↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX080_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:45:50 PM UTC 2026

% Result   : Theorem 3.06s 1.12s
% Output   : Refutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (  11 unt;   0 typ;   5 def)
%            Number of atoms       :  240 ( 102 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  329 ( 136   ~; 126   |;  57   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   2 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   6 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-1 aty)
%            Number of variables   :  135 ( 102   !;  33   ?; 135   :)

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

tff(type_def_6,type,
    symbol: $tType ).

tff(func_def_0,type,
    f__integer__: $int > general ).

tff(func_def_1,type,
    f__symbolic__: symbol > general ).

tff(func_def_2,type,
    c__infimum__: general ).

tff(func_def_3,type,
    c__supremum__: general ).

tff(func_def_4,type,
    n_i: $int ).

tff(func_def_7,type,
    sK0: general > symbol ).

tff(func_def_8,type,
    sK1: general > general ).

tff(func_def_9,type,
    sK2: general > general ).

tff(func_def_10,type,
    sK3: general > general ).

tff(func_def_11,type,
    sK4: general > general ).

tff(func_def_12,type,
    sK5: general > general ).

tff(func_def_13,type,
    sK6: general ).

tff(func_def_14,type,
    sK7: general ).

tff(func_def_15,type,
    sK8: general ).

tff(func_def_16,type,
    sK9: general > $int ).

tff(func_def_17,type,
    sK10: general > $int ).

tff(func_def_18,type,
    sK11: general > $int ).

tff(func_def_19,type,
    sK12: general > general ).

tff(func_def_20,type,
    sK13: general > $int ).

tff(func_def_21,type,
    sK14: general > $int ).

tff(func_def_22,type,
    sK15: general > $int ).

tff(pred_def_1,type,
    p__is_integer__: general > $o ).

tff(pred_def_2,type,
    p__is_symbolic__: general > $o ).

tff(pred_def_3,type,
    p__less_equal__: ( general * general ) > $o ).

tff(pred_def_4,type,
    p__less__: ( general * general ) > $o ).

tff(pred_def_5,type,
    p__greater_equal__: ( general * general ) > $o ).

tff(pred_def_6,type,
    p__greater__: ( general * general ) > $o ).

tff(pred_def_8,type,
    s: ( general * general ) > $o ).

tff(pred_def_9,type,
    covered: general > $o ).

tff(pred_def_10,type,
    in_cover: general > $o ).

tff(f19,axiom,
    ! [X0: general,X2: general,X1: general] :
      ( ( ? [X3: general,X4: general] :
            ( ( X3 != X4 )
            & ( X3 = X0 )
            & ( X4 = X1 ) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & ( X4 = X1 )
            & s(X3,X4) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & s(X3,X4)
            & ( X4 = X0 ) )
        & ? [X3: general] :
            ( in_cover(X3)
            & ( X3 = X1 ) )
        & ? [X3: general] :
            ( ( X3 = X0 )
            & in_cover(X3) ) )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_constraint_0) ).

tff(f24,conjecture,
    ! [X1: general,X0: general] :
      ( ( in_cover(X1)
        & in_cover(X0)
        & ? [X2: general] :
            ( s(X2,X1)
            & s(X2,X0) ) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_8_unnamed_formula) ).

tff(f25,negated_conjecture,
    ~ ! [X1: general,X0: general] :
        ( ( in_cover(X1)
          & in_cover(X0)
          & ? [X2: general] :
              ( s(X2,X1)
              & s(X2,X0) ) )
       => ( X0 = X1 ) ),
    inference(negated_conjecture,[status(cth)],[f24]) ).

tff(f35,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( ? [X3: general,X4: general] :
            ( ( X3 != X4 )
            & ( X2 = X4 )
            & ( X3 = X0 ) )
        & ? [X9: general] :
            ( in_cover(X9)
            & ( X2 = X9 ) )
        & ? [X5: general,X6: general] :
            ( ( X1 = X5 )
            & ( X2 = X6 )
            & s(X5,X6) )
        & ? [X7: general,X8: general] :
            ( s(X7,X8)
            & ( X1 = X7 )
            & ( X0 = X8 ) )
        & ? [X10: general] :
            ( in_cover(X10)
            & ( X0 = X10 ) ) )
     => $false ),
    inference(rectify,[],[f19]) ).

tff(f36,plain,
    ! [X0: general,X1: general,X2: general] :
      ~ ( ? [X3: general,X4: general] :
            ( ( X3 != X4 )
            & ( X2 = X4 )
            & ( X3 = X0 ) )
        & ? [X9: general] :
            ( in_cover(X9)
            & ( X2 = X9 ) )
        & ? [X5: general,X6: general] :
            ( ( X1 = X5 )
            & ( X2 = X6 )
            & s(X5,X6) )
        & ? [X7: general,X8: general] :
            ( s(X7,X8)
            & ( X1 = X7 )
            & ( X0 = X8 ) )
        & ? [X10: general] :
            ( in_cover(X10)
            & ( X0 = X10 ) ) ),
    inference(true_and_false_elimination,[],[f35]) ).

tff(f38,plain,
    ~ ! [X1: general,X0: general] :
        ( ( in_cover(X0)
          & ? [X2: general] :
              ( s(X2,X0)
              & s(X2,X1) )
          & in_cover(X1) )
       => ( X0 = X1 ) ),
    inference(rectify,[],[f25]) ).

tff(f49,plain,
    ! [X0: general,X2: general,X1: general] :
      ( ! [X10: general] :
          ( ~ in_cover(X10)
          | ( X0 != X10 ) )
      | ! [X4: general,X3: general] :
          ( ( X3 = X4 )
          | ( X0 != X3 )
          | ( X2 != X4 ) )
      | ! [X6: general,X5: general] :
          ( ( X2 != X6 )
          | ( X1 != X5 )
          | ~ s(X5,X6) )
      | ! [X9: general] :
          ( ( X2 != X9 )
          | ~ in_cover(X9) )
      | ! [X7: general,X8: general] :
          ( ( X1 != X7 )
          | ~ s(X7,X8)
          | ( X0 != X8 ) ) ),
    inference(ennf_transformation,[],[f36]) ).

tff(f57,plain,
    ? [X1: general,X0: general] :
      ( ( X0 != X1 )
      & in_cover(X0)
      & ? [X2: general] :
          ( s(X2,X0)
          & s(X2,X1) )
      & in_cover(X1) ),
    inference(ennf_transformation,[],[f38]) ).

tff(f58,plain,
    ? [X0: general,X1: general] :
      ( ? [X2: general] :
          ( s(X2,X0)
          & s(X2,X1) )
      & ( X0 != X1 )
      & in_cover(X0)
      & in_cover(X1) ),
    inference(flattening,[],[f57]) ).

tff(f69,plain,
    ( s(sK8,sK6)
    & s(sK8,sK7)
    & ( sK7 != sK6 )
    & in_cover(sK6)
    & in_cover(sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f58]) ).

tff(f83,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ! [X3: general] :
          ( ~ in_cover(X3)
          | ( X0 != X3 ) )
      | ! [X4: general,X5: general] :
          ( ( X4 = X5 )
          | ( X0 != X5 )
          | ( X1 != X4 ) )
      | ! [X6: general,X7: general] :
          ( ( X1 != X6 )
          | ( X2 != X7 )
          | ~ s(X7,X6) )
      | ! [X8: general] :
          ( ( X1 != X8 )
          | ~ in_cover(X8) )
      | ! [X9: general,X10: general] :
          ( ( X2 != X9 )
          | ~ s(X9,X10)
          | ( X0 != X10 ) ) ),
    inference(rectify,[],[f49]) ).

tff(f96,plain,
    in_cover(sK7),
    inference(cnf_transformation,[],[f69]) ).

tff(f97,plain,
    in_cover(sK6),
    inference(cnf_transformation,[],[f69]) ).

tff(f98,plain,
    sK7 != sK6,
    inference(cnf_transformation,[],[f69]) ).

tff(f99,plain,
    s(sK8,sK7),
    inference(cnf_transformation,[],[f69]) ).

tff(f100,plain,
    s(sK8,sK6),
    inference(cnf_transformation,[],[f69]) ).

tff(f130,plain,
    ! [X2: general,X3: general,X10: general,X0: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in_cover(X3)
      | ( X0 != X3 )
      | ( X4 = X5 )
      | ( X0 != X5 )
      | ( X1 != X4 )
      | ( X1 != X6 )
      | ( X2 != X7 )
      | ~ s(X7,X6)
      | ( X1 != X8 )
      | ~ in_cover(X8)
      | ( X2 != X9 )
      | ~ s(X9,X10)
      | ( X0 != X10 ) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f143,plain,
    ! [X2: general,X3: general,X10: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in_cover(X3)
      | ( X4 = X5 )
      | ( X3 != X5 )
      | ( X1 != X4 )
      | ( X1 != X6 )
      | ( X2 != X7 )
      | ~ s(X7,X6)
      | ( X1 != X8 )
      | ~ in_cover(X8)
      | ( X2 != X9 )
      | ~ s(X9,X10)
      | ( X3 != X10 ) ),
    inference(equality_resolution,[],[f130]) ).

tff(f144,plain,
    ! [X2: general,X10: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X4 = X5 )
      | ( X1 != X4 )
      | ( X1 != X6 )
      | ( X2 != X7 )
      | ~ s(X7,X6)
      | ( X1 != X8 )
      | ~ in_cover(X8)
      | ( X2 != X9 )
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f143]) ).

tff(f145,plain,
    ! [X2: general,X10: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X4 = X5 )
      | ( X4 != X6 )
      | ( X2 != X7 )
      | ~ s(X7,X6)
      | ( X4 != X8 )
      | ~ in_cover(X8)
      | ( X2 != X9 )
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f144]) ).

tff(f146,plain,
    ! [X2: general,X10: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X5 = X6 )
      | ( X2 != X7 )
      | ~ s(X7,X6)
      | ( X6 != X8 )
      | ~ in_cover(X8)
      | ( X2 != X9 )
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f145]) ).

tff(f147,plain,
    ! [X10: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X5 = X6 )
      | ~ s(X7,X6)
      | ( X6 != X8 )
      | ~ in_cover(X8)
      | ( X7 != X9 )
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f146]) ).

tff(f148,plain,
    ! [X10: general,X8: general,X9: general,X7: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X5 = X8 )
      | ~ s(X7,X8)
      | ~ in_cover(X8)
      | ( X7 != X9 )
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f147]) ).

tff(f149,plain,
    ! [X10: general,X8: general,X9: general,X5: general] :
      ( ~ in_cover(X5)
      | ( X5 = X8 )
      | ~ s(X9,X8)
      | ~ in_cover(X8)
      | ~ s(X9,X10)
      | ( X5 != X10 ) ),
    inference(equality_resolution,[],[f148]) ).

tff(f150,plain,
    ! [X10: general,X8: general,X9: general] :
      ( ~ s(X9,X10)
      | ~ in_cover(X8)
      | ( X8 = X10 )
      | ~ s(X9,X8)
      | ~ in_cover(X10) ),
    inference(equality_resolution,[],[f149]) ).

tff(f152,definition,
    ( spl16_1
  <=> ( sK7 = sK6 ) ),
    introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).

tff(f154,plain,
    ( ( sK7 != sK6 )
    | spl16_1 ),
    inference(avatar_component_clause,[],[f152]) ).

tff(f155,plain,
    ~ spl16_1,
    inference(avatar_split_clause,[],[f98,f152]) ).

tff(f157,definition,
    ( spl16_2
  <=> s(sK8,sK7) ),
    introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).

tff(f159,plain,
    ( s(sK8,sK7)
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f157]) ).

tff(f160,plain,
    spl16_2,
    inference(avatar_split_clause,[],[f99,f157]) ).

tff(f162,definition,
    ( spl16_3
  <=> in_cover(sK6) ),
    introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).

tff(f164,plain,
    ( in_cover(sK6)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f162]) ).

tff(f165,plain,
    spl16_3,
    inference(avatar_split_clause,[],[f97,f162]) ).

tff(f167,definition,
    ( spl16_4
  <=> s(sK8,sK6) ),
    introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).

tff(f169,plain,
    ( s(sK8,sK6)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f167]) ).

tff(f170,plain,
    spl16_4,
    inference(avatar_split_clause,[],[f100,f167]) ).

tff(f172,definition,
    ( spl16_5
  <=> in_cover(sK7) ),
    introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).

tff(f174,plain,
    ( in_cover(sK7)
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f172]) ).

tff(f175,plain,
    spl16_5,
    inference(avatar_split_clause,[],[f96,f172]) ).

tff(f336,plain,
    ( ! [X0: general] :
        ( ~ in_cover(sK7)
        | ~ s(sK8,X0)
        | ( sK7 = X0 )
        | ~ in_cover(X0) )
    | ~ spl16_2 ),
    inference(resolution,[],[f150,f159]) ).

tff(f340,plain,
    ( ! [X0: general] :
        ( ~ s(sK8,X0)
        | ( sK7 = X0 )
        | ~ in_cover(X0) )
    | ~ spl16_2
    | ~ spl16_5 ),
    inference(forward_subsumption_resolution,[],[f336,f174]) ).

tff(f344,plain,
    ( ( sK7 = sK6 )
    | ~ in_cover(sK6)
    | ~ spl16_2
    | ~ spl16_4
    | ~ spl16_5 ),
    inference(resolution,[],[f340,f169]) ).

tff(f347,plain,
    ( ~ in_cover(sK6)
    | spl16_1
    | ~ spl16_2
    | ~ spl16_4
    | ~ spl16_5 ),
    inference(forward_subsumption_resolution,[],[f344,f154]) ).

tff(f356,plain,
    ( $false
    | spl16_1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_5 ),
    inference(forward_subsumption_resolution,[],[f347,f164]) ).

tff(f357,plain,
    ( spl16_1
    | ~ spl16_2
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_5 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

tff(f358,plain,
    $false,
    inference(avatar_smt_refutation,[],[f357,f175,f170,f165,f160,f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX080_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n020.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 15:00:50 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/1.12  % (224237)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.06/1.12  % (224245)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=165765081:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.06/1.12  % (224245)Instruction limit reached! 
% 3.06/1.12  % (224245)------------------------------
% 3.06/1.12  % (224245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224245)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224245)Termination reason: Instruction limit
% 3.06/1.12  % (224245)Termination phase: Saturation
% 3.06/1.12  % (224245)Time elapsed: 0.003 s
% 3.06/1.12  % (224245)Peak memory usage: 88 MB
% 3.06/1.12  % (224245)Instructions burned: 7 (million)
% 3.06/1.12  % (224242)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2755806239:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.06/1.12  % (224243)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1597220154:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.06/1.12  % (224244)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3932861273:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.06/1.12  % (224247)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3283007943:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.06/1.12  % (224246)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2350651101:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.06/1.12  % (224248)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2684508463:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.06/1.12  % (224246)Instruction limit reached! 
% 3.06/1.12  % (224246)------------------------------
% 3.06/1.12  % (224246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224246)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224246)Termination reason: Instruction limit
% 3.06/1.12  % (224246)Termination phase: Saturation
% 3.06/1.12  % (224246)Time elapsed: 0.004 s
% 3.06/1.12  % (224246)Peak memory usage: 88 MB
% 3.06/1.12  % (224246)Instructions burned: 4 (million)
% 3.06/1.12  % (224242)Refutation not found, incomplete strategy
% 3.06/1.12  % (224242)------------------------------
% 3.06/1.12  % (224242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224242)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224242)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.12  % (224242)Time elapsed: 0.032 s
% 3.06/1.12  % (224242)Peak memory usage: 116 MB
% 3.06/1.12  % (224242)Instructions burned: 9 (million)
% 3.06/1.12  % (224243)First to succeed.
% 3.06/1.12  % (224243)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-224237"
% 3.06/1.12  % (224248)Instruction limit reached! 
% 3.06/1.12  % (224248)------------------------------
% 3.06/1.12  % (224248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224248)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224248)Termination reason: Instruction limit
% 3.06/1.12  % (224248)Termination phase: Saturation
% 3.06/1.12  % (224248)Time elapsed: 0.046 s
% 3.06/1.12  % (224248)Peak memory usage: 116 MB
% 3.06/1.12  % (224248)Instructions burned: 33 (million)
% 3.06/1.12  % (224247)Instruction limit reached! 
% 3.06/1.12  % (224247)------------------------------
% 3.06/1.12  % (224247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224247)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224247)Termination reason: Instruction limit
% 3.06/1.12  % (224247)Termination phase: Saturation
% 3.06/1.12  % (224247)Time elapsed: 0.056 s
% 3.06/1.12  % (224247)Peak memory usage: 116 MB
% 3.06/1.12  % (224247)Instructions burned: 47 (million)
% 3.06/1.12  % (224250)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2105549465:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.06/1.12  % (224250)Also succeeded, but the first one will report.
% 3.06/1.12  % (224257)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=2045379825:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.06/1.12  % (224244)Instruction limit reached! 
% 3.06/1.12  % (224244)------------------------------
% 3.06/1.12  % (224244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224244)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224244)Termination reason: Instruction limit
% 3.06/1.12  % (224244)Termination phase: Saturation
% 3.06/1.12  % (224244)Time elapsed: 0.140 s
% 3.06/1.12  % (224244)Peak memory usage: 116 MB
% 3.06/1.12  % (224244)Instructions burned: 201 (million)
% 3.06/1.12  % (224257)Also succeeded, but the first one will report.
% 3.06/1.12  % (224260)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2578710243:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.06/1.12  % (224258)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1688224274:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.06/1.12  % (224260)Also succeeded, but the first one will report.
% 3.06/1.12  % (224258)Instruction limit reached! 
% 3.06/1.12  % (224258)------------------------------
% 3.06/1.12  % (224258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.12  % (224258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.12  % (224258)CaDiCaL version: 2.1.3
% 3.06/1.12  % (224258)Termination reason: Instruction limit
% 3.06/1.12  % (224258)Termination phase: Saturation
% 3.06/1.12  % (224258)Time elapsed: 0.012 s
% 3.06/1.12  % (224258)Peak memory usage: 90 MB
% 3.06/1.12  % (224258)Instructions burned: 17 (million)
% 3.06/1.12  % (224242)------------------------------
% 3.06/1.12  % (224242)------------------------------
% 3.06/1.12  % (224262)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=1684057881:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.06/1.12  % (224262)Also succeeded, but the first one will report.
% 3.06/1.12  % (224243)Refutation found. Thanks to Tanya!
% 3.06/1.12  % SZS status Theorem for theBenchmark
% 3.06/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.32  % (224243)------------------------------
% 3.81/1.32  % (224243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.32  % (224243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.32  % (224243)CaDiCaL version: 2.1.3
% 3.81/1.32  % (224243)Termination reason: Refutation
% 3.81/1.32  % (224243)Time elapsed: 0.042 s
% 3.81/1.32  % (224243)Peak memory usage: 116 MB
% 3.81/1.32  % (224243)Instructions burned: 22 (million)
% 3.81/1.32  % (224243)------------------------------
% 3.81/1.32  % (224243)------------------------------
% 3.81/1.32  % (224237)Success in time 0.451 s
% 3.81/1.32  % Vampire exiting
%------------------------------------------------------------------------------