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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP004_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 11:33:56 AM UTC 2026

% Result   : Theorem 8.04s 1.88s
% Output   : Refutation 8.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   32 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;   7   |;   1   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   36 (  36 usr;   7 con; 0-4 aty)
%            Number of variables   :   71 (  69   !;   2   ?;  71   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    tyop_2Emin_2Ebool: $tType ).

tff(type_def_6,type,
    tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).

tff(type_def_7,type,
    sK4: $tType ).

tff(func_def_0,type,
    app_2E2: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1,type,
    combin_i_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).

tff(func_def_2,type,
    combin_k_2E0: 
      !>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).

tff(func_def_3,type,
    combin_s_2E0: 
      !>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).

tff(func_def_4,type,
    c_2Ebool_2E_21_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_5,type,
    c_2Ebool_2E_21_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_6,type,
    c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_7,type,
    c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_8,type,
    c_2Emin_2E_3D_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).

tff(func_def_9,type,
    c_2Emin_2E_3D_2E2: 
      !>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).

tff(func_def_10,type,
    c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_11,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_12,type,
    c_2Ebool_2E_3F_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_13,type,
    c_2Ebool_2E_3F_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_14,type,
    c_2Epred__set_2ECHOICE_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X0) ).

tff(func_def_15,type,
    c_2Epred__set_2ECHOICE_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).

tff(func_def_16,type,
    c_2Epred__set_2EDELETE_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool))) ).

tff(func_def_17,type,
    c_2Epred__set_2EDELETE_2E2: 
      !>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * X0 ) > tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) ).

tff(func_def_18,type,
    c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).

tff(func_def_19,type,
    c_2Ebool_2EIN_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).

tff(func_def_20,type,
    c_2Ebool_2EIN_2E2: 
      !>[X0: $tType] : ( ( X0 * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).

tff(func_def_21,type,
    c_2Epred__set_2EREST_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).

tff(func_def_22,type,
    c_2Epred__set_2EREST_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) ).

tff(func_def_23,type,
    c_2Epred__set_2ESUBSET_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).

tff(func_def_24,type,
    c_2Epred__set_2ESUBSET_2E2: 
      !>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).

tff(func_def_25,type,
    c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).

tff(func_def_26,type,
    c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_27,type,
    c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_28,type,
    c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).

tff(func_def_29,type,
    c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).

tff(func_def_30,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).

tff(func_def_31,type,
    sK1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).

tff(func_def_32,type,
    sK2: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).

tff(func_def_33,type,
    sK3: 
      !>[X0: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) ) > X0 ) ).

tff(func_def_34,type,
    sK5: tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool) ).

tff(pred_def_1,type,
    p: tyop_2Emin_2Ebool > $o ).

tff(f21,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ECHOICE_2E1(X0,X1) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X0,c_2Epred__set_2ECHOICE_2E0(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Epred__set_2ECHOICE_2E1_2Emono_2EA_27a) ).

tff(f22,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: X0] : ( c_2Epred__set_2EDELETE_2E2(X0,X1,X2) = app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Epred__set_2EDELETE_2E0(X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Epred__set_2EDELETE_2E2_2Emono_2EA_27a) ).

tff(f23,axiom,
    ! [X0: $tType,X1: X0,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Ebool_2EIN_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a) ).

tff(f24,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Epred__set_2EREST_2E1_2Emono_2EA_27a) ).

tff(f25,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ESUBSET_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2EA_27a) ).

tff(f28,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
    <=> ! [X3: X0] :
          ( p(c_2Ebool_2EIN_2E2(X0,X3,X1))
         => p(c_2Ebool_2EIN_2E2(X0,X3,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2ESUBSET__DEF) ).

tff(f29,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: X0,X3: X0] :
      ( p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3)))
    <=> ( p(c_2Ebool_2EIN_2E2(X0,X2,X1))
        & ( X2 != X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EIN__DELETE) ).

tff(f30,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = c_2Epred__set_2EDELETE_2E2(X0,X1,c_2Epred__set_2ECHOICE_2E1(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__DEF) ).

tff(f31,conjecture,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EREST__SUBSET) ).

tff(f32,negated_conjecture,
    ~ ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1)),
    inference(negated_conjecture,[status(cth)],[f31]) ).

tff(f38,plain,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2))
    <=> ! [X3: X0] :
          ( p(c_2Ebool_2EIN_2E2(X0,X3,X2))
          | ~ p(c_2Ebool_2EIN_2E2(X0,X3,X1)) ) ),
    inference(ennf_transformation,[],[f28]) ).

tff(f39,plain,
    ? [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ~ p(c_2Epred__set_2ESUBSET_2E2(X0,c_2Epred__set_2EREST_2E1(X0,X1),X1)),
    inference(ennf_transformation,[],[f32]) ).

tff(f76,plain,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ECHOICE_2E1(X0,X1) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X0,c_2Epred__set_2ECHOICE_2E0(X0),X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f77,plain,
    ! [X0: $tType,X2: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EDELETE_2E2(X0,X1,X2) = app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Epred__set_2EDELETE_2E0(X0),X1),X2) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f78,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: X0] : ( c_2Ebool_2EIN_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),X1),X2) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f79,plain,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(X0),X1) ),
    inference(cnf_transformation,[],[f24]) ).

tff(f80,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2ESUBSET_2E2(X0,X1,X2) = app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2) ),
    inference(cnf_transformation,[],[f25]) ).

tff(f87,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(c_2Ebool_2EIN_2E2(X0,sK3(X0,X1,X2),X1))
      | p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f88,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( ~ p(c_2Ebool_2EIN_2E2(X0,sK3(X0,X1,X2),X2))
      | p(c_2Epred__set_2ESUBSET_2E2(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f90,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(c_2Ebool_2EIN_2E2(X0,X2,X1))
      | ~ p(c_2Ebool_2EIN_2E2(X0,X2,c_2Epred__set_2EDELETE_2E2(X0,X1,X3))) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f92,plain,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( c_2Epred__set_2EREST_2E1(X0,X1) = c_2Epred__set_2EDELETE_2E2(X0,X1,c_2Epred__set_2ECHOICE_2E1(X0,X1)) ),
    inference(cnf_transformation,[],[f30]) ).

tff(f93,plain,
    ~ p(c_2Epred__set_2ESUBSET_2E2(sK4,c_2Epred__set_2EREST_2E1(sK4,sK5),sK5)),
    inference(cnf_transformation,[],[f39]) ).

tff(f98,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2))
      | ~ p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),sK3(X0,X1,X2)),X2)) ),
    inference(definition_unfolding,[],[f88,f78,f80]) ).

tff(f99,plain,
    ! [X0: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(X0),X1),X2))
      | p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),sK3(X0,X1,X2)),X1)) ),
    inference(definition_unfolding,[],[f87,f78,f80]) ).

tff(f102,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] :
      ( p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),X2),X1))
      | ~ p(app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(X0,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(X0),X2),app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Epred__set_2EDELETE_2E0(X0),X1),X3))) ),
    inference(definition_unfolding,[],[f90,f78,f78,f77]) ).

tff(f104,plain,
    ! [X0: $tType,X1: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)] : ( app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(X0),X1) = app_2E2(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),c_2Epred__set_2EDELETE_2E0(X0),X1),app_2E2(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X0,c_2Epred__set_2ECHOICE_2E0(X0),X1)) ),
    inference(definition_unfolding,[],[f92,f79,f77,f76]) ).

tff(f105,plain,
    ~ p(app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Epred__set_2ESUBSET_2E0(sK4),app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5)),sK5)),
    inference(definition_unfolding,[],[f93,f80,f79]) ).

tff(f451,plain,
    ~ p(app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(sK4,tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(sK4),sK3(sK4,app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5),sK5)),sK5)),
    inference(resolution,[],[f98,f105]) ).

tff(f459,plain,
    p(app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(sK4,tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(sK4),sK3(sK4,app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5),sK5)),app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5))),
    inference(resolution,[],[f99,f105]) ).

tff(f539,plain,
    ! [X0: sK4] : ~ p(app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(sK4,tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(sK4),sK3(sK4,app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5),sK5)),app_2E2(sK4,tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool)),c_2Epred__set_2EDELETE_2E0(sK4),sK5),X0))),
    inference(resolution,[],[f451,f102]) ).

tff(f23340,plain,
    ~ p(app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool,app_2E2(sK4,tyop_2Emin_2Efun(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2EIN_2E0(sK4),sK3(sK4,app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5),sK5)),app_2E2(tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(sK4,tyop_2Emin_2Ebool),c_2Epred__set_2EREST_2E0(sK4),sK5))),
    inference(superposition,[],[f539,f104]) ).

tff(f23383,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f23340,f459]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP004_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n001.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 11:56:09 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  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
% 7.01/1.59  % (3421979)Will run a generic schedule for satisfiability detection.
% 7.01/1.59  % (3421985)% WARNING: option uhcvi not known.
% 7.01/1.59  % (3421985)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3697217284:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.01/1.59  % (3421988)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2102895360:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.01/1.59  % (3421984)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=859386414_2999 on theBenchmark for (2999ds/0Mi)
% 7.01/1.59  % (3421986)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4092736625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.01/1.59  % (3421989)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2204056691:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.01/1.59  % (3421987)dis+10_1_sil=32000:sp=arity:random_seed=2003048670:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.01/1.59  % (3421990)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1799154108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.01/1.59  % Exception at run slice level
% 7.01/1.59  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.01/1.59  % (3421998)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2330810414:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.01/1.59  % Exception at run slice level
% 7.01/1.59  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.01/1.59  % (3422000)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2639735490:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.01/1.59  % (3421987)Instruction limit reached! 
% 7.01/1.59  % (3421987)------------------------------
% 7.01/1.59  % (3421987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.59  % (3421987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.59  % (3421987)CaDiCaL version: 2.1.3
% 7.01/1.59  % (3421987)Termination reason: Instruction limit
% 7.01/1.59  % (3421987)Termination phase: Saturation
% 7.01/1.59  % (3421987)Time elapsed: 0.059 s
% 7.01/1.59  % (3421987)Peak memory usage: 12 MB
% 7.01/1.59  % (3421987)Instructions burned: 104 (million)
% 7.01/1.59  % (3421988)Instruction limit reached! 
% 7.01/1.59  % (3421988)------------------------------
% 7.01/1.59  % (3421988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.59  % (3421988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.59  % (3421988)CaDiCaL version: 2.1.3
% 7.01/1.59  % (3421988)Termination reason: Instruction limit
% 7.01/1.59  % (3421988)Termination phase: Saturation
% 7.01/1.59  % (3421988)Time elapsed: 0.068 s
% 7.01/1.59  % (3421988)Peak memory usage: 13 MB
% 7.01/1.59  % (3421988)Instructions burned: 116 (million)
% 7.01/1.59  % (3421989)Instruction limit reached! 
% 7.01/1.59  % (3421989)------------------------------
% 7.01/1.59  % (3421989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.59  % (3421989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.59  % (3421989)CaDiCaL version: 2.1.3
% 7.01/1.59  % (3421989)Termination reason: Instruction limit
% 7.01/1.59  % (3421989)Termination phase: Saturation
% 7.01/1.59  % (3421989)Time elapsed: 0.075 s
% 7.01/1.59  % (3421989)Peak memory usage: 12 MB
% 7.01/1.59  % (3421989)Instructions burned: 132 (million)
% 7.01/1.59  % (3422002)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4188264344:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.01/1.59  % (3422003)ott-21_1_sil=16000:fs=off:random_seed=1569172291:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.01/1.59  % (3421990)Instruction limit reached! 
% 7.01/1.59  % (3421990)------------------------------
% 7.01/1.59  % (3421990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.59  % (3421990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.59  % (3421990)CaDiCaL version: 2.1.3
% 7.01/1.59  % (3421990)Termination reason: Instruction limit
% 7.01/1.59  % (3421990)Termination phase: Saturation
% 7.01/1.59  % (3421990)Time elapsed: 0.092 s
% 7.01/1.59  % (3421990)Peak memory usage: 13 MB
% 7.01/1.59  % (3421990)Instructions burned: 160 (million)
% 7.01/1.59  % (3422004)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2509817317:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.04/1.88  % (3422007)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=678725751:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422000)Instruction limit reached! 
% 8.04/1.88  % (3422000)------------------------------
% 8.04/1.88  % (3422000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422000)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422000)Termination reason: Instruction limit
% 8.04/1.88  % (3422000)Termination phase: Saturation
% 8.04/1.88  % (3422000)Time elapsed: 0.072 s
% 8.04/1.88  % (3422000)Peak memory usage: 12 MB
% 8.04/1.88  % (3422000)Instructions burned: 131 (million)
% 8.04/1.88  % (3422010)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=918765485:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.04/1.88  % (3422011)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1791409388:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422014)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3872216190:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 8.04/1.88  % (3422003)Instruction limit reached! 
% 8.04/1.88  % (3422003)------------------------------
% 8.04/1.88  % (3422003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422003)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422003)Termination reason: Instruction limit
% 8.04/1.88  % (3422003)Termination phase: Saturation
% 8.04/1.88  % (3422003)Time elapsed: 0.093 s
% 8.04/1.88  % (3422003)Peak memory usage: 13 MB
% 8.04/1.88  % (3422003)Instructions burned: 182 (million)
% 8.04/1.88  % (3422016)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3184064462:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 8.04/1.88  % (3422004)Instruction limit reached! 
% 8.04/1.88  % (3422004)------------------------------
% 8.04/1.88  % (3422004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422004)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422004)Termination reason: Instruction limit
% 8.04/1.88  % (3422004)Termination phase: Saturation
% 8.04/1.88  % (3422004)Time elapsed: 0.273 s
% 8.04/1.88  % (3422004)Peak memory usage: 13 MB
% 8.04/1.88  % (3422004)Instructions burned: 477 (million)
% 8.04/1.88  % (3422018)fmb+10_1_sil=64000:random_seed=2184498980:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 8.04/1.88  % (3422018)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422020)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=743326637:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422002)Instruction limit reached! 
% 8.04/1.88  % (3422002)------------------------------
% 8.04/1.88  % (3422002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422002)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422002)Termination reason: Instruction limit
% 8.04/1.88  % (3422002)Termination phase: Saturation
% 8.04/1.88  % (3422002)Time elapsed: 0.331 s
% 8.04/1.88  % (3422002)Peak memory usage: 15 MB
% 8.04/1.88  % (3422002)Instructions burned: 684 (million)
% 8.04/1.88  % (3422022)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3166363859:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422023)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=101879055:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 8.04/1.88  % (3422026)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=721795288:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 8.04/1.88  % (3422026)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 8.04/1.88  % (3422014)Instruction limit reached! 
% 8.04/1.88  % (3422014)------------------------------
% 8.04/1.88  % (3422014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422014)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422014)Termination reason: Instruction limit
% 8.04/1.88  % (3422014)Termination phase: Saturation
% 8.04/1.88  % (3422014)Time elapsed: 0.354 s
% 8.04/1.88  % (3422014)Peak memory usage: 15 MB
% 8.04/1.88  % (3422014)Instructions burned: 692 (million)
% 8.04/1.88  % (3422028)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1230671216:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422030)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3369449251:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422032)ott-2_1_sil=16000:newcnf=on:random_seed=2281449281:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 8.04/1.88  % (3422016)Instruction limit reached! 
% 8.04/1.88  % (3422016)------------------------------
% 8.04/1.88  % (3422016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422016)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422016)Termination reason: Instruction limit
% 8.04/1.88  % (3422016)Termination phase: Saturation
% 8.04/1.88  % (3422016)Time elapsed: 0.486 s
% 8.04/1.88  % (3422016)Peak memory usage: 19 MB
% 8.04/1.88  % (3422016)Instructions burned: 880 (million)
% 8.04/1.88  % (3422034)ott+10_1_sil=32000:tgt=ground:random_seed=1565742634:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 8.04/1.88  % (3422010)Instruction limit reached! 
% 8.04/1.88  % (3422010)------------------------------
% 8.04/1.88  % (3422010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422010)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422010)Termination reason: Instruction limit
% 8.04/1.88  % (3422010)Termination phase: Saturation
% 8.04/1.88  % (3422010)Time elapsed: 0.666 s
% 8.04/1.88  % (3422010)Peak memory usage: 18 MB
% 8.04/1.88  % (3422010)Instructions burned: 1179 (million)
% 8.04/1.88  % (3422036)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=18533389:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 8.04/1.88  % Exception at run slice level
% 8.04/1.88  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.04/1.88  % (3422038)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=533284012:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 8.04/1.88  % (3422032)Instruction limit reached! 
% 8.04/1.88  % (3422032)------------------------------
% 8.04/1.88  % (3422032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422032)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422032)Termination reason: Instruction limit
% 8.04/1.88  % (3422032)Termination phase: Saturation
% 8.04/1.88  % (3422032)Time elapsed: 0.443 s
% 8.04/1.88  % (3422032)Peak memory usage: 16 MB
% 8.04/1.88  % (3422032)Instructions burned: 871 (million)
% 8.04/1.88  % (3422040)dis+21_1_sil=32000:sas=cadical:random_seed=3678521563:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 8.04/1.88  % (3422026)Instruction limit reached! 
% 8.04/1.88  % (3422026)------------------------------
% 8.04/1.88  % (3422026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.88  % (3422026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.88  % (3422026)CaDiCaL version: 2.1.3
% 8.04/1.88  % (3422026)Termination reason: Instruction limit
% 8.04/1.88  % (3422026)Termination phase: Saturation
% 8.04/1.88  % (3422026)Time elapsed: 0.678 s
% 8.04/1.88  % (3422026)Peak memory usage: 17 MB
% 8.04/1.88  % (3422026)Instructions burned: 1474 (million)
% 8.04/1.88  % (3422042)ott+11_1_sil=16000:gs=on:random_seed=3509033521:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 8.04/1.88  % (3422023) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3421979-3422023"...
% 8.04/1.88  % (3422023)...printing done.
% 8.04/1.88  % (3422023)Refutation found. Thanks to Tanya!
% 8.04/1.88  % SZS status Theorem for theBenchmark
% 8.04/1.88  % SZS output start Proof for theBenchmark
% See solution above
% 8.04/1.89  % (3422023)------------------------------
% 8.04/1.89  % (3422023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.89  % (3422023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.89  % (3422023)CaDiCaL version: 2.1.3
% 8.04/1.89  % (3422023)Termination reason: Refutation
% 8.04/1.89  % (3422023)Time elapsed: 0.980 s
% 8.04/1.89  % (3422023)Peak memory usage: 20 MB
% 8.04/1.89  % (3422023)Instructions burned: 1862 (million)
% 8.04/1.89  % (3421979)Success in time 1.463 s
% 8.04/1.89  % Vampire exiting
%------------------------------------------------------------------------------