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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 02:06:29 PM UTC 2026

% Result   : Unsatisfiable 0.18s 0.26s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  103 (   8 unt;  11 def)
%            Number of atoms       :  282 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  326 ( 147   ~; 168   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :  163 (   0 sgn 163   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
    ! [X0,X1] :
      ( p(f1(X0,X1),f1(X0,X1))
      | ~ s(X0,f1(X0,X1))
      | ~ s(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).

fof(f5,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( p(f1(X0,X1),f1(X0,X1))
      | s(f1(X0,X1),X2)
      | q(f1(X0,X1),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).

fof(f9,negated_conjecture,
    ! [X2,X0,X1] :
      ( p(f1(X0,X1),f1(X0,X1))
      | ~ q(X2,X2)
      | ~ s(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).

fof(f12,negated_conjecture,
    ! [X0,X1] :
      ( ~ s(X0,f1(X0,X1))
      | ~ p(X0,X0)
      | ~ s(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).

fof(f14,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ p(X0,X0)
      | s(f1(X0,X1),X2)
      | q(f1(X0,X1),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).

fof(f18,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ p(X0,X0)
      | ~ q(X1,X1)
      | ~ s(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_18) ).

fof(f21,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ s(X1,f1(X1,X2))
      | s(X0,X1)
      | ~ s(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).

fof(f25,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( s(X0,X1)
      | ~ q(X2,X2)
      | ~ q(X3,f1(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_25) ).

fof(f27,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( s(X0,X1)
      | ~ q(X2,X2)
      | ~ s(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_27) ).

fof(f29,definition,
    ( spl0_1
  <=> ! [X3] : ~ s(X3,X3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f30,plain,
    ( ! [X3] : ~ s(X3,X3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f32,definition,
    ( spl0_2
  <=> ! [X2] : ~ q(X2,X2) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f33,plain,
    ( ! [X2] : ~ q(X2,X2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f35,definition,
    ( spl0_3
  <=> ! [X0,X1] : s(X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f36,plain,
    ( ! [X0,X1] : s(X0,X1)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f37,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f27,f35,f32,f29]) ).

fof(f39,definition,
    ( spl0_4
  <=> ! [X0,X1,X3] :
        ( s(X0,X1)
        | ~ q(X3,f1(X1,X3)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f40,plain,
    ( ! [X3,X0,X1] :
        ( ~ q(X3,f1(X1,X3))
        | s(X0,X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f41,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f39,f32]) ).

fof(f43,definition,
    ( spl0_5
  <=> ! [X0] : ~ p(X0,X0) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f44,plain,
    ( ! [X0] : ~ p(X0,X0)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f45,plain,
    ( spl0_1
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f18,f43,f32,f29]) ).

fof(f51,definition,
    ( spl0_7
  <=> ! [X0,X1] :
        ( p(f1(X0,X1),f1(X0,X1))
        | ~ s(X1,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f52,plain,
    ( ! [X0,X1] :
        ( p(f1(X0,X1),f1(X0,X1))
        | ~ s(X1,X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f53,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f51,f32]) ).

fof(f101,plain,
    ( ! [X2,X0,X1] :
        ( p(f1(X0,X1),f1(X0,X1))
        | q(f1(X0,X1),X2) )
    | ~ spl0_1 ),
    inference(resolution,[],[f5,f30]) ).

fof(f111,plain,
    ( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f101,f33]) ).

fof(f126,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( s(f1(f1(X0,X1),X2),X3)
        | q(f1(f1(X0,X1),X2),X4) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f111,f14]) ).

fof(f132,plain,
    ( ! [X2,X3,X0,X1] : q(f1(f1(X0,X1),X2),X3)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f126,f30]) ).

fof(f142,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f132,f33]) ).

fof(f148,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f142]) ).

fof(f167,definition,
    ( spl0_13
  <=> ! [X2,X4,X3] :
        ( p(f1(X2,X3),f1(X2,X3))
        | s(f1(X2,X3),X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f168,plain,
    ( ! [X2,X3,X4] :
        ( p(f1(X2,X3),f1(X2,X3))
        | s(f1(X2,X3),X4) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f170,plain,
    ( ! [X2,X0,X1] :
        ( p(f1(X0,X1),f1(X0,X1))
        | s(f1(X0,X1),X2) )
    | ~ spl0_2 ),
    inference(resolution,[],[f33,f5]) ).

fof(f173,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f170,f32,f167]) ).

fof(f177,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( s(X0,X1)
        | p(f1(X2,X3),f1(X2,X3))
        | s(f1(X2,X3),X4) )
    | ~ spl0_4 ),
    inference(resolution,[],[f40,f5]) ).

fof(f180,plain,
    ( spl0_13
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f177,f39,f35,f167]) ).

fof(f198,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( s(f1(X0,X1),X2)
        | s(f1(f1(X0,X1),X3),X4)
        | q(f1(f1(X0,X1),X3),X5) )
    | ~ spl0_13 ),
    inference(resolution,[],[f168,f14]) ).

fof(f204,plain,
    ( ! [X0,X1] : p(f1(X0,X1),f1(X0,X1))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f168,f30]) ).

fof(f209,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( s(f1(f1(X0,X1),X2),X3)
        | q(f1(f1(X0,X1),X2),X4) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f204,f14]) ).

fof(f215,plain,
    ( ! [X2,X3,X0,X1] : q(f1(f1(X0,X1),X2),X3)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f209,f30]) ).

fof(f239,plain,
    ( ! [X0,X1] : s(X0,X1)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(resolution,[],[f215,f40]) ).

fof(f245,plain,
    ( spl0_3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f239,f167,f39,f29,f35]) ).

fof(f368,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( s(f1(X0,X1),X3)
        | s(f1(f1(X0,X1),X2),X4) )
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(resolution,[],[f198,f33]) ).

fof(f373,definition,
    ( spl0_18
  <=> ! [X2,X4,X0,X5,X1] :
        ( s(f1(X0,X1),X4)
        | s(f1(f1(X0,X1),X2),X5) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X2,X0,X1,X4,X5] :
        ( s(f1(X0,X1),X4)
        | s(f1(f1(X0,X1),X2),X5) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f389,plain,
    ( spl0_18
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f368,f167,f32,f373]) ).

fof(f403,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( s(f1(X0,X1),X4)
        | s(X5,f1(f1(X0,X1),X2))
        | ~ s(X3,X3) )
    | ~ spl0_18 ),
    inference(resolution,[],[f374,f21]) ).

fof(f415,definition,
    ( spl0_23
  <=> ! [X2,X4,X0,X5,X1] :
        ( s(f1(X0,X1),X4)
        | s(X5,f1(f1(X0,X1),X2)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X2,X0,X1,X4,X5] :
        ( s(f1(X0,X1),X4)
        | s(X5,f1(f1(X0,X1),X2)) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( spl0_1
    | spl0_23
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f403,f373,f415,f29]) ).

fof(f440,plain,
    ( ! [X2,X3,X0,X1] :
        ( s(f1(X0,X1),X3)
        | ~ p(f1(X0,X1),f1(X0,X1))
        | ~ s(X2,X2) )
    | ~ spl0_23 ),
    inference(resolution,[],[f416,f12]) ).

fof(f447,plain,
    ( ! [X2,X3,X0,X1] :
        ( s(f1(X0,X1),X3)
        | ~ s(X2,X2) )
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f440,f168]) ).

fof(f462,definition,
    ( spl0_29
  <=> ! [X0,X1,X3] : s(f1(X0,X1),X3) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X3,X0,X1] : s(f1(X0,X1),X3)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_1
    | spl0_29
    | ~ spl0_13
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f447,f415,f167,f462,f29]) ).

fof(f468,plain,
    ( ! [X2,X3,X0,X1] :
        ( s(X0,f1(X1,X2))
        | ~ s(X3,X3) )
    | ~ spl0_29 ),
    inference(resolution,[],[f463,f21]) ).

fof(f480,definition,
    ( spl0_31
  <=> ! [X2,X0,X1] : s(X0,f1(X1,X2)) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X2,X0,X1] : s(X0,f1(X1,X2))
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f482,plain,
    ( spl0_1
    | spl0_31
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f468,f462,f480,f29]) ).

fof(f486,plain,
    ( ! [X2,X0,X1] :
        ( s(X0,X1)
        | ~ s(X2,X2) )
    | ~ spl0_31 ),
    inference(resolution,[],[f481,f21]) ).

fof(f487,plain,
    ( ! [X0,X1] :
        ( ~ p(X0,X0)
        | ~ s(X1,X1) )
    | ~ spl0_31 ),
    inference(resolution,[],[f481,f12]) ).

fof(f493,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f487,f480,f43,f29]) ).

fof(f494,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f486,f480,f35,f29]) ).

fof(f499,plain,
    ( ! [X0,X1] :
        ( ~ p(X0,X0)
        | ~ s(X1,X1) )
    | ~ spl0_3 ),
    inference(resolution,[],[f36,f12]) ).

fof(f505,plain,
    ( ! [X0] : ~ p(X0,X0)
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f499,f36]) ).

fof(f506,plain,
    ( spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f505,f35,f43]) ).

fof(f508,plain,
    ( ! [X0,X1] :
        ( ~ s(X0,f1(X0,X1))
        | ~ s(X1,X1) )
    | ~ spl0_5 ),
    inference(resolution,[],[f44,f3]) ).

fof(f511,plain,
    ( ! [X0] : ~ s(X0,X0)
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(resolution,[],[f44,f52]) ).

fof(f515,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f511,f36]) ).

fof(f516,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f517,plain,
    ( ! [X1] : ~ s(X1,X1)
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f508,f481]) ).

fof(f519,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f517,f36]) ).

fof(f520,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f519]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f37]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f41]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f45]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f53]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f148]) ).

cnf(s14,plain,
    ( ~ spl0_2
    | spl0_13 ),
    inference(sat_conversion,[],[f173]) ).

cnf(s16,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_13 ),
    inference(sat_conversion,[],[f180]) ).

cnf(s22,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s34,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_18 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s36,plain,
    ( spl0_1
    | ~ spl0_18
    | spl0_23 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s42,plain,
    ( spl0_1
    | ~ spl0_13
    | ~ spl0_23
    | spl0_29 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s44,plain,
    ( spl0_1
    | ~ spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s45,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s46,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s47,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s50,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s48,s1,s3,s5]) ).

cnf(s51,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s49,s46,s45]) ).

cnf(s52,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s51,s44]) ).

cnf(s53,plain,
    ( ~ spl0_23
    | spl0_1
    | ~ spl0_13 ),
    inference(rat,[],[s52,s42]) ).

cnf(s54,plain,
    spl0_1,
    inference(rat,[],[s53,s36,s34,s14,s50]) ).

cnf(s55,plain,
    ~ spl0_2,
    inference(rat,[],[s8,s54]) ).

cnf(s57,plain,
    spl0_7,
    inference(rat,[],[s5,s55]) ).

cnf(s59,plain,
    spl0_4,
    inference(rat,[],[s2,s55]) ).

cnf(s60,plain,
    ~ spl0_3,
    inference(rat,[],[s47,s48,s57]) ).

cnf(s61,plain,
    ~ spl0_13,
    inference(rat,[],[s22,s59,s54,s60]) ).

cnf(s62,plain,
    $false,
    inference(rat,[],[s16,s59,s60,s61]) ).

fof(f521,plain,
    $false,
    inference(avatar_sat_refutation,[],[s62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN039-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n001.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 15:30:34 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  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
% 0.18/0.26  % (432810)Will run a generic schedule for satisfiability detection.
% 0.18/0.26  % (432818)dis+10_1_sil=32000:sp=arity:random_seed=3676714495:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.26  % (432816)% WARNING: option uhcvi not known.
% 0.18/0.26  % (432818) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-432810-432818"...
% 0.18/0.26  % (432818)...printing done.
% 0.18/0.26  % (432815)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1327789755_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.26  % (432816)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=559033497:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.26  % (432817)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3879084219:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.26  % (432819)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=786315830:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.26  % (432818)Refutation found. Thanks to Tanya!
% 0.18/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27  % (432818)------------------------------
% 0.18/0.27  % (432818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27  % (432818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27  % (432818)CaDiCaL version: 2.1.3
% 0.18/0.27  % (432818)Termination reason: Refutation
% 0.18/0.27  % (432818)Time elapsed: 0.006 s
% 0.18/0.27  % (432818)Peak memory usage: 12 MB
% 0.18/0.27  % (432818)Instructions burned: 15 (million)
% 0.18/0.27  % (432810)Success in time 0.036 s
% 0.18/0.27  % Vampire exiting
%------------------------------------------------------------------------------