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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 02:06:52 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  134 (  45 unt;  16 def)
%            Number of atoms       :  294 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  322 ( 162   ~; 144   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   41 (  40 usr;  17 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  103 (   0 sgn 103   !;   0   ?)

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

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).

fof(f13,axiom,
    r0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

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

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).

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

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

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

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

fof(f39,axiom,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | k1(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( ~ m0(X1,X1,X0)
      | m1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_006) ).

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

fof(f135,axiom,
    ! [X0] :
      ( q1(X0,X0,X0)
      | ~ s0(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_097) ).

fof(f138,axiom,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | q1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_100) ).

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

fof(f167,axiom,
    ! [X0,X1] :
      ( ~ q1(X1,X0,X0)
      | k2(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

fof(f174,axiom,
    ( m2(b)
    | ~ k1(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

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

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

fof(f219,axiom,
    ! [X0] :
      ( q2(X0,X0,X0)
      | ~ p1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

fof(f225,axiom,
    ! [X2,X3,X0,X1] :
      ( q2(X0,X1,X0)
      | ~ r1(X1)
      | ~ m0(X2,X3,X0)
      | ~ k0(X1)
      | ~ q2(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).

fof(f248,axiom,
    ! [X0] :
      ( k3(X0,X0,X0)
      | ~ n2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).

fof(f276,axiom,
    ! [X0] :
      ( m3(X0,X0,X0)
      | ~ p2(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_238) ).

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

fof(f307,axiom,
    ! [X0] :
      ( r3(a,a,e)
      | ~ k2(a,a)
      | ~ q2(X0,e,X0)
      | ~ m2(b)
      | ~ m3(a,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_269) ).

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

fof(f325,axiom,
    ! [X0,X1] :
      ( ~ k3(X0,X0,X1)
      | p4(X0,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).

fof(f326,axiom,
    ! [X2,X3,X0,X1] :
      ( p4(X0,X1,X1)
      | ~ r3(X1,X1,X0)
      | ~ p4(X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).

fof(f327,axiom,
    ! [X2,X3,X0,X1] :
      ( p4(X0,X0,X0)
      | ~ l4(X0)
      | ~ n0(X0,X1)
      | ~ p4(X2,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_289) ).

fof(f341,axiom,
    ! [X2,X0,X1] :
      ( ~ p4(X0,X2,X1)
      | ~ r0(X0)
      | m5(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_303) ).

fof(f369,negated_conjecture,
    ~ m5(e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f389,definition,
    ( spl0_6
  <=> ! [X0,X1] : ~ p4(X0,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X0,X1] : ~ p4(X0,X0,X1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f507,definition,
    ( spl0_36
  <=> ! [X2,X3] : ~ p4(X2,X3,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X2,X3] : ~ p4(X2,X3,X2)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,definition,
    ( spl0_37
  <=> ! [X0,X1] :
        ( p4(X0,X0,X0)
        | ~ n0(X0,X1)
        | ~ l4(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X0,X1] :
        ( p4(X0,X0,X0)
        | ~ n0(X0,X1)
        | ~ l4(X0) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl0_36
    | spl0_37 ),
    inference(avatar_split_clause,[],[f327,f510,f507]) ).

fof(f514,definition,
    ( spl0_38
  <=> ! [X0,X1] :
        ( p4(X0,X1,X1)
        | ~ r3(X1,X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X0,X1] :
        ( ~ r3(X1,X1,X0)
        | p4(X0,X1,X1) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( spl0_6
    | spl0_38 ),
    inference(avatar_split_clause,[],[f326,f514,f389]) ).

fof(f580,definition,
    ( spl0_54
  <=> m2(b) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f584,definition,
    ( spl0_55
  <=> ! [X0] :
        ( ~ q2(X0,e,X0)
        | ~ m3(a,X0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f585,plain,
    ( ! [X0] :
        ( ~ m3(a,X0,X0)
        | ~ q2(X0,e,X0) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f587,definition,
    ( spl0_56
  <=> k2(a,a) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f591,definition,
    ( spl0_57
  <=> r3(a,a,e) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f593,plain,
    ( r3(a,a,e)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f594,plain,
    ( ~ spl0_54
    | spl0_55
    | ~ spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f307,f591,f587,f584,f580]) ).

fof(f802,definition,
    ( spl0_110
  <=> r0(e) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f803,plain,
    ( r0(e)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f888,definition,
    ( spl0_131
  <=> s0(d) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f889,plain,
    ( s0(d)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f995,definition,
    ( spl0_158
  <=> ! [X0] : p2(X0,X0,X0) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f996,plain,
    ( ! [X0] : p2(X0,X0,X0)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f1141,definition,
    ( spl0_194
  <=> k1(b) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1144,plain,
    ( ~ spl0_194
    | spl0_54 ),
    inference(avatar_split_clause,[],[f174,f580,f1141]) ).

fof(f1173,definition,
    ( spl0_202
  <=> ! [X0,X1] :
        ( r1(X0)
        | ~ q1(d,X1,d)
        | ~ q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1174,plain,
    ( ! [X0,X1] :
        ( ~ q1(d,X1,d)
        | r1(X0)
        | ~ q0(X0,X1) )
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1175,plain,
    ( ~ spl0_131
    | spl0_202 ),
    inference(avatar_split_clause,[],[f162,f1173,f888]) ).

fof(f1198,definition,
    ( spl0_208
  <=> k0(e) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1199,plain,
    ( k0(e)
    | ~ spl0_208 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1261,definition,
    ( spl0_224
  <=> ! [X0] :
        ( q1(X0,X0,X0)
        | ~ s0(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1262,plain,
    ( ! [X0] :
        ( q1(X0,X0,X0)
        | ~ s0(X0) )
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f1264,plain,
    spl0_224,
    inference(avatar_split_clause,[],[f135,f1261]) ).

fof(f1568,plain,
    spl0_208,
    inference(avatar_split_clause,[],[f28,f1198]) ).

fof(f1574,plain,
    spl0_110,
    inference(avatar_split_clause,[],[f13,f802]) ).

fof(f1580,plain,
    spl0_131,
    inference(avatar_split_clause,[],[f1,f888]) ).

fof(f1638,plain,
    k1(b),
    inference(resolution,[],[f39,f15]) ).

fof(f1659,plain,
    spl0_194,
    inference(avatar_split_clause,[],[f1638,f1141]) ).

fof(f1778,plain,
    ! [X0] :
      ( ~ n2(X0)
      | l4(X0) ),
    inference(resolution,[],[f315,f282]) ).

fof(f1858,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f1877,plain,
    q1(a,a,a),
    inference(resolution,[],[f138,f37]) ).

fof(f1950,plain,
    ! [X0] : n2(X0),
    inference(resolution,[],[f1858,f175]) ).

fof(f1953,plain,
    ! [X0] : l4(X0),
    inference(resolution,[],[f1950,f1778]) ).

fof(f2006,plain,
    ! [X0] : m1(X0,X0,X0),
    inference(resolution,[],[f44,f19]) ).

fof(f2019,plain,
    k2(a,a),
    inference(resolution,[],[f1877,f167]) ).

fof(f2022,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f2019,f587]) ).

fof(f2091,plain,
    ! [X0] : p2(X0,X0,X0),
    inference(resolution,[],[f2006,f214]) ).

fof(f2092,plain,
    spl0_158,
    inference(avatar_split_clause,[],[f2091,f995]) ).

fof(f2094,plain,
    ! [X0] : q2(X0,X0,X0),
    inference(forward_subsumption_resolution,[],[f219,f1858]) ).

fof(f2108,plain,
    ( ! [X0] : m3(X0,X0,X0)
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f276,f996]) ).

fof(f2124,plain,
    ( ! [X0,X1] : ~ k3(X0,X0,X1)
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f325,f508]) ).

fof(f2127,plain,
    ( ! [X0] : ~ n2(X0)
    | ~ spl0_36 ),
    inference(resolution,[],[f2124,f248]) ).

fof(f2130,plain,
    ( $false
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f2127,f1950]) ).

fof(f2131,plain,
    ~ spl0_36,
    inference(avatar_contradiction_clause,[],[f2130]) ).

fof(f2133,plain,
    ( ! [X0,X1] :
        ( ~ n0(X0,X1)
        | ~ l4(X0) )
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f511,f390]) ).

fof(f2134,plain,
    ( ! [X0,X1] : ~ n0(X0,X1)
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f2133,f1953]) ).

fof(f2135,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_37 ),
    inference(resolution,[],[f2134,f3]) ).

fof(f2150,plain,
    ( ~ spl0_6
    | ~ spl0_37 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2180,plain,
    ( ~ q2(a,e,a)
    | ~ spl0_55
    | ~ spl0_158 ),
    inference(resolution,[],[f585,f2108]) ).

fof(f2418,plain,
    ( ! [X0] :
        ( r1(X0)
        | ~ q0(X0,d)
        | ~ s0(d) )
    | ~ spl0_202
    | ~ spl0_224 ),
    inference(resolution,[],[f1174,f1262]) ).

fof(f2426,plain,
    ( ! [X0] :
        ( r1(X0)
        | ~ q0(X0,d) )
    | ~ spl0_131
    | ~ spl0_202
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[],[f2418,f889]) ).

fof(f2436,definition,
    ( spl0_301
  <=> ! [X0] : r1(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

fof(f2437,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f2436]) ).

fof(f2439,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_131
    | ~ spl0_202
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[],[f2426,f17]) ).

fof(f2444,plain,
    ( spl0_301
    | ~ spl0_131
    | ~ spl0_202
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f2439,f1261,f1173,f888,f2436]) ).

fof(f3449,plain,
    ( ! [X2,X3,X0,X1] :
        ( q2(X0,X1,X0)
        | ~ m0(X2,X3,X0)
        | ~ k0(X1)
        | ~ q2(X1,X1,X1) )
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f225,f2437]) ).

fof(f3450,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ m0(X2,X3,X0)
        | q2(X0,X1,X0)
        | ~ k0(X1) )
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f3449,f2094]) ).

fof(f3463,plain,
    ( ! [X0,X1] :
        ( q2(X0,X1,X0)
        | ~ k0(X1) )
    | ~ spl0_301 ),
    inference(resolution,[],[f3450,f19]) ).

fof(f3566,plain,
    ( p4(e,a,a)
    | ~ spl0_38
    | ~ spl0_57 ),
    inference(resolution,[],[f593,f515]) ).

fof(f3568,plain,
    ( ~ r0(e)
    | m5(e,a)
    | ~ spl0_38
    | ~ spl0_57 ),
    inference(resolution,[],[f3566,f341]) ).

fof(f3569,plain,
    ( m5(e,a)
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f3568,f803]) ).

fof(f3570,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f3569,f369]) ).

fof(f3571,plain,
    ( ~ spl0_38
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3570]) ).

fof(f3765,plain,
    ( ~ k0(e)
    | ~ spl0_55
    | ~ spl0_158
    | ~ spl0_301 ),
    inference(resolution,[],[f3463,f2180]) ).

fof(f3767,plain,
    ( $false
    | ~ spl0_55
    | ~ spl0_158
    | ~ spl0_208
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f3765,f1199]) ).

fof(f3768,plain,
    ( ~ spl0_55
    | ~ spl0_158
    | ~ spl0_208
    | ~ spl0_301 ),
    inference(avatar_contradiction_clause,[],[f3767]) ).

cnf(s17,plain,
    ( spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s18,plain,
    ( spl0_6
    | spl0_38 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s25,plain,
    ( ~ spl0_54
    | spl0_55
    | ~ spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s89,plain,
    ( spl0_54
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s94,plain,
    ( ~ spl0_131
    | spl0_202 ),
    inference(sat_conversion,[],[f1175]) ).

cnf(s108,plain,
    spl0_224,
    inference(sat_conversion,[],[f1264]) ).

cnf(s158,plain,
    spl0_208,
    inference(sat_conversion,[],[f1568]) ).

cnf(s164,plain,
    spl0_110,
    inference(sat_conversion,[],[f1574]) ).

cnf(s170,plain,
    spl0_131,
    inference(sat_conversion,[],[f1580]) ).

cnf(s205,plain,
    spl0_194,
    inference(sat_conversion,[],[f1659]) ).

cnf(s302,plain,
    spl0_56,
    inference(sat_conversion,[],[f2022]) ).

cnf(s305,plain,
    spl0_158,
    inference(sat_conversion,[],[f2092]) ).

cnf(s308,plain,
    ~ spl0_36,
    inference(sat_conversion,[],[f2131]) ).

cnf(s317,plain,
    ( ~ spl0_6
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s351,plain,
    ( ~ spl0_131
    | ~ spl0_202
    | ~ spl0_224
    | spl0_301 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s454,plain,
    ( ~ spl0_38
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f3571]) ).

cnf(s468,plain,
    ( ~ spl0_55
    | ~ spl0_158
    | ~ spl0_208
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f3768]) ).

cnf(s559,plain,
    spl0_202,
    inference(rat,[],[s94,s170]) ).

cnf(s560,plain,
    spl0_301,
    inference(rat,[],[s351,s108,s170,s559]) ).

cnf(s567,plain,
    ~ spl0_55,
    inference(rat,[],[s468,s158,s305,s560]) ).

cnf(s586,plain,
    spl0_54,
    inference(rat,[],[s89,s205]) ).

cnf(s652,plain,
    spl0_57,
    inference(rat,[],[s25,s302,s567,s586]) ).

cnf(s653,plain,
    ~ spl0_38,
    inference(rat,[],[s454,s164,s652]) ).

cnf(s657,plain,
    spl0_6,
    inference(rat,[],[s18,s653]) ).

cnf(s658,plain,
    ~ spl0_37,
    inference(rat,[],[s317,s657]) ).

cnf(s659,plain,
    $false,
    inference(rat,[],[s17,s658,s308]) ).

fof(f3771,plain,
    $false,
    inference(avatar_sat_refutation,[],[s659]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n011.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 15:37:00 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.19/0.29  % (3474011)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (3474019)dis+10_1_sil=32000:sp=arity:random_seed=3502443947:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (3474017)% WARNING: option uhcvi not known.
% 0.19/0.29  % (3474017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1283117735:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (3474016)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1796787109_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (3474018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3689321330:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (3474020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=920181463:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % (3474021)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3767771837:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % (3474019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3474011-3474019"...
% 0.19/0.29  % (3474019)...printing done.
% 0.19/0.29  % (3474019)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29  % (3474019)------------------------------
% 0.19/0.29  % (3474019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (3474019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (3474019)CaDiCaL version: 2.1.3
% 0.19/0.29  % (3474019)Termination reason: Refutation
% 0.19/0.29  % (3474019)Time elapsed: 0.021 s
% 0.19/0.29  % (3474019)Peak memory usage: 13 MB
% 0.19/0.29  % (3474019)Instructions burned: 57 (million)
% 0.19/0.29  % (3474011)Success in time 0.063 s
% 0.19/0.29  % Vampire exiting
%------------------------------------------------------------------------------