↑ 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  : SWC309+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 : n026.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 01:05:29 PM UTC 2026

% Result   : Theorem 10.58s 2.61s
% Output   : Refutation 10.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   91 (  13 unt;   3 def)
%            Number of atoms       :  310 (  94 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  356 ( 137   ~; 157   |;  38   &)
%                                         (   5 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  66   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
        | ? [X1] :
            ( ssList(X1)
            & ? [X2] :
                ( ssItem(X2)
                & cons(X2,X1) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(f25,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => tl(cons(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ neq(X1,nil)
                    | ? [X4] :
                        ( ssItem(X4)
                        & ? [X5] :
                            ( ssList(X5)
                            & app(cons(X4,nil),X5) = X1
                            & app(X5,cons(X4,nil)) = X0 ) )
                    | ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( ssList(X7)
                            & app(X7,cons(X6,nil)) != X2
                            & app(cons(X6,nil),X7) = X3 ) )
                    | ( nil != X2
                      & nil = X3 ) ) ) ) ) ),
    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
                      | ~ neq(X1,nil)
                      | ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssList(X5)
                              & app(cons(X4,nil),X5) = X1
                              & app(X5,cons(X4,nil)) = X0 ) )
                      | ? [X6] :
                          ( ssItem(X6)
                          & ? [X7] :
                              ( ssList(X7)
                              & app(X7,cons(X6,nil)) != X2
                              & app(cons(X6,nil),X7) = X3 ) )
                      | ( nil != X2
                        & nil = X3 ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f123,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f124,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssItem(X2)
              & cons(X2,X1) = X0 ) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f123]) ).

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( tl(cons(X1,X0)) = X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & neq(X1,nil)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | app(cons(X4,nil),X5) != X1
                          | app(X5,cons(X4,nil)) != X0 ) )
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( ~ ssList(X7)
                          | app(X7,cons(X6,nil)) = X2
                          | app(cons(X6,nil),X7) != X3 ) )
                  & ( nil = X2
                    | nil != X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & neq(X1,nil)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | app(cons(X4,nil),X5) != X1
                          | app(X5,cons(X4,nil)) != X0 ) )
                  & ! [X6] :
                      ( ~ ssItem(X6)
                      | ! [X7] :
                          ( ~ ssList(X7)
                          | app(X7,cons(X6,nil)) = X2
                          | app(cons(X6,nil),X7) != X3 ) )
                  & ( nil = X2
                    | nil != X3 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

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

fof(f310,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sK44(X0),sK43(X0)) = X0
      | nil = X0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f311,plain,
    ! [X0] :
      ( ssItem(sK44(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f312,plain,
    ! [X0] :
      ( ssList(sK43(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f124]) ).

fof(f314,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | hd(cons(X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | tl(cons(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f411,plain,
    ! [X4,X5] :
      ( app(X5,cons(X4,nil)) != sK47
      | app(cons(X4,nil),X5) != sK48
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f412,plain,
    ! [X6,X7] :
      ( app(cons(X6,nil),X7) != sK50
      | app(X7,cons(X6,nil)) = sK49
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    neq(sK48,nil),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f423,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f415,f417]) ).

fof(f424,plain,
    ! [X4,X5] :
      ( app(X5,cons(X4,nil)) != sK49
      | app(cons(X4,nil),X5) != sK50
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(definition_unfolding,[],[f411,f416,f417]) ).

fof(f439,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f304]) ).

fof(f454,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f439]) ).

fof(f462,definition,
    ( spl51_2
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f463,plain,
    ( nil = sK50
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( nil != sK50
    | spl51_2 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f466,plain,
    ! [X4,X5] :
      ( app(cons(X4,nil),X5) != sK50
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(forward_subsumption_resolution,[],[f424,f412]) ).

fof(f1029,plain,
    ( sK50 = cons(sK44(sK50),sK43(sK50))
    | nil = sK50 ),
    inference(resolution,[],[f310,f414]) ).

fof(f1077,definition,
    ( spl51_4
  <=> ssItem(sK44(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f1078,plain,
    ( ssItem(sK44(sK50))
    | ~ spl51_4 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1079,plain,
    ( ~ ssItem(sK44(sK50))
    | spl51_4 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1081,definition,
    ( spl51_5
  <=> ssList(sK43(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).

fof(f1082,plain,
    ( ssList(sK43(sK50))
    | ~ spl51_5 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1083,plain,
    ( ~ ssList(sK43(sK50))
    | spl51_5 ),
    inference(avatar_component_clause,[],[f1081]) ).

fof(f1091,plain,
    ( ~ ssList(sK50)
    | nil = sK50
    | spl51_4 ),
    inference(resolution,[],[f1079,f311]) ).

fof(f1092,plain,
    ( nil = sK50
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f1091,f414]) ).

fof(f1093,plain,
    ( $false
    | spl51_2
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f1092,f464]) ).

fof(f1094,plain,
    ( spl51_2
    | spl51_4 ),
    inference(avatar_contradiction_clause,[],[f1093]) ).

fof(f1096,plain,
    ( neq(nil,nil)
    | ~ spl51_2 ),
    inference(superposition,[],[f423,f463]) ).

fof(f1106,plain,
    ( ~ ssList(nil)
    | ~ spl51_2 ),
    inference(resolution,[],[f1096,f454]) ).

fof(f1107,plain,
    ( $false
    | ~ spl51_2 ),
    inference(forward_subsumption_resolution,[],[f1106,f306]) ).

fof(f1108,plain,
    ~ spl51_2,
    inference(avatar_contradiction_clause,[],[f1107]) ).

fof(f1109,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(sK44(sK50),X0)) = X0 )
    | ~ spl51_4 ),
    inference(resolution,[],[f1078,f317]) ).

fof(f1122,plain,
    ( ~ ssList(sK50)
    | nil = sK50
    | spl51_5 ),
    inference(resolution,[],[f1083,f312]) ).

fof(f1123,plain,
    ( nil = sK50
    | spl51_5 ),
    inference(forward_subsumption_resolution,[],[f1122,f414]) ).

fof(f1124,plain,
    ( $false
    | spl51_2
    | spl51_5 ),
    inference(forward_subsumption_resolution,[],[f1123,f464]) ).

fof(f1125,plain,
    ( spl51_2
    | spl51_5 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1134,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | hd(cons(X0,sK43(sK50))) = X0 )
    | ~ spl51_5 ),
    inference(resolution,[],[f1082,f315]) ).

fof(f1198,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),X1) = app(cons(hd(X0),nil),X1) ),
    inference(resolution,[],[f392,f314]) ).

fof(f1595,plain,
    ( sK43(sK50) = tl(cons(sK44(sK50),sK43(sK50)))
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(resolution,[],[f1109,f1082]) ).

fof(f1647,plain,
    ( sK44(sK50) = hd(cons(sK44(sK50),sK43(sK50)))
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(resolution,[],[f1134,f1078]) ).

fof(f1864,plain,
    ( sK50 = cons(sK44(sK50),sK43(sK50))
    | spl51_2 ),
    inference(forward_subsumption_resolution,[],[f1029,f464]) ).

fof(f1874,plain,
    ( hd(sK50) = sK44(sK50)
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f1647,f1864]) ).

fof(f1875,plain,
    ( tl(sK50) = sK43(sK50)
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f1595,f1864]) ).

fof(f2001,plain,
    ( ssItem(hd(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f1078,f1874]) ).

fof(f2042,plain,
    ( ssList(tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f1082,f1875]) ).

fof(f2057,plain,
    ( sK50 = cons(sK44(sK50),tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f1864,f1875]) ).

fof(f2060,plain,
    ( sK50 = cons(hd(sK50),tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_demodulation,[],[f2057,f1874]) ).

fof(f14759,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = sK50
      | cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) ),
    inference(resolution,[],[f1198,f414]) ).

fof(f14761,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) )
    | spl51_2 ),
    inference(forward_subsumption_resolution,[],[f14759,f464]) ).

fof(f45960,plain,
    ( cons(hd(sK50),sK43(sK50)) = app(cons(hd(sK50),nil),sK43(sK50))
    | spl51_2
    | ~ spl51_5 ),
    inference(resolution,[],[f14761,f1082]) ).

fof(f45965,plain,
    ( cons(hd(sK50),tl(sK50)) = app(cons(hd(sK50),nil),tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_demodulation,[],[f45960,f1875]) ).

fof(f45975,plain,
    ( sK50 = app(cons(hd(sK50),nil),tl(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_demodulation,[],[f45965,f2060]) ).

fof(f45978,plain,
    ( sK50 != sK50
    | ~ ssList(tl(sK50))
    | ~ ssItem(hd(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(superposition,[],[f466,f45975]) ).

fof(f46006,plain,
    ( ~ ssList(tl(sK50))
    | ~ ssItem(hd(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(trivial_inequality_removal,[],[f45978]) ).

fof(f46028,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_subsumption_resolution,[],[f46006,f2042]) ).

fof(f46031,plain,
    ( $false
    | spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(forward_subsumption_resolution,[],[f46028,f2001]) ).

fof(f46032,plain,
    ( spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(avatar_contradiction_clause,[],[f46031]) ).

cnf(s4,plain,
    ( spl51_2
    | spl51_4 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s5,plain,
    ~ spl51_2,
    inference(sat_conversion,[],[f1108]) ).

cnf(s6,plain,
    ( spl51_2
    | spl51_5 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s60,plain,
    ( spl51_2
    | ~ spl51_4
    | ~ spl51_5 ),
    inference(sat_conversion,[],[f46032]) ).

cnf(s75,plain,
    spl51_5,
    inference(rat,[],[s6,s5]) ).

cnf(s76,plain,
    ~ spl51_4,
    inference(rat,[],[s60,s5,s75]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s4,s76,s5]) ).

fof(f46034,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC309+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n026.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 09:02:57 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  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
% 14.71/2.35  % (3709203)Will run a generic schedule for satisfiability detection.
% 14.71/2.35  % (3709213)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1899058623:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.71/2.35  % (3709209)% WARNING: option uhcvi not known.
% 14.71/2.35  % (3709208)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3145365521_2999 on theBenchmark for (2999ds/0Mi)
% 14.71/2.35  % (3709209)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=315585118:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.71/2.35  % (3709210)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2150470722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.71/2.35  % (3709211)dis+10_1_sil=32000:sp=arity:random_seed=1906138030:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.71/2.35  % (3709212)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1222616961:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.71/2.35  % (3709214)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3023349013:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.71/2.35  % TRYING [1]
% 14.71/2.35  % TRYING [2]
% 14.71/2.35  % TRYING [3]
% 14.71/2.35  % (3709213)Instruction limit reached! 
% 14.71/2.35  % (3709213)------------------------------
% 14.71/2.35  % (3709213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.35  % (3709213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.35  % (3709213)CaDiCaL version: 2.1.3
% 14.71/2.35  % (3709213)Termination reason: Instruction limit
% 14.71/2.35  % (3709213)Termination phase: Saturation
% 14.71/2.35  % (3709213)Time elapsed: 0.043 s
% 14.71/2.35  % (3709213)Peak memory usage: 14 MB
% 14.71/2.35  % (3709213)Instructions burned: 133 (million)
% 14.71/2.35  % TRYING [4]
% 14.71/2.35  % (3709222)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2955084199:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.71/2.35  % TRYING [1]
% 14.71/2.35  % TRYING [2]
% 14.71/2.35  % TRYING [3]
% 14.71/2.35  % (3709211)Instruction limit reached! 
% 14.71/2.35  % (3709211)------------------------------
% 14.71/2.35  % (3709211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.35  % (3709211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.35  % (3709211)CaDiCaL version: 2.1.3
% 14.71/2.35  % (3709211)Termination reason: Instruction limit
% 14.71/2.35  % (3709211)Termination phase: Saturation
% 14.71/2.35  % (3709211)Time elapsed: 0.060 s
% 14.71/2.35  % (3709211)Peak memory usage: 13 MB
% 14.71/2.35  % (3709211)Instructions burned: 104 (million)
% 14.71/2.35  % TRYING [4]
% 14.71/2.35  % (3709212)Instruction limit reached! 
% 14.71/2.35  % (3709212)------------------------------
% 14.71/2.35  % (3709212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.35  % (3709212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.35  % (3709212)CaDiCaL version: 2.1.3
% 14.71/2.35  % (3709212)Termination reason: Instruction limit
% 14.71/2.35  % (3709212)Termination phase: Saturation
% 14.71/2.35  % (3709212)Time elapsed: 0.072 s
% 14.71/2.35  % (3709212)Peak memory usage: 13 MB
% 14.71/2.35  % (3709212)Instructions burned: 122 (million)
% 14.71/2.35  % (3709224)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3157386531:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.71/2.35  % TRYING [5]
% 14.71/2.35  % (3709225)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=2664221580:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.71/2.35  % TRYING [5]
% 14.71/2.35  % (3709214)Instruction limit reached! 
% 14.71/2.35  % (3709214)------------------------------
% 14.71/2.35  % (3709214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.35  % (3709214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.35  % (3709214)CaDiCaL version: 2.1.3
% 14.71/2.35  % (3709214)Termination reason: Instruction limit
% 14.71/2.35  % (3709214)Termination phase: Saturation
% 14.71/2.35  % (3709214)Time elapsed: 0.096 s
% 14.71/2.35  % (3709214)Peak memory usage: 15 MB
% 14.71/2.35  % (3709214)Instructions burned: 159 (million)
% 14.71/2.35  % (3709228)ott-21_1_sil=16000:fs=off:random_seed=3921578053:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.71/2.35  % (3709224)Instruction limit reached! 
% 14.71/2.35  % (3709224)------------------------------
% 14.71/2.35  % (3709224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709224)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709224)Termination reason: Instruction limit
% 10.58/2.61  % (3709224)Termination phase: Saturation
% 10.58/2.61  % (3709224)Time elapsed: 0.071 s
% 10.58/2.61  % (3709224)Peak memory usage: 13 MB
% 10.58/2.61  % (3709224)Instructions burned: 131 (million)
% 10.58/2.61  % (3709230)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1107571092:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.58/2.61  % TRYING [6]
% 10.58/2.61  % (3709222)Instruction limit reached! 
% 10.58/2.61  % (3709222)------------------------------
% 10.58/2.61  % (3709222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709222)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709222)Termination reason: Instruction limit
% 10.58/2.61  % (3709222)Termination phase: Finite model building constraint generation
% 10.58/2.61  % (3709222)Time elapsed: 0.157 s
% 10.58/2.61  % (3709222)Peak memory usage: 27 MB
% 10.58/2.61  % (3709222)Instructions burned: 716 (million)
% 10.58/2.61  % (3709228)Instruction limit reached! 
% 10.58/2.61  % (3709228)------------------------------
% 10.58/2.61  % (3709228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709228)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709228)Termination reason: Instruction limit
% 10.58/2.61  % (3709228)Termination phase: Saturation
% 10.58/2.61  % (3709228)Time elapsed: 0.093 s
% 10.58/2.61  % (3709228)Peak memory usage: 14 MB
% 10.58/2.61  % (3709228)Instructions burned: 181 (million)
% 10.58/2.61  % TRYING [6]
% 10.58/2.61  % (3709232)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=702364363:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.58/2.61  % TRYING [1]
% 10.58/2.61  % TRYING [2]
% 10.58/2.61  % (3709233)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2957506200:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.58/2.61  % TRYING [3]
% 10.58/2.61  % TRYING [4]
% 10.58/2.61  % TRYING [5]
% 10.58/2.61  % (3709232)Instruction limit reached! 
% 10.58/2.61  % (3709232)------------------------------
% 10.58/2.61  % (3709232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709232)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709232)Termination reason: Instruction limit
% 10.58/2.61  % (3709232)Termination phase: Finite model building SAT solving
% 10.58/2.61  % (3709232)Time elapsed: 0.182 s
% 10.58/2.61  % (3709232)Peak memory usage: 23 MB
% 10.58/2.61  % (3709232)Instructions burned: 867 (million)
% 10.58/2.61  % (3709236)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1443619336:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.58/2.61  % (3709225)Instruction limit reached! 
% 10.58/2.61  % (3709225)------------------------------
% 10.58/2.61  % (3709225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709225)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709225)Termination reason: Instruction limit
% 10.58/2.61  % (3709225)Termination phase: Saturation
% 10.58/2.61  % (3709225)Time elapsed: 0.371 s
% 10.58/2.61  % (3709225)Peak memory usage: 24 MB
% 10.58/2.61  % (3709225)Instructions burned: 684 (million)
% 10.58/2.61  % TRYING [14]
% 10.58/2.61  % (3709238)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1821577516:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 10.58/2.61  % TRYING [7]
% 10.58/2.61  % (3709230)Instruction limit reached! 
% 10.58/2.61  % (3709230)------------------------------
% 10.58/2.61  % (3709230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709230)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709230)Termination reason: Instruction limit
% 10.58/2.61  % (3709230)Termination phase: Saturation
% 10.58/2.61  % (3709230)Time elapsed: 0.330 s
% 10.58/2.61  % (3709230)Peak memory usage: 14 MB
% 10.58/2.61  % (3709230)Instructions burned: 477 (million)
% 10.58/2.61  % (3709240)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3199109184:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.58/2.61  % (3709236)Instruction limit reached! 
% 10.58/2.61  % (3709236)------------------------------
% 10.58/2.61  % (3709236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709236)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709236)Termination reason: Instruction limit
% 10.58/2.61  % (3709236)Termination phase: Finite model building constraint generation
% 10.58/2.61  % (3709236)Time elapsed: 0.177 s
% 10.58/2.61  % (3709236)Peak memory usage: 71 MB
% 10.58/2.61  % (3709236)Instructions burned: 891 (million)
% 10.58/2.61  % (3709242)fmb+10_1_sil=64000:random_seed=364190705:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.58/2.61  % TRYING [1]
% 10.58/2.61  % TRYING [2]
% 10.58/2.61  % TRYING [3]
% 10.58/2.61  % TRYING [4]
% 10.58/2.61  % TRYING [5]
% 10.58/2.61  % (3709233)Instruction limit reached! 
% 10.58/2.61  % (3709233)------------------------------
% 10.58/2.61  % (3709233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709233)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709233)Termination reason: Instruction limit
% 10.58/2.61  % (3709233)Termination phase: Saturation
% 10.58/2.61  % (3709233)Time elapsed: 0.629 s
% 10.58/2.61  % (3709233)Peak memory usage: 28 MB
% 10.58/2.61  % (3709233)Instructions burned: 1179 (million)
% 10.58/2.61  % (3709238)Instruction limit reached! 
% 10.58/2.61  % (3709238)------------------------------
% 10.58/2.61  % (3709238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709238)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709238)Termination reason: Instruction limit
% 10.58/2.61  % (3709238)Termination phase: Saturation
% 10.58/2.61  % (3709238)Time elapsed: 0.374 s
% 10.58/2.61  % (3709238)Peak memory usage: 22 MB
% 10.58/2.61  % (3709238)Instructions burned: 692 (million)
% 10.58/2.61  % TRYING [6]
% 10.58/2.61  % (3709244)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1182522092:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 10.58/2.61  % (3709245)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3188744753:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 10.58/2.61  % TRYING [20]
% 10.58/2.61  % TRYING [8]
% 10.58/2.61  % (3709240)Instruction limit reached! 
% 10.58/2.61  % (3709240)------------------------------
% 10.58/2.61  % (3709240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709240)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709240)Termination reason: Instruction limit
% 10.58/2.61  % (3709240)Termination phase: Saturation
% 10.58/2.61  % (3709240)Time elapsed: 0.469 s
% 10.58/2.61  % (3709240)Peak memory usage: 20 MB
% 10.58/2.61  % (3709240)Instructions burned: 880 (million)
% 10.58/2.61  % (3709248)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2678529885:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 10.58/2.61  % TRYING [8]
% 10.58/2.61  % (3709245)Instruction limit reached! 
% 10.58/2.61  % (3709245)------------------------------
% 10.58/2.61  % (3709245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709245)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709245)Termination reason: Instruction limit
% 10.58/2.61  % (3709245)Termination phase: Finite model building constraint generation
% 10.58/2.61  % (3709245)Time elapsed: 0.344 s
% 10.58/2.61  % (3709245)Peak memory usage: 75 MB
% 10.58/2.61  % (3709245)Instructions burned: 921 (million)
% 10.58/2.61  % (3709250)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1738973789:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 10.58/2.61  % TRYING [7]
% 10.58/2.61  % (3709250)Instruction limit reached! 
% 10.58/2.61  % (3709250)------------------------------
% 10.58/2.61  % (3709250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.61  % (3709250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.61  % (3709250)CaDiCaL version: 2.1.3
% 10.58/2.61  % (3709250)Termination reason: Instruction limit
% 10.58/2.61  % (3709250)Termination phase: Saturation
% 10.58/2.61  % (3709250)Time elapsed: 0.812 s
% 10.58/2.61  % (3709250)Peak memory usage: 30 MB
% 10.58/2.61  % (3709250)Instructions burned: 1473 (million)
% 10.58/2.61  % TRYING [8]
% 10.58/2.61  % (3709252)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=316650150:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 10.58/2.61  % TRYING [77]
% 10.58/2.61  % (3709248) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3709203-3709248"...
% 10.58/2.61  % (3709248)...printing done.
% 10.58/2.61  % (3709248)Refutation found. Thanks to Tanya!
% 10.58/2.61  % SZS status Theorem for theBenchmark
% 10.58/2.61  % SZS output start Proof for theBenchmark
% See solution above
% 10.58/2.62  % (3709248)------------------------------
% 10.58/2.62  % (3709248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.58/2.62  % (3709248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.58/2.62  % (3709248)CaDiCaL version: 2.1.3
% 10.58/2.62  % (3709248)Termination reason: Refutation
% 10.58/2.62  % (3709248)Time elapsed: 1.297 s
% 10.58/2.62  % (3709248)Peak memory usage: 33 MB
% 10.58/2.62  % (3709248)Instructions burned: 2398 (million)
% 10.58/2.62  % (3709203)Success in time 2.39 s
% 10.58/2.62  % Vampire exiting
%------------------------------------------------------------------------------