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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP013_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 : n013.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 11:34:59 AM UTC 2026

% Result   : Theorem 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   39 (  31 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (  40 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   22 (   8   ~;   2   |;   6   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   43 (  43 usr;  11 con; 0-4 aty)
%            Number of variables   :   85 (  82   !;   3   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    tyop_2Efcp_2Ecart: ( $tType * $tType ) > $tType ).

tff(type_def_6,type,
    tyop_2Emin_2Ebool: $tType ).

tff(type_def_7,type,
    tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).

tff(type_def_8,type,
    tyop_2Enum_2Enum: $tType ).

tff(type_def_9,type,
    sK3: $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_2Earithmetic_2E_2B_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).

tff(func_def_7,type,
    c_2Earithmetic_2E_2B_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).

tff(func_def_8,type,
    c_2Earithmetic_2E_2D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum)) ).

tff(func_def_9,type,
    c_2Earithmetic_2E_2D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Enum_2Enum ).

tff(func_def_10,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_11,type,
    c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_12,type,
    c_2Earithmetic_2E_3C_3D_2E0: tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool)) ).

tff(func_def_13,type,
    c_2Earithmetic_2E_3C_3D_2E2: ( tyop_2Enum_2Enum * tyop_2Enum_2Enum ) > tyop_2Emin_2Ebool ).

tff(func_def_14,type,
    c_2Emin_2E_3D_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).

tff(func_def_15,type,
    c_2Emin_2E_3D_2E2: 
      !>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).

tff(func_def_16,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_17,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_18,type,
    c_2Ebool_2E_3F_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_19,type,
    c_2Ebool_2E_3F_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_20,type,
    c_2Ebool_2ECOND_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0))) ).

tff(func_def_21,type,
    c_2Ebool_2ECOND_2E3: 
      !>[X0: $tType] : ( ( tyop_2Emin_2Ebool * X0 * X0 ) > X0 ) ).

tff(func_def_22,type,
    c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).

tff(func_def_23,type,
    c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).

tff(func_def_24,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_25,type,
    c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_26,type,
    c_2Ewords_2En2w_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).

tff(func_def_27,type,
    c_2Ewords_2En2w_2E1: 
      !>[X0: $tType] : ( tyop_2Enum_2Enum > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).

tff(func_def_28,type,
    c_2Ewords_2Eword__2comp_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)) ).

tff(func_def_29,type,
    c_2Ewords_2Eword__2comp_2E1: 
      !>[X0: $tType] : ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).

tff(func_def_30,type,
    c_2Ewords_2Eword__add_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).

tff(func_def_31,type,
    c_2Ewords_2Eword__add_2E2: 
      !>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).

tff(func_def_32,type,
    c_2Ewords_2Eword__sub_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))) ).

tff(func_def_33,type,
    c_2Ewords_2Eword__sub_2E2: 
      !>[X0: $tType] : ( ( tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) * tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) > tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0) ) ).

tff(func_def_34,type,
    c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).

tff(func_def_35,type,
    c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).

tff(func_def_36,type,
    sK0: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * tyop_2Emin_2Efun(X0,X1) ) > X0 ) ).

tff(func_def_37,type,
    sK1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).

tff(func_def_38,type,
    sK2: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > X0 ) ).

tff(func_def_39,type,
    sK4: tyop_2Enum_2Enum ).

tff(func_def_40,type,
    sK5: tyop_2Enum_2Enum ).

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

tff(f18,axiom,
    ! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).

tff(f20,axiom,
    ! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).

tff(f24,axiom,
    ! [X0: $tType,X1: tyop_2Emin_2Ebool,X2: X0,X3: X0] : ( c_2Ebool_2ECOND_2E3(X0,X1,X2,X3) = app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),X1),X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a) ).

tff(f27,axiom,
    ! [X0: $tType,X1: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a) ).

tff(f29,axiom,
    ! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__2comp_2E1(X0,X1) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a) ).

tff(f31,axiom,
    ! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__add_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a) ).

tff(f33,axiom,
    ! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a) ).

tff(f39,axiom,
    ! [X0: tyop_2Emin_2Ebool] :
      ( ( ( c_2Ebool_2ET_2E0 = X0 )
      <=> p(X0) )
      & ( ( X0 = c_2Ebool_2ET_2E0 )
      <=> p(X0) )
      & ( ( c_2Ebool_2EF_2E0 = X0 )
      <=> ~ p(X0) )
      & ( ( X0 = c_2Ebool_2EF_2E0 )
      <=> ~ p(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).

tff(f43,axiom,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X1,X2) = X1 )
      & ! [X3: X0,X4: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2EF_2E0,X3,X4) = X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).

tff(f44,axiom,
    ! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).

tff(f45,axiom,
    ! [X0: $tType,X1: $tType] :
      ( ! [X2: tyop_2Enum_2Enum,X3: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X0,c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X2)),c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,X3))) = c_2Ewords_2Eword__2comp_2E1(X0,c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2B_2E2(X2,X3))) )
      & ! [X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X4),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X5))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X5,X4),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X4,X5)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X5,X4)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).

tff(f46,conjecture,
    ! [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
      ( p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1))
     => ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).

tff(f47,negated_conjecture,
    ~ ! [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
        ( p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1))
       => ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) = c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

tff(f60,plain,
    ? [X0: $tType,X1: tyop_2Enum_2Enum,X2: tyop_2Enum_2Enum] :
      ( ( c_2Ewords_2En2w_2E1(X0,c_2Earithmetic_2E_2D_2E2(X1,X2)) != c_2Ewords_2Eword__sub_2E2(X0,c_2Ewords_2En2w_2E1(X0,X1),c_2Ewords_2En2w_2E1(X0,X2)) )
      & p(c_2Earithmetic_2E_3C_3D_2E2(X2,X1)) ),
    inference(ennf_transformation,[],[f47]) ).

tff(f89,plain,
    ! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_2D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X0),X1) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f93,plain,
    ! [X0: tyop_2Enum_2Enum,X1: tyop_2Enum_2Enum] : ( c_2Earithmetic_2E_3C_3D_2E2(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f100,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: tyop_2Emin_2Ebool] : ( c_2Ebool_2ECOND_2E3(X0,X1,X2,X3) = app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),X1),X2),X3) ),
    inference(cnf_transformation,[],[f24]) ).

tff(f105,plain,
    ! [X0: $tType,X1: tyop_2Enum_2Enum] : ( c_2Ewords_2En2w_2E1(X0,X1) = app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),X1) ),
    inference(cnf_transformation,[],[f27]) ).

tff(f107,plain,
    ! [X0: $tType,X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__2comp_2E1(X0,X1) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X1) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f109,plain,
    ! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__add_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),X2) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f111,plain,
    ! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) ),
    inference(cnf_transformation,[],[f33]) ).

tff(f127,plain,
    ! [X0: tyop_2Emin_2Ebool] :
      ( ~ p(X0)
      | ( c_2Ebool_2ET_2E0 = X0 ) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f143,plain,
    ! [X0: $tType,X2: X0,X1: X0] : ( c_2Ebool_2ECOND_2E3(X0,c_2Ebool_2ET_2E0,X1,X2) = X1 ),
    inference(cnf_transformation,[],[f43]) ).

tff(f144,plain,
    ! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( c_2Ewords_2Eword__sub_2E2(X0,X1,X2) = c_2Ewords_2Eword__add_2E2(X0,X1,c_2Ewords_2Eword__2comp_2E1(X0,X2)) ),
    inference(cnf_transformation,[],[f44]) ).

tff(f145,plain,
    ! [X1: $tType,X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( c_2Ewords_2Eword__add_2E2(X1,c_2Ewords_2En2w_2E1(X1,X4),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,X5))) = c_2Ebool_2ECOND_2E3(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Earithmetic_2E_3C_3D_2E2(X5,X4),c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X4,X5)),c_2Ewords_2Eword__2comp_2E1(X1,c_2Ewords_2En2w_2E1(X1,c_2Earithmetic_2E_2D_2E2(X5,X4)))) ),
    inference(cnf_transformation,[],[f45]) ).

tff(f147,plain,
    p(c_2Earithmetic_2E_3C_3D_2E2(sK5,sK4)),
    inference(cnf_transformation,[],[f60]) ).

tff(f148,plain,
    c_2Ewords_2En2w_2E1(sK3,c_2Earithmetic_2E_2D_2E2(sK4,sK5)) != c_2Ewords_2Eword__sub_2E2(sK3,c_2Ewords_2En2w_2E1(sK3,sK4),c_2Ewords_2En2w_2E1(sK3,sK5)),
    inference(cnf_transformation,[],[f60]) ).

tff(f160,plain,
    ! [X0: $tType,X2: X0,X1: X0] : ( app_2E2(X0,X0,app_2E2(X0,tyop_2Emin_2Efun(X0,X0),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,X0)),c_2Ebool_2ECOND_2E0(X0),c_2Ebool_2ET_2E0),X1),X2) = X1 ),
    inference(definition_unfolding,[],[f143,f100]) ).

tff(f162,plain,
    ! [X0: $tType,X2: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),X1: tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),X1),X2) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__add_2E0(X0),X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),X2)) ),
    inference(definition_unfolding,[],[f144,f111,f109,f107]) ).

tff(f164,plain,
    ! [X1: $tType,X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__add_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X4)),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X5))) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X5),X4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X4),X5))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X5),X4)))) ),
    inference(definition_unfolding,[],[f145,f109,f105,f107,f105,f100,f93,f105,f89,f107,f105,f89]) ).

tff(f165,plain,
    app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E0(sK3),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK4),sK5)) != app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3)),c_2Ewords_2Eword__sub_2E0(sK3),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E0(sK3),sK4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E0(sK3),sK5)),
    inference(definition_unfolding,[],[f148,f105,f89,f111,f105,f105]) ).

tff(f166,plain,
    p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,sK5),sK4)),
    inference(definition_unfolding,[],[f147,f93]) ).

tff(f240,plain,
    ! [X0: tyop_2Emin_2Ebool] :
      ( p(X0)
      | ( c_2Ebool_2ET_2E0 = X0 ) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

tff(f251,plain,
    ~ p(app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,sK5),sK4)),
    inference(consistent_polarity_flipping,[],[f166]) ).

tff(f281,plain,
    c_2Ebool_2ET_2E0 = app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,sK5),sK4),
    inference(resolution,[],[f240,f251]) ).

tff(f1188,plain,
    ! [X1: $tType,X4: tyop_2Enum_2Enum,X5: tyop_2Enum_2Enum] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Ebool,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Earithmetic_2E_3C_3D_2E0,X5),X4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X4),X5))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,X5),X4)))) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1)),c_2Ewords_2Eword__sub_2E0(X1),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E0(X1),X5)) ),
    inference(forward_demodulation,[],[f164,f162]) ).

tff(f1189,plain,
    ! [X0: $tType] : ( app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK5)) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),app_2E2(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0))),c_2Ebool_2ECOND_2E0(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ebool_2ET_2E0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK4),sK5))),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2Eword__2comp_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK5),sK4)))) ),
    inference(superposition,[],[f1188,f281]) ).

tff(f1198,plain,
    ! [X0: $tType] : ( app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Enum_2Enum,app_2E2(tyop_2Enum_2Enum,tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Enum_2Enum),c_2Earithmetic_2E_2D_2E0,sK4),sK5)) = app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),app_2E2(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Emin_2Efun(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0)),c_2Ewords_2Eword__sub_2E0(X0),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK4)),app_2E2(tyop_2Enum_2Enum,tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E0(X0),sK5)) ),
    inference(forward_demodulation,[],[f1189,f160]) ).

tff(f1285,plain,
    $false,
    inference(backward_subsumption_resolution,[],[f165,f1198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP013_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n013.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 11:59:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 0.16/0.50  % (102084)Will run a generic schedule for satisfiability detection.
% 0.16/0.50  % (102095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4250991457_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50  % Exception at run slice level
% 0.16/0.50  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.50  % (102096)% WARNING: option uhcvi not known.
% 0.16/0.50  % (102098)dis+10_1_sil=32000:sp=arity:random_seed=4124936751:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50  % (102099)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3228718491:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50  % (102096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2420546676:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50  % (102097)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1632792022:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50  % (102100)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2480111898:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50  % (102101)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1302920683:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50  % (102107)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=592682652:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.50  % Exception at run slice level
% 0.16/0.50  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.50  % (102119)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=705923068:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50  % (102096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-102084-102096"...
% 0.16/0.50  % (102096)...printing done.
% 0.16/0.50  % (102096)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Theorem for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (102096)------------------------------
% 0.16/0.50  % (102096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50  % (102096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50  % (102096)CaDiCaL version: 2.1.3
% 0.16/0.50  % (102096)Termination reason: Refutation
% 0.16/0.50  % (102096)Time elapsed: 0.039 s
% 0.16/0.50  % (102096)Peak memory usage: 12 MB
% 0.16/0.50  % (102096)Instructions burned: 61 (million)
% 0.16/0.50  % (102084)Success in time 0.081 s
% 0.16/0.50  % Vampire exiting
%------------------------------------------------------------------------------