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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : FLD074-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 09:49:22 AM UTC 2026

% Result   : Unsatisfiable 21.81s 4.20s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  108 (  23 unt;   6 def)
%            Number of atoms       :  328 (   4 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  446 ( 226   ~; 216   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  140 (   0 sgn 140   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X5,X2)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X4,X1,X5)
      | ~ sum(X3,X4,X0)
      | sum(X0,X1,X2)
      | ~ sum(X3,X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ sum(X1,X0,X2)
      | sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ product(X5,X6,X2)
      | ~ sum(X3,X4,X5)
      | sum(X0,X1,X2)
      | ~ product(X3,X6,X0)
      | ~ product(X4,X6,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( defined(add(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).

fof(f15,axiom,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( defined(multiply(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( sum(X0,X1,add(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_addition) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( product(X0,X1,multiply(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).

fof(f24,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X3,X4,X1)
      | ~ less_or_equal(X2,X3)
      | ~ sum(X2,X4,X0)
      | less_or_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X1,X2,X0)
      | ~ less_or_equal(additive_identity,X1)
      | ~ less_or_equal(additive_identity,X2)
      | less_or_equal(additive_identity,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f29,axiom,
    defined(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).

fof(f30,negated_conjecture,
    less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f31,negated_conjecture,
    less_or_equal(additive_identity,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).

fof(f32,negated_conjecture,
    ~ less_or_equal(multiply(a,c),multiply(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).

fof(f33,definition,
    sF0 = multiply(a,c),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f34,plain,
    multiply(a,c) = sF0,
    inference(reorient_equations,[],[f33]) ).

fof(f35,definition,
    sF1 = multiply(b,c),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f36,plain,
    multiply(b,c) = sF1,
    inference(reorient_equations,[],[f35]) ).

fof(f37,plain,
    ~ less_or_equal(sF0,sF1),
    inference(definition_folding,[],[f32,f36,f34]) ).

fof(f40,plain,
    ( product(b,c,sF1)
    | ~ defined(b)
    | ~ defined(c) ),
    inference(superposition,[],[f20,f36]) ).

fof(f41,plain,
    ( product(a,c,sF0)
    | ~ defined(a)
    | ~ defined(c) ),
    inference(superposition,[],[f20,f34]) ).

fof(f42,plain,
    ( product(a,c,sF0)
    | ~ defined(c) ),
    inference(forward_subsumption_resolution,[],[f41,f27]) ).

fof(f43,plain,
    ( product(b,c,sF1)
    | ~ defined(c) ),
    inference(forward_subsumption_resolution,[],[f40,f28]) ).

fof(f44,plain,
    product(a,c,sF0),
    inference(forward_subsumption_resolution,[],[f42,f29]) ).

fof(f45,plain,
    product(b,c,sF1),
    inference(forward_subsumption_resolution,[],[f43,f29]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( less_or_equal(additive_identity,multiply(X0,X1))
      | ~ less_or_equal(additive_identity,X1)
      | ~ less_or_equal(additive_identity,X0)
      | ~ defined(X0)
      | ~ defined(X1) ),
    inference(resolution,[],[f25,f20]) ).

fof(f82,plain,
    ( defined(sF0)
    | ~ defined(a)
    | ~ defined(c) ),
    inference(superposition,[],[f16,f34]) ).

fof(f83,plain,
    ( defined(sF0)
    | ~ defined(c) ),
    inference(forward_subsumption_resolution,[],[f82,f27]) ).

fof(f85,plain,
    defined(sF0),
    inference(forward_subsumption_resolution,[],[f83,f29]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X1,X2,X3)
      | ~ sum(X0,X1,additive_identity)
      | sum(X0,X3,X2)
      | ~ defined(X2) ),
    inference(resolution,[],[f1,f3]) ).

fof(f135,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X2,add(X0,X1),X4)
      | ~ defined(X1)
      | ~ sum(X2,X0,X3)
      | sum(X3,X1,X4)
      | ~ defined(X0) ),
    inference(resolution,[],[f19,f2]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( sum(X1,X0,add(X0,X1))
      | ~ defined(X1)
      | ~ defined(X0) ),
    inference(resolution,[],[f19,f5]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X2,X1,X3)
      | ~ defined(X1)
      | ~ less_or_equal(X2,X0)
      | ~ defined(X0)
      | less_or_equal(X3,add(X0,X1)) ),
    inference(resolution,[],[f19,f24]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( ~ defined(X0)
      | ~ defined(X1)
      | ~ sum(X2,X0,additive_identity)
      | sum(X2,add(X1,X0),X1)
      | ~ defined(X1) ),
    inference(resolution,[],[f137,f122]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sum(X2,add(X1,X0),X4)
      | ~ defined(X1)
      | ~ sum(X2,X0,X3)
      | sum(X3,X1,X4)
      | ~ defined(X0) ),
    inference(resolution,[],[f137,f2]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( sum(X2,add(X1,X0),X1)
      | ~ defined(X1)
      | ~ sum(X2,X0,additive_identity)
      | ~ defined(X0) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f178,plain,
    ! [X0] :
      ( sum(X0,additive_inverse(X0),additive_identity)
      | ~ defined(X0) ),
    inference(resolution,[],[f4,f5]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ defined(X0)
      | ~ defined(additive_inverse(X0))
      | ~ less_or_equal(X0,X1)
      | ~ defined(X1)
      | less_or_equal(additive_identity,add(X1,additive_inverse(X0))) ),
    inference(resolution,[],[f178,f138]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( less_or_equal(additive_identity,add(X1,additive_inverse(X0)))
      | ~ less_or_equal(X0,X1)
      | ~ defined(X1)
      | ~ defined(X0) ),
    inference(forward_subsumption_resolution,[],[f198,f15]) ).

fof(f863,plain,
    ! [X2,X3,X0,X1] :
      ( ~ defined(X0)
      | ~ sum(X1,X2,X3)
      | sum(X3,X0,X0)
      | ~ defined(X2)
      | ~ defined(X0)
      | ~ sum(X1,X2,additive_identity)
      | ~ defined(X2) ),
    inference(resolution,[],[f147,f154]) ).

fof(f869,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X1,X2,additive_identity)
      | ~ sum(X1,X2,X3)
      | sum(X3,X0,X0)
      | ~ defined(X2)
      | ~ defined(X0) ),
    inference(duplicate_literal_removal,[],[f863]) ).

fof(f877,plain,
    ! [X2,X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | sum(X1,X2,X2)
      | ~ defined(X0)
      | ~ defined(X2)
      | ~ defined(X0) ),
    inference(resolution,[],[f869,f4]) ).

fof(f893,plain,
    ! [X2,X0,X1] :
      ( ~ sum(additive_inverse(X0),X0,X1)
      | sum(X1,X2,X2)
      | ~ defined(X0)
      | ~ defined(X2) ),
    inference(duplicate_literal_removal,[],[f877]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( sum(add(additive_inverse(X0),X0),X1,X1)
      | ~ defined(X0)
      | ~ defined(X1)
      | ~ defined(additive_inverse(X0))
      | ~ defined(X0) ),
    inference(resolution,[],[f893,f19]) ).

fof(f912,plain,
    ! [X0,X1] :
      ( sum(add(additive_inverse(X0),X0),X1,X1)
      | ~ defined(X0)
      | ~ defined(X1)
      | ~ defined(additive_inverse(X0)) ),
    inference(duplicate_literal_removal,[],[f909]) ).

fof(f917,plain,
    ! [X0,X1] :
      ( sum(add(additive_inverse(X0),X0),X1,X1)
      | ~ defined(X0)
      | ~ defined(X1) ),
    inference(forward_subsumption_resolution,[],[f912,f15]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( sum(X1,add(additive_inverse(X0),X0),X1)
      | ~ defined(X1)
      | ~ defined(X0) ),
    inference(resolution,[],[f917,f5]) ).

fof(f1001,plain,
    ! [X2,X0,X1] :
      ( ~ defined(X0)
      | ~ defined(X1)
      | ~ defined(X1)
      | ~ sum(X0,additive_inverse(X1),X2)
      | sum(X2,X1,X0)
      | ~ defined(additive_inverse(X1)) ),
    inference(resolution,[],[f924,f135]) ).

fof(f1021,plain,
    ! [X2,X0,X1] :
      ( ~ defined(X0)
      | ~ defined(X1)
      | ~ sum(X0,additive_inverse(X1),X2)
      | sum(X2,X1,X0)
      | ~ defined(additive_inverse(X1)) ),
    inference(duplicate_literal_removal,[],[f1001]) ).

fof(f1028,plain,
    ! [X2,X0,X1] :
      ( ~ sum(X0,additive_inverse(X1),X2)
      | ~ defined(X1)
      | ~ defined(X0)
      | sum(X2,X1,X0) ),
    inference(forward_subsumption_resolution,[],[f1021,f15]) ).

fof(f1083,plain,
    ! [X0,X1] :
      ( ~ defined(X0)
      | ~ defined(X1)
      | sum(add(X1,additive_inverse(X0)),X0,X1)
      | ~ defined(X1)
      | ~ defined(additive_inverse(X0)) ),
    inference(resolution,[],[f1028,f19]) ).

fof(f1086,plain,
    ! [X0,X1] :
      ( ~ defined(X0)
      | ~ defined(X1)
      | sum(add(X1,additive_inverse(X0)),X0,X1)
      | ~ defined(additive_inverse(X0)) ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1093,plain,
    ! [X0,X1] :
      ( sum(add(X1,additive_inverse(X0)),X0,X1)
      | ~ defined(X1)
      | ~ defined(X0) ),
    inference(forward_subsumption_resolution,[],[f1086,f15]) ).

fof(f1104,plain,
    ! [X0,X1] :
      ( sum(X1,add(X0,additive_inverse(X1)),X0)
      | ~ defined(X1)
      | ~ defined(X0) ),
    inference(resolution,[],[f1093,f5]) ).

fof(f2586,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X1,c,X3)
      | sum(X2,X3,sF1)
      | ~ product(X0,c,X2)
      | ~ sum(X0,X1,b) ),
    inference(resolution,[],[f11,f45]) ).

fof(f2895,plain,
    ! [X2,X0,X1] :
      ( sum(X0,multiply(X1,c),sF1)
      | ~ product(X2,c,X0)
      | ~ sum(X2,X1,b)
      | ~ defined(X1)
      | ~ defined(c) ),
    inference(resolution,[],[f2586,f20]) ).

fof(f2903,plain,
    ! [X2,X0,X1] :
      ( ~ product(X2,c,X0)
      | sum(X0,multiply(X1,c),sF1)
      | ~ sum(X2,X1,b)
      | ~ defined(X1) ),
    inference(forward_subsumption_resolution,[],[f2895,f29]) ).

fof(f3283,plain,
    ! [X0] :
      ( sum(sF0,multiply(X0,c),sF1)
      | ~ sum(a,X0,b)
      | ~ defined(X0) ),
    inference(resolution,[],[f2903,f44]) ).

fof(f4567,definition,
    ( spl2_128
  <=> ! [X1] :
        ( ~ sum(additive_identity,sF0,X1)
        | less_or_equal(X1,sF1) ) ),
    introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).

fof(f4568,plain,
    ( ! [X1] :
        ( ~ sum(additive_identity,sF0,X1)
        | less_or_equal(X1,sF1) )
    | ~ spl2_128 ),
    inference(avatar_component_clause,[],[f4567]) ).

fof(f4587,definition,
    ( spl2_131
  <=> defined(add(b,additive_inverse(a))) ),
    introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).

fof(f4588,plain,
    ( defined(add(b,additive_inverse(a)))
    | ~ spl2_131 ),
    inference(avatar_component_clause,[],[f4587]) ).

fof(f4589,plain,
    ( ~ defined(add(b,additive_inverse(a)))
    | spl2_131 ),
    inference(avatar_component_clause,[],[f4587]) ).

fof(f4591,definition,
    ( spl2_132
  <=> less_or_equal(additive_identity,add(b,additive_inverse(a))) ),
    introduced(definition,[new_symbols(definition,[spl2_132])],[avatar_definition]) ).

fof(f4592,plain,
    ( less_or_equal(additive_identity,add(b,additive_inverse(a)))
    | ~ spl2_132 ),
    inference(avatar_component_clause,[],[f4591]) ).

fof(f4593,plain,
    ( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
    | spl2_132 ),
    inference(avatar_component_clause,[],[f4591]) ).

fof(f10273,plain,
    ! [X0] :
      ( sum(multiply(X0,c),sF0,sF1)
      | ~ defined(X0)
      | ~ sum(a,X0,b) ),
    inference(resolution,[],[f3283,f5]) ).

fof(f20097,plain,
    ! [X2,X0,X1] :
      ( ~ less_or_equal(X1,multiply(X0,c))
      | ~ sum(a,X0,b)
      | ~ defined(X0)
      | ~ sum(X1,sF0,X2)
      | less_or_equal(X2,sF1) ),
    inference(resolution,[],[f10273,f24]) ).

fof(f20123,plain,
    ! [X0,X1] :
      ( ~ sum(a,X0,b)
      | ~ defined(X0)
      | ~ sum(additive_identity,sF0,X1)
      | less_or_equal(X1,sF1)
      | ~ less_or_equal(additive_identity,c)
      | ~ less_or_equal(additive_identity,X0)
      | ~ defined(X0)
      | ~ defined(c) ),
    inference(resolution,[],[f20097,f58]) ).

fof(f20132,plain,
    ! [X0,X1] :
      ( ~ sum(a,X0,b)
      | ~ defined(X0)
      | ~ sum(additive_identity,sF0,X1)
      | less_or_equal(X1,sF1)
      | ~ less_or_equal(additive_identity,c)
      | ~ less_or_equal(additive_identity,X0)
      | ~ defined(c) ),
    inference(duplicate_literal_removal,[],[f20123]) ).

fof(f20134,plain,
    ! [X0,X1] :
      ( ~ sum(a,X0,b)
      | ~ defined(X0)
      | ~ sum(additive_identity,sF0,X1)
      | less_or_equal(X1,sF1)
      | ~ less_or_equal(additive_identity,X0)
      | ~ defined(c) ),
    inference(forward_subsumption_resolution,[],[f20132,f31]) ).

fof(f20136,plain,
    ! [X0,X1] :
      ( ~ sum(a,X0,b)
      | ~ defined(X0)
      | ~ sum(additive_identity,sF0,X1)
      | less_or_equal(X1,sF1)
      | ~ less_or_equal(additive_identity,X0) ),
    inference(forward_subsumption_resolution,[],[f20134,f29]) ).

fof(f20139,definition,
    ( spl2_463
  <=> ! [X0] :
        ( ~ sum(a,X0,b)
        | ~ less_or_equal(additive_identity,X0)
        | ~ defined(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl2_463])],[avatar_definition]) ).

fof(f20140,plain,
    ( ! [X0] :
        ( ~ sum(a,X0,b)
        | ~ less_or_equal(additive_identity,X0)
        | ~ defined(X0) )
    | ~ spl2_463 ),
    inference(avatar_component_clause,[],[f20139]) ).

fof(f20141,plain,
    ( spl2_128
    | spl2_463 ),
    inference(avatar_split_clause,[],[f20136,f20139,f4567]) ).

fof(f20147,plain,
    ( ~ less_or_equal(additive_identity,add(b,additive_inverse(a)))
    | ~ defined(add(b,additive_inverse(a)))
    | ~ defined(a)
    | ~ defined(b)
    | ~ spl2_463 ),
    inference(resolution,[],[f20140,f1104]) ).

fof(f21291,plain,
    ( ~ defined(b)
    | ~ defined(additive_inverse(a))
    | spl2_131 ),
    inference(resolution,[],[f13,f4589]) ).

fof(f21292,plain,
    ( ~ defined(additive_inverse(a))
    | spl2_131 ),
    inference(forward_subsumption_resolution,[],[f21291,f28]) ).

fof(f21297,plain,
    ( ~ defined(a)
    | spl2_131 ),
    inference(resolution,[],[f21292,f15]) ).

fof(f21298,plain,
    ( $false
    | spl2_131 ),
    inference(forward_subsumption_resolution,[],[f21297,f27]) ).

fof(f21299,plain,
    spl2_131,
    inference(avatar_contradiction_clause,[],[f21298]) ).

fof(f21302,plain,
    ( ~ less_or_equal(a,b)
    | ~ defined(b)
    | ~ defined(a)
    | spl2_132 ),
    inference(resolution,[],[f4593,f199]) ).

fof(f21305,plain,
    ( ~ defined(b)
    | ~ defined(a)
    | spl2_132 ),
    inference(forward_subsumption_resolution,[],[f21302,f30]) ).

fof(f21307,plain,
    ( ~ defined(a)
    | spl2_132 ),
    inference(forward_subsumption_resolution,[],[f21305,f28]) ).

fof(f21308,plain,
    ( $false
    | spl2_132 ),
    inference(forward_subsumption_resolution,[],[f21307,f27]) ).

fof(f21309,plain,
    spl2_132,
    inference(avatar_contradiction_clause,[],[f21308]) ).

fof(f21310,plain,
    ( ~ defined(add(b,additive_inverse(a)))
    | ~ defined(a)
    | ~ defined(b)
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f20147,f4592]) ).

fof(f21313,plain,
    ( ~ defined(a)
    | ~ defined(b)
    | ~ spl2_131
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f21310,f4588]) ).

fof(f21315,plain,
    ( ~ defined(b)
    | ~ spl2_131
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f21313,f27]) ).

fof(f21316,plain,
    ( $false
    | ~ spl2_131
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(forward_subsumption_resolution,[],[f21315,f28]) ).

fof(f21317,plain,
    ( ~ spl2_131
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(avatar_contradiction_clause,[],[f21316]) ).

fof(f21318,plain,
    ( less_or_equal(sF0,sF1)
    | ~ defined(sF0)
    | ~ spl2_128 ),
    inference(resolution,[],[f4568,f3]) ).

fof(f21330,plain,
    ( ~ defined(sF0)
    | ~ spl2_128 ),
    inference(forward_subsumption_resolution,[],[f21318,f37]) ).

fof(f21334,plain,
    ( $false
    | ~ spl2_128 ),
    inference(forward_subsumption_resolution,[],[f21330,f85]) ).

fof(f21335,plain,
    ~ spl2_128,
    inference(avatar_contradiction_clause,[],[f21334]) ).

cnf(s493,plain,
    ( spl2_128
    | spl2_463 ),
    inference(sat_conversion,[],[f20141]) ).

cnf(s501,plain,
    spl2_131,
    inference(sat_conversion,[],[f21299]) ).

cnf(s503,plain,
    spl2_132,
    inference(sat_conversion,[],[f21309]) ).

cnf(s504,plain,
    ( ~ spl2_131
    | ~ spl2_132
    | ~ spl2_463 ),
    inference(sat_conversion,[],[f21317]) ).

cnf(s505,plain,
    ~ spl2_128,
    inference(sat_conversion,[],[f21335]) ).

cnf(s507,plain,
    ~ spl2_463,
    inference(rat,[],[s504,s503,s501]) ).

cnf(s510,plain,
    $false,
    inference(rat,[],[s493,s507,s505]) ).

fof(f21339,plain,
    $false,
    inference(avatar_sat_refutation,[],[s510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD074-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n011.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 00:53:01 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.69/1.93  % (3957860)Input is clausal, will run a generic CNF schedule.
% 7.69/1.93  % (3957871)dis-21_1_sil=8000:lcm=predicate:random_seed=1893087230:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.69/1.93  % (3957871)Instruction limit reached! 
% 7.69/1.93  % (3957871)------------------------------
% 7.69/1.93  % (3957871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/1.93  % (3957871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.93  % (3957871)CaDiCaL version: 2.1.3
% 7.69/1.93  % (3957871)Termination reason: Instruction limit
% 7.69/1.93  % (3957871)Termination phase: Saturation
% 7.69/1.93  % (3957871)Time elapsed: 0.040 s
% 7.69/1.93  % (3957871)Peak memory usage: 89 MB
% 7.69/1.93  % (3957871)Instructions burned: 118 (million)
% 7.69/1.93  % (3957868)lrs+10_1_sil=8000:sp=occurrence:random_seed=3176736700:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.69/1.93  % (3957869)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=588730946:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.69/1.93  % (3957866)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=629214849:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.69/1.93  % (3957867)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1740396454:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.69/1.93  % (3957870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1182791192:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.69/1.93  % (3957865)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=131831462:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.69/1.93  % (3957869)Instruction limit reached! 
% 7.69/1.93  % (3957869)------------------------------
% 7.69/1.93  % (3957869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/1.93  % (3957869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.93  % (3957869)CaDiCaL version: 2.1.3
% 7.69/1.93  % (3957869)Termination reason: Instruction limit
% 7.69/1.93  % (3957869)Termination phase: Saturation
% 7.69/1.93  % (3957869)Time elapsed: 0.046 s
% 7.69/1.93  % (3957869)Peak memory usage: 88 MB
% 7.69/1.93  % (3957869)Instructions burned: 116 (million)
% 7.69/1.93  % (3957868)Instruction limit reached! 
% 7.69/1.93  % (3957868)------------------------------
% 7.69/1.93  % (3957868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/1.93  % (3957868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.93  % (3957868)CaDiCaL version: 2.1.3
% 7.69/1.93  % (3957868)Termination reason: Instruction limit
% 7.69/1.93  % (3957868)Termination phase: Saturation
% 7.69/1.93  % (3957868)Time elapsed: 0.058 s
% 7.69/1.93  % (3957868)Peak memory usage: 88 MB
% 7.69/1.93  % (3957868)Instructions burned: 108 (million)
% 7.69/1.93  % (3957879)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3820913732:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.69/1.93  % (3957870)Instruction limit reached! 
% 7.69/1.93  % (3957870)------------------------------
% 7.69/1.93  % (3957870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/1.93  % (3957870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.93  % (3957870)CaDiCaL version: 2.1.3
% 7.69/1.93  % (3957870)Termination reason: Instruction limit
% 7.69/1.93  % (3957870)Termination phase: Saturation
% 7.69/1.93  % (3957870)Time elapsed: 0.122 s
% 7.69/1.93  % (3957870)Peak memory usage: 89 MB
% 7.69/1.93  % (3957870)Instructions burned: 180 (million)
% 7.69/1.93  % (3957879)Instruction limit reached! 
% 7.69/1.93  % (3957879)------------------------------
% 7.69/1.93  % (3957879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/1.93  % (3957879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.93  % (3957879)CaDiCaL version: 2.1.3
% 7.69/1.93  % (3957879)Termination reason: Instruction limit
% 7.69/1.93  % (3957879)Termination phase: Saturation
% 7.69/1.93  % (3957879)Time elapsed: 0.031 s
% 7.69/1.93  % (3957879)Peak memory usage: 88 MB
% 7.69/1.93  % (3957879)Instructions burned: 147 (million)
% 7.69/1.93  % (3957880)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=832847649:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 18.86/3.31  % (3957881)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1957796513:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.86/3.31  % (3957884)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2815566908:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 18.86/3.31  % (3957883)lrs+10_64_to=lpo:sil=8000:random_seed=2623901154:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 18.86/3.31  % (3957884)Instruction limit reached! 
% 18.86/3.31  % (3957884)------------------------------
% 18.86/3.31  % (3957884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/3.31  % (3957884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.31  % (3957884)CaDiCaL version: 2.1.3
% 18.86/3.31  % (3957884)Termination reason: Instruction limit
% 18.86/3.31  % (3957884)Termination phase: Saturation
% 18.86/3.31  % (3957884)Time elapsed: 0.038 s
% 18.86/3.31  % (3957884)Peak memory usage: 87 MB
% 18.86/3.31  % (3957884)Instructions burned: 200 (million)
% 18.86/3.31  % (3957881)Instruction limit reached! 
% 18.86/3.31  % (3957881)------------------------------
% 18.86/3.31  % (3957881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/3.31  % (3957881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.31  % (3957881)CaDiCaL version: 2.1.3
% 18.86/3.31  % (3957881)Termination reason: Instruction limit
% 18.86/3.31  % (3957881)Termination phase: Saturation
% 18.86/3.31  % (3957881)Time elapsed: 0.077 s
% 18.86/3.31  % (3957881)Peak memory usage: 87 MB
% 18.86/3.31  % (3957881)Instructions burned: 221 (million)
% 18.86/3.31  % (3957880)Instruction limit reached! 
% 18.86/3.31  % (3957880)------------------------------
% 18.86/3.31  % (3957880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/3.31  % (3957880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.31  % (3957880)CaDiCaL version: 2.1.3
% 18.86/3.31  % (3957880)Termination reason: Instruction limit
% 18.86/3.31  % (3957880)Termination phase: Saturation
% 18.86/3.31  % (3957880)Time elapsed: 0.096 s
% 18.86/3.31  % (3957880)Peak memory usage: 93 MB
% 18.86/3.31  % (3957880)Instructions burned: 190 (million)
% 18.86/3.31  % (3957883)Instruction limit reached! 
% 18.86/3.31  % (3957883)------------------------------
% 18.86/3.31  % (3957883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/3.31  % (3957883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.31  % (3957883)CaDiCaL version: 2.1.3
% 18.86/3.31  % (3957883)Termination reason: Instruction limit
% 18.86/3.31  % (3957883)Termination phase: Saturation
% 18.86/3.31  % (3957883)Time elapsed: 0.059 s
% 18.86/3.31  % (3957883)Peak memory usage: 88 MB
% 18.86/3.31  % (3957883)Instructions burned: 127 (million)
% 18.86/3.31  % (3957889)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4123592263:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 18.86/3.31  % (3957890)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3970300947:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 18.86/3.31  % (3957889)Instruction limit reached! 
% 18.86/3.31  % (3957889)------------------------------
% 18.86/3.31  % (3957889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.86/3.31  % (3957889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.86/3.31  % (3957889)CaDiCaL version: 2.1.3
% 18.86/3.31  % (3957889)Termination reason: Instruction limit
% 18.86/3.31  % (3957889)Termination phase: Saturation
% 18.86/3.31  % (3957889)Time elapsed: 0.050 s
% 18.86/3.31  % (3957889)Peak memory usage: 89 MB
% 18.86/3.31  % (3957889)Instructions burned: 159 (million)
% 18.86/3.31  % (3957891)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=707281915:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 18.86/3.31  % (3957892)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3017776086:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 18.86/3.31  % (3957891)Instruction limit reached! 
% 18.86/3.31  % (3957891)------------------------------
% 18.86/3.31  % (3957891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957891)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957891)Termination reason: Instruction limit
% 21.81/4.20  % (3957891)Termination phase: Saturation
% 21.81/4.20  % (3957891)Time elapsed: 0.054 s
% 21.81/4.20  % (3957891)Peak memory usage: 90 MB
% 21.81/4.20  % (3957891)Instructions burned: 107 (million)
% 21.81/4.20  % (3957892)Instruction limit reached! 
% 21.81/4.20  % (3957892)------------------------------
% 21.81/4.20  % (3957892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957892)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957892)Termination reason: Instruction limit
% 21.81/4.20  % (3957892)Termination phase: Saturation
% 21.81/4.20  % (3957892)Time elapsed: 0.059 s
% 21.81/4.20  % (3957892)Peak memory usage: 88 MB
% 21.81/4.20  % (3957892)Instructions burned: 108 (million)
% 21.81/4.20  % (3957896)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4265809553:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 21.81/4.20  % (3957896)Instruction limit reached! 
% 21.81/4.20  % (3957896)------------------------------
% 21.81/4.20  % (3957896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957896)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957896)Termination reason: Instruction limit
% 21.81/4.20  % (3957896)Termination phase: Saturation
% 21.81/4.20  % (3957896)Time elapsed: 0.084 s
% 21.81/4.20  % (3957896)Peak memory usage: 89 MB
% 21.81/4.20  % (3957896)Instructions burned: 245 (million)
% 21.81/4.20  % (3957898)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2651062748:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 21.81/4.20  % (3957899)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4283522672:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 21.81/4.20  % (3957899)Instruction limit reached! 
% 21.81/4.20  % (3957899)------------------------------
% 21.81/4.20  % (3957899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957899)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957899)Termination reason: Instruction limit
% 21.81/4.20  % (3957899)Termination phase: Saturation
% 21.81/4.20  % (3957899)Time elapsed: 0.050 s
% 21.81/4.20  % (3957899)Peak memory usage: 87 MB
% 21.81/4.20  % (3957899)Instructions burned: 137 (million)
% 21.81/4.20  % (3957901)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1473975725:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 21.81/4.20  % (3957901)Instruction limit reached! 
% 21.81/4.20  % (3957901)------------------------------
% 21.81/4.20  % (3957901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957901)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957901)Termination reason: Instruction limit
% 21.81/4.20  % (3957901)Termination phase: Saturation
% 21.81/4.20  % (3957901)Time elapsed: 0.147 s
% 21.81/4.20  % (3957901)Peak memory usage: 100 MB
% 21.81/4.20  % (3957901)Instructions burned: 502 (million)
% 21.81/4.20  % (3957904)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1922247712:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 21.81/4.20  % (3957904)Instruction limit reached! 
% 21.81/4.20  % (3957904)------------------------------
% 21.81/4.20  % (3957904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957904)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957904)Termination reason: Instruction limit
% 21.81/4.20  % (3957904)Termination phase: Saturation
% 21.81/4.20  % (3957904)Time elapsed: 0.110 s
% 21.81/4.20  % (3957904)Peak memory usage: 91 MB
% 21.81/4.20  % (3957904)Instructions burned: 191 (million)
% 21.81/4.20  % (3957906)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3452124210:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 21.81/4.20  % (3957906)Instruction limit reached! 
% 21.81/4.20  % (3957906)------------------------------
% 21.81/4.20  % (3957906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957906)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957906)Termination reason: Instruction limit
% 21.81/4.20  % (3957906)Termination phase: Saturation
% 21.81/4.20  % (3957906)Time elapsed: 0.049 s
% 21.81/4.20  % (3957906)Peak memory usage: 87 MB
% 21.81/4.20  % (3957906)Instructions burned: 271 (million)
% 21.81/4.20  % (3957909)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2792581070:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 21.81/4.20  % (3957910)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3681623418:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 21.81/4.20  % (3957909)Instruction limit reached! 
% 21.81/4.20  % (3957909)------------------------------
% 21.81/4.20  % (3957909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957909)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957909)Termination reason: Instruction limit
% 21.81/4.20  % (3957909)Termination phase: Saturation
% 21.81/4.20  % (3957909)Time elapsed: 0.066 s
% 21.81/4.20  % (3957909)Peak memory usage: 87 MB
% 21.81/4.20  % (3957909)Instructions burned: 159 (million)
% 21.81/4.20  % (3957913)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3762093905:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 21.81/4.20  % (3957913)Instruction limit reached! 
% 21.81/4.20  % (3957913)------------------------------
% 21.81/4.20  % (3957913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957913)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957913)Termination reason: Instruction limit
% 21.81/4.20  % (3957913)Termination phase: Saturation
% 21.81/4.20  % (3957913)Time elapsed: 0.188 s
% 21.81/4.20  % (3957913)Peak memory usage: 87 MB
% 21.81/4.20  % (3957913)Instructions burned: 539 (million)
% 21.81/4.20  % (3957915)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2611130996:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 21.81/4.20  % (3957915)Instruction limit reached! 
% 21.81/4.20  % (3957915)------------------------------
% 21.81/4.20  % (3957915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957915)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957915)Termination reason: Instruction limit
% 21.81/4.20  % (3957915)Termination phase: Saturation
% 21.81/4.20  % (3957915)Time elapsed: 0.089 s
% 21.81/4.20  % (3957915)Peak memory usage: 93 MB
% 21.81/4.20  % (3957915)Instructions burned: 181 (million)
% 21.81/4.20  % (3957917)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=78417133:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 21.81/4.20  % (3957910)Instruction limit reached! 
% 21.81/4.20  % (3957910)------------------------------
% 21.81/4.20  % (3957910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957910)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957910)Termination reason: Instruction limit
% 21.81/4.20  % (3957910)Termination phase: Saturation
% 21.81/4.20  % (3957910)Time elapsed: 1.046 s
% 21.81/4.20  % (3957910)Peak memory usage: 141 MB
% 21.81/4.20  % (3957910)Instructions burned: 3260 (million)
% 21.81/4.20  % (3957919)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1328697532:i=412:gtgl=4:gtg=exists_all_2975 on theBenchmark for (2975ds/412Mi)
% 21.81/4.20  % (3957919)Instruction limit reached! 
% 21.81/4.20  % (3957919)------------------------------
% 21.81/4.20  % (3957919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957919)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957919)Termination reason: Instruction limit
% 21.81/4.20  % (3957919)Termination phase: Saturation
% 21.81/4.20  % (3957919)Time elapsed: 0.092 s
% 21.81/4.20  % (3957919)Peak memory usage: 89 MB
% 21.81/4.20  % (3957919)Instructions burned: 415 (million)
% 21.81/4.20  % (3957890)Instruction limit reached! 
% 21.81/4.20  % (3957890)------------------------------
% 21.81/4.20  % (3957890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957890)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957890)Termination reason: Instruction limit
% 21.81/4.20  % (3957890)Termination phase: Saturation
% 21.81/4.20  % (3957890)Time elapsed: 2.151 s
% 21.81/4.20  % (3957890)Peak memory usage: 147 MB
% 21.81/4.20  % (3957890)Instructions burned: 3395 (million)
% 21.81/4.20  % (3957921)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3989725500:s2pl=no:i=8478:s2at=4:nm=6_2973 on theBenchmark for (2973ds/8478Mi)
% 21.81/4.20  % (3957922)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2203151454:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2972 on theBenchmark for (2972ds/303Mi)
% 21.81/4.20  % (3957922)Instruction limit reached! 
% 21.81/4.20  % (3957922)------------------------------
% 21.81/4.20  % (3957922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.81/4.20  % (3957922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/4.20  % (3957922)CaDiCaL version: 2.1.3
% 21.81/4.20  % (3957922)Termination reason: Instruction limit
% 21.81/4.20  % (3957922)Termination phase: Saturation
% 21.81/4.20  % (3957922)Time elapsed: 0.131 s
% 21.81/4.20  % (3957922)Peak memory usage: 90 MB
% 21.81/4.20  % (3957922)Instructions burned: 305 (million)
% 21.81/4.20  % (3957865)First to succeed.
% 21.81/4.20  % (3957925)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2008737705:st=4:i=720:sd=3:fsr=off:ss=axioms_2969 on theBenchmark for (2969ds/720Mi)
% 21.81/4.20  % (3957865)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3957860"
% 21.81/4.20  % (3957865)Refutation found. Thanks to Tanya!
% 21.81/4.20  % SZS status Unsatisfiable for theBenchmark
% 21.81/4.20  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/4.40  % (3957865)------------------------------
% 0.19/4.40  % (3957865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/4.40  % (3957865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/4.40  % (3957865)CaDiCaL version: 2.1.3
% 0.19/4.40  % (3957865)Termination reason: Refutation
% 0.19/4.40  % (3957865)Time elapsed: 3.073 s
% 0.19/4.40  % (3957865)Peak memory usage: 157 MB
% 0.19/4.40  % (3957865)Instructions burned: 4682 (million)
% 0.19/4.40  % (3957865)------------------------------
% 0.19/4.40  % (3957865)------------------------------
% 0.19/4.40  % (3957860)Success in time 3.535 s
% 0.19/4.40  % Vampire exiting
%------------------------------------------------------------------------------