%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP012^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:07:44 AM UTC 2026
% Result : Theorem 2.92s 0.92s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 142 ( 83 unt; 0 typ; 4 def)
% Number of atoms : 879 ( 188 equ; 0 cnn)
% Maximal formula atoms : 10 ( 6 avg)
% Number of connectives : 2176 ( 73 ~; 60 |; 14 &;1926 @)
% ( 13 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 43 usr; 17 con; 0-4 aty)
% ( 55 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 178 ( 0 sgn 107 !; 0 ?; 178 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
del: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
tp__ty_2Einteger_2Eint: $tType ).
thf(func_def_0,type,
bool: del ).
thf(func_def_1,type,
ind: del ).
thf(func_def_2,type,
arr: del > del > del ).
thf(func_def_3,type,
mem: $i > del > $o ).
thf(func_def_4,type,
ap: $i > $i > $i ).
thf(func_def_5,type,
lam: del > ( $i > $i ) > $i ).
thf(func_def_6,type,
p: $i > $o ).
thf(func_def_7,type,
inj__o: $o > $i ).
thf(func_def_10,type,
c_2Ebool_2E_3F: del > $i ).
thf(func_def_11,type,
ty_2Einteger_2Eint: del ).
thf(func_def_12,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
thf(func_def_13,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
thf(func_def_15,type,
fo__c_2Einteger_2Eint__sub: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_17,type,
fo__c_2Einteger_2Eint__add: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_19,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
thf(func_def_26,type,
c_2Emin_2E_3D: del > $i ).
thf(func_def_27,type,
c_2Ebool_2E_21: del > $i ).
thf(func_def_30,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_31,type,
vIMP: $o > $o > $o ).
thf(func_def_32,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vIFF: $o > $o > $o ).
thf(func_def_35,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_36,type,
vAND: $o > $o > $o ).
thf(func_def_37,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_39,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_40,type,
vNOT: $o > $o ).
thf(func_def_41,type,
vOR: $o > $o > $o ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
sK0: tp__ty_2Einteger_2Eint ).
thf(func_def_45,type,
sK1: tp__ty_2Einteger_2Eint ).
thf(func_def_46,type,
sK2: tp__ty_2Einteger_2Eint ).
thf(f12,axiom,
! [X0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_surj_ty_2Einteger_2Eint) ).
thf(f16,axiom,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
thf(f18,axiom,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__add) ).
thf(f20,axiom,
! [X0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
thf(f48,axiom,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
thf(f49,axiom,
! [X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(f50,axiom,
! [X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(f61,conjecture,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(f62,negated_conjecture,
~ ! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
thf(f73,plain,
~ ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ) ),
inference(rectify,[],[f62]) ).
thf(f74,plain,
( ( ~ ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f73]) ).
thf(f75,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 ) )
= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f96,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f97,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f98,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f97]) ).
thf(f143,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f20]) ).
thf(f144,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
<=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) ) ),
inference(rectify,[],[f49]) ).
thf(f145,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f144]) ).
thf(f164,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) ),
inference(rectify,[],[f48]) ).
thf(f165,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f164]) ).
thf(f174,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X0 ) ) ),
inference(rectify,[],[f18]) ).
thf(f175,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f174]) ).
thf(f181,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f98]) ).
thf(f198,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f175]) ).
thf(f199,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 ) )
= $true ),
inference(cnf_transformation,[],[f75]) ).
thf(f205,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f165]) ).
thf(f207,plain,
( ( ~ ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f74]) ).
thf(f227,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f96]) ).
thf(f231,plain,
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f143]) ).
thf(f234,plain,
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f145]) ).
thf(f308,plain,
( $false
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f207]) ).
thf(f309,plain,
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f308]) ).
thf(f312,plain,
( $false
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f309]) ).
thf(f313,plain,
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f312]) ).
thf(f314,plain,
( $false
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f313]) ).
thf(f315,plain,
( $false
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f314]) ).
thf(f316,plain,
( $false
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f315]) ).
thf(f317,plain,
( $false
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f318,plain,
( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f319,plain,
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
!= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f317]) ).
thf(f324,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $true )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $true ) ),
inference(xor_proxy_clausification,[],[f319]) ).
thf(f325,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $false ) ),
inference(xor_proxy_clausification,[],[f319]) ).
thf(f327,definition,
( spl3_1
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f329,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $false )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f327]) ).
thf(f331,definition,
( spl3_2
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f332,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
!= $false )
| spl3_2 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f333,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $false )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f334,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f325,f331,f327]) ).
thf(f336,definition,
( spl3_3
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
thf(f338,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $true )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f340,definition,
( spl3_4
<=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
thf(f342,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) )
= $true )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f343,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f324,f340,f336]) ).
thf(f344,plain,
( ( $false = $true )
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f338,f333]) ).
thf(f345,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f344]) ).
thf(f346,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f345]) ).
thf(f368,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f199]) ).
thf(f369,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= X1 )
= $true ),
inference(beta-eta_normalization,[],[f368]) ).
thf(f370,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= X1 ),
inference(equality_proxy_clausification,[],[f369]) ).
thf(f386,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ Y0 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f231]) ).
thf(f387,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) )
= ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f386]) ).
thf(f388,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f387]) ).
thf(f496,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f198]) ).
thf(f497,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f496]) ).
thf(f510,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f497]) ).
thf(f511,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f510]) ).
thf(f512,plain,
( ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
=> ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) )
= $false )
| ~ spl3_4 ),
inference(superposition,[],[f316,f342]) ).
thf(f515,plain,
( ( $false
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) )
=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) )
| ~ spl3_4 ),
inference(boolean_simplification,[],[f512]) ).
thf(f518,plain,
( ( $false
= ( $true
=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ) )
| ~ spl3_4 ),
inference(forward_demodulation,[],[f515,f318]) ).
thf(f519,plain,
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ sK2 ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $false )
| ~ spl3_4 ),
inference(boolean_simplification,[],[f518]) ).
thf(f520,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ X2 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f511]) ).
thf(f541,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y1 @ Y0 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f227]) ).
thf(f542,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f541]) ).
thf(f549,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ Y0 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f542]) ).
thf(f550,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) )
= ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f549]) ).
thf(f554,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X1 ) )
= ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f550]) ).
thf(f569,plain,
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) )
| ~ spl3_2 ),
inference(superposition,[],[f333,f554]) ).
thf(f665,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f205]) ).
thf(f666,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f665]) ).
thf(f675,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f666]) ).
thf(f676,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f675]) ).
thf(f677,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= $true ),
inference(forward_demodulation,[],[f676,f388]) ).
thf(f678,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X1 @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= $true ),
inference(forward_demodulation,[],[f677,f520]) ).
thf(f679,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( fo__c_2Einteger_2Eint__add @ X1 @ ( fo__c_2Einteger_2Eint__neg @ X2 ) )
= ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__sub @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ),
inference(forward_demodulation,[],[f678,f370]) ).
thf(f680,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( fo__c_2Einteger_2Eint__add @ X1 @ ( fo__c_2Einteger_2Eint__neg @ X2 ) )
= ( surj__ty_2Einteger_2Eint @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ X1 @ X2 ) ) ) ) ),
inference(forward_demodulation,[],[f679,f554]) ).
thf(f681,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( fo__c_2Einteger_2Eint__add @ X1 @ ( fo__c_2Einteger_2Eint__neg @ X2 ) )
= ( fo__c_2Einteger_2Eint__sub @ X1 @ X2 ) ) ),
inference(forward_demodulation,[],[f680,f370]) ).
thf(f685,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( fo__c_2Einteger_2Eint__sub @ X1 @ X2 )
= ( fo__c_2Einteger_2Eint__add @ X1 @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f681]) ).
thf(f1445,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y2: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f234]) ).
thf(f1446,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1445]) ).
thf(f1483,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1446]) ).
thf(f1484,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1483]) ).
thf(f1497,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f1484]) ).
thf(f1498,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ ( ap @ c_2Einteger_2Eint__add @ ( inj__ty_2Einteger_2Eint @ X2 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1497]) ).
thf(f1499,plain,
! [X2: tp__ty_2Einteger_2Eint,X3: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X3 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ X2 @ X3 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f1498,f520]) ).
thf(f1529,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ sK2 @ X0 ) ) ) )
= $true ) )
= $true )
| ~ spl3_4 ),
inference(superposition,[],[f1499,f342]) ).
thf(f1535,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ sK2 @ X0 ) ) ) ) )
= $true )
| ~ spl3_4 ),
inference(boolean_simplification,[],[f1529]) ).
thf(f1615,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X0 ) ) ) )
=> ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ X0 ) ) ) ) )
= $true )
| ~ spl3_4 ),
inference(superposition,[],[f1535,f685]) ).
thf(f1637,plain,
( ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) )
=> $false )
= $true )
| ~ spl3_2
| ~ spl3_4 ),
inference(superposition,[],[f1615,f569]) ).
thf(f1638,plain,
( ( ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) ) )
= $true )
| ~ spl3_2
| ~ spl3_4 ),
inference(boolean_simplification,[],[f1637]) ).
thf(f1662,plain,
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) ) )
| ~ spl3_2
| ~ spl3_4 ),
inference(not_proxy_clausification,[],[f1638]) ).
thf(f1671,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y1 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f181]) ).
thf(f1672,plain,
! [X1: tp__ty_2Einteger_2Eint] :
( $true
= ( !! @ tp__ty_2Einteger_2Eint
@ ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1671]) ).
thf(f1692,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ^ [Y0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ Y0 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f1672]) ).
thf(f1693,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1692]) ).
thf(f1694,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f1693,f388]) ).
thf(f1695,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( $true
= ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
& ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X1 ) ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ) ) ),
inference(forward_demodulation,[],[f1694,f388]) ).
thf(f1717,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f1695]) ).
thf(f1718,plain,
( ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) )
= $true )
& ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) )
= $true ),
inference(superposition,[],[f1695,f318]) ).
thf(f1731,plain,
! [X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X2 ) ) ) )
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ X1 ) ) @ ( inj__ty_2Einteger_2Eint @ X2 ) ) ) ),
inference(iff_proxy_clausification,[],[f1717]) ).
thf(f1732,plain,
( ( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) )
= $true )
& ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f1718]) ).
thf(f1733,plain,
( $true
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK1 ) ) ) )
& ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) ) ),
inference(boolean_simplification,[],[f1732]) ).
thf(f1746,plain,
( ( ( $false
& ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ sK0 ) ) ) @ ( inj__ty_2Einteger_2Eint @ sK1 ) ) ) )
= $true )
| ~ spl3_2
| ~ spl3_4 ),
inference(forward_demodulation,[],[f1733,f1662]) ).
thf(f1747,plain,
( ( $false = $true )
| ~ spl3_2
| ~ spl3_4 ),
inference(boolean_simplification,[],[f1746]) ).
thf(f1748,plain,
( $false
| ~ spl3_2
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f1747]) ).
thf(f1749,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
thf(f1770,plain,
( ( $false
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) )
| ~ spl3_4 ),
inference(forward_demodulation,[],[f519,f554]) ).
thf(f1772,plain,
( ( $false
!= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) )
| spl3_2 ),
inference(forward_demodulation,[],[f332,f554]) ).
thf(f1777,plain,
( $false
| spl3_2
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f1772,f1770]) ).
thf(f1778,plain,
( spl3_2
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
thf(f1785,plain,
( ( $true
= ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) )
| ~ spl3_3 ),
inference(forward_demodulation,[],[f338,f554]) ).
thf(f1793,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ sK2 @ X0 ) ) ) )
= $false ) )
= $true )
| ~ spl3_1 ),
inference(superposition,[],[f1499,f329]) ).
thf(f1797,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__add @ sK2 @ X0 ) ) ) ) )
= $true )
| ~ spl3_1 ),
inference(boolean_simplification,[],[f1793]) ).
thf(f1925,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__neg @ X0 ) ) ) )
=> ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ X0 ) ) ) ) )
= $true )
| ~ spl3_1 ),
inference(superposition,[],[f1797,f685]) ).
thf(f1940,plain,
( ! [X0: tp__ty_2Einteger_2Eint] :
( $true
= ( ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ X0 ) ) )
=> ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ X0 ) ) ) ) ) )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f1925,f1731]) ).
thf(f1955,plain,
( ( ( $true
=> ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) )
= $true )
| ~ spl3_1 ),
inference(superposition,[],[f1940,f318]) ).
thf(f1960,plain,
( ( $true
= ( ~ ( p @ ( ap @ ( ap @ c_2Einteger_2Eint__divides @ ( inj__ty_2Einteger_2Eint @ sK0 ) ) @ ( inj__ty_2Einteger_2Eint @ ( fo__c_2Einteger_2Eint__sub @ sK2 @ sK1 ) ) ) ) ) )
| ~ spl3_1 ),
inference(boolean_simplification,[],[f1955]) ).
thf(f1965,plain,
( ( $true = ( ~ $true ) )
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_demodulation,[],[f1960,f1785]) ).
thf(f1966,plain,
( ( $false = $true )
| ~ spl3_1
| ~ spl3_3 ),
inference(boolean_simplification,[],[f1965]) ).
thf(f1967,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(trivial_inequality_removal,[],[f1966]) ).
thf(f1968,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f1967]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f334]) ).
cnf(s2,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f343]) ).
cnf(s3,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f346]) ).
cnf(s11,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s12,plain,
( spl3_2
| ~ spl3_4 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s13,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s15,plain,
~ spl3_2,
inference(rat,[],[s2,s3,s11]) ).
cnf(s16,plain,
~ spl3_4,
inference(rat,[],[s12,s15]) ).
cnf(s17,plain,
spl3_1,
inference(rat,[],[s1,s15]) ).
cnf(s18,plain,
spl3_3,
inference(rat,[],[s2,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s13,s18,s17]) ).
thf(f1973,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:27:54 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.47 % (3615891)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.47 % (3615896)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1236139654:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.47 % (3615897)lrs+10_16_si=on:nwc=1.5:random_seed=55965172:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.47 % (3615899)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1732589909:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.50/0.47 % (3615897)Instruction limit reached!
% 0.50/0.47 % (3615897)------------------------------
% 0.50/0.47 % (3615897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3615897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3615897)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3615897)Termination reason: Instruction limit
% 0.50/0.47 % (3615897)Termination phase: Property scanning
% 0.50/0.47 % (3615897)Time elapsed: 0.009 s
% 0.50/0.47 % (3615897)Peak memory usage: 10 MB
% 0.50/0.47 % (3615897)Instructions burned: 20 (million)
% 0.50/0.47 % (3615906)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=961938265:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.47 % (3615906)Instruction limit reached!
% 0.50/0.47 % (3615906)------------------------------
% 0.50/0.47 % (3615906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3615906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3615906)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3615906)Termination reason: Instruction limit
% 0.50/0.47 % (3615906)Termination phase: shuffling
% 0.50/0.47 % (3615906)Time elapsed: 0.001 s
% 0.50/0.47 % (3615906)Peak memory usage: 9 MB
% 0.50/0.47 % (3615906)Instructions burned: 3 (million)
% 0.50/0.47 % (3615902)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.47 % (3615902)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.47 % (3615896)Instruction limit reached!
% 0.50/0.47 % (3615896)------------------------------
% 0.50/0.47 % (3615896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3615896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3615896)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3615896)Termination reason: Instruction limit
% 0.50/0.47 % (3615896)Termination phase: Saturation
% 0.50/0.47 % (3615896)Time elapsed: 0.042 s
% 0.50/0.47 % (3615896)Peak memory usage: 12 MB
% 0.50/0.47 % (3615896)Instructions burned: 88 (million)
% 0.50/0.47 % (3615902)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1303504485:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.47 % (3615901)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1701090907:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.47 % (3615898)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1438178029:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.47 % (3615900)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3616739636:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.47 % (3615898)Instruction limit reached!
% 0.50/0.47 % (3615898)------------------------------
% 0.50/0.47 % (3615898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3615898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3615898)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3615898)Termination reason: Instruction limit
% 0.50/0.47 % (3615898)Termination phase: shuffling
% 0.50/0.47 % (3615898)Time elapsed: 0.003 s
% 0.50/0.47 % (3615898)Peak memory usage: 10 MB
% 0.50/0.47 % (3615898)Instructions burned: 3 (million)
% 0.50/0.47 % (3615909)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.52 % (3615909)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1737700315:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.17/0.52 % (3615909)Instruction limit reached!
% 1.17/0.52 % (3615909)------------------------------
% 1.17/0.52 % (3615909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3615909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3615909)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3615909)Termination reason: Instruction limit
% 1.17/0.52 % (3615909)Termination phase: Property scanning
% 1.17/0.52 % (3615909)Time elapsed: 0.004 s
% 1.17/0.52 % (3615909)Peak memory usage: 9 MB
% 1.17/0.52 % (3615909)Instructions burned: 8 (million)
% 1.17/0.52 % (3615908)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2380664693:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.17/0.52 % (3615900)Instruction limit reached!
% 1.17/0.52 % (3615900)------------------------------
% 1.17/0.52 % (3615900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3615900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3615900)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3615900)Termination reason: Instruction limit
% 1.17/0.52 % (3615900)Termination phase: Property scanning
% 1.17/0.52 % (3615900)Time elapsed: 0.020 s
% 1.17/0.52 % (3615900)Peak memory usage: 11 MB
% 1.17/0.52 % (3615900)Instructions burned: 24 (million)
% 1.17/0.52 % (3615914)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3064848852:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.17/0.52 % (3615908)Instruction limit reached!
% 1.17/0.52 % (3615908)------------------------------
% 1.17/0.52 % (3615908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3615908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3615908)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3615908)Termination reason: Instruction limit
% 1.17/0.52 % (3615908)Termination phase: Property scanning
% 1.17/0.52 % (3615908)Time elapsed: 0.005 s
% 1.17/0.52 % (3615908)Peak memory usage: 9 MB
% 1.17/0.52 % (3615908)Instructions burned: 6 (million)
% 1.17/0.52 % (3615916)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.17/0.52 % (3615916)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.52 % (3615916)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4053922158:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.17/0.52 % (3615914)Instruction limit reached!
% 1.17/0.52 % (3615914)------------------------------
% 1.17/0.52 % (3615914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3615914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3615914)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3615914)Termination reason: Instruction limit
% 1.17/0.52 % (3615914)Termination phase: Preprocessing 3
% 1.17/0.52 % (3615914)Time elapsed: 0.011 s
% 1.17/0.52 % (3615914)Peak memory usage: 10 MB
% 1.17/0.52 % (3615914)Instructions burned: 13 (million)
% 1.17/0.52 % (3615920)lrs+10_1_si=on:cs=on:random_seed=3001750148:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.17/0.52 % (3615916)Instruction limit reached!
% 1.17/0.52 % (3615916)------------------------------
% 1.17/0.52 % (3615916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3615916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3615916)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3615916)Termination reason: Instruction limit
% 1.17/0.52 % (3615916)Termination phase: Property scanning
% 1.17/0.52 % (3615916)Time elapsed: 0.012 s
% 1.17/0.52 % (3615916)Peak memory usage: 10 MB
% 1.17/0.52 % (3615916)Instructions burned: 29 (million)
% 1.17/0.52 % (3615918)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2094138188:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.17/0.58 % (3615920)Instruction limit reached!
% 1.17/0.58 % (3615920)------------------------------
% 1.17/0.58 % (3615920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615920)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3615920)Termination reason: Instruction limit
% 1.17/0.58 % (3615920)Termination phase: Preprocessing 3
% 1.17/0.58 % (3615920)Time elapsed: 0.005 s
% 1.17/0.58 % (3615920)Peak memory usage: 10 MB
% 1.17/0.58 % (3615920)Instructions burned: 10 (million)
% 1.17/0.58 % (3615922)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.17/0.58 % (3615924)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2390831379:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.17/0.58 % (3615901)Instruction limit reached!
% 1.17/0.58 % (3615901)------------------------------
% 1.17/0.58 % (3615901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615901)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3615901)Termination reason: Instruction limit
% 1.17/0.58 % (3615901)Termination phase: Saturation
% 1.17/0.58 % (3615901)Time elapsed: 0.066 s
% 1.17/0.58 % (3615901)Peak memory usage: 12 MB
% 1.17/0.58 % (3615901)Instructions burned: 75 (million)
% 1.17/0.58 % (3615926)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3437998332:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.17/0.58 % (3615922)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4102769467:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.17/0.58 % (3615922)Instruction limit reached!
% 1.17/0.58 % (3615922)------------------------------
% 1.17/0.58 % (3615922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615922)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3615922)Termination reason: Instruction limit
% 1.17/0.58 % (3615922)Termination phase: shuffling
% 1.17/0.58 % (3615922)Time elapsed: 0.002 s
% 1.17/0.58 % (3615922)Peak memory usage: 9 MB
% 1.17/0.58 % (3615922)Instructions burned: 2 (million)
% 1.17/0.58 % (3615924)Instruction limit reached!
% 1.17/0.58 % (3615924)------------------------------
% 1.17/0.58 % (3615924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615924)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3615924)Termination reason: Instruction limit
% 1.17/0.58 % (3615924)Termination phase: Saturation
% 1.17/0.58 % (3615924)Time elapsed: 0.025 s
% 1.17/0.58 % (3615924)Peak memory usage: 12 MB
% 1.17/0.58 % (3615924)Instructions burned: 38 (million)
% 1.17/0.58 % (3615928)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3960860194:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.17/0.58 % (3615926)Refutation not found, incomplete strategy
% 1.17/0.58 % (3615926)------------------------------
% 1.17/0.58 % (3615926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615926)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3615926)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.58 % (3615926)Time elapsed: 0.030 s
% 1.17/0.58 % (3615926)Peak memory usage: 12 MB
% 1.17/0.58 % (3615926)Instructions burned: 32 (million)
% 1.17/0.58 % (3615926)------------------------------
% 1.17/0.58 % (3615926)------------------------------
% 1.17/0.58 % (3615931)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=783347978:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.17/0.58 % (3615928)Instruction limit reached!
% 1.17/0.58 % (3615928)------------------------------
% 1.17/0.58 % (3615928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3615928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3615928)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615928)Termination reason: Instruction limit
% 1.73/0.65 % (3615928)Termination phase: Saturation
% 1.73/0.65 % (3615928)Time elapsed: 0.016 s
% 1.73/0.65 % (3615928)Peak memory usage: 11 MB
% 1.73/0.65 % (3615928)Instructions burned: 26 (million)
% 1.73/0.65 % (3615931)Instruction limit reached!
% 1.73/0.65 % (3615931)------------------------------
% 1.73/0.65 % (3615931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615931)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615931)Termination reason: Instruction limit
% 1.73/0.65 % (3615931)Termination phase: Property scanning
% 1.73/0.65 % (3615931)Time elapsed: 0.015 s
% 1.73/0.65 % (3615931)Peak memory usage: 10 MB
% 1.73/0.65 % (3615931)Instructions burned: 15 (million)
% 1.73/0.65 % (3615934)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1373038313:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.73/0.65 % (3615918)Instruction limit reached!
% 1.73/0.65 % (3615918)------------------------------
% 1.73/0.65 % (3615918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615918)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615918)Termination reason: Instruction limit
% 1.73/0.65 % (3615918)Termination phase: Saturation
% 1.73/0.65 % (3615918)Time elapsed: 0.079 s
% 1.73/0.65 % (3615918)Peak memory usage: 13 MB
% 1.73/0.65 % (3615918)Instructions burned: 87 (million)
% 1.73/0.65 % (3615932)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=703231524:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.73/0.65 % (3615934)Instruction limit reached!
% 1.73/0.65 % (3615934)------------------------------
% 1.73/0.65 % (3615934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615934)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615934)Termination reason: Instruction limit
% 1.73/0.65 % (3615934)Termination phase: Property scanning
% 1.73/0.65 % (3615934)Time elapsed: 0.010 s
% 1.73/0.65 % (3615934)Peak memory usage: 10 MB
% 1.73/0.65 % (3615934)Instructions burned: 14 (million)
% 1.73/0.65 % (3615902)Instruction limit reached!
% 1.73/0.65 % (3615902)------------------------------
% 1.73/0.65 % (3615902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615902)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615902)Termination reason: Instruction limit
% 1.73/0.65 % (3615902)Termination phase: Saturation
% 1.73/0.65 % (3615902)Time elapsed: 0.140 s
% 1.73/0.65 % (3615902)Peak memory usage: 13 MB
% 1.73/0.65 % (3615902)Instructions burned: 157 (million)
% 1.73/0.65 % (3615940)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1740109728:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.73/0.65 % (3615936)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2499911859:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.73/0.65 % (3615936)Instruction limit reached!
% 1.73/0.65 % (3615936)------------------------------
% 1.73/0.65 % (3615936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615936)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615936)Termination reason: Instruction limit
% 1.73/0.65 % (3615936)Termination phase: SInE selection
% 1.73/0.65 % (3615936)Time elapsed: 0.003 s
% 1.73/0.65 % (3615936)Peak memory usage: 10 MB
% 1.73/0.65 % (3615936)Instructions burned: 7 (million)
% 1.73/0.65 % (3615937)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2515718485:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.73/0.65 % (3615940)Instruction limit reached!
% 1.73/0.65 % (3615940)------------------------------
% 1.73/0.65 % (3615940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.65 % (3615940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.65 % (3615940)CaDiCaL version: 2.1.3
% 1.73/0.65 % (3615940)Termination reason: Instruction limit
% 2.00/0.75 % (3615940)Termination phase: Property scanning
% 2.00/0.75 % (3615940)Time elapsed: 0.010 s
% 2.00/0.75 % (3615940)Peak memory usage: 10 MB
% 2.00/0.75 % (3615940)Instructions burned: 23 (million)
% 2.00/0.75 % (3615946)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.00/0.75 % (3615946)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=692746966:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.00/0.75 % (3615942)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.00/0.75 % (3615942)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.00/0.75 % (3615946)Instruction limit reached!
% 2.00/0.75 % (3615946)------------------------------
% 2.00/0.75 % (3615946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.75 % (3615946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.75 % (3615946)CaDiCaL version: 2.1.3
% 2.00/0.75 % (3615946)Termination reason: Instruction limit
% 2.00/0.75 % (3615946)Termination phase: SInE selection
% 2.00/0.75 % (3615946)Time elapsed: 0.004 s
% 2.00/0.75 % (3615946)Peak memory usage: 10 MB
% 2.00/0.75 % (3615946)Instructions burned: 8 (million)
% 2.00/0.75 % (3615937)Instruction limit reached!
% 2.00/0.75 % (3615937)------------------------------
% 2.00/0.75 % (3615937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.75 % (3615937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.75 % (3615937)CaDiCaL version: 2.1.3
% 2.00/0.75 % (3615937)Termination reason: Instruction limit
% 2.00/0.75 % (3615937)Termination phase: Saturation
% 2.00/0.75 % (3615937)Time elapsed: 0.024 s
% 2.00/0.75 % (3615937)Peak memory usage: 11 MB
% 2.00/0.75 % (3615937)Instructions burned: 27 (million)
% 2.00/0.75 % (3615941)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3294052417:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.00/0.75 % (3615942)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3578845599:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.00/0.75 % (3615947)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3743252582:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.00/0.75 % (3615949)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3154820707:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.00/0.75 % (3615949)Instruction limit reached!
% 2.00/0.75 % (3615949)------------------------------
% 2.00/0.75 % (3615949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.75 % (3615949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.75 % (3615949)CaDiCaL version: 2.1.3
% 2.00/0.75 % (3615949)Termination reason: Instruction limit
% 2.00/0.75 % (3615949)Termination phase: Preprocessing 1
% 2.00/0.75 % (3615949)Time elapsed: 0.003 s
% 2.00/0.75 % (3615949)Peak memory usage: 10 MB
% 2.00/0.75 % (3615949)Instructions burned: 8 (million)
% 2.00/0.75 % (3615942)Instruction limit reached!
% 2.00/0.75 % (3615942)------------------------------
% 2.00/0.75 % (3615942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.75 % (3615942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.75 % (3615942)CaDiCaL version: 2.1.3
% 2.00/0.75 % (3615942)Termination reason: Instruction limit
% 2.00/0.75 % (3615942)Termination phase: Property scanning
% 2.00/0.75 % (3615942)Time elapsed: 0.020 s
% 2.00/0.75 % (3615942)Peak memory usage: 10 MB
% 2.00/0.75 % (3615942)Instructions burned: 15 (million)
% 2.00/0.75 % (3615950)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=478621779:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.00/0.75 % (3615947)Instruction limit reached!
% 2.00/0.75 % (3615947)------------------------------
% 2.00/0.75 % (3615947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615947)CaDiCaL version: 2.1.3
% 2.72/0.83 % (3615947)Termination reason: Instruction limit
% 2.72/0.83 % (3615947)Termination phase: Saturation
% 2.72/0.83 % (3615947)Time elapsed: 0.025 s
% 2.72/0.83 % (3615947)Peak memory usage: 11 MB
% 2.72/0.83 % (3615947)Instructions burned: 31 (million)
% 2.72/0.83 % (3615899)Instruction limit reached!
% 2.72/0.83 % (3615899)------------------------------
% 2.72/0.83 % (3615899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615899)CaDiCaL version: 2.1.3
% 2.72/0.83 % (3615899)Termination reason: Instruction limit
% 2.72/0.83 % (3615899)Termination phase: Saturation
% 2.72/0.83 % (3615899)Time elapsed: 0.284 s
% 2.72/0.83 % (3615899)Peak memory usage: 15 MB
% 2.72/0.83 % (3615899)Instructions burned: 636 (million)
% 2.72/0.83 % (3615956)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=537109927:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.72/0.83 % (3615955)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3802125932:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.72/0.83 % (3615950)Instruction limit reached!
% 2.72/0.83 % (3615950)------------------------------
% 2.72/0.83 % (3615950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615950)CaDiCaL version: 2.1.3
% 2.72/0.83 % (3615950)Termination reason: Instruction limit
% 2.72/0.83 % (3615950)Termination phase: Saturation
% 2.72/0.83 % (3615950)Time elapsed: 0.024 s
% 2.72/0.83 % (3615950)Peak memory usage: 11 MB
% 2.72/0.83 % (3615950)Instructions burned: 23 (million)
% 2.72/0.83 % (3615955)Instruction limit reached!
% 2.72/0.83 % (3615955)------------------------------
% 2.72/0.83 % (3615955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615955)CaDiCaL version: 2.1.3
% 2.72/0.83 % (3615955)Termination reason: Instruction limit
% 2.72/0.83 % (3615955)Termination phase: Property scanning
% 2.72/0.83 % (3615955)Time elapsed: 0.017 s
% 2.72/0.83 % (3615955)Peak memory usage: 10 MB
% 2.72/0.83 % (3615955)Instructions burned: 20 (million)
% 2.72/0.83 % (3615941)Instruction limit reached!
% 2.72/0.83 % (3615941)------------------------------
% 2.72/0.83 % (3615941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615941)CaDiCaL version: 2.1.3
% 2.72/0.83 % (3615941)Termination reason: Instruction limit
% 2.72/0.83 % (3615941)Termination phase: Saturation
% 2.72/0.83 % (3615941)Time elapsed: 0.069 s
% 2.72/0.83 % (3615941)Peak memory usage: 12 MB
% 2.72/0.83 % (3615941)Instructions burned: 61 (million)
% 2.72/0.83 % (3615958)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2250293536:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.72/0.83 % (3615959)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=677962912:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.72/0.83 % (3615962)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3259468379:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.72/0.83 % (3615964)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2885946119:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.72/0.83 % (3615963)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.72/0.83 % (3615963)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4211214786:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.72/0.83 % (3615963)Instruction limit reached!
% 2.72/0.83 % (3615963)------------------------------
% 2.72/0.83 % (3615963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.72/0.83 % (3615963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/0.83 % (3615963)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615963)Termination reason: Instruction limit
% 2.92/0.92 % (3615963)Termination phase: Property scanning
% 2.92/0.92 % (3615963)Time elapsed: 0.004 s
% 2.92/0.92 % (3615963)Peak memory usage: 9 MB
% 2.92/0.92 % (3615963)Instructions burned: 8 (million)
% 2.92/0.92 % (3615962)Instruction limit reached!
% 2.92/0.92 % (3615962)------------------------------
% 2.92/0.92 % (3615962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615962)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615962)Termination reason: Instruction limit
% 2.92/0.92 % (3615962)Termination phase: Saturation
% 2.92/0.92 % (3615962)Time elapsed: 0.020 s
% 2.92/0.92 % (3615962)Peak memory usage: 12 MB
% 2.92/0.92 % (3615962)Instructions burned: 43 (million)
% 2.92/0.92 % (3615971)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.92 % (3615970)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1265723123:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.92/0.92 % (3615971)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=18263157:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.92/0.92 % (3615971)Instruction limit reached!
% 2.92/0.92 % (3615971)------------------------------
% 2.92/0.92 % (3615971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615971)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615971)Termination reason: Instruction limit
% 2.92/0.92 % (3615971)Termination phase: Property scanning
% 2.92/0.92 % (3615971)Time elapsed: 0.003 s
% 2.92/0.92 % (3615971)Peak memory usage: 9 MB
% 2.92/0.92 % (3615971)Instructions burned: 8 (million)
% 2.92/0.92 % (3615974)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=916456547:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 2.92/0.92 % (3615974)Instruction limit reached!
% 2.92/0.92 % (3615974)------------------------------
% 2.92/0.92 % (3615974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615974)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615974)Termination reason: Instruction limit
% 2.92/0.92 % (3615974)Termination phase: Inequality splitting
% 2.92/0.92 % (3615974)Time elapsed: 0.011 s
% 2.92/0.92 % (3615974)Peak memory usage: 10 MB
% 2.92/0.92 % (3615974)Instructions burned: 23 (million)
% 2.92/0.92 % (3615976)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4084657797:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.92/0.92 % (3615976)Instruction limit reached!
% 2.92/0.92 % (3615976)------------------------------
% 2.92/0.92 % (3615976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615976)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615976)Termination reason: Instruction limit
% 2.92/0.92 % (3615976)Termination phase: Property scanning
% 2.92/0.92 % (3615976)Time elapsed: 0.008 s
% 2.92/0.92 % (3615976)Peak memory usage: 10 MB
% 2.92/0.92 % (3615976)Instructions burned: 20 (million)
% 2.92/0.92 % (3615964)Instruction limit reached!
% 2.92/0.92 % (3615964)------------------------------
% 2.92/0.92 % (3615964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615964)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615964)Termination reason: Instruction limit
% 2.92/0.92 % (3615964)Termination phase: Saturation
% 2.92/0.92 % (3615964)Time elapsed: 0.095 s
% 2.92/0.92 % (3615964)Peak memory usage: 13 MB
% 2.92/0.92 % (3615964)Instructions burned: 183 (million)
% 2.92/0.92 % (3615978)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1455332258:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.92/0.92 % (3615958)Instruction limit reached!
% 2.92/0.92 % (3615958)------------------------------
% 2.92/0.92 % (3615958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615958)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615958)Termination reason: Instruction limit
% 2.92/0.92 % (3615958)Termination phase: Saturation
% 2.92/0.92 % (3615958)Time elapsed: 0.123 s
% 2.92/0.92 % (3615958)Peak memory usage: 13 MB
% 2.92/0.92 % (3615958)Instructions burned: 143 (million)
% 2.92/0.92 % (3615979)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1985118335:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.92/0.92 % (3615970)Instruction limit reached!
% 2.92/0.92 % (3615970)------------------------------
% 2.92/0.92 % (3615970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615970)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615970)Termination reason: Instruction limit
% 2.92/0.92 % (3615970)Termination phase: Saturation
% 2.92/0.92 % (3615970)Time elapsed: 0.087 s
% 2.92/0.92 % (3615970)Peak memory usage: 13 MB
% 2.92/0.92 % (3615970)Instructions burned: 170 (million)
% 2.92/0.92 % (3615983)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1793209435:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.92/0.92 % (3615982)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1119056473:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.92/0.92 % (3615959)Instruction limit reached!
% 2.92/0.92 % (3615959)------------------------------
% 2.92/0.92 % (3615959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615959)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615959)Termination reason: Instruction limit
% 2.92/0.92 % (3615959)Termination phase: Saturation
% 2.92/0.92 % (3615959)Time elapsed: 0.167 s
% 2.92/0.92 % (3615959)Peak memory usage: 13 MB
% 2.92/0.92 % (3615959)Instructions burned: 193 (million)
% 2.92/0.92 % (3615983)Refutation not found, incomplete strategy
% 2.92/0.92 % (3615983)------------------------------
% 2.92/0.92 % (3615983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615983)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615983)Termination reason: Refutation not found, incomplete strategy
% 2.92/0.92 % (3615983)Time elapsed: 0.022 s
% 2.92/0.92 % (3615983)Peak memory usage: 12 MB
% 2.92/0.92 % (3615983)Instructions burned: 46 (million)
% 2.92/0.92 % (3615983)------------------------------
% 2.92/0.92 % (3615983)------------------------------
% 2.92/0.92 % (3615932)Instruction limit reached!
% 2.92/0.92 % (3615932)------------------------------
% 2.92/0.92 % (3615932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615932)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615932)Termination reason: Instruction limit
% 2.92/0.92 % (3615932)Termination phase: Saturation
% 2.92/0.92 % (3615932)Time elapsed: 0.320 s
% 2.92/0.92 % (3615932)Peak memory usage: 13 MB
% 2.92/0.92 % (3615932)Instructions burned: 327 (million)
% 2.92/0.92 % (3615986)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3618523704:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 2.92/0.92 % (3615987)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.92/0.92 % (3615982)Instruction limit reached!
% 2.92/0.92 % (3615982)------------------------------
% 2.92/0.92 % (3615982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615982)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615982)Termination reason: Instruction limit
% 2.92/0.92 % (3615982)Termination phase: Saturation
% 2.92/0.92 % (3615982)Time elapsed: 0.042 s
% 2.92/0.92 % (3615982)Peak memory usage: 12 MB
% 2.92/0.92 % (3615982)Instructions burned: 46 (million)
% 2.92/0.92 % (3615987)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=984803902:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 2.92/0.92 % (3615986)Instruction limit reached!
% 2.92/0.92 % (3615986)------------------------------
% 2.92/0.92 % (3615986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615986)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615986)Termination reason: Instruction limit
% 2.92/0.92 % (3615986)Termination phase: Property scanning
% 2.92/0.92 % (3615986)Time elapsed: 0.010 s
% 2.92/0.92 % (3615986)Peak memory usage: 10 MB
% 2.92/0.92 % (3615986)Instructions burned: 22 (million)
% 2.92/0.92 % (3615988)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2944960245:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 2.92/0.92 % (3615988)Instruction limit reached!
% 2.92/0.92 % (3615988)------------------------------
% 2.92/0.92 % (3615988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615988)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615988)Termination reason: Instruction limit
% 2.92/0.92 % (3615988)Termination phase: Preprocessing 3
% 2.92/0.92 % (3615988)Time elapsed: 0.012 s
% 2.92/0.92 % (3615988)Peak memory usage: 11 MB
% 2.92/0.92 % (3615988)Instructions burned: 14 (million)
% 2.92/0.92 % (3615992)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=733064850:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 2.92/0.92 % (3615990)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3008094118:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 2.92/0.92 % (3615994)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2790810049:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 2.92/0.92 % (3615994)Instruction limit reached!
% 2.92/0.92 % (3615994)------------------------------
% 2.92/0.92 % (3615994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615994)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615994)Termination reason: Instruction limit
% 2.92/0.92 % (3615994)Termination phase: Saturation
% 2.92/0.92 % (3615994)Time elapsed: 0.013 s
% 2.92/0.92 % (3615994)Peak memory usage: 11 MB
% 2.92/0.92 % (3615994)Instructions burned: 31 (million)
% 2.92/0.92 % (3615992)Instruction limit reached!
% 2.92/0.92 % (3615992)------------------------------
% 2.92/0.92 % (3615992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615992)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615992)Termination reason: Instruction limit
% 2.92/0.92 % (3615992)Termination phase: Saturation
% 2.92/0.92 % (3615992)Time elapsed: 0.044 s
% 2.92/0.92 % (3615992)Peak memory usage: 12 MB
% 2.92/0.92 % (3615992)Instructions burned: 51 (million)
% 2.92/0.92 % (3615978) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3615891-3615978"...
% 2.92/0.92 % (3615978)...printing done.
% 2.92/0.92 % (3615978)Refutation found. Thanks to Tanya!
% 2.92/0.92 % SZS status Theorem for theBenchmark
% 2.92/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.92 % (3615978)------------------------------
% 2.92/0.92 % (3615978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (3615978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (3615978)CaDiCaL version: 2.1.3
% 2.92/0.92 % (3615978)Termination reason: Refutation
% 2.92/0.92 % (3615978)Time elapsed: 0.161 s
% 2.92/0.92 % (3615978)Peak memory usage: 16 MB
% 2.92/0.92 % (3615978)Instructions burned: 258 (million)
% 2.92/0.92 % (3615891)Success in time 0.651 s
% 2.92/0.92 % Vampire exiting
%------------------------------------------------------------------------------