%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 08:05:12 AM UTC 2026
% Result : Theorem 0.21s 0.33s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 29 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1073 ( 27 ~; 31 |; 33 &; 962 @)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 63 ( 0 ^; 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
d: $tType ).
thf(decl_sort2,type,
u: $tType ).
thf(decl_sort3,type,
du: $tType ).
thf(decl_sort4,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(decl_23,type,
tyop_2Efcp_2Ecart: d > d > d ).
thf(decl_24,type,
tyop_2Emin_2Ebool: d ).
thf(decl_26,type,
tyop_2Enum_2Enum: d ).
thf(decl_27,type,
s: d > u > du ).
thf(decl_49,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(decl_55,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(decl_57,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
thf(decl_59,type,
c_2Ewords_2Eword__add_2E2: du > du > u ).
thf(decl_61,type,
c_2Ewords_2Eword__sub_2E2: du > du > u ).
thf(decl_70,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(decl_71,type,
mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(decl_73,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(decl_75,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(decl_76,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(decl_79,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(decl_86,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(decl_95,type,
esk1_0: d ).
thf(decl_96,type,
esk2_0: mono_2Etyop_2Enum_2Enum ).
thf(decl_97,type,
esk3_0: mono_2Etyop_2Enum_2Enum ).
thf(thm_2Ebool_2Ebool__case__thm,axiom,
! [X1: d] :
( ! [X60: u,X61: u] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X1 @ X60 ) @ ( s @ X1 @ X61 ) ) )
= ( s @ X1 @ X60 ) )
& ! [X62: u,X63: u] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X1 @ X62 ) @ ( s @ X1 @ X63 ) ) )
= ( s @ X1 @ X63 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p',thm_2Ebool_2Ebool__case__thm) ).
thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [X47: $o] :
( ( ( mono_2Ec_2Ebool_2ET
=> X47 )
<=> X47 )
& ( ( X47
=> mono_2Ec_2Ebool_2ET )
<=> mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Ebool_2EF
=> X47 )
<=> mono_2Ec_2Ebool_2ET )
& ( ( X47
=> X47 )
<=> mono_2Ec_2Ebool_2ET )
& ( ( X47
=> mono_2Ec_2Ebool_2EF )
<=> ~ X47 ) ),
file('/export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p',thm_2Ebool_2EIMP__CLAUSES) ).
thf(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [X1: d,X2: d] :
( ! [X66: mono_2Etyop_2Enum_2Enum,X67: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X66 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X67 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X66 @ X67 ) ) ) ) ) ) ) )
& ! [X68: mono_2Etyop_2Enum_2Enum,X69: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X68 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X69 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X69 @ X68 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X68 @ X69 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X69 @ X68 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
thf(thm_2Ewords_2En2w__sub,conjecture,
! [X1: d,X70: mono_2Etyop_2Enum_2Enum,X71: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X71 @ X70 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X70 @ X71 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X70 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X71 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p',thm_2Ewords_2En2w__sub) ).
thf(thm_2Ewords_2Eword__sub__def,axiom,
! [X1: d,X64: u,X65: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X64 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X65 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X64 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X65 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p',thm_2Ewords_2Eword__sub__def) ).
thf(c_0_5,axiom,
! [X1: d] :
( ! [X60: u,X61: u] :
( ( ~ mono_2Ec_2Ebool_2ET
| ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X1 @ X60 ) @ ( s @ X1 @ X61 ) ) )
= ( s @ X1 @ X60 ) ) )
& ( mono_2Ec_2Ebool_2ET
| ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X1 @ X60 ) @ ( s @ X1 @ X61 ) ) )
= ( s @ X1 @ X60 ) ) ) )
& ! [X62: u,X63: u] :
( ( ~ mono_2Ec_2Ebool_2EF
| ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X1 @ X62 ) @ ( s @ X1 @ X63 ) ) )
= ( s @ X1 @ X63 ) ) )
& ( mono_2Ec_2Ebool_2EF
| ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X1 @ X62 ) @ ( s @ X1 @ X63 ) ) )
= ( s @ X1 @ X63 ) ) ) ) ),
inference(fool_unroll,[status(thm)],[thm_2Ebool_2Ebool__case__thm]) ).
thf(c_0_6,plain,
! [X47: $o] :
( ( ( mono_2Ec_2Ebool_2ET
=> X47 )
<=> X47 )
& ( ( X47
=> mono_2Ec_2Ebool_2ET )
<=> mono_2Ec_2Ebool_2ET )
& ( ( mono_2Ec_2Ebool_2EF
=> X47 )
<=> mono_2Ec_2Ebool_2ET )
& mono_2Ec_2Ebool_2ET
& ( ( X47
=> mono_2Ec_2Ebool_2EF )
<=> ~ X47 ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
thf(c_0_7,axiom,
! [X1: d,X2: d] :
( ! [X66: mono_2Etyop_2Enum_2Enum,X67: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X66 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X67 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X66 @ X67 ) ) ) ) ) ) ) )
& ! [X68: mono_2Etyop_2Enum_2Enum,X69: mono_2Etyop_2Enum_2Enum] :
( ( ~ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X69 @ X68 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X68 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X69 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X68 @ X69 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X69 @ X68 ) ) ) ) ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X69 @ X68 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X68 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X69 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X68 @ X69 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X69 @ X68 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_unroll,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD]) ).
thf(c_0_8,plain,
! [X227: d,X228: u,X229: u,X230: u,X231: u] :
( ( ~ mono_2Ec_2Ebool_2ET
| ( ( s @ X227 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X227 @ X228 ) @ ( s @ X227 @ X229 ) ) )
= ( s @ X227 @ X228 ) ) )
& ( mono_2Ec_2Ebool_2ET
| ( ( s @ X227 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X227 @ X228 ) @ ( s @ X227 @ X229 ) ) )
= ( s @ X227 @ X228 ) ) )
& ( ~ mono_2Ec_2Ebool_2EF
| ( ( s @ X227 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X227 @ X230 ) @ ( s @ X227 @ X231 ) ) )
= ( s @ X227 @ X231 ) ) )
& ( mono_2Ec_2Ebool_2EF
| ( ( s @ X227 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X227 @ X230 ) @ ( s @ X227 @ X231 ) ) )
= ( s @ X227 @ X231 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])])]) ).
thf(c_0_9,plain,
! [X240: $o] :
( ( mono_2Ec_2Ebool_2ET
| X240 )
& ( ~ X240
| X240 )
& ( ~ X240
| ~ mono_2Ec_2Ebool_2ET
| X240 )
& ( X240
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| ~ X240
| mono_2Ec_2Ebool_2ET )
& ( mono_2Ec_2Ebool_2EF
| mono_2Ec_2Ebool_2ET )
& ( ~ X240
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| ~ mono_2Ec_2Ebool_2EF
| X240 )
& mono_2Ec_2Ebool_2ET
& ( X240
| ~ X240 )
& ( ~ mono_2Ec_2Ebool_2EF
| ~ X240 )
& ( X240
| ~ X240
| mono_2Ec_2Ebool_2EF ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
thf(c_0_10,negated_conjecture,
~ ! [X1: d,X70: mono_2Etyop_2Enum_2Enum,X71: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X71 @ X70 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X70 @ X71 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X70 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X71 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).
thf(c_0_11,plain,
! [X184: d,X185: d,X186: mono_2Etyop_2Enum_2Enum,X187: mono_2Etyop_2Enum_2Enum,X188: mono_2Etyop_2Enum_2Enum,X189: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X186 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X187 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X184 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X186 @ X187 ) ) ) ) ) ) ) )
& ( ~ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X189 @ X188 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X188 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X189 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X188 @ X189 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X189 @ X188 ) ) ) ) ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X189 @ X188 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X188 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X189 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X188 @ X189 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X185 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X189 @ X188 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])])]) ).
thf(c_0_12,plain,
! [X173: d,X174: u,X175: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ X174 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ X175 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ X174 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X173 ) @ X175 ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).
thf(c_0_13,plain,
! [X1: d,X4: u,X3: u] :
( ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X1 @ X3 ) @ ( s @ X1 @ X4 ) ) )
= ( s @ X1 @ X3 ) )
| ~ mono_2Ec_2Ebool_2ET ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
mono_2Ec_2Ebool_2ET,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,negated_conjecture,
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ esk3_0 @ esk2_0 )
& ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ esk2_0 @ esk3_0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ esk2_0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ esk3_0 ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
thf(c_0_16,plain,
! [X1: d,X20: mono_2Etyop_2Enum_2Enum,X25: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X25 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X20 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X25 @ X20 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X20 @ X25 ) ) ) ) ) ) ) ) ) )
| ~ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X20 @ X25 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X1: d,X3: u,X4: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X3 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X4 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X3 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X4 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X1: d,X4: u,X3: u] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X1 @ X3 ) @ ( s @ X1 @ X4 ) ) )
= ( s @ X1 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_19,negated_conjecture,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ esk2_0 @ esk3_0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ esk2_0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ esk1_0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ esk3_0 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X1: d,X25: mono_2Etyop_2Enum_2Enum,X20: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X20 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X25 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X20 @ X25 ) ) ) ) ) )
| ~ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X25 @ X20 ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_21,negated_conjecture,
mono_2Ec_2Earithmetic_2E_3C_3D @ esk3_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 19:26:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.69K3jERBLL/E---3.1_239831.p
% 0.21/0.33 % Version: 3.5.1-ho
% 0.21/0.33 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.33 % Starting pre_casc_8 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_5 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_6 with 300s (1) cores
% 0.21/0.33 % pre_casc_6 with pid 239847 completed with status 0
% 0.21/0.33 % Result found by pre_casc_6
% 0.21/0.33 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.33 % Starting pre_casc_8 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_5 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_6 with 300s (1) cores
% 0.21/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.21/0.33 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.21/0.33 % Search class: HGHSM-FFMM31-DSFFFFBN
% 0.21/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33 % SubtermCWHack with pid 239848 completed with status 0
% 0.21/0.33 % Result found by SubtermCWHack
% 0.21/0.33 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.33 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.33 % Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.33 % Starting pre_casc_8 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_5 with 300s (1) cores
% 0.21/0.33 % Starting pre_casc_6 with 300s (1) cores
% 0.21/0.33 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,3,,5,20000,1.0,true))
% 0.21/0.33 % SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.21/0.33 % Search class: HGHSM-FFMM31-DSFFFFBN
% 0.21/0.33 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.33 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.33 % Preprocessing time : 0.003 s
% 0.21/0.33
% 0.21/0.33 % Proof found!
% 0.21/0.33 % SZS status Theorem
% 0.21/0.33 % SZS output start CNFRefutation
% See solution above
% 0.21/0.33 % Parsed axioms : 139
% 0.21/0.33 % Removed by relevancy pruning/SinE : 99
% 0.21/0.33 % Initial clauses : 86
% 0.21/0.33 % Removed in clause preprocessing : 23
% 0.21/0.33 % Initial clauses in saturation : 63
% 0.21/0.33 % Processed clauses : 275
% 0.21/0.33 % ...of these trivial : 17
% 0.21/0.33 % ...subsumed : 162
% 0.21/0.33 % ...remaining for further processing : 96
% 0.21/0.33 % Other redundant clauses eliminated : 0
% 0.21/0.33 % Clauses deleted for lack of memory : 0
% 0.21/0.33 % Backward-subsumed : 2
% 0.21/0.33 % Backward-rewritten : 1
% 0.21/0.33 % Generated clauses : 1473
% 0.21/0.33 % ...of the previous two non-redundant : 959
% 0.21/0.33 % ...aggressively subsumed : 0
% 0.21/0.33 % Contextual simplify-reflections : 0
% 0.21/0.33 % Paramodulations : 1389
% 0.21/0.33 % Factorizations : 44
% 0.21/0.33 % NegExts : 0
% 0.21/0.33 % Equation resolutions : 3
% 0.21/0.33 % Disequality decompositions : 0
% 0.21/0.33 % Total rewrite steps : 533
% 0.21/0.33 % ...of those cached : 307
% 0.21/0.33 % Propositional unsat checks : 0
% 0.21/0.33 % Propositional check models : 0
% 0.21/0.33 % Propositional check unsatisfiable : 0
% 0.21/0.33 % Propositional clauses : 0
% 0.21/0.33 % Propositional clauses after purity: 0
% 0.21/0.33 % Propositional unsat core size : 0
% 0.21/0.33 % Propositional preprocessing time : 0.000
% 0.21/0.33 % Propositional encoding time : 0.000
% 0.21/0.33 % Propositional solver time : 0.000
% 0.21/0.33 % Success case prop preproc time : 0.000
% 0.21/0.33 % Success case prop encoding time : 0.000
% 0.21/0.33 % Success case prop solver time : 0.000
% 0.21/0.33 % Current number of processed clauses : 84
% 0.21/0.33 % Positive orientable unit clauses : 34
% 0.21/0.33 % Positive unorientable unit clauses: 0
% 0.21/0.33 % Negative unit clauses : 3
% 0.21/0.33 % Non-unit-clauses : 47
% 0.21/0.33 % Current number of unprocessed clauses: 727
% 0.21/0.33 % ...number of literals in the above : 2659
% 0.21/0.33 % Current number of archived formulas : 0
% 0.21/0.33 % Current number of archived clauses : 12
% 0.21/0.33 % Clause-clause subsumption calls (NU) : 687
% 0.21/0.33 % Rec. Clause-clause subsumption calls : 495
% 0.21/0.33 % Non-unit clause-clause subsumptions : 152
% 0.21/0.33 % Unit Clause-clause subsumption calls : 7
% 0.21/0.33 % Rewrite failures with RHS unbound : 0
% 0.21/0.33 % BW rewrite match attempts : 22
% 0.21/0.33 % BW rewrite match successes : 2
% 0.21/0.33 % Condensation attempts : 0
% 0.21/0.33 % Condensation successes : 0
% 0.21/0.33 % Termbank termtop insertions : 43557
% 0.21/0.33 % Search garbage collected termcells : 1416
% 0.21/0.33
% 0.21/0.33 % -------------------------------------------------
% 0.21/0.33 % User time : 0.035 s
% 0.21/0.33 % System time : 0.008 s
% 0.21/0.33 % Total time : 0.043 s
% 0.21/0.33 % Maximum resident set size: 4348 pages
% 0.21/0.33
% 0.21/0.33 % -------------------------------------------------
% 0.21/0.33 % User time : 0.039 s
% 0.21/0.33 % System time : 0.013 s
% 0.21/0.33 % Total time : 0.053 s
% 0.21/0.33 % Maximum resident set size: 5120 pages
% 0.21/0.33 % E exiting
%------------------------------------------------------------------------------