%------------------------------------------------------------------------------
% 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:18 AM UTC 2026
% Result : Theorem 20.77s 3.30s
% Output : Refutation 20.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 323 ( 84 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 406 ( 63 ~; 75 |; 3 &; 254 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 117 ( 114 usr; 29 con; 0-4 aty)
% Number of variables : 64 ( 0 sgn 61 !; 3 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
u: $tType ).
thf(type_def_6,type,
d: $tType ).
thf(type_def_7,type,
du: $tType ).
thf(type_def_8,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
tyop_2Einteger_2Eint: d ).
thf(func_def_1,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_2,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_3,type,
s: d > u > du ).
thf(func_def_4,type,
app_2E2: du > du > u ).
thf(func_def_5,type,
combin_i_2E0: u ).
thf(func_def_6,type,
combin_k_2E0: u ).
thf(func_def_7,type,
combin_s_2E0: u ).
thf(func_def_8,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_9,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_10,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_11,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_12,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_13,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_15,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_16,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_17,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_18,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_20,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_21,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_22,type,
c_2Einteger_2Eint__add_2E0: u ).
thf(func_def_23,type,
c_2Einteger_2Eint__add_2E2: du > du > u ).
thf(func_def_24,type,
c_2Einteger_2Eint__divides_2E0: u ).
thf(func_def_25,type,
c_2Einteger_2Eint__divides_2E2: du > du > u ).
thf(func_def_26,type,
c_2Einteger_2Eint__neg_2E0: u ).
thf(func_def_27,type,
c_2Einteger_2Eint__neg_2E1: du > u ).
thf(func_def_28,type,
c_2Einteger_2Eint__sub_2E0: u ).
thf(func_def_29,type,
c_2Einteger_2Eint__sub_2E2: du > du > u ).
thf(func_def_30,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_31,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_32,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_33,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_34,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_35,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_36,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_37,type,
mono_2Eapp_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_38,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_39,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_40,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(func_def_41,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(func_def_42,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_43,type,
mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_44,type,
mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_45,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_46,type,
mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_47,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_48,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_49,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_50,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_51,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(func_def_52,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ) > u ).
thf(func_def_53,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(func_def_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ( mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ) > u ).
thf(func_def_55,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
thf(func_def_56,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_57,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_58,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_59,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_60,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(func_def_61,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_62,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: du > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_63,type,
j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).
thf(func_def_65,type,
vNOT: $o > $o ).
thf(func_def_68,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_71,type,
vAND: $o > $o > $o ).
thf(func_def_72,type,
vOR: $o > $o > $o ).
thf(func_def_73,type,
sP0: $o > $o > $o ).
thf(func_def_74,type,
sP1: $o > $o > $o ).
thf(func_def_75,type,
sP2: $o > $o > $o ).
thf(func_def_76,type,
sP3: $o > $o ).
thf(func_def_77,type,
sP4: $o > $o > $o > $o ).
thf(func_def_78,type,
sP5: $o > $o > $o > $o ).
thf(func_def_79,type,
sP6: $o > $o > $o > $o ).
thf(func_def_80,type,
sP7: $o > $o > $o > $o ).
thf(func_def_81,type,
sP8: $o > $o > $o > $o ).
thf(func_def_82,type,
sP9: $o > $o > $o > $o ).
thf(func_def_83,type,
sP10: $o > $o > $o ).
thf(func_def_84,type,
sP11: $o > $o > $o > $o ).
thf(func_def_85,type,
sP12: $o > $o > $o ).
thf(func_def_86,type,
sP13: $o > $o > $o > $o ).
thf(func_def_87,type,
sP14: $o > $o > $o > $o ).
thf(func_def_88,type,
sP15: $o > $o > $o ).
thf(func_def_89,type,
sP16: $o > $o > $o > $o ).
thf(func_def_90,type,
sP17: $o > $o > $o ).
thf(func_def_91,type,
sP18: $o > $o > $o > $o ).
thf(func_def_92,type,
sP19: $o > $o > $o > $o ).
thf(func_def_93,type,
sP20: $o > $o > $o ).
thf(func_def_94,type,
sP21: $o > $o > $o > $o ).
thf(func_def_95,type,
sP22: $o > $o > $o ).
thf(func_def_96,type,
sP23: $o > $o > $o > $o ).
thf(func_def_97,type,
sP24: $o > $o > $o > $o ).
thf(func_def_98,type,
sP25: $o > $o > $o ).
thf(func_def_99,type,
sP26: $o > $o > $o ).
thf(func_def_100,type,
sK27: u > u > d > d > u ).
thf(func_def_101,type,
sK28: u > d > u ).
thf(func_def_102,type,
sK29: u > d > u ).
thf(func_def_103,type,
sK30: u > d > u ).
thf(func_def_104,type,
sK31: u > d > u ).
thf(func_def_105,type,
sK32: u > d > u ).
thf(func_def_106,type,
sK33: u > u > d > u ).
thf(func_def_107,type,
sK34: mono_2Etyop_2Einteger_2Eint ).
thf(func_def_108,type,
sK35: mono_2Etyop_2Einteger_2Eint ).
thf(func_def_109,type,
sK36: mono_2Etyop_2Einteger_2Eint ).
thf(func_def_110,type,
sK37: u > d > u ).
thf(func_def_112,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f55,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__add @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
thf(f56,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(f57,axiom,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X0 ) @ X1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(f68,conjecture,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(f69,negated_conjecture,
~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
thf(f110,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(rectify,[],[f56]) ).
thf(f111,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $true )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(fool_elimination,[],[f110]) ).
thf(f132,plain,
~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) ) ),
inference(rectify,[],[f69]) ).
thf(f133,plain,
~ ! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $true )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) ) ) ),
inference(fool_elimination,[],[f132]) ).
thf(f143,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f111]) ).
thf(f153,plain,
? [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint,X2: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
!= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f133]) ).
thf(f292,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
!= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) ) )
& ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36)],[f153]) ).
thf(f401,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__add @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f402,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f143]) ).
thf(f403,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f525,plain,
( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 ) ),
inference(cnf_transformation,[],[f292]) ).
thf(f526,plain,
( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
!= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) ) ),
inference(cnf_transformation,[],[f292]) ).
thf(f618,plain,
( ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 ) )
| ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) ) ) ),
inference(xor_proxy_clausification,[],[f526]) ).
thf(f619,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) )
= $false ) ),
inference(xor_proxy_clausification,[],[f526]) ).
thf(f697,plain,
! [X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(iff_proxy_clausification,[],[f403]) ).
thf(f700,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f402]) ).
thf(f701,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
!= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ X1 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f402]) ).
thf(f783,definition,
( spl38_1
<=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
thf(f785,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) )
= $false )
| ~ spl38_1 ),
inference(avatar_component_clause,[],[f783]) ).
thf(f787,definition,
( spl38_2
<=> ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
thf(f789,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
= $false )
| ~ spl38_2 ),
inference(avatar_component_clause,[],[f787]) ).
thf(f790,plain,
( spl38_1
| spl38_2 ),
inference(avatar_split_clause,[],[f619,f787,f783]) ).
thf(f792,definition,
( spl38_3
<=> ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl38_3])],[avatar_definition]) ).
thf(f794,plain,
( ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ ( mono_2Ec_2Einteger_2Eint__sub @ sK36 @ sK35 ) ) )
| ~ spl38_3 ),
inference(avatar_component_clause,[],[f792]) ).
thf(f796,definition,
( spl38_4
<=> ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 ) ) ),
introduced(definition,[new_symbols(definition,[spl38_4])],[avatar_definition]) ).
thf(f798,plain,
( ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 ) )
| ~ spl38_4 ),
inference(avatar_component_clause,[],[f796]) ).
thf(f799,plain,
( spl38_3
| spl38_4 ),
inference(avatar_split_clause,[],[f618,f796,f792]) ).
thf(f3524,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(constrained_superposition,[],[f700,f697]) ).
thf(f3529,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f3524]) ).
thf(f3539,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(forward_demodulation,[],[f3529,f401]) ).
thf(f3550,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( $true != $true )
| ( $false
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(constrained_superposition,[],[f701,f697]) ).
thf(f3555,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( $false
= ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__add @ X2 @ ( mono_2Ec_2Einteger_2Eint__neg @ X1 ) ) ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f3550]) ).
thf(f3566,plain,
! [X2: mono_2Etyop_2Einteger_2Eint,X0: mono_2Etyop_2Einteger_2Eint,X1: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ ( mono_2Ec_2Einteger_2Eint__sub @ X2 @ X1 ) )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ X0 @ X1 )
= $false ) ),
inference(forward_demodulation,[],[f3555,f401]) ).
thf(f4012,plain,
( ( $true = $false )
| ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_3 ),
inference(constrained_superposition,[],[f794,f3566]) ).
thf(f4022,plain,
( ( $true
= ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 ) )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_3 ),
inference(trivial_inequality_removal,[],[f4012]) ).
thf(f4041,plain,
( ( $true = $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_2
| ~ spl38_3 ),
inference(forward_demodulation,[],[f4022,f789]) ).
thf(f4042,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_2
| ~ spl38_3 ),
inference(trivial_inequality_removal,[],[f4041]) ).
thf(f4051,plain,
( ( $true = $false )
| ~ spl38_2
| ~ spl38_3 ),
inference(constrained_superposition,[],[f4042,f525]) ).
thf(f4059,plain,
( $false
| ~ spl38_2
| ~ spl38_3 ),
inference(trivial_inequality_removal,[],[f4051]) ).
thf(f4060,plain,
( ~ spl38_2
| ~ spl38_3 ),
inference(avatar_contradiction_clause,[],[f4059]) ).
thf(f4107,plain,
( ( $true = $false )
| ~ spl38_1
| ~ spl38_3 ),
inference(constrained_superposition,[],[f785,f794]) ).
thf(f4112,plain,
( ( $true = $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_1 ),
inference(constrained_superposition,[],[f3539,f785]) ).
thf(f4115,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK36 )
= $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_1 ),
inference(trivial_inequality_removal,[],[f4112]) ).
thf(f4121,plain,
( $false
| ~ spl38_1
| ~ spl38_3 ),
inference(trivial_inequality_removal,[],[f4107]) ).
thf(f4122,plain,
( ~ spl38_1
| ~ spl38_3 ),
inference(avatar_contradiction_clause,[],[f4121]) ).
thf(f4134,plain,
( ( $true = $false )
| ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_1
| ~ spl38_4 ),
inference(forward_demodulation,[],[f4115,f798]) ).
thf(f4144,plain,
( ( $true = $false )
| ~ spl38_2
| ~ spl38_4 ),
inference(constrained_superposition,[],[f789,f798]) ).
thf(f4152,plain,
( $false
| ~ spl38_2
| ~ spl38_4 ),
inference(trivial_inequality_removal,[],[f4144]) ).
thf(f4153,plain,
( ~ spl38_2
| ~ spl38_4 ),
inference(avatar_contradiction_clause,[],[f4152]) ).
thf(f4164,plain,
( ( ( mono_2Ec_2Einteger_2Eint__divides @ sK34 @ sK35 )
= $false )
| ~ spl38_1
| ~ spl38_4 ),
inference(trivial_inequality_removal,[],[f4134]) ).
thf(f4201,plain,
( ( $true = $false )
| ~ spl38_1
| ~ spl38_4 ),
inference(constrained_superposition,[],[f4164,f525]) ).
thf(f4209,plain,
( $false
| ~ spl38_1
| ~ spl38_4 ),
inference(trivial_inequality_removal,[],[f4201]) ).
thf(f4210,plain,
( ~ spl38_1
| ~ spl38_4 ),
inference(avatar_contradiction_clause,[],[f4209]) ).
cnf(s3,plain,
( spl38_1
| spl38_2 ),
inference(sat_conversion,[],[f790]) ).
cnf(s5,plain,
( spl38_3
| spl38_4 ),
inference(sat_conversion,[],[f799]) ).
cnf(s935,plain,
( ~ spl38_2
| ~ spl38_3 ),
inference(sat_conversion,[],[f4060]) ).
cnf(s951,plain,
( ~ spl38_1
| ~ spl38_3 ),
inference(sat_conversion,[],[f4122]) ).
cnf(s962,plain,
( ~ spl38_2
| ~ spl38_4 ),
inference(sat_conversion,[],[f4153]) ).
cnf(s975,plain,
( ~ spl38_1
| ~ spl38_4 ),
inference(sat_conversion,[],[f4210]) ).
cnf(s994,plain,
~ spl38_2,
inference(rat,[],[s5,s935,s962]) ).
cnf(s995,plain,
spl38_1,
inference(rat,[],[s3,s994]) ).
cnf(s996,plain,
~ spl38_4,
inference(rat,[],[s975,s995]) ).
cnf(s997,plain,
~ spl38_3,
inference(rat,[],[s951,s995]) ).
cnf(s998,plain,
$false,
inference(rat,[],[s5,s996,s997]) ).
thf(f4221,plain,
$false,
inference(avatar_sat_refutation,[],[s998]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n006.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 19:26:39 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27 Running first-order model finding
% 0.08/0.27 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
% 8.14/1.50 % (1191631)Will run a generic schedule for satisfiability detection.
% 8.14/1.50 % (1191640)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=443885625:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.14/1.50 % (1191640)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.14/1.50 % (1191637)% WARNING: option uhcvi not known.
% 8.14/1.50 % (1191636)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=476359825_2999 on theBenchmark for (2999ds/0Mi)
% 8.14/1.50 % (1191637)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=747888885:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.14/1.50 % (1191638)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3964465936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.14/1.50 % (1191639)dis+10_1_sil=32000:sp=arity:random_seed=1977371025:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.14/1.50 % (1191641)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=830219662:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.14/1.50 % (1191642)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3301734100:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.14/1.50 % (1191637)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.14/1.50 % (1191637)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.14/1.50 % Exception at run slice level
% 8.14/1.50 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.14/1.50 % (1191640)Instruction limit reached!
% 8.14/1.50 % (1191640)------------------------------
% 8.14/1.50 % (1191640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.50 % (1191640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.50 % (1191640)CaDiCaL version: 2.1.3
% 8.14/1.50 % (1191640)Termination reason: Instruction limit
% 8.14/1.50 % (1191640)Termination phase: Saturation
% 8.14/1.50 % (1191640)Time elapsed: 0.054 s
% 8.14/1.50 % (1191640)Peak memory usage: 12 MB
% 8.14/1.50 % (1191640)Instructions burned: 116 (million)
% 8.14/1.51 % (1191650)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1898451054:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.14/1.51 % (1191651)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=971151447:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.14/1.51 % Exception at run slice level
% 8.14/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.14/1.51 % (1191639)Instruction limit reached!
% 8.14/1.51 % (1191639)------------------------------
% 8.14/1.51 % (1191639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.51 % (1191639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.51 % (1191639)CaDiCaL version: 2.1.3
% 8.14/1.51 % (1191639)Termination reason: Instruction limit
% 8.14/1.51 % (1191639)Termination phase: Saturation
% 8.14/1.51 % (1191639)Time elapsed: 0.092 s
% 8.14/1.51 % (1191639)Peak memory usage: 12 MB
% 8.14/1.51 % (1191639)Instructions burned: 103 (million)
% 8.14/1.51 % (1191654)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=1683557267:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.14/1.51 % (1191655)ott-21_1_sil=16000:fs=off:random_seed=3228330261:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.14/1.51 % (1191641)Instruction limit reached!
% 8.14/1.51 % (1191641)------------------------------
% 8.14/1.51 % (1191641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.51 % (1191641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.51 % (1191641)CaDiCaL version: 2.1.3
% 8.14/1.51 % (1191641)Termination reason: Instruction limit
% 8.14/1.51 % (1191641)Termination phase: Saturation
% 8.14/1.51 % (1191641)Time elapsed: 0.115 s
% 8.14/1.51 % (1191641)Peak memory usage: 13 MB
% 8.14/1.51 % (1191641)Instructions burned: 132 (million)
% 8.14/1.51 % (1191654)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.14/1.51 % (1191651)Instruction limit reached!
% 8.14/1.51 % (1191651)------------------------------
% 8.14/1.51 % (1191651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191651)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191651)Termination reason: Instruction limit
% 20.77/3.30 % (1191651)Termination phase: Saturation
% 20.77/3.30 % (1191651)Time elapsed: 0.060 s
% 20.77/3.30 % (1191651)Peak memory usage: 13 MB
% 20.77/3.30 % (1191651)Instructions burned: 132 (million)
% 20.77/3.30 % (1191654)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.77/3.30 % (1191659)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1743202119:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 20.77/3.30 % (1191642)Instruction limit reached!
% 20.77/3.30 % (1191642)------------------------------
% 20.77/3.30 % (1191642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191642)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191642)Termination reason: Instruction limit
% 20.77/3.30 % (1191642)Termination phase: Saturation
% 20.77/3.30 % (1191642)Time elapsed: 0.137 s
% 20.77/3.30 % (1191642)Peak memory usage: 13 MB
% 20.77/3.30 % (1191642)Instructions burned: 160 (million)
% 20.77/3.30 % (1191658)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2549012036:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191663)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4029614423:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 20.77/3.30 % (1191661)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4059550568:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191666)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=1324373913:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 20.77/3.30 % (1191666)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.77/3.30 % (1191655)Instruction limit reached!
% 20.77/3.30 % (1191655)------------------------------
% 20.77/3.30 % (1191655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191655)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191655)Termination reason: Instruction limit
% 20.77/3.30 % (1191655)Termination phase: Saturation
% 20.77/3.30 % (1191655)Time elapsed: 0.156 s
% 20.77/3.30 % (1191655)Peak memory usage: 13 MB
% 20.77/3.30 % (1191655)Instructions burned: 180 (million)
% 20.77/3.30 % (1191668)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1058570766:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 20.77/3.30 % (1191668)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.77/3.30 % (1191666)Instruction limit reached!
% 20.77/3.30 % (1191666)------------------------------
% 20.77/3.30 % (1191666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191666)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191666)Termination reason: Instruction limit
% 20.77/3.30 % (1191666)Termination phase: Saturation
% 20.77/3.30 % (1191666)Time elapsed: 0.319 s
% 20.77/3.30 % (1191666)Peak memory usage: 16 MB
% 20.77/3.30 % (1191666)Instructions burned: 693 (million)
% 20.77/3.30 % (1191670)fmb+10_1_sil=64000:random_seed=3238921381:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 20.77/3.30 % (1191670)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191672)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1769410349:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 20.77/3.30 % (1191658)Instruction limit reached!
% 20.77/3.30 % (1191658)------------------------------
% 20.77/3.30 % (1191658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191658)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191658)Termination reason: Instruction limit
% 20.77/3.30 % (1191658)Termination phase: Saturation
% 20.77/3.30 % (1191658)Time elapsed: 0.454 s
% 20.77/3.30 % (1191658)Peak memory usage: 13 MB
% 20.77/3.30 % (1191658)Instructions burned: 477 (million)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191675)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1588729264:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 20.77/3.30 % (1191675)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.77/3.30 % (1191674)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2031415098:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191654)Instruction limit reached!
% 20.77/3.30 % (1191654)------------------------------
% 20.77/3.30 % (1191654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191654)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191654)Termination reason: Instruction limit
% 20.77/3.30 % (1191654)Termination phase: Saturation
% 20.77/3.30 % (1191654)Time elapsed: 0.565 s
% 20.77/3.30 % (1191654)Peak memory usage: 15 MB
% 20.77/3.30 % (1191654)Instructions burned: 684 (million)
% 20.77/3.30 % (1191678)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3028701073:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 20.77/3.30 % (1191678)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 20.77/3.30 % (1191678)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.77/3.30 % (1191680)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=538925401:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191682)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=50433828:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191684)ott-2_1_sil=16000:newcnf=on:random_seed=1023633064:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 20.77/3.30 % (1191684)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 20.77/3.30 % (1191668)Instruction limit reached!
% 20.77/3.30 % (1191668)------------------------------
% 20.77/3.30 % (1191668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191668)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191668)Termination reason: Instruction limit
% 20.77/3.30 % (1191668)Termination phase: Saturation
% 20.77/3.30 % (1191668)Time elapsed: 0.737 s
% 20.77/3.30 % (1191668)Peak memory usage: 15 MB
% 20.77/3.30 % (1191668)Instructions burned: 880 (million)
% 20.77/3.30 % (1191686)ott+10_1_sil=32000:tgt=ground:random_seed=1504777133:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 20.77/3.30 % (1191661)Instruction limit reached!
% 20.77/3.30 % (1191661)------------------------------
% 20.77/3.30 % (1191661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191661)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191661)Termination reason: Instruction limit
% 20.77/3.30 % (1191661)Termination phase: Saturation
% 20.77/3.30 % (1191661)Time elapsed: 0.966 s
% 20.77/3.30 % (1191661)Peak memory usage: 18 MB
% 20.77/3.30 % (1191661)Instructions burned: 1179 (million)
% 20.77/3.30 % (1191688)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3736276490:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191690)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1762247702:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 20.77/3.30 % (1191690)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.77/3.30 % (1191678)Instruction limit reached!
% 20.77/3.30 % (1191678)------------------------------
% 20.77/3.30 % (1191678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191678)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191678)Termination reason: Instruction limit
% 20.77/3.30 % (1191678)Termination phase: Saturation
% 20.77/3.30 % (1191678)Time elapsed: 0.662 s
% 20.77/3.30 % (1191678)Peak memory usage: 15 MB
% 20.77/3.30 % (1191678)Instructions burned: 1474 (million)
% 20.77/3.30 % (1191692)dis+21_1_sil=32000:sas=cadical:random_seed=3564621078:i=3773:amm=off_2986 on theBenchmark for (2986ds/3773Mi)
% 20.77/3.30 % (1191684)Instruction limit reached!
% 20.77/3.30 % (1191684)------------------------------
% 20.77/3.30 % (1191684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191684)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191684)Termination reason: Instruction limit
% 20.77/3.30 % (1191684)Termination phase: Saturation
% 20.77/3.30 % (1191684)Time elapsed: 0.653 s
% 20.77/3.30 % (1191684)Peak memory usage: 16 MB
% 20.77/3.30 % (1191684)Instructions burned: 870 (million)
% 20.77/3.30 % (1191694)ott+11_1_sil=16000:gs=on:random_seed=3769606060:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2985 on theBenchmark for (2985ds/2251Mi)
% 20.77/3.30 % (1191694)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.77/3.30 % (1191692)Instruction limit reached!
% 20.77/3.30 % (1191692)------------------------------
% 20.77/3.30 % (1191692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191692)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191692)Termination reason: Instruction limit
% 20.77/3.30 % (1191692)Termination phase: Saturation
% 20.77/3.30 % (1191692)Time elapsed: 1.559 s
% 20.77/3.30 % (1191692)Peak memory usage: 28 MB
% 20.77/3.30 % (1191692)Instructions burned: 3776 (million)
% 20.77/3.30 % (1191696)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=980023242:fmbsr=1.6:i=67534_2970 on theBenchmark for (2970ds/67534Mi)
% 20.77/3.30 % (1191694) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1191631-1191694"...
% 20.77/3.30 % Exception at run slice level
% 20.77/3.30 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 20.77/3.30 % (1191694)...printing done.
% 20.77/3.30 % (1191694)Refutation found. Thanks to Tanya!
% 20.77/3.30 % SZS status Theorem for theBenchmark
% 20.77/3.30 % SZS output start Proof for theBenchmark
% See solution above
% 20.77/3.30 % (1191694)------------------------------
% 20.77/3.30 % (1191694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.30 % (1191694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.30 % (1191694)CaDiCaL version: 2.1.3
% 20.77/3.30 % (1191694)Termination reason: Refutation
% 20.77/3.30 % (1191694)Time elapsed: 1.480 s
% 20.77/3.30 % (1191694)Peak memory usage: 16 MB
% 20.77/3.30 % (1191694)Instructions burned: 1853 (million)
% 20.77/3.30 % (1191631)Success in time 3.014 s
% 20.77/3.30 % Vampire exiting
%------------------------------------------------------------------------------