%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM653^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:16:42 AM UTC 2026
% Result : Theorem 1.46s 0.48s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 83 ( 63 unt; 0 typ; 0 def)
% Number of atoms : 687 ( 144 equ; 0 cnn)
% Maximal formula atoms : 275 ( 8 avg)
% Number of connectives : 1473 ( 363 ~; 295 |; 43 &; 580 @)
% ( 0 <=>; 192 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 7 con; 0-3 aty)
% Number of variables : 190 ( 139 ^; 51 !; 0 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
is_of: $i > ( $i > $o ) > $o ).
thf(decl_24,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(decl_26,type,
in: $i > $i > $o ).
thf(decl_62,type,
imp: $o > $o > $o ).
thf(decl_63,type,
d_not: $o > $o ).
thf(decl_66,type,
l_ec: $o > $o > $o ).
thf(decl_67,type,
d_and: $o > $o > $o ).
thf(decl_68,type,
l_or: $o > $o > $o ).
thf(decl_72,type,
non: $i > ( $i > $o ) > $i > $o ).
thf(decl_73,type,
l_some: $i > ( $i > $o ) > $o ).
thf(decl_74,type,
or3: $o > $o > $o > $o ).
thf(decl_75,type,
and3: $o > $o > $o > $o ).
thf(decl_76,type,
ec3: $o > $o > $o > $o ).
thf(decl_77,type,
orec3: $o > $o > $o > $o ).
thf(decl_78,type,
e_is: $i > $i > $i > $o ).
thf(decl_124,type,
nat: $i ).
thf(decl_125,type,
n_is: $i > $i > $o ).
thf(decl_128,type,
n_some: ( $i > $o ) > $o ).
thf(decl_143,type,
n_pl: $i > $i > $i ).
thf(decl_148,type,
diffprop: $i > $i > $i > $o ).
thf(decl_149,type,
d_29_ii: $i > $i > $o ).
thf(decl_150,type,
iii: $i > $i > $o ).
thf(decl_153,type,
lessis: $i > $i > $o ).
thf(decl_191,type,
esk34_2: $i > $i > $i ).
thf(decl_192,type,
esk35_2: $i > $i > $i ).
thf(decl_203,type,
esk46_0: $i ).
thf(decl_204,type,
esk47_0: $i ).
thf(decl_205,type,
esk48_0: $i ).
thf(decl_206,type,
esk49_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_imp) ).
thf(def_l_ec,axiom,
( l_ec
= ( ^ [X79: $o,X80: $o] : ( imp @ X79 @ ( d_not @ X80 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_l_ec) ).
thf(def_d_and,axiom,
( d_and
= ( ^ [X81: $o,X82: $o] : ( d_not @ ( l_ec @ X81 @ X82 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_d_and) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X3: $i > $o,X2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ X3 )
=> ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_all_of) ).
thf(def_is_of,axiom,
( is_of
= ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_is_of) ).
thf(def_non,axiom,
( non
= ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_non) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_l_or) ).
thf(def_and3,axiom,
( and3
= ( ^ [X92: $o,X93: $o,X94: $o] : ( d_and @ X92 @ ( d_and @ X93 @ X94 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_and3) ).
thf(def_l_some,axiom,
( l_some
= ( ^ [X1: $i,X2: $i > $o] :
( d_not
@ ( all_of
@ ^ [X4: $i] : ( in @ X4 @ X1 )
@ ( non @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_l_some) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_e_is) ).
thf(def_or3,axiom,
( or3
= ( ^ [X89: $o,X90: $o,X91: $o] : ( l_or @ X89 @ ( l_or @ X90 @ X91 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_or3) ).
thf(def_ec3,axiom,
( ec3
= ( ^ [X95: $o,X96: $o,X97: $o] : ( and3 @ ( l_ec @ X95 @ X96 ) @ ( l_ec @ X96 @ X97 ) @ ( l_ec @ X97 @ X95 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_ec3) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_diffprop) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_n_is) ).
thf(def_orec3,axiom,
( orec3
= ( ^ [X98: $o,X99: $o,X100: $o] : ( d_and @ ( or3 @ X98 @ X99 @ X100 ) @ ( ec3 @ X98 @ X99 @ X100 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_orec3) ).
thf(def_iii,axiom,
( iii
= ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_iii) ).
thf(def_n_some,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X411: $i] :
( ( in @ X411 @ nat )
=> ( ( Z0 @ X411 )
=> ~ $true ) )
=> ~ $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_n_some) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_d_29_ii) ).
thf(def_lessis,axiom,
( lessis
= ( ^ [X1: $i,X230: $i] : ( l_or @ ( iii @ X1 @ X230 ) @ ( n_is @ X1 @ X230 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',def_lessis) ).
thf(satz9,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X213: $i] : ( in @ X213 @ nat )
@ ^ [X214: $i] :
( orec3 @ ( n_is @ X1 @ X214 )
@ ( n_some
@ ^ [X4: $i] : ( n_is @ X1 @ ( n_pl @ X214 @ X4 ) ) )
@ ( n_some
@ ^ [X4: $i] : ( n_is @ X214 @ ( n_pl @ X1 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',satz9) ).
thf(satz10d,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X237: $i] : ( in @ X237 @ nat )
@ ^ [X238: $i] :
( ( lessis @ X1 @ X238 )
=> ( d_not @ ( d_29_ii @ X1 @ X238 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8yBAblW86G/E---3.1_3289838.p',satz10d) ).
thf(c_0_22,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_23,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_24,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(fof_simplification,[status(thm)],[def_l_ec]) ).
thf(c_0_25,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_and]) ).
thf(c_0_27,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_23]),c_0_25]) ).
thf(c_0_28,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_all_of]) ).
thf(c_0_29,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_30,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_non]) ).
thf(c_0_31,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_32,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_and3]) ).
thf(c_0_33,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26,c_0_25]),c_0_27]) ).
thf(c_0_34,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X384: $i] :
( ( in @ X384 @ Z0 )
=> ( ( Z1 @ X384 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_l_some]) ).
thf(c_0_35,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_36,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_30,c_0_25]) ).
thf(c_0_37,plain,
( e_is
= ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
inference(fof_simplification,[status(thm)],[def_e_is]) ).
thf(c_0_38,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_or3]) ).
thf(c_0_39,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_23]),c_0_25]) ).
thf(c_0_40,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_ec3]) ).
thf(c_0_41,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_42,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X384: $i] :
( ( in @ X384 @ Z0 )
=> ( ( Z1 @ X384 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_35]),c_0_25]),c_0_36]) ).
thf(c_0_43,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_diffprop]) ).
thf(c_0_44,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_37]) ).
thf(c_0_45,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_orec3]) ).
thf(c_0_46,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_47,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_27]),c_0_41]) ).
thf(c_0_48,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X423: $i] :
( ( in @ X423 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X423 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_iii]) ).
thf(c_0_49,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X411: $i] :
( ( in @ X411 @ nat )
=> ( ( Z0 @ X411 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[def_n_some,c_0_42]) ).
thf(c_0_50,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_51,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_45,c_0_33]),c_0_46]),c_0_47]) ).
thf(c_0_52,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X422: $i] :
( ( in @ X422 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X422 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_53,plain,
( lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X427: $i] :
( ( in @ X427 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X427 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_lessis]) ).
thf(c_0_54,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X423: $i] :
( ( in @ X423 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X423 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
thf(c_0_55,plain,
! [X555: $i] :
( ( in @ X555 @ nat )
=> ! [X554: $i] :
( ( in @ X554 @ nat )
=> ( ( ( ( ( X555 = X554 )
=> ~ $true )
=> ( ( ( ! [X552: $i] :
( ( in @ X552 @ nat )
=> ( ( X555
= ( n_pl @ X554 @ X552 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( ! [X553: $i] :
( ( in @ X553 @ nat )
=> ( ( X554
= ( n_pl @ X555 @ X553 ) )
=> ~ $true ) )
=> ~ $true ) ) )
=> ( ( ( ( ( X555 = X554 )
=> ( ( ! [X552: $i] :
( ( in @ X552 @ nat )
=> ( ( X555
= ( n_pl @ X554 @ X552 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ( ( ! [X552: $i] :
( ( in @ X552 @ nat )
=> ( ( X555
= ( n_pl @ X554 @ X552 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( ! [X553: $i] :
( ( in @ X553 @ nat )
=> ( ( X554
= ( n_pl @ X555 @ X553 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ! [X553: $i] :
( ( in @ X553 @ nat )
=> ( ( X554
= ( n_pl @ X555 @ X553 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( X555 = X554 )
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz9]),c_0_35]),c_0_51]),c_0_44]),c_0_49]) ).
thf(c_0_56,negated_conjecture,
~ ( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X237: $i] : ( in @ X237 @ nat )
@ ^ [X238: $i] :
( ( lessis @ X1 @ X238 )
=> ( d_not @ ( d_29_ii @ X1 @ X238 ) ) ) ) ),
inference(assume_negation,[status(cth)],[satz10d]) ).
thf(c_0_57,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X422: $i] :
( ( in @ X422 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X422 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_49]),c_0_50]) ).
thf(c_0_58,plain,
( lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X427: $i] :
( ( in @ X427 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X427 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_53,c_0_39]),c_0_44]),c_0_54]) ).
thf(c_0_59,plain,
! [X1094: $i,X1095: $i,X1098: $i,X1099: $i,X1100: $i,X1101: $i] :
( ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| $true
| ( X1094 = X1095 )
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ( in @ ( esk34_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ( X1094
= ( n_pl @ X1095 @ ( esk34_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( in @ ( esk35_2 @ X1094 @ X1095 ) @ nat )
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ( X1095
= ( n_pl @ X1094 @ ( esk35_2 @ X1094 @ X1095 ) ) )
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ~ ( in @ X1098 @ nat )
| ( X1094
!= ( n_pl @ X1095 @ X1098 ) )
| ~ $true
| ~ $true
| ( X1094 != X1095 )
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ( X1094 != X1095 )
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ~ ( in @ X1100 @ nat )
| ( X1095
!= ( n_pl @ X1094 @ X1100 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1099 @ nat )
| ( X1094
!= ( n_pl @ X1095 @ X1099 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ~ ( in @ X1099 @ nat )
| ( X1094
!= ( n_pl @ X1095 @ X1099 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ~ ( in @ X1100 @ nat )
| ( X1095
!= ( n_pl @ X1094 @ X1100 ) )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( ~ ( in @ X1101 @ nat )
| ( X1095
!= ( n_pl @ X1094 @ X1101 ) )
| ~ $true
| ( X1094 != X1095 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ( X1094 != X1095 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) )
& ( $true
| ~ $true
| ~ ( in @ X1095 @ nat )
| ~ ( in @ X1094 @ nat ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])]) ).
thf(c_0_60,negated_conjecture,
~ ! [X599: $i] :
( ( in @ X599 @ nat )
=> ! [X598: $i] :
( ( in @ X598 @ nat )
=> ( ( ( ( ! [X596: $i] :
( ( in @ X596 @ nat )
=> ( ( X598
= ( n_pl @ X599 @ X596 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( X599 = X598 ) )
=> ( ( ! [X597: $i] :
( ( in @ X597 @ nat )
=> ( ( X599
= ( n_pl @ X598 @ X597 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_56]),c_0_35]),c_0_25]),c_0_57]),c_0_58]) ).
thf(c_0_61,plain,
! [X1: $i,X4: $i,X5: $i] :
( ~ ( in @ X1 @ nat )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ $true
| ( X5 != X4 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
thf(c_0_62,negated_conjecture,
( ( in @ esk46_0 @ nat )
& ( in @ esk47_0 @ nat )
& ( ( in @ esk48_0 @ nat )
| ~ $true
| ( esk46_0 = esk47_0 ) )
& ( ( esk47_0
= ( n_pl @ esk46_0 @ esk48_0 ) )
| ~ $true
| ( esk46_0 = esk47_0 ) )
& ( $true
| ~ $true
| ( esk46_0 = esk47_0 ) )
& ( $true
| ( esk46_0 = esk47_0 ) )
& ( ( in @ esk49_0 @ nat )
| ~ $true )
& ( ( esk46_0
= ( n_pl @ esk47_0 @ esk49_0 ) )
| ~ $true )
& ( $true
| ~ $true )
& $true ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])]) ).
thf(c_0_63,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X4 != X5 )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_61]) ).
thf(c_0_64,negated_conjecture,
( ( esk46_0
= ( n_pl @ esk47_0 @ esk49_0 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_65,negated_conjecture,
( ( in @ esk49_0 @ nat )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_66,plain,
! [X1: $i,X4: $i,X6: $i,X5: $i] :
( ~ ( in @ X1 @ nat )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ $true
| ~ $true
| ~ ( in @ X6 @ nat )
| ( X5
!= ( n_pl @ X4 @ X6 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
thf(c_0_67,negated_conjecture,
( ( esk47_0
= ( n_pl @ esk46_0 @ esk48_0 ) )
| ( esk46_0 = esk47_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_68,plain,
! [X1: $i,X4: $i] :
( ( ( n_pl @ X1 @ X4 )
!= X1 )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat ) ),
inference(er,[status(thm)],[c_0_63]) ).
thf(c_0_69,negated_conjecture,
( esk46_0
= ( n_pl @ esk47_0 @ esk49_0 ) ),
inference(cn,[status(thm)],[c_0_64]) ).
thf(c_0_70,negated_conjecture,
in @ esk46_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_71,negated_conjecture,
in @ esk47_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_72,negated_conjecture,
in @ esk49_0 @ nat,
inference(cn,[status(thm)],[c_0_65]) ).
thf(c_0_73,negated_conjecture,
( ( in @ esk48_0 @ nat )
| ( esk46_0 = esk47_0 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
thf(c_0_74,plain,
! [X6: $i,X5: $i,X4: $i,X1: $i] :
( ( X5
!= ( n_pl @ X4 @ X6 ) )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ ( in @ X6 @ nat )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_66]) ).
thf(c_0_75,negated_conjecture,
( ( esk47_0 = esk46_0 )
| ( esk47_0
= ( n_pl @ esk46_0 @ esk48_0 ) ) ),
inference(cn,[status(thm)],[c_0_67]) ).
thf(c_0_76,negated_conjecture,
esk47_0 != esk46_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]),c_0_72])]) ).
thf(c_0_77,negated_conjecture,
( ( esk47_0 = esk46_0 )
| ( in @ esk48_0 @ nat ) ),
inference(cn,[status(thm)],[c_0_73]) ).
thf(c_0_78,plain,
! [X1: $i,X4: $i,X5: $i] :
( ( ( n_pl @ ( n_pl @ X1 @ X4 ) @ X5 )
!= X1 )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X5 @ nat ) ),
inference(er,[status(thm)],[c_0_74]) ).
thf(c_0_79,negated_conjecture,
( ( n_pl @ esk46_0 @ esk48_0 )
= esk47_0 ),
inference(sr,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_80,negated_conjecture,
in @ esk48_0 @ nat,
inference(sr,[status(thm)],[c_0_77,c_0_76]) ).
thf(c_0_81,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ esk47_0 @ X1 )
!= esk46_0 )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_71]),c_0_80]),c_0_70])]) ).
thf(c_0_82,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_69]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM653^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n007.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Sep 29 12:30:10 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running higher-order theorem proving
% 0.19/0.27 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.8yBAblW86G/E---3.1_3289838.p
% 1.46/0.48 % Version: 3.5.1-ho
% 1.46/0.48 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.46/0.48 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.46/0.48 % Starting lpo1_fix with 900s (3) cores
% 1.46/0.48 % Starting full_lambda_9 with 300s (1) cores
% 1.46/0.48 % Starting almost_fo_4 with 300s (1) cores
% 1.46/0.48 % Starting new_ho_9 with 300s (1) cores
% 1.46/0.48 % Starting pre_casc_4 with 300s (1) cores
% 1.46/0.48 % Starting ho_unfolding_6 with 300s (1) cores
% 1.46/0.48 % lpo1_fix with pid 3289851 completed with status 0
% 1.46/0.48 % Result found by lpo1_fix
% 1.46/0.48 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.46/0.48 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.46/0.48 % Starting lpo1_fix with 900s (3) cores
% 1.46/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.46/0.48 % No SInE strategy applied
% 1.46/0.48 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.46/0.48 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.46/0.48 % Starting SubtermCWHack with 91s (1) cores
% 1.46/0.48 % Starting full_lambda_5 with 82s (1) cores
% 1.46/0.48 % Starting new_ho_6 with 82s (1) cores
% 1.46/0.48 % full_lambda_5 with pid 3289863 completed with status 0
% 1.46/0.48 % Result found by full_lambda_5
% 1.46/0.48 % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.46/0.48 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.46/0.48 % Starting lpo1_fix with 900s (3) cores
% 1.46/0.48 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.46/0.48 % No SInE strategy applied
% 1.46/0.48 % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.46/0.48 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.46/0.48 % Starting SubtermCWHack with 91s (1) cores
% 1.46/0.48 % Starting full_lambda_5 with 82s (1) cores
% 1.46/0.48 % Preprocessing time : 0.015 s
% 1.46/0.48 % Presaturation interreduction done
% 1.46/0.48
% 1.46/0.48 % Proof found!
% 1.46/0.48 % SZS status Theorem
% 1.46/0.48 % SZS output start CNFRefutation
% See solution above
% 1.46/0.48 % Parsed axioms : 352
% 1.46/0.48 % Removed by relevancy pruning/SinE : 0
% 1.46/0.48 % Initial clauses : 660
% 1.46/0.48 % Removed in clause preprocessing : 333
% 1.46/0.48 % Initial clauses in saturation : 327
% 1.46/0.48 % Processed clauses : 596
% 1.46/0.48 % ...of these trivial : 4
% 1.46/0.48 % ...subsumed : 45
% 1.46/0.48 % ...remaining for further processing : 547
% 1.46/0.48 % Other redundant clauses eliminated : 84
% 1.46/0.48 % Clauses deleted for lack of memory : 0
% 1.46/0.48 % Backward-subsumed : 2
% 1.46/0.48 % Backward-rewritten : 7
% 1.46/0.48 % Generated clauses : 801
% 1.46/0.48 % ...of the previous two non-redundant : 725
% 1.46/0.48 % ...aggressively subsumed : 0
% 1.46/0.48 % Contextual simplify-reflections : 5
% 1.46/0.48 % Paramodulations : 629
% 1.46/0.48 % Factorizations : 0
% 1.46/0.48 % NegExts : 8
% 1.46/0.48 % Equation resolutions : 87
% 1.46/0.48 % Disequality decompositions : 0
% 1.46/0.48 % Total rewrite steps : 178
% 1.46/0.48 % ...of those cached : 107
% 1.46/0.48 % Propositional unsat checks : 0
% 1.46/0.48 % Propositional check models : 0
% 1.46/0.48 % Propositional check unsatisfiable : 0
% 1.46/0.48 % Propositional clauses : 0
% 1.46/0.48 % Propositional clauses after purity: 0
% 1.46/0.48 % Propositional unsat core size : 0
% 1.46/0.48 % Propositional preprocessing time : 0.000
% 1.46/0.48 % Propositional encoding time : 0.000
% 1.46/0.48 % Propositional solver time : 0.000
% 1.46/0.48 % Success case prop preproc time : 0.000
% 1.46/0.48 % Success case prop encoding time : 0.000
% 1.46/0.48 % Success case prop solver time : 0.000
% 1.46/0.48 % Current number of processed clauses : 201
% 1.46/0.48 % Positive orientable unit clauses : 84
% 1.46/0.48 % Positive unorientable unit clauses: 3
% 1.46/0.48 % Negative unit clauses : 15
% 1.46/0.48 % Non-unit-clauses : 99
% 1.46/0.48 % Current number of unprocessed clauses: 747
% 1.46/0.48 % ...number of literals in the above : 1892
% 1.46/0.48 % Current number of archived formulas : 0
% 1.46/0.48 % Current number of archived clauses : 306
% 1.46/0.48 % Clause-clause subsumption calls (NU) : 18153
% 1.46/0.48 % Rec. Clause-clause subsumption calls : 4987
% 1.46/0.48 % Non-unit clause-clause subsumptions : 43
% 1.46/0.48 % Unit Clause-clause subsumption calls : 1693
% 1.46/0.48 % Rewrite failures with RHS unbound : 0
% 1.46/0.48 % BW rewrite match attempts : 90
% 1.46/0.48 % BW rewrite match successes : 21
% 1.46/0.48 % Condensation attempts : 0
% 1.46/0.48 % Condensation successes : 0
% 1.46/0.48 % Termbank termtop insertions : 82007
% 1.46/0.48 % Search garbage collected termcells : 21352
% 1.46/0.48
% 1.46/0.48 % -------------------------------------------------
% 1.46/0.48 % User time : 0.145 s
% 1.46/0.48 % System time : 0.016 s
% 1.46/0.48 % Total time : 0.161 s
% 1.46/0.48 % Maximum resident set size: 7464 pages
% 1.46/0.48
% 1.46/0.48 % -------------------------------------------------
% 1.46/0.48 % User time : 0.258 s
% 1.46/0.48 % System time : 0.044 s
% 1.46/0.48 % Total time : 0.303 s
% 1.46/0.48 % Maximum resident set size: 5376 pages
% 1.46/0.48 % E exiting
%------------------------------------------------------------------------------