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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU353+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 : n010.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 12:52:58 PM UTC 2026

% Result   : Theorem 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   92 (  23 unt;   4 def)
%            Number of atoms       :  236 (  30 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  246 ( 102   ~; 101   |;  27   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   5 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :   93 (   0 sgn  89   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => ( ( function(X2)
          & v1_partfun1(X2,X0,X1) )
       => ( function(X2)
          & quasi_total(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).

fof(f10,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).

fof(f15,axiom,
    ! [X0] :
      ( v1_partfun1(identity_as_relation_of(X0),X0,X0)
      & relation_of2_as_subset(identity_as_relation_of(X0),X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).

fof(f28,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & one_sorted_str(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f31,axiom,
    ! [X0] :
      ( relation(identity_relation(X0))
      & function(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & antisymmetric(identity_relation(X0))
      & transitive(identity_relation(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).

fof(f44,axiom,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ empty(X0)
        & function(X2)
        & quasi_total(X2,X0,X1)
        & relation_of2(X2,X0,X1)
        & element(X3,X0) )
     => apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).

fof(f46,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( in(X1,X0)
     => apply(identity_relation(X0),X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).

fof(f57,conjecture,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & one_sorted_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).

fof(f58,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty_carrier(X0)
          & one_sorted_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    inference(negated_conjecture,[status(cth)],[f57]) ).

fof(f62,plain,
    ! [X0] :
      ( relation(identity_relation(X0))
      & function(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & transitive(identity_relation(X0)) ),
    inference(pure_predicate_removal,[],[f31]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & quasi_total(X2,X0,X1) )
      | ~ function(X2)
      | ~ v1_partfun1(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & quasi_total(X2,X0,X1) )
      | ~ function(X2)
      | ~ v1_partfun1(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1) ),
    inference(flattening,[],[f64]) ).

fof(f79,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | empty_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | empty_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(flattening,[],[f84]) ).

fof(f91,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | empty(X0)
      | ~ function(X2)
      | ~ quasi_total(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1)
      | ~ element(X3,X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | empty(X0)
      | ~ function(X2)
      | ~ quasi_total(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1)
      | ~ element(X3,X0) ),
    inference(flattening,[],[f91]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( apply(identity_relation(X0),X1) = X1
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f105,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & one_sorted_str(X0) ),
    inference(flattening,[],[f104]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(X2,X0,X1)
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | quasi_total(X2,X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f120,plain,
    ! [X0] : relation_of2_as_subset(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f121,plain,
    ! [X0] : v1_partfun1(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | empty_carrier(X0)
      | ~ empty(the_carrier(X0)) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f138,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f62]) ).

fof(f175,plain,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0)
      | apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | apply(identity_relation(X0),X1) = X1 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f189,plain,
    element(sK16,the_carrier(sK15)),
    inference(cnf_transformation,[],[f105]) ).

fof(f190,plain,
    sK16 != apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16),
    inference(cnf_transformation,[],[f105]) ).

fof(f191,plain,
    one_sorted_str(sK15),
    inference(cnf_transformation,[],[f105]) ).

fof(f192,plain,
    ~ empty_carrier(sK15),
    inference(cnf_transformation,[],[f105]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | identity_on_carrier(X0) = identity_relation(the_carrier(X0)) ),
    inference(definition_unfolding,[],[f119,f175]) ).

fof(f194,plain,
    ! [X0] : v1_partfun1(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f121,f175]) ).

fof(f195,plain,
    ! [X0] : relation_of2_as_subset(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f120,f175]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( ~ v1_partfun1(X2,X0,X1)
      | relation_of2(X2,X0,X1)
      | ~ function(X2)
      | quasi_total(X2,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f209,plain,
    ! [X0] :
      ( empty(the_carrier(X0))
      | empty_carrier(X0)
      | ~ one_sorted_str(X0) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ quasi_total(X2,X0,X1)
      | relation_of2(X2,X0,X1)
      | ~ element(X3,X0)
      | ~ function(X2)
      | ~ empty(X0)
      | apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f235,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ element(X0,X1)
      | ~ empty(X1) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f273,plain,
    identity_on_carrier(sK15) = identity_relation(the_carrier(sK15)),
    inference(resolution,[],[f193,f191]) ).

fof(f277,plain,
    function(identity_on_carrier(sK15)),
    inference(superposition,[],[f138,f273]) ).

fof(f278,plain,
    v1_partfun1(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)),
    inference(superposition,[],[f194,f273]) ).

fof(f279,plain,
    relation_of2_as_subset(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)),
    inference(superposition,[],[f195,f273]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | apply(identity_relation(X0),X1) = X1
      | ~ empty(X0) ),
    inference(resolution,[],[f182,f238]) ).

fof(f294,plain,
    ( relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
    | ~ function(identity_on_carrier(sK15))
    | quasi_total(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)) ),
    inference(resolution,[],[f278,f196]) ).

fof(f295,plain,
    ( relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
    | quasi_total(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)) ),
    inference(forward_subsumption_resolution,[],[f294,f277]) ).

fof(f297,definition,
    ( spl17_1
  <=> quasi_total(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)) ),
    introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).

fof(f299,plain,
    ( quasi_total(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
    | ~ spl17_1 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f301,definition,
    ( spl17_2
  <=> relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15)) ),
    introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).

fof(f303,plain,
    ( relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
    | ~ spl17_2 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f304,plain,
    ( spl17_1
    | spl17_2 ),
    inference(avatar_split_clause,[],[f295,f301,f297]) ).

fof(f329,plain,
    ( ~ relation_of2_as_subset(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
    | ~ spl17_2 ),
    inference(resolution,[],[f303,f235]) ).

fof(f330,plain,
    ( $false
    | ~ spl17_2 ),
    inference(forward_subsumption_resolution,[],[f329,f279]) ).

fof(f331,plain,
    ~ spl17_2,
    inference(avatar_contradiction_clause,[],[f330]) ).

fof(f332,plain,
    ( ! [X0] :
        ( relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
        | ~ element(X0,the_carrier(sK15))
        | ~ function(identity_on_carrier(sK15))
        | ~ empty(the_carrier(sK15))
        | apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X0) = apply(identity_on_carrier(sK15),X0) )
    | ~ spl17_1 ),
    inference(resolution,[],[f299,f234]) ).

fof(f336,plain,
    ( ! [X0] :
        ( relation_of2(identity_on_carrier(sK15),the_carrier(sK15),the_carrier(sK15))
        | ~ element(X0,the_carrier(sK15))
        | ~ empty(the_carrier(sK15))
        | apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X0) = apply(identity_on_carrier(sK15),X0) )
    | ~ spl17_1 ),
    inference(forward_subsumption_resolution,[],[f332,f277]) ).

fof(f342,definition,
    ( spl17_4
  <=> empty(the_carrier(sK15)) ),
    introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).

fof(f343,plain,
    ( empty(the_carrier(sK15))
    | ~ spl17_4 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( ~ empty(the_carrier(sK15))
    | spl17_4 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f347,definition,
    ( spl17_5
  <=> ! [X0] :
        ( ~ element(X0,the_carrier(sK15))
        | apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X0) = apply(identity_on_carrier(sK15),X0) ) ),
    introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ element(X0,the_carrier(sK15))
        | apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X0) = apply(identity_on_carrier(sK15),X0) )
    | ~ spl17_5 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( ~ spl17_4
    | spl17_5
    | spl17_2
    | ~ spl17_1 ),
    inference(avatar_split_clause,[],[f336,f297,f301,f347,f342]) ).

fof(f354,plain,
    ( empty_carrier(sK15)
    | ~ one_sorted_str(sK15)
    | spl17_4 ),
    inference(resolution,[],[f344,f209]) ).

fof(f360,plain,
    ( ~ one_sorted_str(sK15)
    | spl17_4 ),
    inference(forward_subsumption_resolution,[],[f354,f192]) ).

fof(f361,plain,
    ( $false
    | spl17_4 ),
    inference(forward_subsumption_resolution,[],[f360,f191]) ).

fof(f362,plain,
    spl17_4,
    inference(avatar_contradiction_clause,[],[f361]) ).

fof(f365,plain,
    ( apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16) = apply(identity_on_carrier(sK15),sK16)
    | ~ spl17_5 ),
    inference(resolution,[],[f348,f189]) ).

fof(f366,plain,
    ( sK16 != apply(identity_on_carrier(sK15),sK16)
    | ~ spl17_5 ),
    inference(superposition,[],[f190,f365]) ).

fof(f453,plain,
    ( sK16 = apply(identity_relation(the_carrier(sK15)),sK16)
    | ~ empty(the_carrier(sK15)) ),
    inference(resolution,[],[f286,f189]) ).

fof(f454,plain,
    ( sK16 = apply(identity_relation(the_carrier(sK15)),sK16)
    | ~ spl17_4 ),
    inference(forward_subsumption_resolution,[],[f453,f343]) ).

fof(f464,plain,
    ( sK16 = apply(identity_on_carrier(sK15),sK16)
    | ~ spl17_4 ),
    inference(forward_demodulation,[],[f454,f273]) ).

fof(f469,plain,
    ( $false
    | ~ spl17_4
    | ~ spl17_5 ),
    inference(forward_subsumption_resolution,[],[f464,f366]) ).

fof(f470,plain,
    ( ~ spl17_4
    | ~ spl17_5 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

cnf(s1,plain,
    ( spl17_1
    | spl17_2 ),
    inference(sat_conversion,[],[f304]) ).

cnf(s2,plain,
    ~ spl17_2,
    inference(sat_conversion,[],[f331]) ).

cnf(s4,plain,
    ( ~ spl17_1
    | spl17_2
    | ~ spl17_4
    | spl17_5 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s5,plain,
    spl17_4,
    inference(sat_conversion,[],[f362]) ).

cnf(s8,plain,
    ( ~ spl17_4
    | ~ spl17_5 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s9,plain,
    ~ spl17_5,
    inference(rat,[],[s8,s5]) ).

cnf(s10,plain,
    ( ~ spl17_1
    | spl17_2 ),
    inference(rat,[],[s4,s9,s5]) ).

cnf(s12,plain,
    ~ spl17_1,
    inference(rat,[],[s10,s2]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s1,s2,s12]) ).

fof(f471,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU353+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40  % Computer : n010.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Mon Sep 28 04:52:47 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46  Running first-order model finding
% 0.14/0.46  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
% 0.22/0.51  % (1563863)Will run a generic schedule for satisfiability detection.
% 0.22/0.51  % (1563869)% WARNING: option uhcvi not known.
% 0.22/0.51  % (1563869)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3881703903:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.51  % (1563869) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1563863-1563869"...
% 0.22/0.51  % (1563869)...printing done.
% 0.22/0.51  % (1563868)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2587451689_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.51  % (1563869)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Theorem for theBenchmark
% 0.22/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51  % (1563869)------------------------------
% 0.22/0.51  % (1563869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.51  % (1563869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.51  % (1563869)CaDiCaL version: 2.1.3
% 0.22/0.51  % (1563869)Termination reason: Refutation
% 0.22/0.51  % (1563869)Time elapsed: 0.010 s
% 0.22/0.51  % (1563869)Peak memory usage: 12 MB
% 0.22/0.51  % (1563869)Instructions burned: 14 (million)
% 0.22/0.51  % (1563863)Success in time 0.036 s
% 0.22/0.51  % Vampire exiting
%------------------------------------------------------------------------------