↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT021_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:47:07 AM UTC 2026

% Result   : Theorem 3.97s 1.35s
% Output   : Refutation 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (  13 unt;   0 typ;  11 def)
%            Number of atoms       :  143 (  49 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  143 (  48   ~;  48   |;  31   &)
%                                         (  13 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  111 (   9 atm;   9 fun;  63 num;  30 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  :   15 (  12 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (   6 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (  33   !;   9   ?;  42   :)

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

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_8,type,
    sK0: $int ).

tff(func_def_9,type,
    sK1: $int ).

tff(func_def_10,type,
    sK2: collection ).

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

tff(f1,axiom,
    ! [X0: $int] : ~ in(X0,empty),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f4,axiom,
    ! [X1: collection,X0: $int,X2: $int] :
      ( in(X0,add(X2,X1))
    <=> ( ( X0 = X2 )
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f6,conjecture,
    ! [X2: $int,X1: $int,X0: collection] :
      ( ( ( X0 = add(5,add(3,add(1,empty))) )
        & ( X1 != X2 )
        & in(X2,X0)
        & in(X1,X0) )
     => $less($sum(X1,X2),9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f7,negated_conjecture,
    ~ ! [X2: $int,X1: $int,X0: collection] :
        ( ( ( X0 = add(5,add(3,add(1,empty))) )
          & ( X1 != X2 )
          & in(X2,X0)
          & in(X1,X0) )
       => $less($sum(X1,X2),9) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

tff(f8,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( X1 = X2 ) )
    <=> in(X1,add(X2,X0)) ),
    inference(rectify,[],[f4]) ).

tff(f9,plain,
    ~ ! [X1: $int,X0: $int,X2: collection] :
        ( ( ( add(5,add(3,add(1,empty))) = X2 )
          & in(X0,X2)
          & in(X1,X2)
          & ( X0 != X1 ) )
       => $less($sum(X1,X0),9) ),
    inference(rectify,[],[f7]) ).

tff(f11,plain,
    ? [X1: $int,X0: $int,X2: collection] :
      ( ~ $less($sum(X1,X0),9)
      & ( add(5,add(3,add(1,empty))) = X2 )
      & in(X0,X2)
      & in(X1,X2)
      & ( X0 != X1 ) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f12,plain,
    ? [X1: $int,X0: $int,X2: collection] :
      ( ~ $less($sum(X1,X0),9)
      & ( X0 != X1 )
      & in(X1,X2)
      & in(X0,X2)
      & ( add(5,add(3,add(1,empty))) = X2 ) ),
    inference(flattening,[],[f11]) ).

tff(f16,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( X1 = X2 )
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ~ in(X1,X0)
          & ( X1 != X2 ) ) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f17,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( ( in(X1,X0)
        | ( X1 = X2 )
        | ~ in(X1,add(X2,X0)) )
      & ( in(X1,add(X2,X0))
        | ( ~ in(X1,X0)
          & ( X1 != X2 ) ) ) ),
    inference(flattening,[],[f16]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int,X2: collection] :
      ( ( in(X0,X2)
        | ( X0 = X1 )
        | ~ in(X0,add(X1,X2)) )
      & ( in(X0,add(X1,X2))
        | ( ~ in(X0,X2)
          & ( X0 != X1 ) ) ) ),
    inference(rectify,[],[f17]) ).

tff(f19,plain,
    ? [X0: $int,X1: $int,X2: collection] :
      ( ~ $less($sum(X0,X1),9)
      & ( X0 != X1 )
      & in(X0,X2)
      & in(X1,X2)
      & ( add(5,add(3,add(1,empty))) = X2 ) ),
    inference(rectify,[],[f12]) ).

tff(f20,plain,
    ( ~ $less($sum(sK0,sK1),9)
    & ( sK1 != sK0 )
    & in(sK0,sK2)
    & in(sK1,sK2)
    & ( add(5,add(3,add(1,empty))) = sK2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).

tff(f28,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ~ in(X0,add(X1,X2))
      | in(X0,X2)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f29,plain,
    add(5,add(3,add(1,empty))) = sK2,
    inference(cnf_transformation,[],[f20]) ).

tff(f30,plain,
    in(sK1,sK2),
    inference(cnf_transformation,[],[f20]) ).

tff(f31,plain,
    in(sK0,sK2),
    inference(cnf_transformation,[],[f20]) ).

tff(f32,plain,
    sK1 != sK0,
    inference(cnf_transformation,[],[f20]) ).

tff(f33,plain,
    ~ $less($sum(sK0,sK1),9),
    inference(cnf_transformation,[],[f20]) ).

tff(f35,plain,
    ! [X0: $int] : ~ in(X0,empty),
    inference(cnf_transformation,[],[f1]) ).

tff(f39,definition,
    ( spl3_1
  <=> $less($sum(sK0,sK1),9) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

tff(f42,plain,
    ~ spl3_1,
    inference(avatar_split_clause,[],[f33,f39]) ).

tff(f44,definition,
    ( spl3_2
  <=> in(sK0,sK2) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

tff(f46,plain,
    ( in(sK0,sK2)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f44]) ).

tff(f47,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f31,f44]) ).

tff(f49,definition,
    ( spl3_3
  <=> in(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

tff(f51,plain,
    ( in(sK1,sK2)
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f49]) ).

tff(f52,plain,
    spl3_3,
    inference(avatar_split_clause,[],[f30,f49]) ).

tff(f54,definition,
    ( spl3_4
  <=> ( add(5,add(3,add(1,empty))) = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).

tff(f56,plain,
    ( ( add(5,add(3,add(1,empty))) = sK2 )
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f54]) ).

tff(f57,plain,
    spl3_4,
    inference(avatar_split_clause,[],[f29,f54]) ).

tff(f59,definition,
    ( spl3_5
  <=> ( sK1 = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

tff(f62,plain,
    ~ spl3_5,
    inference(avatar_split_clause,[],[f32,f59]) ).

tff(f81,plain,
    ( ! [X0: $int] :
        ( in(X0,add(3,add(1,empty)))
        | ~ in(X0,sK2)
        | ( 5 = X0 ) )
    | ~ spl3_4 ),
    inference(superposition,[],[f28,f56]) ).

tff(f83,plain,
    ( ! [X0: $int] :
        ( in(X0,add(1,empty))
        | ( 5 = X0 )
        | ( 3 = X0 )
        | ~ in(X0,sK2) )
    | ~ spl3_4 ),
    inference(resolution,[],[f81,f28]) ).

tff(f92,plain,
    ( ! [X0: $int] :
        ( ~ in(X0,sK2)
        | ( 5 = X0 )
        | in(X0,empty)
        | ( 3 = X0 )
        | ( 1 = X0 ) )
    | ~ spl3_4 ),
    inference(resolution,[],[f83,f28]) ).

tff(f93,plain,
    ( ! [X0: $int] :
        ( ~ in(X0,sK2)
        | ( 5 = X0 )
        | ( 3 = X0 )
        | ( 1 = X0 ) )
    | ~ spl3_4 ),
    inference(forward_subsumption_resolution,[],[f92,f35]) ).

tff(f97,plain,
    ( ( 5 = sK0 )
    | ( 3 = sK0 )
    | ( 1 = sK0 )
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(resolution,[],[f93,f46]) ).

tff(f98,plain,
    ( ( 5 = sK1 )
    | ( 3 = sK1 )
    | ( 1 = sK1 )
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(resolution,[],[f93,f51]) ).

tff(f100,definition,
    ( spl3_9
  <=> ( 1 = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).

tff(f104,definition,
    ( spl3_10
  <=> ( 3 = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).

tff(f108,definition,
    ( spl3_11
  <=> ( 5 = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).

tff(f111,plain,
    ( spl3_9
    | spl3_10
    | spl3_11
    | ~ spl3_2
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f97,f54,f44,f108,f104,f100]) ).

tff(f113,definition,
    ( spl3_12
  <=> ( 5 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).

tff(f117,definition,
    ( spl3_13
  <=> ( 1 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).

tff(f121,definition,
    ( spl3_14
  <=> ( 3 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).

tff(f124,plain,
    ( spl3_12
    | spl3_13
    | spl3_14
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f98,f54,f49,f121,f117,f113]) ).

tff(f125,plain,
    $false,
    inference(avatar_smt_refutation,[],[f124,f111,f62,f57,f52,f47,f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT021_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17  % Computer : n019.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Tue Sep 29 00:05:48 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running first-order theorem proving
% 0.06/0.21  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
% 3.03/1.13  % (393592)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.03/1.13  % (393601)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=240126936:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.03/1.13  % (393601)Instruction limit reached! 
% 3.03/1.13  % (393601)------------------------------
% 3.03/1.13  % (393601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.13  % (393601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.13  % (393601)CaDiCaL version: 2.1.3
% 3.03/1.13  % (393601)Termination reason: Instruction limit
% 3.03/1.13  % (393601)Termination phase: Saturation
% 3.03/1.13  % (393601)Time elapsed: 0.003 s
% 3.03/1.13  % (393601)Peak memory usage: 89 MB
% 3.03/1.13  % (393601)Instructions burned: 6 (million)
% 3.03/1.13  % (393597)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=889895848:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.03/1.13  % (393603)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2549523935:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.03/1.13  % (393598)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2875750069:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.03/1.13  % (393600)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1112753313:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.03/1.13  % (393602)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2227720951:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.03/1.13  % (393599)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=724237963:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.03/1.13  % (393600)Instruction limit reached! 
% 3.03/1.13  % (393600)------------------------------
% 3.03/1.13  % (393600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.13  % (393600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.13  % (393600)CaDiCaL version: 2.1.3
% 3.03/1.13  % (393600)Termination reason: Instruction limit
% 3.03/1.13  % (393600)Termination phase: Saturation
% 3.03/1.13  % (393600)Time elapsed: 0.005 s
% 3.03/1.13  % (393600)Peak memory usage: 88 MB
% 3.03/1.13  % (393600)Instructions burned: 7 (million)
% 3.03/1.13  % (393597)Instruction limit reached! 
% 3.03/1.13  % (393597)------------------------------
% 3.03/1.13  % (393597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.13  % (393597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.13  % (393597)CaDiCaL version: 2.1.3
% 3.03/1.13  % (393597)Termination reason: Instruction limit
% 3.03/1.13  % (393597)Termination phase: Saturation
% 3.03/1.13  % (393597)Time elapsed: 0.032 s
% 3.03/1.13  % (393597)Peak memory usage: 115 MB
% 3.03/1.13  % (393597)Instructions burned: 13 (million)
% 3.03/1.13  % (393602)First to succeed.
% 3.03/1.13  % (393602)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-393592"
% 3.03/1.13  % (393598)Also succeeded, but the first one will report.
% 3.03/1.13  % (393603)Instruction limit reached! 
% 3.03/1.13  % (393603)------------------------------
% 3.03/1.13  % (393603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.13  % (393603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.13  % (393603)CaDiCaL version: 2.1.3
% 3.03/1.13  % (393603)Termination reason: Instruction limit
% 3.03/1.13  % (393603)Termination phase: Saturation
% 3.03/1.13  % (393603)Time elapsed: 0.048 s
% 3.03/1.13  % (393603)Peak memory usage: 115 MB
% 3.03/1.13  % (393603)Instructions burned: 33 (million)
% 3.03/1.13  % (393605)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1772989697:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.03/1.13  % (393605)Also succeeded, but the first one will report.
% 3.03/1.13  % (393612)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=4238548723:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.03/1.13  % (393599)Instruction limit reached! 
% 3.03/1.13  % (393599)------------------------------
% 3.03/1.13  % (393599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.13  % (393599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.35  % (393599)CaDiCaL version: 2.1.3
% 3.97/1.35  % (393599)Termination reason: Instruction limit
% 3.97/1.35  % (393599)Termination phase: Saturation
% 3.97/1.35  % (393599)Time elapsed: 0.173 s
% 3.97/1.35  % (393599)Peak memory usage: 117 MB
% 3.97/1.35  % (393599)Instructions burned: 201 (million)
% 3.97/1.35  % (393612)Instruction limit reached! 
% 3.97/1.35  % (393612)------------------------------
% 3.97/1.35  % (393612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.35  % (393612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.35  % (393612)CaDiCaL version: 2.1.3
% 3.97/1.35  % (393612)Termination reason: Instruction limit
% 3.97/1.35  % (393612)Termination phase: Saturation
% 3.97/1.35  % (393612)Time elapsed: 0.018 s
% 3.97/1.35  % (393612)Peak memory usage: 88 MB
% 3.97/1.35  % (393612)Instructions burned: 30 (million)
% 3.97/1.35  % (393613)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1917829386:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.97/1.35  % (393613)Refutation not found, incomplete strategy
% 3.97/1.35  % (393613)------------------------------
% 3.97/1.35  % (393613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.35  % (393613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.35  % (393613)CaDiCaL version: 2.1.3
% 3.97/1.35  % (393613)Termination reason: Refutation not found, incomplete strategy
% 3.97/1.35  % (393613)Time elapsed: 0.008 s
% 3.97/1.35  % (393613)Peak memory usage: 90 MB
% 3.97/1.35  % (393613)Instructions burned: 10 (million)
% 3.97/1.35  % (393614)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=777330502:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.97/1.35  % (393614)Instruction limit reached! 
% 3.97/1.35  % (393614)------------------------------
% 3.97/1.35  % (393614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.35  % (393614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.35  % (393614)CaDiCaL version: 2.1.3
% 3.97/1.35  % (393614)Termination reason: Instruction limit
% 3.97/1.35  % (393614)Termination phase: Saturation
% 3.97/1.35  % (393614)Time elapsed: 0.017 s
% 3.97/1.35  % (393614)Peak memory usage: 89 MB
% 3.97/1.35  % (393614)Instructions burned: 25 (million)
% 3.97/1.35  % (393602)Refutation found. Thanks to Tanya!
% 3.97/1.35  % SZS status Theorem for theBenchmark
% 3.97/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 3.97/1.35  % (393602)------------------------------
% 3.97/1.35  % (393602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.97/1.35  % (393602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/1.35  % (393602)CaDiCaL version: 2.1.3
% 3.97/1.35  % (393602)Termination reason: Refutation
% 3.97/1.35  % (393602)Time elapsed: 0.038 s
% 3.97/1.35  % (393602)Peak memory usage: 116 MB
% 3.97/1.35  % (393602)Instructions burned: 17 (million)
% 3.97/1.35  % (393602)------------------------------
% 3.97/1.35  % (393602)------------------------------
% 3.97/1.35  % (393592)Success in time 0.473 s
% 3.97/1.35  % Vampire exiting
%------------------------------------------------------------------------------