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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET634+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 12:44:16 PM UTC 2026

% Result   : Theorem 2.62s 0.88s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   90 (  23 unt;   6 def)
%            Number of atoms       :  209 (  33 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  206 (  87   ~; 100   |;  12   &)
%                                         (   5 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   81 (   0 sgn  76   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_equal) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X0)
        & member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( member(X2,X0)
        & ~ member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).

fof(f5,axiom,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).

fof(f9,conjecture,
    ! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_and_intersection) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( member(X2,X0)
        <~> member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f13,plain,
    ? [X0,X1,X2] : intersection(X0,difference(X1,X2)) != difference(intersection(X0,X1),X2),
    inference(ennf_transformation,[],[f10]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ member(X2,X1)
            | ~ member(X2,X0) )
          & ( member(X2,X1)
            | member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ member(sK0(X0,X1),X1)
          | ~ member(sK0(X0,X1),X0) )
        & ( member(sK0(X0,X1),X1)
          | member(sK0(X0,X1),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X0)
        | ~ member(X2,X1) )
      & ( ( member(X2,X0)
          & member(X2,X1) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X0)
        | ~ member(X2,X1) )
      & ( ( member(X2,X0)
          & member(X2,X1) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(flattening,[],[f18]) ).

fof(f28,plain,
    intersection(sK3,difference(sK4,sK5)) != difference(intersection(sK3,sK4),sK5),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f13]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X1)
      | member(sK0(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | X0 = X1
      | ~ member(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X0)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f40,plain,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    intersection(sK3,difference(sK4,sK5)) != difference(intersection(sK3,sK4),sK5),
    inference(cnf_transformation,[],[f28]) ).

fof(f54,definition,
    sF6 = difference(sK4,sK5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f55,plain,
    difference(sK4,sK5) = sF6,
    inference(reorient_equations,[],[f54]) ).

fof(f56,definition,
    sF7 = intersection(sK3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f57,plain,
    intersection(sK3,sF6) = sF7,
    inference(reorient_equations,[],[f56]) ).

fof(f58,definition,
    sF8 = intersection(sK3,sK4),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f59,plain,
    intersection(sK3,sK4) = sF8,
    inference(reorient_equations,[],[f58]) ).

fof(f60,definition,
    sF9 = difference(sF8,sK5),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f61,plain,
    difference(sF8,sK5) = sF9,
    inference(reorient_equations,[],[f60]) ).

fof(f62,plain,
    sF7 != sF9,
    inference(definition_folding,[],[f49,f61,f59,f57,f55]) ).

fof(f63,plain,
    sF7 = intersection(sF6,sK3),
    inference(forward_demodulation,[],[f57,f40]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | member(X0,sK4) ),
    inference(superposition,[],[f31,f59]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | member(X0,sK3) ),
    inference(superposition,[],[f31,f63]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | member(X0,sK3) ),
    inference(superposition,[],[f32,f59]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | member(X0,sF6) ),
    inference(superposition,[],[f32,f63]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | ~ member(X0,sK5) ),
    inference(superposition,[],[f34,f55]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | ~ member(X0,sK5) ),
    inference(superposition,[],[f34,f61]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK4) ),
    inference(superposition,[],[f35,f55]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | member(X0,sF8) ),
    inference(superposition,[],[f35,f61]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | ~ member(X0,sK3)
      | member(X0,sF8) ),
    inference(superposition,[],[f33,f59]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sF7)
      | ~ member(X0,sK3) ),
    inference(superposition,[],[f33,f63]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | member(X0,sF6)
      | member(X0,sK5) ),
    inference(superposition,[],[f36,f55]) ).

fof(f104,plain,
    ! [X0] :
      ( member(sK0(X0,sF9),sF8)
      | member(sK0(X0,sF9),X0)
      | sF9 = X0 ),
    inference(resolution,[],[f29,f75]) ).

fof(f114,plain,
    ! [X0] :
      ( member(sK0(sF7,X0),sF6)
      | member(sK0(sF7,X0),X0)
      | sF7 = X0 ),
    inference(resolution,[],[f29,f69]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK0(X0,difference(X1,X2)),X1)
      | ~ member(sK0(X0,difference(X1,X2)),X0)
      | difference(X1,X2) = X0
      | member(sK0(X0,difference(X1,X2)),X2) ),
    inference(resolution,[],[f30,f36]) ).

fof(f1338,plain,
    ! [X0] :
      ( ~ member(sK0(X0,sF9),sF8)
      | ~ member(sK0(X0,sF9),X0)
      | sF9 = X0
      | member(sK0(X0,sF9),sK5) ),
    inference(superposition,[],[f125,f61]) ).

fof(f2837,plain,
    ( member(sK0(sF7,sF9),sF8)
    | sF7 = sF9
    | member(sK0(sF7,sF9),sF6) ),
    inference(resolution,[],[f104,f69]) ).

fof(f2838,plain,
    ( member(sK0(sF7,sF9),sF8)
    | sF7 = sF9
    | member(sK0(sF7,sF9),sK3) ),
    inference(resolution,[],[f104,f65]) ).

fof(f2845,plain,
    ( sF7 = sF9
    | member(sK0(sF7,sF9),sK3) ),
    inference(forward_subsumption_resolution,[],[f2838,f68]) ).

fof(f2846,plain,
    ( member(sK0(sF7,sF9),sF8)
    | member(sK0(sF7,sF9),sF6) ),
    inference(forward_subsumption_resolution,[],[f2837,f62]) ).

fof(f2851,plain,
    member(sK0(sF7,sF9),sK3),
    inference(forward_subsumption_resolution,[],[f2845,f62]) ).

fof(f2853,definition,
    ( spl10_69
  <=> member(sK0(sF7,sF9),sF6) ),
    introduced(definition,[new_symbols(definition,[spl10_69])],[avatar_definition]) ).

fof(f2854,plain,
    ( ~ member(sK0(sF7,sF9),sF6)
    | spl10_69 ),
    inference(avatar_component_clause,[],[f2853]) ).

fof(f2855,plain,
    ( member(sK0(sF7,sF9),sF6)
    | ~ spl10_69 ),
    inference(avatar_component_clause,[],[f2853]) ).

fof(f2857,definition,
    ( spl10_70
  <=> member(sK0(sF7,sF9),sF8) ),
    introduced(definition,[new_symbols(definition,[spl10_70])],[avatar_definition]) ).

fof(f2858,plain,
    ( ~ member(sK0(sF7,sF9),sF8)
    | spl10_70 ),
    inference(avatar_component_clause,[],[f2857]) ).

fof(f2859,plain,
    ( member(sK0(sF7,sF9),sF8)
    | ~ spl10_70 ),
    inference(avatar_component_clause,[],[f2857]) ).

fof(f2860,plain,
    ( spl10_69
    | spl10_70 ),
    inference(avatar_split_clause,[],[f2846,f2857,f2853]) ).

fof(f2939,plain,
    ( member(sK0(sF7,sF9),sF6)
    | sF7 = sF9
    | ~ member(sK0(sF7,sF9),sK5) ),
    inference(resolution,[],[f114,f73]) ).

fof(f3045,plain,
    ( member(sK0(sF7,sF9),sF7)
    | ~ member(sK0(sF7,sF9),sK3)
    | ~ spl10_69 ),
    inference(resolution,[],[f2855,f84]) ).

fof(f3046,plain,
    ( member(sK0(sF7,sF9),sK4)
    | ~ spl10_69 ),
    inference(resolution,[],[f2855,f74]) ).

fof(f3052,plain,
    ( member(sK0(sF7,sF9),sF7)
    | ~ spl10_69 ),
    inference(forward_subsumption_resolution,[],[f3045,f2851]) ).

fof(f3834,plain,
    ( sF7 = sF9
    | ~ member(sK0(sF7,sF9),sK5) ),
    inference(forward_subsumption_resolution,[],[f2939,f72]) ).

fof(f3838,plain,
    ~ member(sK0(sF7,sF9),sK5),
    inference(forward_subsumption_resolution,[],[f3834,f62]) ).

fof(f3976,plain,
    ( member(sK0(sF7,sF9),sK4)
    | ~ spl10_70 ),
    inference(resolution,[],[f2859,f64]) ).

fof(f6115,plain,
    ( ~ member(sK0(sF7,sF9),sF7)
    | sF7 = sF9
    | member(sK0(sF7,sF9),sK5)
    | ~ spl10_70 ),
    inference(resolution,[],[f1338,f2859]) ).

fof(f6121,plain,
    ( ~ member(sK0(sF7,sF9),sF7)
    | member(sK0(sF7,sF9),sK5)
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f6115,f62]) ).

fof(f6123,plain,
    ( ~ member(sK0(sF7,sF9),sF7)
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f6121,f3838]) ).

fof(f14691,plain,
    ( ~ member(sK0(sF7,sF9),sK3)
    | member(sK0(sF7,sF9),sF8)
    | ~ spl10_69 ),
    inference(resolution,[],[f3046,f83]) ).

fof(f14695,plain,
    ( member(sK0(sF7,sF9),sF8)
    | ~ spl10_69 ),
    inference(forward_subsumption_resolution,[],[f14691,f2851]) ).

fof(f14696,plain,
    ( $false
    | ~ spl10_69
    | spl10_70 ),
    inference(forward_subsumption_resolution,[],[f14695,f2858]) ).

fof(f14697,plain,
    ( ~ spl10_69
    | spl10_70 ),
    inference(avatar_contradiction_clause,[],[f14696]) ).

fof(f14698,plain,
    ( $false
    | ~ spl10_69
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f6123,f3052]) ).

fof(f14699,plain,
    ( ~ spl10_69
    | ~ spl10_70 ),
    inference(avatar_contradiction_clause,[],[f14698]) ).

fof(f14796,plain,
    ( member(sK0(sF7,sF9),sF6)
    | member(sK0(sF7,sF9),sK5)
    | ~ spl10_70 ),
    inference(resolution,[],[f3976,f90]) ).

fof(f14801,plain,
    ( member(sK0(sF7,sF9),sK5)
    | spl10_69
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f14796,f2854]) ).

fof(f14802,plain,
    ( $false
    | spl10_69
    | ~ spl10_70 ),
    inference(forward_subsumption_resolution,[],[f14801,f3838]) ).

fof(f14803,plain,
    ( spl10_69
    | ~ spl10_70 ),
    inference(avatar_contradiction_clause,[],[f14802]) ).

cnf(s55,plain,
    ( spl10_69
    | spl10_70 ),
    inference(sat_conversion,[],[f2860]) ).

cnf(s379,plain,
    ( ~ spl10_69
    | spl10_70 ),
    inference(sat_conversion,[],[f14697]) ).

cnf(s380,plain,
    ( ~ spl10_69
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f14699]) ).

cnf(s381,plain,
    ( spl10_69
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f14803]) ).

cnf(s382,plain,
    spl10_69,
    inference(rat,[],[s55,s381]) ).

cnf(s383,plain,
    ~ spl10_70,
    inference(rat,[],[s380,s382]) ).

cnf(s384,plain,
    $false,
    inference(rat,[],[s379,s383,s382]) ).

fof(f14804,plain,
    $false,
    inference(avatar_sat_refutation,[],[s384]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SET634+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.30  % Computer : n012.cluster.edu
% 0.05/0.30  % Model    : x86_64 x86_64
% 0.05/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.30  % Memory   : 8046.5625MB
% 0.05/0.30  % OS       : Linux 6.8.0-71-generic
% 0.05/0.30  % CPULimit : 300
% 0.05/0.30  % WCLimit  : 300
% 0.05/0.30  % DateTime : Mon Sep 28 02:22:49 UTC 2026
% 0.05/0.30  % CPUTime  : 
% 0.05/0.30  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.32  Running first-order model finding
% 0.05/0.32  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
% 2.62/0.88  % (2951976)Will run a generic schedule for satisfiability detection.
% 2.62/0.88  % (2951982)% WARNING: option uhcvi not known.
% 2.62/0.88  % (2951983)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1339989199:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.62/0.88  % (2951981)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3873345686_2999 on theBenchmark for (2999ds/0Mi)
% 2.62/0.88  % (2951986)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2476701451:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/0.88  % (2951985)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4102037382:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.62/0.88  % (2951982)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3322509937:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.62/0.88  % (2951984)dis+10_1_sil=32000:sp=arity:random_seed=203664642:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.62/0.88  % (2951987)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3003344923:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.62/0.88  % TRYING [1]
% 2.62/0.88  % TRYING [2]
% 2.62/0.88  % TRYING [3]
% 2.62/0.88  % TRYING [4]
% 2.62/0.88  % TRYING [5]
% 2.62/0.88  % (2951984)Instruction limit reached! 
% 2.62/0.88  % (2951984)------------------------------
% 2.62/0.88  % (2951984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951984)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951984)Termination reason: Instruction limit
% 2.62/0.88  % (2951984)Termination phase: Saturation
% 2.62/0.88  % (2951984)Time elapsed: 0.033 s
% 2.62/0.88  % (2951984)Peak memory usage: 12 MB
% 2.62/0.88  % (2951984)Instructions burned: 103 (million)
% 2.62/0.88  % (2951985)Instruction limit reached! 
% 2.62/0.88  % (2951985)------------------------------
% 2.62/0.88  % (2951985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951985)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951985)Termination reason: Instruction limit
% 2.62/0.88  % (2951985)Termination phase: Saturation
% 2.62/0.88  % (2951985)Time elapsed: 0.036 s
% 2.62/0.88  % (2951985)Peak memory usage: 12 MB
% 2.62/0.88  % (2951985)Instructions burned: 118 (million)
% 2.62/0.88  % (2951986)Instruction limit reached! 
% 2.62/0.88  % (2951986)------------------------------
% 2.62/0.88  % (2951986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951986)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951986)Termination reason: Instruction limit
% 2.62/0.88  % (2951986)Termination phase: Saturation
% 2.62/0.88  % (2951986)Time elapsed: 0.041 s
% 2.62/0.88  % (2951986)Peak memory usage: 12 MB
% 2.62/0.88  % (2951986)Instructions burned: 133 (million)
% 2.62/0.88  % (2951995)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=964357740:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.62/0.88  % (2951996)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=326765493:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.62/0.88  % TRYING [1]
% 2.62/0.88  % TRYING [2]
% 2.62/0.88  % TRYING [3]
% 2.62/0.88  % TRYING [4]
% 2.62/0.88  % (2951987)Instruction limit reached! 
% 2.62/0.88  % (2951987)------------------------------
% 2.62/0.88  % (2951987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951987)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951987)Termination reason: Instruction limit
% 2.62/0.88  % (2951987)Termination phase: Saturation
% 2.62/0.88  % (2951987)Time elapsed: 0.051 s
% 2.62/0.88  % (2951987)Peak memory usage: 12 MB
% 2.62/0.88  % (2951987)Instructions burned: 160 (million)
% 2.62/0.88  % (2951997)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=445036468:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.62/0.88  % (2952001)ott-21_1_sil=16000:fs=off:random_seed=2050443861:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.62/0.88  % TRYING [5]
% 2.62/0.88  % (2951996)Instruction limit reached! 
% 2.62/0.88  % (2951996)------------------------------
% 2.62/0.88  % (2951996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951996)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951996)Termination reason: Instruction limit
% 2.62/0.88  % (2951996)Termination phase: Saturation
% 2.62/0.88  % (2951996)Time elapsed: 0.046 s
% 2.62/0.88  % (2951996)Peak memory usage: 13 MB
% 2.62/0.88  % (2951996)Instructions burned: 133 (million)
% 2.62/0.88  % (2952003)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=468814178:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.62/0.88  % (2952001)Instruction limit reached! 
% 2.62/0.88  % (2952001)------------------------------
% 2.62/0.88  % (2952001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2952001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2952001)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2952001)Termination reason: Instruction limit
% 2.62/0.88  % (2952001)Termination phase: Saturation
% 2.62/0.88  % (2952001)Time elapsed: 0.046 s
% 2.62/0.88  % (2952001)Peak memory usage: 12 MB
% 2.62/0.88  % (2952001)Instructions burned: 183 (million)
% 2.62/0.88  % (2952005)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2250106177:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.62/0.88  % TRYING [1]
% 2.62/0.88  % TRYING [2]
% 2.62/0.88  % TRYING [3]
% 2.62/0.88  % TRYING [4]
% 2.62/0.88  % TRYING [5]
% 2.62/0.88  % TRYING [6]
% 2.62/0.88  % TRYING [6]
% 2.62/0.88  % (2951997)Instruction limit reached! 
% 2.62/0.88  % (2951997)------------------------------
% 2.62/0.88  % (2951997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951997)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951997)Termination reason: Instruction limit
% 2.62/0.88  % (2951997)Termination phase: Saturation
% 2.62/0.88  % (2951997)Time elapsed: 0.189 s
% 2.62/0.88  % (2951997)Peak memory usage: 17 MB
% 2.62/0.88  % (2951997)Instructions burned: 684 (million)
% 2.62/0.88  % (2952003)Instruction limit reached! 
% 2.62/0.88  % (2952003)------------------------------
% 2.62/0.88  % (2952003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2952003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2952003)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2952003)Termination reason: Instruction limit
% 2.62/0.88  % (2952003)Termination phase: Saturation
% 2.62/0.88  % (2952003)Time elapsed: 0.147 s
% 2.62/0.88  % (2952003)Peak memory usage: 14 MB
% 2.62/0.88  % (2952003)Instructions burned: 479 (million)
% 2.62/0.88  % (2952007)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3159567267:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.62/0.88  % (2952008)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2486861130:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.62/0.88  % TRYING [14]
% 2.62/0.88  % (2951995)Instruction limit reached! 
% 2.62/0.88  % (2951995)------------------------------
% 2.62/0.88  % (2951995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2951995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2951995)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2951995)Termination reason: Instruction limit
% 2.62/0.88  % (2951995)Termination phase: Finite model building SAT solving
% 2.62/0.88  % (2951995)Time elapsed: 0.235 s
% 2.62/0.88  % (2951995)Peak memory usage: 13 MB
% 2.62/0.88  % (2951995)Instructions burned: 717 (million)
% 2.62/0.88  % (2952011)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2129363221:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 2.62/0.88  % TRYING [7]
% 2.62/0.88  % (2952005)Instruction limit reached! 
% 2.62/0.88  % (2952005)------------------------------
% 2.62/0.88  % (2952005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2952005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2952005)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2952005)Termination reason: Instruction limit
% 2.62/0.88  % (2952005)Termination phase: Finite model building SAT solving
% 2.62/0.88  % (2952005)Time elapsed: 0.253 s
% 2.62/0.88  % (2952005)Peak memory usage: 13 MB
% 2.62/0.88  % (2952005)Instructions burned: 870 (million)
% 2.62/0.88  % (2952013)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2579062745:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 2.62/0.88  % (2952008)Instruction limit reached! 
% 2.62/0.88  % (2952008)------------------------------
% 2.62/0.88  % (2952008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2952008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2952008)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2952008)Termination reason: Instruction limit
% 2.62/0.88  % (2952008)Termination phase: Finite model building SAT solving
% 2.62/0.88  % (2952008)Time elapsed: 0.194 s
% 2.62/0.88  % (2952008)Peak memory usage: 44 MB
% 2.62/0.88  % (2952008)Instructions burned: 889 (million)
% 2.62/0.88  % (2952015)fmb+10_1_sil=64000:random_seed=2146971738:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 2.62/0.88  % TRYING [1]
% 2.62/0.88  % TRYING [2]
% 2.62/0.88  % TRYING [3]
% 2.62/0.88  % TRYING [4]
% 2.62/0.88  % TRYING [5]
% 2.62/0.88  % (2952011)Instruction limit reached! 
% 2.62/0.88  % (2952011)------------------------------
% 2.62/0.88  % (2952011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.88  % (2952011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.88  % (2952011)CaDiCaL version: 2.1.3
% 2.62/0.88  % (2952011)Termination reason: Instruction limit
% 2.62/0.88  % (2952011)Termination phase: Saturation
% 2.62/0.88  % (2952011)Time elapsed: 0.205 s
% 2.62/0.88  % (2952011)Peak memory usage: 16 MB
% 2.62/0.88  % (2952011)Instructions burned: 692 (million)
% 2.62/0.88  % (2952017)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2964220821:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 2.62/0.88  % TRYING [20]
% 2.62/0.88  % (2952007) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2951976-2952007"...
% 2.62/0.88  % (2952007)...printing done.
% 2.62/0.88  % (2952007)Refutation found. Thanks to Tanya!
% 2.62/0.88  % SZS status Theorem for theBenchmark
% 2.62/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 2.62/0.89  % (2952007)------------------------------
% 2.62/0.89  % (2952007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.89  % (2952007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.89  % (2952007)CaDiCaL version: 2.1.3
% 2.62/0.89  % (2952007)Termination reason: Refutation
% 2.62/0.89  % (2952007)Time elapsed: 0.268 s
% 2.62/0.89  % (2952007)Peak memory usage: 18 MB
% 2.62/0.89  % (2952007)Instructions burned: 851 (million)
% 2.62/0.89  % (2951976)Success in time 0.556 s
% 2.62/0.89  % Vampire exiting
%------------------------------------------------------------------------------