%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n006.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 08:10:19 AM UTC 2026
% Result : Theorem 1.56s 0.47s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 838 ( 6 ~; 0 |; 6 &; 822 @)
% ( 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 : 83 ( 80 usr; 29 con; 0-4 aty)
% Number of variables : 57 ( 0 ^; 54 !; 3 ?; 57 :)
% 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: u > u > d > d > u ).
thf(func_def_77,type,
sK1: u > d > u ).
thf(func_def_78,type,
sK2: u > d > u ).
thf(func_def_79,type,
sK3: d ).
thf(func_def_80,type,
sK4: mono_2Etyop_2Enum_2Enum ).
thf(func_def_81,type,
sK5: mono_2Etyop_2Enum_2Enum ).
thf(f52,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f60,axiom,
! [X0: d] :
( ! [X3: u,X4: 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 ) )
& ! [X1: u,X2: 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 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
thf(f61,axiom,
! [X0: d,X1: u,X2: u] :
( ( 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,
! [X0: d,X1: 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 ) ) ) ) ) ) ) ) ) )
& ! [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_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,
! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( 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,
~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( 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(f81,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f52]) ).
thf(f82,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[],[f81]) ).
thf(f95,plain,
~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( 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(rectify,[],[f64]) ).
thf(f96,plain,
~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X1 )
= $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 @ 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(fool_elimination,[],[f95]) ).
thf(f97,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 @ X3 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) ) ) ),
inference(rectify,[],[f60]) ).
thf(f98,plain,
! [X0: d,X1: d] :
( ! [X2: mono_2Etyop_2Enum_2Enum,X3: 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 @ X2 ) ) ) ) @ ( 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 @ X3 ) ) ) ) ) ) ) )
= ( 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 @ X3 @ X2 ) ) ) @ ( 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 @ X2 @ X3 ) ) ) ) ) @ ( 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 @ X3 @ X2 ) ) ) ) ) ) ) ) ) )
& ! [X4: mono_2Etyop_2Enum_2Enum,X5: 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 @ X4 ) ) ) ) ) ) @ ( 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 @ X5 ) ) ) ) ) ) ) )
= ( 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 @ X4 @ X5 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f62]) ).
thf(f108,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 @ 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 ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f96]) ).
thf(f134,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK4 @ sK5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK4 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f108]) ).
thf(f196,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[],[f82]) ).
thf(f242,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X3 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) ) ),
inference(cnf_transformation,[],[f97]) ).
thf(f244,plain,
! [X2: u,X0: d,X1: u] :
( ( 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 ) ) ) ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f246,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X1: d] :
( ( 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 @ X2 ) ) ) ) @ ( 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 @ X3 ) ) ) ) ) ) ) )
= ( 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 @ X3 @ X2 ) ) ) @ ( 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 @ X2 @ X3 ) ) ) ) ) @ ( 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 @ X3 @ X2 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f98]) ).
thf(f247,plain,
( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK4 ) ),
inference(cnf_transformation,[],[f134]) ).
thf(f248,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK4 @ sK5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK3 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f134]) ).
thf(f268,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X3 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X0 @ X3 ) @ ( s @ X0 @ X4 ) ) ) ),
inference(definition_unfolding,[],[f242,f196]) ).
thf(f1627,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X1: d] :
( ( 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 @ X3 @ X2 ) ) ) @ ( 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 @ X2 @ X3 ) ) ) ) ) @ ( 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 @ X3 @ X2 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f246,f244]) ).
thf(f1629,plain,
! [X0: d] :
( ( 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 @ sK4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) )
= ( 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 @ sK4 @ sK5 ) ) ) ) ) @ ( 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 @ sK5 @ sK4 ) ) ) ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f1627,f247]) ).
thf(f1665,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 @ sK4 @ sK5 ) ) ) ) )
= ( 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 @ sK4 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f1629,f268]) ).
thf(f1965,plain,
$false,
inference(backward_subsumption_resolution,[],[f248,f1665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:26:24 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 1.56/0.47 % (1190787)Will run a generic schedule for satisfiability detection.
% 1.56/0.47 % (1190812)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1045537334:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.56/0.47 % (1190807)% WARNING: option uhcvi not known.
% 1.56/0.47 % (1190808)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3587038771:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.56/0.47 % (1190806)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2961602993_2999 on theBenchmark for (2999ds/0Mi)
% 1.56/0.47 % (1190807)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=507172888:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.56/0.47 % (1190809)dis+10_1_sil=32000:sp=arity:random_seed=3058836598:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.56/0.47 % (1190810)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2723188454:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.56/0.47 % (1190811)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=842755562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.56/0.47 % (1190807)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.56/0.47 % (1190810)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.56/0.47 % Exception at run slice level
% 1.56/0.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.56/0.47 % (1190807)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.56/0.47 % (1190836)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3738194195:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.56/0.47 % (1190812)Instruction limit reached!
% 1.56/0.47 % (1190812)------------------------------
% 1.56/0.47 % (1190812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190812)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190812)Termination reason: Instruction limit
% 1.56/0.47 % (1190812)Termination phase: Saturation
% 1.56/0.47 % (1190812)Time elapsed: 0.042 s
% 1.56/0.47 % (1190812)Peak memory usage: 13 MB
% 1.56/0.47 % (1190812)Instructions burned: 159 (million)
% 1.56/0.47 % Exception at run slice level
% 1.56/0.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.56/0.47 % (1190853)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1701389970:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.56/0.47 % (1190809)Instruction limit reached!
% 1.56/0.47 % (1190809)------------------------------
% 1.56/0.47 % (1190809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190809)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190809)Termination reason: Instruction limit
% 1.56/0.47 % (1190809)Termination phase: Saturation
% 1.56/0.47 % (1190809)Time elapsed: 0.053 s
% 1.56/0.47 % (1190809)Peak memory usage: 13 MB
% 1.56/0.47 % (1190809)Instructions burned: 111 (million)
% 1.56/0.47 % (1190810)Instruction limit reached!
% 1.56/0.47 % (1190810)------------------------------
% 1.56/0.47 % (1190810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190810)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190810)Termination reason: Instruction limit
% 1.56/0.47 % (1190810)Termination phase: Saturation
% 1.56/0.47 % (1190810)Time elapsed: 0.056 s
% 1.56/0.47 % (1190810)Peak memory usage: 13 MB
% 1.56/0.47 % (1190810)Instructions burned: 117 (million)
% 1.56/0.47 % (1190855)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=1682393638:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.56/0.47 % (1190855)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.56/0.47 % (1190811)Instruction limit reached!
% 1.56/0.47 % (1190811)------------------------------
% 1.56/0.47 % (1190811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190811)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190811)Termination reason: Instruction limit
% 1.56/0.47 % (1190811)Termination phase: Saturation
% 1.56/0.47 % (1190811)Time elapsed: 0.065 s
% 1.56/0.47 % (1190811)Peak memory usage: 13 MB
% 1.56/0.47 % (1190811)Instructions burned: 132 (million)
% 1.56/0.47 % (1190855)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.56/0.47 % (1190866)ott-21_1_sil=16000:fs=off:random_seed=3140411777:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.56/0.47 % (1190870)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1674954594:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.56/0.47 % (1190853)Instruction limit reached!
% 1.56/0.47 % (1190853)------------------------------
% 1.56/0.47 % (1190853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190853)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190853)Termination reason: Instruction limit
% 1.56/0.47 % (1190853)Termination phase: Saturation
% 1.56/0.47 % (1190853)Time elapsed: 0.036 s
% 1.56/0.47 % (1190853)Peak memory usage: 13 MB
% 1.56/0.47 % (1190853)Instructions burned: 133 (million)
% 1.56/0.47 % (1190876)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=544040582:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.56/0.47 % (1190888)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2458383547:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.56/0.47 % Exception at run slice level
% 1.56/0.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.56/0.47 % (1190897)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3514008725:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.56/0.47 % Exception at run slice level
% 1.56/0.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.56/0.47 % (1190915)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=1264510771: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)
% 1.56/0.47 % (1190915)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.56/0.47 % (1190866)Instruction limit reached!
% 1.56/0.47 % (1190866)------------------------------
% 1.56/0.47 % (1190866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190866)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190866)Termination reason: Instruction limit
% 1.56/0.47 % (1190866)Termination phase: Saturation
% 1.56/0.47 % (1190866)Time elapsed: 0.082 s
% 1.56/0.47 % (1190866)Peak memory usage: 13 MB
% 1.56/0.47 % (1190866)Instructions burned: 181 (million)
% 1.56/0.47 % (1190936)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3204841307:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.56/0.47 % (1190936)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.56/0.47 % (1190807) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1190787-1190807"...
% 1.56/0.47 % (1190807)...printing done.
% 1.56/0.47 % (1190807)Refutation found. Thanks to Tanya!
% 1.56/0.47 % SZS status Theorem for theBenchmark
% 1.56/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.47 % (1190807)------------------------------
% 1.56/0.47 % (1190807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.47 % (1190807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.47 % (1190807)CaDiCaL version: 2.1.3
% 1.56/0.47 % (1190807)Termination reason: Refutation
% 1.56/0.47 % (1190807)Time elapsed: 0.188 s
% 1.56/0.47 % (1190807)Peak memory usage: 14 MB
% 1.56/0.47 % (1190807)Instructions burned: 406 (million)
% 1.56/0.47 % (1190787)Success in time 0.234 s
% 1.56/0.47 % Vampire exiting
%------------------------------------------------------------------------------