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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN214-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 02:07:02 PM UTC 2026

% Result   : Unsatisfiable 0.28s 0.41s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  132 (  40 unt;  17 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  315 ( 163   ~; 135   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   38 (  37 usr;  18 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  117 (   0 sgn 117   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( ~ m0(X1,X1,X0)
      | m1(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( ~ p0(X1,X0)
      | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).

fof(f159,axiom,
    ! [X2,X0,X1] :
      ( ~ m0(X1,X2,X0)
      | q1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_121) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( r1(X0)
      | ~ q0(X0,X1)
      | ~ s0(d)
      | ~ q1(d,X1,d) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ p0(X0,X0)
      | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

fof(f164,axiom,
    ! [X2,X0,X1] :
      ( s1(X0)
      | ~ q0(X0,X1)
      | ~ s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( l2(X0,X0)
      | ~ p0(X1,X1)
      | ~ s1(X2)
      | ~ m0(X3,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

fof(f175,axiom,
    ! [X2,X0,X1] :
      ( ~ p1(X1,X2,X0)
      | n2(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

fof(f203,axiom,
    ! [X2,X0,X1] :
      ( p2(X0,X0,X0)
      | ~ q1(X1,X2,X1)
      | ~ p2(X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_165) ).

fof(f214,axiom,
    ! [X0,X1] :
      ( ~ m1(X1,X0,X1)
      | p2(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).

fof(f226,axiom,
    ! [X0] :
      ( ~ r1(X0)
      | r2(X0)
      | ~ l0(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).

fof(f278,axiom,
    ! [X2,X0,X1] :
      ( ~ p2(X1,X2,X0)
      | n3(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).

fof(f282,axiom,
    ! [X0] :
      ( ~ n2(X0)
      | p3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).

fof(f296,axiom,
    ! [X2,X0,X1] :
      ( q3(X0,X0)
      | ~ r2(X0)
      | ~ s1(X1)
      | ~ l2(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).

fof(f315,axiom,
    ! [X2,X0,X1] :
      ( ~ p3(X1,X2,X0)
      | l4(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).

fof(f336,axiom,
    ! [X2,X3,X0,X1] :
      ( r4(X0)
      | ~ n3(X0)
      | ~ q3(X1,X2)
      | ~ p0(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).

fof(f367,axiom,
    ! [X0,X1] :
      ( s5(X0)
      | ~ l4(X0)
      | ~ r4(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_329) ).

fof(f369,negated_conjecture,
    ~ s5(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f378,definition,
    ( spl0_3
  <=> ! [X1] : ~ r4(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X1] : ~ r4(X1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,definition,
    ( spl0_4
  <=> ! [X0] :
        ( s5(X0)
        | ~ l4(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X0] :
        ( s5(X0)
        | ~ l4(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f383,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f367,f381,f378]) ).

fof(f460,definition,
    ( spl0_24
  <=> ! [X2,X1] : ~ q3(X1,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X2,X1] : ~ q3(X1,X2)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f463,definition,
    ( spl0_25
  <=> ! [X0,X3] :
        ( r4(X0)
        | ~ p0(X3,X0)
        | ~ n3(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X3,X0] :
        ( r4(X0)
        | ~ p0(X3,X0)
        | ~ n3(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f336,f463,f460]) ).

fof(f592,definition,
    ( spl0_57
  <=> ! [X2] : ~ l2(X2,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f593,plain,
    ( ! [X2] : ~ l2(X2,X2)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,definition,
    ( spl0_58
  <=> ! [X1] : ~ s1(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X1] : ~ s1(X1)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f598,definition,
    ( spl0_59
  <=> ! [X0] :
        ( q3(X0,X0)
        | ~ r2(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X0] :
        ( q3(X0,X0)
        | ~ r2(X0) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( spl0_57
    | spl0_58
    | spl0_59 ),
    inference(avatar_split_clause,[],[f296,f598,f595,f592]) ).

fof(f865,definition,
    ( spl0_125
  <=> s0(d) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f969,definition,
    ( spl0_151
  <=> ! [X2,X1] :
        ( ~ q1(X1,X2,X1)
        | ~ p2(X1,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f970,plain,
    ( ! [X2,X1] :
        ( ~ p2(X1,X1,X2)
        | ~ q1(X1,X2,X1) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f972,definition,
    ( spl0_152
  <=> ! [X0] : p2(X0,X0,X0) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f973,plain,
    ( ! [X0] : p2(X0,X0,X0)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f974,plain,
    ( spl0_151
    | spl0_152 ),
    inference(avatar_split_clause,[],[f203,f972,f969]) ).

fof(f1121,definition,
    ( spl0_189
  <=> ! [X1] : ~ p0(X1,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1122,plain,
    ( ! [X1] : ~ p0(X1,X1)
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,definition,
    ( spl0_190
  <=> ! [X2,X0,X3] :
        ( l2(X0,X0)
        | ~ s1(X2)
        | ~ m0(X3,X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1125,plain,
    ( ! [X2,X3,X0] :
        ( l2(X0,X0)
        | ~ s1(X2)
        | ~ m0(X3,X2,X0) )
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f1126,plain,
    ( spl0_189
    | spl0_190 ),
    inference(avatar_split_clause,[],[f171,f1124,f1121]) ).

fof(f1137,definition,
    ( spl0_193
  <=> ! [X0,X1] :
        ( s1(X0)
        | ~ q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

fof(f1138,plain,
    ( ! [X0,X1] :
        ( ~ q0(X0,X1)
        | s1(X0) )
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1139,plain,
    ( spl0_58
    | spl0_193 ),
    inference(avatar_split_clause,[],[f164,f1137,f595]) ).

fof(f1141,definition,
    ( spl0_194
  <=> ! [X0,X1] :
        ( r1(X0)
        | ~ q1(d,X1,d)
        | ~ q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1142,plain,
    ( ! [X0,X1] :
        ( ~ q0(X0,X1)
        | ~ q1(d,X1,d)
        | r1(X0) )
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1143,plain,
    ( ~ spl0_125
    | spl0_194 ),
    inference(avatar_split_clause,[],[f162,f1141,f865]) ).

fof(f1208,definition,
    ( spl0_210
  <=> ! [X2,X1] : ~ p0(X1,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1209,plain,
    ( ! [X2,X1] : ~ p0(X1,X2)
    | ~ spl0_210 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1219,definition,
    ( spl0_213
  <=> ! [X1] : ~ l0(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1220,plain,
    ( ! [X1] : ~ l0(X1)
    | ~ spl0_213 ),
    inference(avatar_component_clause,[],[f1219]) ).

fof(f1248,definition,
    ( spl0_220
  <=> l0(a) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1249,plain,
    ( l0(a)
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f1248]) ).

fof(f1494,plain,
    spl0_220,
    inference(avatar_split_clause,[],[f20,f1248]) ).

fof(f1501,plain,
    spl0_125,
    inference(avatar_split_clause,[],[f1,f865]) ).

fof(f1511,plain,
    ( $false
    | ~ spl0_213
    | ~ spl0_220 ),
    inference(forward_subsumption_resolution,[],[f1249,f1220]) ).

fof(f1512,plain,
    ( ~ spl0_213
    | ~ spl0_220 ),
    inference(avatar_contradiction_clause,[],[f1511]) ).

fof(f1527,plain,
    ( $false
    | ~ spl0_189 ),
    inference(resolution,[],[f1122,f14]) ).

fof(f1528,plain,
    ~ spl0_189,
    inference(avatar_contradiction_clause,[],[f1527]) ).

fof(f1529,plain,
    ( $false
    | ~ spl0_210 ),
    inference(resolution,[],[f1209,f14]) ).

fof(f1534,plain,
    ~ spl0_210,
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1579,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f1580,plain,
    ( $false
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f1579,f596]) ).

fof(f1581,plain,
    ~ spl0_58,
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1582,plain,
    ( ! [X2,X3,X0] :
        ( ~ s1(X2)
        | ~ m0(X3,X2,X0) )
    | ~ spl0_57
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f1125,f593]) ).

fof(f1586,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_193 ),
    inference(resolution,[],[f1138,f17]) ).

fof(f1759,plain,
    ( ! [X2,X0,X1] : ~ m0(X0,X1,X2)
    | ~ spl0_57
    | ~ spl0_190
    | ~ spl0_193 ),
    inference(resolution,[],[f1582,f1586]) ).

fof(f1785,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f1830,plain,
    ! [X0] : n2(X0),
    inference(resolution,[],[f1785,f175]) ).

fof(f1837,plain,
    ! [X0] : p3(X0,X0,X0),
    inference(resolution,[],[f1830,f282]) ).

fof(f1842,plain,
    ( ! [X0] : n3(X0)
    | ~ spl0_152 ),
    inference(resolution,[],[f973,f278]) ).

fof(f1905,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_190
    | ~ spl0_193 ),
    inference(resolution,[],[f1759,f19]) ).

fof(f1920,plain,
    ( ~ spl0_57
    | ~ spl0_190
    | ~ spl0_193 ),
    inference(avatar_contradiction_clause,[],[f1905]) ).

fof(f1921,plain,
    ( ! [X0] : ~ r2(X0)
    | ~ spl0_24
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f599,f461]) ).

fof(f1955,plain,
    ! [X0] : m1(X0,d,X0),
    inference(resolution,[],[f43,f19]) ).

fof(f1986,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f159,f19]) ).

fof(f2022,plain,
    ! [X0] : p2(d,X0,d),
    inference(resolution,[],[f214,f1955]) ).

fof(f2079,plain,
    ! [X0] : l4(X0),
    inference(resolution,[],[f1837,f315]) ).

fof(f2158,plain,
    ( ~ q1(d,d,d)
    | ~ spl0_151 ),
    inference(resolution,[],[f970,f2022]) ).

fof(f2171,plain,
    ( $false
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f2158,f1986]) ).

fof(f2172,plain,
    ~ spl0_151,
    inference(avatar_contradiction_clause,[],[f2171]) ).

fof(f2371,plain,
    ( ! [X0] :
        ( ~ q1(d,d,d)
        | r1(X0) )
    | ~ spl0_194 ),
    inference(resolution,[],[f1142,f17]) ).

fof(f2390,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_194 ),
    inference(forward_subsumption_resolution,[],[f2371,f1986]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( r2(X0)
        | ~ l0(X0) )
    | ~ spl0_194 ),
    inference(resolution,[],[f2390,f226]) ).

fof(f2398,plain,
    ( ! [X0] : ~ l0(X0)
    | ~ spl0_24
    | ~ spl0_59
    | ~ spl0_194 ),
    inference(forward_subsumption_resolution,[],[f2393,f1921]) ).

fof(f2399,plain,
    ( spl0_213
    | ~ spl0_24
    | ~ spl0_59
    | ~ spl0_194 ),
    inference(avatar_split_clause,[],[f2398,f1141,f598,f460,f1219]) ).

fof(f2400,plain,
    ( ! [X3,X0] :
        ( ~ p0(X3,X0)
        | ~ n3(X0) )
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f464,f379]) ).

fof(f2401,plain,
    ( ! [X3,X0] : ~ p0(X3,X0)
    | ~ spl0_3
    | ~ spl0_25
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f2400,f1842]) ).

fof(f2402,plain,
    ( spl0_210
    | ~ spl0_3
    | ~ spl0_25
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2401,f972,f463,f378,f1208]) ).

fof(f2403,plain,
    ( ! [X0] : s5(X0)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f382,f2079]) ).

fof(f2405,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f2403,f369]) ).

fof(f2406,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f2405]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s11,plain,
    ( spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s25,plain,
    ( spl0_57
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s68,plain,
    ( spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s86,plain,
    ( spl0_189
    | spl0_190 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s88,plain,
    ( spl0_58
    | spl0_193 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s89,plain,
    ( ~ spl0_125
    | spl0_194 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s149,plain,
    spl0_220,
    inference(sat_conversion,[],[f1494]) ).

cnf(s156,plain,
    spl0_125,
    inference(sat_conversion,[],[f1501]) ).

cnf(s161,plain,
    ( ~ spl0_213
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s168,plain,
    ~ spl0_189,
    inference(sat_conversion,[],[f1528]) ).

cnf(s171,plain,
    ~ spl0_210,
    inference(sat_conversion,[],[f1534]) ).

cnf(s189,plain,
    ~ spl0_58,
    inference(sat_conversion,[],[f1581]) ).

cnf(s249,plain,
    ( ~ spl0_57
    | ~ spl0_190
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s279,plain,
    ~ spl0_151,
    inference(sat_conversion,[],[f2172]) ).

cnf(s300,plain,
    ( ~ spl0_24
    | ~ spl0_59
    | ~ spl0_194
    | spl0_213 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s301,plain,
    ( ~ spl0_3
    | ~ spl0_25
    | ~ spl0_152
    | spl0_210 ),
    inference(sat_conversion,[],[f2402]) ).

cnf(s302,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f2406]) ).

cnf(s315,plain,
    ~ spl0_213,
    inference(rat,[],[s161,s149]) ).

cnf(s374,plain,
    spl0_194,
    inference(rat,[],[s89,s156]) ).

cnf(s378,plain,
    spl0_193,
    inference(rat,[],[s88,s189]) ).

cnf(s384,plain,
    spl0_190,
    inference(rat,[],[s86,s168]) ).

cnf(s387,plain,
    ~ spl0_57,
    inference(rat,[],[s249,s378,s384]) ).

cnf(s403,plain,
    spl0_152,
    inference(rat,[],[s68,s279]) ).

cnf(s437,plain,
    spl0_59,
    inference(rat,[],[s25,s189,s387]) ).

cnf(s438,plain,
    ~ spl0_24,
    inference(rat,[],[s300,s315,s374,s437]) ).

cnf(s446,plain,
    spl0_25,
    inference(rat,[],[s11,s438]) ).

cnf(s447,plain,
    ~ spl0_3,
    inference(rat,[],[s301,s171,s403,s446]) ).

cnf(s454,plain,
    $false,
    inference(rat,[],[s2,s302,s447]) ).

fof(f2407,plain,
    $false,
    inference(avatar_sat_refutation,[],[s454]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN214-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27  % Computer : n010.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 15:38:32 UTC 2026
% 0.11/0.27  % CPUTime  : 
% 0.11/0.27  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.33  Running first-order model finding
% 0.28/0.33  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.28/0.41  % (2018323)Will run a generic schedule for satisfiability detection.
% 0.28/0.41  % (2018333)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2428476731:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.28/0.41  % (2018329)% WARNING: option uhcvi not known.
% 0.28/0.41  % (2018329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1734325712:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.28/0.41  % (2018330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1179680819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.28/0.41  % (2018334)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4074530767:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.28/0.41  % (2018328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=405577232_2999 on theBenchmark for (2999ds/0Mi)
% 0.28/0.41  % (2018331)dis+10_1_sil=32000:sp=arity:random_seed=3950655071:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.28/0.41  % (2018332)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3425580253:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.28/0.41  % (2018333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2018323-2018333"...
% 0.28/0.41  % (2018333)...printing done.
% 0.28/0.41  % (2018333)Refutation found. Thanks to Tanya!
% 0.28/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.28/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.41  % (2018333)------------------------------
% 0.63/0.41  % (2018333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.41  % (2018333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.41  % (2018333)CaDiCaL version: 2.1.3
% 0.63/0.41  % (2018333)Termination reason: Refutation
% 0.63/0.41  % (2018333)Time elapsed: 0.020 s
% 0.63/0.41  % (2018333)Peak memory usage: 13 MB
% 0.63/0.41  % (2018333)Instructions burned: 32 (million)
% 0.63/0.41  % (2018323)Success in time 0.069 s
% 0.63/0.41  % Vampire exiting
%------------------------------------------------------------------------------