%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP012_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 : 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 : Tue Sep 29 11:34:57 AM UTC 2026
% Result : Theorem 34.39s 5.39s
% Output : Refutation 34.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 5 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 83 ( 83 usr; 31 con; 0-4 aty)
% Number of variables : 54 ( 51 !; 3 ?; 54 :)
% 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_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_12,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_13,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: $tType ).
tff(type_def_14,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: $tType ).
tff(type_def_15,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
tff(func_def_0,type,
tyop_2Einteger_2Eint: 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,
s: ( d * u ) > du ).
tff(func_def_4,type,
app_2E2: ( du * du ) > u ).
tff(func_def_5,type,
combin_i_2E0: u ).
tff(func_def_6,type,
combin_k_2E0: u ).
tff(func_def_7,type,
combin_s_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_9,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_11,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_13,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_15,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_17,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_18,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_19,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_20,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_21,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_22,type,
c_2Einteger_2Eint__add_2E0: u ).
tff(func_def_23,type,
c_2Einteger_2Eint__add_2E2: ( du * du ) > u ).
tff(func_def_24,type,
c_2Einteger_2Eint__divides_2E0: u ).
tff(func_def_25,type,
c_2Einteger_2Eint__divides_2E2: ( du * du ) > u ).
tff(func_def_26,type,
c_2Einteger_2Eint__neg_2E0: u ).
tff(func_def_27,type,
c_2Einteger_2Eint__neg_2E1: du > u ).
tff(func_def_28,type,
c_2Einteger_2Eint__sub_2E0: u ).
tff(func_def_29,type,
c_2Einteger_2Eint__sub_2E2: ( du * du ) > u ).
tff(func_def_30,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_31,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_32,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_33,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_34,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_35,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_36,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).
tff(func_def_37,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(func_def_38,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_39,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_40,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_41,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_43,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_44,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_45,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_46,type,
mono_2Ec_2Einteger_2Eint__add_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).
tff(func_def_47,type,
mono_2Ec_2Einteger_2Eint__add_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(func_def_48,type,
mono_2Ec_2Einteger_2Eint__divides_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_49,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_50,type,
mono_2Ec_2Einteger_2Eint__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).
tff(func_def_51,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(func_def_52,type,
mono_2Ec_2Einteger_2Eint__sub_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).
tff(func_def_53,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(func_def_54,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_55,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_56,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_57,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_58,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_59,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_60,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_61,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 > u ).
tff(func_def_62,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 > u ).
tff(func_def_63,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
tff(func_def_64,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_65,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_66,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_67,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_68,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_69,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 ).
tff(func_def_70,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 ).
tff(func_def_71,type,
j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).
tff(func_def_72,type,
sK28: ( d * d * u * u ) > u ).
tff(func_def_73,type,
sK29: ( d * u ) > u ).
tff(func_def_74,type,
sK30: ( d * u ) > u ).
tff(func_def_75,type,
sK31: ( d * u ) > u ).
tff(func_def_76,type,
sK32: ( d * u ) > u ).
tff(func_def_77,type,
sK33: ( d * u ) > u ).
tff(func_def_78,type,
sK34: ( d * u ) > u ).
tff(func_def_79,type,
sK35: ( d * u * u ) > u ).
tff(func_def_80,type,
sK36: mono_2Etyop_2Einteger_2Eint ).
tff(func_def_81,type,
sK37: mono_2Etyop_2Einteger_2Eint ).
tff(func_def_82,type,
sK38: mono_2Etyop_2Einteger_2Eint ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_6,type,
sP4: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_7,type,
sP5: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_8,type,
sP6: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_9,type,
sP7: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_10,type,
sP8: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_11,type,
sP9: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_12,type,
sP10: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_13,type,
sP11: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_14,type,
sP12: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_15,type,
sP13: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_16,type,
sP14: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_17,type,
sP15: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_18,type,
sP16: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_19,type,
sP17: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_20,type,
sP18: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_21,type,
sP19: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_22,type,
sP20: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_23,type,
sP21: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_24,type,
sP22: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_25,type,
sP23: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_26,type,
sP24: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_27,type,
sP25: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_28,type,
sP26: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_29,type,
sP27: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(f38,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__add_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__add_2E2) ).
tff(f39,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__divides_2E2) ).
tff(f40,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger_2Eint__neg_2E1) ).
tff(f41,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__sub_2E2) ).
tff(f61,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X0,X1) = mono_2Ec_2Einteger_2Eint__add_2E2(X0,mono_2Ec_2Einteger_2Eint__neg_2E1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
tff(f62,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__add_2E2(X2,X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(f63,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__neg_2E1(X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X0),X1) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(f74,conjecture,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__sub_2E2(X2,X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(f75,negated_conjecture,
~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__sub_2E2(X2,X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f74]) ).
tff(f88,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__add_2E2(X2,X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(ennf_transformation,[],[f62]) ).
tff(f98,plain,
? [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) != mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__sub_2E2(X2,X1)) )
& p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(ennf_transformation,[],[f75]) ).
tff(f254,plain,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,sK38) != mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,mono_2Ec_2Einteger_2Eint__sub_2E2(sK38,sK37)) )
& p(mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,sK37)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X2,sK38)],[f98]) ).
tff(f310,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__add_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X0),X1) ),
inference(cnf_transformation,[],[f38]) ).
tff(f311,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1) ),
inference(cnf_transformation,[],[f39]) ).
tff(f312,plain,
! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X0) ),
inference(cnf_transformation,[],[f40]) ).
tff(f313,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X0,X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X0),X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f383,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X0,X1) = mono_2Ec_2Einteger_2Eint__add_2E2(X0,mono_2Ec_2Einteger_2Eint__neg_2E1(X1)) ),
inference(cnf_transformation,[],[f61]) ).
tff(f384,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__add_2E2(X2,X1)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X2) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
tff(f386,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__divides_2E2(X0,X1) = mono_2Ec_2Einteger_2Eint__divides_2E2(X0,mono_2Ec_2Einteger_2Eint__neg_2E1(X1)) ),
inference(cnf_transformation,[],[f63]) ).
tff(f514,plain,
p(mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,sK37)),
inference(cnf_transformation,[],[f254]) ).
tff(f515,plain,
mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,sK38) != mono_2Ec_2Einteger_2Eint__divides_2E2(sK36,mono_2Ec_2Einteger_2Eint__sub_2E2(sK38,sK37)),
inference(cnf_transformation,[],[f254]) ).
tff(f516,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X0),X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X0),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X1)) ),
inference(definition_unfolding,[],[f383,f313,f310,f312]) ).
tff(f517,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1))
| ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X2),X1)) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X2) ) ),
inference(definition_unfolding,[],[f384,f311,f310,f311,f311]) ).
tff(f518,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X1)) ),
inference(definition_unfolding,[],[f386,f311,f311,f312]) ).
tff(f520,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),sK38) != mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,sK38),sK37)),
inference(definition_unfolding,[],[f515,f311,f311,f313]) ).
tff(f521,plain,
p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),sK37)),
inference(definition_unfolding,[],[f514,f311]) ).
tff(f966,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1))
| ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X2) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__add_2E0,X2),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__neg_2E0,X1))) ) ),
inference(superposition,[],[f517,f518]) ).
tff(f979,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X1))
| ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),X2) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,X0),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X2),X1)) ) ),
inference(forward_demodulation,[],[f966,f516]) ).
tff(f1226,plain,
! [X0: mono_2Etyop_2Einteger_2Eint] : ( mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29(mono_2Ec_2Einteger_2Eint__sub_2E0,X0),sK37)) ),
inference(resolution,[],[f979,f521]) ).
tff(f1908,plain,
mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),sK38) != mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Einteger_2Eint__divides_2E0,sK36),sK38),
inference(superposition,[],[f520,f1226]) ).
tff(f1911,plain,
$false,
inference(trivial_inequality_removal,[],[f1908]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP012_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n015.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 12:01:45 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.44 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
% 4.88/1.17 % (1541020)Will run a generic schedule for satisfiability detection.
% 4.88/1.17 % (1541032)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=646946144:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.88/1.17 % (1541027)% WARNING: option uhcvi not known.
% 4.88/1.17 % (1541027)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2906544570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.88/1.17 % (1541030)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1178517668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.88/1.17 % (1541026)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2189568289_2999 on theBenchmark for (2999ds/0Mi)
% 4.88/1.17 % (1541028)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3990147750:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.88/1.17 % (1541031)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2054957873:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.88/1.17 % (1541029)dis+10_1_sil=32000:sp=arity:random_seed=1813797221:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.88/1.17 % (1541032)Instruction limit reached!
% 4.88/1.17 % (1541032)------------------------------
% 4.88/1.17 % (1541032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.17 % (1541032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.17 % (1541032)CaDiCaL version: 2.1.3
% 4.88/1.17 % (1541032)Termination reason: Instruction limit
% 4.88/1.17 % (1541032)Termination phase: Saturation
% 4.88/1.17 % (1541032)Time elapsed: 0.050 s
% 4.88/1.17 % (1541032)Peak memory usage: 13 MB
% 4.88/1.17 % (1541032)Instructions burned: 161 (million)
% 4.88/1.17 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 4.88/1.17 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 4.88/1.17 % TRYING [1,1,1,1,1,1,1,1,1,1]
% 4.88/1.17 % (1541029)Instruction limit reached!
% 4.88/1.17 % (1541029)------------------------------
% 4.88/1.17 % (1541029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.17 % (1541029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.17 % (1541029)CaDiCaL version: 2.1.3
% 4.88/1.17 % (1541029)Termination reason: Instruction limit
% 4.88/1.17 % (1541029)Termination phase: Saturation
% 4.88/1.17 % (1541029)Time elapsed: 0.058 s
% 4.88/1.17 % (1541029)Peak memory usage: 12 MB
% 4.88/1.17 % (1541029)Instructions burned: 104 (million)
% 4.88/1.17 % TRYING [1,1,2,1,1,1,1,1,1,1]
% 4.88/1.17 % TRYING [1,1,2,2,1,1,1,1,1,1]
% 4.88/1.17 % (1541041)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1461211120:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.88/1.17 % TRYING [1,1,2,2,1,1,2,1,1,1]
% 4.88/1.17 % (1541030)Instruction limit reached!
% 4.88/1.17 % (1541030)------------------------------
% 4.88/1.17 % (1541030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.17 % (1541030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.17 % (1541030)CaDiCaL version: 2.1.3
% 4.88/1.17 % (1541030)Termination reason: Instruction limit
% 4.88/1.17 % (1541030)Termination phase: Saturation
% 4.88/1.17 % (1541030)Time elapsed: 0.066 s
% 4.88/1.17 % (1541030)Peak memory usage: 13 MB
% 4.88/1.17 % (1541030)Instructions burned: 116 (million)
% 4.88/1.17 % TRYING [1,1,2,3,1,1,2,1,1,1]
% 4.88/1.17 % TRYING [1,1,2,2,2,1,2,1,1,1]
% 4.88/1.17 % TRYING [1,1,2,3,2,1,2,1,1,1]
% 4.88/1.17 % (1541031)Instruction limit reached!
% 4.88/1.17 % (1541031)------------------------------
% 4.88/1.17 % (1541031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.88/1.17 % (1541031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.88/1.17 % (1541031)CaDiCaL version: 2.1.3
% 4.88/1.17 % (1541031)Termination reason: Instruction limit
% 4.88/1.17 % (1541031)Termination phase: Saturation
% 4.88/1.17 % (1541031)Time elapsed: 0.075 s
% 4.88/1.17 % (1541031)Peak memory usage: 13 MB
% 4.88/1.17 % (1541031)Instructions burned: 132 (million)
% 4.88/1.17 % TRYING [1,1,2,4,2,1,2,1,1,1]
% 4.88/1.17 % (1541042)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=982610196:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.88/1.17 % TRYING [1,1,2,3,3,1,2,1,1,1]
% 4.88/1.17 % TRYING [1,1,2,4,3,1,2,1,1,1]
% 4.88/1.17 % TRYING [1]
% 4.88/1.17 % TRYING [2]
% 4.88/1.17 % TRYING [2,1,2,4,3,1,2,1,1,1]
% 4.88/1.17 % (1541044)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=3270732451:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 11.28/2.08 % TRYING [3]
% 11.28/2.08 % TRYING [1,2,2,4,3,1,2,1,1,1]
% 11.28/2.08 % (1541045)ott-21_1_sil=16000:fs=off:random_seed=3090748834:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 11.28/2.08 % TRYING [2,2,2,4,3,1,2,1,1,1]
% 11.28/2.08 % TRYING [1,3,2,4,3,1,2,1,1,1]
% 11.28/2.08 % TRYING [2,3,2,4,3,1,2,1,1,1]
% 11.28/2.08 % (1541042)Instruction limit reached!
% 11.28/2.08 % (1541042)------------------------------
% 11.28/2.08 % (1541042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.28/2.08 % (1541042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.08 % (1541042)CaDiCaL version: 2.1.3
% 11.28/2.08 % (1541042)Termination reason: Instruction limit
% 11.28/2.08 % (1541042)Termination phase: Saturation
% 11.28/2.08 % (1541042)Time elapsed: 0.074 s
% 11.28/2.08 % (1541042)Peak memory usage: 12 MB
% 11.28/2.08 % (1541042)Instructions burned: 132 (million)
% 11.28/2.08 % TRYING [3,1,2,4,3,1,2,1,1,1]
% 11.28/2.08 % (1541049)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2636689509:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.28/2.08 % (1541045)Instruction limit reached!
% 11.28/2.08 % (1541045)------------------------------
% 11.28/2.08 % (1541045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.28/2.08 % (1541045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.08 % (1541045)CaDiCaL version: 2.1.3
% 11.28/2.08 % (1541045)Termination reason: Instruction limit
% 11.28/2.08 % (1541045)Termination phase: Saturation
% 11.28/2.08 % (1541045)Time elapsed: 0.093 s
% 11.28/2.08 % (1541045)Peak memory usage: 14 MB
% 11.28/2.08 % (1541045)Instructions burned: 181 (million)
% 11.28/2.08 % TRYING [3,2,2,4,3,1,2,1,1,1]
% 11.28/2.08 % (1541051)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2601705006:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.28/2.08 % TRYING [4,1,2,4,3,1,2,1,1,1]
% 11.28/2.08 % (1541041)Instruction limit reached!
% 11.28/2.08 % (1541041)------------------------------
% 11.28/2.08 % (1541041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.28/2.08 % (1541041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.08 % (1541041)CaDiCaL version: 2.1.3
% 11.28/2.08 % (1541041)Termination reason: Instruction limit
% 11.28/2.08 % (1541041)Termination phase: Finite model building SAT solving
% 11.28/2.08 % (1541041)Time elapsed: 0.200 s
% 11.28/2.08 % (1541041)Peak memory usage: 35 MB
% 11.28/2.08 % (1541041)Instructions burned: 716 (million)
% 11.28/2.08 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 11.28/2.08 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 11.28/2.08 % TRYING [1,1,1,1,1,1,1,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,1,1,1,1,1,1,1]
% 11.28/2.08 % (1541053)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=700208675:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.28/2.08 % TRYING [1,1,2,1,1,1,2,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,1,1,2,2,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,1,1,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,2,1,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,2,2,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,3,2,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,3,3,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,1,2,4,3,1,3,1,1,1]
% 11.28/2.08 % TRYING [3,3,2,4,3,1,2,1,1,1]
% 11.28/2.08 % TRYING [2,1,2,4,3,1,3,1,1,1]
% 11.28/2.08 % TRYING [1,2,2,4,3,1,3,1,1,1]
% 11.28/2.08 % TRYING [2,2,2,4,3,1,3,1,1,1]
% 11.28/2.08 % (1541044)Instruction limit reached!
% 11.28/2.08 % (1541044)------------------------------
% 11.28/2.08 % (1541044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.28/2.08 % (1541044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.08 % (1541044)CaDiCaL version: 2.1.3
% 11.28/2.08 % (1541044)Termination reason: Instruction limit
% 11.28/2.08 % (1541044)Termination phase: Saturation
% 11.28/2.08 % (1541044)Time elapsed: 0.340 s
% 11.28/2.08 % (1541044)Peak memory usage: 15 MB
% 11.28/2.08 % (1541044)Instructions burned: 684 (million)
% 11.28/2.08 % TRYING [3,1,2,4,3,1,3,1,1,1]
% 11.28/2.08 % (1541055)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4177052163:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.28/2.08 % (1541049)Instruction limit reached!
% 11.28/2.08 % (1541049)------------------------------
% 11.28/2.08 % (1541049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.28/2.08 % (1541049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.08 % (1541049)CaDiCaL version: 2.1.3
% 11.28/2.08 % (1541049)Termination reason: Instruction limit
% 11.28/2.08 % (1541049)Termination phase: Saturation
% 11.28/2.08 % (1541049)Time elapsed: 0.286 s
% 27.39/4.36 % (1541049)Peak memory usage: 13 MB
% 27.39/4.36 % (1541049)Instructions burned: 478 (million)
% 27.39/4.36 % (1541057)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=2495399820:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 27.39/4.36 % TRYING [3,2,2,4,3,1,3,1,1,1]
% 27.39/4.36 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 27.39/4.36 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 27.39/4.36 % fmb_start_size (= 14) larger than a detected sort maximum size!
% 27.39/4.36 % (1541055)Refutation not found, incomplete strategy
% 27.39/4.36 % (1541055)------------------------------
% 27.39/4.36 % (1541055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.36 % (1541055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.36 % (1541055)CaDiCaL version: 2.1.3
% 27.39/4.36 % (1541055)Termination reason: Refutation not found, incomplete strategy
% 27.39/4.36 % (1541055)Time elapsed: 0.056 s
% 27.39/4.36 % (1541055)Peak memory usage: 12 MB
% 27.39/4.36 % (1541055)Instructions burned: 122 (million)
% 27.39/4.36 % (1541055)------------------------------
% 27.39/4.36 % (1541055)------------------------------
% 27.39/4.36 % (1541059)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3926813812:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 27.39/4.36 % (1541051)Instruction limit reached!
% 27.39/4.36 % (1541051)------------------------------
% 27.39/4.36 % (1541051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.36 % (1541051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.36 % (1541051)CaDiCaL version: 2.1.3
% 27.39/4.36 % (1541051)Termination reason: Instruction limit
% 27.39/4.36 % (1541051)Termination phase: Finite model building SAT solving
% 27.39/4.36 % (1541051)Time elapsed: 0.373 s
% 27.39/4.36 % (1541051)Peak memory usage: 20 MB
% 27.39/4.36 % (1541051)Instructions burned: 865 (million)
% 27.39/4.36 % (1541061)fmb+10_1_sil=64000:random_seed=4271005710:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 27.39/4.36 % (1541053)Instruction limit reached!
% 27.39/4.36 % (1541053)------------------------------
% 27.39/4.36 % (1541053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.36 % (1541053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.36 % (1541053)CaDiCaL version: 2.1.3
% 27.39/4.36 % (1541053)Termination reason: Instruction limit
% 27.39/4.36 % (1541053)Termination phase: Saturation
% 27.39/4.36 % (1541053)Time elapsed: 0.347 s
% 27.39/4.36 % (1541053)Peak memory usage: 22 MB
% 27.39/4.36 % (1541053)Instructions burned: 1180 (million)
% 27.39/4.36 % (1541066)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=439740125:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 27.39/4.36 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 27.39/4.36 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 27.39/4.36 % TRYING [1,1,1,1,1,1,1,1,1,1]
% 27.39/4.36 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 27.39/4.36 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 27.39/4.36 % fmb_start_size (= 20) larger than a detected sort maximum size!
% 27.39/4.36 % (1541066)Refutation not found, incomplete strategy
% 27.39/4.36 % (1541066)------------------------------
% 27.39/4.36 % (1541066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.36 % (1541066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.36 % (1541066)CaDiCaL version: 2.1.3
% 27.39/4.36 % (1541066)Termination reason: Refutation not found, incomplete strategy
% 27.39/4.36 % (1541066)Time elapsed: 0.030 s
% 27.39/4.36 % (1541066)Peak memory usage: 12 MB
% 27.39/4.36 % (1541066)Instructions burned: 122 (million)
% 27.39/4.36 % TRYING [1,1,2,1,1,1,1,1,1,1]
% 27.39/4.36 % (1541066)------------------------------
% 27.39/4.36 % (1541066)------------------------------
% 27.39/4.36 % TRYING [1,1,2,1,1,1,2,1,1,1]
% 27.39/4.36 % TRYING [2,4,2,4,3,1,2,1,1,1]
% 27.39/4.36 % (1541077)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=38465522:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 27.39/4.36 % TRYING [1,1,2,1,1,2,2,1,1,1]
% 27.39/4.36 % TRYING [1,1,2,1,1,1,3,1,1,1]
% 27.39/4.36 % TRYING [1,1,2,2,1,1,3,1,1,1]
% 27.39/4.36 % TRYING [1,1,2,2,2,1,3,1,1,1]
% 27.39/4.36 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 27.39/4.36 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 27.39/4.36 % fmb_start_size (= 8) larger than a detected sort maximum size!
% 34.39/5.39 % (1541077)Refutation not found, incomplete strategy
% 34.39/5.39 % (1541077)------------------------------
% 34.39/5.39 % (1541077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541077)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541077)Termination reason: Refutation not found, incomplete strategy
% 34.39/5.39 % (1541077)Time elapsed: 0.030 s
% 34.39/5.39 % (1541077)Peak memory usage: 12 MB
% 34.39/5.39 % (1541077)Instructions burned: 121 (million)
% 34.39/5.39 % (1541077)------------------------------
% 34.39/5.39 % (1541077)------------------------------
% 34.39/5.39 % TRYING [1,1,2,3,2,1,3,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,3,3,1,3,1,1,1]
% 34.39/5.39 % (1541085)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2189580664:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 34.39/5.39 % TRYING [1,1,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,1,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,1,1,1]
% 34.39/5.39 % TRYING [1,2,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,2,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,1,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,1,1]
% 34.39/5.39 % TRYING [3,1,2,4,3,1,3,1,1,1]
% 34.39/5.39 % (1541057)Instruction limit reached!
% 34.39/5.39 % (1541057)------------------------------
% 34.39/5.39 % (1541057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541057)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541057)Termination reason: Instruction limit
% 34.39/5.39 % (1541057)Termination phase: Saturation
% 34.39/5.39 % (1541057)Time elapsed: 0.387 s
% 34.39/5.39 % (1541057)Peak memory usage: 18 MB
% 34.39/5.39 % (1541057)Instructions burned: 693 (million)
% 34.39/5.39 % (1541101)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=860923546:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 34.39/5.39 % TRYING [3,2,2,4,3,1,3,1,1,1]
% 34.39/5.39 % (1541059)Instruction limit reached!
% 34.39/5.39 % (1541059)------------------------------
% 34.39/5.39 % (1541059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541059)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541059)Termination reason: Instruction limit
% 34.39/5.39 % (1541059)Termination phase: Saturation
% 34.39/5.39 % (1541059)Time elapsed: 0.490 s
% 34.39/5.39 % (1541059)Peak memory usage: 20 MB
% 34.39/5.39 % (1541059)Instructions burned: 879 (million)
% 34.39/5.39 % (1541103)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3067009251:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 34.39/5.39 % TRYING [2,3,2,4,3,1,3,1,1,1]
% 34.39/5.39 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 34.39/5.39 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 34.39/5.39 % fmb_start_size (= 77) larger than a detected sort maximum size!
% 34.39/5.39 % (1541103)Refutation not found, incomplete strategy
% 34.39/5.39 % (1541103)------------------------------
% 34.39/5.39 % (1541103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541103)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541103)Termination reason: Refutation not found, incomplete strategy
% 34.39/5.39 % (1541103)Time elapsed: 0.057 s
% 34.39/5.39 % (1541103)Peak memory usage: 12 MB
% 34.39/5.39 % (1541103)Instructions burned: 123 (million)
% 34.39/5.39 % (1541103)------------------------------
% 34.39/5.39 % (1541103)------------------------------
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,1,1]
% 34.39/5.39 % (1541113)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2826470146:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 34.39/5.39 % TRYING [4,1,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,1,1]
% 34.39/5.39 % TRYING [16]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,1,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,1,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,1,2]
% 34.39/5.39 % (1541101)Instruction limit reached!
% 34.39/5.39 % (1541101)------------------------------
% 34.39/5.39 % (1541101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541101)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541101)Termination reason: Instruction limit
% 34.39/5.39 % (1541101)Termination phase: Saturation
% 34.39/5.39 % (1541101)Time elapsed: 0.728 s
% 34.39/5.39 % (1541101)Peak memory usage: 18 MB
% 34.39/5.39 % (1541101)Instructions burned: 1474 (million)
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,1,2]
% 34.39/5.39 % (1541154)ott-2_1_sil=16000:newcnf=on:random_seed=3026289471:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2983 on theBenchmark for (2983ds/869Mi)
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,2,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [4,2,2,4,3,1,3,1,1,1]
% 34.39/5.39 % (1541113)Instruction limit reached!
% 34.39/5.39 % (1541113)------------------------------
% 34.39/5.39 % (1541113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541113)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541113)Termination reason: Instruction limit
% 34.39/5.39 % (1541113)Termination phase: Finite model building constraint generation
% 34.39/5.39 % (1541113)Time elapsed: 0.757 s
% 34.39/5.39 % (1541113)Peak memory usage: 136 MB
% 34.39/5.39 % (1541113)Instructions burned: 2176 (million)
% 34.39/5.39 % (1541156)ott+10_1_sil=32000:tgt=ground:random_seed=2477394491:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,2,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,2,2,1,1,1]
% 34.39/5.39 % (1541085)Instruction limit reached!
% 34.39/5.39 % (1541085)------------------------------
% 34.39/5.39 % (1541085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541085)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541085)Termination reason: Instruction limit
% 34.39/5.39 % (1541085)Termination phase: Saturation
% 34.39/5.39 % (1541085)Time elapsed: 1.351 s
% 34.39/5.39 % (1541085)Peak memory usage: 31 MB
% 34.39/5.39 % (1541085)Instructions burned: 5131 (million)
% 34.39/5.39 % (1541158)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2150550463:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 34.39/5.39 % (1541154)Instruction limit reached!
% 34.39/5.39 % (1541154)------------------------------
% 34.39/5.39 % (1541154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541154)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541154)Termination reason: Instruction limit
% 34.39/5.39 % (1541154)Termination phase: Saturation
% 34.39/5.39 % (1541154)Time elapsed: 0.447 s
% 34.39/5.39 % (1541154)Peak memory usage: 15 MB
% 34.39/5.39 % (1541154)Instructions burned: 869 (million)
% 34.39/5.39 % (1541160)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4236197173:i=3512:aac=none_2978 on theBenchmark for (2978ds/3512Mi)
% 34.39/5.39 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1]
% 34.39/5.39 % Detected maximum model sizes of [max,max,2,max,max,max,max,max,max,max]
% 34.39/5.39 % TRYING [1,1,1,1,1,1,1,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,1,1,1,1,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,2,1,1,1,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,2,1,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,3,1,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,2,2,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,3,2,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,4,2,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,3,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,1,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [2,1,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,2,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [2,2,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [1,3,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [3,1,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [3,2,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [4,1,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [3,4,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,1,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,1,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,1,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,1,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,1,2]
% 34.39/5.39 % TRYING [2,5,2,4,3,1,3,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,1,2]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,1,2]
% 34.39/5.39 % TRYING [2,3,2,4,3,1,2,2,2,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,2,2]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,2,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,2,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,2,2,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,2,3,1,1,1]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,2,2]
% 34.39/5.39 % TRYING [2,4,2,4,3,1,3,1,2,1]
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,2,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,2,2,2,2,1]
% 34.39/5.39 % TRYING [3,4,2,4,3,1,3,1,2,1]
% 34.39/5.39 % TRYING [3,3,2,4,3,1,2,2,2,2]
% 34.39/5.39 % (1541160)Instruction limit reached!
% 34.39/5.39 % (1541160)------------------------------
% 34.39/5.39 % (1541160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541160)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541160)Termination reason: Instruction limit
% 34.39/5.39 % (1541160)Termination phase: Saturation
% 34.39/5.39 % (1541160)Time elapsed: 1.792 s
% 34.39/5.39 % (1541160)Peak memory usage: 28 MB
% 34.39/5.39 % (1541160)Instructions burned: 3514 (million)
% 34.39/5.39 % TRYING [2,4,2,4,3,1,2,2,2,2]
% 34.39/5.39 % (1541162)dis+21_1_sil=32000:sas=cadical:random_seed=1686185638:i=3773:amm=off_2960 on theBenchmark for (2960ds/3773Mi)
% 34.39/5.39 % TRYING [2,3,2,4,3,2,2,2,2,2]
% 34.39/5.39 % TRYING [3,3,2,4,3,2,2,2,2,1]
% 34.39/5.39 % TRYING [2,5,2,4,3,1,3,1,2,1]
% 34.39/5.39 % TRYING [2,5,2,4,3,2,3,1,1,1]
% 34.39/5.39 % (1541156)Instruction limit reached!
% 34.39/5.39 % (1541156)------------------------------
% 34.39/5.39 % (1541156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541156)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541156)Termination reason: Instruction limit
% 34.39/5.39 % (1541156)Termination phase: Saturation
% 34.39/5.39 % (1541156)Time elapsed: 2.820 s
% 34.39/5.39 % (1541156)Peak memory usage: 43 MB
% 34.39/5.39 % (1541156)Instructions burned: 5116 (million)
% 34.39/5.39 % (1541164)ott+11_1_sil=16000:gs=on:random_seed=888425048:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2952 on theBenchmark for (2952ds/2251Mi)
% 34.39/5.39 % (1541164) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1541020-1541164"...
% 34.39/5.39 % (1541164)...printing done.
% 34.39/5.39 % (1541164)Refutation found. Thanks to Tanya!
% 34.39/5.39 % SZS status Theorem for theBenchmark
% 34.39/5.39 % SZS output start Proof for theBenchmark
% See solution above
% 34.39/5.39 % (1541164)------------------------------
% 34.39/5.39 % (1541164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.39/5.39 % (1541164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/5.39 % (1541164)CaDiCaL version: 2.1.3
% 34.39/5.39 % (1541164)Termination reason: Refutation
% 34.39/5.39 % (1541164)Time elapsed: 0.146 s
% 34.39/5.39 % (1541164)Peak memory usage: 13 MB
% 34.39/5.39 % (1541164)Instructions burned: 284 (million)
% 34.39/5.39 % (1541020)Success in time 4.95 s
% 34.39/5.39 % Vampire exiting
%------------------------------------------------------------------------------