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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SCT174_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 12:37:10 PM UTC 2026

% Result   : ContradictoryAxioms 3.81s 1.53s
% Output   : Refutation 4.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-5 aty)
%            Number of functors    :   50 (  50 usr;   5 con; 0-7 aty)
%            Number of variables   :   24 (  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    arrow_411405190le_alt: $tType ).

tff(type_def_6,type,
    bool: $tType ).

tff(type_def_7,type,
    fun: ( $tType * $tType ) > $tType ).

tff(type_def_8,type,
    product_prod: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,product_prod(X0,X1))) ).

tff(func_def_1,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X0,X2) ) > product_prod(X1,X2) ) ).

tff(func_def_2,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * product_prod(X2,X0) ) > product_prod(X2,X1) ) ).

tff(func_def_3,type,
    product_curry: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(product_prod(X0,X1),X2) > fun(X0,fun(X1,X2)) ) ).

tff(func_def_4,type,
    produc1605651328_split: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_5,type,
    product_prod_case: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,fun(X1,X2)),fun(product_prod(X0,X1),X2)) ).

tff(func_def_6,type,
    product_prod_rec: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_7,type,
    product_scomp: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( fun(X0,product_prod(X1,X2)) * fun(X1,fun(X2,X3)) ) > fun(X0,X3) ) ).

tff(func_def_8,type,
    id_on: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(product_prod(X0,X0),bool) ) ).

tff(func_def_9,type,
    inv_image: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(X1,X0) ) > fun(product_prod(X1,X1),bool) ) ).

tff(func_def_10,type,
    lex_prod: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X0),bool) * fun(product_prod(X1,X1),bool) ) > fun(product_prod(product_prod(X0,X1),product_prod(X0,X1)),bool) ) ).

tff(func_def_11,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_12,type,
    fFalse: bool ).

tff(func_def_13,type,
    fTrue: bool ).

tff(func_def_14,type,
    l: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_15,type,
    x: arrow_411405190le_alt ).

tff(func_def_16,type,
    y: arrow_411405190le_alt ).

tff(func_def_17,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_18,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_19,type,
    sK2: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_20,type,
    sK3: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_21,type,
    sK4: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_22,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

tff(func_def_23,type,
    sK6: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

tff(func_def_24,type,
    sK7: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

tff(func_def_25,type,
    sK8: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

tff(func_def_26,type,
    sK9: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

tff(func_def_27,type,
    sK10: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

tff(func_def_28,type,
    sK11: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

tff(func_def_29,type,
    sK12: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

tff(func_def_30,type,
    sK13: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

tff(func_def_31,type,
    sK14: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

tff(func_def_32,type,
    sK15: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

tff(func_def_33,type,
    sK16: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

tff(func_def_34,type,
    sK17: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

tff(func_def_35,type,
    sK18: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

tff(func_def_36,type,
    sK19: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

tff(func_def_37,type,
    sK20: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

tff(func_def_38,type,
    sK21: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

tff(func_def_39,type,
    sK22: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

tff(func_def_40,type,
    sK23: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

tff(func_def_41,type,
    sK24: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

tff(func_def_42,type,
    sK25: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(func_def_43,type,
    sK26: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(func_def_44,type,
    sK27: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(func_def_45,type,
    sK28: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(func_def_46,type,
    sK29: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(func_def_47,type,
    sK30: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > X0 ) ).

tff(pred_def_1,type,
    in_rel: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X0,X1),bool) * X0 * X1 ) > $o ) ).

tff(pred_def_2,type,
    refl: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).

tff(pred_def_3,type,
    order_215145569der_on: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).

tff(pred_def_4,type,
    antisym: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).

tff(pred_def_5,type,
    irrefl: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).

tff(pred_def_6,type,
    single_valued: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > $o ) ).

tff(pred_def_7,type,
    total_on: 
      !>[X0: $tType] : ( ( fun(X0,bool) * fun(product_prod(X0,X0),bool) ) > $o ) ).

tff(pred_def_8,type,
    trans: 
      !>[X0: $tType] : ( fun(product_prod(X0,X0),bool) > $o ) ).

tff(pred_def_9,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_10,type,
    pp: bool > $o ).

tff(pred_def_11,type,
    sP31: arrow_411405190le_alt > $o ).

tff(f4,axiom,
    ! [X0: $tType,X1: X0,X2: X0,X3: X0,X4: fun(product_prod(X0,X0),bool)] :
      ( trans(X0,X4)
     => ( member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X2),X4)
       => ( member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X1),X4)
         => member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X1),X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_transD) ).

tff(f78,axiom,
    trans(arrow_411405190le_alt,l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f79,axiom,
    ! [X0: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X0),l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

tff(f81,axiom,
    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),x),l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

tff(f82,axiom,
    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),y),l),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

tff(f98,plain,
    ! [X0: $tType,X1: X0,X2: X0,X3: X0,X4: fun(product_prod(X0,X0),bool)] :
      ( member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X1),X4)
      | ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X1),X4)
      | ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X2),X4)
      | ~ trans(X0,X4) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f99,plain,
    ! [X0: $tType,X1: X0,X2: X0,X3: X0,X4: fun(product_prod(X0,X0),bool)] :
      ( member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X1),X4)
      | ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X1),X4)
      | ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X2),X4)
      | ~ trans(X0,X4) ),
    inference(flattening,[],[f98]) ).

tff(f117,plain,
    trans(arrow_411405190le_alt,l),
    inference(cnf_transformation,[],[f78]) ).

tff(f118,plain,
    ! [X0: arrow_411405190le_alt] : ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),X0),X0),l),
    inference(cnf_transformation,[],[f79]) ).

tff(f120,plain,
    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),x),l),
    inference(cnf_transformation,[],[f81]) ).

tff(f121,plain,
    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),y),l),
    inference(cnf_transformation,[],[f82]) ).

tff(f138,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: X0,X4: fun(product_prod(X0,X0),bool)] :
      ( ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X2),X4)
      | ~ member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X2),X1),X4)
      | member(product_prod(X0,X0),aa(X0,product_prod(X0,X0),aa(X0,fun(X0,product_prod(X0,X0)),product_Pair(X0,X0),X3),X1),X4)
      | ~ trans(X0,X4) ),
    inference(cnf_transformation,[],[f99]) ).

tff(f148,plain,
    ! [X0: arrow_411405190le_alt] :
      ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
      | member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),X0),l)
      | ~ trans(arrow_411405190le_alt,l) ),
    inference(resolution,[],[f120,f138]) ).

tff(f149,plain,
    ! [X0: arrow_411405190le_alt] :
      ( ~ member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),x),X0),l)
      | member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),X0),l) ),
    inference(forward_subsumption_resolution,[],[f148,f117]) ).

tff(f155,plain,
    member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt),aa(arrow_411405190le_alt,fun(arrow_411405190le_alt,product_prod(arrow_411405190le_alt,arrow_411405190le_alt)),product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),y),y),l),
    inference(resolution,[],[f149,f121]) ).

tff(f156,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f155,f118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT174_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n002.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 00:00:07 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.53  % (4022346)Detected formulas, will run a generic FOF schedule.
% 3.81/1.53  % (4022379)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2508336101:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.81/1.53  % (4022384)dis-21_1_sil=8000:lcm=predicate:random_seed=1860214489:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.81/1.53  % (4022380)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1174645682:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.81/1.53  % (4022382)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2858928884:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.81/1.53  % (4022378)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=2372919109:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.81/1.53  % (4022383)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=595399587:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.81/1.53  % (4022381)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1437001591:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.81/1.53  % (4022381)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.81/1.53  % (4022380)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.81/1.53  % (4022381)First to succeed.
% 3.81/1.53  % (4022381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4022346"
% 3.81/1.53  % (4022382)Also succeeded, but the first one will report.
% 3.81/1.53  % (4022384)Instruction limit reached! 
% 3.81/1.53  % (4022384)------------------------------
% 3.81/1.53  % (4022384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.53  % (4022384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.53  % (4022384)CaDiCaL version: 2.1.3
% 3.81/1.53  % (4022384)Termination reason: Instruction limit
% 3.81/1.53  % (4022384)Termination phase: Saturation
% 3.81/1.53  % (4022384)Time elapsed: 0.082 s
% 3.81/1.53  % (4022384)Peak memory usage: 89 MB
% 3.81/1.53  % (4022384)Instructions burned: 130 (million)
% 3.81/1.53  % (4022383)Instruction limit reached! 
% 3.81/1.53  % (4022383)------------------------------
% 3.81/1.53  % (4022383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.53  % (4022383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.53  % (4022383)CaDiCaL version: 2.1.3
% 3.81/1.53  % (4022383)Termination reason: Instruction limit
% 3.81/1.53  % (4022383)Termination phase: Saturation
% 3.81/1.53  % (4022383)Time elapsed: 0.140 s
% 3.81/1.53  % (4022383)Peak memory usage: 89 MB
% 3.81/1.53  % (4022383)Instructions burned: 139 (million)
% 3.81/1.53  % Exception at run slice level
% 3.81/1.53  User error: GNN currently only supports monomorphic FOL.
% 3.81/1.53  % (4022400)lrs+10_1_sil=8000:sp=occurrence:random_seed=2703134821:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.81/1.53  % (4022381)Refutation found. Thanks to Tanya!
% 3.81/1.53  % SZS status ContradictoryAxioms for theBenchmark
% 3.81/1.53  % SZS output start Proof for theBenchmark
% See solution above
% 4.77/1.80  % (4022381)------------------------------
% 4.77/1.80  % (4022381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.77/1.80  % (4022381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.77/1.80  % (4022381)CaDiCaL version: 2.1.3
% 4.77/1.80  % (4022381)Termination reason: Refutation
% 4.77/1.80  % (4022381)Time elapsed: 0.010 s
% 4.77/1.80  % (4022381)Peak memory usage: 89 MB
% 4.77/1.80  % (4022381)Instructions burned: 10 (million)
% 4.77/1.80  % (4022381)------------------------------
% 4.77/1.80  % (4022381)------------------------------
% 4.77/1.80  % (4022346)Success in time 0.58 s
% 4.77/1.80  % Vampire exiting
%------------------------------------------------------------------------------