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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ARI575_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:33:23 AM UTC 2026

% Result   : Theorem 5.24s 1.84s
% Output   : Refutation 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (  12 unt;   0 typ;  15 def)
%            Number of atoms       :  183 (  68 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  178 (  51   ~;  68   |;  44   &)
%                                         (  14 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  293 (  72 atm;  71 fun; 129 num;  21 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :   15 (   7 usr;  13 con; 0-2 aty)
%            Number of variables   :   21 (   9   !;  12   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_11,type,
    sK0: $int ).

tff(func_def_12,type,
    sK1: $int ).

tff(func_def_13,type,
    sK2: $int ).

tff(func_def_14,type,
    sF3: $int ).

tff(func_def_15,type,
    sF4: $int ).

tff(func_def_16,type,
    sF5: $int ).

tff(func_def_17,type,
    sF6: $int ).

tff(f1,conjecture,
    ! [X1: $int,X2: $int,X0: $int] :
      ( ( ( X0 = 4 )
        & ( X1 = 5 )
        & ( X2 = 6 ) )
    <=> ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
        & $less(X0,X1)
        & $less(X1,X2)
        & $less(3,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq_sys_has_1_int_sol) ).

tff(f2,negated_conjecture,
    ~ ! [X1: $int,X2: $int,X0: $int] :
        ( ( ( X0 = 4 )
          & ( X1 = 5 )
          & ( X2 = 6 ) )
      <=> ( $less($sum($sum(X0,$product(2,X1)),$product(3,X2)),35)
          & $less(X0,X1)
          & $less(X1,X2)
          & $less(3,X0) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f21,plain,
    ~ ! [X2: $int,X1: $int,X0: $int] :
        ( ( ( 5 = X0 )
          & ( 4 = X2 )
          & ( 6 = X1 ) )
      <=> ( $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
          & $less(X0,X1)
          & $less(3,X2)
          & $less(X2,X0) ) ),
    inference(rectify,[],[f2]) ).

tff(f22,plain,
    ? [X1: $int,X2: $int,X0: $int] :
      ( ( ( 5 = X0 )
        & ( 4 = X2 )
        & ( 6 = X1 ) )
    <~> ( $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
        & $less(X0,X1)
        & $less(3,X2)
        & $less(X2,X0) ) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f23,plain,
    ? [X1: $int,X2: $int,X0: $int] :
      ( ( ~ $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
        | ~ $less(X0,X1)
        | ~ $less(3,X2)
        | ~ $less(X2,X0)
        | ( 5 != X0 )
        | ( 4 != X2 )
        | ( 6 != X1 ) )
      & ( ( $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
          & $less(X0,X1)
          & $less(3,X2)
          & $less(X2,X0) )
        | ( ( 5 = X0 )
          & ( 4 = X2 )
          & ( 6 = X1 ) ) ) ),
    inference(nnf_transformation,[],[f22]) ).

tff(f24,plain,
    ? [X1: $int,X2: $int,X0: $int] :
      ( ( ~ $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
        | ~ $less(X0,X1)
        | ~ $less(3,X2)
        | ~ $less(X2,X0)
        | ( 5 != X0 )
        | ( 4 != X2 )
        | ( 6 != X1 ) )
      & ( ( $less($sum($sum(X2,$product(2,X0)),$product(3,X1)),35)
          & $less(X0,X1)
          & $less(3,X2)
          & $less(X2,X0) )
        | ( ( 5 = X0 )
          & ( 4 = X2 )
          & ( 6 = X1 ) ) ) ),
    inference(flattening,[],[f23]) ).

tff(f25,plain,
    ? [X0: $int,X1: $int,X2: $int] :
      ( ( ~ $less($sum($sum(X1,$product(2,X2)),$product(3,X0)),35)
        | ~ $less(X2,X0)
        | ~ $less(3,X1)
        | ~ $less(X1,X2)
        | ( 5 != X2 )
        | ( 4 != X1 )
        | ( 6 != X0 ) )
      & ( ( $less($sum($sum(X1,$product(2,X2)),$product(3,X0)),35)
          & $less(X2,X0)
          & $less(3,X1)
          & $less(X1,X2) )
        | ( ( 5 = X2 )
          & ( 4 = X1 )
          & ( 6 = X0 ) ) ) ),
    inference(rectify,[],[f24]) ).

tff(f26,plain,
    ( ( ~ $less($sum($sum(sK1,$product(2,sK2)),$product(3,sK0)),35)
      | ~ $less(sK2,sK0)
      | ~ $less(3,sK1)
      | ~ $less(sK1,sK2)
      | ( 5 != sK2 )
      | ( 4 != sK1 )
      | ( 6 != sK0 ) )
    & ( ( $less($sum($sum(sK1,$product(2,sK2)),$product(3,sK0)),35)
        & $less(sK2,sK0)
        & $less(3,sK1)
        & $less(sK1,sK2) )
      | ( ( 5 = sK2 )
        & ( 4 = sK1 )
        & ( 6 = sK0 ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f25]) ).

tff(f27,plain,
    ( $less(sK1,sK2)
    | ( 6 = sK0 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f28,plain,
    ( ( 4 = sK1 )
    | $less(sK1,sK2) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f29,plain,
    ( ( 5 = sK2 )
    | $less(sK1,sK2) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f30,plain,
    ( ( 6 = sK0 )
    | $less(3,sK1) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f31,plain,
    ( ( 4 = sK1 )
    | $less(3,sK1) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f32,plain,
    ( $less(3,sK1)
    | ( 5 = sK2 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f33,plain,
    ( $less(sK2,sK0)
    | ( 6 = sK0 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f35,plain,
    ( ( 5 = sK2 )
    | $less(sK2,sK0) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f36,plain,
    ( $less($sum($sum(sK1,$product(2,sK2)),$product(3,sK0)),35)
    | ( 6 = sK0 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f38,plain,
    ( $less($sum($sum(sK1,$product(2,sK2)),$product(3,sK0)),35)
    | ( 5 = sK2 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f39,plain,
    ( ~ $less($sum($sum(sK1,$product(2,sK2)),$product(3,sK0)),35)
    | ~ $less(sK2,sK0)
    | ~ $less(3,sK1)
    | ~ $less(sK1,sK2)
    | ( 5 != sK2 )
    | ( 4 != sK1 )
    | ( 6 != sK0 ) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f41,definition,
    sF3 = $product(2,sK2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

tff(f42,plain,
    $product(2,sK2) = sF3,
    inference(reorient_equations,[],[f41]) ).

tff(f43,definition,
    sF4 = $sum(sK1,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

tff(f44,plain,
    $sum(sK1,sF3) = sF4,
    inference(reorient_equations,[],[f43]) ).

tff(f45,definition,
    sF5 = $product(3,sK0),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

tff(f46,definition,
    sF6 = $sum(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

tff(f47,plain,
    $sum(sF4,sF5) = sF6,
    inference(reorient_equations,[],[f46]) ).

tff(f48,plain,
    ( ( 5 != sK2 )
    | ~ $less(3,sK1)
    | ~ $less(sF6,35)
    | ~ $less(sK1,sK2)
    | ~ $less(sK2,sK0)
    | ( 6 != sK0 )
    | ( 4 != sK1 ) ),
    inference(definition_folding,[],[f39,f47,f45,f44,f42]) ).

tff(f49,plain,
    ( $less(sF6,35)
    | ( 5 = sK2 ) ),
    inference(definition_folding,[],[f38,f47,f45,f44,f42]) ).

tff(f51,plain,
    ( $less(sF6,35)
    | ( 6 = sK0 ) ),
    inference(definition_folding,[],[f36,f47,f45,f44,f42]) ).

tff(f53,definition,
    ( spl7_1
  <=> ( 4 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

tff(f57,definition,
    ( spl7_2
  <=> $less(sK2,sK0) ),
    introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).

tff(f62,definition,
    ( spl7_3
  <=> $less(3,sK1) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

tff(f66,definition,
    ( spl7_4
  <=> ( 6 = sK0 ) ),
    introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).

tff(f69,plain,
    ( spl7_3
    | spl7_4 ),
    inference(avatar_split_clause,[],[f30,f66,f62]) ).

tff(f71,definition,
    ( spl7_5
  <=> ( sF5 = $product(3,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).

tff(f74,plain,
    spl7_5,
    inference(avatar_split_clause,[],[f45,f71]) ).

tff(f76,definition,
    ( spl7_6
  <=> $less(sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).

tff(f80,definition,
    ( spl7_7
  <=> ( 5 = sK2 ) ),
    introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).

tff(f83,plain,
    ( spl7_6
    | spl7_7 ),
    inference(avatar_split_clause,[],[f29,f80,f76]) ).

tff(f84,plain,
    ( spl7_2
    | spl7_7 ),
    inference(avatar_split_clause,[],[f35,f80,f57]) ).

tff(f85,plain,
    ( spl7_3
    | spl7_1 ),
    inference(avatar_split_clause,[],[f31,f53,f62]) ).

tff(f87,definition,
    ( spl7_8
  <=> $less(sF6,35) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

tff(f90,plain,
    ( spl7_8
    | spl7_4 ),
    inference(avatar_split_clause,[],[f51,f66,f87]) ).

tff(f92,plain,
    ( spl7_6
    | spl7_4 ),
    inference(avatar_split_clause,[],[f27,f66,f76]) ).

tff(f94,definition,
    ( spl7_9
  <=> ( $product(2,sK2) = sF3 ) ),
    introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).

tff(f97,plain,
    spl7_9,
    inference(avatar_split_clause,[],[f42,f94]) ).

tff(f98,plain,
    ( ~ spl7_8
    | ~ spl7_6
    | ~ spl7_4
    | ~ spl7_2
    | ~ spl7_7
    | ~ spl7_3
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f48,f53,f62,f80,f57,f66,f76,f87]) ).

tff(f99,plain,
    ( spl7_2
    | spl7_4 ),
    inference(avatar_split_clause,[],[f33,f66,f57]) ).

tff(f101,definition,
    ( spl7_10
  <=> ( $sum(sF4,sF5) = sF6 ) ),
    introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).

tff(f104,plain,
    spl7_10,
    inference(avatar_split_clause,[],[f47,f101]) ).

tff(f106,definition,
    ( spl7_11
  <=> ( $sum(sK1,sF3) = sF4 ) ),
    introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).

tff(f109,plain,
    spl7_11,
    inference(avatar_split_clause,[],[f44,f106]) ).

tff(f110,plain,
    ( spl7_8
    | spl7_7 ),
    inference(avatar_split_clause,[],[f49,f80,f87]) ).

tff(f111,plain,
    ( spl7_7
    | spl7_3 ),
    inference(avatar_split_clause,[],[f32,f62,f80]) ).

tff(f112,plain,
    ( spl7_1
    | spl7_6 ),
    inference(avatar_split_clause,[],[f28,f76,f53]) ).

tff(f113,plain,
    $false,
    inference(avatar_smt_refutation,[],[f112,f111,f110,f109,f104,f99,f98,f97,f92,f90,f85,f84,f83,f74,f69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ARI575_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27  % Computer : n014.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 20:52:31 UTC 2026
% 0.26/0.27  % CPUTime  : 
% 0.26/0.27  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.32  Running first-order theorem proving
% 0.26/0.32  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
% 4.13/1.56  % (2173111)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.13/1.56  % (2173133)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2213171413:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.13/1.56  % (2173133)Instruction limit reached! 
% 4.13/1.56  % (2173133)------------------------------
% 4.13/1.56  % (2173133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.56  % (2173133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.56  % (2173133)CaDiCaL version: 2.1.3
% 4.13/1.56  % (2173133)Termination reason: Instruction limit
% 4.13/1.56  % (2173133)Termination phase: Saturation
% 4.13/1.56  % (2173133)Time elapsed: 0.005 s
% 4.13/1.56  % (2173133)Peak memory usage: 88 MB
% 4.13/1.56  % (2173133)Instructions burned: 9 (million)
% 4.13/1.56  % (2173136)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2765825783:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.13/1.56  % (2173136)First to succeed.
% 4.13/1.56  % (2173136)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2173111"
% 4.13/1.56  % (2173132)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2540175784:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.13/1.56  % (2173131)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2768395689:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.13/1.56  % (2173130)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3209159798:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.13/1.56  % (2173134)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=544514329:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.13/1.56  % (2173134)Instruction limit reached! 
% 4.13/1.56  % (2173134)------------------------------
% 4.13/1.56  % (2173134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.56  % (2173134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.56  % (2173134)CaDiCaL version: 2.1.3
% 4.13/1.56  % (2173134)Termination reason: Instruction limit
% 4.13/1.56  % (2173134)Termination phase: Saturation
% 4.13/1.56  % (2173134)Time elapsed: 0.007 s
% 4.13/1.56  % (2173134)Peak memory usage: 89 MB
% 4.13/1.56  % (2173134)Instructions burned: 4 (million)
% 4.13/1.56  % (2173135)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4231607038:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.13/1.56  % (2173130)Instruction limit reached! 
% 4.13/1.56  % (2173130)------------------------------
% 4.13/1.56  % (2173130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.56  % (2173130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.56  % (2173130)CaDiCaL version: 2.1.3
% 4.13/1.56  % (2173130)Termination reason: Instruction limit
% 4.13/1.56  % (2173130)Termination phase: Saturation
% 4.13/1.56  % (2173130)Time elapsed: 0.043 s
% 4.13/1.56  % (2173130)Peak memory usage: 115 MB
% 4.13/1.56  % (2173130)Instructions burned: 12 (million)
% 4.13/1.56  % (2173131)Also succeeded, but the first one will report.
% 4.13/1.56  % (2173139)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3892406558:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.13/1.56  % (2173139)Refutation not found, incomplete strategy
% 4.13/1.56  % (2173139)------------------------------
% 4.13/1.56  % (2173139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.13/1.56  % (2173139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/1.56  % (2173139)CaDiCaL version: 2.1.3
% 4.13/1.56  % (2173139)Termination reason: Refutation not found, incomplete strategy
% 4.13/1.56  % (2173139)Time elapsed: 0.002 s
% 4.13/1.56  % (2173139)Peak memory usage: 89 MB
% 4.13/1.56  % (2173139)Instructions burned: 1 (million)
% 4.13/1.56  % (2173135)Also succeeded, but the first one will report.
% 4.13/1.56  % (2173144)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=191376439:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 4.13/1.56  % (2173144)Instruction limit reached! 
% 4.13/1.56  % (2173144)------------------------------
% 4.13/1.56  % (2173144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.84  % (2173144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.84  % (2173144)CaDiCaL version: 2.1.3
% 5.24/1.84  % (2173144)Termination reason: Instruction limit
% 5.24/1.84  % (2173144)Termination phase: Saturation
% 5.24/1.84  % (2173144)Time elapsed: 0.026 s
% 5.24/1.84  % (2173144)Peak memory usage: 88 MB
% 5.24/1.84  % (2173144)Instructions burned: 29 (million)
% 5.24/1.84  % (2173132)Instruction limit reached! 
% 5.24/1.84  % (2173132)------------------------------
% 5.24/1.84  % (2173132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.84  % (2173132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.84  % (2173132)CaDiCaL version: 2.1.3
% 5.24/1.84  % (2173132)Termination reason: Instruction limit
% 5.24/1.84  % (2173132)Termination phase: Saturation
% 5.24/1.84  % (2173132)Time elapsed: 0.273 s
% 5.24/1.84  % (2173132)Peak memory usage: 117 MB
% 5.24/1.84  % (2173132)Instructions burned: 201 (million)
% 5.24/1.84  % (2173146)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2704916847:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.24/1.84  % (2173146)Refutation not found, incomplete strategy
% 5.24/1.84  % (2173146)------------------------------
% 5.24/1.84  % (2173146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.84  % (2173146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.84  % (2173146)CaDiCaL version: 2.1.3
% 5.24/1.84  % (2173146)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.84  % (2173146)Time elapsed: 0.009 s
% 5.24/1.84  % (2173146)Peak memory usage: 90 MB
% 5.24/1.84  % (2173146)Instructions burned: 7 (million)
% 5.24/1.84  % (2173139)------------------------------
% 5.24/1.84  % (2173139)------------------------------
% 5.24/1.84  % (2173149)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1462296673:i=24:canc=force:rtra=on_2995 on theBenchmark for (2995ds/24Mi)
% 5.24/1.84  % (2173136)Refutation found. Thanks to Tanya!
% 5.24/1.84  % SZS status Theorem for theBenchmark
% 5.24/1.84  % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.84  % (2173136)------------------------------
% 5.24/1.84  % (2173136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.84  % (2173136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.84  % (2173136)CaDiCaL version: 2.1.3
% 5.24/1.84  % (2173136)Termination reason: Refutation
% 5.24/1.84  % (2173136)Time elapsed: 0.039 s
% 5.24/1.84  % (2173136)Peak memory usage: 116 MB
% 5.24/1.84  % (2173136)Instructions burned: 17 (million)
% 5.24/1.84  % (2173136)------------------------------
% 5.24/1.84  % (2173136)------------------------------
% 5.24/1.84  % (2173111)Success in time 0.61 s
% 5.24/1.84  % Vampire exiting
%------------------------------------------------------------------------------