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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL488+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 11:58:47 AM UTC 2026

% Result   : Theorem 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  125 (  44 unt;  16 def)
%            Number of atoms       :  261 (  23 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  246 ( 110   ~; 104   |;   2   &)
%                                         (  20 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   27 (  25 usr;  25 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  101 (   0 sgn  99   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( modus_ponens
  <=> ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).

fof(f8,axiom,
    ( and_2
  <=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',and_2) ).

fof(f23,axiom,
    ( r2
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r2) ).

fof(f24,axiom,
    ( r3
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',r3) ).

fof(f27,axiom,
    ( op_or
   => ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_or) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_and) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_or) ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_op_implies_or) ).

fof(f33,axiom,
    op_and,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_op_and) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_modus_ponens) ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_r2) ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax',principia_r3) ).

fof(f42,axiom,
    op_or,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(f43,axiom,
    op_implies_and,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f45,conjecture,
    and_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hilbert_and_2) ).

fof(f46,negated_conjecture,
    ~ and_2,
    inference(negated_conjecture,[status(cth)],[f45]) ).

fof(f47,plain,
    ~ and_2,
    inference(flattening,[],[f46]) ).

fof(f50,plain,
    ( r3
   => ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f24]) ).

fof(f51,plain,
    ( r2
   => ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f23]) ).

fof(f53,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
   => and_2 ),
    inference(unused_predicate_definition_removal,[],[f8]) ).

fof(f55,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(X0)
          & is_a_theorem(implies(X0,X1)) )
       => is_a_theorem(X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f56,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f55]) ).

fof(f57,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) )
    | ~ modus_ponens ),
    inference(flattening,[],[f56]) ).

fof(f59,plain,
    ( and_2
    | ? [X0,X1] : ~ is_a_theorem(implies(and(X0,X1),X1)) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f61,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ r2 ),
    inference(ennf_transformation,[],[f51]) ).

fof(f62,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ r3 ),
    inference(ennf_transformation,[],[f50]) ).

fof(f65,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f27]) ).

fof(f66,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f67,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f68,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ op_implies_or ),
    inference(ennf_transformation,[],[f30]) ).

fof(f70,plain,
    ( and_2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f59]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens ),
    inference(cnf_transformation,[],[f57]) ).

fof(f73,plain,
    ( and_2
    | ~ is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,or(X0,X1)))
      | ~ r2 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(or(X0,X1),or(X1,X0)))
      | ~ r3 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f65]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f66]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = not(and(X0,not(X1)))
      | ~ op_implies_and ),
    inference(cnf_transformation,[],[f67]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f68]) ).

fof(f84,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f85,plain,
    op_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f87,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f89,plain,
    r2,
    inference(cnf_transformation,[],[f37]) ).

fof(f90,plain,
    r3,
    inference(cnf_transformation,[],[f38]) ).

fof(f94,plain,
    op_or,
    inference(cnf_transformation,[],[f42]) ).

fof(f95,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f43]) ).

fof(f97,plain,
    ~ and_2,
    inference(cnf_transformation,[],[f47]) ).

fof(f107,definition,
    ( spl2_3
  <=> op_implies_or ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

fof(f111,definition,
    ( spl2_4
  <=> ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

fof(f112,plain,
    ( ! [X0,X1] : implies(X0,X1) = or(not(X0),X1)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f113,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f82,f111,f107]) ).

fof(f115,definition,
    ( spl2_5
  <=> op_implies_and ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

fof(f119,definition,
    ( spl2_6
  <=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

fof(f120,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f121,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(avatar_split_clause,[],[f81,f119,f115]) ).

fof(f123,definition,
    ( spl2_7
  <=> op_and ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f127,definition,
    ( spl2_8
  <=> ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

fof(f128,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f129,plain,
    ( ~ spl2_7
    | spl2_8 ),
    inference(avatar_split_clause,[],[f80,f127,f123]) ).

fof(f131,definition,
    ( spl2_9
  <=> op_or ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

fof(f135,definition,
    ( spl2_10
  <=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

fof(f136,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f137,plain,
    ( ~ spl2_9
    | spl2_10 ),
    inference(avatar_split_clause,[],[f79,f135,f131]) ).

fof(f155,definition,
    ( spl2_15
  <=> r3 ),
    introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).

fof(f159,definition,
    ( spl2_16
  <=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
    introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).

fof(f160,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f161,plain,
    ( ~ spl2_15
    | spl2_16 ),
    inference(avatar_split_clause,[],[f76,f159,f155]) ).

fof(f163,definition,
    ( spl2_17
  <=> r2 ),
    introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).

fof(f167,definition,
    ( spl2_18
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    introduced(definition,[new_symbols(definition,[spl2_18])],[avatar_definition]) ).

fof(f168,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f169,plain,
    ( ~ spl2_17
    | spl2_18 ),
    inference(avatar_split_clause,[],[f75,f167,f163]) ).

fof(f179,definition,
    ( spl2_21
  <=> is_a_theorem(implies(and(sK0,sK1),sK1)) ),
    introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).

fof(f181,plain,
    ( ~ is_a_theorem(implies(and(sK0,sK1),sK1))
    | spl2_21 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f183,definition,
    ( spl2_22
  <=> and_2 ),
    introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).

fof(f186,plain,
    ( ~ spl2_21
    | spl2_22 ),
    inference(avatar_split_clause,[],[f73,f183,f179]) ).

fof(f196,definition,
    ( spl2_25
  <=> modus_ponens ),
    introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).

fof(f200,definition,
    ( spl2_26
  <=> ! [X0,X1] :
        ( is_a_theorem(X1)
        | ~ is_a_theorem(X0)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).

fof(f201,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) )
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f202,plain,
    ( ~ spl2_25
    | spl2_26 ),
    inference(avatar_split_clause,[],[f71,f200,f196]) ).

fof(f203,plain,
    ~ spl2_22,
    inference(avatar_split_clause,[],[f97,f183]) ).

fof(f204,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f84,f107]) ).

fof(f205,plain,
    spl2_7,
    inference(avatar_split_clause,[],[f85,f123]) ).

fof(f207,plain,
    spl2_25,
    inference(avatar_split_clause,[],[f87,f196]) ).

fof(f209,plain,
    spl2_17,
    inference(avatar_split_clause,[],[f89,f163]) ).

fof(f210,plain,
    spl2_15,
    inference(avatar_split_clause,[],[f90,f155]) ).

fof(f214,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f94,f131]) ).

fof(f215,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f95,f115]) ).

fof(f216,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,implies(X0,X1)))
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(superposition,[],[f168,f112]) ).

fof(f223,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(or(X0,X1))
        | is_a_theorem(or(X1,X0)) )
    | ~ spl2_16
    | ~ spl2_26 ),
    inference(resolution,[],[f201,f160]) ).

fof(f227,plain,
    ( ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1)))
    | ~ spl2_4
    | ~ spl2_8 ),
    inference(forward_demodulation,[],[f128,f112]) ).

fof(f236,plain,
    ( ! [X0,X1] : or(X0,X1) = implies(not(X0),X1)
    | ~ spl2_6
    | ~ spl2_10 ),
    inference(forward_demodulation,[],[f136,f120]) ).

fof(f238,plain,
    ( ! [X2,X0,X1] : or(implies(X0,not(X1)),X2) = implies(and(X0,X1),X2)
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10 ),
    inference(superposition,[],[f236,f227]) ).

fof(f242,plain,
    ( ! [X0,X1] : is_a_theorem(or(X0,implies(X1,not(X0))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_18 ),
    inference(superposition,[],[f216,f236]) ).

fof(f276,plain,
    ( ! [X0,X1] : is_a_theorem(or(implies(X0,not(X1)),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_16
    | ~ spl2_18
    | ~ spl2_26 ),
    inference(resolution,[],[f223,f242]) ).

fof(f439,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_16
    | ~ spl2_18
    | ~ spl2_26 ),
    inference(superposition,[],[f276,f238]) ).

fof(f488,plain,
    ( $false
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_16
    | ~ spl2_18
    | spl2_21
    | ~ spl2_26 ),
    inference(resolution,[],[f439,f181]) ).

fof(f492,plain,
    ( ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_16
    | ~ spl2_18
    | spl2_21
    | ~ spl2_26 ),
    inference(avatar_contradiction_clause,[],[f488]) ).

cnf(s2,plain,
    ( ~ spl2_3
    | spl2_4 ),
    inference(sat_conversion,[],[f113]) ).

cnf(s3,plain,
    ( ~ spl2_5
    | spl2_6 ),
    inference(sat_conversion,[],[f121]) ).

cnf(s4,plain,
    ( ~ spl2_7
    | spl2_8 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s5,plain,
    ( ~ spl2_9
    | spl2_10 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s8,plain,
    ( ~ spl2_15
    | spl2_16 ),
    inference(sat_conversion,[],[f161]) ).

cnf(s9,plain,
    ( ~ spl2_17
    | spl2_18 ),
    inference(sat_conversion,[],[f169]) ).

cnf(s11,plain,
    ( ~ spl2_21
    | spl2_22 ),
    inference(sat_conversion,[],[f186]) ).

cnf(s13,plain,
    ( ~ spl2_25
    | spl2_26 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s14,plain,
    ~ spl2_22,
    inference(sat_conversion,[],[f203]) ).

cnf(s15,plain,
    spl2_3,
    inference(sat_conversion,[],[f204]) ).

cnf(s16,plain,
    spl2_7,
    inference(sat_conversion,[],[f205]) ).

cnf(s18,plain,
    spl2_25,
    inference(sat_conversion,[],[f207]) ).

cnf(s20,plain,
    spl2_17,
    inference(sat_conversion,[],[f209]) ).

cnf(s21,plain,
    spl2_15,
    inference(sat_conversion,[],[f210]) ).

cnf(s25,plain,
    spl2_9,
    inference(sat_conversion,[],[f214]) ).

cnf(s26,plain,
    spl2_5,
    inference(sat_conversion,[],[f215]) ).

cnf(s29,plain,
    ( ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_16
    | ~ spl2_18
    | spl2_21
    | ~ spl2_26 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s30,plain,
    spl2_26,
    inference(rat,[],[s13,s18]) ).

cnf(s32,plain,
    ~ spl2_21,
    inference(rat,[],[s11,s14]) ).

cnf(s34,plain,
    spl2_18,
    inference(rat,[],[s9,s20]) ).

cnf(s35,plain,
    spl2_16,
    inference(rat,[],[s8,s21]) ).

cnf(s38,plain,
    spl2_10,
    inference(rat,[],[s5,s25]) ).

cnf(s39,plain,
    spl2_8,
    inference(rat,[],[s4,s16]) ).

cnf(s40,plain,
    spl2_6,
    inference(rat,[],[s3,s26]) ).

cnf(s41,plain,
    ~ spl2_4,
    inference(rat,[],[s29,s30,s32,s34,s35,s38,s39,s40]) ).

cnf(s42,plain,
    $false,
    inference(rat,[],[s2,s41,s15]) ).

fof(f493,plain,
    $false,
    inference(avatar_sat_refutation,[],[s42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL488+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41  % Computer : n008.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.42  % WCLimit  : 300
% 0.14/0.42  % DateTime : Sun Sep 27 15:51:25 UTC 2026
% 0.14/0.42  % CPUTime  : 
% 0.14/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47  Running first-order model finding
% 0.14/0.47  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
% 0.22/0.54  % (1410726)Will run a generic schedule for satisfiability detection.
% 0.22/0.54  % (1410735)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3994570878:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.54  % (1410732)% WARNING: option uhcvi not known.
% 0.22/0.54  % (1410736)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=729009279:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.54  % (1410731)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2242081975_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.54  % (1410732)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3896427099:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.54  % (1410734)dis+10_1_sil=32000:sp=arity:random_seed=3925357825:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.54  % (1410733)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2130385782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.54  % (1410738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3441390125:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.54  % TRYING [1]
% 0.22/0.54  % TRYING [2]
% 0.22/0.54  % TRYING [3]
% 0.22/0.54  % (1410734) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1410726-1410734"...
% 0.22/0.54  % (1410734)...printing done.
% 0.22/0.54  % (1410734)Refutation found. Thanks to Tanya!
% 0.22/0.54  % SZS status Theorem for theBenchmark
% 0.22/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54  % (1410734)------------------------------
% 0.22/0.54  % (1410734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.54  % (1410734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.54  % (1410734)CaDiCaL version: 2.1.3
% 0.22/0.54  % (1410734)Termination reason: Refutation
% 0.22/0.54  % (1410734)Time elapsed: 0.017 s
% 0.22/0.54  % (1410734)Peak memory usage: 12 MB
% 0.22/0.54  % (1410734)Instructions burned: 14 (million)
% 0.22/0.54  % (1410726)Success in time 0.058 s
% 0.22/0.54  % Vampire exiting
%------------------------------------------------------------------------------