%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP013^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:04:02 AM UTC 2026
% Result : Theorem 0.23s 0.31s
% Output : CNFRefutation 0.23s
% 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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.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,
! [X195: d,X196: u,X197: u,X198: u,X199: u] :
( ( ~ mono_2Ec_2Ebool_2ET
| ( ( s @ X195 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X195 @ X196 ) @ ( s @ X195 @ X197 ) ) )
= ( s @ X195 @ X196 ) ) )
& ( mono_2Ec_2Ebool_2ET
| ( ( s @ X195 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X195 @ X196 ) @ ( s @ X195 @ X197 ) ) )
= ( s @ X195 @ X196 ) ) )
& ( ~ mono_2Ec_2Ebool_2EF
| ( ( s @ X195 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X195 @ X198 ) @ ( s @ X195 @ X199 ) ) )
= ( s @ X195 @ X199 ) ) )
& ( mono_2Ec_2Ebool_2EF
| ( ( s @ X195 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X195 @ X198 ) @ ( s @ X195 @ X199 ) ) )
= ( s @ X195 @ X199 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])])]) ).
thf(c_0_9,plain,
! [X208: $o] :
( ( mono_2Ec_2Ebool_2ET
| X208 )
& ( ~ X208
| X208 )
& ( ~ X208
| ~ mono_2Ec_2Ebool_2ET
| X208 )
& ( X208
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| ~ X208
| mono_2Ec_2Ebool_2ET )
& ( mono_2Ec_2Ebool_2EF
| mono_2Ec_2Ebool_2ET )
& ( ~ X208
| mono_2Ec_2Ebool_2ET )
& ( ~ mono_2Ec_2Ebool_2ET
| ~ mono_2Ec_2Ebool_2EF
| X208 )
& mono_2Ec_2Ebool_2ET
& ( X208
| ~ X208 )
& ( ~ mono_2Ec_2Ebool_2EF
| ~ X208 )
& ( X208
| ~ X208
| 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,
! [X159: d,X160: d,X161: mono_2Etyop_2Enum_2Enum,X162: mono_2Etyop_2Enum_2Enum,X163: mono_2Etyop_2Enum_2Enum,X164: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X161 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X162 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X159 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X161 @ X162 ) ) ) ) ) ) ) )
& ( ~ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X164 @ X163 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X163 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X164 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X163 @ X164 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X164 @ X163 ) ) ) ) ) ) ) ) ) ) )
& ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X164 @ X163 )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X163 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X164 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X163 @ X164 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X160 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X164 @ X163 ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])])]) ).
thf(c_0_12,plain,
! [X156: d,X157: u,X158: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ X157 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ X158 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ X157 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X156 ) @ X158 ) ) ) ) ) ),
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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:26:29 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.zVpk56UKp7/E---3.1_3099708.p
% 0.23/0.31 % Version: 3.5.1-ho
% 0.23/0.31 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting additional_ho_4 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_8 with 300s (1) cores
% 0.23/0.31 % Starting pre_casc_5 with 300s (1) cores
% 0.23/0.31 % Starting pre_casc_6 with 300s (1) cores
% 0.23/0.31 % pre_casc_8 with pid 3099722 completed with status 0
% 0.23/0.31 % Result found by pre_casc_8
% 0.23/0.31 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting additional_ho_4 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_8 with 300s (1) cores
% 0.23/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,5,,5,20000,3.0,true))
% 0.23/0.31 % SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.23/0.31 % Search class: HGHSM-FFMM31-DSFFFFBN
% 0.23/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.31 % SubtermCWHack with pid 3099726 completed with status 0
% 0.23/0.31 % Result found by SubtermCWHack
% 0.23/0.31 % Preprocessing class: HSLSSLSMSSSNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting additional_ho_4 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_8 with 300s (1) cores
% 0.23/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,5,,5,20000,3.0,true))
% 0.23/0.31 % SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.23/0.31 % Search class: HGHSM-FFMM31-DSFFFFBN
% 0.23/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.31 % Preprocessing time : 0.001 s
% 0.23/0.31
% 0.23/0.31 % Proof found!
% 0.23/0.31 % SZS status Theorem
% 0.23/0.31 % SZS output start CNFRefutation
% See solution above
% 0.23/0.31 % Parsed axioms : 139
% 0.23/0.31 % Removed by relevancy pruning/SinE : 107
% 0.23/0.31 % Initial clauses : 78
% 0.23/0.31 % Removed in clause preprocessing : 23
% 0.23/0.31 % Initial clauses in saturation : 55
% 0.23/0.31 % Processed clauses : 231
% 0.23/0.31 % ...of these trivial : 15
% 0.23/0.31 % ...subsumed : 142
% 0.23/0.31 % ...remaining for further processing : 74
% 0.23/0.31 % Other redundant clauses eliminated : 0
% 0.23/0.31 % Clauses deleted for lack of memory : 0
% 0.23/0.31 % Backward-subsumed : 0
% 0.23/0.31 % Backward-rewritten : 0
% 0.23/0.31 % Generated clauses : 1034
% 0.23/0.31 % ...of the previous two non-redundant : 641
% 0.23/0.31 % ...aggressively subsumed : 0
% 0.23/0.31 % Contextual simplify-reflections : 0
% 0.23/0.31 % Paramodulations : 968
% 0.23/0.31 % Factorizations : 34
% 0.23/0.31 % NegExts : 0
% 0.23/0.31 % Equation resolutions : 3
% 0.23/0.31 % Disequality decompositions : 0
% 0.23/0.31 % Total rewrite steps : 390
% 0.23/0.31 % ...of those cached : 217
% 0.23/0.31 % Propositional unsat checks : 0
% 0.23/0.31 % Propositional check models : 0
% 0.23/0.31 % Propositional check unsatisfiable : 0
% 0.23/0.31 % Propositional clauses : 0
% 0.23/0.31 % Propositional clauses after purity: 0
% 0.23/0.31 % Propositional unsat core size : 0
% 0.23/0.31 % Propositional preprocessing time : 0.000
% 0.23/0.31 % Propositional encoding time : 0.000
% 0.23/0.31 % Propositional solver time : 0.000
% 0.23/0.31 % Success case prop preproc time : 0.000
% 0.23/0.31 % Success case prop encoding time : 0.000
% 0.23/0.31 % Success case prop solver time : 0.000
% 0.23/0.31 % Current number of processed clauses : 65
% 0.23/0.31 % Positive orientable unit clauses : 22
% 0.23/0.31 % Positive unorientable unit clauses: 0
% 0.23/0.31 % Negative unit clauses : 3
% 0.23/0.31 % Non-unit-clauses : 40
% 0.23/0.31 % Current number of unprocessed clauses: 463
% 0.23/0.31 % ...number of literals in the above : 1624
% 0.23/0.31 % Current number of archived formulas : 0
% 0.23/0.31 % Current number of archived clauses : 9
% 0.23/0.31 % Clause-clause subsumption calls (NU) : 499
% 0.23/0.31 % Rec. Clause-clause subsumption calls : 368
% 0.23/0.31 % Non-unit clause-clause subsumptions : 131
% 0.23/0.31 % Unit Clause-clause subsumption calls : 0
% 0.23/0.31 % Rewrite failures with RHS unbound : 0
% 0.23/0.31 % BW rewrite match attempts : 8
% 0.23/0.31 % BW rewrite match successes : 0
% 0.23/0.31 % Condensation attempts : 0
% 0.23/0.31 % Condensation successes : 0
% 0.23/0.31 % Termbank termtop insertions : 33091
% 0.23/0.31 % Search garbage collected termcells : 1403
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.018 s
% 0.23/0.31 % System time : 0.004 s
% 0.23/0.31 % Total time : 0.023 s
% 0.23/0.31 % Maximum resident set size: 4092 pages
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.024 s
% 0.23/0.31 % System time : 0.009 s
% 0.23/0.31 % Total time : 0.033 s
% 0.23/0.31 % Maximum resident set size: 5120 pages
% 0.23/0.31 % E exiting
%------------------------------------------------------------------------------