%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Wed Sep 30 08:07:45 AM UTC 2026
% Result : Theorem 1.77s 0.52s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 35 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 940 ( 8 ~; 0 |; 8 &; 920 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 78 usr; 29 con; 0-4 aty)
% Number of variables : 66 ( 0 ^; 60 !; 6 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
u: $tType ).
thf(type_def_6,type,
d: $tType ).
thf(type_def_7,type,
du: $tType ).
thf(type_def_8,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
tyop_2Efcp_2Ecart: d > d > d ).
thf(func_def_1,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_2,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_3,type,
tyop_2Enum_2Enum: d ).
thf(func_def_4,type,
s: d > u > du ).
thf(func_def_5,type,
app_2E2: du > du > u ).
thf(func_def_6,type,
combin_i_2E0: u ).
thf(func_def_7,type,
combin_k_2E0: u ).
thf(func_def_8,type,
combin_s_2E0: u ).
thf(func_def_9,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_10,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_11,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(func_def_12,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(func_def_13,type,
c_2Earithmetic_2E_2D_2E0: u ).
thf(func_def_14,type,
c_2Earithmetic_2E_2D_2E2: du > du > u ).
thf(func_def_15,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_16,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_17,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(func_def_18,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(func_def_19,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_20,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_21,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_22,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_23,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_24,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_25,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_26,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_27,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_28,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_29,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_30,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_31,type,
c_2Ewords_2En2w_2E0: u ).
thf(func_def_32,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(func_def_33,type,
c_2Ewords_2Eword__2comp_2E0: u ).
thf(func_def_34,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
thf(func_def_35,type,
c_2Ewords_2Eword__add_2E0: u ).
thf(func_def_36,type,
c_2Ewords_2Eword__add_2E2: du > du > u ).
thf(func_def_37,type,
c_2Ewords_2Eword__sub_2E0: u ).
thf(func_def_38,type,
c_2Ewords_2Eword__sub_2E2: du > du > u ).
thf(func_def_39,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_40,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_41,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_42,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_43,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_44,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_45,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_46,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_47,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_48,type,
mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_49,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_50,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_51,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_52,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(func_def_53,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(func_def_54,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_55,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_56,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_57,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_58,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_59,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_60,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_61,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_62,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_63,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(func_def_64,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_65,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_66,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_67,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_68,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_69,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_70,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_71,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(func_def_73,type,
vNOT: $o > $o ).
thf(func_def_76,type,
sK0: d ).
thf(func_def_77,type,
sK1: mono_2Etyop_2Enum_2Enum ).
thf(func_def_78,type,
sK2: mono_2Etyop_2Enum_2Enum ).
thf(func_def_79,type,
sK3: u > u > d > d > u ).
thf(f52,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f60,axiom,
! [X0: d] :
( ! [X2: u,X1: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) )
& ! [X4: u,X3: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) )
= ( s @ X0 @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
thf(f61,axiom,
! [X1: u,X2: u,X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X2 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
thf(f62,axiom,
! [X1: d,X0: d] :
( ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X5 @ X4 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X4 @ X5 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X5 @ X4 ) ) ) ) ) ) ) ) ) )
& ! [X3: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X2 @ X3 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
thf(f63,conjecture,
! [X2: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X0: d] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X1 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X2 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
thf(f64,negated_conjecture,
~ ! [X2: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X0: d] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X1 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X2 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
thf(f87,plain,
~ ! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: d] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0 ) ) ) ) ) ) ),
inference(rectify,[],[f64]) ).
thf(f88,plain,
~ ! [X1: mono_2Etyop_2Enum_2Enum,X2: d,X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1 )
= $true )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f87]) ).
thf(f89,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f52]) ).
thf(f90,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[],[f89]) ).
thf(f105,plain,
! [X0: d] :
( ! [X4: u,X3: u] :
( ( s @ X0 @ X3 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) )
& ! [X1: u,X2: u] :
( ( s @ X0 @ X2 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f60]) ).
thf(f113,plain,
? [X2: d,X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0 ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f88]) ).
thf(f121,plain,
? [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X1 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X1 @ X2 )
= $true ) ),
inference(rectify,[],[f113]) ).
thf(f122,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK1 ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK1 @ sK2 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f121]) ).
thf(f123,plain,
! [X0: d] :
( ! [X1: u,X2: u] :
( ( s @ X0 @ X2 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ) ),
inference(rectify,[],[f105]) ).
thf(f135,plain,
! [X0: d,X1: d] :
( ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X3 @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2 ) ) ) ) ) ) ) ) ) )
& ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X5 @ X4 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f62]) ).
thf(f146,plain,
! [X0: u,X1: u,X2: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X1 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X1 ) ) ) ) ) ),
inference(rectify,[],[f61]) ).
thf(f155,plain,
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK1 @ sK2 )
= $true ),
inference(cnf_transformation,[],[f122]) ).
thf(f156,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f158,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ),
inference(cnf_transformation,[],[f123]) ).
thf(f161,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[],[f90]) ).
thf(f187,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X3 @ X2 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f135]) ).
thf(f216,plain,
! [X2: d,X0: u,X1: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X1 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ X1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f146]) ).
thf(f235,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ),
inference(definition_unfolding,[],[f158,f161]) ).
thf(f312,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK1 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK1 @ sK2 ) ) ) ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f187,f155]) ).
thf(f313,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK1 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) ) ),
inference(forward_demodulation,[],[f312,f235]) ).
thf(f314,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK1 ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f313,f216]) ).
thf(f315,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK2 @ sK1 ) ) ) ) ) ),
inference(backward_demodulation,[],[f156,f314]) ).
thf(f348,plain,
$false,
inference(trivial_inequality_removal,[],[f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.16 % Computer : n015.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Sep 29 19:30:03 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 Running higher-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % (3994474)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (3994483)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=394023225:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (3994483)Instruction limit reached!
% 0.21/0.35 % (3994483)------------------------------
% 0.21/0.35 % (3994483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3994483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3994483)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3994483)Termination reason: Instruction limit
% 0.21/0.35 % (3994483)Termination phase: Property scanning
% 0.21/0.35 % (3994483)Time elapsed: 0.005 s
% 0.21/0.35 % (3994483)Peak memory usage: 10 MB
% 0.21/0.35 % (3994483)Instructions burned: 25 (million)
% 0.21/0.35 % (3994480)lrs+10_16_si=on:nwc=1.5:random_seed=2080531748:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (3994479)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=360111488:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (3994481)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=111816760:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (3994482)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=483399467:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.35 % (3994485)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (3994485)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.35 % (3994481)Instruction limit reached!
% 0.21/0.35 % (3994481)------------------------------
% 0.21/0.35 % (3994481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3994481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3994481)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3994481)Termination reason: Instruction limit
% 0.21/0.35 % (3994481)Termination phase: shuffling
% 0.21/0.35 % (3994481)Time elapsed: 0.003 s
% 0.21/0.35 % (3994481)Peak memory usage: 9 MB
% 0.21/0.35 % (3994481)Instructions burned: 9 (million)
% 0.21/0.35 % (3994485)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2005840108:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (3994480)Instruction limit reached!
% 0.21/0.35 % (3994480)------------------------------
% 0.21/0.35 % (3994480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3994480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3994480)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3994480)Termination reason: Instruction limit
% 0.21/0.35 % (3994480)Termination phase: Function definition elimination
% 0.21/0.35 % (3994480)Time elapsed: 0.008 s
% 0.21/0.35 % (3994480)Peak memory usage: 10 MB
% 0.21/0.35 % (3994480)Instructions burned: 20 (million)
% 0.21/0.35 % (3994484)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1990760286:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (3994487)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=279388468:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (3994487)Instruction limit reached!
% 0.21/0.35 % (3994487)------------------------------
% 0.21/0.35 % (3994487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3994487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3994487)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3994487)Termination reason: Instruction limit
% 0.21/0.35 % (3994487)Termination phase: Property scanning
% 0.21/0.35 % (3994487)Time elapsed: 0.002 s
% 0.21/0.35 % (3994487)Peak memory usage: 10 MB
% 0.21/0.35 % (3994487)Instructions burned: 5 (million)
% 0.21/0.35 % (3994493)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2829974482:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.38 % (3994495)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.38 % (3994493)Instruction limit reached!
% 0.90/0.38 % (3994493)------------------------------
% 0.90/0.38 % (3994493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994493)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994493)Termination reason: Instruction limit
% 0.90/0.38 % (3994493)Termination phase: Preprocessing 1
% 0.90/0.38 % (3994493)Time elapsed: 0.004 s
% 0.90/0.38 % (3994493)Peak memory usage: 10 MB
% 0.90/0.38 % (3994493)Instructions burned: 8 (million)
% 0.90/0.38 % (3994495)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1367598988:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.38 % (3994495)Instruction limit reached!
% 0.90/0.38 % (3994495)------------------------------
% 0.90/0.38 % (3994495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994495)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994495)Termination reason: Instruction limit
% 0.90/0.38 % (3994495)Termination phase: shuffling
% 0.90/0.38 % (3994495)Time elapsed: 0.003 s
% 0.90/0.38 % (3994495)Peak memory usage: 9 MB
% 0.90/0.38 % (3994495)Instructions burned: 8 (million)
% 0.90/0.38 % (3994497)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=465205652:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.38 % (3994479)Instruction limit reached!
% 0.90/0.38 % (3994479)------------------------------
% 0.90/0.38 % (3994479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994479)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994479)Termination reason: Instruction limit
% 0.90/0.38 % (3994479)Termination phase: Saturation
% 0.90/0.38 % (3994479)Time elapsed: 0.040 s
% 0.90/0.38 % (3994479)Peak memory usage: 12 MB
% 0.90/0.38 % (3994479)Instructions burned: 87 (million)
% 0.90/0.38 % (3994500)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.38 % (3994500)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.38 % (3994497)Instruction limit reached!
% 0.90/0.38 % (3994497)------------------------------
% 0.90/0.38 % (3994497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994497)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994497)Termination reason: Instruction limit
% 0.90/0.38 % (3994497)Termination phase: Preprocessing 3
% 0.90/0.38 % (3994497)Time elapsed: 0.005 s
% 0.90/0.38 % (3994497)Peak memory usage: 10 MB
% 0.90/0.38 % (3994497)Instructions burned: 12 (million)
% 0.90/0.38 % (3994484)Instruction limit reached!
% 0.90/0.38 % (3994484)------------------------------
% 0.90/0.38 % (3994484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994484)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994484)Termination reason: Instruction limit
% 0.90/0.38 % (3994484)Termination phase: Saturation
% 0.90/0.38 % (3994484)Time elapsed: 0.036 s
% 0.90/0.38 % (3994484)Peak memory usage: 13 MB
% 0.90/0.38 % (3994484)Instructions burned: 75 (million)
% 0.90/0.38 % (3994485)Instruction limit reached!
% 0.90/0.38 % (3994485)------------------------------
% 0.90/0.38 % (3994485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (3994485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (3994485)CaDiCaL version: 2.1.3
% 0.90/0.38 % (3994485)Termination reason: Instruction limit
% 0.90/0.38 % (3994485)Termination phase: Saturation
% 0.90/0.38 % (3994485)Time elapsed: 0.040 s
% 0.90/0.38 % (3994485)Peak memory usage: 13 MB
% 0.90/0.38 % (3994485)Instructions burned: 160 (million)
% 0.90/0.38 % (3994500)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1069201273:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.90/0.41 % (3994501)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3544452392:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.90/0.41 % (3994507)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=337873553:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.90/0.41 % (3994500)Instruction limit reached!
% 0.90/0.41 % (3994500)------------------------------
% 0.90/0.41 % (3994500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3994500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3994500)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3994500)Termination reason: Instruction limit
% 0.90/0.41 % (3994500)Termination phase: Property scanning
% 0.90/0.41 % (3994500)Time elapsed: 0.011 s
% 0.90/0.41 % (3994500)Peak memory usage: 10 MB
% 0.90/0.41 % (3994500)Instructions burned: 28 (million)
% 0.90/0.41 % (3994504)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.41 % (3994503)lrs+10_1_si=on:cs=on:random_seed=507320727:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.90/0.41 % (3994506)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1477720254:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.90/0.41 % (3994503)Instruction limit reached!
% 0.90/0.41 % (3994503)------------------------------
% 0.90/0.41 % (3994503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3994503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3994503)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3994503)Termination reason: Instruction limit
% 0.90/0.41 % (3994503)Termination phase: Preprocessing 3
% 0.90/0.41 % (3994503)Time elapsed: 0.004 s
% 0.90/0.41 % (3994503)Peak memory usage: 10 MB
% 0.90/0.41 % (3994503)Instructions burned: 10 (million)
% 0.90/0.41 % (3994504)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1836741060:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.41 % (3994507)Refutation not found, incomplete strategy
% 0.90/0.41 % (3994507)------------------------------
% 0.90/0.41 % (3994507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3994507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3994506)Refutation not found, incomplete strategy
% 0.90/0.41 % (3994506)------------------------------
% 0.90/0.41 % (3994506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3994507)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3994507)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.41 % (3994507)Time elapsed: 0.014 s
% 0.90/0.41 % (3994507)Peak memory usage: 12 MB
% 0.90/0.41 % (3994507)Instructions burned: 54 (million)
% 0.90/0.41 % (3994506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3994506)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3994506)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.41 % (3994506)Time elapsed: 0.006 s
% 0.90/0.41 % (3994506)Peak memory usage: 12 MB
% 0.90/0.41 % (3994506)Instructions burned: 13 (million)
% 0.90/0.41 % (3994507)------------------------------
% 0.90/0.41 % (3994507)------------------------------
% 0.90/0.41 % (3994506)------------------------------
% 0.90/0.41 % (3994506)------------------------------
% 0.90/0.41 % (3994504)Instruction limit reached!
% 0.90/0.41 % (3994504)------------------------------
% 0.90/0.41 % (3994504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.41 % (3994504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.41 % (3994504)CaDiCaL version: 2.1.3
% 0.90/0.41 % (3994504)Termination reason: Instruction limit
% 0.90/0.41 % (3994504)Termination phase: shuffling
% 0.90/0.41 % (3994504)Time elapsed: 0.005 s
% 0.90/0.41 % (3994504)Peak memory usage: 9 MB
% 0.90/0.41 % (3994504)Instructions burned: 3 (million)
% 0.90/0.41 % (3994510)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2306720350:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.90/0.47 % (3994513)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1199134722:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.47 % (3994510)Instruction limit reached!
% 0.90/0.47 % (3994510)------------------------------
% 0.90/0.47 % (3994510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (3994510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (3994510)CaDiCaL version: 2.1.3
% 0.90/0.47 % (3994510)Termination reason: Instruction limit
% 0.90/0.47 % (3994510)Termination phase: Saturation
% 0.90/0.47 % (3994510)Time elapsed: 0.012 s
% 0.90/0.47 % (3994510)Peak memory usage: 12 MB
% 0.90/0.47 % (3994510)Instructions burned: 26 (million)
% 0.90/0.47 % (3994515)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3857249735:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.90/0.47 % (3994501)Instruction limit reached!
% 0.90/0.47 % (3994501)------------------------------
% 0.90/0.47 % (3994501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (3994501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (3994501)CaDiCaL version: 2.1.3
% 0.90/0.47 % (3994501)Termination reason: Instruction limit
% 0.90/0.47 % (3994501)Termination phase: Saturation
% 0.90/0.47 % (3994501)Time elapsed: 0.042 s
% 0.90/0.47 % (3994501)Peak memory usage: 13 MB
% 0.90/0.47 % (3994501)Instructions burned: 87 (million)
% 0.90/0.47 % (3994513)Instruction limit reached!
% 0.90/0.47 % (3994513)------------------------------
% 0.90/0.47 % (3994513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (3994513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (3994513)CaDiCaL version: 2.1.3
% 0.90/0.47 % (3994513)Termination reason: Instruction limit
% 0.90/0.47 % (3994513)Termination phase: Property scanning
% 0.90/0.47 % (3994513)Time elapsed: 0.007 s
% 0.90/0.47 % (3994513)Peak memory usage: 10 MB
% 0.90/0.47 % (3994513)Instructions burned: 16 (million)
% 0.90/0.47 % (3994517)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1239533371:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.90/0.47 % (3994516)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2966462992:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.47 % (3994517)Instruction limit reached!
% 0.90/0.47 % (3994517)------------------------------
% 0.90/0.47 % (3994517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (3994517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (3994517)CaDiCaL version: 2.1.3
% 0.90/0.47 % (3994517)Termination reason: Instruction limit
% 0.90/0.47 % (3994517)Termination phase: Property scanning
% 0.90/0.47 % (3994517)Time elapsed: 0.001 s
% 0.90/0.47 % (3994517)Peak memory usage: 10 MB
% 0.90/0.47 % (3994517)Instructions burned: 4 (million)
% 0.90/0.47 % (3994516)Instruction limit reached!
% 0.90/0.47 % (3994516)------------------------------
% 0.90/0.47 % (3994516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (3994516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (3994516)CaDiCaL version: 2.1.3
% 0.90/0.47 % (3994516)Termination reason: Instruction limit
% 0.90/0.47 % (3994516)Termination phase: Property scanning
% 0.90/0.47 % (3994516)Time elapsed: 0.006 s
% 0.90/0.47 % (3994516)Peak memory usage: 10 MB
% 0.90/0.47 % (3994516)Instructions burned: 14 (million)
% 0.90/0.47 % (3994526)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.47 % (3994526)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.90/0.47 % (3994526)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=807754709:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.47 % (3994526)Instruction limit reached!
% 0.90/0.47 % (3994526)------------------------------
% 1.77/0.52 % (3994526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994526)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994526)Termination reason: Instruction limit
% 1.77/0.52 % (3994526)Termination phase: Property scanning
% 1.77/0.52 % (3994526)Time elapsed: 0.003 s
% 1.77/0.52 % (3994526)Peak memory usage: 9 MB
% 1.77/0.52 % (3994526)Instructions burned: 14 (million)
% 1.77/0.52 % (3994521)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3518809265:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.77/0.52 % (3994524)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=216129587:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.77/0.52 % (3994522)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2085200787:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.77/0.52 % (3994527)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.77/0.52 % (3994530)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=554344829:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.77/0.52 % (3994527)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=322875575:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.77/0.52 % (3994521)Instruction limit reached!
% 1.77/0.52 % (3994521)------------------------------
% 1.77/0.52 % (3994521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994521)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994521)Termination reason: Instruction limit
% 1.77/0.52 % (3994521)Termination phase: Property scanning
% 1.77/0.52 % (3994521)Time elapsed: 0.011 s
% 1.77/0.52 % (3994521)Peak memory usage: 10 MB
% 1.77/0.52 % (3994521)Instructions burned: 28 (million)
% 1.77/0.52 % (3994522)Instruction limit reached!
% 1.77/0.52 % (3994522)------------------------------
% 1.77/0.52 % (3994522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994522)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994522)Termination reason: Instruction limit
% 1.77/0.52 % (3994522)Termination phase: Property scanning
% 1.77/0.52 % (3994522)Time elapsed: 0.010 s
% 1.77/0.52 % (3994522)Peak memory usage: 10 MB
% 1.77/0.52 % (3994522)Instructions burned: 25 (million)
% 1.77/0.52 % (3994527)Instruction limit reached!
% 1.77/0.52 % (3994527)------------------------------
% 1.77/0.52 % (3994527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994527)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994527)Termination reason: Instruction limit
% 1.77/0.52 % (3994527)Termination phase: SInE selection
% 1.77/0.52 % (3994527)Time elapsed: 0.004 s
% 1.77/0.52 % (3994527)Peak memory usage: 10 MB
% 1.77/0.52 % (3994527)Instructions burned: 9 (million)
% 1.77/0.52 % (3994530)Instruction limit reached!
% 1.77/0.52 % (3994530)------------------------------
% 1.77/0.52 % (3994530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994530)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994530)Termination reason: Instruction limit
% 1.77/0.52 % (3994530)Termination phase: Saturation
% 1.77/0.52 % (3994530)Time elapsed: 0.007 s
% 1.77/0.52 % (3994530)Peak memory usage: 11 MB
% 1.77/0.52 % (3994530)Instructions burned: 34 (million)
% 1.77/0.52 % (3994538)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2049697028:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.77/0.52 % (3994535)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4251717041:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.77/0.52 % (3994524)Instruction limit reached!
% 1.77/0.52 % (3994524)------------------------------
% 1.77/0.52 % (3994524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994524)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994524)Termination reason: Instruction limit
% 1.77/0.52 % (3994524)Termination phase: Saturation
% 1.77/0.52 % (3994524)Time elapsed: 0.029 s
% 1.77/0.52 % (3994524)Peak memory usage: 12 MB
% 1.77/0.52 % (3994524)Instructions burned: 61 (million)
% 1.77/0.52 % (3994536)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2919840227:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.77/0.52 % (3994537)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=27874606:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.77/0.52 % (3994535)Instruction limit reached!
% 1.77/0.52 % (3994535)------------------------------
% 1.77/0.52 % (3994535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994535)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994535)Termination reason: Instruction limit
% 1.77/0.52 % (3994535)Termination phase: shuffling
% 1.77/0.52 % (3994535)Time elapsed: 0.003 s
% 1.77/0.52 % (3994535)Peak memory usage: 9 MB
% 1.77/0.52 % (3994535)Instructions burned: 8 (million)
% 1.77/0.52 % (3994536)Instruction limit reached!
% 1.77/0.52 % (3994536)------------------------------
% 1.77/0.52 % (3994536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994536)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994536)Termination reason: Instruction limit
% 1.77/0.52 % (3994536)Termination phase: Property scanning
% 1.77/0.52 % (3994536)Time elapsed: 0.009 s
% 1.77/0.52 % (3994536)Peak memory usage: 10 MB
% 1.77/0.52 % (3994536)Instructions burned: 23 (million)
% 1.77/0.52 % (3994537)Instruction limit reached!
% 1.77/0.52 % (3994537)------------------------------
% 1.77/0.52 % (3994537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994537)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994537)Termination reason: Instruction limit
% 1.77/0.52 % (3994537)Termination phase: Property scanning
% 1.77/0.52 % (3994537)Time elapsed: 0.009 s
% 1.77/0.52 % (3994537)Peak memory usage: 11 MB
% 1.77/0.52 % (3994537)Instructions burned: 21 (million)
% 1.77/0.52 % (3994541)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=472213396:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.77/0.52 % (3994544)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2031748427:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.77/0.52 % (3994546)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.77/0.52 % (3994546)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2085744653:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.77/0.52 % (3994546)Instruction limit reached!
% 1.77/0.52 % (3994546)------------------------------
% 1.77/0.52 % (3994546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994546)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994546)Termination reason: Instruction limit
% 1.77/0.52 % (3994546)Termination phase: shuffling
% 1.77/0.52 % (3994546)Time elapsed: 0.003 s
% 1.77/0.52 % (3994546)Peak memory usage: 9 MB
% 1.77/0.52 % (3994546)Instructions burned: 7 (million)
% 1.77/0.52 % (3994545)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2081908216:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.77/0.52 % (3994550)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2501144431:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.77/0.52 % (3994550)Refutation not found, incomplete strategy
% 1.77/0.52 % (3994550)------------------------------
% 1.77/0.52 % (3994550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994550)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994550)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.52 % (3994550)Time elapsed: 0.008 s
% 1.77/0.52 % (3994550)Peak memory usage: 12 MB
% 1.77/0.52 % (3994550)Instructions burned: 16 (million)
% 1.77/0.52 % (3994550)------------------------------
% 1.77/0.52 % (3994550)------------------------------
% 1.77/0.52 % (3994545)Instruction limit reached!
% 1.77/0.52 % (3994545)------------------------------
% 1.77/0.52 % (3994545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994545)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994545)Termination reason: Instruction limit
% 1.77/0.52 % (3994545)Termination phase: Saturation
% 1.77/0.52 % (3994545)Time elapsed: 0.041 s
% 1.77/0.52 % (3994545)Peak memory usage: 12 MB
% 1.77/0.52 % (3994545)Instructions burned: 43 (million)
% 1.77/0.52 % (3994553)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1488933362:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.77/0.52 % (3994541)Instruction limit reached!
% 1.77/0.52 % (3994541)------------------------------
% 1.77/0.52 % (3994541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994541)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994541)Termination reason: Instruction limit
% 1.77/0.52 % (3994541)Termination phase: Saturation
% 1.77/0.52 % (3994541)Time elapsed: 0.067 s
% 1.77/0.52 % (3994541)Peak memory usage: 13 MB
% 1.77/0.52 % (3994541)Instructions burned: 143 (million)
% 1.77/0.52 % (3994554)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.77/0.52 % (3994554)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3021810155:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.77/0.52 % (3994554)Instruction limit reached!
% 1.77/0.52 % (3994554)------------------------------
% 1.77/0.52 % (3994554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994554)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994554)Termination reason: Instruction limit
% 1.77/0.52 % (3994554)Termination phase: shuffling
% 1.77/0.52 % (3994554)Time elapsed: 0.003 s
% 1.77/0.52 % (3994554)Peak memory usage: 9 MB
% 1.77/0.52 % (3994554)Instructions burned: 6 (million)
% 1.77/0.52 % (3994556)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1976532172:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.77/0.52 % (3994553) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3994474-3994553"...
% 1.77/0.52 % (3994553)...printing done.
% 1.77/0.52 % (3994544)Instruction limit reached!
% 1.77/0.52 % (3994544)------------------------------
% 1.77/0.52 % (3994544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994544)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994544)Termination reason: Instruction limit
% 1.77/0.52 % (3994544)Termination phase: Saturation
% 1.77/0.52 % (3994544)Time elapsed: 0.088 s
% 1.77/0.52 % (3994544)Peak memory usage: 12 MB
% 1.77/0.52 % (3994544)Instructions burned: 194 (million)
% 1.77/0.52 % (3994553)Refutation found. Thanks to Tanya!
% 1.77/0.52 % SZS status Theorem for theBenchmark
% 1.77/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.52 % (3994553)------------------------------
% 1.77/0.52 % (3994553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.52 % (3994553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.52 % (3994553)CaDiCaL version: 2.1.3
% 1.77/0.52 % (3994553)Termination reason: Refutation
% 1.77/0.52 % (3994553)Time elapsed: 0.023 s
% 1.77/0.52 % (3994553)Peak memory usage: 13 MB
% 1.77/0.52 % (3994553)Instructions burned: 48 (million)
% 1.77/0.52 % (3994474)Success in time 0.293 s
% 1.77/0.52 % Vampire exiting
%------------------------------------------------------------------------------