%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:28:09 AM UTC 2026
% Result : Theorem 6.94s 1.97s
% Output : Refutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 21 unt; 0 typ; 3 def)
% Number of atoms : 106 ( 48 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 98 ( 38 ~; 30 |; 21 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 85 ( 85 usr; 34 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 47 !; 3 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
u: $tType ).
tff(type_def_6,type,
d: $tType ).
tff(type_def_7,type,
du: $tType ).
tff(type_def_8,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_11,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_12,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_13,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: $tType ).
tff(type_def_14,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).
tff(type_def_15,type,
mono_2Etyop_2Enum_2Enum: $tType ).
tff(func_def_0,type,
tyop_2Efcp_2Ecart: ( d * d ) > d ).
tff(func_def_1,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_2,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_3,type,
tyop_2Enum_2Enum: d ).
tff(func_def_4,type,
s: ( d * u ) > du ).
tff(func_def_5,type,
app_2E2: ( du * du ) > u ).
tff(func_def_6,type,
combin_i_2E0: u ).
tff(func_def_7,type,
combin_k_2E0: u ).
tff(func_def_8,type,
combin_s_2E0: u ).
tff(func_def_9,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_10,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_11,type,
c_2Earithmetic_2E_2B_2E0: u ).
tff(func_def_12,type,
c_2Earithmetic_2E_2B_2E2: ( du * du ) > u ).
tff(func_def_13,type,
c_2Earithmetic_2E_2D_2E0: u ).
tff(func_def_14,type,
c_2Earithmetic_2E_2D_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_16,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_17,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
tff(func_def_18,type,
c_2Earithmetic_2E_3C_3D_2E2: ( du * du ) > u ).
tff(func_def_19,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_20,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_21,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_22,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_23,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_24,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_25,type,
c_2Ebool_2ECOND_2E0: u ).
tff(func_def_26,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff(func_def_27,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_28,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_29,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_30,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_31,type,
c_2Ewords_2En2w_2E0: u ).
tff(func_def_32,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(func_def_33,type,
c_2Ewords_2Eword__2comp_2E0: u ).
tff(func_def_34,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(func_def_35,type,
c_2Ewords_2Eword__add_2E0: u ).
tff(func_def_36,type,
c_2Ewords_2Eword__add_2E2: ( du * du ) > u ).
tff(func_def_37,type,
c_2Ewords_2Eword__sub_2E0: u ).
tff(func_def_38,type,
c_2Ewords_2Eword__sub_2E2: ( du * du ) > u ).
tff(func_def_39,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_40,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_41,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_43,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_44,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_45,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
tff(func_def_46,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_47,type,
mono_2Ec_2Earithmetic_2E_2B_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_48,type,
mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_49,type,
mono_2Ec_2Earithmetic_2E_2D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_50,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(func_def_51,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_52,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_54,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_55,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_56,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_57,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_58,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_59,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_60,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_61,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_62,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_63,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_64,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_65,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_66,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_67,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_68,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 > u ).
tff(func_def_69,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > u ).
tff(func_def_70,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(func_def_71,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_72,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_73,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_74,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_75,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_76,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 ).
tff(func_def_77,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
tff(func_def_78,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
tff(func_def_79,type,
sK0: ( d * d * u * u ) > u ).
tff(func_def_80,type,
sK1: ( d * u ) > u ).
tff(func_def_81,type,
sK2: ( d * u ) > u ).
tff(func_def_82,type,
sK3: d ).
tff(func_def_83,type,
sK4: mono_2Etyop_2Enum_2Enum ).
tff(func_def_84,type,
sK5: mono_2Etyop_2Enum_2Enum ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(f34,axiom,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).
tff(f36,axiom,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).
tff(f61,axiom,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
<=> p(X0) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X0) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
<=> ~ p(X0) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f65,axiom,
! [X0: d] :
( ! [X1: u,X2: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) = s(X0,X1) )
& ! [X3: u,X4: u] : ( s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X0,X3),s(X0,X4))) = s(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
tff(f66,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/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
tff(f67,axiom,
! [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_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_2E2(X2,X3))))))) )
& ! [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_2E2(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_2E2(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_2E2(X5,X4))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(f68,conjecture,
! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(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_2E2(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/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
tff(f69,negated_conjecture,
~ ! [X0: d,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(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_2E2(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)],[f68]) ).
tff(f81,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_2E2(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)))))) )
& p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X2,X1)) ),
inference(ennf_transformation,[],[f69]) ).
tff(f110,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) ) ),
inference(nnf_transformation,[],[f61]) ).
tff(f111,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X0) )
& ( p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) )
& ( ( X0 = mono_2Ec_2Ebool_2EF_2E0 )
| p(X0) )
& ( ~ p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 != X0 ) ) ),
inference(flattening,[],[f110]) ).
tff(f116,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_2E2(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)))))) )
& p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK5,sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f81]) ).
tff(f161,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_2D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X0),X1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f165,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X0),X1) ),
inference(cnf_transformation,[],[f36]) ).
tff(f219,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) ),
inference(cnf_transformation,[],[f111]) ).
tff(f239,plain,
! [X2: u,X0: d,X1: u] : ( s(X0,X1) = s(X0,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X0,X1),s(X0,X2))) ),
inference(cnf_transformation,[],[f65]) ).
tff(f240,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,[],[f66]) ).
tff(f241,plain,
! [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_2E2(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_2E2(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_2E2(X5,X4))))))))) ),
inference(cnf_transformation,[],[f67]) ).
tff(f243,plain,
p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(sK5,sK4)),
inference(cnf_transformation,[],[f116]) ).
tff(f244,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_2E2(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,[],[f116]) ).
tff(f246,plain,
! [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_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,X5),X4))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,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_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,X5),X4))))))))) ),
inference(definition_unfolding,[],[f241,f165,f161,f161]) ).
tff(f247,plain,
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)))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK4),sK5))))),
inference(definition_unfolding,[],[f244,f161]) ).
tff(f248,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4)),
inference(definition_unfolding,[],[f243,f165]) ).
tff(f317,definition,
( spl28_1
<=> ( 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)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK4),sK5))))) ) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
tff(f319,plain,
( ( 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)))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,sK3),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK4),sK5))))) )
| spl28_1 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f320,plain,
~ spl28_1,
inference(avatar_split_clause,[],[f247,f317]) ).
tff(f342,definition,
( spl28_2
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4)) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
tff(f344,plain,
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4))
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f342]) ).
tff(f345,plain,
spl28_2,
inference(avatar_split_clause,[],[f248,f342]) ).
tff(f366,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4) )
| ~ spl28_2 ),
inference(resolution,[],[f344,f219]) ).
tff(f401,definition,
( spl28_3
<=> ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4) ) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
tff(f403,plain,
( ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Earithmetic_2E_3C_3D_2E0,sK5),sK4) )
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f404,plain,
( spl28_3
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f366,f342,f401]) ).
tff(f406,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(sK4)))),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(sK5)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,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_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK5),sK4))))))))) )
| ~ spl28_3 ),
inference(superposition,[],[f246,f403]) ).
tff(f407,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(sK4)))),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(sK5)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,sK4),sK5))))) )
| ~ spl28_3 ),
inference(forward_demodulation,[],[f406,f239]) ).
tff(f408,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_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum(mono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29(mono_2Ec_2Earithmetic_2E_2D_2E0,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)))))) )
| ~ spl28_3 ),
inference(forward_demodulation,[],[f407,f240]) ).
tff(f409,plain,
( $false
| spl28_1
| ~ spl28_3 ),
inference(backward_subsumption_resolution,[],[f319,f408]) ).
tff(f410,plain,
( spl28_1
| ~ spl28_3 ),
inference(avatar_contradiction_clause,[],[f409]) ).
cnf(s1,plain,
~ spl28_1,
inference(sat_conversion,[],[f320]) ).
cnf(s2,plain,
spl28_2,
inference(sat_conversion,[],[f345]) ).
cnf(s3,plain,
( ~ spl28_2
| spl28_3 ),
inference(sat_conversion,[],[f404]) ).
cnf(s4,plain,
( spl28_1
| ~ spl28_3 ),
inference(sat_conversion,[],[f410]) ).
cnf(s5,plain,
spl28_3,
inference(rat,[],[s3,s2]) ).
cnf(s6,plain,
spl28_1,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6]) ).
tff(f411,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 12:05:15 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/1.97 % (3435717)Detected formulas, will run a generic FOF schedule.
% 6.94/1.97 % (3435727)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2470482704:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.94/1.97 % (3435724)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=22621494:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.94/1.97 % (3435725)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3021345250:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.94/1.97 % (3435722)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=635889749:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.94/1.97 % (3435723)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3476097316:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.94/1.97 % (3435726)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2700872779:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.94/1.97 % (3435728)dis-21_1_sil=8000:lcm=predicate:random_seed=1963040975:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.94/1.97 % (3435727)Instruction limit reached!
% 6.94/1.97 % (3435727)------------------------------
% 6.94/1.97 % (3435727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435727)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435727)Termination reason: Instruction limit
% 6.94/1.97 % (3435727)Termination phase: Saturation
% 6.94/1.97 % (3435727)Time elapsed: 0.047 s
% 6.94/1.97 % (3435727)Peak memory usage: 90 MB
% 6.94/1.97 % (3435727)Instructions burned: 142 (million)
% 6.94/1.97 % (3435726)Refutation not found, incomplete strategy
% 6.94/1.97 % (3435726)------------------------------
% 6.94/1.97 % (3435726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435726)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435726)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.97 % (3435726)Time elapsed: 0.002 s
% 6.94/1.97 % (3435726)Peak memory usage: 87 MB
% 6.94/1.97 % (3435726)Instructions burned: 1 (million)
% 6.94/1.97 % (3435725)Refutation not found, incomplete strategy
% 6.94/1.97 % (3435725)------------------------------
% 6.94/1.97 % (3435725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435725)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435725)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.97 % (3435725)Time elapsed: 0.002 s
% 6.94/1.97 % (3435725)Peak memory usage: 88 MB
% 6.94/1.97 % (3435725)Instructions burned: 2 (million)
% 6.94/1.97 % (3435728)Instruction limit reached!
% 6.94/1.97 % (3435728)------------------------------
% 6.94/1.97 % (3435728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435728)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435728)Termination reason: Instruction limit
% 6.94/1.97 % (3435728)Termination phase: Saturation
% 6.94/1.97 % (3435728)Time elapsed: 0.079 s
% 6.94/1.97 % (3435728)Peak memory usage: 89 MB
% 6.94/1.97 % (3435728)Instructions burned: 129 (million)
% 6.94/1.97 % (3435736)lrs+10_1_sil=8000:sp=occurrence:random_seed=3418598080:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.94/1.97 % (3435736)Instruction limit reached!
% 6.94/1.97 % (3435736)------------------------------
% 6.94/1.97 % (3435736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435736)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435736)Termination reason: Instruction limit
% 6.94/1.97 % (3435736)Termination phase: Saturation
% 6.94/1.97 % (3435736)Time elapsed: 0.068 s
% 6.94/1.97 % (3435736)Peak memory usage: 89 MB
% 6.94/1.97 % (3435736)Instructions burned: 289 (million)
% 6.94/1.97 % (3435725)------------------------------
% 6.94/1.97 % (3435725)------------------------------
% 6.94/1.97 % (3435726)------------------------------
% 6.94/1.97 % (3435726)------------------------------
% 6.94/1.97 % (3435737)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2545228569:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.94/1.97 % (3435737)Refutation not found, incomplete strategy
% 6.94/1.97 % (3435737)------------------------------
% 6.94/1.97 % (3435737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435737)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435737)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.97 % (3435737)Time elapsed: 0.005 s
% 6.94/1.97 % (3435737)Peak memory usage: 89 MB
% 6.94/1.97 % (3435737)Instructions burned: 7 (million)
% 6.94/1.97 % (3435739)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2430481080:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.94/1.97 % (3435739)Instruction limit reached!
% 6.94/1.97 % (3435739)------------------------------
% 6.94/1.97 % (3435739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435739)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435739)Termination reason: Instruction limit
% 6.94/1.97 % (3435739)Termination phase: Saturation
% 6.94/1.97 % (3435739)Time elapsed: 0.101 s
% 6.94/1.97 % (3435739)Peak memory usage: 90 MB
% 6.94/1.97 % (3435739)Instructions burned: 327 (million)
% 6.94/1.97 % (3435741)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2558132247:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.94/1.97 % (3435742)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2336733400:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.94/1.97 % (3435742)Refutation not found, incomplete strategy
% 6.94/1.97 % (3435742)------------------------------
% 6.94/1.97 % (3435742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435742)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435742)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.97 % (3435742)Time elapsed: 0.006 s
% 6.94/1.97 % (3435742)Peak memory usage: 88 MB
% 6.94/1.97 % (3435742)Instructions burned: 9 (million)
% 6.94/1.97 % (3435737)------------------------------
% 6.94/1.97 % (3435737)------------------------------
% 6.94/1.97 % (3435744)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3545675866:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.94/1.97 % (3435741)Instruction limit reached!
% 6.94/1.97 % (3435741)------------------------------
% 6.94/1.97 % (3435741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435741)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435741)Termination reason: Instruction limit
% 6.94/1.97 % (3435741)Termination phase: Saturation
% 6.94/1.97 % (3435741)Time elapsed: 0.131 s
% 6.94/1.97 % (3435741)Peak memory usage: 90 MB
% 6.94/1.97 % (3435741)Instructions burned: 250 (million)
% 6.94/1.97 % (3435724)First to succeed.
% 6.94/1.97 % (3435724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3435717"
% 6.94/1.97 % (3435723)Also succeeded, but the first one will report.
% 6.94/1.97 % (3435722)Also succeeded, but the first one will report.
% 6.94/1.97 % (3435742)------------------------------
% 6.94/1.97 % (3435742)------------------------------
% 6.94/1.97 % (3435747)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1114574387:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.94/1.97 % (3435749)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3684228731:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.94/1.97 % (3435747)Instruction limit reached!
% 6.94/1.97 % (3435747)------------------------------
% 6.94/1.97 % (3435747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435747)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435747)Termination reason: Instruction limit
% 6.94/1.97 % (3435747)Termination phase: Saturation
% 6.94/1.97 % (3435747)Time elapsed: 0.058 s
% 6.94/1.97 % (3435747)Peak memory usage: 88 MB
% 6.94/1.97 % (3435747)Instructions burned: 115 (million)
% 6.94/1.97 % (3435749)Instruction limit reached!
% 6.94/1.97 % (3435749)------------------------------
% 6.94/1.97 % (3435749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/1.97 % (3435749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.97 % (3435749)CaDiCaL version: 2.1.3
% 6.94/1.97 % (3435749)Termination reason: Instruction limit
% 6.94/1.97 % (3435749)Termination phase: Saturation
% 6.94/1.97 % (3435749)Time elapsed: 0.067 s
% 6.94/1.97 % (3435749)Peak memory usage: 89 MB
% 6.94/1.97 % (3435749)Instructions burned: 129 (million)
% 6.94/1.97 % (3435751)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1351321206:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.94/1.97 % (3435753)lrs+10_1_sil=8000:sp=occurrence:random_seed=858772646:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.94/1.97 % (3435724)Refutation found. Thanks to Tanya!
% 6.94/1.97 % SZS status Theorem for theBenchmark
% 6.94/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.28/2.16 % (3435724)------------------------------
% 8.28/2.16 % (3435724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/2.16 % (3435724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/2.16 % (3435724)CaDiCaL version: 2.1.3
% 8.28/2.16 % (3435724)Termination reason: Refutation
% 8.28/2.16 % (3435724)Time elapsed: 0.641 s
% 8.28/2.16 % (3435724)Peak memory usage: 129 MB
% 8.28/2.16 % (3435724)Instructions burned: 959 (million)
% 8.28/2.16 % (3435724)------------------------------
% 8.28/2.16 % (3435724)------------------------------
% 8.28/2.16 % (3435717)Success in time 1.089 s
% 8.28/2.16 % Vampire exiting
%------------------------------------------------------------------------------