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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 12:40:27 PM UTC 2026

% Result   : Unsatisfiable 3.10s 1.34s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   87 (  19 unt;   6 def)
%            Number of atoms       :  188 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  200 (  99   ~;  95   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f69,axiom,
    ! [X0] :
      ( X0 = null_class
      | intersection(X0,regular(X0)) = null_class ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f122,negated_conjecture,
    intersection(complement(y),x) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_1) ).

fof(f123,plain,
    null_class = intersection(complement(y),x),
    inference(reorient_equations,[],[f122]) ).

fof(f124,negated_conjecture,
    subclass(y,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).

fof(f125,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).

fof(f126,plain,
    y != x,
    inference(reorient_equations,[],[f125]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(complement(X1),X2))
      | ~ member(X0,X1) ),
    inference(resolution,[],[f21,f24]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),intersection(X1,X2)) ),
    inference(resolution,[],[f21,f3]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),intersection(X2,X1)) ),
    inference(resolution,[],[f22,f3]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X1,X0),X1)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    inference(resolution,[],[f7,f2]) ).

fof(f163,plain,
    ( ~ subclass(x,y)
    | y = x ),
    inference(resolution,[],[f7,f124]) ).

fof(f165,plain,
    ~ subclass(x,y),
    inference(forward_subsumption_resolution,[],[f163,f126]) ).

fof(f211,plain,
    member(not_subclass_element(x,y),x),
    inference(resolution,[],[f165,f2]) ).

fof(f287,plain,
    ! [X0] :
      ( member(X0,null_class)
      | ~ member(X0,x)
      | ~ member(X0,complement(y)) ),
    inference(superposition,[],[f23,f123]) ).

fof(f290,plain,
    ! [X0] :
      ( subclass(X0,null_class)
      | ~ member(not_subclass_element(X0,null_class),complement(y))
      | ~ member(not_subclass_element(X0,null_class),x) ),
    inference(resolution,[],[f287,f3]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ member(X0,y)
      | ~ member(X0,null_class) ),
    inference(superposition,[],[f135,f123]) ).

fof(f580,plain,
    ! [X0] : ~ member(not_subclass_element(x,y),intersection(y,X0)),
    inference(resolution,[],[f136,f165]) ).

fof(f600,plain,
    ! [X0] : ~ member(not_subclass_element(x,y),intersection(X0,y)),
    inference(resolution,[],[f138,f165]) ).

fof(f925,definition,
    ( spl0_46
  <=> null_class = y ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f926,plain,
    ( null_class != y
    | spl0_46 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f927,plain,
    ( null_class = y
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f1069,plain,
    ( ~ subclass(x,null_class)
    | ~ spl0_46 ),
    inference(superposition,[],[f165,f927]) ).

fof(f1070,plain,
    ( member(not_subclass_element(x,null_class),x)
    | ~ spl0_46 ),
    inference(superposition,[],[f211,f927]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( ~ member(X0,null_class)
        | ~ member(X0,null_class) )
    | ~ spl0_46 ),
    inference(superposition,[],[f502,f927]) ).

fof(f1081,plain,
    ( ! [X0] : ~ member(X0,null_class)
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1073]) ).

fof(f1097,definition,
    ( spl0_54
  <=> subclass(x,null_class) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f1099,plain,
    ( ~ subclass(x,null_class)
    | spl0_54 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f1118,plain,
    ( ~ spl0_54
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1069,f925,f1097]) ).

fof(f1188,definition,
    ( spl0_58
  <=> member(not_subclass_element(x,null_class),x) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f1189,plain,
    ( member(not_subclass_element(x,null_class),x)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1192,definition,
    ( spl0_59
  <=> member(not_subclass_element(x,null_class),complement(null_class)) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f1194,plain,
    ( ~ member(not_subclass_element(x,null_class),complement(null_class))
    | spl0_59 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1250,plain,
    ( spl0_58
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1070,f925,f1188]) ).

fof(f1686,plain,
    ( ~ member(not_subclass_element(x,y),null_class)
    | null_class = y ),
    inference(superposition,[],[f580,f70]) ).

fof(f1688,plain,
    ( ~ member(not_subclass_element(x,y),null_class)
    | spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1686,f926]) ).

fof(f1690,definition,
    ( spl0_81
  <=> member(not_subclass_element(x,y),y) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f1692,plain,
    ( ~ member(not_subclass_element(x,y),y)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f1690]) ).

fof(f1694,definition,
    ( spl0_82
  <=> ! [X0] : ~ member(not_subclass_element(x,y),X0) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f1695,plain,
    ( ! [X0] : ~ member(not_subclass_element(x,y),X0)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f1694]) ).

fof(f1698,plain,
    ( ~ member(not_subclass_element(x,y),x)
    | ~ member(not_subclass_element(x,y),complement(y))
    | spl0_46 ),
    inference(resolution,[],[f1688,f287]) ).

fof(f1702,plain,
    ( ~ member(not_subclass_element(x,y),complement(y))
    | spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1698,f211]) ).

fof(f1703,plain,
    ! [X0] :
      ( ~ member(not_subclass_element(x,y),y)
      | ~ member(not_subclass_element(x,y),X0) ),
    inference(resolution,[],[f600,f23]) ).

fof(f1708,plain,
    ( spl0_82
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1703,f1690,f1694]) ).

fof(f1720,plain,
    ( ~ member(not_subclass_element(x,y),universal_class)
    | member(not_subclass_element(x,y),y)
    | spl0_46 ),
    inference(resolution,[],[f1702,f25]) ).

fof(f1724,plain,
    ( ~ member(not_subclass_element(x,y),universal_class)
    | spl0_46
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1720,f1692]) ).

fof(f1730,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(x,y),X0)
        | ~ subclass(X0,universal_class) )
    | spl0_46
    | spl0_81 ),
    inference(resolution,[],[f1724,f1]) ).

fof(f1733,plain,
    ( ! [X0] : ~ member(not_subclass_element(x,y),X0)
    | spl0_46
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1730,f4]) ).

fof(f1734,plain,
    ( spl0_82
    | spl0_46
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1733,f1690,f925,f1694]) ).

fof(f1886,plain,
    ( ~ member(not_subclass_element(x,null_class),complement(y))
    | ~ member(not_subclass_element(x,null_class),x)
    | spl0_54 ),
    inference(resolution,[],[f1099,f290]) ).

fof(f1891,plain,
    ( ~ member(not_subclass_element(x,null_class),complement(null_class))
    | ~ member(not_subclass_element(x,null_class),x)
    | ~ spl0_46
    | spl0_54 ),
    inference(forward_demodulation,[],[f1886,f927]) ).

fof(f1892,plain,
    ( ~ spl0_58
    | ~ spl0_59
    | ~ spl0_46
    | spl0_54 ),
    inference(avatar_split_clause,[],[f1891,f1097,f925,f1192,f1188]) ).

fof(f2202,plain,
    ( ~ member(not_subclass_element(x,null_class),universal_class)
    | member(not_subclass_element(x,null_class),null_class)
    | spl0_59 ),
    inference(resolution,[],[f1194,f25]) ).

fof(f2206,plain,
    ( ~ member(not_subclass_element(x,null_class),universal_class)
    | ~ spl0_46
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f2202,f1081]) ).

fof(f2207,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(x,null_class),X0)
        | ~ subclass(X0,universal_class) )
    | ~ spl0_46
    | spl0_59 ),
    inference(resolution,[],[f2206,f1]) ).

fof(f2210,plain,
    ( ! [X0] : ~ member(not_subclass_element(x,null_class),X0)
    | ~ spl0_46
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f2207,f4]) ).

fof(f2216,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_58
    | spl0_59 ),
    inference(resolution,[],[f2210,f1189]) ).

fof(f2232,plain,
    ( ~ spl0_46
    | ~ spl0_58
    | spl0_59 ),
    inference(avatar_contradiction_clause,[],[f2216]) ).

fof(f2312,plain,
    ( y = x
    | ~ subclass(y,x)
    | ~ spl0_82 ),
    inference(resolution,[],[f1695,f146]) ).

fof(f2330,plain,
    ( ~ subclass(y,x)
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f2312,f126]) ).

fof(f2331,plain,
    ( $false
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f2330,f124]) ).

fof(f2332,plain,
    ~ spl0_82,
    inference(avatar_contradiction_clause,[],[f2331]) ).

cnf(s37,plain,
    ( ~ spl0_46
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s40,plain,
    ( ~ spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s59,plain,
    ( ~ spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s60,plain,
    ( spl0_46
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s83,plain,
    ( ~ spl0_46
    | spl0_54
    | ~ spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s93,plain,
    ( ~ spl0_46
    | ~ spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s105,plain,
    ~ spl0_82,
    inference(sat_conversion,[],[f2332]) ).

cnf(s106,plain,
    ( spl0_46
    | spl0_81 ),
    inference(rat,[],[s60,s105]) ).

cnf(s107,plain,
    ~ spl0_81,
    inference(rat,[],[s59,s105]) ).

cnf(s108,plain,
    spl0_46,
    inference(rat,[],[s106,s107]) ).

cnf(s113,plain,
    spl0_58,
    inference(rat,[],[s40,s108]) ).

cnf(s114,plain,
    spl0_59,
    inference(rat,[],[s93,s108,s113]) ).

cnf(s115,plain,
    spl0_54,
    inference(rat,[],[s83,s114,s108,s113]) ).

cnf(s118,plain,
    $false,
    inference(rat,[],[s37,s115,s108]) ).

fof(f2333,plain,
    $false,
    inference(avatar_sat_refutation,[],[s118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n017.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 28 00:58:36 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.34  % (3125365)Input is clausal, will run a generic CNF schedule.
% 3.10/1.34  % (3125372)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3883380824:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.10/1.34  % (3125371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3176003393:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.10/1.34  % (3125373)lrs+10_1_sil=8000:sp=occurrence:random_seed=1691534467:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.10/1.34  % (3125374)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=543893772:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.10/1.34  % (3125376)dis-21_1_sil=8000:lcm=predicate:random_seed=3336639161: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)
% 3.10/1.34  % (3125370)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=4100101002:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.10/1.34  % (3125375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1839099736:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.10/1.34  % (3125373)Refutation not found, incomplete strategy
% 3.10/1.34  % (3125373)------------------------------
% 3.10/1.34  % (3125373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.34  % (3125373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.34  % (3125373)CaDiCaL version: 2.1.3
% 3.10/1.34  % (3125373)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.34  % (3125373)Time elapsed: 0.003 s
% 3.10/1.34  % (3125373)Peak memory usage: 88 MB
% 3.10/1.34  % (3125373)Instructions burned: 2 (million)
% 3.10/1.34  % (3125374)Instruction limit reached! 
% 3.10/1.34  % (3125374)------------------------------
% 3.10/1.34  % (3125374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.34  % (3125374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.34  % (3125374)CaDiCaL version: 2.1.3
% 3.10/1.34  % (3125374)Termination reason: Instruction limit
% 3.10/1.34  % (3125374)Termination phase: Saturation
% 3.10/1.34  % (3125374)Time elapsed: 0.068 s
% 3.10/1.34  % (3125374)Peak memory usage: 89 MB
% 3.10/1.34  % (3125374)Instructions burned: 116 (million)
% 3.10/1.34  % (3125375)First to succeed.
% 3.10/1.34  % (3125376)Instruction limit reached! 
% 3.10/1.34  % (3125376)------------------------------
% 3.10/1.34  % (3125376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.34  % (3125376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.34  % (3125376)CaDiCaL version: 2.1.3
% 3.10/1.34  % (3125376)Termination reason: Instruction limit
% 3.10/1.34  % (3125376)Termination phase: Saturation
% 3.10/1.34  % (3125376)Time elapsed: 0.069 s
% 3.10/1.34  % (3125376)Peak memory usage: 89 MB
% 3.10/1.34  % (3125376)Instructions burned: 118 (million)
% 3.10/1.34  % (3125375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3125365"
% 3.10/1.34  % (3125384)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=3755133864:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.10/1.34  % (3125385)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2503152665:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.10/1.34  % (3125385)Also succeeded, but the first one will report.
% 3.10/1.34  % (3125373)------------------------------
% 3.10/1.34  % (3125373)------------------------------
% 3.10/1.34  % (3125384)Instruction limit reached! 
% 3.10/1.34  % (3125384)------------------------------
% 3.10/1.34  % (3125384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.34  % (3125384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.34  % (3125384)CaDiCaL version: 2.1.3
% 3.10/1.34  % (3125384)Termination reason: Instruction limit
% 3.10/1.34  % (3125384)Termination phase: Saturation
% 3.10/1.34  % (3125384)Time elapsed: 0.091 s
% 3.10/1.34  % (3125384)Peak memory usage: 90 MB
% 3.10/1.34  % (3125384)Instructions burned: 143 (million)
% 3.10/1.34  % (3125375)Refutation found. Thanks to Tanya!
% 3.10/1.34  % SZS status Unsatisfiable for theBenchmark
% 4.01/1.52  % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.53  % (3125375)------------------------------
% 4.01/1.53  % (3125375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.53  % (3125375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.53  % (3125375)CaDiCaL version: 2.1.3
% 4.01/1.53  % (3125375)Termination reason: Refutation
% 4.01/1.53  % (3125375)Time elapsed: 0.069 s
% 4.01/1.53  % (3125375)Peak memory usage: 91 MB
% 4.01/1.53  % (3125375)Instructions burned: 86 (million)
% 4.01/1.53  % (3125375)------------------------------
% 4.01/1.53  % (3125375)------------------------------
% 4.01/1.53  % (3125365)Success in time 0.482 s
% 4.01/1.53  % Vampire exiting
%------------------------------------------------------------------------------