↑ 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  : SWV398+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 01:21:09 PM UTC 2026

% Result   : Theorem 43.63s 7.48s
% Output   : Refutation 43.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  106 (  19 unt;   6 def)
%            Number of atoms       :  268 (  57 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  268 ( 106   ~; 128   |;  15   &)
%                                         (   9 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   7 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  205 (   3 sgn 196   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

fof(f24,axiom,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax36) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X1 != create_slb
        & ~ contains_slb(X1,findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax47) ).

fof(f36,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax48) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax49) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l26_li4142) ).

fof(f43,axiom,
    ! [X0] :
      ( ? [X1,X2] :
          ( pair_in_list(X0,X1,X2)
          & strictly_less_than(X1,X2) )
     => ! [X3] :
        ? [X4,X5] :
          ( pair_in_list(update_slb(X0,X3),X4,X5)
          & strictly_less_than(X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_l35) ).

fof(f44,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_co) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( X1 != create_slb
        & ~ contains_slb(X1,findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f35]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f36]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(rectify,[],[f37]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | contains_slb(X1,findmin_pqp_res(X0)) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | contains_slb(X1,findmin_pqp_res(X0)) ),
    inference(flattening,[],[f70]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(flattening,[],[f72]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ),
    inference(flattening,[],[f74]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X1,X3,X4) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f78,plain,
    ! [X0] :
      ( ! [X3] :
        ? [X4,X5] :
          ( pair_in_list(update_slb(X0,X3),X4,X5)
          & strictly_less_than(X4,X5) )
      | ! [X1,X2] :
          ( ~ pair_in_list(X0,X1,X2)
          | ~ strictly_less_than(X1,X2) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f79,plain,
    ? [X0,X1,X2] :
      ( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ strictly_less_than(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f110,plain,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f24]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f130,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(X1,X3,X4)
      | less_than(X4,X3)
      | ~ check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( pair_in_list(X1,sK0(X1),sK1(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(sK1(X1),sK0(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X1,X2)
      | ~ pair_in_list(X0,X1,X2)
      | strictly_less_than(sK2(X0,X3),sK3(X0,X3)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X1,X2)
      | ~ pair_in_list(X0,X1,X2)
      | pair_in_list(update_slb(X0,X3),sK2(X0,X3),sK3(X0,X3)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f135,plain,
    ~ check_cpq(triple(sK4,sK5,sK6)),
    inference(cnf_transformation,[],[f79]) ).

fof(f136,plain,
    check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
    inference(cnf_transformation,[],[f79]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ contains_slb(X1,findmin_pqp_res(X0))
      | less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( less_than(sK1(X1),sK0(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ pair_in_list(X1,sK0(X1),sK1(X1))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ check_cpq(triple(X0,X1,X2))
      | ~ less_than(X4,X3)
      | pair_in_list(X1,X3,X4) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f168,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pair_in_list(update_slb(X0,X3),sK2(X0,X3),sK3(X0,X3))
      | pair_in_list(X0,X1,X2)
      | ~ strictly_less_than(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X1,X2)
      | pair_in_list(X0,X1,X2)
      | strictly_less_than(sK2(X0,X3),sK3(X0,X3)) ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | strictly_less_than(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f147,f145]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X1,X0,X2))
      | strictly_less_than(sK0(X0),sK1(X0)) ),
    inference(resolution,[],[f165,f171]) ).

fof(f176,plain,
    less_than(sK1(sK5),sK0(sK5)),
    inference(resolution,[],[f165,f135]) ).

fof(f177,plain,
    strictly_less_than(sK0(sK5),sK1(sK5)),
    inference(resolution,[],[f176,f171]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
      | pair_in_list(X0,sK0(sK5),sK1(sK5)) ),
    inference(resolution,[],[f169,f177]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(forward_subsumption_resolution,[],[f124,f123]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
      | create_slb = X0
      | findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
      | create_slb = X0
      | triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X0,X3)) ),
    inference(resolution,[],[f164,f123]) ).

fof(f389,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
      | create_slb = X0
      | findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
      | triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X0,X3)) ),
    inference(duplicate_literal_removal,[],[f387]) ).

fof(f919,plain,
    ! [X2,X3,X0,X1] :
      ( create_slb = X0
      | findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
      | triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X0,X3))
      | strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1))) ),
    inference(resolution,[],[f389,f171]) ).

fof(f929,plain,
    ! [X2,X3,X0,X1] :
      ( findmin_cpq_eff(triple(X1,X0,X2)) = triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2)
      | triple(X1,update_slb(X0,findmin_pqp_res(X1)),bad) = findmin_cpq_eff(triple(X1,X0,X3))
      | create_slb = X0 ),
    inference(forward_subsumption_resolution,[],[f919,f382]) ).

fof(f1534,plain,
    ! [X0,X1] :
      ( less_than(sK3(X0,X1),sK2(X0,X1))
      | pair_in_list(X0,sK0(sK5),sK1(sK5)) ),
    inference(resolution,[],[f207,f149]) ).

fof(f3449,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
      | ~ less_than(X3,X4)
      | pair_in_list(update_slb(X1,findmin_pqp_res(X0)),X4,X3)
      | triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X5))
      | create_slb = X1 ),
    inference(superposition,[],[f167,f929]) ).

fof(f5594,definition,
    ( spl7_13
  <=> create_slb = sK5 ),
    introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).

fof(f5595,plain,
    ( create_slb != sK5
    | spl7_13 ),
    inference(avatar_component_clause,[],[f5594]) ).

fof(f5596,plain,
    ( create_slb = sK5
    | ~ spl7_13 ),
    inference(avatar_component_clause,[],[f5594]) ).

fof(f5601,definition,
    ( spl7_15
  <=> ! [X0,X1] :
        ( ~ less_than(X0,X1)
        | pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).

fof(f5602,plain,
    ( ! [X0,X1] :
        ( pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X1,X0)
        | ~ less_than(X0,X1) )
    | ~ spl7_15 ),
    inference(avatar_component_clause,[],[f5601]) ).

fof(f5619,plain,
    ( ~ check_cpq(triple(sK4,create_slb,sK6))
    | ~ spl7_13 ),
    inference(superposition,[],[f135,f5596]) ).

fof(f5692,plain,
    ( $false
    | ~ spl7_13 ),
    inference(forward_subsumption_resolution,[],[f5619,f110]) ).

fof(f5693,plain,
    ~ spl7_13,
    inference(avatar_contradiction_clause,[],[f5692]) ).

fof(f6881,plain,
    ( ! [X0,X1] :
        ( ~ less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
        | pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) )
    | ~ spl7_15 ),
    inference(resolution,[],[f5602,f168]) ).

fof(f6887,definition,
    ( spl7_17
  <=> ! [X0,X1] :
        ( pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).

fof(f6888,plain,
    ( ! [X0,X1] :
        ( pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) )
    | ~ spl7_17 ),
    inference(avatar_component_clause,[],[f6887]) ).

fof(f6890,definition,
    ( spl7_18
  <=> less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4))) ),
    introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).

fof(f6891,plain,
    ( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
    | ~ spl7_18 ),
    inference(avatar_component_clause,[],[f6890]) ).

fof(f6892,plain,
    ( ~ less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
    | spl7_18 ),
    inference(avatar_component_clause,[],[f6890]) ).

fof(f6990,definition,
    ( spl7_19
  <=> ! [X1] : triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad) = findmin_cpq_eff(triple(sK4,sK5,X1)) ),
    introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).

fof(f6991,plain,
    ( ! [X1] : triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad) = findmin_cpq_eff(triple(sK4,sK5,X1))
    | ~ spl7_19 ),
    inference(avatar_component_clause,[],[f6990]) ).

fof(f7011,plain,
    ( pair_in_list(sK5,sK0(sK5),sK1(sK5))
    | spl7_18 ),
    inference(resolution,[],[f6892,f1534]) ).

fof(f7438,plain,
    ( ! [X0,X1] : check_cpq(triple(X0,sK5,X1))
    | spl7_18 ),
    inference(resolution,[],[f7011,f166]) ).

fof(f7548,plain,
    ( $false
    | spl7_18 ),
    inference(backward_subsumption_resolution,[],[f135,f7438]) ).

fof(f7551,plain,
    spl7_18,
    inference(avatar_contradiction_clause,[],[f7548]) ).

fof(f15513,plain,
    ( ! [X0,X1] :
        ( pair_in_list(sK5,X0,X1)
        | ~ strictly_less_than(X0,X1) )
    | ~ spl7_15
    | ~ spl7_18 ),
    inference(forward_subsumption_resolution,[],[f6881,f6891]) ).

fof(f15526,plain,
    ( spl7_17
    | ~ spl7_15
    | ~ spl7_18 ),
    inference(avatar_split_clause,[],[f15513,f6890,f5601,f6887]) ).

fof(f15650,plain,
    ( ! [X0,X1] :
        ( ~ strictly_less_than(sK0(sK5),sK1(sK5))
        | check_cpq(triple(X0,sK5,X1)) )
    | ~ spl7_17 ),
    inference(resolution,[],[f6888,f166]) ).

fof(f15653,plain,
    ( ! [X0,X1] : check_cpq(triple(X0,sK5,X1))
    | ~ spl7_17 ),
    inference(forward_subsumption_resolution,[],[f15650,f173]) ).

fof(f15654,plain,
    ( $false
    | ~ spl7_17 ),
    inference(backward_subsumption_resolution,[],[f135,f15653]) ).

fof(f15657,plain,
    ~ spl7_17,
    inference(avatar_contradiction_clause,[],[f15654]) ).

fof(f63535,plain,
    ! [X2,X0,X1] :
      ( ~ less_than(X0,X1)
      | pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X1,X0)
      | triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad) = findmin_cpq_eff(triple(sK4,sK5,X2))
      | create_slb = sK5 ),
    inference(resolution,[],[f3449,f136]) ).

fof(f63631,plain,
    ( ! [X2,X0,X1] :
        ( ~ less_than(X0,X1)
        | pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X1,X0)
        | triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad) = findmin_cpq_eff(triple(sK4,sK5,X2)) )
    | spl7_13 ),
    inference(forward_subsumption_resolution,[],[f63535,f5595]) ).

fof(f63636,plain,
    ( spl7_19
    | spl7_15
    | spl7_13 ),
    inference(avatar_split_clause,[],[f63631,f5594,f5601,f6990]) ).

fof(f194672,plain,
    ( ! [X2,X0,X1] :
        ( ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,X0)))
        | ~ less_than(X1,X2)
        | pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X2,X1) )
    | ~ spl7_19 ),
    inference(superposition,[],[f167,f6991]) ).

fof(f195738,definition,
    ( spl7_1445
  <=> ! [X0] : ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,X0))) ),
    introduced(definition,[new_symbols(definition,[spl7_1445])],[avatar_definition]) ).

fof(f195739,plain,
    ( ! [X0] : ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,X0)))
    | ~ spl7_1445 ),
    inference(avatar_component_clause,[],[f195738]) ).

fof(f195740,plain,
    ( spl7_15
    | spl7_1445
    | ~ spl7_19 ),
    inference(avatar_split_clause,[],[f194672,f6990,f195738,f5601]) ).

fof(f198036,plain,
    ( $false
    | ~ spl7_1445 ),
    inference(backward_subsumption_resolution,[],[f136,f195739]) ).

fof(f198099,plain,
    ~ spl7_1445,
    inference(avatar_contradiction_clause,[],[f198036]) ).

cnf(s27,plain,
    ~ spl7_13,
    inference(sat_conversion,[],[f5693]) ).

cnf(s73,plain,
    spl7_18,
    inference(sat_conversion,[],[f7551]) ).

cnf(s154,plain,
    ( ~ spl7_15
    | spl7_17
    | ~ spl7_18 ),
    inference(sat_conversion,[],[f15526]) ).

cnf(s214,plain,
    ~ spl7_17,
    inference(sat_conversion,[],[f15657]) ).

cnf(s2666,plain,
    ( spl7_13
    | spl7_15
    | spl7_19 ),
    inference(sat_conversion,[],[f63636]) ).

cnf(s10128,plain,
    ( spl7_15
    | ~ spl7_19
    | spl7_1445 ),
    inference(sat_conversion,[],[f195740]) ).

cnf(s10252,plain,
    ~ spl7_1445,
    inference(sat_conversion,[],[f198099]) ).

cnf(s10276,plain,
    ( spl7_15
    | ~ spl7_19 ),
    inference(rat,[],[s10128,s10252]) ).

cnf(s10390,plain,
    ( ~ spl7_15
    | ~ spl7_18 ),
    inference(rat,[],[s154,s214]) ).

cnf(s10392,plain,
    ~ spl7_15,
    inference(rat,[],[s10390,s73]) ).

cnf(s10395,plain,
    ~ spl7_19,
    inference(rat,[],[s10276,s10392]) ).

cnf(s10396,plain,
    spl7_13,
    inference(rat,[],[s2666,s10395,s10392]) ).

cnf(s10465,plain,
    $false,
    inference(rat,[],[s27,s10396]) ).

fof(f198151,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10465]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV398+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n011.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 10:50:16 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.43/2.41  % (3314350)Will run a generic schedule for satisfiability detection.
% 15.43/2.41  % (3314356)% WARNING: option uhcvi not known.
% 15.43/2.41  % (3314356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1152481003:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.43/2.41  % (3314355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=991905669_2999 on theBenchmark for (2999ds/0Mi)
% 15.43/2.41  % (3314357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3323446714:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.43/2.41  % (3314358)dis+10_1_sil=32000:sp=arity:random_seed=3219057203:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.43/2.41  % (3314359)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1576732231:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.43/2.41  % (3314361)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3631211974:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.43/2.41  % (3314360)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2599240999:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.43/2.41  % TRYING [1]
% 15.43/2.41  % TRYING [2]
% 15.43/2.41  % TRYING [3]
% 15.43/2.41  % TRYING [4]
% 15.43/2.41  % (3314359)Instruction limit reached! 
% 15.43/2.41  % (3314359)------------------------------
% 15.43/2.41  % (3314359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.41  % (3314359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.41  % (3314359)CaDiCaL version: 2.1.3
% 15.43/2.41  % (3314359)Termination reason: Instruction limit
% 15.43/2.41  % (3314359)Termination phase: Saturation
% 15.43/2.41  % (3314359)Time elapsed: 0.059 s
% 15.43/2.41  % (3314359)Peak memory usage: 11 MB
% 15.43/2.41  % (3314359)Instructions burned: 116 (million)
% 15.43/2.41  % (3314358)Instruction limit reached! 
% 15.43/2.41  % (3314358)------------------------------
% 15.43/2.41  % (3314358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.41  % (3314358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.41  % (3314358)CaDiCaL version: 2.1.3
% 15.43/2.41  % (3314358)Termination reason: Instruction limit
% 15.43/2.41  % (3314358)Termination phase: Saturation
% 15.43/2.41  % (3314358)Time elapsed: 0.060 s
% 15.43/2.41  % (3314358)Peak memory usage: 12 MB
% 15.43/2.41  % (3314358)Instructions burned: 104 (million)
% 15.43/2.41  % (3314361)Instruction limit reached! 
% 15.43/2.41  % (3314361)------------------------------
% 15.43/2.41  % (3314361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.41  % (3314361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.41  % (3314361)CaDiCaL version: 2.1.3
% 15.43/2.41  % (3314361)Termination reason: Instruction limit
% 15.43/2.41  % (3314361)Termination phase: Saturation
% 15.43/2.41  % (3314361)Time elapsed: 0.065 s
% 15.43/2.41  % (3314361)Peak memory usage: 12 MB
% 15.43/2.41  % (3314361)Instructions burned: 159 (million)
% 15.43/2.41  % (3314360)Instruction limit reached! 
% 15.43/2.41  % (3314360)------------------------------
% 15.43/2.41  % (3314360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.41  % (3314360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.41  % (3314360)CaDiCaL version: 2.1.3
% 15.43/2.41  % (3314360)Termination reason: Instruction limit
% 15.43/2.41  % (3314360)Termination phase: Saturation
% 15.43/2.41  % (3314360)Time elapsed: 0.078 s
% 15.43/2.41  % (3314360)Peak memory usage: 13 MB
% 15.43/2.41  % (3314360)Instructions burned: 132 (million)
% 15.43/2.41  % (3314369)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3417766354:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.43/2.41  % (3314370)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1741706591:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.43/2.41  % (3314371)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=4126440649:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.43/2.41  % TRYING [1]
% 15.43/2.41  % TRYING [2]
% 15.43/2.41  % TRYING [3]
% 15.43/2.41  % (3314373)ott-21_1_sil=16000:fs=off:random_seed=2262980083:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.43/2.41  % TRYING [5]
% 15.43/2.41  % TRYING [4]
% 15.43/2.41  % (3314370)Instruction limit reached! 
% 15.43/2.41  % (3314370)------------------------------
% 15.43/2.41  % (3314370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314370)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314370)Termination reason: Instruction limit
% 43.77/6.41  % (3314370)Termination phase: Saturation
% 43.77/6.41  % (3314370)Time elapsed: 0.082 s
% 43.77/6.41  % (3314370)Peak memory usage: 13 MB
% 43.77/6.41  % (3314370)Instructions burned: 132 (million)
% 43.77/6.41  % (3314377)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=39025131:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 43.77/6.41  % (3314373)Instruction limit reached! 
% 43.77/6.41  % (3314373)------------------------------
% 43.77/6.41  % (3314373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314373)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314373)Termination reason: Instruction limit
% 43.77/6.41  % (3314373)Termination phase: Saturation
% 43.77/6.41  % (3314373)Time elapsed: 0.086 s
% 43.77/6.41  % (3314373)Peak memory usage: 12 MB
% 43.77/6.41  % (3314373)Instructions burned: 181 (million)
% 43.77/6.41  % (3314379)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1234016057:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.77/6.41  % TRYING [1]
% 43.77/6.41  % TRYING [2]
% 43.77/6.41  % TRYING [3]
% 43.77/6.41  % TRYING [5]
% 43.77/6.41  % TRYING [4]
% 43.77/6.41  % TRYING [6]
% 43.77/6.41  % (3314369)Instruction limit reached! 
% 43.77/6.41  % (3314369)------------------------------
% 43.77/6.41  % (3314369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314369)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314369)Termination reason: Instruction limit
% 43.77/6.41  % (3314369)Termination phase: Finite model building constraint generation
% 43.77/6.41  % (3314369)Time elapsed: 0.272 s
% 43.77/6.41  % (3314369)Peak memory usage: 31 MB
% 43.77/6.41  % (3314369)Instructions burned: 715 (million)
% 43.77/6.41  % (3314381)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3026885065:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 43.77/6.41  % (3314371)Instruction limit reached! 
% 43.77/6.41  % (3314371)------------------------------
% 43.77/6.41  % (3314371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314371)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314371)Termination reason: Instruction limit
% 43.77/6.41  % (3314371)Termination phase: Saturation
% 43.77/6.41  % (3314371)Time elapsed: 0.295 s
% 43.77/6.41  % (3314371)Peak memory usage: 13 MB
% 43.77/6.41  % (3314371)Instructions burned: 686 (million)
% 43.77/6.41  % (3314383)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=829610789:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 43.77/6.41  % TRYING [5]
% 43.77/6.41  % (3314377)Instruction limit reached! 
% 43.77/6.41  % (3314377)------------------------------
% 43.77/6.41  % (3314377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314377)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314377)Termination reason: Instruction limit
% 43.77/6.41  % (3314377)Termination phase: Saturation
% 43.77/6.41  % (3314377)Time elapsed: 0.288 s
% 43.77/6.41  % (3314377)Peak memory usage: 14 MB
% 43.77/6.41  % (3314377)Instructions burned: 477 (million)
% 43.77/6.41  % (3314385)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=95651784: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)
% 43.77/6.41  % (3314379)Instruction limit reached! 
% 43.77/6.41  % (3314379)------------------------------
% 43.77/6.41  % (3314379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.77/6.41  % (3314379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.77/6.41  % (3314379)CaDiCaL version: 2.1.3
% 43.77/6.41  % (3314379)Termination reason: Instruction limit
% 43.77/6.41  % (3314379)Termination phase: Finite model building constraint generation
% 43.77/6.41  % (3314379)Time elapsed: 0.316 s
% 43.77/6.41  % (3314379)Peak memory usage: 27 MB
% 43.77/6.41  % (3314379)Instructions burned: 865 (million)
% 43.77/6.41  % (3314387)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3689837895:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 43.77/6.41  % (3314383)Instruction limit reached! 
% 43.63/7.48  % (3314383)------------------------------
% 43.63/7.48  % (3314383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314383)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314383)Termination reason: Instruction limit
% 43.63/7.48  % (3314383)Termination phase: Finite model building constraint generation
% 43.63/7.48  % (3314383)Time elapsed: 0.413 s
% 43.63/7.48  % (3314383)Peak memory usage: 107 MB
% 43.63/7.48  % (3314383)Instructions burned: 889 (million)
% 43.63/7.48  % (3314389)fmb+10_1_sil=64000:random_seed=601139998:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 43.63/7.48  % TRYING [1]
% 43.63/7.48  % TRYING [2]
% 43.63/7.48  % TRYING [3]
% 43.63/7.48  % (3314385)Instruction limit reached! 
% 43.63/7.48  % (3314385)------------------------------
% 43.63/7.48  % (3314385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314385)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314385)Termination reason: Instruction limit
% 43.63/7.48  % (3314385)Termination phase: Saturation
% 43.63/7.48  % (3314385)Time elapsed: 0.415 s
% 43.63/7.48  % (3314385)Peak memory usage: 22 MB
% 43.63/7.48  % (3314385)Instructions burned: 692 (million)
% 43.63/7.48  % (3314391)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3585374876:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 43.63/7.48  % TRYING [4]
% 43.63/7.48  % TRYING [20]
% 43.63/7.48  % (3314387)Instruction limit reached! 
% 43.63/7.48  % (3314387)------------------------------
% 43.63/7.48  % (3314387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314387)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314387)Termination reason: Instruction limit
% 43.63/7.48  % (3314387)Termination phase: Saturation
% 43.63/7.48  % (3314387)Time elapsed: 0.518 s
% 43.63/7.48  % (3314387)Peak memory usage: 18 MB
% 43.63/7.48  % (3314387)Instructions burned: 879 (million)
% 43.63/7.48  % (3314381)Instruction limit reached! 
% 43.63/7.48  % (3314381)------------------------------
% 43.63/7.48  % (3314381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314381)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314381)Termination reason: Instruction limit
% 43.63/7.48  % (3314381)Termination phase: Saturation
% 43.63/7.48  % (3314381)Time elapsed: 0.686 s
% 43.63/7.48  % (3314381)Peak memory usage: 19 MB
% 43.63/7.48  % (3314381)Instructions burned: 1180 (million)
% 43.63/7.48  % (3314393)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=627499677:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 43.63/7.48  % (3314394)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2919206877:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 43.63/7.48  % TRYING [8]
% 43.63/7.48  % TRYING [5]
% 43.63/7.48  % TRYING [7]
% 43.63/7.48  % (3314393)Instruction limit reached! 
% 43.63/7.48  % (3314393)------------------------------
% 43.63/7.48  % (3314393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314393)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314393)Termination reason: Instruction limit
% 43.63/7.48  % (3314393)Termination phase: Finite model building constraint generation
% 43.63/7.48  % (3314393)Time elapsed: 0.310 s
% 43.63/7.48  % (3314393)Peak memory usage: 64 MB
% 43.63/7.48  % (3314393)Instructions burned: 921 (million)
% 43.63/7.48  % (3314397)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=720166331:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 43.63/7.48  % TRYING [6]
% 43.63/7.48  % (3314397)Instruction limit reached! 
% 43.63/7.48  % (3314397)------------------------------
% 43.63/7.48  % (3314397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314397)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314397)Termination reason: Instruction limit
% 43.63/7.48  % (3314397)Termination phase: Saturation
% 43.63/7.48  % (3314397)Time elapsed: 0.705 s
% 43.63/7.48  % (3314397)Peak memory usage: 14 MB
% 43.63/7.48  % (3314397)Instructions burned: 1472 (million)
% 43.63/7.48  % (3314399)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=641293384:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 43.63/7.48  % (3314399)Cannot represent all propositional literals internally
% 43.63/7.48  % (3314399)Refutation not found, incomplete strategy
% 43.63/7.48  % (3314399)------------------------------
% 43.63/7.48  % (3314399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314399)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314399)Termination reason: Refutation not found, incomplete strategy
% 43.63/7.48  % (3314399)Time elapsed: 0.007 s
% 43.63/7.48  % (3314399)Peak memory usage: 11 MB
% 43.63/7.48  % (3314399)Instructions burned: 12 (million)
% 43.63/7.48  % (3314399)------------------------------
% 43.63/7.48  % (3314399)------------------------------
% 43.63/7.48  % (3314401)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1134963514:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 43.63/7.48  % TRYING [16]
% 43.63/7.48  % (3314401)Instruction limit reached! 
% 43.63/7.48  % (3314401)------------------------------
% 43.63/7.48  % (3314401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314401)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314401)Termination reason: Instruction limit
% 43.63/7.48  % (3314401)Termination phase: Finite model building constraint generation
% 43.63/7.48  % (3314401)Time elapsed: 0.741 s
% 43.63/7.48  % (3314401)Peak memory usage: 137 MB
% 43.63/7.48  % (3314401)Instructions burned: 2176 (million)
% 43.63/7.48  % (3314403)ott-2_1_sil=16000:newcnf=on:random_seed=636089278:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 43.63/7.48  % TRYING [8]
% 43.63/7.48  % (3314403)Instruction limit reached! 
% 43.63/7.48  % (3314403)------------------------------
% 43.63/7.48  % (3314403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314403)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314403)Termination reason: Instruction limit
% 43.63/7.48  % (3314403)Termination phase: Saturation
% 43.63/7.48  % (3314403)Time elapsed: 0.491 s
% 43.63/7.48  % (3314403)Peak memory usage: 16 MB
% 43.63/7.48  % (3314403)Instructions burned: 870 (million)
% 43.63/7.48  % (3314405)ott+10_1_sil=32000:tgt=ground:random_seed=1892044101:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 43.63/7.48  % (3314394)Instruction limit reached! 
% 43.63/7.48  % (3314394)------------------------------
% 43.63/7.48  % (3314394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314394)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314394)Termination reason: Instruction limit
% 43.63/7.48  % (3314394)Termination phase: Saturation
% 43.63/7.48  % (3314394)Time elapsed: 2.727 s
% 43.63/7.48  % (3314394)Peak memory usage: 27 MB
% 43.63/7.48  % (3314394)Instructions burned: 5131 (million)
% 43.63/7.48  % (3314407)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=345563371:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 43.63/7.48  % TRYING [1]
% 43.63/7.48  % TRYING [2]
% 43.63/7.48  % TRYING [3]
% 43.63/7.48  % TRYING [4]
% 43.63/7.48  % TRYING [5]
% 43.63/7.48  % TRYING [7]
% 43.63/7.48  % TRYING [6]
% 43.63/7.48  % (3314391)Instruction limit reached! 
% 43.63/7.48  % (3314391)------------------------------
% 43.63/7.48  % (3314391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314391)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314391)Termination reason: Instruction limit
% 43.63/7.48  % (3314391)Termination phase: Finite model building constraint generation
% 43.63/7.48  % (3314391)Time elapsed: 3.269 s
% 43.63/7.48  % (3314391)Peak memory usage: 523 MB
% 43.63/7.48  % (3314391)Instructions burned: 9518 (million)
% 43.63/7.48  % (3314409)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2420097879:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 43.63/7.48  % TRYING [7]
% 43.63/7.48  % (3314409)Instruction limit reached! 
% 43.63/7.48  % (3314409)------------------------------
% 43.63/7.48  % (3314409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314409)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314409)Termination reason: Instruction limit
% 43.63/7.48  % (3314409)Termination phase: Saturation
% 43.63/7.48  % (3314409)Time elapsed: 1.868 s
% 43.63/7.48  % (3314409)Peak memory usage: 22 MB
% 43.63/7.48  % (3314409)Instructions burned: 3513 (million)
% 43.63/7.48  % (3314411)dis+21_1_sil=32000:sas=cadical:random_seed=879827655:i=3773:amm=off_2938 on theBenchmark for (2938ds/3773Mi)
% 43.63/7.48  % (3314405)Instruction limit reached! 
% 43.63/7.48  % (3314405)------------------------------
% 43.63/7.48  % (3314405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314405)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314405)Termination reason: Instruction limit
% 43.63/7.48  % (3314405)Termination phase: Saturation
% 43.63/7.48  % (3314405)Time elapsed: 2.757 s
% 43.63/7.48  % (3314405)Peak memory usage: 21 MB
% 43.63/7.48  % (3314405)Instructions burned: 5115 (million)
% 43.63/7.48  % (3314413)ott+11_1_sil=16000:gs=on:random_seed=3914273920:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2937 on theBenchmark for (2937ds/2251Mi)
% 43.63/7.48  % (3314356) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3314350-3314356"...
% 43.63/7.48  % (3314356)...printing done.
% 43.63/7.48  % (3314356)Refutation found. Thanks to Tanya!
% 43.63/7.48  % SZS status Theorem for theBenchmark
% 43.63/7.48  % SZS output start Proof for theBenchmark
% See solution above
% 43.63/7.48  % (3314356)------------------------------
% 43.63/7.48  % (3314356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.63/7.48  % (3314356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.63/7.48  % (3314356)CaDiCaL version: 2.1.3
% 43.63/7.48  % (3314356)Termination reason: Refutation
% 43.63/7.48  % (3314356)Time elapsed: 7.148 s
% 43.63/7.48  % (3314356)Peak memory usage: 67 MB
% 43.63/7.48  % (3314356)Instructions burned: 24280 (million)
% 43.63/7.48  % (3314350)Success in time 7.262 s
% 43.63/7.48  % Vampire exiting
%------------------------------------------------------------------------------