↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC070+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 01:04:32 PM UTC 2026

% Result   : Theorem 1.50s 0.71s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   92 (  12 unt;   5 def)
%            Number of atoms       :  298 (  49 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  363 ( 157   ~; 144   |;  36   &)
%                                         (   9 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn  51   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ? [X4] :
                        ( ssList(X4)
                        & neq(X4,nil)
                        & segmentP(X1,X4)
                        & segmentP(X0,X4) )
                    | ( nil = X1
                      & nil = X0 )
                    | ( ( nil != X3
                        | nil != X2 )
                      & ( ~ neq(X2,nil)
                        | ~ frontsegP(X3,X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ? [X4] :
                          ( ssList(X4)
                          & neq(X4,nil)
                          & segmentP(X1,X4)
                          & segmentP(X0,X4) )
                      | ( nil = X1
                        & nil = X0 )
                      | ( ( nil != X3
                          | nil != X2 )
                        & ( ~ neq(X2,nil)
                          | ~ frontsegP(X3,X2) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f134,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f172,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f175,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ neq(X4,nil)
                      | ~ segmentP(X1,X4)
                      | ~ segmentP(X0,X4) )
                  & ( nil != X1
                    | nil != X0 )
                  & ( ( nil = X3
                      & nil = X2 )
                    | ( neq(X2,nil)
                      & frontsegP(X3,X2) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ neq(X4,nil)
                      | ~ segmentP(X1,X4)
                      | ~ segmentP(X0,X4) )
                  & ( nil != X1
                    | nil != X0 )
                  & ( ( nil = X3
                      & nil = X2 )
                    | ( neq(X2,nil)
                      & frontsegP(X3,X2) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | app(X1,sK5(X0,X1)) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ssList(sK5(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f306,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f320,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f357,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f359,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f411,plain,
    ! [X4] :
      ( ~ segmentP(sK47,X4)
      | ~ segmentP(sK48,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f412,plain,
    ( neq(sK49,nil)
    | nil = sK49 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    ( neq(sK49,nil)
    | nil = sK50 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    ( frontsegP(sK50,sK49)
    | nil = sK49 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    ( nil != sK47
    | nil != sK48 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f425,plain,
    ( nil != sK49
    | nil != sK50 ),
    inference(definition_unfolding,[],[f416,f418,f419]) ).

fof(f426,plain,
    ! [X4] :
      ( ~ segmentP(sK50,X4)
      | ~ segmentP(sK49,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f411,f418,f419]) ).

fof(f432,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f241]) ).

fof(f460,definition,
    ( spl51_1
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f462,plain,
    ( nil = sK49
    | ~ spl51_1 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f464,definition,
    ( spl51_2
  <=> neq(sK49,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f466,plain,
    ( neq(sK49,nil)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f467,plain,
    ( spl51_1
    | spl51_2 ),
    inference(avatar_split_clause,[],[f412,f464,f460]) ).

fof(f469,definition,
    ( spl51_3
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f472,plain,
    ( spl51_3
    | spl51_2 ),
    inference(avatar_split_clause,[],[f413,f464,f469]) ).

fof(f474,definition,
    ( spl51_4
  <=> frontsegP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f476,plain,
    ( frontsegP(sK50,sK49)
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,plain,
    ( spl51_1
    | spl51_4 ),
    inference(avatar_split_clause,[],[f414,f474,f460]) ).

fof(f479,plain,
    ( ~ spl51_3
    | ~ spl51_1 ),
    inference(avatar_split_clause,[],[f425,f460,f469]) ).

fof(f512,plain,
    ( ssList(nil)
    | ~ spl51_1 ),
    inference(superposition,[],[f420,f462]) ).

fof(f513,plain,
    ( neq(nil,nil)
    | ~ spl51_1
    | ~ spl51_2 ),
    inference(forward_demodulation,[],[f466,f462]) ).

fof(f515,plain,
    ( ! [X4] :
        ( ~ segmentP(sK50,X4)
        | ~ segmentP(nil,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    | ~ spl51_1 ),
    inference(forward_demodulation,[],[f426,f462]) ).

fof(f528,plain,
    ( ~ ssList(sK50)
    | ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ ssList(nil)
    | ~ spl51_1 ),
    inference(resolution,[],[f359,f515]) ).

fof(f529,plain,
    ( ~ segmentP(nil,nil)
    | ~ neq(nil,nil)
    | ~ ssList(nil)
    | ~ spl51_1 ),
    inference(forward_subsumption_resolution,[],[f528,f417]) ).

fof(f536,plain,
    ( ~ neq(nil,nil)
    | ~ ssList(nil)
    | ~ spl51_1 ),
    inference(forward_subsumption_resolution,[],[f529,f357]) ).

fof(f537,plain,
    ( ~ ssList(nil)
    | ~ spl51_1
    | ~ spl51_2 ),
    inference(forward_subsumption_resolution,[],[f536,f513]) ).

fof(f538,plain,
    ( $false
    | ~ spl51_1
    | ~ spl51_2 ),
    inference(forward_subsumption_resolution,[],[f537,f512]) ).

fof(f539,plain,
    ( ~ spl51_1
    | ~ spl51_2 ),
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f629,plain,
    ( ~ ssList(sK49)
    | sK50 = app(sK49,sK5(sK50,sK49))
    | ~ ssList(sK50)
    | ~ spl51_4 ),
    inference(resolution,[],[f235,f476]) ).

fof(f634,plain,
    ( sK50 = app(sK49,sK5(sK50,sK49))
    | ~ ssList(sK50)
    | ~ spl51_4 ),
    inference(forward_subsumption_resolution,[],[f629,f420]) ).

fof(f637,plain,
    ( sK50 = app(sK49,sK5(sK50,sK49))
    | ~ spl51_4 ),
    inference(forward_subsumption_resolution,[],[f634,f417]) ).

fof(f704,definition,
    ( spl51_25
  <=> ssList(sK5(sK50,sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_25])],[avatar_definition]) ).

fof(f705,plain,
    ( ssList(sK5(sK50,sK49))
    | ~ spl51_25 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( ~ ssList(sK5(sK50,sK49))
    | spl51_25 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f727,plain,
    ( ~ ssList(sK49)
    | ~ ssList(sK50)
    | ~ frontsegP(sK50,sK49)
    | spl51_25 ),
    inference(resolution,[],[f706,f236]) ).

fof(f728,plain,
    ( ~ ssList(sK50)
    | ~ frontsegP(sK50,sK49)
    | spl51_25 ),
    inference(forward_subsumption_resolution,[],[f727,f420]) ).

fof(f729,plain,
    ( ~ frontsegP(sK50,sK49)
    | spl51_25 ),
    inference(forward_subsumption_resolution,[],[f728,f417]) ).

fof(f730,plain,
    ( $false
    | ~ spl51_4
    | spl51_25 ),
    inference(forward_subsumption_resolution,[],[f729,f476]) ).

fof(f731,plain,
    ( ~ spl51_4
    | spl51_25 ),
    inference(avatar_contradiction_clause,[],[f730]) ).

fof(f1260,plain,
    sK49 = app(nil,sK49),
    inference(resolution,[],[f320,f420]) ).

fof(f2558,plain,
    ! [X0] :
      ( ~ ssList(app(sK49,X0))
      | ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK49,X0),sK49) ),
    inference(superposition,[],[f432,f1260]) ).

fof(f2581,plain,
    ! [X0] :
      ( ~ ssList(sK49)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK49,X0),sK49) ),
    inference(forward_subsumption_resolution,[],[f2558,f318]) ).

fof(f2605,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK49,X0),sK49) ),
    inference(forward_subsumption_resolution,[],[f2581,f420]) ).

fof(f2648,plain,
    ! [X0] :
      ( segmentP(app(sK49,X0),sK49)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f2605,f306]) ).

fof(f3642,plain,
    ( segmentP(sK50,sK49)
    | ~ ssList(sK5(sK50,sK49))
    | ~ spl51_4 ),
    inference(superposition,[],[f2648,f637]) ).

fof(f3647,plain,
    ( segmentP(sK50,sK49)
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(forward_subsumption_resolution,[],[f3642,f705]) ).

fof(f3666,plain,
    ( ~ segmentP(sK49,sK49)
    | ~ neq(sK49,nil)
    | ~ ssList(sK49)
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(resolution,[],[f3647,f426]) ).

fof(f3674,plain,
    ( ~ neq(sK49,nil)
    | ~ ssList(sK49)
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(forward_subsumption_resolution,[],[f3666,f357]) ).

fof(f3678,plain,
    ( ~ ssList(sK49)
    | ~ spl51_2
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(forward_subsumption_resolution,[],[f3674,f466]) ).

fof(f3679,plain,
    ( $false
    | ~ spl51_2
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(forward_subsumption_resolution,[],[f3678,f420]) ).

fof(f3680,plain,
    ( ~ spl51_2
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(avatar_contradiction_clause,[],[f3679]) ).

cnf(s1,plain,
    ( spl51_1
    | spl51_2 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s2,plain,
    ( spl51_2
    | spl51_3 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s3,plain,
    ( spl51_1
    | spl51_4 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s5,plain,
    ( ~ spl51_1
    | ~ spl51_3 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s15,plain,
    ( ~ spl51_1
    | ~ spl51_2 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s27,plain,
    ( ~ spl51_4
    | spl51_25 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s205,plain,
    ( ~ spl51_2
    | ~ spl51_4
    | ~ spl51_25 ),
    inference(sat_conversion,[],[f3680]) ).

cnf(s226,plain,
    spl51_1,
    inference(rat,[],[s205,s27,s1,s3]) ).

cnf(s227,plain,
    ~ spl51_2,
    inference(rat,[],[s15,s226]) ).

cnf(s228,plain,
    ~ spl51_3,
    inference(rat,[],[s5,s226]) ).

cnf(s229,plain,
    $false,
    inference(rat,[],[s2,s228,s227]) ).

fof(f3681,plain,
    $false,
    inference(avatar_sat_refutation,[],[s229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC070+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  % Computer : n009.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Mon Sep 28 07:43:16 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/0.71  % (2866586)Will run a generic schedule for satisfiability detection.
% 1.50/0.71  % (2866597)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3769298993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.50/0.71  % (2866592)% WARNING: option uhcvi not known.
% 1.50/0.71  % (2866591)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1225729591_2999 on theBenchmark for (2999ds/0Mi)
% 1.50/0.71  % (2866595)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1535111298:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.50/0.71  % (2866596)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=868350320:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.50/0.71  % (2866593)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=399548034:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.50/0.71  % (2866594)dis+10_1_sil=32000:sp=arity:random_seed=1868105821:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.50/0.71  % (2866592)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3170205444:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.50/0.71  % TRYING [1]
% 1.50/0.71  % TRYING [2]
% 1.50/0.71  % TRYING [3]
% 1.50/0.71  % TRYING [4]
% 1.50/0.71  % (2866597)Instruction limit reached! 
% 1.50/0.71  % (2866597)------------------------------
% 1.50/0.71  % (2866597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866597)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866597)Termination reason: Instruction limit
% 1.50/0.71  % (2866597)Termination phase: Saturation
% 1.50/0.71  % (2866597)Time elapsed: 0.084 s
% 1.50/0.71  % (2866597)Peak memory usage: 15 MB
% 1.50/0.71  % (2866597)Instructions burned: 159 (million)
% 1.50/0.71  % (2866608)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1107064015:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.50/0.71  % TRYING [1]
% 1.50/0.71  % TRYING [2]
% 1.50/0.71  % TRYING [3]
% 1.50/0.71  % TRYING [4]
% 1.50/0.71  % (2866594)Instruction limit reached! 
% 1.50/0.71  % (2866594)------------------------------
% 1.50/0.71  % (2866594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866594)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866594)Termination reason: Instruction limit
% 1.50/0.71  % (2866594)Termination phase: Saturation
% 1.50/0.71  % (2866594)Time elapsed: 0.105 s
% 1.50/0.71  % (2866594)Peak memory usage: 13 MB
% 1.50/0.71  % (2866594)Instructions burned: 104 (million)
% 1.50/0.71  % (2866595)Instruction limit reached! 
% 1.50/0.71  % (2866595)------------------------------
% 1.50/0.71  % (2866595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866595)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866595)Termination reason: Instruction limit
% 1.50/0.71  % (2866595)Termination phase: Saturation
% 1.50/0.71  % (2866595)Time elapsed: 0.111 s
% 1.50/0.71  % (2866595)Peak memory usage: 13 MB
% 1.50/0.71  % (2866595)Instructions burned: 116 (million)
% 1.50/0.71  % (2866596)Instruction limit reached! 
% 1.50/0.71  % (2866596)------------------------------
% 1.50/0.71  % (2866596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866596)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866596)Termination reason: Instruction limit
% 1.50/0.71  % (2866596)Termination phase: Saturation
% 1.50/0.71  % (2866596)Time elapsed: 0.122 s
% 1.50/0.71  % (2866596)Peak memory usage: 14 MB
% 1.50/0.71  % (2866596)Instructions burned: 131 (million)
% 1.50/0.71  % (2866612)ott-21_1_sil=16000:fs=off:random_seed=2642984235:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.50/0.71  % (2866610)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1210636665:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.50/0.71  % (2866611)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4191834003:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.50/0.71  % TRYING [5]
% 1.50/0.71  % TRYING [5]
% 1.50/0.71  % (2866612)Instruction limit reached! 
% 1.50/0.71  % (2866612)------------------------------
% 1.50/0.71  % (2866612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866612)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866612)Termination reason: Instruction limit
% 1.50/0.71  % (2866612)Termination phase: Saturation
% 1.50/0.71  % (2866612)Time elapsed: 0.053 s
% 1.50/0.71  % (2866612)Peak memory usage: 13 MB
% 1.50/0.71  % (2866612)Instructions burned: 181 (million)
% 1.50/0.71  % (2866611) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2866586-2866611"...
% 1.50/0.71  % (2866616)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=890967687:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.50/0.71  % (2866611)...printing done.
% 1.50/0.71  % (2866611)Refutation found. Thanks to Tanya!
% 1.50/0.71  % SZS status Theorem for theBenchmark
% 1.50/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.71  % (2866611)------------------------------
% 1.50/0.71  % (2866611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.71  % (2866611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.71  % (2866611)CaDiCaL version: 2.1.3
% 1.50/0.71  % (2866611)Termination reason: Refutation
% 1.50/0.71  % (2866611)Time elapsed: 0.070 s
% 1.50/0.71  % (2866611)Peak memory usage: 15 MB
% 1.50/0.71  % (2866611)Instructions burned: 107 (million)
% 1.50/0.71  % (2866586)Success in time 0.252 s
% 1.50/0.71  % Vampire exiting
%------------------------------------------------------------------------------