,f268,f273]) ).

fof(f278,definition,
    ( spl0_8
  <=> nil = sk2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f280,plain,
    ( nil = sk2
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f281,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f207,f278,f265]) ).

fof(f288,definition,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f289,plain,
    ( ssList(nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f311,definition,
    ( spl0_15
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f313,plain,
    ( segmentP(nil,nil)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f314,plain,
    ( spl0_15
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f214,f288,f311]) ).

fof(f324,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f288]) ).

fof(f330,plain,
    ( nil = sk2
    | ~ spl0_4 ),
    inference(superposition,[],[f204,f261]) ).

fof(f333,plain,
    ( spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f330,f259,f278]) ).

fof(f334,plain,
    ( neq(nil,nil)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f275,f280]) ).

fof(f337,plain,
    ( ! [X0] :
        ( ~ segmentP(sk3,X0)
        | ~ ssList(X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f266,f205]) ).

fof(f338,plain,
    ( ! [X0] :
        ( ~ segmentP(sk2,X0)
        | ~ ssList(X0)
        | ~ segmentP(nil,X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f337,f251]) ).

fof(f339,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f338,f280]) ).

fof(f340,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f341,plain,
    ( ~ ssList(nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(resolution,[],[f313,f340]) ).

fof(f342,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f341,f289]) ).

fof(f343,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f342,f334]) ).

fof(f344,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f346,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f256,f251]) ).

fof(f350,plain,
    ( ~ ssList(sk2)
    | ~ ssList(nil)
    | ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f56,f338]) ).

fof(f351,plain,
    ( ~ ssList(nil)
    | ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f350,f201]) ).

fof(f352,plain,
    ( ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f351,f289]) ).

fof(f353,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f352,f313]) ).

fof(f354,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f353,f346]) ).

fof(f355,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f356,plain,
    ( rearsegP(sk2,sk3)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f247,f204]) ).

fof(f369,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk3)
    | ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(resolution,[],[f57,f337]) ).

fof(f370,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f369]) ).

fof(f371,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ neq(sk3,nil)
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f370,f202]) ).

fof(f372,plain,
    ( ~ segmentP(sk2,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f371,f256]) ).

fof(f464,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk2)
    | sk2 = app(skaf46(sk2,sk3),sk3)
    | ~ spl0_1 ),
    inference(resolution,[],[f142,f356]) ).

fof(f471,plain,
    ( ~ ssList(sk2)
    | sk2 = app(skaf46(sk2,sk3),sk3)
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f464,f202]) ).

fof(f473,plain,
    ( sk2 = app(skaf46(sk2,sk3),sk3)
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f471,f201]) ).

fof(f476,plain,
    ( nil != sk2
    | ~ ssList(sk3)
    | ~ ssList(skaf46(sk2,sk3))
    | nil = sk3
    | ~ spl0_1 ),
    inference(superposition,[],[f124,f473]) ).

fof(f667,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | segmentP(app(X0,X1),X1)
      | ~ ssList(app(X0,X1)) ),
    inference(superposition,[],[f228,f73]) ).

fof(f668,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | segmentP(app(X0,X1),X1) ),
    inference(duplicate_literal_removal,[],[f667]) ).

fof(f673,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(X0,X1),X1) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f668,f289]) ).

fof(f1730,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X1)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f673,f85]) ).

fof(f1751,plain,
    ( segmentP(sk2,sk3)
    | ~ ssList(sk3)
    | ~ ssList(skaf46(sk2,sk3))
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f1730,f473]) ).

fof(f1767,plain,
    ( ~ ssList(sk3)
    | ~ ssList(skaf46(sk2,sk3))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1751,f372]) ).

fof(f1778,plain,
    ( ~ ssList(skaf46(sk2,sk3))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1767,f202]) ).

fof(f1787,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f1778,f50]) ).

fof(f1788,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1787]) ).

fof(f1790,plain,
    ( nil != sk3
    | spl0_6 ),
    inference(forward_demodulation,[],[f270,f205]) ).

fof(f1794,plain,
    ( nil != sk2
    | ~ ssList(skaf46(sk2,sk3))
    | nil = sk3
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f476,f202]) ).

fof(f1818,plain,
    ( nil != sk2
    | nil = sk3
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1794,f50]) ).

fof(f1854,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f1790,f268,f249]) ).

fof(f1855,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f1818,f245,f278,f249]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s5,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s6,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s7,plain,
    ( spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f281]) ).

cnf(s14,plain,
    ( ~ spl0_10
    | spl0_15 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s18,plain,
    spl0_10,
    inference(sat_conversion,[],[f324]) ).

cnf(s21,plain,
    ( ~ spl0_4
    | spl0_8 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s24,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s26,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s79,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s102,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s103,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s109,plain,
    spl0_15,
    inference(rat,[],[s14,s18]) ).

cnf(s114,plain,
    spl0_1,
    inference(rat,[],[s24,s5,s6,s102,s21,s1,s3,s18,s109]) ).

cnf(s116,plain,
    spl0_2,
    inference(rat,[],[s79,s7,s2,s103,s114,s18]) ).

cnf(s117,plain,
    spl0_6,
    inference(rat,[],[s102,s116]) ).

cnf(s118,plain,
    spl0_7,
    inference(rat,[],[s6,s117]) ).

cnf(s119,plain,
    spl0_5,
    inference(rat,[],[s5,s117]) ).

cnf(s120,plain,
    ~ spl0_8,
    inference(rat,[],[s24,s109,s18,s118,s116,s119]) ).

cnf(s121,plain,
    ~ spl0_3,
    inference(rat,[],[s26,s109,s18,s116,s119]) ).

cnf(s124,plain,
    ~ spl0_4,
    inference(rat,[],[s21,s120]) ).

cnf(s125,plain,
    $false,
    inference(rat,[],[s4,s124,s121]) ).

fof(f1869,plain,
    $false,
    inference(avatar_sat_refutation,[],[s125]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.10/0.37  % Computer : n010.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:39:48 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/1.05  % (1745265)Input is clausal, will run a generic CNF schedule.
% 0.89/1.05  % (1745275)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=807394585:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.89/1.05  % (1745273)lrs+10_1_sil=8000:sp=occurrence:random_seed=2957565242:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.89/1.05  % (1745271)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1611471269:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.89/1.05  % (1745274)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1114379889:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.89/1.05  % (1745276)dis-21_1_sil=8000:lcm=predicate:random_seed=742426283:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.89/1.05  % (1745270)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=475470084:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.89/1.05  % (1745272)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1237971097:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.89/1.05  % (1745275)First to succeed.
% 0.89/1.05  % (1745275)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1745265"
% 0.89/1.05  % (1745276)Instruction limit reached! 
% 0.89/1.05  % (1745276)------------------------------
% 0.89/1.05  % (1745276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.05  % (1745276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.05  % (1745276)CaDiCaL version: 2.1.3
% 0.89/1.05  % (1745276)Termination reason: Instruction limit
% 0.89/1.05  % (1745276)Termination phase: Saturation
% 0.89/1.05  % (1745276)Time elapsed: 0.049 s
% 0.89/1.05  % (1745276)Peak memory usage: 89 MB
% 0.89/1.05  % (1745276)Instructions burned: 120 (million)
% 0.89/1.05  % (1745274)Instruction limit reached! 
% 0.89/1.05  % (1745274)------------------------------
% 0.89/1.05  % (1745274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.05  % (1745274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.05  % (1745274)CaDiCaL version: 2.1.3
% 0.89/1.05  % (1745274)Termination reason: Instruction limit
% 0.89/1.05  % (1745274)Termination phase: Saturation
% 0.89/1.05  % (1745274)Time elapsed: 0.057 s
% 0.89/1.05  % (1745274)Peak memory usage: 89 MB
% 0.89/1.05  % (1745274)Instructions burned: 115 (million)
% 0.89/1.05  % (1745273)Instruction limit reached! 
% 0.89/1.05  % (1745273)------------------------------
% 0.89/1.05  % (1745273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.05  % (1745273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.05  % (1745273)CaDiCaL version: 2.1.3
% 0.89/1.05  % (1745273)Termination reason: Instruction limit
% 0.89/1.05  % (1745273)Termination phase: Saturation
% 0.89/1.05  % (1745273)Time elapsed: 0.066 s
% 0.89/1.05  % (1745273)Peak memory usage: 89 MB
% 0.89/1.05  % (1745273)Instructions burned: 107 (million)
% 0.89/1.05  % (1745285)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3050134696:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 0.89/1.05  % (1745285)Also succeeded, but the first one will report.
% 0.89/1.05  % (1745284)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3731466396:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.89/1.05  % (1745286)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2735929680:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.89/1.05  % (1745284)Instruction limit reached! 
% 0.89/1.05  % (1745284)------------------------------
% 0.89/1.05  % (1745284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.89/1.05  % (1745284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/1.05  % (1745284)CaDiCaL version: 2.1.3
% 0.89/1.05  % (1745284)Termination reason: Instruction limit
% 0.89/1.05  % (1745284)Termination phase: Saturation
% 0.89/1.05  % (1745284)Time elapsed: 0.090 s
% 0.89/1.05  % (1745284)Peak memory usage: 89 MB
% 0.89/1.05  % (1745284)Instructions burned: 143 (million)
% 0.89/1.05  % (1745275)Refutation found. Thanks to Tanya!
% 0.89/1.05  % SZS status Unsatisfiable for theBenchmark
% 0.89/1.05  % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.24  % (1745275)------------------------------
% 3.47/1.24  % (1745275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.24  % (1745275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.24  % (1745275)CaDiCaL version: 2.1.3
% 3.47/1.24  % (1745275)Termination reason: Refutation
% 3.47/1.24  % (1745275)Time elapsed: 0.037 s
% 3.47/1.24  % (1745275)Peak memory usage: 90 MB
% 3.47/1.24  % (1745275)Instructions burned: 52 (million)
% 3.47/1.24  % (1745275)------------------------------
% 3.47/1.24  % (1745275)------------------------------
% 3.47/1.24  % (1745265)Success in time 0.449 s
% 3.47/1.24  % Vampire exiting
%------------------------------------------------------------------------------