↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU771^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 : Wed Sep 30 08:31:16 AM UTC 2026

% Result   : Theorem 0.36s 0.42s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   69 (  32 unt;   0 typ;   8 def)
%            Number of atoms       :  285 (  59 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  416 (  33   ~;  30   |;   2   &; 321   @)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   60 (  60   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  23 usr;  13 con; 0-4 aty)
%                                         (  21  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  146 (   0 sgn  32   !;   2   ?; 146   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    subset: $i > $i > $o ).

thf(func_def_1,type,
    cartprod: $i > $i > $i ).

thf(func_def_2,type,
    breln: $i > $i > $i > $o ).

thf(func_def_4,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

thf(func_def_5,type,
    setOfPairsIsBReln: $o ).

thf(func_def_6,type,
    breln1: $i > $i > $o ).

thf(func_def_9,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_10,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_11,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_12,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_13,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_15,type,
    sK1: $i > $i > $o ).

thf(func_def_16,type,
    sF2: $o ).

thf(func_def_18,type,
    sF4: $o ).

thf(func_def_21,type,
    sK7: $i > $i > $o ).

thf(f1,axiom,
    ( breln
    = ( ^ [X0: $i,X1: $i,X2: $i] : ( subset @ X2 @ ( cartprod @ X0 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln) ).

thf(f2,axiom,
    ! [X2: $i > $i > $o,X1: $i,X0: $i] :
      ( ( breln @ X0 @ X1
        @ ( dpsetconstr @ X0 @ X1
          @ ^ [X3: $i,X4: $i] : ( X2 @ X3 @ X4 ) ) )
      = setOfPairsIsBReln ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setOfPairsIsBReln) ).

thf(f3,axiom,
    ( ( ^ [X0: $i,X1: $i] : ( breln @ X0 @ X0 @ X1 ) )
    = breln1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',breln1) ).

thf(f4,conjecture,
    ( setOfPairsIsBReln
   => ! [X0: $i,X1: $i > $i > $o] :
        ( breln1 @ X0
        @ ( dpsetconstr @ X0 @ X0
          @ ^ [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setOfPairsIsBReln1) ).

thf(f5,negated_conjecture,
    ~ ( setOfPairsIsBReln
     => ! [X0: $i,X1: $i > $i > $o] :
          ( breln1 @ X0
          @ ( dpsetconstr @ X0 @ X0
            @ ^ [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f6,plain,
    ~ ( setOfPairsIsBReln
     => ! [X0: $i,X1: $i > $i > $o] :
          ( breln1 @ X0
          @ ( dpsetconstr @ X0 @ X0
            @ ^ [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f7,plain,
    ~ ( ( setOfPairsIsBReln = $true )
     => ! [X1: $i > $i > $o,X0: $i] :
          ( ( breln1 @ X0
            @ ( dpsetconstr @ X0 @ X0
              @ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
          = $true ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f8,plain,
    ! [X0: $i > $i > $o,X1: $i,X2: $i] :
      ( ( breln @ X2 @ X1
        @ ( dpsetconstr @ X2 @ X1
          @ ^ [X3: $i,X4: $i] : ( X0 @ X3 @ X4 ) ) )
      = setOfPairsIsBReln ),
    inference(rectify,[],[f2]) ).

thf(f9,plain,
    ( setOfPairsIsBReln
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y2: $i > $i > $o] :
                  ( breln @ Y0 @ Y1
                  @ ( dpsetconstr @ Y0 @ Y1
                    @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f8]) ).

thf(f10,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f11,plain,
    ( breln
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f12,plain,
    ( ( setOfPairsIsBReln = $true )
    & ? [X0: $i,X1: $i > $i > $o] :
        ( ( breln1 @ X0
          @ ( dpsetconstr @ X0 @ X0
            @ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) )
       != $true ) ),
    inference(ennf_transformation,[],[f7]) ).

thf(f13,plain,
    ( ( setOfPairsIsBReln = $true )
    & ( ( breln1 @ sK0
        @ ( dpsetconstr @ sK0 @ sK0
          @ ^ [Y0: $i,Y1: $i] : ( sK1 @ Y0 @ Y1 ) ) )
     != $true ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f12]) ).

thf(f14,plain,
    ( breln
    = ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f11]) ).

thf(f15,plain,
    ( setOfPairsIsBReln
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y2: $i > $i > $o] :
                  ( breln @ Y0 @ Y1
                  @ ( dpsetconstr @ Y0 @ Y1
                    @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f16,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] : ( breln @ Y0 @ Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f10]) ).

thf(f17,plain,
    ( ( breln1 @ sK0
      @ ( dpsetconstr @ sK0 @ sK0
        @ ^ [Y0: $i,Y1: $i] : ( sK1 @ Y0 @ Y1 ) ) )
   != $true ),
    inference(cnf_transformation,[],[f13]) ).

thf(f18,plain,
    setOfPairsIsBReln = $true,
    inference(cnf_transformation,[],[f13]) ).

thf(f21,plain,
    ( breln1
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 ) ) ),
    inference(definition_unfolding,[],[f16,f14]) ).

thf(f22,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y2: $i > $i > $o] :
                  ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
                  @ Y0
                  @ Y1
                  @ ( dpsetconstr @ Y0 @ Y1
                    @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
    = $true ),
    inference(definition_unfolding,[],[f15,f18,f14]) ).

thf(f23,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK0
      @ ( dpsetconstr @ sK0 @ sK0
        @ ^ [Y0: $i,Y1: $i] : ( sK1 @ Y0 @ Y1 ) ) )
   != $true ),
    inference(definition_unfolding,[],[f17,f21]) ).

thf(f24,definition,
    ( sF2
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y2: $i > $i > $o] :
                  ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
                  @ Y0
                  @ Y1
                  @ ( dpsetconstr @ Y0 @ Y1
                    @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

thf(f25,plain,
    sF2 = $true,
    inference(definition_folding,[],[f22,f24]) ).

thf(f26,definition,
    ( sF3
    = ( dpsetconstr @ sK0 @ sK0
      @ ^ [Y0: $i,Y1: $i] : ( sK1 @ Y0 @ Y1 ) ) ),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

thf(f27,plain,
    ( ( dpsetconstr @ sK0 @ sK0
      @ ^ [Y0: $i,Y1: $i] : ( sK1 @ Y0 @ Y1 ) )
    = sF3 ),
    inference(reorient_equations,[],[f26]) ).

thf(f28,definition,
    ( sF4
    = ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK0
      @ sF3 ) ),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

thf(f29,plain,
    ( ( ^ [Y0: $i,Y1: $i] :
          ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
          @ Y0
          @ Y0
          @ Y1 )
      @ sK0
      @ sF3 )
    = sF4 ),
    inference(reorient_equations,[],[f28]) ).

thf(f30,plain,
    $true != sF4,
    inference(definition_folding,[],[f23,f29,f27]) ).

thf(f32,plain,
    ( ( sF2 = $false )
    | ( ( !! @ $i
        @ ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ ( $i > $i > $o )
                @ ^ [Y2: $i > $i > $o] :
                    ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
                    @ Y0
                    @ Y1
                    @ ( dpsetconstr @ Y0 @ Y1
                      @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) ) )
      = $true ) ),
    inference(iff_proxy_clausification,[],[f24]) ).

thf(f33,plain,
    ! [X1: $i] :
      ( ( sF2 = $false )
      | ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ ( $i > $i > $o )
                  @ ^ [Y2: $i > $i > $o] :
                      ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
                      @ Y0
                      @ Y1
                      @ ( dpsetconstr @ Y0 @ Y1
                        @ ^ [Y3: $i,Y4: $i] : ( Y2 @ Y3 @ Y4 ) ) ) ) )
          @ X1 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f32]) ).

thf(f34,plain,
    ! [X1: $i] :
      ( ( sF2 = $false )
      | ( ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y1: $i > $i > $o] : ( subset @ ( dpsetconstr @ X1 @ Y0 @ Y1 ) @ ( cartprod @ X1 @ Y0 ) ) ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f33]) ).

thf(f35,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( ^ [Y0: $i] :
              ( !! @ ( $i > $i > $o )
              @ ^ [Y1: $i > $i > $o] : ( subset @ ( dpsetconstr @ X1 @ Y0 @ Y1 ) @ ( cartprod @ X1 @ Y0 ) ) )
          @ X2 )
        = $true )
      | ( sF2 = $false ) ),
    inference(pi_proxy_clausification,[],[f34]) ).

thf(f36,plain,
    ! [X2: $i,X1: $i] :
      ( ( ( !! @ ( $i > $i > $o )
          @ ^ [Y0: $i > $i > $o] : ( subset @ ( dpsetconstr @ X1 @ X2 @ Y0 ) @ ( cartprod @ X1 @ X2 ) ) )
        = $true )
      | ( sF2 = $false ) ),
    inference(beta-eta_normalization,[],[f35]) ).

thf(f37,plain,
    ! [X2: $i,X3: $i > $i > $o,X1: $i] :
      ( ( sF2 = $false )
      | ( ( ^ [Y0: $i > $i > $o] : ( subset @ ( dpsetconstr @ X1 @ X2 @ Y0 ) @ ( cartprod @ X1 @ X2 ) )
          @ X3 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f36]) ).

thf(f38,plain,
    ! [X2: $i,X3: $i > $i > $o,X1: $i] :
      ( ( ( subset @ ( dpsetconstr @ X1 @ X2 @ X3 ) @ ( cartprod @ X1 @ X2 ) )
        = $true )
      | ( sF2 = $false ) ),
    inference(beta-eta_normalization,[],[f37]) ).

thf(f46,plain,
    ( ( $false
      = ( ^ [Y0: $i,Y1: $i] :
            ( ^ [Y2: $i,Y3: $i,Y4: $i] : ( subset @ Y4 @ ( cartprod @ Y2 @ Y3 ) )
            @ Y0
            @ Y0
            @ Y1 )
        @ sK0
        @ sF3 ) )
    | ( $true = sF4 ) ),
    inference(iff_proxy_clausification,[],[f29]) ).

thf(f47,plain,
    ( ( $false
      = ( subset @ sF3 @ ( cartprod @ sK0 @ sK0 ) ) )
    | ( $true = sF4 ) ),
    inference(beta-eta_normalization,[],[f46]) ).

thf(f49,plain,
    ( sF3
    = ( dpsetconstr @ sK0 @ sK0 @ sK1 ) ),
    inference(beta-eta_normalization,[],[f27]) ).

thf(f51,definition,
    ( spl8_1
  <=> ( sF2 = $false ) ),
    introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).

thf(f53,plain,
    ( ( sF2 = $false )
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f51]) ).

thf(f55,definition,
    ( spl8_2
  <=> ! [X2: $i,X1: $i,X3: $i > $i > $o] :
        ( ( subset @ ( dpsetconstr @ X1 @ X2 @ X3 ) @ ( cartprod @ X1 @ X2 ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).

thf(f56,plain,
    ( ! [X2: $i,X3: $i > $i > $o,X1: $i] :
        ( ( subset @ ( dpsetconstr @ X1 @ X2 @ X3 ) @ ( cartprod @ X1 @ X2 ) )
        = $true )
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f55]) ).

thf(f57,plain,
    ( spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f38,f55,f51]) ).

thf(f59,definition,
    ( spl8_3
  <=> ( sF2 = $true ) ),
    introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).

thf(f61,plain,
    ( ( sF2 = $true )
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f59]) ).

thf(f68,definition,
    ( spl8_5
  <=> ( $false
      = ( subset @ sF3 @ ( cartprod @ sK0 @ sK0 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).

thf(f70,plain,
    ( ( $false
      = ( subset @ sF3 @ ( cartprod @ sK0 @ sK0 ) ) )
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f68]) ).

thf(f72,definition,
    ( spl8_6
  <=> ( $true = sF4 ) ),
    introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).

thf(f75,plain,
    ( spl8_5
    | spl8_6 ),
    inference(avatar_split_clause,[],[f47,f72,f68]) ).

thf(f85,plain,
    ~ spl8_6,
    inference(avatar_split_clause,[],[f30,f72]) ).

thf(f86,plain,
    spl8_3,
    inference(avatar_split_clause,[],[f25,f59]) ).

thf(f102,plain,
    ( ( ( subset @ sF3 @ ( cartprod @ sK0 @ sK0 ) )
      = $true )
    | ~ spl8_2 ),
    inference(constrained_superposition,[],[f56,f49]) ).

thf(f103,plain,
    ( ( $false = $true )
    | ~ spl8_2
    | ~ spl8_5 ),
    inference(forward_demodulation,[],[f102,f70]) ).

thf(f104,plain,
    ( $false
    | ~ spl8_2
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f103]) ).

thf(f105,plain,
    ( ~ spl8_2
    | ~ spl8_5 ),
    inference(avatar_contradiction_clause,[],[f104]) ).

thf(f106,plain,
    ( ( $false = $true )
    | ~ spl8_1
    | ~ spl8_3 ),
    inference(forward_demodulation,[],[f53,f61]) ).

thf(f107,plain,
    ( $false
    | ~ spl8_1
    | ~ spl8_3 ),
    inference(trivial_inequality_removal,[],[f106]) ).

thf(f108,plain,
    ( ~ spl8_1
    | ~ spl8_3 ),
    inference(avatar_contradiction_clause,[],[f107]) ).

cnf(s1,plain,
    ( spl8_1
    | spl8_2 ),
    inference(sat_conversion,[],[f57]) ).

cnf(s3,plain,
    ( spl8_5
    | spl8_6 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s5,plain,
    ~ spl8_6,
    inference(sat_conversion,[],[f85]) ).

cnf(s6,plain,
    spl8_3,
    inference(sat_conversion,[],[f86]) ).

cnf(s8,plain,
    ( ~ spl8_2
    | ~ spl8_5 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s9,plain,
    ( ~ spl8_1
    | ~ spl8_3 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s10,plain,
    ~ spl8_1,
    inference(rat,[],[s9,s6]) ).

cnf(s12,plain,
    spl8_5,
    inference(rat,[],[s3,s5]) ).

cnf(s13,plain,
    ~ spl8_2,
    inference(rat,[],[s8,s12]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s13,s10]) ).

thf(f109,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU771^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.29  % Computer : n002.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8046.5625MB
% 0.11/0.29  % OS       : Linux 6.8.0-71-generic
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Tue Sep 29 14:26:52 UTC 2026
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.30/0.35  Running higher-order theorem proving
% 0.30/0.37  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.42  % (1367741)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.36/0.42  % (1367752)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.36/0.42  % (1367752)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.36/0.42  % (1367752)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3576653132:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.36/0.42  % (1367752) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1367741-1367752"...
% 0.36/0.42  % (1367752)...printing done.
% 0.36/0.42  % (1367752)Refutation found. Thanks to Tanya!
% 0.36/0.42  % SZS status Theorem for theBenchmark
% 0.36/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.42  % (1367752)------------------------------
% 0.36/0.42  % (1367752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.42  % (1367752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.42  % (1367752)CaDiCaL version: 2.1.3
% 0.36/0.42  % (1367752)Termination reason: Refutation
% 0.36/0.42  % (1367752)Time elapsed: 0.005 s
% 0.36/0.42  % (1367752)Peak memory usage: 13 MB
% 0.36/0.42  % (1367752)Instructions burned: 6 (million)
% 0.36/0.42  % (1367741)Success in time 0.039 s
% 0.36/0.42  % Vampire exiting
%------------------------------------------------------------------------------