%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP021^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 08:10:22 AM UTC 2026
% Result : Theorem 95.85s 13.99s
% Output : Refutation 95.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 143 ( 28 unt; 0 typ; 4 def)
% Number of atoms : 789 ( 249 equ; 0 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 997 ( 186 ~; 212 |; 49 &; 521 @)
% ( 25 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 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 : 93 ( 90 usr; 28 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 122 !; 9 ?; 131 :)
% 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_2Eextreal_2Eextreal: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
tyop_2Eextreal_2Eextreal: 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_2ECOND_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_20,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_21,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_22,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_23,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_24,type,
c_2Eextreal_2Eextreal__le_2E0: u ).
thf(func_def_25,type,
c_2Eextreal_2Eextreal__le_2E2: du > du > u ).
thf(func_def_26,type,
c_2Eextreal_2Eextreal__max_2E0: u ).
thf(func_def_27,type,
c_2Eextreal_2Eextreal__max_2E2: du > du > u ).
thf(func_def_28,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_29,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_30,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_31,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_32,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_33,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_34,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_35,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_36,type,
mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_37,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_38,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_39,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal: $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
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_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_44,type,
mono_2Ec_2Eextreal_2Eextreal__max: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_45,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_46,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_47,type,
i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
thf(func_def_48,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_49,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_50,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: ( $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_51,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
thf(func_def_52,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_53,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
thf(func_def_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
thf(func_def_55,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_56,type,
j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
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_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29: du > $o > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_60,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_61,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_62,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
thf(func_def_63,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_65,type,
vNOT: $o > $o ).
thf(func_def_68,type,
vAND: $o > $o > $o ).
thf(func_def_69,type,
vOR: $o > $o > $o ).
thf(func_def_70,type,
sP0: $o > $o > $o > $o ).
thf(func_def_71,type,
sP1: $o > $o > $o > $o ).
thf(func_def_72,type,
sP2: $o > $o > $o > $o ).
thf(func_def_73,type,
sP3: $o > $o > $o > $o ).
thf(func_def_74,type,
sP4: $o > $o > $o > $o ).
thf(func_def_75,type,
sP5: $o > $o > $o > $o ).
thf(func_def_76,type,
sP6: $o > $o > $o > $o ).
thf(func_def_77,type,
sP7: $o > $o > $o > $o ).
thf(func_def_78,type,
sP8: $o > $o > $o > $o ).
thf(func_def_79,type,
sP9: $o > $o > $o > $o ).
thf(func_def_80,type,
sK10: u > u > d > d > u ).
thf(func_def_81,type,
sK11: u > d > u ).
thf(func_def_82,type,
sK12: u > d > u ).
thf(func_def_83,type,
sK13: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_84,type,
sK14: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_85,type,
sK15: mono_2Etyop_2Eextreal_2Eextreal ).
thf(func_def_87,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f22,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Eextreal_2Eextreal) ).
thf(f42,axiom,
! [X0: $o,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eextreal_2Eextreal) ).
thf(f50,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(f59,axiom,
! [X0: $o] :
( ( ( X0 = mono_2Ec_2Ebool_2EF )
<=> ~ X0 )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ~ X0 )
& ( ( X0 = mono_2Ec_2Ebool_2ET )
<=> X0 )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
thf(f60,axiom,
! [X0: d,X1: u,X2: u] :
( ( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X2 ) )
& ( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) )
= ( s @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CLAUSES) ).
thf(f64,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
=> ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__trans) ).
thf(f65,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Ele__total) ).
thf(f66,axiom,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Eextreal__max__def) ).
thf(f76,axiom,
! [X0: $o,X1: $o] :
( ( X1
<=> ~ X0 )
<=> ( ( ~ X1
| ~ X0 )
& ( X0
| X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Esat_2Edc__neg) ).
thf(f77,conjecture,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eextreal_2Emax__le) ).
thf(f78,negated_conjecture,
~ ! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f77]) ).
thf(f95,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[],[f50]) ).
thf(f96,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[],[f95]) ).
thf(f111,plain,
! [X0: $o] :
( ( ( X0 = mono_2Ec_2Ebool_2EF )
<=> ~ X0 )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ~ X0 )
& ( ( X0 = mono_2Ec_2Ebool_2ET )
<=> X0 )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> X0 ) ),
inference(rectify,[],[f59]) ).
thf(f112,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ( ( ~ X0 ) = $true ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
<=> ( ( ~ X0 ) = $true ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> ( $true = X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
<=> ( $true = X0 ) ) ),
inference(fool_elimination,[],[f111]) ).
thf(f119,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) )
=> ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 ) ),
inference(rectify,[],[f64]) ).
thf(f120,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
= $true )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $true ) )
=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f119]) ).
thf(f121,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
| ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) ),
inference(rectify,[],[f65]) ).
thf(f122,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f121]) ).
thf(f141,plain,
! [X0: $o,X1: $o] :
( ( X1
<=> ~ X0 )
<=> ( ( ~ X1
| ~ X0 )
& ( X0
| X1 ) ) ),
inference(rectify,[],[f76]) ).
thf(f142,plain,
! [X0: $o,X1: $o] :
( ( ( ~ X0 ) = X1 )
<=> ( ( ( ( ~ X1 ) = $true )
| ( ( ~ X0 ) = $true ) )
& ( ( $true = X0 )
| ( $true = X1 ) ) ) ),
inference(fool_elimination,[],[f141]) ).
thf(f143,plain,
~ ! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
<=> ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
& ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 ) ) ),
inference(rectify,[],[f78]) ).
thf(f144,plain,
~ ! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
= $true )
<=> ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f143]) ).
thf(f154,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f120]) ).
thf(f155,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f154]) ).
thf(f165,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
= $true )
<~> ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true ) ) ),
inference(ennf_transformation,[],[f144]) ).
thf(f198,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( ( ~ X0 ) != $true ) )
& ( ( ( ~ X0 ) = $true )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( ( ~ X0 ) != $true ) )
& ( ( ( ~ X0 ) = $true )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) ) ),
inference(nnf_transformation,[],[f112]) ).
thf(f199,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( ( ~ X0 ) != $true ) )
& ( ( ( ~ X0 ) = $true )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2EF = X0 )
| ( ( ~ X0 ) != $true ) )
& ( ( ( ~ X0 ) = $true )
| ( mono_2Ec_2Ebool_2EF != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) )
& ( ( mono_2Ec_2Ebool_2ET = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != X0 ) ) ),
inference(flattening,[],[f198]) ).
thf(f245,plain,
! [X0: $o,X1: $o] :
( ( ( ( ~ X0 ) = X1 )
| ( ( ( ~ X1 ) != $true )
& ( ( ~ X0 ) != $true ) )
| ( ( $true != X0 )
& ( $true != X1 ) ) )
& ( ( ( ( ( ~ X1 ) = $true )
| ( ( ~ X0 ) = $true ) )
& ( ( $true = X0 )
| ( $true = X1 ) ) )
| ( ( ~ X0 ) != X1 ) ) ),
inference(nnf_transformation,[],[f142]) ).
thf(f246,plain,
! [X0: $o,X1: $o] :
( ( ( ( ~ X0 ) = X1 )
| ( ( ( ~ X1 ) != $true )
& ( ( ~ X0 ) != $true ) )
| ( ( $true != X0 )
& ( $true != X1 ) ) )
& ( ( ( ( ( ~ X1 ) = $true )
| ( ( ~ X0 ) = $true ) )
& ( ( $true = X0 )
| ( $true = X1 ) ) )
| ( ( ~ X0 ) != X1 ) ) ),
inference(flattening,[],[f245]) ).
thf(f247,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
!= $true ) )
& ( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
= $true ) ) ),
inference(nnf_transformation,[],[f165]) ).
thf(f248,plain,
? [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal,X2: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
!= $true ) )
& ( ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
= $true )
& ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ X1 @ X2 ) @ X0 )
= $true ) ) ),
inference(flattening,[],[f247]) ).
thf(f249,plain,
( ( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) )
& ( ( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
& ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f248]) ).
thf(f280,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= X0 ),
inference(cnf_transformation,[],[f22]) ).
thf(f301,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: $o,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X2 ) ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f309,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[],[f96]) ).
thf(f343,plain,
! [X0: $o] :
( ( ( ~ X0 ) = $true )
| ( mono_2Ec_2Ebool_2EF != X0 ) ),
inference(cnf_transformation,[],[f199]) ).
thf(f347,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ X1 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f348,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ X2 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f365,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X2 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X2 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f366,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X1 @ X0 )
= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f367,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 ) @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f460,plain,
! [X0: $o,X1: $o] :
( ( $true = X0 )
| ( $true = X1 )
| ( ( ~ X0 ) != X1 ) ),
inference(cnf_transformation,[],[f246]) ).
thf(f466,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) ),
inference(cnf_transformation,[],[f249]) ).
thf(f467,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) ),
inference(cnf_transformation,[],[f249]) ).
thf(f468,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) ),
inference(cnf_transformation,[],[f249]) ).
thf(f488,plain,
! [X2: u,X0: d,X1: u] :
( ( s @ X0 @ X1 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X0 @ X1 ) @ ( s @ X0 @ X2 ) ) ) ),
inference(definition_unfolding,[],[f347,f309]) ).
thf(f508,plain,
( ( ~ mono_2Ec_2Ebool_2EF ) = $true ),
inference(equality_resolution,[],[f343]) ).
thf(f579,plain,
! [X0: $o] :
( ( $true = X0 )
| ( ( ~ X0 ) = $true ) ),
inference(equality_resolution,[],[f460]) ).
thf(f580,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(not_proxy_clausification,[],[f579]) ).
thf(f715,plain,
mono_2Ec_2Ebool_2EF = $false,
inference(not_proxy_clausification,[],[f508]) ).
thf(f766,definition,
( spl16_1
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) ) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
thf(f767,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) )
| spl16_1 ),
inference(avatar_component_clause,[],[f766]) ).
thf(f768,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 ) )
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f766]) ).
thf(f770,definition,
( spl16_2
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) ) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
thf(f771,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| spl16_2 ),
inference(avatar_component_clause,[],[f770]) ).
thf(f772,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f770]) ).
thf(f773,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f466,f770,f766]) ).
thf(f775,definition,
( spl16_3
<=> ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) ) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
thf(f776,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| spl16_3 ),
inference(avatar_component_clause,[],[f775]) ).
thf(f777,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f775]) ).
thf(f778,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f467,f775,f766]) ).
thf(f779,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f468,f775,f770,f766]) ).
thf(f788,plain,
( ( $true != $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 )
= $false )
| spl16_1 ),
inference(constrained_superposition,[],[f767,f580]) ).
thf(f792,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) @ sK13 )
= $false )
| spl16_1 ),
inference(trivial_inequality_removal,[],[f788]) ).
thf(f1072,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ) ) ),
inference(equality_factoring,[],[f366]) ).
thf(f1073,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X0 ) ),
inference(trivial_inequality_removal,[],[f1072]) ).
thf(f1334,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $false ) ),
inference(constrained_superposition,[],[f365,f580]) ).
thf(f1347,plain,
! [X2: mono_2Etyop_2Eextreal_2Eextreal,X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X0 )
!= $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X2 @ X1 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1334]) ).
thf(f1386,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X1 @ X0 ) )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $false ) ),
inference(constrained_superposition,[],[f367,f580]) ).
thf(f2800,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ mono_2Ec_2Ebool_2EF @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f348,f301]) ).
thf(f2801,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f488,f301]) ).
thf(f2802,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X1 ) )
= ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f2800,f715]) ).
thf(f6502,plain,
( ( $true != $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 )
= $false )
| spl16_3 ),
inference(constrained_superposition,[],[f776,f580]) ).
thf(f6504,plain,
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK15 ) )
| spl16_3 ),
inference(constrained_superposition,[],[f776,f366]) ).
thf(f6515,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK15 ) )
| spl16_3 ),
inference(trivial_inequality_removal,[],[f6504]) ).
thf(f6517,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 )
= $false )
| spl16_3 ),
inference(trivial_inequality_removal,[],[f6502]) ).
thf(f6518,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| spl16_3 ),
inference(constrained_superposition,[],[f365,f6515]) ).
thf(f6524,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) ) )
| spl16_3 ),
inference(trivial_inequality_removal,[],[f6518]) ).
thf(f6621,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ X0 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) ) )
| ~ spl16_2 ),
inference(constrained_superposition,[],[f1347,f772]) ).
thf(f6631,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ X0 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) ) )
| ~ spl16_2 ),
inference(trivial_inequality_removal,[],[f6621]) ).
thf(f6647,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| spl16_3 ),
inference(constrained_superposition,[],[f6524,f580]) ).
thf(f6675,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| spl16_3 ),
inference(trivial_inequality_removal,[],[f6647]) ).
thf(f6814,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ X0 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ sK14 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) ) )
| ~ spl16_2 ),
inference(constrained_superposition,[],[f367,f6631]) ).
thf(f7746,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 ) ),
inference(constrained_superposition,[],[f280,f2801]) ).
thf(f7764,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $true @ X0 @ X1 )
= X0 ),
inference(forward_demodulation,[],[f7746,f280]) ).
thf(f7840,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ X0 ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X1 @ X0 ) ),
inference(constrained_superposition,[],[f280,f2802]) ).
thf(f7853,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ X1 @ X0 )
= X0 ),
inference(forward_demodulation,[],[f7840,f280]) ).
thf(f14176,plain,
! [X0: mono_2Etyop_2Eextreal_2Eextreal,X1: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ X1 )
= X1 )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ X1 )
= $false ) ),
inference(forward_demodulation,[],[f1386,f7764]) ).
thf(f14182,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ X0 )
= X0 )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ X0 ) ) )
| ~ spl16_2 ),
inference(forward_demodulation,[],[f6814,f7764]) ).
thf(f14868,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK15 ) )
| ~ spl16_1
| ~ spl16_2 ),
inference(constrained_superposition,[],[f768,f14182]) ).
thf(f14880,plain,
( ( $true = $false )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK15 ) )
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(forward_demodulation,[],[f14868,f6517]) ).
thf(f14881,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK15 ) )
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(trivial_inequality_removal,[],[f14880]) ).
thf(f14892,plain,
( ( $true = $false )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK13 ) )
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(constrained_superposition,[],[f14881,f6675]) ).
thf(f14914,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK13 @ sK13 ) )
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(trivial_inequality_removal,[],[f14892]) ).
thf(f14922,plain,
( ( $true = $false )
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(forward_demodulation,[],[f14914,f1073]) ).
thf(f14923,plain,
( $false
| ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(trivial_inequality_removal,[],[f14922]) ).
thf(f14924,plain,
( ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(avatar_contradiction_clause,[],[f14923]) ).
thf(f14927,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) )
| ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) ) )
| ~ spl16_3 ),
inference(constrained_superposition,[],[f365,f777]) ).
thf(f14931,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f14927]) ).
thf(f15092,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $true != $true )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) ) )
| ~ spl16_3 ),
inference(constrained_superposition,[],[f14931,f580]) ).
thf(f15105,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK15 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f15092]) ).
thf(f15176,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sK15 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK15 @ X0 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| ~ spl16_3 ),
inference(constrained_superposition,[],[f367,f15105]) ).
thf(f15199,plain,
( ! [X0: mono_2Etyop_2Eextreal_2Eextreal] :
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ X0 @ sK15 )
= X0 )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ X0 @ sK13 ) ) )
| ~ spl16_3 ),
inference(forward_demodulation,[],[f15176,f7853]) ).
thf(f15773,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 )
= $false )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| spl16_1 ),
inference(constrained_superposition,[],[f792,f14176]) ).
thf(f15787,definition,
( spl16_356
<=> ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) ) ),
introduced(definition,[new_symbols(definition,[spl16_356])],[avatar_definition]) ).
thf(f15789,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| ~ spl16_356 ),
inference(avatar_component_clause,[],[f15787]) ).
thf(f15810,plain,
( ( $true = $false )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| spl16_1
| ~ spl16_3 ),
inference(forward_demodulation,[],[f15773,f777]) ).
thf(f15811,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| spl16_1
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f15810]) ).
thf(f15822,plain,
( spl16_356
| spl16_1
| ~ spl16_3 ),
inference(avatar_split_clause,[],[f15811,f775,f766,f15787]) ).
thf(f15829,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @ $false @ sK15 @ sK14 ) )
| ~ spl16_356 ),
inference(constrained_superposition,[],[f367,f15789]) ).
thf(f15838,plain,
( ( sK14
= ( mono_2Ec_2Eextreal_2Eextreal__max @ sK14 @ sK15 ) )
| ~ spl16_356 ),
inference(forward_demodulation,[],[f15829,f7853]) ).
thf(f15858,plain,
( ( $true
!= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| spl16_1
| ~ spl16_356 ),
inference(constrained_superposition,[],[f767,f15838]) ).
thf(f15872,plain,
( ( $true != $true )
| spl16_1
| ~ spl16_2
| ~ spl16_356 ),
inference(forward_demodulation,[],[f15858,f772]) ).
thf(f15873,plain,
( $false
| spl16_1
| ~ spl16_2
| ~ spl16_356 ),
inference(trivial_inequality_removal,[],[f15872]) ).
thf(f15874,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_356 ),
inference(avatar_contradiction_clause,[],[f15873]) ).
thf(f15875,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ~ spl16_1
| ~ spl16_356 ),
inference(forward_demodulation,[],[f768,f15838]) ).
thf(f15880,plain,
( spl16_2
| ~ spl16_1
| ~ spl16_356 ),
inference(avatar_split_clause,[],[f15875,f15787,f766,f770]) ).
thf(f15881,plain,
( ( $true != $true )
| ( ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 )
= $false )
| spl16_2 ),
inference(constrained_superposition,[],[f771,f580]) ).
thf(f15886,plain,
( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 )
= $false )
| spl16_2 ),
inference(trivial_inequality_removal,[],[f15881]) ).
thf(f15896,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK15 @ sK13 ) )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| ~ spl16_1 ),
inference(constrained_superposition,[],[f768,f14176]) ).
thf(f15897,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ~ spl16_1
| ~ spl16_3 ),
inference(constrained_superposition,[],[f768,f15199]) ).
thf(f15906,plain,
( ( $true
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK13 ) )
| ~ spl16_1
| ~ spl16_3 ),
inference(duplicate_literal_removal,[],[f15897]) ).
thf(f15908,plain,
( ( $true = $false )
| ~ spl16_1
| spl16_2
| ~ spl16_3 ),
inference(forward_demodulation,[],[f15906,f15886]) ).
thf(f15909,plain,
( $false
| ~ spl16_1
| spl16_2
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f15908]) ).
thf(f15910,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_3 ),
inference(avatar_contradiction_clause,[],[f15909]) ).
thf(f15911,plain,
( ( $true = $false )
| ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| ~ spl16_1
| spl16_3 ),
inference(forward_demodulation,[],[f15896,f6517]) ).
thf(f15912,plain,
( ( $false
= ( mono_2Ec_2Eextreal_2Eextreal__le @ sK14 @ sK15 ) )
| ~ spl16_1
| spl16_3 ),
inference(trivial_inequality_removal,[],[f15911]) ).
thf(f15913,plain,
( spl16_356
| ~ spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f15912,f775,f766,f15787]) ).
cnf(s2,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f773]) ).
cnf(s4,plain,
( spl16_1
| spl16_3 ),
inference(sat_conversion,[],[f778]) ).
cnf(s6,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(sat_conversion,[],[f779]) ).
cnf(s2796,plain,
( ~ spl16_1
| ~ spl16_2
| spl16_3 ),
inference(sat_conversion,[],[f14924]) ).
cnf(s2858,plain,
( spl16_1
| ~ spl16_3
| spl16_356 ),
inference(sat_conversion,[],[f15822]) ).
cnf(s2873,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_356 ),
inference(sat_conversion,[],[f15874]) ).
cnf(s2876,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_356 ),
inference(sat_conversion,[],[f15880]) ).
cnf(s2888,plain,
( ~ spl16_1
| spl16_2
| ~ spl16_3 ),
inference(sat_conversion,[],[f15910]) ).
cnf(s2895,plain,
( ~ spl16_1
| spl16_3
| spl16_356 ),
inference(sat_conversion,[],[f15913]) ).
cnf(s3093,plain,
spl16_1,
inference(rat,[],[s2858,s2873,s2,s4]) ).
cnf(s3094,plain,
spl16_2,
inference(rat,[],[s2895,s2876,s2888,s3093]) ).
cnf(s3095,plain,
spl16_3,
inference(rat,[],[s2796,s3093,s3094]) ).
cnf(s3096,plain,
$false,
inference(rat,[],[s6,s3093,s3095,s3094]) ).
thf(f15914,plain,
$false,
inference(avatar_sat_refutation,[],[s3096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP021^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:34:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/0.97 % (251822)Will run a generic schedule for satisfiability detection.
% 4.05/0.97 % (251836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2131323547_2999 on theBenchmark for (2999ds/0Mi)
% 4.05/0.97 % (251837)% WARNING: option uhcvi not known.
% 4.05/0.97 % Exception at run slice level
% 4.05/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.05/0.97 % (251838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2013674417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.05/0.97 % (251839)dis+10_1_sil=32000:sp=arity:random_seed=1369947293:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.05/0.97 % (251840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1227761079:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.05/0.97 % (251837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2315740085:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.05/0.97 % (251843)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1468494972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.05/0.97 % (251841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2587616089:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.05/0.97 % (251840)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.05/0.97 % (251837)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.05/0.97 % (251850)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=483243378:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.05/0.97 % (251837)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.05/0.97 % Exception at run slice level
% 4.05/0.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.05/0.97 % (251863)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2695776369:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.05/0.97 % (251839)Instruction limit reached!
% 4.05/0.97 % (251839)------------------------------
% 4.05/0.97 % (251839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (251839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (251839)CaDiCaL version: 2.1.3
% 4.05/0.97 % (251839)Termination reason: Instruction limit
% 4.05/0.97 % (251839)Termination phase: Saturation
% 4.05/0.97 % (251839)Time elapsed: 0.055 s
% 4.05/0.97 % (251839)Peak memory usage: 12 MB
% 4.05/0.97 % (251839)Instructions burned: 103 (million)
% 4.05/0.97 % (251840)Instruction limit reached!
% 4.05/0.97 % (251840)------------------------------
% 4.05/0.97 % (251840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (251840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (251840)CaDiCaL version: 2.1.3
% 4.05/0.97 % (251840)Termination reason: Instruction limit
% 4.05/0.97 % (251840)Termination phase: Saturation
% 4.05/0.97 % (251840)Time elapsed: 0.063 s
% 4.05/0.97 % (251840)Peak memory usage: 12 MB
% 4.05/0.97 % (251840)Instructions burned: 120 (million)
% 4.05/0.97 % (251863)Instruction limit reached!
% 4.05/0.97 % (251863)------------------------------
% 4.05/0.97 % (251863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (251863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (251863)CaDiCaL version: 2.1.3
% 4.05/0.97 % (251863)Termination reason: Instruction limit
% 4.05/0.97 % (251863)Termination phase: Saturation
% 4.05/0.97 % (251863)Time elapsed: 0.038 s
% 4.05/0.97 % (251863)Peak memory usage: 12 MB
% 4.05/0.97 % (251863)Instructions burned: 138 (million)
% 4.05/0.97 % (251841)Instruction limit reached!
% 4.05/0.97 % (251841)------------------------------
% 4.05/0.97 % (251841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.97 % (251841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.97 % (251841)CaDiCaL version: 2.1.3
% 4.05/0.97 % (251841)Termination reason: Instruction limit
% 4.05/0.97 % (251841)Termination phase: Saturation
% 4.05/0.97 % (251841)Time elapsed: 0.067 s
% 4.05/0.97 % (251841)Peak memory usage: 13 MB
% 4.05/0.97 % (251841)Instructions burned: 132 (million)
% 4.05/0.97 % (251887)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1733238525:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.99/2.96 % (251882)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=30772182:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 17.99/2.96 % (251882)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.99/2.96 % (251843)Instruction limit reached!
% 17.99/2.96 % (251843)------------------------------
% 17.99/2.96 % (251843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/2.96 % (251843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/2.96 % (251843)CaDiCaL version: 2.1.3
% 17.99/2.96 % (251843)Termination reason: Instruction limit
% 17.99/2.96 % (251843)Termination phase: Saturation
% 17.99/2.96 % (251843)Time elapsed: 0.081 s
% 17.99/2.96 % (251843)Peak memory usage: 13 MB
% 17.99/2.96 % (251843)Instructions burned: 159 (million)
% 17.99/2.96 % (251886)ott-21_1_sil=16000:fs=off:random_seed=3935316753:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.99/2.96 % (251890)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3192830865:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.99/2.96 % (251882)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 17.99/2.96 % Exception at run slice level
% 17.99/2.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.99/2.96 % (251900)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=928152454:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.99/2.96 % (251907)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=874833255:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.99/2.96 % Exception at run slice level
% 17.99/2.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.99/2.96 % (251922)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=555224360:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.99/2.96 % (251922)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.99/2.96 % (251886)Instruction limit reached!
% 17.99/2.96 % (251886)------------------------------
% 17.99/2.96 % (251886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/2.96 % (251886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/2.96 % (251886)CaDiCaL version: 2.1.3
% 17.99/2.96 % (251886)Termination reason: Instruction limit
% 17.99/2.96 % (251886)Termination phase: Saturation
% 17.99/2.96 % (251886)Time elapsed: 0.078 s
% 17.99/2.96 % (251886)Peak memory usage: 13 MB
% 17.99/2.96 % (251886)Instructions burned: 181 (million)
% 17.99/2.96 % (251935)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=351451417:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.99/2.96 % (251935)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.99/2.96 % (251887)Instruction limit reached!
% 17.99/2.96 % (251887)------------------------------
% 17.99/2.96 % (251887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.99/2.96 % (251887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.99/2.96 % (251887)CaDiCaL version: 2.1.3
% 17.99/2.96 % (251887)Termination reason: Instruction limit
% 17.99/2.96 % (251887)Termination phase: Saturation
% 17.99/2.96 % (251887)Time elapsed: 0.148 s
% 17.99/2.96 % (251887)Peak memory usage: 13 MB
% 17.99/2.96 % (251887)Instructions burned: 478 (million)
% 17.99/2.96 % (251961)fmb+10_1_sil=64000:random_seed=1392861541:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.99/2.96 % (251961)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.99/2.96 % Exception at run slice level
% 17.99/2.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.99/2.96 % (251968)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=311957429:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.99/2.96 % Exception at run slice level
% 17.99/2.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.99/2.96 % (251977)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1900295147:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 33.14/4.96 % Exception at run slice level
% 33.14/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.14/4.96 % (251985)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3861278224:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 33.14/4.96 % (251985)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 33.14/4.96 % (251882)Instruction limit reached!
% 33.14/4.96 % (251882)------------------------------
% 33.14/4.96 % (251882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.14/4.96 % (251882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.14/4.96 % (251882)CaDiCaL version: 2.1.3
% 33.14/4.96 % (251882)Termination reason: Instruction limit
% 33.14/4.96 % (251882)Termination phase: Saturation
% 33.14/4.96 % (251882)Time elapsed: 0.326 s
% 33.14/4.96 % (251882)Peak memory usage: 15 MB
% 33.14/4.96 % (251882)Instructions burned: 686 (million)
% 33.14/4.96 % (252039)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=745319218:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 33.14/4.96 % (252039)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 33.14/4.96 % (252039)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 33.14/4.96 % (251922)Instruction limit reached!
% 33.14/4.96 % (251922)------------------------------
% 33.14/4.96 % (251922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.14/4.96 % (251922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.14/4.96 % (251922)CaDiCaL version: 2.1.3
% 33.14/4.96 % (251922)Termination reason: Instruction limit
% 33.14/4.96 % (251922)Termination phase: Saturation
% 33.14/4.96 % (251922)Time elapsed: 0.323 s
% 33.14/4.96 % (251922)Peak memory usage: 16 MB
% 33.14/4.96 % (251922)Instructions burned: 693 (million)
% 33.14/4.96 % (252065)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3318127084:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 33.14/4.96 % Exception at run slice level
% 33.14/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.14/4.96 % (252078)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3125904761:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 33.14/4.96 % Exception at run slice level
% 33.14/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.14/4.96 % (252090)ott-2_1_sil=16000:newcnf=on:random_seed=1015612835:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 33.14/4.96 % (252090)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 33.14/4.96 % (251935)Instruction limit reached!
% 33.14/4.96 % (251935)------------------------------
% 33.14/4.96 % (251935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.14/4.96 % (251935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.14/4.96 % (251935)CaDiCaL version: 2.1.3
% 33.14/4.96 % (251935)Termination reason: Instruction limit
% 33.14/4.96 % (251935)Termination phase: Saturation
% 33.14/4.96 % (251935)Time elapsed: 0.429 s
% 33.14/4.96 % (251935)Peak memory usage: 15 MB
% 33.14/4.96 % (251935)Instructions burned: 881 (million)
% 33.14/4.96 % (252127)ott+10_1_sil=32000:tgt=ground:random_seed=3258883128:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 33.14/4.96 % (251900)Instruction limit reached!
% 33.14/4.96 % (251900)------------------------------
% 33.14/4.96 % (251900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.14/4.96 % (251900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.14/4.96 % (251900)CaDiCaL version: 2.1.3
% 33.14/4.96 % (251900)Termination reason: Instruction limit
% 33.14/4.96 % (251900)Termination phase: Saturation
% 33.14/4.96 % (251900)Time elapsed: 0.551 s
% 33.14/4.96 % (251900)Peak memory usage: 18 MB
% 33.14/4.96 % (251900)Instructions burned: 1179 (million)
% 33.14/4.96 % (252144)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4275191428:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 33.14/4.96 % Exception at run slice level
% 33.14/4.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 33.14/4.96 % (252158)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3209343384:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 92.07/13.20 % (252158)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 92.07/13.20 % (252090)Instruction limit reached!
% 92.07/13.20 % (252090)------------------------------
% 92.07/13.20 % (252090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (252090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.07/13.20 % (252090)CaDiCaL version: 2.1.3
% 92.07/13.20 % (252090)Termination reason: Instruction limit
% 92.07/13.20 % (252090)Termination phase: Saturation
% 92.07/13.20 % (252090)Time elapsed: 0.395 s
% 92.07/13.20 % (252090)Peak memory usage: 13 MB
% 92.07/13.20 % (252090)Instructions burned: 871 (million)
% 92.07/13.20 % (252250)dis+21_1_sil=32000:sas=cadical:random_seed=576773850:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 92.07/13.20 % (252039)Instruction limit reached!
% 92.07/13.20 % (252039)------------------------------
% 92.07/13.20 % (252039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (252039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.07/13.20 % (252039)CaDiCaL version: 2.1.3
% 92.07/13.20 % (252039)Termination reason: Instruction limit
% 92.07/13.20 % (252039)Termination phase: Saturation
% 92.07/13.20 % (252039)Time elapsed: 0.684 s
% 92.07/13.20 % (252039)Peak memory usage: 17 MB
% 92.07/13.20 % (252039)Instructions burned: 1473 (million)
% 92.07/13.20 % (252297)ott+11_1_sil=16000:gs=on:random_seed=2990165884:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 92.07/13.20 % (252297)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 92.07/13.20 % (251985)Instruction limit reached!
% 92.07/13.20 % (251985)------------------------------
% 92.07/13.20 % (251985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (251985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.07/13.20 % (251985)CaDiCaL version: 2.1.3
% 92.07/13.20 % (251985)Termination reason: Instruction limit
% 92.07/13.20 % (251985)Termination phase: Saturation
% 92.07/13.20 % (251985)Time elapsed: 1.204 s
% 92.07/13.20 % (251985)Peak memory usage: 29 MB
% 92.07/13.20 % (251985)Instructions burned: 5136 (million)
% 92.07/13.20 % (252402)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4146286609:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 92.07/13.20 % Exception at run slice level
% 92.07/13.20 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 92.07/13.20 % (252404)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1923372898:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 92.07/13.20 % (252297)Instruction limit reached!
% 92.07/13.20 % (252297)------------------------------
% 92.07/13.20 % (252297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (252297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.07/13.20 % (252297)CaDiCaL version: 2.1.3
% 92.07/13.20 % (252297)Termination reason: Instruction limit
% 92.07/13.20 % (252297)Termination phase: Saturation
% 92.07/13.20 % (252297)Time elapsed: 0.943 s
% 92.07/13.20 % (252297)Peak memory usage: 16 MB
% 92.07/13.20 % (252297)Instructions burned: 2253 (million)
% 92.07/13.20 % (252545)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3931538890:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 92.07/13.20 % (252158)Instruction limit reached!
% 92.07/13.20 % (252158)------------------------------
% 92.07/13.20 % (252158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (252158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.07/13.20 % (252158)CaDiCaL version: 2.1.3
% 92.07/13.20 % (252158)Termination reason: Instruction limit
% 92.07/13.20 % (252158)Termination phase: Saturation
% 92.07/13.20 % (252158)Time elapsed: 1.555 s
% 92.07/13.20 % (252158)Peak memory usage: 27 MB
% 92.07/13.20 % (252158)Instructions burned: 3512 (million)
% 92.07/13.20 % (252584)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1697168812:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 92.07/13.20 % (252250)Instruction limit reached!
% 92.07/13.20 % (252250)------------------------------
% 92.07/13.20 % (252250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 92.07/13.20 % (252250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252250)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252250)Termination reason: Instruction limit
% 95.85/13.99 % (252250)Termination phase: Saturation
% 95.85/13.99 % (252250)Time elapsed: 1.728 s
% 95.85/13.99 % (252250)Peak memory usage: 28 MB
% 95.85/13.99 % (252250)Instructions burned: 3775 (million)
% 95.85/13.99 % (252605)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2962573703:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252607)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1341049877:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252404)Instruction limit reached!
% 95.85/13.99 % (252404)------------------------------
% 95.85/13.99 % (252404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252404)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252404)Termination reason: Instruction limit
% 95.85/13.99 % (252404)Termination phase: Saturation
% 95.85/13.99 % (252404)Time elapsed: 1.249 s
% 95.85/13.99 % (252404)Peak memory usage: 23 MB
% 95.85/13.99 % (252404)Instructions burned: 4595 (million)
% 95.85/13.99 % (252609)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=762892030:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252610)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1881272921:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 95.85/13.99 % (252612)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=144486198:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 95.85/13.99 % (252127)Instruction limit reached!
% 95.85/13.99 % (252127)------------------------------
% 95.85/13.99 % (252127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252127)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252127)Termination reason: Instruction limit
% 95.85/13.99 % (252127)Termination phase: Saturation
% 95.85/13.99 % (252127)Time elapsed: 2.239 s
% 95.85/13.99 % (252127)Peak memory usage: 24 MB
% 95.85/13.99 % (252127)Instructions burned: 5116 (million)
% 95.85/13.99 % (252615)dis+10_16:1_sil=16000:random_seed=3915718291:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 95.85/13.99 % (252584)Instruction limit reached!
% 95.85/13.99 % (252584)------------------------------
% 95.85/13.99 % (252584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252584)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252584)Termination reason: Instruction limit
% 95.85/13.99 % (252584)Termination phase: Saturation
% 95.85/13.99 % (252584)Time elapsed: 2.364 s
% 95.85/13.99 % (252584)Peak memory usage: 34 MB
% 95.85/13.99 % (252584)Instructions burned: 5211 (million)
% 95.85/13.99 % (252612)Instruction limit reached!
% 95.85/13.99 % (252612)------------------------------
% 95.85/13.99 % (252612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252612)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252612)Termination reason: Instruction limit
% 95.85/13.99 % (252612)Termination phase: Saturation
% 95.85/13.99 % (252612)Time elapsed: 1.844 s
% 95.85/13.99 % (252612)Peak memory usage: 26 MB
% 95.85/13.99 % (252612)Instructions burned: 8177 (million)
% 95.85/13.99 % (252617)ott-3_8_sil=64000:random_seed=224824236:i=20139:bs=on_2953 on theBenchmark for (2953ds/20139Mi)
% 95.85/13.99 % (252618)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=571964344:fmbsr=2:i=32576_2953 on theBenchmark for (2953ds/32576Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252621)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=4196095891:i=11404_2952 on theBenchmark for (2952ds/11404Mi)
% 95.85/13.99 % (252615)Instruction limit reached!
% 95.85/13.99 % (252615)------------------------------
% 95.85/13.99 % (252615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252615)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252615)Termination reason: Instruction limit
% 95.85/13.99 % (252615)Termination phase: Saturation
% 95.85/13.99 % (252615)Time elapsed: 3.769 s
% 95.85/13.99 % (252615)Peak memory usage: 48 MB
% 95.85/13.99 % (252615)Instructions burned: 9156 (million)
% 95.85/13.99 % (252623)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=853398816:i=14134_2932 on theBenchmark for (2932ds/14134Mi)
% 95.85/13.99 % (252623)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 95.85/13.99 % (252617)Instruction limit reached!
% 95.85/13.99 % (252617)------------------------------
% 95.85/13.99 % (252617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252617)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252617)Termination reason: Instruction limit
% 95.85/13.99 % (252617)Termination phase: Saturation
% 95.85/13.99 % (252617)Time elapsed: 4.619 s
% 95.85/13.99 % (252617)Peak memory usage: 36 MB
% 95.85/13.99 % (252617)Instructions burned: 20140 (million)
% 95.85/13.99 % (252625)dis+33_16_sil=32000:sac=on:random_seed=950766780:i=15851:nm=0_2906 on theBenchmark for (2906ds/15851Mi)
% 95.85/13.99 % (252621)Instruction limit reached!
% 95.85/13.99 % (252621)------------------------------
% 95.85/13.99 % (252621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252621)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252621)Termination reason: Instruction limit
% 95.85/13.99 % (252621)Termination phase: Saturation
% 95.85/13.99 % (252621)Time elapsed: 4.945 s
% 95.85/13.99 % (252621)Peak memory usage: 62 MB
% 95.85/13.99 % (252621)Instructions burned: 11406 (million)
% 95.85/13.99 % (252627)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=242409316:avsq=on:i=17627:add=on:amm=off_2903 on theBenchmark for (2903ds/17627Mi)
% 95.85/13.99 % (252610)Instruction limit reached!
% 95.85/13.99 % (252610)------------------------------
% 95.85/13.99 % (252610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252610)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252610)Termination reason: Instruction limit
% 95.85/13.99 % (252610)Termination phase: Saturation
% 95.85/13.99 % (252610)Time elapsed: 8.940 s
% 95.85/13.99 % (252610)Peak memory usage: 32 MB
% 95.85/13.99 % (252610)Instructions burned: 22569 (million)
% 95.85/13.99 % (252630)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3849973850:s2a=on:i=53295_2882 on theBenchmark for (2882ds/53295Mi)
% 95.85/13.99 % (252625)Instruction limit reached!
% 95.85/13.99 % (252625)------------------------------
% 95.85/13.99 % (252625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252625)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252625)Termination reason: Instruction limit
% 95.85/13.99 % (252625)Termination phase: Saturation
% 95.85/13.99 % (252625)Time elapsed: 3.520 s
% 95.85/13.99 % (252625)Peak memory usage: 37 MB
% 95.85/13.99 % (252625)Instructions burned: 15857 (million)
% 95.85/13.99 % (252632)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=2365735885:i=26857:ins=20_2871 on theBenchmark for (2871ds/26857Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252634)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=2220096342:i=28120:bs=on:fsr=off_2871 on theBenchmark for (2871ds/28120Mi)
% 95.85/13.99 % (252623)Instruction limit reached!
% 95.85/13.99 % (252623)------------------------------
% 95.85/13.99 % (252623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252623)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252623)Termination reason: Instruction limit
% 95.85/13.99 % (252623)Termination phase: Saturation
% 95.85/13.99 % (252623)Time elapsed: 6.249 s
% 95.85/13.99 % (252623)Peak memory usage: 65 MB
% 95.85/13.99 % (252623)Instructions burned: 14135 (million)
% 95.85/13.99 % (252636)fmb+10_1_sil=256000:fmbss=7:random_seed=4127828696:fmbsr=1.6:i=182295_2870 on theBenchmark for (2870ds/182295Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252638)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=1284497236:i=44625:gsp=on_2869 on theBenchmark for (2869ds/44625Mi)
% 95.85/13.99 % (252638)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 95.85/13.99 % (252638)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252640)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=208926579:i=160505_2869 on theBenchmark for (2869ds/160505Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252642)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3153689314:fmbsr=1.3:i=225729_2869 on theBenchmark for (2869ds/225729Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252644)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=961067149:fmbsr=2:i=185024:ins=7_2869 on theBenchmark for (2869ds/185024Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252646)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=467030835:rtra=on_2868 on theBenchmark for (2868ds/0Mi)
% 95.85/13.99 % Exception at run slice level
% 95.85/13.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 95.85/13.99 % (252648)% WARNING: option uhcvi not known.
% 95.85/13.99 % (252648)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4120087241:i=271062:add=off:rtra=on:rawr=on_2868 on theBenchmark for (2868ds/271062Mi)
% 95.85/13.99 % (252648)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 95.85/13.99 % (252648)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 95.85/13.99 % (252634) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-251822-252634"...
% 95.85/13.99 % (252634)...printing done.
% 95.85/13.99 % (252634)Refutation found. Thanks to Tanya!
% 95.85/13.99 % SZS status Theorem for theBenchmark
% 95.85/13.99 % SZS output start Proof for theBenchmark
% See solution above
% 95.85/13.99 % (252634)------------------------------
% 95.85/13.99 % (252634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.85/13.99 % (252634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.85/13.99 % (252634)CaDiCaL version: 2.1.3
% 95.85/13.99 % (252634)Termination reason: Refutation
% 95.85/13.99 % (252634)Time elapsed: 0.850 s
% 95.85/13.99 % (252634)Peak memory usage: 21 MB
% 95.85/13.99 % (252634)Instructions burned: 1763 (million)
% 95.85/13.99 % (251822)Success in time 13.76 s
% 95.85/13.99 % Vampire exiting
%------------------------------------------------------------------------------