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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN190-1 : 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 : n004.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 02:06:59 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.30s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  143 (  42 unt;  15 def)
%            Number of atoms       :  307 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  303 ( 139   ~; 149   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;  16 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :  109 (   0 sgn 109   !;   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(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( l1(X0,X0)
      | ~ n0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).

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(f131,axiom,
    ! [X0,X1] :
      ( q1(X0,X0,X0)
      | ~ q0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_093) ).

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] :
      ( s1(X0)
      | ~ p0(X0,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(f173,axiom,
    ! [X2,X0,X1] :
      ( m2(X0)
      | ~ s0(X0)
      | ~ l1(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).

fof(f213,axiom,
    ! [X0,X1] :
      ( ~ l1(X1,X0)
      | p2(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_175) ).

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

fof(f230,axiom,
    ! [X2,X3,X0,X1] :
      ( k3(X0,X1,X0)
      | ~ s1(X1)
      | ~ p2(X2,X1,X3)
      | ~ n0(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).

fof(f273,axiom,
    ! [X0,X1] :
      ( m3(X0,X0,X1)
      | ~ r2(X1)
      | ~ k3(X0,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_235) ).

fof(f305,axiom,
    ! [X2,X0,X1] :
      ( r3(X0,X1,X0)
      | ~ p2(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).

fof(f306,axiom,
    ! [X2,X3,X0,X1] :
      ( r3(X0,X0,X1)
      | ~ m2(X1)
      | ~ m3(X2,b,X0)
      | ~ r3(X1,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).

fof(f369,negated_conjecture,
    ! [X0] : ~ r3(a,X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f370,plain,
    ~ s0(d),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f378,plain,
    ! [X0] : ~ p0(b,X0),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f380,plain,
    ! [X0] : ~ q0(X0,d),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f382,plain,
    ~ l0(a),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f394,plain,
    ~ q0(a,b),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f395,plain,
    ~ n0(b,a),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( l1(X0,X0)
      | n0(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ~ q1(X0,X0,X0)
      | q0(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f512,plain,
    ! [X0,X1] :
      ( r1(X0)
      | q0(X0,X1)
      | s0(d)
      | q1(d,X1,d) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f513,plain,
    ! [X0] :
      ( p0(X0,X0)
      | ~ s1(X0) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f514,plain,
    ! [X2,X0,X1] :
      ( ~ s1(X0)
      | q0(X0,X1)
      | s1(X2) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f522,plain,
    ! [X2,X0,X1] :
      ( ~ m2(X0)
      | s0(X0)
      | ~ l1(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f565,plain,
    ! [X0] :
      ( ~ r2(X0)
      | ~ r1(X0)
      | l0(X0) ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f569,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(X2,X1,X3)
      | s1(X1)
      | k3(X0,X1,X0)
      | n0(X0,X3) ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f606,plain,
    ! [X0,X1] :
      ( m3(X0,X0,X1)
      | r2(X1)
      | ~ k3(X0,X1,X0) ),
    inference(consistent_polarity_flipping,[],[f273]) ).

fof(f636,plain,
    ! [X2,X0,X1] :
      ( ~ r3(X0,X1,X0)
      | ~ p2(X0,X2,X1) ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f637,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(X0,X0,X1)
      | m2(X1)
      | ~ m3(X2,b,X0)
      | r3(X1,X3,X3) ),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f685,plain,
    ! [X0] : r3(a,X0,d),
    inference(consistent_polarity_flipping,[],[f369]) ).

fof(f918,definition,
    ( spl0_60
  <=> ! [X1] : s1(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f919,plain,
    ( ! [X1] : s1(X1)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f997,definition,
    ( spl0_80
  <=> m2(d) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f999,plain,
    ( m2(d)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1129,definition,
    ( spl0_113
  <=> r2(a) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ r2(a)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1131,plain,
    ( r2(a)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1192,definition,
    ( spl0_128
  <=> s0(d) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1193,plain,
    ( ~ s0(d)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1196,definition,
    ( spl0_129
  <=> s1(a) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1197,plain,
    ( ~ s1(a)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1198,plain,
    ( s1(a)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1260,definition,
    ( spl0_145
  <=> p2(a,a,a) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1262,plain,
    ( p2(a,a,a)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1260]) ).

fof(f1450,definition,
    ( spl0_192
  <=> ! [X2,X1] : ~ l1(X1,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

fof(f1451,plain,
    ( ! [X2,X1] : ~ l1(X1,X2)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f1453,definition,
    ( spl0_193
  <=> ! [X0] :
        ( ~ m2(X0)
        | s0(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

fof(f1454,plain,
    ( ! [X0] :
        ( ~ m2(X0)
        | s0(X0) )
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f1455,plain,
    ( spl0_192
    | spl0_193 ),
    inference(avatar_split_clause,[],[f522,f1453,f1450]) ).

fof(f1457,definition,
    ( spl0_194
  <=> ! [X1] : p0(X1,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1458,plain,
    ( ! [X1] : p0(X1,X1)
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f1457]) ).

fof(f1473,definition,
    ( spl0_198
  <=> ! [X0,X1] :
        ( ~ s1(X0)
        | q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1474,plain,
    ( ! [X0,X1] :
        ( ~ s1(X0)
        | q0(X0,X1) )
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1473]) ).

fof(f1475,plain,
    ( spl0_60
    | spl0_198 ),
    inference(avatar_split_clause,[],[f514,f1473,f918]) ).

fof(f1477,definition,
    ( spl0_199
  <=> ! [X0,X1] :
        ( r1(X0)
        | q1(d,X1,d)
        | q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

fof(f1478,plain,
    ( ! [X0,X1] :
        ( q1(d,X1,d)
        | q0(X0,X1)
        | r1(X0) )
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f1477]) ).

fof(f1479,plain,
    ( spl0_128
    | spl0_199 ),
    inference(avatar_split_clause,[],[f512,f1477,f1192]) ).

fof(f1592,definition,
    ( spl0_227
  <=> l0(a) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1593,plain,
    ( ~ l0(a)
    | spl0_227 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1876,plain,
    ~ spl0_227,
    inference(avatar_split_clause,[],[f382,f1592]) ).

fof(f1884,plain,
    ~ spl0_128,
    inference(avatar_split_clause,[],[f370,f1192]) ).

fof(f1901,plain,
    ( $false
    | ~ spl0_194 ),
    inference(resolution,[],[f1458,f378]) ).

fof(f1902,plain,
    ~ spl0_194,
    inference(avatar_contradiction_clause,[],[f1901]) ).

fof(f1970,plain,
    ( ! [X0] : p0(X0,X0)
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f513,f919]) ).

fof(f1971,plain,
    ( spl0_194
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1970,f918,f1457]) ).

fof(f1984,plain,
    ( ! [X0,X1] : n0(X1,X0)
    | ~ spl0_192 ),
    inference(forward_subsumption_resolution,[],[f397,f1451]) ).

fof(f1991,plain,
    ( $false
    | ~ spl0_192 ),
    inference(backward_subsumption_resolution,[],[f395,f1984]) ).

fof(f1999,plain,
    ~ spl0_192,
    inference(avatar_contradiction_clause,[],[f1991]) ).

fof(f2016,plain,
    l1(a,a),
    inference(resolution,[],[f397,f395]) ).

fof(f2065,plain,
    p2(a,a,a),
    inference(resolution,[],[f213,f2016]) ).

fof(f2068,plain,
    spl0_145,
    inference(avatar_split_clause,[],[f2065,f1260]) ).

fof(f2125,plain,
    ! [X0] : m1(X0,d,X0),
    inference(resolution,[],[f43,f19]) ).

fof(f2153,plain,
    ! [X0] : p2(d,X0,d),
    inference(resolution,[],[f214,f2125]) ).

fof(f2471,plain,
    ( ! [X0,X1] :
        ( q0(X0,d)
        | r1(X0)
        | q0(X1,d) )
    | ~ spl0_199 ),
    inference(resolution,[],[f1478,f481]) ).

fof(f2495,plain,
    ( ! [X0,X1] :
        ( r1(X0)
        | q0(X1,d) )
    | ~ spl0_199 ),
    inference(forward_subsumption_resolution,[],[f2471,f380]) ).

fof(f2498,definition,
    ( spl0_300
  <=> ! [X0] : r1(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).

fof(f2499,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_300 ),
    inference(avatar_component_clause,[],[f2498]) ).

fof(f2527,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_199 ),
    inference(forward_subsumption_resolution,[],[f2495,f380]) ).

fof(f2533,plain,
    ( spl0_300
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f2527,f1477,f2498]) ).

fof(f2541,plain,
    ( ! [X0] :
        ( ~ r2(X0)
        | l0(X0) )
    | ~ spl0_300 ),
    inference(forward_subsumption_resolution,[],[f565,f2499]) ).

fof(f2544,plain,
    ( l0(a)
    | ~ spl0_113
    | ~ spl0_300 ),
    inference(resolution,[],[f2541,f1131]) ).

fof(f2548,plain,
    ( $false
    | ~ spl0_113
    | spl0_227
    | ~ spl0_300 ),
    inference(forward_subsumption_resolution,[],[f2544,f1593]) ).

fof(f2549,plain,
    ( ~ spl0_113
    | spl0_227
    | ~ spl0_300 ),
    inference(avatar_contradiction_clause,[],[f2548]) ).

fof(f2760,plain,
    ( ! [X0] : q0(a,X0)
    | ~ spl0_129
    | ~ spl0_198 ),
    inference(resolution,[],[f1198,f1474]) ).

fof(f2933,plain,
    ( $false
    | ~ spl0_129
    | ~ spl0_198 ),
    inference(backward_subsumption_resolution,[],[f394,f2760]) ).

fof(f2936,plain,
    ( ~ spl0_129
    | ~ spl0_198 ),
    inference(avatar_contradiction_clause,[],[f2933]) ).

fof(f3189,plain,
    ( ! [X0] :
        ( s1(a)
        | k3(X0,a,X0)
        | n0(X0,a) )
    | ~ spl0_145 ),
    inference(resolution,[],[f569,f1262]) ).

fof(f3203,plain,
    ( ! [X0] :
        ( k3(X0,a,X0)
        | n0(X0,a) )
    | spl0_129
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f3189,f1197]) ).

fof(f3290,plain,
    ! [X0,X1] :
      ( m2(d)
      | ~ m3(X0,b,a)
      | r3(d,X1,X1) ),
    inference(resolution,[],[f637,f685]) ).

fof(f3293,definition,
    ( spl0_392
  <=> ! [X1] : r3(d,X1,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).

fof(f3294,plain,
    ( ! [X1] : r3(d,X1,X1)
    | ~ spl0_392 ),
    inference(avatar_component_clause,[],[f3293]) ).

fof(f3296,definition,
    ( spl0_393
  <=> ! [X0] : ~ m3(X0,b,a) ),
    introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).

fof(f3297,plain,
    ( ! [X0] : ~ m3(X0,b,a)
    | ~ spl0_393 ),
    inference(avatar_component_clause,[],[f3296]) ).

fof(f3298,plain,
    ( spl0_392
    | spl0_393
    | spl0_80 ),
    inference(avatar_split_clause,[],[f3290,f997,f3296,f3293]) ).

fof(f3299,plain,
    ( s0(d)
    | ~ spl0_80
    | ~ spl0_193 ),
    inference(resolution,[],[f999,f1454]) ).

fof(f3300,plain,
    ( $false
    | ~ spl0_80
    | spl0_128
    | ~ spl0_193 ),
    inference(forward_subsumption_resolution,[],[f3299,f1193]) ).

fof(f3301,plain,
    ( ~ spl0_80
    | spl0_128
    | ~ spl0_193 ),
    inference(avatar_contradiction_clause,[],[f3300]) ).

fof(f3306,plain,
    ( ! [X0] : ~ p2(d,X0,d)
    | ~ spl0_392 ),
    inference(resolution,[],[f3294,f636]) ).

fof(f3309,plain,
    ( $false
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f3306,f2153]) ).

fof(f3310,plain,
    ~ spl0_392,
    inference(avatar_contradiction_clause,[],[f3309]) ).

fof(f3326,plain,
    ( r2(a)
    | ~ k3(b,a,b)
    | ~ spl0_393 ),
    inference(resolution,[],[f3297,f606]) ).

fof(f3329,plain,
    ( ~ k3(b,a,b)
    | spl0_113
    | ~ spl0_393 ),
    inference(forward_subsumption_resolution,[],[f3326,f1130]) ).

fof(f3611,plain,
    ( n0(b,a)
    | spl0_113
    | spl0_129
    | ~ spl0_145
    | ~ spl0_393 ),
    inference(resolution,[],[f3203,f3329]) ).

fof(f3612,plain,
    ( $false
    | spl0_113
    | spl0_129
    | ~ spl0_145
    | ~ spl0_393 ),
    inference(forward_subsumption_resolution,[],[f3611,f395]) ).

fof(f3613,plain,
    ( spl0_113
    | spl0_129
    | ~ spl0_145
    | ~ spl0_393 ),
    inference(avatar_contradiction_clause,[],[f3612]) ).

cnf(s88,plain,
    ( spl0_192
    | spl0_193 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s91,plain,
    ( spl0_60
    | spl0_198 ),
    inference(sat_conversion,[],[f1475]) ).

cnf(s92,plain,
    ( spl0_128
    | spl0_199 ),
    inference(sat_conversion,[],[f1479]) ).

cnf(s160,plain,
    ~ spl0_227,
    inference(sat_conversion,[],[f1876]) ).

cnf(s168,plain,
    ~ spl0_128,
    inference(sat_conversion,[],[f1884]) ).

cnf(s177,plain,
    ~ spl0_194,
    inference(sat_conversion,[],[f1902]) ).

cnf(s211,plain,
    ( ~ spl0_60
    | spl0_194 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s222,plain,
    ~ spl0_192,
    inference(sat_conversion,[],[f1999]) ).

cnf(s244,plain,
    spl0_145,
    inference(sat_conversion,[],[f2068]) ).

cnf(s320,plain,
    ( ~ spl0_199
    | spl0_300 ),
    inference(sat_conversion,[],[f2533]) ).

cnf(s326,plain,
    ( ~ spl0_113
    | spl0_227
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s376,plain,
    ( ~ spl0_129
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f2936]) ).

cnf(s429,plain,
    ( spl0_80
    | spl0_392
    | spl0_393 ),
    inference(sat_conversion,[],[f3298]) ).

cnf(s430,plain,
    ( ~ spl0_80
    | spl0_128
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f3301]) ).

cnf(s431,plain,
    ~ spl0_392,
    inference(sat_conversion,[],[f3310]) ).

cnf(s474,plain,
    ( spl0_113
    | spl0_129
    | ~ spl0_145
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f3613]) ).

cnf(s476,plain,
    ( spl0_80
    | spl0_393 ),
    inference(rat,[],[s429,s431]) ).

cnf(s495,plain,
    ~ spl0_60,
    inference(rat,[],[s211,s177]) ).

cnf(s570,plain,
    spl0_199,
    inference(rat,[],[s92,s168]) ).

cnf(s571,plain,
    spl0_300,
    inference(rat,[],[s320,s570]) ).

cnf(s576,plain,
    ~ spl0_113,
    inference(rat,[],[s326,s160,s571]) ).

cnf(s579,plain,
    spl0_198,
    inference(rat,[],[s91,s495]) ).

cnf(s581,plain,
    ~ spl0_129,
    inference(rat,[],[s376,s579]) ).

cnf(s588,plain,
    ~ spl0_393,
    inference(rat,[],[s474,s576,s244,s581]) ).

cnf(s589,plain,
    spl0_80,
    inference(rat,[],[s476,s588]) ).

cnf(s590,plain,
    ~ spl0_193,
    inference(rat,[],[s430,s168,s589]) ).

cnf(s602,plain,
    $false,
    inference(rat,[],[s88,s590,s222]) ).

fof(f3614,plain,
    $false,
    inference(avatar_sat_refutation,[],[s602]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN190-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16  % Computer : n004.cluster.edu
% 0.08/0.16  % Model    : x86_64 x86_64
% 0.08/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16  % Memory   : 8046.5625MB
% 0.08/0.16  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 15:37:52 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  Running first-order model finding
% 0.08/0.20  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
% 0.18/0.30  % (472972)Will run a generic schedule for satisfiability detection.
% 0.18/0.30  % (472980)dis+10_1_sil=32000:sp=arity:random_seed=4159215245:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30  % (472978)% WARNING: option uhcvi not known.
% 0.18/0.30  % (472978)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1067233698:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30  % (472977)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1167871677_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30  % (472979)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=16156293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30  % (472981)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3447884374:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30  % (472982)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=39616066:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30  % (472983)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2773272726:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30  % Detected minimum model sizes of [1]
% 0.18/0.30  % Detected maximum model sizes of [5]
% 0.18/0.30  % TRYING [1]
% 0.18/0.30  % TRYING [2]
% 0.18/0.30  % TRYING [3]
% 0.18/0.30  % (472980)Instruction limit reached! 
% 0.18/0.30  % (472980)------------------------------
% 0.18/0.30  % (472980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30  % (472980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30  % (472980)CaDiCaL version: 2.1.3
% 0.18/0.30  % (472980)Termination reason: Instruction limit
% 0.18/0.30  % (472980)Termination phase: Saturation
% 0.18/0.30  % (472980)Time elapsed: 0.041 s
% 0.18/0.30  % (472980)Peak memory usage: 13 MB
% 0.18/0.30  % (472980)Instructions burned: 105 (million)
% 0.18/0.30  % TRYING [4]
% 0.18/0.30  % (472978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-472972-472978"...
% 0.18/0.30  % (473000)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=307706276:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.30  % (472978)...printing done.
% 0.18/0.30  % (472982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-472972-472982"...
% 0.18/0.30  % (472978)Refutation found. Thanks to Tanya!
% 0.18/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30  % (472978)------------------------------
% 0.18/0.30  % (472978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30  % (472978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30  % (472978)CaDiCaL version: 2.1.3
% 0.18/0.30  % (472978)Termination reason: Refutation
% 0.18/0.30  % (472978)Time elapsed: 0.044 s
% 0.18/0.30  % (472978)Peak memory usage: 14 MB
% 0.18/0.30  % (472978)Instructions burned: 60 (million)
% 0.18/0.30  % (472972)Success in time 0.089 s
% 0.18/0.30  % Vampire exiting
%------------------------------------------------------------------------------