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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT080_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 09:47:15 AM UTC 2026

% Result   : Theorem 3.91s 1.32s
% Output   : Refutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (   9 unt;   0 typ;   4 def)
%            Number of atoms       :   78 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   65 (  27   ~;  27   |;   2   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :  130 (  22 atm;   0 fun;  89 num;  19 var)
%            Number of types       :    3 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   18 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    list: $tType ).

tff(func_def_0,type,
    nil: list ).

tff(func_def_1,type,
    cons: ( $int * list ) > list ).

tff(func_def_2,type,
    head: list > $int ).

tff(func_def_3,type,
    tail: list > list ).

tff(func_def_5,type,
    length: list > $int ).

tff(func_def_8,type,
    count: ( $int * list ) > $int ).

tff(func_def_9,type,
    append: ( list * list ) > list ).

tff(func_def_13,type,
    sK0: ( $int * list ) > $int ).

tff(func_def_14,type,
    sK1: ( $int * list ) > list ).

tff(func_def_15,type,
    sK2: ( list * $int ) > $int ).

tff(func_def_16,type,
    sK3: ( list * $int ) > list ).

tff(func_def_17,type,
    sK4: ( list * $int ) > list ).

tff(func_def_18,type,
    sK5: ( list * $int ) > $int ).

tff(pred_def_1,type,
    in: ( $int * list ) > $o ).

tff(pred_def_2,type,
    inRange: ( $int * list ) > $o ).

tff(f9,axiom,
    ! [X0: $int] : ( count(X0,nil) = 0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a) ).

tff(f10,axiom,
    ! [X0: $int,X3: $int,X2: list,X1: $int] :
      ( ( X0 != X1 )
     => ( count(X0,cons(X1,X2)) = count(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_3) ).

tff(f14,axiom,
    ! [X1: list,X0: $int] :
      ( $greater(count(X0,X1),0)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_8) ).

tff(f15,conjecture,
    ~ in(4,cons(1,cons(2,cons(3,nil)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

tff(f16,negated_conjecture,
    ~ ~ in(4,cons(1,cons(2,cons(3,nil)))),
    inference(negated_conjecture,[status(cth)],[f15]) ).

tff(f18,plain,
    ! [X1: list,X0: $int] :
      ( $less(0,count(X0,X1))
    <=> in(X0,X1) ),
    inference(theory_normalization,[],[f14]) ).

tff(f26,plain,
    ! [X0: $int,X2: list,X3: $int] :
      ( ( X0 != X3 )
     => ( count(X0,X2) = count(X0,cons(X3,X2)) ) ),
    inference(rectify,[],[f10]) ).

tff(f28,plain,
    in(4,cons(1,cons(2,cons(3,nil)))),
    inference(flattening,[],[f16]) ).

tff(f29,plain,
    ! [X1: $int,X0: list] :
      ( in(X1,X0)
    <=> $less(0,count(X1,X0)) ),
    inference(rectify,[],[f18]) ).

tff(f30,plain,
    ! [X3: $int,X2: list,X0: $int] :
      ( ( count(X0,X2) = count(X0,cons(X3,X2)) )
      | ( X0 = X3 ) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f33,plain,
    ! [X0: $int,X1: list,X2: $int] :
      ( ( count(X2,X1) = count(X2,cons(X0,X1)) )
      | ( X0 = X2 ) ),
    inference(rectify,[],[f30]) ).

tff(f34,plain,
    ! [X1: $int,X0: list] :
      ( ( in(X1,X0)
        | ~ $less(0,count(X1,X0)) )
      & ( $less(0,count(X1,X0))
        | ~ in(X1,X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

tff(f35,plain,
    ! [X0: $int,X1: list] :
      ( ( in(X0,X1)
        | ~ $less(0,count(X0,X1)) )
      & ( $less(0,count(X0,X1))
        | ~ in(X0,X1) ) ),
    inference(rectify,[],[f34]) ).

tff(f50,plain,
    ! [X2: $int,X0: $int,X1: list] :
      ( ( count(X2,X1) = count(X2,cons(X0,X1)) )
      | ( X0 = X2 ) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f51,plain,
    ! [X0: $int,X1: list] :
      ( ~ in(X0,X1)
      | $less(0,count(X0,X1)) ),
    inference(cnf_transformation,[],[f35]) ).

tff(f60,plain,
    ! [X0: $int] : ( 0 = count(X0,nil) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f70,plain,
    in(4,cons(1,cons(2,cons(3,nil)))),
    inference(cnf_transformation,[],[f28]) ).

tff(f83,definition,
    ( spl6_2
  <=> in(4,cons(1,cons(2,cons(3,nil)))) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

tff(f85,plain,
    ( in(4,cons(1,cons(2,cons(3,nil))))
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f83]) ).

tff(f86,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f70,f83]) ).

tff(f87,plain,
    ( $less(0,count(4,cons(1,cons(2,cons(3,nil)))))
    | ~ spl6_2 ),
    inference(resolution,[],[f51,f85]) ).

tff(f91,definition,
    ( spl6_3
  <=> $less(0,count(4,cons(1,cons(2,cons(3,nil))))) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

tff(f93,plain,
    ( $less(0,count(4,cons(1,cons(2,cons(3,nil)))))
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f91]) ).

tff(f94,plain,
    ( spl6_3
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f87,f83,f91]) ).

tff(f132,plain,
    ( ( 1 = 4 )
    | $less(0,count(4,cons(2,cons(3,nil))))
    | ~ spl6_3 ),
    inference(superposition,[],[f93,f50]) ).

tff(f136,plain,
    ( $less(0,count(4,cons(2,cons(3,nil))))
    | ~ spl6_3 ),
    inference(evaluation,[],[f132]) ).

tff(f138,definition,
    ( spl6_4
  <=> $less(0,count(4,cons(2,cons(3,nil)))) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

tff(f140,plain,
    ( $less(0,count(4,cons(2,cons(3,nil))))
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f138]) ).

tff(f141,plain,
    ( spl6_4
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f136,f91,f138]) ).

tff(f143,plain,
    ( $less(0,count(4,cons(3,nil)))
    | ( 4 = 2 )
    | ~ spl6_4 ),
    inference(superposition,[],[f140,f50]) ).

tff(f144,plain,
    ( $less(0,count(4,cons(3,nil)))
    | ~ spl6_4 ),
    inference(evaluation,[],[f143]) ).

tff(f146,definition,
    ( spl6_5
  <=> $less(0,count(4,cons(3,nil))) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

tff(f148,plain,
    ( $less(0,count(4,cons(3,nil)))
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f146]) ).

tff(f149,plain,
    ( spl6_5
    | ~ spl6_4 ),
    inference(avatar_split_clause,[],[f144,f138,f146]) ).

tff(f158,plain,
    ( $less(0,count(4,nil))
    | ( 4 = 3 )
    | ~ spl6_5 ),
    inference(superposition,[],[f148,f50]) ).

tff(f159,plain,
    ( $less(0,count(4,nil))
    | ~ spl6_5 ),
    inference(evaluation,[],[f158]) ).

tff(f165,plain,
    ( $less(0,0)
    | ~ spl6_5 ),
    inference(forward_demodulation,[],[f159,f60]) ).

tff(f166,plain,
    ( $false
    | ~ spl6_5 ),
    inference(evaluation,[],[f165]) ).

tff(f167,plain,
    ~ spl6_5,
    inference(avatar_contradiction_clause,[],[f166]) ).

tff(f168,plain,
    $false,
    inference(avatar_smt_refutation,[],[f167,f149,f141,f94,f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT080_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n001.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 00:13:50 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 3.02/1.12  % (873098)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.02/1.12  % (873156)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4075912728:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.02/1.12  % (873156)Instruction limit reached! 
% 3.02/1.12  % (873156)------------------------------
% 3.02/1.12  % (873156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12  % (873156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12  % (873156)CaDiCaL version: 2.1.3
% 3.02/1.12  % (873156)Termination reason: Instruction limit
% 3.02/1.12  % (873156)Termination phase: Saturation
% 3.02/1.12  % (873156)Time elapsed: 0.029 s
% 3.02/1.12  % (873156)Peak memory usage: 115 MB
% 3.02/1.12  % (873156)Instructions burned: 35 (million)
% 3.02/1.12  % (873154)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=806490168:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.02/1.12  % (873152)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=812322385:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.02/1.12  % (873151)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=34847709:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.02/1.12  % (873150)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=144016039:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.02/1.12  % (873153)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1499579772:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.02/1.12  % (873155)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1680725067:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.02/1.12  % (873154)Instruction limit reached! 
% 3.02/1.12  % (873154)------------------------------
% 3.02/1.12  % (873154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12  % (873154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12  % (873154)CaDiCaL version: 2.1.3
% 3.02/1.12  % (873154)Termination reason: Instruction limit
% 3.02/1.12  % (873154)Termination phase: Saturation
% 3.02/1.12  % (873154)Time elapsed: 0.004 s
% 3.02/1.12  % (873154)Peak memory usage: 88 MB
% 3.02/1.12  % (873154)Instructions burned: 5 (million)
% 3.02/1.12  % (873153)Instruction limit reached! 
% 3.02/1.12  % (873153)------------------------------
% 3.02/1.12  % (873153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12  % (873153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12  % (873153)CaDiCaL version: 2.1.3
% 3.02/1.12  % (873153)Termination reason: Instruction limit
% 3.02/1.12  % (873153)Termination phase: Saturation
% 3.02/1.12  % (873153)Time elapsed: 0.005 s
% 3.02/1.12  % (873153)Peak memory usage: 88 MB
% 3.02/1.12  % (873153)Instructions burned: 7 (million)
% 3.02/1.12  % (873150)Instruction limit reached! 
% 3.02/1.12  % (873150)------------------------------
% 3.02/1.12  % (873150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12  % (873150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12  % (873150)CaDiCaL version: 2.1.3
% 3.02/1.12  % (873150)Termination reason: Instruction limit
% 3.02/1.12  % (873150)Termination phase: Saturation
% 3.02/1.12  % (873150)Time elapsed: 0.031 s
% 3.02/1.12  % (873150)Peak memory usage: 115 MB
% 3.02/1.12  % (873150)Instructions burned: 12 (million)
% 3.02/1.12  % (873155)First to succeed.
% 3.02/1.12  % (873155)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-873098"
% 3.02/1.12  % (873158)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2470461253:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.02/1.12  % (873158)Also succeeded, but the first one will report.
% 3.02/1.12  % (873165)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1321731172:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.02/1.12  % (873166)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1504673865:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.02/1.12  % (873166)Instruction limit reached! 
% 3.02/1.12  % (873166)------------------------------
% 3.91/1.32  % (873166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873166)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873166)Termination reason: Instruction limit
% 3.91/1.32  % (873166)Termination phase: Saturation
% 3.91/1.32  % (873166)Time elapsed: 0.012 s
% 3.91/1.32  % (873166)Peak memory usage: 90 MB
% 3.91/1.32  % (873166)Instructions burned: 17 (million)
% 3.91/1.32  % (873152)Instruction limit reached! 
% 3.91/1.32  % (873152)------------------------------
% 3.91/1.32  % (873152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873152)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873152)Termination reason: Instruction limit
% 3.91/1.32  % (873152)Termination phase: Saturation
% 3.91/1.32  % (873152)Time elapsed: 0.159 s
% 3.91/1.32  % (873152)Peak memory usage: 117 MB
% 3.91/1.32  % (873152)Instructions burned: 202 (million)
% 3.91/1.32  % (873165)Instruction limit reached! 
% 3.91/1.32  % (873165)------------------------------
% 3.91/1.32  % (873165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873165)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873165)Termination reason: Instruction limit
% 3.91/1.32  % (873165)Termination phase: Saturation
% 3.91/1.32  % (873165)Time elapsed: 0.023 s
% 3.91/1.32  % (873165)Peak memory usage: 88 MB
% 3.91/1.32  % (873165)Instructions burned: 30 (million)
% 3.91/1.32  % (873167)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2533469656:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.91/1.32  % (873151)Also succeeded, but the first one will report.
% 3.91/1.32  % (873167)Instruction limit reached! 
% 3.91/1.32  % (873167)------------------------------
% 3.91/1.32  % (873167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873167)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873167)Termination reason: Instruction limit
% 3.91/1.32  % (873167)Termination phase: Saturation
% 3.91/1.32  % (873167)Time elapsed: 0.019 s
% 3.91/1.32  % (873167)Peak memory usage: 89 MB
% 3.91/1.32  % (873167)Instructions burned: 25 (million)
% 3.91/1.32  % (873171)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3926153396:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.91/1.32  % (873171)Refutation not found, incomplete strategy
% 3.91/1.32  % (873171)------------------------------
% 3.91/1.32  % (873171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873171)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873171)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.32  % (873171)Time elapsed: 0.003 s
% 3.91/1.32  % (873171)Peak memory usage: 89 MB
% 3.91/1.32  % (873171)Instructions burned: 2 (million)
% 3.91/1.32  % (873173)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2359194604:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.91/1.32  % (873173)Instruction limit reached! 
% 3.91/1.32  % (873173)------------------------------
% 3.91/1.32  % (873173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873173)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873173)Termination reason: Instruction limit
% 3.91/1.32  % (873173)Termination phase: Saturation
% 3.91/1.32  % (873173)Time elapsed: 0.002 s
% 3.91/1.32  % (873173)Peak memory usage: 88 MB
% 3.91/1.32  % (873173)Instructions burned: 2 (million)
% 3.91/1.32  % (873172)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=4178836652:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.91/1.32  % (873155)Refutation found. Thanks to Tanya!
% 3.91/1.32  % SZS status Theorem for theBenchmark
% 3.91/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.32  % (873155)------------------------------
% 3.91/1.32  % (873155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32  % (873155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32  % (873155)CaDiCaL version: 2.1.3
% 3.91/1.32  % (873155)Termination reason: Refutation
% 3.91/1.32  % (873155)Time elapsed: 0.038 s
% 3.91/1.32  % (873155)Peak memory usage: 116 MB
% 3.91/1.32  % (873155)Instructions burned: 18 (million)
% 3.91/1.32  % (873155)------------------------------
% 3.91/1.32  % (873155)------------------------------
% 3.91/1.32  % (873098)Success in time 0.459 s
% 3.91/1.32  % Vampire exiting
%------------------------------------------------------------------------------