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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 01:49:44 PM UTC 2026

% Result   : Unsatisfiable 1.30s 1.13s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  127 (  37 unt;  15 def)
%            Number of atoms       :  281 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  314 ( 160   ~; 139   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   35 (  34 usr;  16 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   75 (   0 sgn  75   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | k1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | l1(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f126,axiom,
    ( p1(a,a,a)
    | ~ l0(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_088) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ m0(X1,X2,X0)
      | q1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_110) ).

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

fof(f163,axiom,
    ! [X0] :
      ( ~ p0(X0,X0)
      | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).

fof(f164,axiom,
    ! [X2,X0,X1] :
      ( s1(X0)
      | ~ q0(X0,X1)
      | ~ s1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).

fof(f219,axiom,
    ! [X0] :
      ( ~ p1(X0,X0,X0)
      | q2(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f224,axiom,
    ! [X0,X1] :
      ( q2(X0,X0,X1)
      | ~ l1(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).

fof(f226,axiom,
    ! [X0] :
      ( ~ r1(X0)
      | r2(X0)
      | ~ l0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).

fof(f228,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).

fof(f231,axiom,
    ! [X0,X1] :
      ( k3(X0,X0,X0)
      | ~ s1(X0)
      | ~ q2(d,X1,d)
      | ~ s2(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_193) ).

fof(f265,axiom,
    ! [X2,X3,X0,X1] :
      ( m3(X0,X0,X0)
      | ~ q0(X1,X2)
      | ~ s0(X3)
      | ~ s2(X2)
      | ~ r2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_227) ).

fof(f333,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ m3(X3,X4,X3)
      | ~ k3(X2,X2,X0)
      | ~ q2(X3,X1,X0)
      | q4(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).

fof(f340,axiom,
    ! [X0,X1] :
      ( l5(X0)
      | ~ q4(X1,X1)
      | ~ k1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_302) ).

fof(f369,negated_conjecture,
    ~ l5(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f371,definition,
    ( spl0_1
  <=> s0(d) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_2
  <=> ! [X0,X1] :
        ( r1(X0)
        | ~ q1(d,X1,d)
        | ~ q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X0,X1] :
        ( ~ q1(d,X1,d)
        | r1(X0)
        | ~ q0(X0,X1) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f162,f375,f371]) ).

fof(f421,definition,
    ( spl0_13
  <=> s2(d) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f423,plain,
    ( s2(d)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f495,definition,
    ( spl0_31
  <=> s0(b) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f496,plain,
    ( s0(b)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f517,plain,
    p1(a,a,a),
    inference(forward_subsumption_resolution,[],[f126,f20]) ).

fof(f612,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1,f371]) ).

fof(f613,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f5,f495]) ).

fof(f629,definition,
    ( spl0_62
  <=> ! [X1] : ~ s0(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f630,plain,
    ( ! [X1] : ~ s0(X1)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f684,definition,
    ( spl0_76
  <=> ! [X1] : ~ s1(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f685,plain,
    ( ! [X1] : ~ s1(X1)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f770,definition,
    ( spl0_97
  <=> ! [X0,X1] :
        ( s1(X0)
        | ~ q0(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f771,plain,
    ( ! [X0,X1] :
        ( ~ q0(X0,X1)
        | s1(X0) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f772,plain,
    ( spl0_76
    | spl0_97 ),
    inference(avatar_split_clause,[],[f164,f770,f684]) ).

fof(f810,definition,
    ( spl0_107
  <=> s1(a) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ s1(a)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_1
    | ~ spl0_107
    | spl0_13 ),
    inference(avatar_split_clause,[],[f228,f421,f810,f371]) ).

fof(f815,definition,
    ( spl0_108
  <=> ! [X1] :
        ( ~ q2(d,X1,d)
        | ~ s2(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f816,plain,
    ( ! [X1] :
        ( ~ q2(d,X1,d)
        | ~ s2(X1) )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,definition,
    ( spl0_109
  <=> ! [X0] :
        ( k3(X0,X0,X0)
        | ~ s1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f819,plain,
    ( ! [X0] :
        ( k3(X0,X0,X0)
        | ~ s1(X0) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( spl0_108
    | spl0_109 ),
    inference(avatar_split_clause,[],[f231,f818,f815]) ).

fof(f822,definition,
    ( spl0_110
  <=> ! [X2,X1] :
        ( ~ q0(X1,X2)
        | ~ s2(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f823,plain,
    ( ! [X2,X1] :
        ( ~ q0(X1,X2)
        | ~ s2(X2) )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,definition,
    ( spl0_111
  <=> ! [X0] :
        ( m3(X0,X0,X0)
        | ~ r2(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f826,plain,
    ( ! [X0] :
        ( m3(X0,X0,X0)
        | ~ r2(X0) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f827,plain,
    ( spl0_62
    | spl0_110
    | spl0_111 ),
    inference(avatar_split_clause,[],[f265,f825,f822,f629]) ).

fof(f958,definition,
    ( spl0_145
  <=> ! [X1] : ~ q4(X1,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f959,plain,
    ( ! [X1] : ~ q4(X1,X1)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,definition,
    ( spl0_146
  <=> ! [X0] :
        ( l5(X0)
        | ~ k1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f962,plain,
    ( ! [X0] :
        ( ~ k1(X0)
        | l5(X0) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f963,plain,
    ( spl0_145
    | spl0_146 ),
    inference(avatar_split_clause,[],[f340,f961,f958]) ).

fof(f1011,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_62 ),
    inference(resolution,[],[f630,f496]) ).

fof(f1012,plain,
    ( ~ spl0_31
    | ~ spl0_62 ),
    inference(avatar_contradiction_clause,[],[f1011]) ).

fof(f1038,plain,
    k1(e),
    inference(resolution,[],[f39,f30]) ).

fof(f1060,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f1061,plain,
    ( $false
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1060,f685]) ).

fof(f1062,plain,
    ~ spl0_76,
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1068,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_97 ),
    inference(resolution,[],[f771,f17]) ).

fof(f1072,plain,
    ( s1(a)
    | ~ spl0_97 ),
    inference(resolution,[],[f771,f36]) ).

fof(f1075,plain,
    ( $false
    | ~ spl0_97
    | spl0_107 ),
    inference(forward_subsumption_resolution,[],[f1072,f812]) ).

fof(f1076,plain,
    ( ~ spl0_97
    | spl0_107 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1078,plain,
    ( ~ s2(d)
    | ~ spl0_110 ),
    inference(resolution,[],[f823,f17]) ).

fof(f1087,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f1078,f423]) ).

fof(f1088,plain,
    ( ~ spl0_13
    | ~ spl0_110 ),
    inference(avatar_contradiction_clause,[],[f1087]) ).

fof(f1098,plain,
    l1(d,d),
    inference(resolution,[],[f40,f34]) ).

fof(f1205,plain,
    ( ~ l1(d,d)
    | ~ s2(d)
    | ~ spl0_108 ),
    inference(resolution,[],[f224,f816]) ).

fof(f1206,plain,
    ( ~ s2(d)
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1205,f1098]) ).

fof(f1208,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f1206,f423]) ).

fof(f1209,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f1208]) ).

fof(f1210,plain,
    ( ! [X0] : k3(X0,X0,X0)
    | ~ spl0_97
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f819,f1068]) ).

fof(f1260,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f148,f19]) ).

fof(f1315,plain,
    q2(a,a,a),
    inference(resolution,[],[f219,f517]) ).

fof(f1552,plain,
    ( ! [X0] :
        ( r1(X0)
        | ~ q0(X0,d) )
    | ~ spl0_2 ),
    inference(resolution,[],[f376,f1260]) ).

fof(f1561,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1552,f17]) ).

fof(f1568,definition,
    ( spl0_162
  <=> ! [X0] : r1(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1569,plain,
    ( ! [X0] : r1(X0)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1568]) ).

fof(f1574,plain,
    ( spl0_162
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1561,f375,f1568]) ).

fof(f1581,plain,
    ( ! [X0] :
        ( ~ l0(X0)
        | r2(X0) )
    | ~ spl0_162 ),
    inference(resolution,[],[f1569,f226]) ).

fof(f1592,plain,
    ( r2(a)
    | ~ spl0_162 ),
    inference(resolution,[],[f1581,f20]) ).

fof(f2393,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ k3(X0,X0,X1)
        | ~ q2(X2,X3,X1)
        | q4(X1,X3)
        | ~ r2(X2) )
    | ~ spl0_111 ),
    inference(resolution,[],[f333,f826]) ).

fof(f2901,plain,
    ( ! [X2,X0,X1] :
        ( ~ q2(X0,X1,X2)
        | q4(X2,X1)
        | ~ r2(X0) )
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111 ),
    inference(resolution,[],[f2393,f1210]) ).

fof(f3086,plain,
    ( q4(a,a)
    | ~ r2(a)
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111 ),
    inference(resolution,[],[f2901,f1315]) ).

fof(f3091,plain,
    ( ~ r2(a)
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f3086,f959]) ).

fof(f3099,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_145
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3091,f1592]) ).

fof(f3100,plain,
    ( ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_145
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3122,plain,
    ( l5(e)
    | ~ spl0_146 ),
    inference(resolution,[],[f962,f1038]) ).

fof(f3126,plain,
    ( $false
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f3122,f369]) ).

fof(f3127,plain,
    ~ spl0_146,
    inference(avatar_contradiction_clause,[],[f3126]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s29,plain,
    spl0_1,
    inference(sat_conversion,[],[f612]) ).

cnf(s30,plain,
    spl0_31,
    inference(sat_conversion,[],[f613]) ).

cnf(s50,plain,
    ( spl0_76
    | spl0_97 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s55,plain,
    ( ~ spl0_1
    | spl0_13
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s56,plain,
    ( spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s57,plain,
    ( spl0_62
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s77,plain,
    ( spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s87,plain,
    ( ~ spl0_31
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s107,plain,
    ~ spl0_76,
    inference(sat_conversion,[],[f1062]) ).

cnf(s109,plain,
    ( ~ spl0_97
    | spl0_107 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s113,plain,
    ( ~ spl0_13
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s140,plain,
    ( ~ spl0_13
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s167,plain,
    ( ~ spl0_2
    | spl0_162 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s236,plain,
    ( ~ spl0_97
    | ~ spl0_109
    | ~ spl0_111
    | ~ spl0_145
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3100]) ).

cnf(s241,plain,
    ~ spl0_146,
    inference(sat_conversion,[],[f3127]) ).

cnf(s253,plain,
    spl0_145,
    inference(rat,[],[s77,s241]) ).

cnf(s265,plain,
    spl0_97,
    inference(rat,[],[s50,s107]) ).

cnf(s273,plain,
    spl0_107,
    inference(rat,[],[s109,s265]) ).

cnf(s283,plain,
    ~ spl0_62,
    inference(rat,[],[s87,s30]) ).

cnf(s293,plain,
    spl0_13,
    inference(rat,[],[s55,s273,s29]) ).

cnf(s296,plain,
    ~ spl0_108,
    inference(rat,[],[s140,s293]) ).

cnf(s297,plain,
    ~ spl0_110,
    inference(rat,[],[s113,s293]) ).

cnf(s300,plain,
    spl0_109,
    inference(rat,[],[s56,s296]) ).

cnf(s301,plain,
    spl0_111,
    inference(rat,[],[s57,s283,s297]) ).

cnf(s305,plain,
    ~ spl0_162,
    inference(rat,[],[s236,s300,s253,s265,s301]) ).

cnf(s308,plain,
    ~ spl0_2,
    inference(rat,[],[s167,s305]) ).

cnf(s323,plain,
    $false,
    inference(rat,[],[s1,s308,s29]) ).

fof(f3128,plain,
    $false,
    inference(avatar_sat_refutation,[],[s323]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN129-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n014.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 15:36:16 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/1.13  % (1857904)Input is clausal, will run a generic CNF schedule.
% 1.30/1.13  % (1857909)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=1868360554:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.30/1.13  % (1857912)lrs+10_1_sil=8000:sp=occurrence:random_seed=2391363803:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.30/1.13  % (1857913)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2375223764:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.30/1.13  % (1857911)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2189285618:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.30/1.13  % (1857910)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1427429825:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.30/1.13  % (1857915)dis-21_1_sil=8000:lcm=predicate:random_seed=9876242: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)
% 1.30/1.13  % (1857914)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1043507386:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.30/1.13  % (1857912)First to succeed.
% 1.30/1.13  % (1857912)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1857904"
% 1.30/1.13  % (1857913)Also succeeded, but the first one will report.
% 1.30/1.13  % (1857914)Also succeeded, but the first one will report.
% 1.30/1.13  % (1857915)Instruction limit reached! 
% 1.30/1.13  % (1857915)------------------------------
% 1.30/1.13  % (1857915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.30/1.13  % (1857915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/1.13  % (1857915)CaDiCaL version: 2.1.3
% 1.30/1.13  % (1857915)Termination reason: Instruction limit
% 1.30/1.13  % (1857915)Termination phase: Saturation
% 1.30/1.13  % (1857915)Time elapsed: 0.055 s
% 1.30/1.13  % (1857915)Peak memory usage: 89 MB
% 1.30/1.13  % (1857915)Instructions burned: 117 (million)
% 1.30/1.13  % (1857923)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=873198673:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.30/1.13  % (1857923)Refutation not found, incomplete strategy
% 1.30/1.13  % (1857923)------------------------------
% 1.30/1.13  % (1857923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.30/1.13  % (1857923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/1.13  % (1857923)CaDiCaL version: 2.1.3
% 1.30/1.13  % (1857923)Termination reason: Refutation not found, incomplete strategy
% 1.30/1.13  % (1857923)Time elapsed: 0.001 s
% 1.30/1.13  % (1857923)Peak memory usage: 87 MB
% 1.30/1.13  % (1857923)Instructions burned: 1 (million)
% 1.30/1.13  % (1857912)Refutation found. Thanks to Tanya!
% 1.30/1.13  % SZS status Unsatisfiable for theBenchmark
% 1.30/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.23  % (1857912)------------------------------
% 3.81/1.23  % (1857912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.23  % (1857912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.23  % (1857912)CaDiCaL version: 2.1.3
% 3.81/1.23  % (1857912)Termination reason: Refutation
% 3.81/1.23  % (1857912)Time elapsed: 0.033 s
% 3.81/1.23  % (1857912)Peak memory usage: 90 MB
% 3.81/1.23  % (1857912)Instructions burned: 47 (million)
% 3.81/1.23  % (1857912)------------------------------
% 3.81/1.23  % (1857912)------------------------------
% 3.81/1.23  % (1857904)Success in time 0.468 s
% 3.81/1.23  % Vampire exiting
%------------------------------------------------------------------------------