%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL874^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:14:39 AM UTC 2026
% Result : Theorem 4.05s 1.02s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 192 ( 82 unt; 0 typ; 8 def)
% Number of atoms : 1284 ( 297 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 1906 ( 194 ~; 315 |; 13 &;1239 @)
% ( 7 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 256 ( 256 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 62 usr; 14 con; 0-4 aty)
% ( 120 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 534 ( 0 sgn 201 !; 2 ?; 534 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
rk: $i > $i > $o ).
thf(func_def_33,type,
rb: $i > $i > $o ).
thf(func_def_34,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_35,type,
vOR: $o > $o > $o ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_42,type,
vIMP: $o > $o > $o ).
thf(func_def_43,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
vAND: $o > $o > $o ).
thf(func_def_45,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_48,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
sF0: $o ).
thf(func_def_50,type,
sK1: $i > $i ).
thf(func_def_51,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_52,type,
sK3: $i > ( $i > $o ) > $i ).
thf(func_def_54,type,
sK5: $i > $o ).
thf(func_def_56,type,
sK7: $i > ( $i > $o ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f11,axiom,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f20,axiom,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(f22,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X2: $i,X1: $i,X3: $i] :
( ( ( X0 @ X1 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X2 @ X3 ) ) )
= meuclidean ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',meuclidean) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f33,axiom,
mserial @ rb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f36,axiom,
meuclidean @ rk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(f38,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rk @ X0 ) @ ( mbox @ rb @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(f39,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rb @ X0 ) @ ( mbox @ rb @ ( mbox @ rk @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(f40,conjecture,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rb @ X0 ) @ ( mbox @ rk @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f41,negated_conjecture,
~ ( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rb @ X0 ) @ ( mbox @ rk @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
thf(f42,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f43,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f45,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f46,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f47,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f46]) ).
thf(f48,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f49,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f57,plain,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f58,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f61,plain,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f20]) ).
thf(f62,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f61]) ).
thf(f63,plain,
~ ( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rb @ X0 ) @ ( mbox @ rk @ X0 ) ) ) ),
inference(rectify,[],[f41]) ).
thf(f64,plain,
( $true
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rb @ Y0 ) @ ( mbox @ rk @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f71,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rk @ X0 ) @ ( mbox @ rb @ X0 ) ) ) ),
inference(rectify,[],[f38]) ).
thf(f72,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rk @ Y0 ) @ ( mbox @ rb @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f71]) ).
thf(f79,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X2 @ X1 ) )
=> ( X0 @ X1 @ X3 ) ) )
= meuclidean ),
inference(rectify,[],[f22]) ).
thf(f80,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f79]) ).
thf(f83,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ rb @ X0 ) @ ( mbox @ rb @ ( mbox @ rk @ X0 ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f84,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rb @ Y0 ) @ ( mbox @ rb @ ( mbox @ rk @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f83]) ).
thf(f87,plain,
mserial @ rb,
inference(rectify,[],[f33]) ).
thf(f88,plain,
( ( mserial @ rb )
= $true ),
inference(fool_elimination,[],[f87]) ).
thf(f98,plain,
meuclidean @ rk,
inference(rectify,[],[f36]) ).
thf(f99,plain,
( ( meuclidean @ rk )
= $true ),
inference(fool_elimination,[],[f98]) ).
thf(f109,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f110,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f109]) ).
thf(f111,plain,
( $true
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rb @ Y0 ) @ ( mbox @ rk @ Y0 ) ) ) ) ),
inference(flattening,[],[f64]) ).
thf(f121,plain,
( $true
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rb @ Y0 ) @ ( mbox @ rk @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f111]) ).
thf(f123,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f127,plain,
( ( meuclidean @ rk )
= $true ),
inference(cnf_transformation,[],[f99]) ).
thf(f128,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f130,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f131,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rb @ Y0 ) @ ( mbox @ rb @ ( mbox @ rk @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f84]) ).
thf(f132,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ rk @ Y0 ) @ ( mbox @ rb @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f72]) ).
thf(f134,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f47]) ).
thf(f138,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f140,plain,
( ( mserial @ rb )
= $true ),
inference(cnf_transformation,[],[f88]) ).
thf(f144,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f149,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f150,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f155,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f150,f134,f123]) ).
thf(f165,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f121,f138,f149,f155,f130,f130]) ).
thf(f166,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y2 @ Y1 ) )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) )
@ rk ) ),
inference(definition_unfolding,[],[f127,f128]) ).
thf(f167,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f131,f138,f149,f155,f130,f130,f130]) ).
thf(f168,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f132,f138,f149,f155,f130,f130]) ).
thf(f170,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ rb ) ),
inference(definition_unfolding,[],[f140,f144]) ).
thf(f172,definition,
( sF0
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f173,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f172]) ).
thf(f174,plain,
$true != sF0,
inference(definition_folding,[],[f165,f173]) ).
thf(f175,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( rk @ Y1 @ Y2 )
& ( rk @ Y1 @ Y0 ) )
=> ( rk @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f166]) ).
thf(f176,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( rk @ Y1 @ Y2 )
& ( rk @ Y1 @ Y0 ) )
=> ( rk @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f175]) ).
thf(f177,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( rk @ Y0 @ Y1 )
& ( rk @ Y0 @ X1 ) )
=> ( rk @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f176]) ).
thf(f178,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( rk @ Y0 @ Y1 )
& ( rk @ Y0 @ X1 ) )
=> ( rk @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f177]) ).
thf(f179,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( rk @ X2 @ Y0 )
& ( rk @ X2 @ X1 ) )
=> ( rk @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f180,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( rk @ X2 @ Y0 )
& ( rk @ X2 @ X1 ) )
=> ( rk @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f179]) ).
thf(f181,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( rk @ X2 @ X3 )
& ( rk @ X2 @ X1 ) )
=> ( rk @ X3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f182,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ( rk @ X2 @ X3 )
& ( rk @ X2 @ X1 ) ) )
| ( $true
= ( rk @ X3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f181]) ).
thf(f183,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( rk @ X3 @ X1 ) )
| ( ( rk @ X2 @ X3 )
= $false )
| ( ( rk @ X2 @ X1 )
= $false ) ),
inference(and_proxy_clausification,[],[f182]) ).
thf(f184,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( rb @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f170]) ).
thf(f185,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( ?? @ $i @ ( rb @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f184]) ).
thf(f186,plain,
! [X1: $i] :
( $true
= ( ?? @ $i @ ( rb @ X1 ) ) ),
inference(beta-eta_normalization,[],[f185]) ).
thf(f187,plain,
! [X1: $i] :
( $true
= ( rb @ X1 @ ( sK1 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f186]) ).
thf(f188,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rk @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f167]) ).
thf(f189,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rk @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f188]) ).
thf(f190,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f189]) ).
thf(f191,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f190]) ).
thf(f192,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f191]) ).
thf(f193,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f192]) ).
thf(f194,plain,
! [X2: $i > $o,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f193]) ).
thf(f195,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) ) )
| ( ( ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK2 @ X1 @ X2 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f194]) ).
thf(f196,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK2 @ X1 @ X2 ) )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f195]) ).
thf(f197,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( rb @ X1 @ X3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
| ( ( ~ ( rb @ X1 @ ( sK2 @ X1 @ X2 ) )
| ( X2 @ ( sK2 @ X1 @ X2 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f196]) ).
thf(f198,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( rb @ X1 @ X3 ) ) )
| ( ( ~ ( rb @ X1 @ ( sK2 @ X1 @ X2 ) )
| ( X2 @ ( sK2 @ X1 @ X2 ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( ~ ( rb @ X1 @ ( sK2 @ X1 @ X2 ) )
| ( X2 @ ( sK2 @ X1 @ X2 ) ) )
= $false )
| ( ( rb @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f198]) ).
thf(f200,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) )
@ X4 ) )
| ( ( ~ ( rb @ X1 @ ( sK2 @ X1 @ X2 ) )
| ( X2 @ ( sK2 @ X1 @ X2 ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( rb @ X1 @ X3 )
= $false )
| ( ( X2 @ ( sK2 @ X1 @ X2 ) )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) )
@ X4 ) ) ),
inference(or_proxy_clausification,[],[f200]) ).
thf(f202,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( ~ ( rb @ X1 @ ( sK2 @ X1 @ X2 ) ) )
= $false )
| ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) )
@ X4 ) ) ),
inference(or_proxy_clausification,[],[f200]) ).
thf(f203,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( rk @ X3 @ Y0 )
| ( X2 @ Y0 ) )
@ X4 ) )
| ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( rb @ X1 @ ( sK2 @ X1 @ X2 ) ) ) ),
inference(not_proxy_clausification,[],[f202]) ).
thf(f204,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ~ ( rk @ X3 @ X4 )
| ( X2 @ X4 ) ) )
| ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( rb @ X1 @ ( sK2 @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f205,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( X2 @ X4 ) )
| ( $true
= ( rb @ X1 @ ( sK2 @ X1 @ X2 ) ) )
| ( ( ~ ( rk @ X3 @ X4 ) )
= $true )
| ( ( rb @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f204]) ).
thf(f206,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( rb @ X1 @ ( sK2 @ X1 @ X2 ) ) )
| ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X4 ) )
| ( ( rk @ X3 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( ~ ( rk @ X3 @ X4 )
| ( X2 @ X4 ) ) )
| ( ( X2 @ ( sK2 @ X1 @ X2 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f201]) ).
thf(f208,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X4 ) )
| ( ( X2 @ ( sK2 @ X1 @ X2 ) )
= $false )
| ( ( ~ ( rk @ X3 @ X4 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( X2 @ ( sK2 @ X1 @ X2 ) )
= $false )
| ( $true
= ( X2 @ X4 ) )
| ( ( rk @ X3 @ X4 )
= $false )
| ( ( rb @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f237,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f168]) ).
thf(f238,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f237]) ).
thf(f239,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f238]) ).
thf(f240,plain,
! [X2: $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f239]) ).
thf(f241,plain,
! [X2: $i > $o,X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f240]) ).
thf(f242,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f241]) ).
thf(f243,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f242]) ).
thf(f244,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f245,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( rb @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) )
| ( ( ^ [Y0: $i] :
( ~ ( rk @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK3 @ X1 @ X2 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f244]) ).
thf(f246,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( ~ ( rk @ X1 @ ( sK3 @ X1 @ X2 ) )
| ( X2 @ ( sK3 @ X1 @ X2 ) ) )
= $false )
| ( $true
= ( ~ ( rb @ X1 @ X3 )
| ( X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f245]) ).
thf(f247,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( rb @ X1 @ X3 )
| ( X2 @ X3 ) ) )
| ( ( X2 @ ( sK3 @ X1 @ X2 ) )
= $false ) ),
inference(or_proxy_clausification,[],[f246]) ).
thf(f248,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( ~ ( rk @ X1 @ ( sK3 @ X1 @ X2 ) ) )
= $false )
| ( $true
= ( ~ ( rb @ X1 @ X3 )
| ( X2 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f246]) ).
thf(f249,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( rk @ X1 @ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( ~ ( rb @ X1 @ X3 )
| ( X2 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f248]) ).
thf(f250,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( rb @ X1 @ X3 ) ) )
| ( $true
= ( rk @ X1 @ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( X2 @ X3 ) ) ),
inference(or_proxy_clausification,[],[f249]) ).
thf(f251,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( rk @ X1 @ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( X2 @ X3 ) )
| ( ( rb @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f250]) ).
thf(f252,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( X2 @ ( sK3 @ X1 @ X2 ) )
= $false )
| ( $true
= ( X2 @ X3 ) )
| ( $true
= ( ~ ( rb @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f247]) ).
thf(f253,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( X2 @ ( sK3 @ X1 @ X2 ) )
= $false )
| ( ( rb @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f252]) ).
thf(f258,plain,
( ( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rb
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ rk
@ Y0 ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(iff_proxy_clausification,[],[f173]) ).
thf(f259,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f258]) ).
thf(f260,plain,
( ( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rb @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rk @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ sK4 )
= $false )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f259]) ).
thf(f261,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ sK4 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ sK4 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f260]) ).
thf(f262,plain,
( ( $true = sF0 )
| ( ( ^ [Y0: $i > $o] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rb @ sK4 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rk @ sK4 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ sK5 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f261]) ).
thf(f263,plain,
( ( $true = sF0 )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ sK4 @ Y0 )
| ( sK5 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ sK4 @ Y0 )
| ( sK5 @ Y0 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f262]) ).
thf(f264,plain,
( ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rk @ sK4 @ Y0 )
| ( sK5 @ Y0 ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f263]) ).
thf(f265,plain,
( ( $true = sF0 )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ sK4 @ Y0 )
| ( sK5 @ Y0 ) ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f263]) ).
thf(f266,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rb @ sK4 @ Y0 )
| ( sK5 @ Y0 ) ) )
= $true )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f265]) ).
thf(f267,plain,
! [X1: $i] :
( ( $true = sF0 )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rb @ sK4 @ Y0 )
| ( sK5 @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f266]) ).
thf(f268,plain,
! [X1: $i] :
( ( $true
= ( ~ ( rb @ sK4 @ X1 )
| ( sK5 @ X1 ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f267]) ).
thf(f269,plain,
! [X1: $i] :
( ( $true = sF0 )
| ( $true
= ( ~ ( rb @ sK4 @ X1 ) ) )
| ( $true
= ( sK5 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f268]) ).
thf(f270,plain,
! [X1: $i] :
( ( $true
= ( sK5 @ X1 ) )
| ( $true = sF0 )
| ( ( rb @ sK4 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f269]) ).
thf(f271,plain,
( ( $true = sF0 )
| ( ( ^ [Y0: $i] :
( ~ ( rk @ sK4 @ Y0 )
| ( sK5 @ Y0 ) )
@ sK6 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f264]) ).
thf(f272,plain,
( ( ( ~ ( rk @ sK4 @ sK6 )
| ( sK5 @ sK6 ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f271]) ).
thf(f273,plain,
( ( ( sK5 @ sK6 )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f272]) ).
thf(f274,plain,
( ( ( ~ ( rk @ sK4 @ sK6 ) )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f272]) ).
thf(f275,plain,
( ( $true = sF0 )
| ( $true
= ( rk @ sK4 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f274]) ).
thf(f294,definition,
( spl8_1
<=> ! [X1: $i] :
( ( $true
= ( sK5 @ X1 ) )
| ( ( rb @ sK4 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
thf(f295,plain,
( ! [X1: $i] :
( ( ( rb @ sK4 @ X1 )
= $false )
| ( $true
= ( sK5 @ X1 ) ) )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f294]) ).
thf(f297,definition,
( spl8_2
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
thf(f300,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f270,f297,f294]) ).
thf(f302,definition,
( spl8_3
<=> ( $true
= ( rk @ sK4 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f304,plain,
( ( $true
= ( rk @ sK4 @ sK6 ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f305,plain,
( spl8_3
| spl8_2 ),
inference(avatar_split_clause,[],[f275,f297,f302]) ).
thf(f307,definition,
( spl8_4
<=> ( ( sK5 @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
thf(f309,plain,
( ( ( sK5 @ sK6 )
= $false )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f307]) ).
thf(f310,plain,
( spl8_2
| spl8_4 ),
inference(avatar_split_clause,[],[f273,f307,f297]) ).
thf(f323,plain,
~ spl8_2,
inference(avatar_split_clause,[],[f174,f297]) ).
thf(f504,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( rb @ X0 @ X1 )
= $false )
| ( $true = $false )
| ( ( rk @ X0 @ X2 )
= $true )
| ( $true
= ( rk @ X0 @ X1 ) )
| ( ( rb @ X0 @ X2 )
= $false ) ),
inference(superposition,[],[f253,f251]) ).
thf(f507,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( rk @ X0 @ X1 ) )
| ( ( rb @ X0 @ X1 )
= $false )
| ( ( rk @ X0 @ X2 )
= $true )
| ( ( rb @ X0 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f873,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( rb @ X0 @ X3 ) )
| ( ( rb @ X0 @ X1 )
= $false )
| ( ( rb @ X0 @ X4 )
= $false )
| ( ( rk @ X4 @ X3 )
= $false )
| ( $true = $false )
| ( ( rk @ X1 @ X2 )
= $false )
| ( ( rb @ X0 @ X2 )
= $true ) ),
inference(superposition,[],[f206,f209]) ).
thf(f896,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( rb @ X0 @ X3 ) )
| ( ( rk @ X1 @ X2 )
= $false )
| ( ( rb @ X0 @ X4 )
= $false )
| ( ( rk @ X4 @ X3 )
= $false )
| ( ( rb @ X0 @ X1 )
= $false )
| ( ( rb @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f873]) ).
thf(f1190,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rk @ X0 @ X1 ) )
| ( $true != $true )
| ( ( rb @ X0 @ X1 )
= $false )
| ( ( rb @ X0 @ X1 )
= $false ) ),
inference(equality_factoring,[],[f507]) ).
thf(f1193,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rk @ X0 @ X1 ) )
| ( ( rb @ X0 @ X1 )
= $false )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f1190]) ).
thf(f1194,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( rk @ X0 @ X1 ) )
| ( ( rb @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1193]) ).
thf(f3500,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( rb @ sK4 @ X3 )
= $false )
| ( $true
= ( rb @ sK4 @ X2 ) )
| ( ( sK5 @ X0 )
= $true )
| ( $true = $false )
| ( ( rb @ sK4 @ X1 )
= $false )
| ( ( rk @ X3 @ X0 )
= $false )
| ( ( rk @ X1 @ X2 )
= $false ) )
| ~ spl8_1 ),
inference(superposition,[],[f896,f295]) ).
thf(f3612,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( rk @ X3 @ X0 )
= $false )
| ( ( rk @ X1 @ X2 )
= $false )
| ( ( rb @ sK4 @ X1 )
= $false )
| ( ( rb @ sK4 @ X3 )
= $false )
| ( $true
= ( rb @ sK4 @ X2 ) )
| ( ( sK5 @ X0 )
= $true ) )
| ~ spl8_1 ),
inference(trivial_inequality_removal,[],[f3500]) ).
thf(f3621,definition,
( spl8_10
<=> ! [X2: $i,X1: $i] :
( ( ( rb @ sK4 @ X1 )
= $false )
| ( $true
= ( rb @ sK4 @ X2 ) )
| ( ( rk @ X1 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
thf(f3622,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( rb @ sK4 @ X2 ) )
| ( ( rb @ sK4 @ X1 )
= $false )
| ( ( rk @ X1 @ X2 )
= $false ) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f3621]) ).
thf(f3624,definition,
( spl8_11
<=> ! [X0: $i,X3: $i] :
( ( ( rb @ sK4 @ X3 )
= $false )
| ( ( rk @ X3 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
thf(f3625,plain,
( ! [X3: $i,X0: $i] :
( ( ( rb @ sK4 @ X3 )
= $false )
| ( ( rk @ X3 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f3624]) ).
thf(f3639,plain,
( spl8_10
| spl8_11
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f3612,f294,f3624,f3621]) ).
thf(f3641,plain,
( ! [X0: $i,X1: $i] :
( ( ( rk @ X1 @ X0 )
= $false )
| ( ( rb @ sK4 @ X1 )
= $false )
| ( ( sK5 @ X0 )
= $true )
| ( $true = $false ) )
| ~ spl8_1
| ~ spl8_10 ),
inference(superposition,[],[f3622,f295]) ).
thf(f3671,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK5 @ X0 )
= $true )
| ( ( rb @ sK4 @ X1 )
= $false )
| ( ( rk @ X1 @ X0 )
= $false ) )
| ~ spl8_1
| ~ spl8_10 ),
inference(trivial_inequality_removal,[],[f3641]) ).
thf(f3687,plain,
( spl8_11
| ~ spl8_1
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f3671,f3621,f294,f3624]) ).
thf(f3717,plain,
( ! [X0: $i] :
( ( ( sK5 @ X0 )
= $true )
| ( ( rk @ ( sK1 @ sK4 ) @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl8_11 ),
inference(superposition,[],[f187,f3625]) ).
thf(f3778,plain,
( ! [X0: $i] :
( ( ( rk @ ( sK1 @ sK4 ) @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) )
| ~ spl8_11 ),
inference(trivial_inequality_removal,[],[f3717]) ).
thf(f3792,plain,
( ! [X0: $i,X1: $i] :
( ( ( rk @ X1 @ ( sK1 @ sK4 ) )
= $false )
| ( ( rk @ X1 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true )
| ( $true = $false ) )
| ~ spl8_11 ),
inference(superposition,[],[f3778,f183]) ).
thf(f3804,plain,
( ! [X0: $i,X1: $i] :
( ( ( rk @ X1 @ ( sK1 @ sK4 ) )
= $false )
| ( ( sK5 @ X0 )
= $true )
| ( ( rk @ X1 @ X0 )
= $false ) )
| ~ spl8_11 ),
inference(trivial_inequality_removal,[],[f3792]) ).
thf(f5269,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( rk @ X0 @ X1 )
= $false )
| ( $true
= ( sK5 @ X1 ) )
| ( ( rb @ X0 @ ( sK1 @ sK4 ) )
= $false ) )
| ~ spl8_11 ),
inference(superposition,[],[f1194,f3804]) ).
thf(f5276,plain,
( ! [X0: $i,X1: $i] :
( ( ( rb @ X0 @ ( sK1 @ sK4 ) )
= $false )
| ( ( rk @ X0 @ X1 )
= $false )
| ( $true
= ( sK5 @ X1 ) ) )
| ~ spl8_11 ),
inference(trivial_inequality_removal,[],[f5269]) ).
thf(f5674,plain,
( ! [X0: $i] :
( ( ( sK5 @ X0 )
= $true )
| ( ( rk @ sK4 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl8_11 ),
inference(superposition,[],[f187,f5276]) ).
thf(f5689,plain,
( ! [X0: $i] :
( ( ( rk @ sK4 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) )
| ~ spl8_11 ),
inference(trivial_inequality_removal,[],[f5674]) ).
thf(f5705,definition,
( spl8_42
<=> ! [X0: $i] :
( ( ( rk @ sK4 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl8_42])],[avatar_definition]) ).
thf(f5706,plain,
( ! [X0: $i] :
( ( ( rk @ sK4 @ X0 )
= $false )
| ( ( sK5 @ X0 )
= $true ) )
| ~ spl8_42 ),
inference(avatar_component_clause,[],[f5705]) ).
thf(f5712,plain,
( spl8_42
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f5689,f3624,f5705]) ).
thf(f5719,plain,
( ( $true = $false )
| ( ( sK5 @ sK6 )
= $true )
| ~ spl8_3
| ~ spl8_42 ),
inference(superposition,[],[f5706,f304]) ).
thf(f5738,plain,
( ( ( sK5 @ sK6 )
= $true )
| ~ spl8_3
| ~ spl8_42 ),
inference(trivial_inequality_removal,[],[f5719]) ).
thf(f5744,plain,
( ( $true = $false )
| ~ spl8_3
| ~ spl8_4
| ~ spl8_42 ),
inference(forward_demodulation,[],[f5738,f309]) ).
thf(f5745,plain,
( $false
| ~ spl8_3
| ~ spl8_4
| ~ spl8_42 ),
inference(trivial_inequality_removal,[],[f5744]) ).
thf(f5746,plain,
( ~ spl8_3
| ~ spl8_4
| ~ spl8_42 ),
inference(avatar_contradiction_clause,[],[f5745]) ).
cnf(s1,plain,
( spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f300]) ).
cnf(s2,plain,
( spl8_2
| spl8_3 ),
inference(sat_conversion,[],[f305]) ).
cnf(s3,plain,
( spl8_2
| spl8_4 ),
inference(sat_conversion,[],[f310]) ).
cnf(s6,plain,
~ spl8_2,
inference(sat_conversion,[],[f323]) ).
cnf(s12,plain,
( ~ spl8_1
| spl8_10
| spl8_11 ),
inference(sat_conversion,[],[f3639]) ).
cnf(s15,plain,
( ~ spl8_1
| ~ spl8_10
| spl8_11 ),
inference(sat_conversion,[],[f3687]) ).
cnf(s60,plain,
( ~ spl8_11
| spl8_42 ),
inference(sat_conversion,[],[f5712]) ).
cnf(s63,plain,
( ~ spl8_3
| ~ spl8_4
| ~ spl8_42 ),
inference(sat_conversion,[],[f5746]) ).
cnf(s64,plain,
spl8_4,
inference(rat,[],[s3,s6]) ).
cnf(s65,plain,
spl8_3,
inference(rat,[],[s2,s6]) ).
cnf(s66,plain,
~ spl8_42,
inference(rat,[],[s63,s64,s65]) ).
cnf(s67,plain,
~ spl8_11,
inference(rat,[],[s60,s66]) ).
cnf(s68,plain,
spl8_1,
inference(rat,[],[s1,s6]) ).
cnf(s69,plain,
~ spl8_10,
inference(rat,[],[s15,s67,s68]) ).
cnf(s70,plain,
$false,
inference(rat,[],[s12,s67,s69,s68]) ).
thf(f5747,plain,
$false,
inference(avatar_sat_refutation,[],[s70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL874^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n006.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 10:19:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % (522650)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (522660)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3362365578:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (522661)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (522661)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
% 0.21/0.36 % (522655)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2412599098:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (522656)lrs+10_16_si=on:nwc=1.5:random_seed=1914998632:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (522659)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=980625490:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (522657)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4172286870:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (522658)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=2034537805: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)
% 0.21/0.36 % (522661)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=373050247:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (522657)Instruction limit reached!
% 0.21/0.36 % (522657)------------------------------
% 0.21/0.36 % (522657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (522657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (522657)CaDiCaL version: 2.1.3
% 0.21/0.36 % (522657)Termination reason: Instruction limit
% 0.21/0.36 % (522657)Termination phase: Function definition elimination
% 0.21/0.36 % (522657)Time elapsed: 0.003 s
% 0.21/0.36 % (522657)Peak memory usage: 10 MB
% 0.21/0.36 % (522657)Instructions burned: 7 (million)
% 0.21/0.36 % (522656)Instruction limit reached!
% 0.21/0.36 % (522656)------------------------------
% 0.21/0.36 % (522656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (522656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (522656)CaDiCaL version: 2.1.3
% 0.21/0.36 % (522656)Termination reason: Instruction limit
% 0.21/0.36 % (522656)Termination phase: Saturation
% 0.21/0.36 % (522656)Time elapsed: 0.010 s
% 0.21/0.36 % (522656)Peak memory usage: 12 MB
% 0.21/0.36 % (522656)Instructions burned: 19 (million)
% 0.21/0.36 % (522660)Instruction limit reached!
% 0.21/0.36 % (522660)------------------------------
% 0.21/0.36 % (522660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (522660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (522660)CaDiCaL version: 2.1.3
% 0.21/0.36 % (522660)Termination reason: Instruction limit
% 0.21/0.36 % (522660)Termination phase: Saturation
% 0.21/0.36 % (522660)Time elapsed: 0.020 s
% 0.21/0.36 % (522660)Peak memory usage: 12 MB
% 0.21/0.36 % (522660)Instructions burned: 80 (million)
% 0.21/0.36 % (522659)Instruction limit reached!
% 0.21/0.36 % (522659)------------------------------
% 0.21/0.36 % (522659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (522659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (522659)CaDiCaL version: 2.1.3
% 0.21/0.36 % (522659)Termination reason: Instruction limit
% 0.21/0.36 % (522659)Termination phase: Saturation
% 0.21/0.36 % (522659)Time elapsed: 0.013 s
% 0.21/0.36 % (522659)Peak memory usage: 11 MB
% 0.21/0.36 % (522659)Instructions burned: 24 (million)
% 0.21/0.36 % (522671)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.36 % (522669)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=122586531:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (522671)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2161423892:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.39 % (522671)Instruction limit reached!
% 0.82/0.39 % (522671)------------------------------
% 0.82/0.39 % (522671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522671)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522671)Termination reason: Instruction limit
% 0.82/0.39 % (522671)Termination phase: Saturation
% 0.82/0.39 % (522671)Time elapsed: 0.002 s
% 0.82/0.39 % (522671)Peak memory usage: 12 MB
% 0.82/0.39 % (522671)Instructions burned: 10 (million)
% 0.82/0.39 % (522669)Instruction limit reached!
% 0.82/0.39 % (522669)------------------------------
% 0.82/0.39 % (522669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522669)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522669)Termination reason: Instruction limit
% 0.82/0.39 % (522669)Termination phase: Property scanning
% 0.82/0.39 % (522669)Time elapsed: 0.003 s
% 0.82/0.39 % (522669)Peak memory usage: 10 MB
% 0.82/0.39 % (522669)Instructions burned: 7 (million)
% 0.82/0.39 % (522670)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2801516103:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.39 % (522672)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4262918013:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.39 % (522670)Instruction limit reached!
% 0.82/0.39 % (522670)------------------------------
% 0.82/0.39 % (522670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522670)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522670)Termination reason: Instruction limit
% 0.82/0.39 % (522670)Termination phase: Function definition elimination
% 0.82/0.39 % (522670)Time elapsed: 0.003 s
% 0.82/0.39 % (522670)Peak memory usage: 10 MB
% 0.82/0.39 % (522670)Instructions burned: 7 (million)
% 0.82/0.39 % (522675)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
% 0.82/0.39 % (522675)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.39 % (522675)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=928627106:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.39 % (522672)Instruction limit reached!
% 0.82/0.39 % (522672)------------------------------
% 0.82/0.39 % (522672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522672)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522672)Termination reason: Instruction limit
% 0.82/0.39 % (522672)Termination phase: Saturation
% 0.82/0.39 % (522672)Time elapsed: 0.006 s
% 0.82/0.39 % (522672)Peak memory usage: 11 MB
% 0.82/0.39 % (522672)Instructions burned: 14 (million)
% 0.82/0.39 % (522655)Instruction limit reached!
% 0.82/0.39 % (522655)------------------------------
% 0.82/0.39 % (522655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522655)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522655)Termination reason: Instruction limit
% 0.82/0.39 % (522655)Termination phase: Saturation
% 0.82/0.39 % (522655)Time elapsed: 0.041 s
% 0.82/0.39 % (522655)Peak memory usage: 12 MB
% 0.82/0.39 % (522655)Instructions burned: 88 (million)
% 0.82/0.39 % (522675)Instruction limit reached!
% 0.82/0.39 % (522675)------------------------------
% 0.82/0.39 % (522675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (522675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (522675)CaDiCaL version: 2.1.3
% 0.82/0.39 % (522675)Termination reason: Instruction limit
% 0.82/0.39 % (522675)Termination phase: Saturation
% 0.82/0.39 % (522675)Time elapsed: 0.007 s
% 0.82/0.42 % (522675)Peak memory usage: 12 MB
% 0.82/0.42 % (522675)Instructions burned: 29 (million)
% 0.82/0.42 % (522676)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=2677105530:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.42 % (522681)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.42 % (522683)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=130125177:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.42 % (522681)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=3144324031:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.42 % (522683)Refutation not found, incomplete strategy
% 0.82/0.42 % (522683)------------------------------
% 0.82/0.42 % (522683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (522683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (522683)CaDiCaL version: 2.1.3
% 0.82/0.42 % (522683)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.42 % (522683)Time elapsed: 0.002 s
% 0.82/0.42 % (522683)Peak memory usage: 12 MB
% 0.82/0.42 % (522683)Instructions burned: 9 (million)
% 0.82/0.42 % (522683)------------------------------
% 0.82/0.42 % (522683)------------------------------
% 0.82/0.42 % (522679)lrs+10_1_si=on:cs=on:random_seed=1255327659:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.42 % (522681)Instruction limit reached!
% 0.82/0.42 % (522681)------------------------------
% 0.82/0.42 % (522681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (522681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (522681)CaDiCaL version: 2.1.3
% 0.82/0.42 % (522681)Termination reason: Instruction limit
% 0.82/0.42 % (522681)Termination phase: shuffling
% 0.82/0.42 % (522681)Time elapsed: 0.001 s
% 0.82/0.42 % (522681)Peak memory usage: 9 MB
% 0.82/0.42 % (522681)Instructions burned: 2 (million)
% 0.82/0.42 % (522682)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3674321363:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.42 % (522682)Refutation not found, incomplete strategy
% 0.82/0.42 % (522682)------------------------------
% 0.82/0.42 % (522682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (522682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (522682)CaDiCaL version: 2.1.3
% 0.82/0.42 % (522682)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.42 % (522682)Time elapsed: 0.004 s
% 0.82/0.42 % (522682)Peak memory usage: 12 MB
% 0.82/0.42 % (522682)Instructions burned: 7 (million)
% 0.82/0.42 % (522682)------------------------------
% 0.82/0.42 % (522682)------------------------------
% 0.82/0.42 % (522679)Instruction limit reached!
% 0.82/0.42 % (522679)------------------------------
% 0.82/0.42 % (522679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (522679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (522679)CaDiCaL version: 2.1.3
% 0.82/0.42 % (522679)Termination reason: Instruction limit
% 0.82/0.42 % (522679)Termination phase: Saturation
% 0.82/0.42 % (522679)Time elapsed: 0.008 s
% 0.82/0.42 % (522679)Peak memory usage: 11 MB
% 0.82/0.42 % (522679)Instructions burned: 9 (million)
% 0.82/0.42 % (522688)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2643699557:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.42 % (522688)Instruction limit reached!
% 0.82/0.42 % (522688)------------------------------
% 0.82/0.42 % (522688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.42 % (522688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.42 % (522688)CaDiCaL version: 2.1.3
% 0.82/0.42 % (522688)Termination reason: Instruction limit
% 0.82/0.42 % (522688)Termination phase: Saturation
% 0.82/0.42 % (522688)Time elapsed: 0.008 s
% 0.82/0.42 % (522688)Peak memory usage: 12 MB
% 0.82/0.42 % (522688)Instructions burned: 28 (million)
% 0.82/0.42 % (522661)Instruction limit reached!
% 0.82/0.42 % (522661)------------------------------
% 0.82/0.46 % (522661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (522661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (522661)CaDiCaL version: 2.1.3
% 0.82/0.46 % (522661)Termination reason: Instruction limit
% 0.82/0.46 % (522661)Termination phase: Saturation
% 0.82/0.46 % (522661)Time elapsed: 0.078 s
% 0.82/0.46 % (522661)Peak memory usage: 13 MB
% 0.82/0.46 % (522661)Instructions burned: 159 (million)
% 0.82/0.46 % (522689)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3038694636:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.82/0.46 % (522691)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3447782880:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.46 % (522694)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2435689275:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.82/0.46 % (522676)Instruction limit reached!
% 0.82/0.46 % (522676)------------------------------
% 0.82/0.46 % (522676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (522676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (522676)CaDiCaL version: 2.1.3
% 0.82/0.46 % (522676)Termination reason: Instruction limit
% 0.82/0.46 % (522676)Termination phase: Saturation
% 0.82/0.46 % (522676)Time elapsed: 0.043 s
% 0.82/0.46 % (522676)Peak memory usage: 12 MB
% 0.82/0.46 % (522676)Instructions burned: 88 (million)
% 0.82/0.46 % (522694)Instruction limit reached!
% 0.82/0.46 % (522694)------------------------------
% 0.82/0.46 % (522694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (522694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (522694)CaDiCaL version: 2.1.3
% 0.82/0.46 % (522694)Termination reason: Instruction limit
% 0.82/0.46 % (522694)Termination phase: SInE selection
% 0.82/0.46 % (522694)Time elapsed: 0.001 s
% 0.82/0.46 % (522694)Peak memory usage: 10 MB
% 0.82/0.46 % (522694)Instructions burned: 5 (million)
% 0.82/0.46 % (522689)Instruction limit reached!
% 0.82/0.46 % (522689)------------------------------
% 0.82/0.46 % (522689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (522689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (522689)CaDiCaL version: 2.1.3
% 0.82/0.46 % (522689)Termination reason: Instruction limit
% 0.82/0.46 % (522689)Termination phase: Saturation
% 0.82/0.46 % (522689)Time elapsed: 0.012 s
% 0.82/0.46 % (522689)Peak memory usage: 12 MB
% 0.82/0.46 % (522689)Instructions burned: 22 (million)
% 0.82/0.46 % (522695)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1423570626:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.82/0.46 % (522693)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=440034694:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.46 % (522701)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
% 0.82/0.46 % (522701)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.82/0.46 % (522701)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=4293729131:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.46 % (522693)Instruction limit reached!
% 0.82/0.46 % (522693)------------------------------
% 0.82/0.46 % (522693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (522693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (522693)CaDiCaL version: 2.1.3
% 0.82/0.46 % (522693)Termination reason: Instruction limit
% 0.82/0.46 % (522693)Termination phase: Saturation
% 0.82/0.46 % (522693)Time elapsed: 0.007 s
% 0.82/0.46 % (522693)Peak memory usage: 12 MB
% 0.82/0.46 % (522693)Instructions burned: 15 (million)
% 0.82/0.46 % (522700)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3456219184:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.58/0.50 % (522699)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1071028432:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.58/0.50 % (522701)Instruction limit reached!
% 1.58/0.50 % (522701)------------------------------
% 1.58/0.50 % (522701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522701)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522701)Termination reason: Instruction limit
% 1.58/0.50 % (522701)Termination phase: Saturation
% 1.58/0.50 % (522701)Time elapsed: 0.004 s
% 1.58/0.50 % (522701)Peak memory usage: 12 MB
% 1.58/0.50 % (522701)Instructions burned: 16 (million)
% 1.58/0.50 % (522695)Instruction limit reached!
% 1.58/0.50 % (522695)------------------------------
% 1.58/0.50 % (522695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522695)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522695)Termination reason: Instruction limit
% 1.58/0.50 % (522695)Termination phase: Saturation
% 1.58/0.50 % (522695)Time elapsed: 0.014 s
% 1.58/0.50 % (522695)Peak memory usage: 11 MB
% 1.58/0.50 % (522695)Instructions burned: 26 (million)
% 1.58/0.50 % (522708)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=4137266938:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.58/0.50 % (522699)Instruction limit reached!
% 1.58/0.50 % (522699)------------------------------
% 1.58/0.50 % (522699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522699)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522699)Termination reason: Instruction limit
% 1.58/0.50 % (522699)Termination phase: Saturation
% 1.58/0.50 % (522699)Time elapsed: 0.011 s
% 1.58/0.50 % (522699)Peak memory usage: 11 MB
% 1.58/0.50 % (522699)Instructions burned: 23 (million)
% 1.58/0.50 % (522705)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.58/0.50 % (522705)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=2808462202:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.58/0.50 % (522708)Instruction limit reached!
% 1.58/0.50 % (522708)------------------------------
% 1.58/0.50 % (522708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522708)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522708)Termination reason: Instruction limit
% 1.58/0.50 % (522708)Termination phase: Saturation
% 1.58/0.50 % (522708)Time elapsed: 0.009 s
% 1.58/0.50 % (522708)Peak memory usage: 12 MB
% 1.58/0.50 % (522708)Instructions burned: 32 (million)
% 1.58/0.50 % (522705)Instruction limit reached!
% 1.58/0.50 % (522705)------------------------------
% 1.58/0.50 % (522705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522705)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522705)Termination reason: Instruction limit
% 1.58/0.50 % (522705)Termination phase: Saturation
% 1.58/0.50 % (522705)Time elapsed: 0.005 s
% 1.58/0.50 % (522705)Peak memory usage: 11 MB
% 1.58/0.50 % (522705)Instructions burned: 10 (million)
% 1.58/0.50 % (522709)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3487720980:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.58/0.50 % (522709)Instruction limit reached!
% 1.58/0.50 % (522709)------------------------------
% 1.58/0.50 % (522709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.50 % (522709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.50 % (522709)CaDiCaL version: 2.1.3
% 1.58/0.50 % (522709)Termination reason: Instruction limit
% 1.58/0.50 % (522709)Termination phase: Saturation
% 1.58/0.50 % (522709)Time elapsed: 0.004 s
% 1.58/0.50 % (522709)Peak memory usage: 11 MB
% 1.58/0.50 % (522709)Instructions burned: 9 (million)
% 1.58/0.50 % (522713)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3862845101:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.58/0.57 % (522711)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1236973001:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.58/0.57 % (522700)Instruction limit reached!
% 1.58/0.57 % (522700)------------------------------
% 1.58/0.57 % (522700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.57 % (522700)CaDiCaL version: 2.1.3
% 1.58/0.57 % (522700)Termination reason: Instruction limit
% 1.58/0.57 % (522700)Termination phase: Saturation
% 1.58/0.57 % (522700)Time elapsed: 0.033 s
% 1.58/0.57 % (522700)Peak memory usage: 12 MB
% 1.58/0.57 % (522700)Instructions burned: 61 (million)
% 1.58/0.57 % (522713)Instruction limit reached!
% 1.58/0.57 % (522713)------------------------------
% 1.58/0.57 % (522713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.57 % (522713)CaDiCaL version: 2.1.3
% 1.58/0.57 % (522713)Termination reason: Instruction limit
% 1.58/0.57 % (522713)Termination phase: Saturation
% 1.58/0.57 % (522713)Time elapsed: 0.006 s
% 1.58/0.57 % (522713)Peak memory usage: 12 MB
% 1.58/0.57 % (522713)Instructions burned: 24 (million)
% 1.58/0.57 % (522714)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1164386577:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.58/0.57 % (522711)Instruction limit reached!
% 1.58/0.57 % (522711)------------------------------
% 1.58/0.57 % (522711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.57 % (522711)CaDiCaL version: 2.1.3
% 1.58/0.57 % (522711)Termination reason: Instruction limit
% 1.58/0.57 % (522711)Termination phase: Saturation
% 1.58/0.57 % (522711)Time elapsed: 0.010 s
% 1.58/0.57 % (522711)Peak memory usage: 11 MB
% 1.58/0.57 % (522711)Instructions burned: 24 (million)
% 1.58/0.57 % (522716)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1292414032:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.58/0.57 % (522720)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2717162078:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.58/0.57 % (522719)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1123911946:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.58/0.57 % (522722)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.58/0.57 % (522720)Instruction limit reached!
% 1.58/0.57 % (522720)------------------------------
% 1.58/0.57 % (522720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.57 % (522720)CaDiCaL version: 2.1.3
% 1.58/0.57 % (522720)Termination reason: Instruction limit
% 1.58/0.57 % (522720)Termination phase: Saturation
% 1.58/0.57 % (522720)Time elapsed: 0.012 s
% 1.58/0.57 % (522720)Peak memory usage: 12 MB
% 1.58/0.57 % (522720)Instructions burned: 45 (million)
% 1.58/0.57 % (522722)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2297947038:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.58/0.57 % (522722)Instruction limit reached!
% 1.58/0.57 % (522722)------------------------------
% 1.58/0.57 % (522722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.57 % (522722)CaDiCaL version: 2.1.3
% 1.58/0.57 % (522722)Termination reason: Instruction limit
% 1.58/0.57 % (522722)Termination phase: Saturation
% 1.58/0.57 % (522722)Time elapsed: 0.007 s
% 1.58/0.57 % (522722)Peak memory usage: 12 MB
% 1.58/0.57 % (522722)Instructions burned: 15 (million)
% 1.58/0.57 % (522719)Refutation not found, incomplete strategy
% 1.58/0.57 % (522719)------------------------------
% 1.58/0.57 % (522719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.57 % (522719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.65 % (522727)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1636127631:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.63/0.65 % (522719)CaDiCaL version: 2.1.3
% 2.63/0.65 % (522719)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.65 % (522719)Time elapsed: 0.018 s
% 2.63/0.65 % (522719)Peak memory usage: 12 MB
% 2.63/0.65 % (522719)Instructions burned: 12 (million)
% 2.63/0.65 % (522719)------------------------------
% 2.63/0.65 % (522719)------------------------------
% 2.63/0.65 % (522727)Refutation not found, incomplete strategy
% 2.63/0.65 % (522727)------------------------------
% 2.63/0.65 % (522727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.65 % (522727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.65 % (522727)CaDiCaL version: 2.1.3
% 2.63/0.65 % (522727)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.65 % (522727)Time elapsed: 0.002 s
% 2.63/0.65 % (522727)Peak memory usage: 12 MB
% 2.63/0.65 % (522727)Instructions burned: 8 (million)
% 2.63/0.65 % (522727)------------------------------
% 2.63/0.65 % (522727)------------------------------
% 2.63/0.65 % (522730)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.65 % (522730)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3611959469:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.63/0.65 % (522730)Instruction limit reached!
% 2.63/0.65 % (522730)------------------------------
% 2.63/0.65 % (522730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.65 % (522730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.65 % (522730)CaDiCaL version: 2.1.3
% 2.63/0.65 % (522730)Termination reason: Instruction limit
% 2.63/0.65 % (522730)Termination phase: Property scanning
% 2.63/0.65 % (522730)Time elapsed: 0.002 s
% 2.63/0.65 % (522730)Peak memory usage: 11 MB
% 2.63/0.65 % (522730)Instructions burned: 9 (million)
% 2.63/0.65 % (522728)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=1647629561:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.63/0.65 % (522728)Refutation not found, incomplete strategy
% 2.63/0.65 % (522728)------------------------------
% 2.63/0.65 % (522728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.65 % (522728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.65 % (522728)CaDiCaL version: 2.1.3
% 2.63/0.65 % (522728)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.65 % (522728)Time elapsed: 0.007 s
% 2.63/0.65 % (522728)Peak memory usage: 12 MB
% 2.63/0.65 % (522728)Instructions burned: 13 (million)
% 2.63/0.65 % (522728)------------------------------
% 2.63/0.65 % (522728)------------------------------
% 2.63/0.65 % (522733)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1062408955:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.63/0.65 % (522733)Refutation not found, incomplete strategy
% 2.63/0.65 % (522733)------------------------------
% 2.63/0.65 % (522733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.65 % (522733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.65 % (522733)CaDiCaL version: 2.1.3
% 2.63/0.65 % (522733)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.65 % (522733)Time elapsed: 0.004 s
% 2.63/0.65 % (522733)Peak memory usage: 13 MB
% 2.63/0.65 % (522733)Instructions burned: 14 (million)
% 2.63/0.65 % (522733)------------------------------
% 2.63/0.65 % (522733)------------------------------
% 2.63/0.65 % (522731)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2055972792:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.63/0.65 % (522737)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=3981946662:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.63/0.65 % (522735)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=1571021356:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.85/0.73 % (522716)Instruction limit reached!
% 2.85/0.73 % (522716)------------------------------
% 2.85/0.73 % (522716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522716)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522716)Termination reason: Instruction limit
% 2.85/0.73 % (522716)Termination phase: Saturation
% 2.85/0.73 % (522716)Time elapsed: 0.072 s
% 2.85/0.73 % (522716)Peak memory usage: 13 MB
% 2.85/0.73 % (522716)Instructions burned: 143 (million)
% 2.85/0.73 % (522731)Instruction limit reached!
% 2.85/0.73 % (522731)------------------------------
% 2.85/0.73 % (522731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522731)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522731)Termination reason: Instruction limit
% 2.85/0.73 % (522731)Termination phase: Saturation
% 2.85/0.73 % (522731)Time elapsed: 0.019 s
% 2.85/0.73 % (522731)Peak memory usage: 12 MB
% 2.85/0.73 % (522731)Instructions burned: 22 (million)
% 2.85/0.73 % (522691)Instruction limit reached!
% 2.85/0.73 % (522691)------------------------------
% 2.85/0.73 % (522691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522691)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522691)Termination reason: Instruction limit
% 2.85/0.73 % (522691)Termination phase: Saturation
% 2.85/0.73 % (522691)Time elapsed: 0.161 s
% 2.85/0.73 % (522691)Peak memory usage: 13 MB
% 2.85/0.73 % (522691)Instructions burned: 329 (million)
% 2.85/0.73 % (522741)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=3565512079:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.85/0.73 % (522742)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2234131303:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.85/0.73 % (522744)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4027776675:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.85/0.73 % (522742)Refutation not found, incomplete strategy
% 2.85/0.73 % (522742)------------------------------
% 2.85/0.73 % (522742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522742)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522742)Termination reason: Refutation not found, incomplete strategy
% 2.85/0.73 % (522742)Time elapsed: 0.009 s
% 2.85/0.73 % (522742)Peak memory usage: 12 MB
% 2.85/0.73 % (522742)Instructions burned: 9 (million)
% 2.85/0.73 % (522742)------------------------------
% 2.85/0.73 % (522742)------------------------------
% 2.85/0.73 % (522741)Instruction limit reached!
% 2.85/0.73 % (522741)------------------------------
% 2.85/0.73 % (522741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522741)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522741)Termination reason: Instruction limit
% 2.85/0.73 % (522741)Termination phase: Saturation
% 2.85/0.73 % (522741)Time elapsed: 0.026 s
% 2.85/0.73 % (522741)Peak memory usage: 12 MB
% 2.85/0.73 % (522741)Instructions burned: 46 (million)
% 2.85/0.73 % (522744)Instruction limit reached!
% 2.85/0.73 % (522744)------------------------------
% 2.85/0.73 % (522744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.73 % (522744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.73 % (522744)CaDiCaL version: 2.1.3
% 2.85/0.73 % (522744)Termination reason: Instruction limit
% 2.85/0.73 % (522744)Termination phase: Saturation
% 2.85/0.73 % (522744)Time elapsed: 0.012 s
% 2.85/0.73 % (522744)Peak memory usage: 12 MB
% 2.85/0.73 % (522744)Instructions burned: 22 (million)
% 2.85/0.73 % (522748)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2760643289:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.85/0.80 % (522747)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.85/0.80 % (522748)Instruction limit reached!
% 2.85/0.80 % (522748)------------------------------
% 2.85/0.80 % (522748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.80 % (522748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.80 % (522748)CaDiCaL version: 2.1.3
% 2.85/0.80 % (522748)Termination reason: Instruction limit
% 2.85/0.80 % (522748)Termination phase: Saturation
% 2.85/0.80 % (522748)Time elapsed: 0.007 s
% 2.85/0.80 % (522748)Peak memory usage: 12 MB
% 2.85/0.80 % (522748)Instructions burned: 13 (million)
% 2.85/0.80 % (522749)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=197323923:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.85/0.80 % (522747)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1459738394:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.85/0.80 % (522658)Instruction limit reached!
% 2.85/0.80 % (522658)------------------------------
% 2.85/0.80 % (522658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.80 % (522658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.80 % (522658)CaDiCaL version: 2.1.3
% 2.85/0.80 % (522658)Termination reason: Instruction limit
% 2.85/0.80 % (522658)Termination phase: Saturation
% 2.85/0.80 % (522658)Time elapsed: 0.309 s
% 2.85/0.80 % (522658)Peak memory usage: 15 MB
% 2.85/0.80 % (522658)Instructions burned: 636 (million)
% 2.85/0.80 % (522752)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=937445597:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.85/0.80 % (522752)Refutation not found, incomplete strategy
% 2.85/0.80 % (522752)------------------------------
% 2.85/0.80 % (522752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.80 % (522752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.80 % (522752)CaDiCaL version: 2.1.3
% 2.85/0.80 % (522752)Termination reason: Refutation not found, incomplete strategy
% 2.85/0.80 % (522752)Time elapsed: 0.006 s
% 2.85/0.80 % (522752)Peak memory usage: 12 MB
% 2.85/0.80 % (522752)Instructions burned: 12 (million)
% 2.85/0.80 % (522752)------------------------------
% 2.85/0.80 % (522752)------------------------------
% 2.85/0.80 % (522754)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1497584689:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.85/0.80 % (522749)Instruction limit reached!
% 2.85/0.80 % (522749)------------------------------
% 2.85/0.80 % (522749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.80 % (522749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.80 % (522749)CaDiCaL version: 2.1.3
% 2.85/0.80 % (522749)Termination reason: Instruction limit
% 2.85/0.80 % (522749)Termination phase: Saturation
% 2.85/0.80 % (522749)Time elapsed: 0.035 s
% 2.85/0.80 % (522749)Peak memory usage: 12 MB
% 2.85/0.80 % (522749)Instructions burned: 68 (million)
% 2.85/0.80 % (522756)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=575292319:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.85/0.80 % (522754)Instruction limit reached!
% 2.85/0.80 % (522754)------------------------------
% 2.85/0.80 % (522754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.85/0.80 % (522754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/0.80 % (522754)CaDiCaL version: 2.1.3
% 2.85/0.80 % (522754)Termination reason: Instruction limit
% 2.85/0.80 % (522754)Termination phase: Saturation
% 2.85/0.80 % (522754)Time elapsed: 0.016 s
% 2.85/0.80 % (522754)Peak memory usage: 12 MB
% 2.85/0.80 % (522754)Instructions burned: 33 (million)
% 2.85/0.80 % (522758)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1290645399:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.85/0.80 % (522760)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3524637139:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 4.05/0.94 % (522760)Refutation not found, incomplete strategy
% 4.05/0.94 % (522760)------------------------------
% 4.05/0.94 % (522760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522760)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522760)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.94 % (522760)Time elapsed: 0.006 s
% 4.05/0.94 % (522760)Peak memory usage: 12 MB
% 4.05/0.94 % (522760)Instructions burned: 13 (million)
% 4.05/0.94 % (522760)------------------------------
% 4.05/0.94 % (522760)------------------------------
% 4.05/0.94 % (522758)Instruction limit reached!
% 4.05/0.94 % (522758)------------------------------
% 4.05/0.94 % (522758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522758)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522758)Termination reason: Instruction limit
% 4.05/0.94 % (522758)Termination phase: Saturation
% 4.05/0.94 % (522758)Time elapsed: 0.018 s
% 4.05/0.94 % (522758)Peak memory usage: 12 MB
% 4.05/0.94 % (522758)Instructions burned: 34 (million)
% 4.05/0.94 % (522735)Instruction limit reached!
% 4.05/0.94 % (522735)------------------------------
% 4.05/0.94 % (522735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522735)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522735)Termination reason: Instruction limit
% 4.05/0.94 % (522735)Termination phase: Saturation
% 4.05/0.94 % (522735)Time elapsed: 0.158 s
% 4.05/0.94 % (522735)Peak memory usage: 14 MB
% 4.05/0.94 % (522735)Instructions burned: 318 (million)
% 4.05/0.94 % (522763)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.05/0.94 % (522763)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2434575716:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 4.05/0.94 % (522764)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=697523194:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 4.05/0.94 % (522765)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=891148737:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 4.05/0.94 % (522756)Instruction limit reached!
% 4.05/0.94 % (522756)------------------------------
% 4.05/0.94 % (522756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522756)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522756)Termination reason: Instruction limit
% 4.05/0.94 % (522756)Termination phase: Saturation
% 4.05/0.94 % (522756)Time elapsed: 0.077 s
% 4.05/0.94 % (522756)Peak memory usage: 13 MB
% 4.05/0.94 % (522756)Instructions burned: 139 (million)
% 4.05/0.94 % (522737)Instruction limit reached!
% 4.05/0.94 % (522737)------------------------------
% 4.05/0.94 % (522737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522737)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522737)Termination reason: Instruction limit
% 4.05/0.94 % (522737)Termination phase: Saturation
% 4.05/0.94 % (522737)Time elapsed: 0.220 s
% 4.05/0.94 % (522737)Peak memory usage: 15 MB
% 4.05/0.94 % (522737)Instructions burned: 857 (million)
% 4.05/0.94 % (522769)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1046362215:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 4.05/0.94 % (522769)Refutation not found, incomplete strategy
% 4.05/0.94 % (522769)------------------------------
% 4.05/0.94 % (522769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (522769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (522769)CaDiCaL version: 2.1.3
% 4.05/0.94 % (522769)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.94 % (522769)Time elapsed: 0.004 s
% 4.05/0.94 % (522769)Peak memory usage: 12 MB
% 4.05/0.94 % (522769)Instructions burned: 6 (million)
% 4.05/0.94 % (522765)Instruction limit reached!
% 4.05/0.94 % (522765)------------------------------
% 4.05/0.94 % (522765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522765)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522765)Termination reason: Instruction limit
% 4.05/1.02 % (522765)Termination phase: Saturation
% 4.05/1.02 % (522765)Time elapsed: 0.047 s
% 4.05/1.02 % (522765)Peak memory usage: 12 MB
% 4.05/1.02 % (522765)Instructions burned: 96 (million)
% 4.05/1.02 % (522769)------------------------------
% 4.05/1.02 % (522769)------------------------------
% 4.05/1.02 % (522770)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1574947338:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 4.05/1.02 % (522747)Instruction limit reached!
% 4.05/1.02 % (522747)------------------------------
% 4.05/1.02 % (522747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522747)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522747)Termination reason: Instruction limit
% 4.05/1.02 % (522747)Termination phase: Saturation
% 4.05/1.02 % (522747)Time elapsed: 0.153 s
% 4.05/1.02 % (522747)Peak memory usage: 12 MB
% 4.05/1.02 % (522747)Instructions burned: 203 (million)
% 4.05/1.02 % (522772)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3479816771:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 4.05/1.02 % (522773)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1631060980:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 4.05/1.02 % (522775)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=898165316:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 4.05/1.02 % (522763)Instruction limit reached!
% 4.05/1.02 % (522763)------------------------------
% 4.05/1.02 % (522763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522763)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522763)Termination reason: Instruction limit
% 4.05/1.02 % (522763)Termination phase: Saturation
% 4.05/1.02 % (522763)Time elapsed: 0.088 s
% 4.05/1.02 % (522763)Peak memory usage: 13 MB
% 4.05/1.02 % (522763)Instructions burned: 181 (million)
% 4.05/1.02 % (522775)Instruction limit reached!
% 4.05/1.02 % (522775)------------------------------
% 4.05/1.02 % (522775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522775)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522775)Termination reason: Instruction limit
% 4.05/1.02 % (522775)Termination phase: Saturation
% 4.05/1.02 % (522775)Time elapsed: 0.023 s
% 4.05/1.02 % (522775)Peak memory usage: 12 MB
% 4.05/1.02 % (522775)Instructions burned: 45 (million)
% 4.05/1.02 % (522779)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=506029385:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 4.05/1.02 % (522779)Refutation not found, incomplete strategy
% 4.05/1.02 % (522779)------------------------------
% 4.05/1.02 % (522779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522779)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522779)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.02 % (522779)Time elapsed: 0.005 s
% 4.05/1.02 % (522779)Peak memory usage: 12 MB
% 4.05/1.02 % (522779)Instructions burned: 9 (million)
% 4.05/1.02 % (522779)------------------------------
% 4.05/1.02 % (522779)------------------------------
% 4.05/1.02 % (522764)Instruction limit reached!
% 4.05/1.02 % (522764)------------------------------
% 4.05/1.02 % (522764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522764)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522764)Termination reason: Instruction limit
% 4.05/1.02 % (522764)Termination phase: Saturation
% 4.05/1.02 % (522764)Time elapsed: 0.118 s
% 4.05/1.02 % (522764)Peak memory usage: 12 MB
% 4.05/1.02 % (522764)Instructions burned: 246 (million)
% 4.05/1.02 % (522781)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=72250991:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 4.05/1.02 % (522782)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2364224079:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 4.05/1.02 % (522783)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=1997606451:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 4.05/1.02 % (522783)Instruction limit reached!
% 4.05/1.02 % (522783)------------------------------
% 4.05/1.02 % (522783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522783)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522783)Termination reason: Instruction limit
% 4.05/1.02 % (522783)Termination phase: Saturation
% 4.05/1.02 % (522783)Time elapsed: 0.035 s
% 4.05/1.02 % (522783)Peak memory usage: 12 MB
% 4.05/1.02 % (522783)Instructions burned: 66 (million)
% 4.05/1.02 % (522782)Instruction limit reached!
% 4.05/1.02 % (522782)------------------------------
% 4.05/1.02 % (522782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522782)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522782)Termination reason: Instruction limit
% 4.05/1.02 % (522782)Termination phase: Saturation
% 4.05/1.02 % (522782)Time elapsed: 0.042 s
% 4.05/1.02 % (522782)Peak memory usage: 12 MB
% 4.05/1.02 % (522782)Instructions burned: 95 (million)
% 4.05/1.02 % (522773)Instruction limit reached!
% 4.05/1.02 % (522773)------------------------------
% 4.05/1.02 % (522773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522773)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522773)Termination reason: Instruction limit
% 4.05/1.02 % (522773)Termination phase: Saturation
% 4.05/1.02 % (522773)Time elapsed: 0.112 s
% 4.05/1.02 % (522773)Peak memory usage: 12 MB
% 4.05/1.02 % (522773)Instructions burned: 130 (million)
% 4.05/1.02 % (522787)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2656497120:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 4.05/1.02 % (522788)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=31222365:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 4.05/1.02 % (522789)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=927482486:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 4.05/1.02 % (522789)Refutation not found, incomplete strategy
% 4.05/1.02 % (522789)------------------------------
% 4.05/1.02 % (522789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522789)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522789)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.02 % (522789)Time elapsed: 0.006 s
% 4.05/1.02 % (522789)Peak memory usage: 13 MB
% 4.05/1.02 % (522789)Instructions burned: 11 (million)
% 4.05/1.02 % (522789)------------------------------
% 4.05/1.02 % (522789)------------------------------
% 4.05/1.02 % (522793)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4185519897:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 4.05/1.02 % (522787)Instruction limit reached!
% 4.05/1.02 % (522787)------------------------------
% 4.05/1.02 % (522787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522787)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522787)Termination reason: Instruction limit
% 4.05/1.02 % (522787)Termination phase: Saturation
% 4.05/1.02 % (522787)Time elapsed: 0.056 s
% 4.05/1.02 % (522787)Peak memory usage: 13 MB
% 4.05/1.02 % (522787)Instructions burned: 106 (million)
% 4.05/1.02 % (522795)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1652189102:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.05/1.02 % (522770)Instruction limit reached!
% 4.05/1.02 % (522770)------------------------------
% 4.05/1.02 % (522770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522770)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522770)Termination reason: Instruction limit
% 4.05/1.02 % (522770)Termination phase: Saturation
% 4.05/1.02 % (522770)Time elapsed: 0.226 s
% 4.05/1.02 % (522770)Peak memory usage: 14 MB
% 4.05/1.02 % (522770)Instructions burned: 875 (million)
% 4.05/1.02 % (522795)Instruction limit reached!
% 4.05/1.02 % (522795)------------------------------
% 4.05/1.02 % (522795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522795)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522795)Termination reason: Instruction limit
% 4.05/1.02 % (522795)Termination phase: Saturation
% 4.05/1.02 % (522795)Time elapsed: 0.018 s
% 4.05/1.02 % (522795)Peak memory usage: 12 MB
% 4.05/1.02 % (522795)Instructions burned: 34 (million)
% 4.05/1.02 % (522797)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1483349973:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 4.05/1.02 % (522798)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3975237547:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 4.05/1.02 % (522798)Refutation not found, incomplete strategy
% 4.05/1.02 % (522798)------------------------------
% 4.05/1.02 % (522798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522798)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522798)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.02 % (522798)Time elapsed: 0.004 s
% 4.05/1.02 % (522798)Peak memory usage: 12 MB
% 4.05/1.02 % (522798)Instructions burned: 6 (million)
% 4.05/1.02 % (522798)------------------------------
% 4.05/1.02 % (522798)------------------------------
% 4.05/1.02 % (522797)Instruction limit reached!
% 4.05/1.02 % (522797)------------------------------
% 4.05/1.02 % (522797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522797)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522797)Termination reason: Instruction limit
% 4.05/1.02 % (522797)Termination phase: Saturation
% 4.05/1.02 % (522797)Time elapsed: 0.026 s
% 4.05/1.02 % (522797)Peak memory usage: 13 MB
% 4.05/1.02 % (522797)Instructions burned: 94 (million)
% 4.05/1.02 % (522772)Instruction limit reached!
% 4.05/1.02 % (522772)------------------------------
% 4.05/1.02 % (522772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522772)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522772)Termination reason: Instruction limit
% 4.05/1.02 % (522772)Termination phase: Saturation
% 4.05/1.02 % (522772)Time elapsed: 0.255 s
% 4.05/1.02 % (522772)Peak memory usage: 14 MB
% 4.05/1.02 % (522772)Instructions burned: 515 (million)
% 4.05/1.02 % (522802)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=796279066:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 4.05/1.02 % (522781) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-522650-522781"...
% 4.05/1.02 % (522801)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4244567601:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 4.05/1.02 % (522781)...printing done.
% 4.05/1.02 % (522781)Refutation found. Thanks to Tanya!
% 4.05/1.02 % SZS status Theorem for theBenchmark
% 4.05/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.02 % (522781)------------------------------
% 4.05/1.02 % (522781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.02 % (522781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.02 % (522781)CaDiCaL version: 2.1.3
% 4.05/1.02 % (522781)Termination reason: Refutation
% 4.05/1.02 % (522781)Time elapsed: 0.213 s
% 4.05/1.02 % (522781)Peak memory usage: 14 MB
% 4.05/1.02 % (522781)Instructions burned: 450 (million)
% 4.05/1.02 % (522650)Success in time 0.77 s
% 4.05/1.02 % Vampire exiting
%------------------------------------------------------------------------------