%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT027^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 07:44:36 AM UTC 2026
% Result : Theorem 12.57s 2.07s
% Output : Refutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 21
% Syntax : Number of formulae : 250 ( 127 unt; 0 typ; 4 def)
% Number of atoms : 1904 ( 458 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 3118 ( 344 ~; 481 |; 0 &;2116 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 276 ( 276 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 64 usr; 10 con; 0-4 aty)
% ( 173 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 823 ( 0 sgn 355 !; 0 ?; 823 :)
% 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,
a1: $i > $i > $o ).
thf(func_def_33,type,
a2: $i > $i > $o ).
thf(func_def_34,type,
a: mu ).
thf(func_def_35,type,
tom: mu ).
thf(func_def_36,type,
p: mu > $i > $o ).
thf(func_def_37,type,
q: mu > $i > $o ).
thf(func_def_38,type,
r: mu > $i > $o ).
thf(func_def_39,type,
s: mu > $i > $o ).
thf(func_def_40,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_44,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
vNOT: $o > $o ).
thf(func_def_46,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_47,type,
vIMP: $o > $o > $o ).
thf(func_def_48,type,
vAND: $o > $o > $o ).
thf(func_def_49,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
vOR: $o > $o > $o ).
thf(func_def_52,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_53,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
sK1: mu > $i ).
thf(func_def_57,type,
sK2: $i > $i ).
thf(func_def_58,type,
sK3: $i > ( $i > $o ) > $i ).
thf(func_def_59,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_60,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_62,type,
sK7: $i > ( $i > $o ) > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f5,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mand) ).
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(f10,axiom,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
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(f12,axiom,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
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(f17,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) )
= mdia ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( mdia @ a2 @ ( q @ X0 ) ) @ ( p @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1) ).
thf(f33,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( mimplies @ ( mand @ ( r @ X0 ) @ ( s @ X0 ) ) @ ( q @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2) ).
thf(f34,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( mimplies @ ( s @ X0 ) @ ( mbox @ a1 @ ( r @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3) ).
thf(f35,axiom,
mvalid @ ( mdia @ a1 @ ( s @ a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a4) ).
thf(f38,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ a2 @ X0 ) @ ( mbox @ a1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_a2_a1) ).
thf(f43,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a1 @ X0 ) ) @ ( mbox @ a1 @ ( mnot @ ( mbox @ a1 @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_a1) ).
thf(f45,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( p @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f46,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( p @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
thf(f49,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( mimplies @ ( mand @ ( r @ X0 ) @ ( s @ X0 ) ) @ ( q @ X0 ) ) ) ) ),
inference(rectify,[],[f33]) ).
thf(f50,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( mimplies @ ( mand @ ( r @ Y0 ) @ ( s @ Y0 ) ) @ ( q @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f49]) ).
thf(f51,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f52,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f53,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f67,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f12]) ).
thf(f68,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f67]) ).
thf(f69,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( mimplies @ ( s @ X0 ) @ ( mbox @ a1 @ ( r @ X0 ) ) ) ) ) ),
inference(rectify,[],[f34]) ).
thf(f70,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( mimplies @ ( s @ Y0 ) @ ( mbox @ a1 @ ( r @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f69]) ).
thf(f73,plain,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f74,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f73]) ).
thf(f76,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f77,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f76]) ).
thf(f81,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ a1 @ ( p @ X0 ) ) ) ),
inference(rectify,[],[f46]) ).
thf(f82,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( p @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f85,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f86,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f91,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f92,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f93,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f92]) ).
thf(f101,plain,
mvalid @ ( mdia @ a1 @ ( s @ a ) ),
inference(rectify,[],[f35]) ).
thf(f102,plain,
( ( mvalid @ ( mdia @ a1 @ ( s @ a ) ) )
= $true ),
inference(fool_elimination,[],[f101]) ).
thf(f104,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f105,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( mdia @ a2 @ ( q @ X0 ) ) @ ( p @ X0 ) ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f106,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( mdia @ a2 @ ( q @ Y0 ) ) @ ( p @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f105]) ).
thf(f107,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f108,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f107]) ).
thf(f117,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a1 @ X0 ) ) @ ( mbox @ a1 @ ( mnot @ ( mbox @ a1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f43]) ).
thf(f118,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a1 @ Y0 ) ) @ ( mbox @ a1 @ ( mnot @ ( mbox @ a1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f117]) ).
thf(f123,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ a2 @ X0 ) @ ( mbox @ a1 @ X0 ) ) ) ),
inference(rectify,[],[f38]) ).
thf(f124,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ a2 @ Y0 ) @ ( mbox @ a1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f123]) ).
thf(f136,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( mimplies @ ( s @ Y0 ) @ ( mbox @ a1 @ ( r @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f70]) ).
thf(f142,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f77]) ).
thf(f143,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a1 @ Y0 ) ) @ ( mbox @ a1 @ ( mnot @ ( mbox @ a1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f118]) ).
thf(f144,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( p @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f82]) ).
thf(f147,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f149,plain,
( ( mvalid @ ( mdia @ a1 @ ( s @ a ) ) )
= $true ),
inference(cnf_transformation,[],[f102]) ).
thf(f150,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a1 @ ( mimplies @ ( mand @ ( r @ Y0 ) @ ( s @ Y0 ) ) @ ( q @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f152,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( mdia @ a2 @ ( q @ Y0 ) ) @ ( p @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f106]) ).
thf(f153,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f155,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f104]) ).
thf(f158,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f160,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f91]) ).
thf(f161,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ a2 @ Y0 ) @ ( mbox @ a1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f162,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f74]) ).
thf(f167,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f108]) ).
thf(f168,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f93]) ).
thf(f171,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f174,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f153,f147,f168,f147,f147]) ).
thf(f175,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f155,f168,f147]) ).
thf(f179,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f171,f147,f158,f147]) ).
thf(f182,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f160,f147,f142,f147]) ).
thf(f184,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( s @ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ ( r @ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f136,f167,f158,f142,f175,f142]) ).
thf(f185,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] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ Y0 ) )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f143,f167,f162,f175,f147,f142,f142,f147,f142]) ).
thf(f186,plain,
( ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ ( p @ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f144,f167,f179,f142]) ).
thf(f189,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a1
@ ( s @ a ) ) ) ),
inference(definition_unfolding,[],[f149,f167,f182]) ).
thf(f190,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ ( r @ Y0 )
@ ( s @ Y0 ) )
@ ( q @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f150,f167,f158,f142,f175,f174]) ).
thf(f192,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a2
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ a2
@ ( q @ Y0 ) )
@ ( p @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f152,f167,f158,f142,f175,f182]) ).
thf(f195,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] :
( ( Y4 @ Y5 )
| ( Y3 @ 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 ) ) )
@ a2
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a1
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f161,f167,f162,f175,f142,f142]) ).
thf(f197,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ~ ( q @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f198,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ~ ( q @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f197]) ).
thf(f203,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f186]) ).
thf(f204,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f195]) ).
thf(f206,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( q @ Y1 @ Y2 )
| ~ ~ ( ~ ( s @ Y1 @ Y2 )
| ~ ( r @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f190]) ).
thf(f207,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( q @ Y1 @ Y2 )
| ~ ( s @ Y1 @ Y2 )
| ~ ( r @ Y1 @ Y2 ) ) ) ) ) ),
inference(boolean_simplification,[],[f206]) ).
thf(f208,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( r @ Y1 @ Y3 ) ) )
| ~ ( s @ Y1 @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f184]) ).
thf(f209,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f185]) ).
thf(f210,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f209]) ).
thf(f212,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ~ ( s @ a @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f189]) ).
thf(f215,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f203]) ).
thf(f216,plain,
( ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f215]) ).
thf(f217,plain,
( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ sK0 @ Y1 )
| ( p @ Y0 @ Y1 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f218,plain,
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ sK0 @ Y1 )
| ( p @ Y0 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ sK0 @ Y1 )
| ( p @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X1: mu] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK0 @ Y0 )
| ( p @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f219]) ).
thf(f221,plain,
! [X1: mu] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK0 @ Y0 )
| ( p @ X1 @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f220]) ).
thf(f222,plain,
! [X1: mu] :
( ( ^ [Y0: $i] :
( ~ ( a1 @ sK0 @ Y0 )
| ( p @ X1 @ Y0 ) )
@ ( sK1 @ X1 ) )
= $false ),
inference(sigma_proxy_clausification,[],[f221]) ).
thf(f223,plain,
! [X1: mu] :
( ( ~ ( a1 @ sK0 @ ( sK1 @ X1 ) )
| ( p @ X1 @ ( sK1 @ X1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f222]) ).
thf(f224,plain,
! [X1: mu] :
( ( p @ X1 @ ( sK1 @ X1 ) )
= $false ),
inference(or_proxy_clausification,[],[f223]) ).
thf(f225,plain,
! [X1: mu] :
( $false
= ( ~ ( a1 @ sK0 @ ( sK1 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f223]) ).
thf(f226,plain,
! [X1: mu] :
( $true
= ( a1 @ sK0 @ ( sK1 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f225]) ).
thf(f240,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ~ ( s @ a @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f212]) ).
thf(f241,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( s @ a @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f240]) ).
thf(f242,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( s @ a @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f241]) ).
thf(f243,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( s @ a @ Y0 ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f242]) ).
thf(f245,plain,
! [X1: $i] :
( $false
= ( ~ ( a1 @ X1 @ ( sK2 @ X1 ) )
| ~ ( s @ a @ ( sK2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f243]) ).
thf(f247,plain,
! [X1: $i] :
( ( ~ ( s @ a @ ( sK2 @ X1 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f245]) ).
thf(f248,plain,
! [X1: $i] :
( ( ~ ( a1 @ X1 @ ( sK2 @ X1 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f245]) ).
thf(f249,plain,
! [X1: $i] :
( ( a1 @ X1 @ ( sK2 @ X1 ) )
= $true ),
inference(not_proxy_clausification,[],[f248]) ).
thf(f250,plain,
! [X1: $i] :
( $true
= ( s @ a @ ( sK2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f247]) ).
thf(f251,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( q @ Y1 @ Y2 )
| ~ ( s @ Y1 @ Y2 )
| ~ ( r @ Y1 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f207]) ).
thf(f252,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( q @ Y0 @ Y1 )
| ~ ( s @ Y0 @ Y1 )
| ~ ( r @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f251]) ).
thf(f253,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( q @ Y0 @ Y1 )
| ~ ( s @ Y0 @ Y1 )
| ~ ( r @ Y0 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f252]) ).
thf(f254,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( q @ X2 @ Y0 )
| ~ ( s @ X2 @ Y0 )
| ~ ( r @ X2 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f253]) ).
thf(f255,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( q @ X2 @ Y0 )
| ~ ( s @ X2 @ Y0 )
| ~ ( r @ X2 @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f254]) ).
thf(f256,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ~ ( a1 @ X1 @ X3 )
| ( q @ X2 @ X3 )
| ~ ( s @ X2 @ X3 )
| ~ ( r @ X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f255]) ).
thf(f257,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ( q @ X2 @ X3 )
| ~ ( s @ X2 @ X3 )
| ~ ( r @ X2 @ X3 ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f256]) ).
thf(f258,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( s @ X2 @ X3 )
| ~ ( r @ X2 @ X3 ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) )
| ( $true
= ( q @ X2 @ X3 ) ) ),
inference(or_proxy_clausification,[],[f257]) ).
thf(f259,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( s @ X2 @ X3 ) ) )
| ( $true
= ( ~ ( r @ X2 @ X3 ) ) )
| ( $true
= ( q @ X2 @ X3 ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f258]) ).
thf(f260,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( s @ X2 @ X3 ) )
| ( $true
= ( q @ X2 @ X3 ) )
| ( $true
= ( ~ ( r @ X2 @ X3 ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f259]) ).
thf(f261,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( s @ X2 @ X3 ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) )
| ( $false
= ( r @ X2 @ X3 ) )
| ( $true
= ( q @ X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f260]) ).
thf(f262,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( q @ X2 @ X3 ) )
| ( $false
= ( s @ X2 @ X3 ) )
| ( $false
= ( r @ X2 @ X3 ) )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f261]) ).
thf(f263,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f204]) ).
thf(f264,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f263]) ).
thf(f265,plain,
! [X2: $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f264]) ).
thf(f266,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f265]) ).
thf(f267,plain,
! [X2: $i > $o,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f266]) ).
thf(f268,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f267]) ).
thf(f269,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f268]) ).
thf(f270,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 )
| ( X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f271,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( X2 @ X3 )
= $true ) ),
inference(or_proxy_clausification,[],[f270]) ).
thf(f272,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(not_proxy_clausification,[],[f271]) ).
thf(f273,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( ( X2 @ X3 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f272]) ).
thf(f276,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( X2 @ X3 )
= $true )
| ( $false
= ( ~ ( a2 @ X1 @ ( sK3 @ X1 @ X2 ) )
| ( X2 @ ( sK3 @ X1 @ X2 ) ) ) )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(beta-eta_normalization,[],[f273]) ).
thf(f277,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( X2 @ ( sK3 @ X1 @ X2 ) ) )
| ( ( X2 @ X3 )
= $true )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f276]) ).
thf(f278,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( ~ ( a2 @ X1 @ ( sK3 @ X1 @ X2 ) ) )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f276]) ).
thf(f279,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( a2 @ X1 @ ( sK3 @ X1 @ X2 ) )
= $true )
| ( ( X2 @ X3 )
= $true )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f278]) ).
thf(f280,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( p @ Y1 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ~ ( q @ Y1 @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f198]) ).
thf(f281,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( p @ Y0 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ~ ( q @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f280]) ).
thf(f282,plain,
! [X0: $i,X1: $i] :
( ( ( sK3 @ X0
@ ^ [Y0: $i] : ( Y0 != X1 ) )
= X1 )
| ( ( a1 @ X0 @ X1 )
= $false ) ),
inference(leibniz_equality_elimination,[],[f277]) ).
thf(f300,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( p @ Y0 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ~ ( q @ Y0 @ Y2 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f281]) ).
thf(f301,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( p @ X2 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ~ ( q @ X2 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f300]) ).
thf(f302,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( p @ X2 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ~ ( q @ X2 @ Y1 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f301]) ).
thf(f303,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X3 )
| ( p @ X2 @ X3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X3 @ Y0 )
| ~ ( q @ X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f302]) ).
thf(f304,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ( ~ ( a2 @ X1 @ X3 ) )
= $true )
| ( $true
= ( ( p @ X2 @ X3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X3 @ Y0 )
| ~ ( q @ X2 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f303]) ).
thf(f305,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ( p @ X2 @ X3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X3 @ Y0 )
| ~ ( q @ X2 @ Y0 ) ) ) ) )
| ( $false
= ( a2 @ X1 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f304]) ).
thf(f306,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X3 @ Y0 )
| ~ ( q @ X2 @ Y0 ) ) )
= $true )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( p @ X2 @ X3 ) ) ),
inference(or_proxy_clausification,[],[f305]) ).
thf(f313,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( p @ X2 @ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X3 @ Y0 )
| ~ ( q @ X2 @ Y0 ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f306]) ).
thf(f314,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( p @ X2 @ X3 ) )
| ( ( ~ ( a2 @ X3 @ X4 )
| ~ ( q @ X2 @ X4 ) )
= $true )
| ( $false
= ( a2 @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f313]) ).
thf(f315,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( p @ X2 @ X3 ) )
| ( $true
= ( ~ ( a2 @ X3 @ X4 ) ) )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( ~ ( q @ X2 @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f314]) ).
thf(f316,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( a2 @ X3 @ X4 ) )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( ~ ( q @ X2 @ X4 ) ) )
| ( $true
= ( p @ X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f315]) ).
thf(f317,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( p @ X2 @ X3 ) )
| ( $false
= ( a2 @ X3 @ X4 ) )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( ( q @ X2 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f316]) ).
thf(f318,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( $true = $false )
| ( ( a2 @ ( sK1 @ X0 ) @ X1 )
= $false )
| ( ( a2 @ X2 @ ( sK1 @ X0 ) )
= $false )
| ( ( q @ X0 @ X1 )
= $false ) ),
inference(superposition,[],[f317,f224]) ).
thf(f322,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( ( a2 @ ( sK1 @ X0 ) @ X1 )
= $false )
| ( ( a2 @ X2 @ ( sK1 @ X0 ) )
= $false )
| ( ( q @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f328,plain,
! [X2: $i,X3: $i,X0: mu,X1: $i > $o] :
( ( ( q @ X0 @ ( sK3 @ ( sK1 @ X0 ) @ X1 ) )
= $false )
| ( $false
= ( a2 @ X3 @ ( sK1 @ X0 ) ) )
| ( $true = $false )
| ( ( a1 @ ( sK1 @ X0 ) @ X2 )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(superposition,[],[f279,f322]) ).
thf(f331,plain,
! [X2: $i,X3: $i,X0: mu,X1: $i > $o] :
( ( ( q @ X0 @ ( sK3 @ ( sK1 @ X0 ) @ X1 ) )
= $false )
| ( $false
= ( a2 @ X3 @ ( sK1 @ X0 ) ) )
| ( ( a1 @ ( sK1 @ X0 ) @ X2 )
= $false )
| ( ( X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f336,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( r @ Y1 @ Y3 ) ) )
| ~ ( s @ Y1 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f208]) ).
thf(f337,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( r @ Y0 @ Y2 ) ) )
| ~ ( s @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f336]) ).
thf(f345,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( r @ Y0 @ Y2 ) ) )
| ~ ( s @ Y0 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f337]) ).
thf(f346,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( r @ X2 @ Y1 ) ) )
| ~ ( s @ X2 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f345]) ).
thf(f350,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( r @ X2 @ Y1 ) ) )
| ~ ( s @ X2 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f346]) ).
thf(f351,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ~ ( a1 @ X1 @ X3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) ) )
| ~ ( s @ X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f350]) ).
thf(f352,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) ) )
| ~ ( s @ X2 @ X3 ) )
= $true )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f351]) ).
thf(f353,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( s @ X2 @ X3 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f352]) ).
thf(f354,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) )
| ( $false
= ( s @ X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f353]) ).
thf(f355,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( s @ X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f354]) ).
thf(f356,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( r @ X2 @ Y0 ) )
@ X4 ) )
| ( $false
= ( s @ X2 @ X3 ) ) ),
inference(pi_proxy_clausification,[],[f355]) ).
thf(f357,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ X3 )
= $false )
| ( $true
= ( ~ ( a1 @ X3 @ X4 )
| ( r @ X2 @ X4 ) ) )
| ( $false
= ( s @ X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f356]) ).
thf(f358,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( s @ X2 @ X3 ) )
| ( ( ~ ( a1 @ X3 @ X4 ) )
= $true )
| ( $true
= ( r @ X2 @ X4 ) )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f357]) ).
thf(f359,plain,
! [X2: mu,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( r @ X2 @ X4 ) )
| ( $false
= ( s @ X2 @ X3 ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( ( a1 @ X3 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f358]) ).
thf(f360,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ X0 ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X2 ) )
| ( $true
= ( a2 @ X1 @ X0 ) ) ),
inference(superposition,[],[f279,f282]) ).
thf(f363,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( $false
= ( a2 @ X2 @ ( sK1 @ X1 ) ) )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( ( a1 @ ( sK1 @ X1 ) @ X0 )
= $false )
| ( $false
= ( q @ X1 @ X0 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X3 ) ) ),
inference(superposition,[],[f331,f282]) ).
thf(f367,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( $false
= ( q @ X1 @ X0 ) )
| ( $false
= ( a2 @ X2 @ ( sK1 @ X1 ) ) )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( $true
= ( X3 != X0 ) )
| ( ( a1 @ ( sK1 @ X1 ) @ X0 )
= $false ) ),
inference(beta-eta_normalization,[],[f363]) ).
thf(f369,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a2 @ X1 @ X0 ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( ( X2 != X0 )
= $true )
| ( $false
= ( a1 @ X1 @ X0 ) ) ),
inference(beta-eta_normalization,[],[f360]) ).
thf(f370,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( $false
= ( a2 @ X2 @ ( sK1 @ X1 ) ) )
| ( $false
= ( q @ X1 @ X0 ) )
| ( $false
= ( X3 = X0 ) )
| ( ( a1 @ ( sK1 @ X1 ) @ X0 )
= $false ) ),
inference(not_proxy_clausification,[],[f367]) ).
thf(f372,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( $true
= ( a2 @ X1 @ X0 ) )
| ( ( X2 = X0 )
= $false )
| ( $false
= ( a1 @ X1 @ X0 ) ) ),
inference(not_proxy_clausification,[],[f369]) ).
thf(f373,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( $false
= ( a2 @ X2 @ ( sK1 @ X1 ) ) )
| ( $false
= ( q @ X1 @ X0 ) )
| ( ( a1 @ ( sK1 @ X1 ) @ X0 )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( X0 != X3 ) ),
inference(equality_proxy_clausification,[],[f370]) ).
thf(f375,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a2 @ X1 @ X0 ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( $false
= ( a1 @ X1 @ X0 ) )
| ( X0 != X2 ) ),
inference(equality_proxy_clausification,[],[f372]) ).
thf(f393,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu,X4: $i] :
( ( X2 != X3 )
| ( ( q @ X1 @ X2 )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( ( sK1 @ X1 )
!= X4 )
| ( $true = $false )
| ( ( a1 @ X0 @ ( sK1 @ X1 ) )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X2 ) )
| ( ( a1 @ X0 @ X4 )
= $false ) ),
inference(superposition,[],[f373,f375]) ).
thf(f397,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu,X4: $i] :
( ( ( sK1 @ X1 )
!= X4 )
| ( ( a1 @ X0 @ X4 )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X2 ) )
| ( ( q @ X1 @ X2 )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( ( a1 @ X0 @ ( sK1 @ X1 ) )
= $false )
| ( X2 != X3 ) ),
inference(trivial_inequality_removal,[],[f393]) ).
thf(f425,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( ( a1 @ X0 @ ( sK1 @ X1 ) )
= $false )
| ( ( a1 @ X0 @ ( sK1 @ X1 ) )
= $false )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X2 ) )
| ( ( q @ X1 @ X2 )
= $false )
| ( X2 != X3 )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) ) ),
inference(equality_resolution,[],[f397]) ).
thf(f426,plain,
! [X2: $i,X3: $i,X0: $i,X1: mu] :
( ( $false
= ( a1 @ ( sK1 @ X1 ) @ X3 ) )
| ( $false
= ( a1 @ ( sK1 @ X1 ) @ X2 ) )
| ( ( a1 @ X0 @ ( sK1 @ X1 ) )
= $false )
| ( ( q @ X1 @ X2 )
= $false )
| ( X2 != X3 ) ),
inference(duplicate_literal_removal,[],[f425]) ).
thf(f437,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( ( q @ X0 @ X1 )
= $false )
| ( X1 != X1 )
| ( $false != $false )
| ( $false
= ( a1 @ ( sK1 @ X0 ) @ X1 ) )
| ( $false
= ( a1 @ X2 @ ( sK1 @ X0 ) ) ) ),
inference(equality_factoring,[],[f426]) ).
thf(f441,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( $false
= ( a1 @ ( sK1 @ X0 ) @ X1 ) )
| ( $false
= ( a1 @ X2 @ ( sK1 @ X0 ) ) )
| ( ( q @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f437]) ).
thf(f446,plain,
! [X0: mu,X1: $i] :
( ( ( q @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) )
= $false )
| ( $true = $false )
| ( $false
= ( a1 @ X1 @ ( sK1 @ X0 ) ) ) ),
inference(superposition,[],[f249,f441]) ).
thf(f448,plain,
! [X0: mu,X1: $i] :
( ( ( q @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f446]) ).
thf(f452,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( ( a1 @ X2 @ ( sK2 @ ( sK1 @ X0 ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK1 @ X0 ) ) )
| ( $false
= ( s @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) ) )
| ( $false
= ( r @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) ) )
| ( $true = $false ) ),
inference(superposition,[],[f448,f262]) ).
thf(f455,plain,
! [X2: $i,X0: mu,X1: $i] :
( ( $false
= ( s @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) ) )
| ( $false
= ( r @ X0 @ ( sK2 @ ( sK1 @ X0 ) ) ) )
| ( ( a1 @ X2 @ ( sK2 @ ( sK1 @ X0 ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f479,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( a1 @ X1 @ ( sK1 @ a ) )
= $false )
| ( ( r @ a @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) ),
inference(superposition,[],[f455,f250]) ).
thf(f484,plain,
! [X0: $i,X1: $i] :
( ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( ( r @ a @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( ( a1 @ X1 @ ( sK1 @ a ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f479]) ).
thf(f486,definition,
( spl6_1
<=> ( ( r @ a @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f488,plain,
( ( ( r @ a @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f486]) ).
thf(f490,definition,
( spl6_2
<=> ! [X0: $i] :
( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f491,plain,
( ! [X0: $i] :
( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f490]) ).
thf(f493,definition,
( spl6_3
<=> ! [X1: $i] :
( ( a1 @ X1 @ ( sK1 @ a ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f494,plain,
( ! [X1: $i] :
( ( a1 @ X1 @ ( sK1 @ a ) )
= $false )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f493]) ).
thf(f496,plain,
( spl6_2
| spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f484,f493,f486,f490]) ).
thf(f499,plain,
( ( $true = $false )
| ~ spl6_2 ),
inference(superposition,[],[f249,f491]) ).
thf(f503,plain,
( $false
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f499]) ).
thf(f504,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f503]) ).
thf(f538,plain,
( ( $true = $false )
| ~ spl6_3 ),
inference(superposition,[],[f494,f226]) ).
thf(f544,plain,
( $false
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f538]) ).
thf(f545,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[],[f544]) ).
thf(f548,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( s @ a @ X0 ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ X0 ) ) )
| ~ spl6_1 ),
inference(superposition,[],[f359,f488]) ).
thf(f549,plain,
( ! [X0: $i,X1: $i] :
( ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ X0 ) )
| ( $false
= ( s @ a @ X0 ) ) )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f548]) ).
thf(f571,plain,
( ( $false
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $false != $false )
| ( $false
= ( s @ a @ ( sK2 @ ( sK1 @ a ) ) ) )
| ~ spl6_1 ),
inference(equality_factoring,[],[f549]) ).
thf(f575,plain,
( ( $false
= ( s @ a @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $false
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ ( sK2 @ ( sK1 @ a ) ) ) )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f571]) ).
thf(f582,plain,
( ( $false
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $true = $false )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f575,f250]) ).
thf(f583,plain,
( ( $false
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ ( sK2 @ ( sK1 @ a ) ) ) )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f641,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f210]) ).
thf(f642,plain,
! [X1: $i] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f641]) ).
thf(f666,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f642]) ).
thf(f667,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f666]) ).
thf(f668,plain,
! [X2: $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f667]) ).
thf(f690,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( X2 @ Y1 ) ) ) )
@ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f668]) ).
thf(f691,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( ~ ( a1 @ X1 @ X3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f690]) ).
thf(f692,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) ) )
= $true )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f691]) ).
thf(f693,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( a1 @ X1 @ X3 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f692]) ).
thf(f694,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f693]) ).
thf(f711,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X4 ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f694]) ).
thf(f712,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( ~ ( a1 @ X1 @ X4 )
| ( X2 @ X4 ) )
= $true )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f711]) ).
thf(f713,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( X2 @ X4 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false )
| ( $true
= ( ~ ( a1 @ X1 @ X4 ) ) )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f712]) ).
thf(f714,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) ) )
= $false )
| ( $true
= ( X2 @ X4 ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( a1 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f713]) ).
thf(f721,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( a1 @ X3 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK7 @ X3 @ X2 ) )
= $false )
| ( $false
= ( a1 @ X1 @ X4 ) )
| ( $true
= ( X2 @ X4 ) )
| ( ( a1 @ X1 @ X3 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f714]) ).
thf(f723,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( ~ ( a1 @ X3 @ ( sK7 @ X3 @ X2 ) )
| ( X2 @ ( sK7 @ X3 @ X2 ) ) ) )
| ( $true
= ( X2 @ X4 ) )
| ( $false
= ( a1 @ X1 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f721]) ).
thf(f725,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( X2 @ ( sK7 @ X3 @ X2 ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( a1 @ X1 @ X4 ) )
| ( $true
= ( X2 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f723]) ).
thf(f726,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ~ ( a1 @ X3 @ ( sK7 @ X3 @ X2 ) ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X4 ) )
| ( $false
= ( a1 @ X1 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f723]) ).
thf(f727,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( a1 @ X3 @ ( sK7 @ X3 @ X2 ) ) )
| ( ( a1 @ X1 @ X3 )
= $false )
| ( $false
= ( a1 @ X1 @ X4 ) )
| ( $true
= ( X2 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f726]) ).
thf(f1188,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( $true
= ( a1 @ X0 @ X2 ) )
| ( $false
= ( a1 @ X1 @ X0 ) )
| ( ( a1 @ X3 @ X4 )
= $false )
| ( $true
= ( a1 @ X0 @ X4 ) )
| ( ( a1 @ X3 @ X0 )
= $false )
| ( $true = $false ) ),
inference(superposition,[],[f727,f725]) ).
thf(f1208,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( a1 @ X0 @ X4 ) )
| ( ( a1 @ X3 @ X4 )
= $false )
| ( $false
= ( a1 @ X1 @ X0 ) )
| ( $true
= ( a1 @ X0 @ X2 ) )
| ( ( a1 @ X3 @ X0 )
= $false )
| ( ( a1 @ X1 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1188]) ).
thf(f4755,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ X2 ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $true = $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) ) )
| ~ spl6_1 ),
inference(superposition,[],[f583,f1208]) ).
thf(f4823,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $true = $false )
| ( $true
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ X2 ) ) )
| ~ spl6_1 ),
inference(duplicate_literal_removal,[],[f4755]) ).
thf(f4824,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ X2 ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) ) )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f4823]) ).
thf(f4855,definition,
( spl6_5
<=> ! [X2: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( $true
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
thf(f4856,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( a1 @ ( sK2 @ ( sK1 @ a ) ) @ X2 ) )
| ( ( a1 @ X1 @ X2 )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) ) )
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f4855]) ).
thf(f4858,plain,
( spl6_5
| spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f4824,f486,f490,f4855]) ).
thf(f4867,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( s @ a @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f4856,f549]) ).
thf(f4902,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( s @ a @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $true = $false ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f4867]) ).
thf(f4903,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( $false
= ( s @ a @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f4902]) ).
thf(f4923,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false )
| ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f4903,f250]) ).
thf(f4924,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ ( sK2 @ ( sK1 @ a ) ) ) )
| ( ( a1 @ X0 @ ( sK2 @ ( sK1 @ a ) ) )
= $false ) )
| ~ spl6_1
| ~ spl6_5 ),
inference(trivial_inequality_removal,[],[f4923]) ).
thf(f4926,plain,
( spl6_2
| spl6_2
| ~ spl6_1
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f4924,f4855,f486,f490,f490]) ).
cnf(s2,plain,
( spl6_1
| spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f496]) ).
cnf(s4,plain,
~ spl6_2,
inference(sat_conversion,[],[f504]) ).
cnf(s6,plain,
~ spl6_3,
inference(sat_conversion,[],[f545]) ).
cnf(s10,plain,
( ~ spl6_1
| spl6_2
| spl6_5 ),
inference(sat_conversion,[],[f4858]) ).
cnf(s15,plain,
( spl6_2
| ~ spl6_1
| spl6_2
| ~ spl6_5 ),
inference(sat_conversion,[],[f4926]) ).
cnf(s16,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_5 ),
inference(rat,[],[s15]) ).
cnf(s17,plain,
spl6_1,
inference(rat,[],[s2,s6,s4]) ).
cnf(s18,plain,
~ spl6_5,
inference(rat,[],[s16,s4,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s10,s4,s18,s17]) ).
thf(f4927,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT027^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n005.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:29:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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
% 0.76/0.37 % (1964525)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.37 % (1964535)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2656909261:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.37 % (1964536)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.37 % (1964536)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
% 0.76/0.37 % (1964530)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2242244086:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.37 % (1964531)lrs+10_16_si=on:nwc=1.5:random_seed=25738885:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.37 % (1964532)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2562233820:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.37 % (1964533)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=2570431652: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)
% 0.76/0.37 % (1964534)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2484826425:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.37 % (1964536)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=3865951919:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.37 % (1964532)Instruction limit reached!
% 0.76/0.37 % (1964532)------------------------------
% 0.76/0.37 % (1964532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (1964532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (1964532)CaDiCaL version: 2.1.3
% 0.76/0.37 % (1964532)Termination reason: Instruction limit
% 0.76/0.37 % (1964532)Termination phase: Property scanning
% 0.76/0.37 % (1964532)Time elapsed: 0.002 s
% 0.76/0.37 % (1964532)Peak memory usage: 10 MB
% 0.76/0.37 % (1964532)Instructions burned: 4 (million)
% 0.76/0.37 % (1964531)Instruction limit reached!
% 0.76/0.37 % (1964531)------------------------------
% 0.76/0.37 % (1964531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (1964531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (1964531)CaDiCaL version: 2.1.3
% 0.76/0.37 % (1964531)Termination reason: Instruction limit
% 0.76/0.37 % (1964531)Termination phase: Saturation
% 0.76/0.37 % (1964531)Time elapsed: 0.008 s
% 0.76/0.37 % (1964531)Peak memory usage: 11 MB
% 0.76/0.37 % (1964531)Instructions burned: 19 (million)
% 0.76/0.37 % (1964535)Instruction limit reached!
% 0.76/0.37 % (1964535)------------------------------
% 0.76/0.37 % (1964535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (1964535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (1964535)CaDiCaL version: 2.1.3
% 0.76/0.37 % (1964535)Termination reason: Instruction limit
% 0.76/0.37 % (1964535)Termination phase: Saturation
% 0.76/0.37 % (1964535)Time elapsed: 0.020 s
% 0.76/0.37 % (1964535)Peak memory usage: 12 MB
% 0.76/0.37 % (1964535)Instructions burned: 76 (million)
% 0.76/0.37 % (1964534)Instruction limit reached!
% 0.76/0.37 % (1964534)------------------------------
% 0.76/0.37 % (1964534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.37 % (1964534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.37 % (1964534)CaDiCaL version: 2.1.3
% 0.76/0.37 % (1964534)Termination reason: Instruction limit
% 0.76/0.37 % (1964534)Termination phase: Saturation
% 0.76/0.37 % (1964534)Time elapsed: 0.014 s
% 0.76/0.37 % (1964534)Peak memory usage: 11 MB
% 0.76/0.37 % (1964534)Instructions burned: 25 (million)
% 0.76/0.37 % (1964544)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=294240013:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.37 % (1964546)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.39 % (1964544)Instruction limit reached!
% 0.76/0.39 % (1964544)------------------------------
% 0.76/0.39 % (1964544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1964544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1964544)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1964544)Termination reason: Instruction limit
% 0.76/0.39 % (1964544)Termination phase: Property scanning
% 0.76/0.39 % (1964544)Time elapsed: 0.002 s
% 0.76/0.39 % (1964544)Peak memory usage: 10 MB
% 0.76/0.39 % (1964544)Instructions burned: 4 (million)
% 0.76/0.39 % (1964546)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3383727077:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.39 % (1964546)Instruction limit reached!
% 0.76/0.39 % (1964546)------------------------------
% 0.76/0.39 % (1964546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1964546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1964546)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1964546)Termination reason: Instruction limit
% 0.76/0.39 % (1964546)Termination phase: Function definition elimination
% 0.76/0.39 % (1964546)Time elapsed: 0.002 s
% 0.76/0.39 % (1964546)Peak memory usage: 10 MB
% 0.76/0.39 % (1964546)Instructions burned: 8 (million)
% 0.76/0.39 % (1964545)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=324840821:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.39 % (1964545)Instruction limit reached!
% 0.76/0.39 % (1964545)------------------------------
% 0.76/0.39 % (1964545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1964545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1964545)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1964545)Termination reason: Instruction limit
% 0.76/0.39 % (1964545)Termination phase: Property scanning
% 0.76/0.39 % (1964545)Time elapsed: 0.003 s
% 0.76/0.39 % (1964545)Peak memory usage: 10 MB
% 0.76/0.39 % (1964545)Instructions burned: 7 (million)
% 0.76/0.39 % (1964547)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3907021934:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.39 % (1964551)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=2806245207:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.39 % (1964550)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
% 0.76/0.39 % (1964550)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.39 % (1964547)Instruction limit reached!
% 0.76/0.39 % (1964547)------------------------------
% 0.76/0.39 % (1964547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1964547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1964547)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1964547)Termination reason: Instruction limit
% 0.76/0.39 % (1964547)Termination phase: Property scanning
% 0.76/0.39 % (1964547)Time elapsed: 0.007 s
% 0.76/0.39 % (1964547)Peak memory usage: 10 MB
% 0.76/0.39 % (1964547)Instructions burned: 15 (million)
% 0.76/0.39 % (1964530)Instruction limit reached!
% 0.76/0.39 % (1964530)------------------------------
% 0.76/0.39 % (1964530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.39 % (1964530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.39 % (1964530)CaDiCaL version: 2.1.3
% 0.76/0.39 % (1964530)Termination reason: Instruction limit
% 0.76/0.39 % (1964530)Termination phase: Saturation
% 0.76/0.39 % (1964530)Time elapsed: 0.044 s
% 0.76/0.39 % (1964530)Peak memory usage: 12 MB
% 0.76/0.39 % (1964530)Instructions burned: 87 (million)
% 0.76/0.39 % (1964550)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=88700022:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.39 % (1964553)lrs+10_1_si=on:cs=on:random_seed=3340239087:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.42 % (1964556)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.42 % (1964550)Instruction limit reached!
% 0.76/0.42 % (1964550)------------------------------
% 0.76/0.42 % (1964550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964550)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964550)Termination reason: Instruction limit
% 0.76/0.42 % (1964550)Termination phase: Saturation
% 0.76/0.42 % (1964550)Time elapsed: 0.013 s
% 0.76/0.42 % (1964550)Peak memory usage: 11 MB
% 0.76/0.42 % (1964550)Instructions burned: 30 (million)
% 0.76/0.42 % (1964556)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=1264985701:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.42 % (1964553)Instruction limit reached!
% 0.76/0.42 % (1964553)------------------------------
% 0.76/0.42 % (1964553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964553)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964553)Termination reason: Instruction limit
% 0.76/0.42 % (1964553)Termination phase: Function definition elimination
% 0.76/0.42 % (1964553)Time elapsed: 0.005 s
% 0.76/0.42 % (1964553)Peak memory usage: 10 MB
% 0.76/0.42 % (1964553)Instructions burned: 8 (million)
% 0.76/0.42 % (1964557)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=26003685:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.42 % (1964551)Instruction limit reached!
% 0.76/0.42 % (1964551)------------------------------
% 0.76/0.42 % (1964551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964551)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964551)Termination reason: Instruction limit
% 0.76/0.42 % (1964551)Termination phase: Saturation
% 0.76/0.42 % (1964551)Time elapsed: 0.025 s
% 0.76/0.42 % (1964551)Peak memory usage: 12 MB
% 0.76/0.42 % (1964551)Instructions burned: 89 (million)
% 0.76/0.42 % (1964556)Instruction limit reached!
% 0.76/0.42 % (1964556)------------------------------
% 0.76/0.42 % (1964556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964556)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964556)Termination reason: Instruction limit
% 0.76/0.42 % (1964556)Termination phase: Property scanning
% 0.76/0.42 % (1964556)Time elapsed: 0.005 s
% 0.76/0.42 % (1964556)Peak memory usage: 10 MB
% 0.76/0.42 % (1964556)Instructions burned: 10 (million)
% 0.76/0.42 % (1964557)Refutation not found, incomplete strategy
% 0.76/0.42 % (1964557)------------------------------
% 0.76/0.42 % (1964557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964557)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964557)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.42 % (1964557)Time elapsed: 0.009 s
% 0.76/0.42 % (1964557)Peak memory usage: 12 MB
% 0.76/0.42 % (1964557)Instructions burned: 19 (million)
% 0.76/0.42 % (1964557)------------------------------
% 0.76/0.42 % (1964557)------------------------------
% 0.76/0.42 % (1964564)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2354909566:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.76/0.42 % (1964536)Instruction limit reached!
% 0.76/0.42 % (1964536)------------------------------
% 0.76/0.42 % (1964536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.42 % (1964536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.42 % (1964536)CaDiCaL version: 2.1.3
% 0.76/0.42 % (1964536)Termination reason: Instruction limit
% 0.76/0.42 % (1964536)Termination phase: Saturation
% 0.76/0.42 % (1964536)Time elapsed: 0.075 s
% 0.76/0.42 % (1964536)Peak memory usage: 12 MB
% 0.76/0.42 % (1964536)Instructions burned: 157 (million)
% 0.76/0.42 % (1964560)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3962085785:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.45 % (1964564)Instruction limit reached!
% 0.76/0.45 % (1964564)------------------------------
% 0.76/0.45 % (1964564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (1964564)CaDiCaL version: 2.1.3
% 0.76/0.45 % (1964564)Termination reason: Instruction limit
% 0.76/0.45 % (1964564)Termination phase: Saturation
% 0.76/0.45 % (1964564)Time elapsed: 0.004 s
% 0.76/0.45 % (1964564)Peak memory usage: 11 MB
% 0.76/0.45 % (1964564)Instructions burned: 18 (million)
% 0.76/0.45 % (1964562)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2614135069:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.45 % (1964560)Refutation not found, incomplete strategy
% 0.76/0.45 % (1964560)------------------------------
% 0.76/0.45 % (1964560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (1964560)CaDiCaL version: 2.1.3
% 0.76/0.45 % (1964560)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.45 % (1964560)Time elapsed: 0.005 s
% 0.76/0.45 % (1964560)Peak memory usage: 12 MB
% 0.76/0.45 % (1964560)Instructions burned: 10 (million)
% 0.76/0.45 % (1964560)------------------------------
% 0.76/0.45 % (1964560)------------------------------
% 0.76/0.45 % (1964565)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2717276507:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.76/0.45 % (1964570)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=330227596:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.76/0.45 % (1964566)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=877823789:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.45 % (1964562)Instruction limit reached!
% 0.76/0.45 % (1964562)------------------------------
% 0.76/0.45 % (1964562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (1964568)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1159798219: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)
% 0.76/0.45 % (1964562)CaDiCaL version: 2.1.3
% 0.76/0.45 % (1964562)Termination reason: Instruction limit
% 0.76/0.45 % (1964562)Termination phase: Saturation
% 0.76/0.45 % (1964562)Time elapsed: 0.015 s
% 0.76/0.45 % (1964562)Peak memory usage: 12 MB
% 0.76/0.45 % (1964562)Instructions burned: 26 (million)
% 0.76/0.45 % (1964570)Instruction limit reached!
% 0.76/0.45 % (1964570)------------------------------
% 0.76/0.45 % (1964570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (1964570)CaDiCaL version: 2.1.3
% 0.76/0.45 % (1964570)Termination reason: Instruction limit
% 0.76/0.45 % (1964570)Termination phase: Saturation
% 0.76/0.45 % (1964570)Time elapsed: 0.006 s
% 0.76/0.45 % (1964570)Peak memory usage: 11 MB
% 0.76/0.45 % (1964570)Instructions burned: 27 (million)
% 0.76/0.45 % (1964568)Instruction limit reached!
% 0.76/0.45 % (1964568)------------------------------
% 0.76/0.45 % (1964568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.45 % (1964568)CaDiCaL version: 2.1.3
% 0.76/0.45 % (1964568)Termination reason: Instruction limit
% 0.76/0.45 % (1964568)Termination phase: Property scanning
% 0.76/0.45 % (1964568)Time elapsed: 0.002 s
% 0.76/0.45 % (1964568)Peak memory usage: 10 MB
% 0.76/0.45 % (1964568)Instructions burned: 4 (million)
% 0.76/0.45 % (1964565)Refutation not found, incomplete strategy
% 0.76/0.45 % (1964565)------------------------------
% 0.76/0.45 % (1964565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964566)Instruction limit reached!
% 0.76/0.45 % (1964566)------------------------------
% 0.76/0.45 % (1964566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.45 % (1964566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.48 % (1964565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.48 % (1964566)CaDiCaL version: 2.1.3
% 1.47/0.48 % (1964565)CaDiCaL version: 2.1.3
% 1.47/0.48 % (1964566)Termination reason: Instruction limit
% 1.47/0.48 % (1964566)Termination phase: Property scanning
% 1.47/0.48 % (1964565)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.48 % (1964565)Time elapsed: 0.011 s
% 1.47/0.48 % (1964566)Time elapsed: 0.006 s
% 1.47/0.48 % (1964565)Peak memory usage: 12 MB
% 1.47/0.48 % (1964566)Peak memory usage: 10 MB
% 1.47/0.48 % (1964565)Instructions burned: 21 (million)
% 1.47/0.48 % (1964566)Instructions burned: 15 (million)
% 1.47/0.48 % (1964565)------------------------------
% 1.47/0.48 % (1964565)------------------------------
% 1.47/0.48 % (1964572)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3808356764:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.47/0.48 % (1964578)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
% 1.47/0.48 % (1964578)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.47/0.48 % (1964578)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=3805087989:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.47/0.48 % (1964578)Instruction limit reached!
% 1.47/0.48 % (1964578)------------------------------
% 1.47/0.48 % (1964578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.48 % (1964578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.48 % (1964578)CaDiCaL version: 2.1.3
% 1.47/0.48 % (1964578)Termination reason: Instruction limit
% 1.47/0.48 % (1964578)Termination phase: Saturation
% 1.47/0.48 % (1964578)Time elapsed: 0.004 s
% 1.47/0.48 % (1964578)Peak memory usage: 11 MB
% 1.47/0.48 % (1964578)Instructions burned: 18 (million)
% 1.47/0.48 % (1964579)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.47/0.48 % (1964572)Instruction limit reached!
% 1.47/0.48 % (1964572)------------------------------
% 1.47/0.48 % (1964572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.48 % (1964572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.48 % (1964572)CaDiCaL version: 2.1.3
% 1.47/0.48 % (1964572)Termination reason: Instruction limit
% 1.47/0.48 % (1964572)Termination phase: Saturation
% 1.47/0.48 % (1964572)Time elapsed: 0.010 s
% 1.47/0.48 % (1964572)Peak memory usage: 11 MB
% 1.47/0.48 % (1964572)Instructions burned: 24 (million)
% 1.47/0.48 % (1964577)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3860161924:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.47/0.48 % (1964579)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=406584749:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.47/0.48 % (1964580)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=1921284345:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.47/0.48 % (1964581)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1526874315:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.47/0.48 % (1964584)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=147666643:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.47/0.48 % (1964579)Instruction limit reached!
% 1.47/0.48 % (1964579)------------------------------
% 1.47/0.48 % (1964579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.48 % (1964579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.48 % (1964579)CaDiCaL version: 2.1.3
% 1.47/0.48 % (1964579)Termination reason: Instruction limit
% 1.47/0.48 % (1964579)Termination phase: Property scanning
% 1.47/0.48 % (1964579)Time elapsed: 0.004 s
% 1.47/0.48 % (1964579)Peak memory usage: 11 MB
% 1.47/0.48 % (1964579)Instructions burned: 9 (million)
% 1.47/0.52 % (1964581)Instruction limit reached!
% 1.47/0.52 % (1964581)------------------------------
% 1.47/0.52 % (1964581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964581)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964581)Termination reason: Instruction limit
% 1.47/0.52 % (1964581)Termination phase: Function definition elimination
% 1.47/0.52 % (1964581)Time elapsed: 0.004 s
% 1.47/0.52 % (1964581)Peak memory usage: 10 MB
% 1.47/0.52 % (1964581)Instructions burned: 9 (million)
% 1.47/0.52 % (1964584)Instruction limit reached!
% 1.47/0.52 % (1964584)------------------------------
% 1.47/0.52 % (1964584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964584)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964584)Termination reason: Instruction limit
% 1.47/0.52 % (1964584)Termination phase: Saturation
% 1.47/0.52 % (1964584)Time elapsed: 0.005 s
% 1.47/0.52 % (1964584)Peak memory usage: 11 MB
% 1.47/0.52 % (1964584)Instructions burned: 23 (million)
% 1.47/0.52 % (1964585)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1547184295:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.47/0.52 % (1964580)Instruction limit reached!
% 1.47/0.52 % (1964580)------------------------------
% 1.47/0.52 % (1964580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964580)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964580)Termination reason: Instruction limit
% 1.47/0.52 % (1964580)Termination phase: Saturation
% 1.47/0.52 % (1964580)Time elapsed: 0.017 s
% 1.47/0.52 % (1964580)Peak memory usage: 12 MB
% 1.47/0.52 % (1964580)Instructions burned: 32 (million)
% 1.47/0.52 % (1964593)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3625942987:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.47/0.52 % (1964591)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2687470952:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.47/0.52 % (1964592)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1243800248:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.47/0.52 % (1964585)Instruction limit reached!
% 1.47/0.52 % (1964585)------------------------------
% 1.47/0.52 % (1964585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964585)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964585)Termination reason: Instruction limit
% 1.47/0.52 % (1964585)Termination phase: Saturation
% 1.47/0.52 % (1964585)Time elapsed: 0.011 s
% 1.47/0.52 % (1964585)Peak memory usage: 12 MB
% 1.47/0.52 % (1964585)Instructions burned: 20 (million)
% 1.47/0.52 % (1964593)Refutation not found, incomplete strategy
% 1.47/0.52 % (1964593)------------------------------
% 1.47/0.52 % (1964593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964593)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964593)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.52 % (1964593)Time elapsed: 0.007 s
% 1.47/0.52 % (1964593)Peak memory usage: 12 MB
% 1.47/0.52 % (1964593)Instructions burned: 27 (million)
% 1.47/0.52 % (1964593)------------------------------
% 1.47/0.52 % (1964593)------------------------------
% 1.47/0.52 % (1964577)Instruction limit reached!
% 1.47/0.52 % (1964577)------------------------------
% 1.47/0.52 % (1964577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.52 % (1964577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.52 % (1964577)CaDiCaL version: 2.1.3
% 1.47/0.52 % (1964577)Termination reason: Instruction limit
% 1.47/0.52 % (1964577)Termination phase: Saturation
% 1.47/0.52 % (1964577)Time elapsed: 0.035 s
% 1.47/0.52 % (1964577)Peak memory usage: 13 MB
% 1.47/0.52 % (1964577)Instructions burned: 65 (million)
% 1.47/0.52 % (1964595)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2271689129:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.47/0.52 % (1964600)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3214148933:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.17/0.59 % (1964599)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.17/0.59 % (1964600)Refutation not found, incomplete strategy
% 2.17/0.59 % (1964600)------------------------------
% 2.17/0.59 % (1964600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.59 % (1964600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.59 % (1964600)CaDiCaL version: 2.1.3
% 2.17/0.59 % (1964600)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.59 % (1964600)Time elapsed: 0.005 s
% 2.17/0.59 % (1964600)Peak memory usage: 12 MB
% 2.17/0.59 % (1964600)Instructions burned: 19 (million)
% 2.17/0.59 % (1964600)------------------------------
% 2.17/0.59 % (1964600)------------------------------
% 2.17/0.59 % (1964599)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1494972807:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.17/0.59 % (1964601)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=2552235894:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.17/0.59 % (1964599)Instruction limit reached!
% 2.17/0.59 % (1964599)------------------------------
% 2.17/0.59 % (1964599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.59 % (1964599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.59 % (1964599)CaDiCaL version: 2.1.3
% 2.17/0.59 % (1964599)Termination reason: Instruction limit
% 2.17/0.59 % (1964599)Termination phase: Function definition elimination
% 2.17/0.59 % (1964599)Time elapsed: 0.004 s
% 2.17/0.59 % (1964599)Peak memory usage: 10 MB
% 2.17/0.59 % (1964599)Instructions burned: 8 (million)
% 2.17/0.59 % (1964604)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.17/0.59 % (1964604)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1581674583:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 2.17/0.59 % (1964604)Instruction limit reached!
% 2.17/0.59 % (1964604)------------------------------
% 2.17/0.59 % (1964604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.59 % (1964604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.59 % (1964604)CaDiCaL version: 2.1.3
% 2.17/0.59 % (1964604)Termination reason: Instruction limit
% 2.17/0.59 % (1964604)Termination phase: Property scanning
% 2.17/0.59 % (1964604)Time elapsed: 0.002 s
% 2.17/0.59 % (1964604)Peak memory usage: 10 MB
% 2.17/0.59 % (1964604)Instructions burned: 8 (million)
% 2.17/0.59 % (1964601)Refutation not found, incomplete strategy
% 2.17/0.59 % (1964601)------------------------------
% 2.17/0.59 % (1964601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.59 % (1964601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.59 % (1964601)CaDiCaL version: 2.1.3
% 2.17/0.59 % (1964601)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.59 % (1964601)Time elapsed: 0.007 s
% 2.17/0.59 % (1964601)Peak memory usage: 12 MB
% 2.17/0.59 % (1964601)Instructions burned: 14 (million)
% 2.17/0.59 % (1964595)Instruction limit reached!
% 2.17/0.59 % (1964595)------------------------------
% 2.17/0.59 % (1964595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.59 % (1964595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.59 % (1964595)CaDiCaL version: 2.1.3
% 2.17/0.59 % (1964595)Termination reason: Instruction limit
% 2.17/0.59 % (1964595)Termination phase: Saturation
% 2.17/0.59 % (1964595)Time elapsed: 0.022 s
% 2.17/0.59 % (1964595)Peak memory usage: 12 MB
% 2.17/0.59 % (1964595)Instructions burned: 43 (million)
% 2.17/0.59 % (1964601)------------------------------
% 2.17/0.59 % (1964601)------------------------------
% 2.17/0.59 % (1964609)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3098431807:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.63/0.67 % (1964607)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=702020724:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.63/0.67 % (1964609)Instruction limit reached!
% 2.63/0.67 % (1964609)------------------------------
% 2.63/0.67 % (1964609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1964609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1964609)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1964609)Termination reason: Instruction limit
% 2.63/0.67 % (1964609)Termination phase: Saturation
% 2.63/0.67 % (1964609)Time elapsed: 0.005 s
% 2.63/0.67 % (1964609)Peak memory usage: 11 MB
% 2.63/0.67 % (1964609)Instructions burned: 23 (million)
% 2.63/0.67 % (1964610)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=3880642378:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.63/0.67 % (1964611)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=1259868309: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)
% 2.63/0.67 % (1964607)Instruction limit reached!
% 2.63/0.67 % (1964607)------------------------------
% 2.63/0.67 % (1964607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1964607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1964607)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1964607)Termination reason: Instruction limit
% 2.63/0.67 % (1964607)Termination phase: Saturation
% 2.63/0.67 % (1964607)Time elapsed: 0.010 s
% 2.63/0.67 % (1964607)Peak memory usage: 11 MB
% 2.63/0.67 % (1964607)Instructions burned: 22 (million)
% 2.63/0.67 % (1964614)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=890888673: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)
% 2.63/0.67 % (1964592)Instruction limit reached!
% 2.63/0.67 % (1964592)------------------------------
% 2.63/0.67 % (1964592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1964592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1964592)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1964592)Termination reason: Instruction limit
% 2.63/0.67 % (1964592)Termination phase: Saturation
% 2.63/0.67 % (1964592)Time elapsed: 0.071 s
% 2.63/0.67 % (1964592)Peak memory usage: 13 MB
% 2.63/0.67 % (1964592)Instructions burned: 144 (million)
% 2.63/0.67 % (1964614)Instruction limit reached!
% 2.63/0.67 % (1964614)------------------------------
% 2.63/0.67 % (1964614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1964614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1964614)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1964614)Termination reason: Instruction limit
% 2.63/0.67 % (1964614)Termination phase: Saturation
% 2.63/0.67 % (1964614)Time elapsed: 0.012 s
% 2.63/0.67 % (1964614)Peak memory usage: 12 MB
% 2.63/0.67 % (1964614)Instructions burned: 47 (million)
% 2.63/0.67 % (1964617)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1928074774:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.63/0.67 % (1964620)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.63/0.67 % (1964617)Refutation not found, incomplete strategy
% 2.63/0.67 % (1964617)------------------------------
% 2.63/0.67 % (1964617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.67 % (1964617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.67 % (1964617)CaDiCaL version: 2.1.3
% 2.63/0.67 % (1964617)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.67 % (1964617)Time elapsed: 0.006 s
% 2.63/0.67 % (1964617)Peak memory usage: 12 MB
% 2.63/0.67 % (1964617)Instructions burned: 12 (million)
% 2.63/0.67 % (1964617)------------------------------
% 2.63/0.67 % (1964617)------------------------------
% 2.63/0.67 % (1964620)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1342763561:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 3.08/0.71 % (1964619)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1565763077: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)
% 3.08/0.71 % (1964619)Instruction limit reached!
% 3.08/0.71 % (1964619)------------------------------
% 3.08/0.71 % (1964619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964619)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964619)Termination reason: Instruction limit
% 3.08/0.71 % (1964619)Termination phase: Saturation
% 3.08/0.71 % (1964619)Time elapsed: 0.011 s
% 3.08/0.71 % (1964619)Peak memory usage: 11 MB
% 3.08/0.71 % (1964619)Instructions burned: 24 (million)
% 3.08/0.71 % (1964622)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1598680184:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 3.08/0.71 % (1964622)Instruction limit reached!
% 3.08/0.71 % (1964622)------------------------------
% 3.08/0.71 % (1964622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964622)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964622)Termination reason: Instruction limit
% 3.08/0.71 % (1964622)Termination phase: Saturation
% 3.08/0.71 % (1964622)Time elapsed: 0.007 s
% 3.08/0.71 % (1964622)Peak memory usage: 12 MB
% 3.08/0.71 % (1964622)Instructions burned: 14 (million)
% 3.08/0.71 % (1964625)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=2225959433:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 3.08/0.71 % (1964627)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2264130895:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 3.08/0.71 % (1964620)Instruction limit reached!
% 3.08/0.71 % (1964620)------------------------------
% 3.08/0.71 % (1964620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964620)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964620)Termination reason: Instruction limit
% 3.08/0.71 % (1964620)Termination phase: Saturation
% 3.08/0.71 % (1964620)Time elapsed: 0.051 s
% 3.08/0.71 % (1964620)Peak memory usage: 13 MB
% 3.08/0.71 % (1964620)Instructions burned: 203 (million)
% 3.08/0.71 % (1964627)Refutation not found, incomplete strategy
% 3.08/0.71 % (1964627)------------------------------
% 3.08/0.71 % (1964627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964627)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964627)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.71 % (1964627)Time elapsed: 0.012 s
% 3.08/0.71 % (1964627)Peak memory usage: 12 MB
% 3.08/0.71 % (1964627)Instructions burned: 27 (million)
% 3.08/0.71 % (1964627)------------------------------
% 3.08/0.71 % (1964627)------------------------------
% 3.08/0.71 % (1964630)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=145060787:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.08/0.71 % (1964625)Instruction limit reached!
% 3.08/0.71 % (1964625)------------------------------
% 3.08/0.71 % (1964625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964625)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964625)Termination reason: Instruction limit
% 3.08/0.71 % (1964625)Termination phase: Saturation
% 3.08/0.71 % (1964625)Time elapsed: 0.032 s
% 3.08/0.71 % (1964625)Peak memory usage: 13 MB
% 3.08/0.71 % (1964625)Instructions burned: 67 (million)
% 3.08/0.71 % (1964630)Instruction limit reached!
% 3.08/0.71 % (1964630)------------------------------
% 3.08/0.71 % (1964630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.71 % (1964630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.71 % (1964630)CaDiCaL version: 2.1.3
% 3.08/0.71 % (1964630)Termination reason: Instruction limit
% 3.08/0.71 % (1964630)Termination phase: Saturation
% 3.08/0.71 % (1964630)Time elapsed: 0.007 s
% 3.55/0.81 % (1964630)Peak memory usage: 11 MB
% 3.55/0.81 % (1964630)Instructions burned: 32 (million)
% 3.55/0.81 % (1964631)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=959948488:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.55/0.81 % (1964633)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=240178870:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.55/0.81 % (1964634)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1803481016:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.55/0.81 % (1964633)Instruction limit reached!
% 3.55/0.81 % (1964633)------------------------------
% 3.55/0.81 % (1964633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.81 % (1964633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.81 % (1964633)CaDiCaL version: 2.1.3
% 3.55/0.81 % (1964633)Termination reason: Instruction limit
% 3.55/0.81 % (1964633)Termination phase: Saturation
% 3.55/0.81 % (1964633)Time elapsed: 0.010 s
% 3.55/0.81 % (1964633)Peak memory usage: 12 MB
% 3.55/0.81 % (1964633)Instructions burned: 37 (million)
% 3.55/0.81 % (1964638)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.55/0.81 % (1964638)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=657376181:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.55/0.81 % (1964634)Refutation not found, incomplete strategy
% 3.55/0.81 % (1964634)------------------------------
% 3.55/0.81 % (1964634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.81 % (1964634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.81 % (1964634)CaDiCaL version: 2.1.3
% 3.55/0.81 % (1964634)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.81 % (1964634)Time elapsed: 0.013 s
% 3.55/0.81 % (1964634)Peak memory usage: 12 MB
% 3.55/0.81 % (1964634)Instructions burned: 28 (million)
% 3.55/0.81 % (1964634)------------------------------
% 3.55/0.81 % (1964634)------------------------------
% 3.55/0.81 % (1964533)Instruction limit reached!
% 3.55/0.81 % (1964533)------------------------------
% 3.55/0.81 % (1964533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.81 % (1964533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.81 % (1964533)CaDiCaL version: 2.1.3
% 3.55/0.81 % (1964533)Termination reason: Instruction limit
% 3.55/0.81 % (1964533)Termination phase: Saturation
% 3.55/0.81 % (1964533)Time elapsed: 0.333 s
% 3.55/0.81 % (1964533)Peak memory usage: 16 MB
% 3.55/0.81 % (1964533)Instructions burned: 635 (million)
% 3.55/0.81 % (1964640)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2988358234:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.55/0.81 % (1964641)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3521931305:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.55/0.81 % (1964610)Instruction limit reached!
% 3.55/0.81 % (1964610)------------------------------
% 3.55/0.81 % (1964610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.81 % (1964640)Refutation not found, incomplete strategy
% 3.55/0.81 % (1964640)------------------------------
% 3.55/0.81 % (1964640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.81 % (1964610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.81 % (1964640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.81 % (1964610)CaDiCaL version: 2.1.3
% 3.55/0.81 % (1964640)CaDiCaL version: 2.1.3
% 3.55/0.81 % (1964610)Termination reason: Instruction limit
% 3.55/0.81 % (1964610)Termination phase: Saturation
% 3.55/0.81 % (1964640)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.81 % (1964640)Time elapsed: 0.010 s
% 3.55/0.81 % (1964610)Time elapsed: 0.160 s
% 3.55/0.81 % (1964640)Peak memory usage: 12 MB
% 3.55/0.81 % (1964610)Peak memory usage: 14 MB
% 3.55/0.81 % (1964640)Instructions burned: 19 (million)
% 3.55/0.81 % (1964610)Instructions burned: 318 (million)
% 3.55/0.81 % (1964640)------------------------------
% 3.55/0.81 % (1964640)------------------------------
% 3.55/0.81 % (1964638)Instruction limit reached!
% 4.03/0.93 % (1964638)------------------------------
% 4.03/0.93 % (1964638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964638)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964638)Termination reason: Instruction limit
% 4.03/0.93 % (1964638)Termination phase: Saturation
% 4.03/0.93 % (1964638)Time elapsed: 0.047 s
% 4.03/0.93 % (1964638)Peak memory usage: 13 MB
% 4.03/0.93 % (1964638)Instructions burned: 184 (million)
% 4.03/0.93 % (1964644)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3118410447:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 4.03/0.93 % (1964645)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3037865902:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 4.03/0.93 % (1964631)Instruction limit reached!
% 4.03/0.93 % (1964631)------------------------------
% 4.03/0.93 % (1964631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964631)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964631)Termination reason: Instruction limit
% 4.03/0.93 % (1964631)Termination phase: Saturation
% 4.03/0.93 % (1964631)Time elapsed: 0.071 s
% 4.03/0.93 % (1964631)Peak memory usage: 12 MB
% 4.03/0.93 % (1964631)Instructions burned: 138 (million)
% 4.03/0.93 % (1964644)Refutation not found, incomplete strategy
% 4.03/0.93 % (1964644)------------------------------
% 4.03/0.93 % (1964644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964644)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964644)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.93 % (1964644)Time elapsed: 0.005 s
% 4.03/0.93 % (1964644)Peak memory usage: 12 MB
% 4.03/0.93 % (1964644)Instructions burned: 9 (million)
% 4.03/0.93 % (1964644)------------------------------
% 4.03/0.93 % (1964644)------------------------------
% 4.03/0.93 % (1964646)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1775582789:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 4.03/0.93 % (1964645)Refutation not found, incomplete strategy
% 4.03/0.93 % (1964645)------------------------------
% 4.03/0.93 % (1964645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964645)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964645)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.93 % (1964645)Time elapsed: 0.011 s
% 4.03/0.93 % (1964645)Peak memory usage: 12 MB
% 4.03/0.93 % (1964645)Instructions burned: 21 (million)
% 4.03/0.93 % (1964645)------------------------------
% 4.03/0.93 % (1964645)------------------------------
% 4.03/0.93 % (1964649)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1416954419:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 4.03/0.93 % (1964650)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1873833917:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 4.03/0.93 % (1964641)Instruction limit reached!
% 4.03/0.93 % (1964641)------------------------------
% 4.03/0.93 % (1964641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964641)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964641)Termination reason: Instruction limit
% 4.03/0.93 % (1964641)Termination phase: Saturation
% 4.03/0.93 % (1964641)Time elapsed: 0.048 s
% 4.03/0.93 % (1964641)Peak memory usage: 13 MB
% 4.03/0.93 % (1964641)Instructions burned: 96 (million)
% 4.03/0.93 % (1964652)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=75020534:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 4.03/0.93 % (1964652)Refutation not found, incomplete strategy
% 4.03/0.93 % (1964652)------------------------------
% 4.03/0.93 % (1964652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.93 % (1964652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.93 % (1964652)CaDiCaL version: 2.1.3
% 4.03/0.93 % (1964652)Termination reason: Refutation not found, incomplete strategy
% 4.03/0.99 % (1964652)Time elapsed: 0.007 s
% 4.03/0.99 % (1964652)Peak memory usage: 12 MB
% 4.03/0.99 % (1964652)Instructions burned: 13 (million)
% 4.03/0.99 % (1964652)------------------------------
% 4.03/0.99 % (1964652)------------------------------
% 4.03/0.99 % (1964655)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2389739527:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 4.03/0.99 % (1964650)Instruction limit reached!
% 4.03/0.99 % (1964650)------------------------------
% 4.03/0.99 % (1964650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.99 % (1964650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.99 % (1964650)CaDiCaL version: 2.1.3
% 4.03/0.99 % (1964650)Termination reason: Instruction limit
% 4.03/0.99 % (1964650)Termination phase: Saturation
% 4.03/0.99 % (1964650)Time elapsed: 0.023 s
% 4.03/0.99 % (1964650)Peak memory usage: 12 MB
% 4.03/0.99 % (1964650)Instructions burned: 45 (million)
% 4.03/0.99 % (1964657)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4092826630:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 4.03/0.99 % (1964659)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=3961070344:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 4.03/0.99 % (1964649)Instruction limit reached!
% 4.03/0.99 % (1964649)------------------------------
% 4.03/0.99 % (1964649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.99 % (1964649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.99 % (1964649)CaDiCaL version: 2.1.3
% 4.03/0.99 % (1964649)Termination reason: Instruction limit
% 4.03/0.99 % (1964649)Termination phase: Saturation
% 4.03/0.99 % (1964649)Time elapsed: 0.067 s
% 4.03/0.99 % (1964649)Peak memory usage: 12 MB
% 4.03/0.99 % (1964649)Instructions burned: 130 (million)
% 4.03/0.99 % (1964659)Instruction limit reached!
% 4.03/0.99 % (1964659)------------------------------
% 4.03/0.99 % (1964659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.99 % (1964659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.99 % (1964659)CaDiCaL version: 2.1.3
% 4.03/0.99 % (1964659)Termination reason: Instruction limit
% 4.03/0.99 % (1964659)Termination phase: Saturation
% 4.03/0.99 % (1964659)Time elapsed: 0.033 s
% 4.03/0.99 % (1964659)Peak memory usage: 12 MB
% 4.03/0.99 % (1964659)Instructions burned: 65 (million)
% 4.03/0.99 % (1964657)Instruction limit reached!
% 4.03/0.99 % (1964657)------------------------------
% 4.03/0.99 % (1964657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.99 % (1964657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.99 % (1964657)CaDiCaL version: 2.1.3
% 4.03/0.99 % (1964657)Termination reason: Instruction limit
% 4.03/0.99 % (1964657)Termination phase: Saturation
% 4.03/0.99 % (1964657)Time elapsed: 0.047 s
% 4.03/0.99 % (1964657)Peak memory usage: 12 MB
% 4.03/0.99 % (1964657)Instructions burned: 96 (million)
% 4.03/0.99 % (1964662)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=3211911189: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_2995 on theBenchmark for (2995ds/105Mi)
% 4.03/0.99 % (1964663)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=1296139321:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 4.03/0.99 % (1964665)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1349922687:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 4.03/0.99 % (1964646)Instruction limit reached!
% 4.03/0.99 % (1964646)------------------------------
% 4.03/0.99 % (1964646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/0.99 % (1964646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/0.99 % (1964646)CaDiCaL version: 2.1.3
% 4.03/0.99 % (1964646)Termination reason: Instruction limit
% 4.03/0.99 % (1964646)Termination phase: Saturation
% 5.42/1.08 % (1964646)Time elapsed: 0.129 s
% 5.42/1.08 % (1964646)Peak memory usage: 14 MB
% 5.42/1.08 % (1964646)Instructions burned: 519 (million)
% 5.42/1.08 % (1964668)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2205139531:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 5.42/1.08 % (1964662)Instruction limit reached!
% 5.42/1.08 % (1964662)------------------------------
% 5.42/1.08 % (1964662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964662)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964662)Termination reason: Instruction limit
% 5.42/1.08 % (1964662)Termination phase: Saturation
% 5.42/1.08 % (1964662)Time elapsed: 0.052 s
% 5.42/1.08 % (1964662)Peak memory usage: 13 MB
% 5.42/1.08 % (1964662)Instructions burned: 106 (million)
% 5.42/1.08 % (1964670)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=1697013367:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.42/1.08 % (1964670)Instruction limit reached!
% 5.42/1.08 % (1964670)------------------------------
% 5.42/1.08 % (1964670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964670)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964670)Termination reason: Instruction limit
% 5.42/1.08 % (1964670)Termination phase: Saturation
% 5.42/1.08 % (1964670)Time elapsed: 0.020 s
% 5.42/1.08 % (1964670)Peak memory usage: 12 MB
% 5.42/1.08 % (1964670)Instructions burned: 34 (million)
% 5.42/1.08 % (1964611)Instruction limit reached!
% 5.42/1.08 % (1964611)------------------------------
% 5.42/1.08 % (1964611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964611)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964611)Termination reason: Instruction limit
% 5.42/1.08 % (1964611)Termination phase: Saturation
% 5.42/1.08 % (1964611)Time elapsed: 0.397 s
% 5.42/1.08 % (1964611)Peak memory usage: 15 MB
% 5.42/1.08 % (1964611)Instructions burned: 855 (million)
% 5.42/1.08 % (1964672)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1373653806:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.42/1.08 % (1964674)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=26527996:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.42/1.08 % (1964674)Refutation not found, incomplete strategy
% 5.42/1.08 % (1964674)------------------------------
% 5.42/1.08 % (1964674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964674)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964674)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.08 % (1964674)Time elapsed: 0.007 s
% 5.42/1.08 % (1964674)Peak memory usage: 12 MB
% 5.42/1.08 % (1964674)Instructions burned: 15 (million)
% 5.42/1.08 % (1964674)------------------------------
% 5.42/1.08 % (1964674)------------------------------
% 5.42/1.08 % (1964655)Instruction limit reached!
% 5.42/1.08 % (1964655)------------------------------
% 5.42/1.08 % (1964655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964655)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964655)Termination reason: Instruction limit
% 5.42/1.08 % (1964655)Termination phase: Saturation
% 5.42/1.08 % (1964655)Time elapsed: 0.219 s
% 5.42/1.08 % (1964655)Peak memory usage: 13 MB
% 5.42/1.08 % (1964655)Instructions burned: 452 (million)
% 5.42/1.08 % (1964676)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=258038399:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.42/1.08 % (1964672)Instruction limit reached!
% 5.42/1.08 % (1964672)------------------------------
% 5.42/1.08 % (1964672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.08 % (1964672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.08 % (1964672)CaDiCaL version: 2.1.3
% 5.42/1.08 % (1964672)Termination reason: Instruction limit
% 6.00/1.14 % (1964672)Termination phase: Saturation
% 6.00/1.14 % (1964672)Time elapsed: 0.047 s
% 6.00/1.14 % (1964672)Peak memory usage: 13 MB
% 6.00/1.14 % (1964672)Instructions burned: 92 (million)
% 6.00/1.14 % (1964676)Instruction limit reached!
% 6.00/1.14 % (1964676)------------------------------
% 6.00/1.14 % (1964676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.00/1.14 % (1964676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.14 % (1964676)CaDiCaL version: 2.1.3
% 6.00/1.14 % (1964676)Termination reason: Instruction limit
% 6.00/1.14 % (1964676)Termination phase: Saturation
% 6.00/1.14 % (1964676)Time elapsed: 0.010 s
% 6.00/1.14 % (1964676)Peak memory usage: 11 MB
% 6.00/1.14 % (1964676)Instructions burned: 23 (million)
% 6.00/1.14 % (1964668)Instruction limit reached!
% 6.00/1.14 % (1964668)------------------------------
% 6.00/1.14 % (1964668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.00/1.14 % (1964668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.14 % (1964668)CaDiCaL version: 2.1.3
% 6.00/1.14 % (1964668)Termination reason: Instruction limit
% 6.00/1.14 % (1964668)Termination phase: Saturation
% 6.00/1.14 % (1964668)Time elapsed: 0.129 s
% 6.00/1.14 % (1964668)Peak memory usage: 15 MB
% 6.00/1.14 % (1964668)Instructions burned: 496 (million)
% 6.00/1.14 % (1964677)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=1177470461:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 6.00/1.14 % (1964679)lrs+10_1_sil=128000:si=on:urr=on:random_seed=777895442:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 6.00/1.14 % (1964681)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3439468646:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 6.00/1.14 % (1964680)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.00/1.14 % (1964680)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1038947432:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.00/1.14 % (1964679)Instruction limit reached!
% 6.00/1.14 % (1964679)------------------------------
% 6.00/1.14 % (1964679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.00/1.14 % (1964679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.14 % (1964679)CaDiCaL version: 2.1.3
% 6.00/1.14 % (1964679)Termination reason: Instruction limit
% 6.00/1.14 % (1964679)Termination phase: Saturation
% 6.00/1.14 % (1964679)Time elapsed: 0.013 s
% 6.00/1.14 % (1964679)Peak memory usage: 11 MB
% 6.00/1.14 % (1964679)Instructions burned: 29 (million)
% 6.00/1.14 % (1964665)Instruction limit reached!
% 6.00/1.14 % (1964665)------------------------------
% 6.00/1.14 % (1964665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.00/1.14 % (1964665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.14 % (1964665)CaDiCaL version: 2.1.3
% 6.00/1.14 % (1964665)Termination reason: Instruction limit
% 6.00/1.14 % (1964665)Termination phase: Saturation
% 6.00/1.14 % (1964665)Time elapsed: 0.185 s
% 6.00/1.14 % (1964665)Peak memory usage: 13 MB
% 6.00/1.14 % (1964665)Instructions burned: 375 (million)
% 6.00/1.14 % (1964686)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2145742557:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 6.00/1.14 % (1964686)Refutation not found, incomplete strategy
% 6.00/1.14 % (1964686)------------------------------
% 6.00/1.14 % (1964686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.00/1.14 % (1964686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.00/1.14 % (1964686)CaDiCaL version: 2.1.3
% 6.00/1.14 % (1964686)Termination reason: Refutation not found, incomplete strategy
% 6.00/1.14 % (1964686)Time elapsed: 0.005 s
% 6.00/1.14 % (1964686)Peak memory usage: 12 MB
% 6.00/1.14 % (1964686)Instructions burned: 9 (million)
% 6.00/1.14 % (1964686)------------------------------
% 6.00/1.14 % (1964686)------------------------------
% 6.00/1.14 % (1964687)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.42/1.21 % (1964687)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2712909637:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 6.42/1.21 % (1964689)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=118374091:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 6.42/1.21 % (1964591)Instruction limit reached!
% 6.42/1.21 % (1964591)------------------------------
% 6.42/1.21 % (1964591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.21 % (1964591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.21 % (1964591)CaDiCaL version: 2.1.3
% 6.42/1.21 % (1964591)Termination reason: Instruction limit
% 6.42/1.21 % (1964591)Termination phase: Saturation
% 6.42/1.21 % (1964591)Time elapsed: 0.581 s
% 6.42/1.21 % (1964591)Peak memory usage: 14 MB
% 6.42/1.21 % (1964591)Instructions burned: 1240 (million)
% 6.42/1.21 % (1964680)Instruction limit reached!
% 6.42/1.21 % (1964680)------------------------------
% 6.42/1.21 % (1964680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.21 % (1964680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.21 % (1964680)CaDiCaL version: 2.1.3
% 6.42/1.21 % (1964680)Termination reason: Instruction limit
% 6.42/1.21 % (1964680)Termination phase: Saturation
% 6.42/1.21 % (1964680)Time elapsed: 0.067 s
% 6.42/1.21 % (1964680)Peak memory usage: 12 MB
% 6.42/1.21 % (1964680)Instructions burned: 137 (million)
% 6.42/1.21 % (1964692)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3725837102:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 6.42/1.21 % (1964681)Instruction limit reached!
% 6.42/1.21 % (1964681)------------------------------
% 6.42/1.21 % (1964681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.21 % (1964681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.21 % (1964681)CaDiCaL version: 2.1.3
% 6.42/1.21 % (1964681)Termination reason: Instruction limit
% 6.42/1.21 % (1964681)Termination phase: Saturation
% 6.42/1.21 % (1964681)Time elapsed: 0.083 s
% 6.42/1.21 % (1964681)Peak memory usage: 13 MB
% 6.42/1.21 % (1964681)Instructions burned: 341 (million)
% 6.42/1.21 % (1964692)Refutation not found, incomplete strategy
% 6.42/1.21 % (1964692)------------------------------
% 6.42/1.21 % (1964692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.21 % (1964692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.21 % (1964692)CaDiCaL version: 2.1.3
% 6.42/1.21 % (1964692)Termination reason: Refutation not found, incomplete strategy
% 6.42/1.21 % (1964692)Time elapsed: 0.012 s
% 6.42/1.21 % (1964692)Peak memory usage: 13 MB
% 6.42/1.21 % (1964692)Instructions burned: 27 (million)
% 6.42/1.21 % (1964693)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3452744036:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 6.42/1.21 % (1964692)------------------------------
% 6.42/1.21 % (1964692)------------------------------
% 6.42/1.21 % (1964695)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=1169153981:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 6.42/1.21 % (1964689)Instruction limit reached!
% 6.42/1.21 % (1964689)------------------------------
% 6.42/1.21 % (1964689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.21 % (1964689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.21 % (1964689)CaDiCaL version: 2.1.3
% 6.42/1.21 % (1964689)Termination reason: Instruction limit
% 6.42/1.21 % (1964689)Termination phase: Saturation
% 6.42/1.21 % (1964689)Time elapsed: 0.057 s
% 6.42/1.21 % (1964689)Peak memory usage: 12 MB
% 6.42/1.21 % (1964689)Instructions burned: 118 (million)
% 6.42/1.21 % (1964697)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1712824038:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 6.42/1.21 % (1964697)Refutation not found, incomplete strategy
% 6.42/1.21 % (1964697)------------------------------
% 6.42/1.21 % (1964697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.36 % (1964697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.36 % (1964697)CaDiCaL version: 2.1.3
% 6.61/1.36 % (1964697)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.36 % (1964697)Time elapsed: 0.007 s
% 6.61/1.36 % (1964697)Peak memory usage: 12 MB
% 6.61/1.36 % (1964697)Instructions burned: 15 (million)
% 6.61/1.36 % (1964697)------------------------------
% 6.61/1.36 % (1964697)------------------------------
% 6.61/1.36 % (1964699)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 6.61/1.36 % (1964699)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3247919258:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 6.61/1.36 % (1964701)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1552837718:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 6.61/1.36 % (1964699)Refutation not found, incomplete strategy
% 6.61/1.36 % (1964699)------------------------------
% 6.61/1.36 % (1964699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.36 % (1964699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.36 % (1964699)CaDiCaL version: 2.1.3
% 6.61/1.36 % (1964699)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.36 % (1964699)Time elapsed: 0.012 s
% 6.61/1.36 % (1964699)Peak memory usage: 12 MB
% 6.61/1.36 % (1964699)Instructions burned: 28 (million)
% 6.61/1.36 % (1964699)------------------------------
% 6.61/1.36 % (1964699)------------------------------
% 6.61/1.36 % (1964701)Instruction limit reached!
% 6.61/1.36 % (1964701)------------------------------
% 6.61/1.36 % (1964701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.36 % (1964701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.36 % (1964701)CaDiCaL version: 2.1.3
% 6.61/1.36 % (1964701)Termination reason: Instruction limit
% 6.61/1.36 % (1964701)Termination phase: Saturation
% 6.61/1.36 % (1964701)Time elapsed: 0.014 s
% 6.61/1.36 % (1964701)Peak memory usage: 12 MB
% 6.61/1.36 % (1964701)Instructions burned: 32 (million)
% 6.61/1.36 % (1964704)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.61/1.36 % (1964704)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
% 6.61/1.36 % (1964677)Instruction limit reached!
% 6.61/1.36 % (1964677)------------------------------
% 6.61/1.36 % (1964677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.36 % (1964677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.36 % (1964677)CaDiCaL version: 2.1.3
% 6.61/1.36 % (1964677)Termination reason: Instruction limit
% 6.61/1.36 % (1964677)Termination phase: Saturation
% 6.61/1.36 % (1964677)Time elapsed: 0.164 s
% 6.61/1.36 % (1964677)Peak memory usage: 14 MB
% 6.61/1.36 % (1964677)Instructions burned: 339 (million)
% 6.61/1.36 % (1964704)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=676512018:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 6.61/1.36 % (1964705)dis+10_2_sil=128000:si=on:random_seed=1141340879:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 6.61/1.36 % (1964706)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3592498161:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.61/1.36 % (1964705)Refutation not found, incomplete strategy
% 6.61/1.36 % (1964705)------------------------------
% 6.61/1.36 % (1964705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.36 % (1964705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.36 % (1964705)CaDiCaL version: 2.1.3
% 6.61/1.36 % (1964705)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.36 % (1964705)Time elapsed: 0.014 s
% 6.61/1.36 % (1964705)Peak memory usage: 12 MB
% 7.47/1.55 % (1964705)Instructions burned: 29 (million)
% 7.47/1.55 % (1964705)------------------------------
% 7.47/1.55 % (1964705)------------------------------
% 7.47/1.55 % (1964710)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=3258409651:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 7.47/1.55 % (1964710)Refutation not found, incomplete strategy
% 7.47/1.55 % (1964710)------------------------------
% 7.47/1.55 % (1964710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.55 % (1964710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.55 % (1964710)CaDiCaL version: 2.1.3
% 7.47/1.55 % (1964710)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.55 % (1964710)Time elapsed: 0.007 s
% 7.47/1.55 % (1964710)Peak memory usage: 12 MB
% 7.47/1.55 % (1964710)Instructions burned: 14 (million)
% 7.47/1.55 % (1964710)------------------------------
% 7.47/1.55 % (1964710)------------------------------
% 7.47/1.55 % (1964693)Instruction limit reached!
% 7.47/1.55 % (1964693)------------------------------
% 7.47/1.55 % (1964693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.55 % (1964693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.55 % (1964693)CaDiCaL version: 2.1.3
% 7.47/1.55 % (1964693)Termination reason: Instruction limit
% 7.47/1.55 % (1964693)Termination phase: Saturation
% 7.47/1.55 % (1964693)Time elapsed: 0.130 s
% 7.47/1.55 % (1964693)Peak memory usage: 14 MB
% 7.47/1.55 % (1964693)Instructions burned: 270 (million)
% 7.47/1.55 % (1964687)Instruction limit reached!
% 7.47/1.55 % (1964687)------------------------------
% 7.47/1.55 % (1964687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.55 % (1964687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.55 % (1964687)CaDiCaL version: 2.1.3
% 7.47/1.55 % (1964687)Termination reason: Instruction limit
% 7.47/1.55 % (1964687)Termination phase: Saturation
% 7.47/1.55 % (1964687)Time elapsed: 0.185 s
% 7.47/1.55 % (1964687)Peak memory usage: 12 MB
% 7.47/1.55 % (1964687)Instructions burned: 374 (million)
% 7.47/1.55 % (1964706)Instruction limit reached!
% 7.47/1.55 % (1964706)------------------------------
% 7.47/1.55 % (1964706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.55 % (1964706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.55 % (1964706)CaDiCaL version: 2.1.3
% 7.47/1.55 % (1964706)Termination reason: Instruction limit
% 7.47/1.55 % (1964706)Termination phase: Saturation
% 7.47/1.55 % (1964706)Time elapsed: 0.053 s
% 7.47/1.55 % (1964706)Peak memory usage: 12 MB
% 7.47/1.55 % (1964706)Instructions burned: 112 (million)
% 7.47/1.55 % (1964712)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2593293862:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 7.47/1.55 % (1964713)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2092423731:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 7.47/1.55 % (1964714)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2410550566:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 7.47/1.55 % (1964715)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 7.47/1.55 % (1964712)Refutation not found, incomplete strategy
% 7.47/1.55 % (1964712)------------------------------
% 7.47/1.55 % (1964712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.55 % (1964712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.55 % (1964712)CaDiCaL version: 2.1.3
% 7.47/1.55 % (1964712)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.55 % (1964712)Time elapsed: 0.013 s
% 7.47/1.55 % (1964712)Peak memory usage: 12 MB
% 7.47/1.55 % (1964712)Instructions burned: 27 (million)
% 7.47/1.55 % (1964712)------------------------------
% 7.47/1.55 % (1964712)------------------------------
% 7.47/1.55 % (1964715)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=2545497404:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 8.69/1.71 % (1964714)Refutation not found, incomplete strategy
% 8.69/1.71 % (1964714)------------------------------
% 8.69/1.71 % (1964714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964714)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964714)Termination reason: Refutation not found, incomplete strategy
% 8.69/1.71 % (1964714)Time elapsed: 0.015 s
% 8.69/1.71 % (1964714)Peak memory usage: 12 MB
% 8.69/1.71 % (1964714)Instructions burned: 31 (million)
% 8.69/1.71 % (1964714)------------------------------
% 8.69/1.71 % (1964714)------------------------------
% 8.69/1.71 % (1964719)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2968946957:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 8.69/1.71 % (1964721)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=4227399216:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 8.69/1.71 % (1964719)Refutation not found, incomplete strategy
% 8.69/1.71 % (1964719)------------------------------
% 8.69/1.71 % (1964719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964719)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964719)Termination reason: Refutation not found, incomplete strategy
% 8.69/1.71 % (1964719)Time elapsed: 0.013 s
% 8.69/1.71 % (1964719)Peak memory usage: 12 MB
% 8.69/1.71 % (1964719)Instructions burned: 27 (million)
% 8.69/1.71 % (1964719)------------------------------
% 8.69/1.71 % (1964719)------------------------------
% 8.69/1.71 % (1964724)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3239282501:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 8.69/1.71 % (1964713)Instruction limit reached!
% 8.69/1.71 % (1964713)------------------------------
% 8.69/1.71 % (1964713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964713)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964713)Termination reason: Instruction limit
% 8.69/1.71 % (1964713)Termination phase: Saturation
% 8.69/1.71 % (1964713)Time elapsed: 0.120 s
% 8.69/1.71 % (1964713)Peak memory usage: 13 MB
% 8.69/1.71 % (1964713)Instructions burned: 233 (million)
% 8.69/1.71 % (1964726)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=515708780:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 8.69/1.71 % (1964715)Instruction limit reached!
% 8.69/1.71 % (1964715)------------------------------
% 8.69/1.71 % (1964715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964715)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964715)Termination reason: Instruction limit
% 8.69/1.71 % (1964715)Termination phase: Saturation
% 8.69/1.71 % (1964715)Time elapsed: 0.137 s
% 8.69/1.71 % (1964715)Peak memory usage: 13 MB
% 8.69/1.71 % (1964715)Instructions burned: 282 (million)
% 8.69/1.71 % (1964726)Refutation not found, incomplete strategy
% 8.69/1.71 % (1964726)------------------------------
% 8.69/1.71 % (1964726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964726)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964726)Termination reason: Refutation not found, incomplete strategy
% 8.69/1.71 % (1964726)Time elapsed: 0.007 s
% 8.69/1.71 % (1964726)Peak memory usage: 12 MB
% 8.69/1.71 % (1964726)Instructions burned: 14 (million)
% 8.69/1.71 % (1964726)------------------------------
% 8.69/1.71 % (1964726)------------------------------
% 8.69/1.71 % (1964724)Instruction limit reached!
% 8.69/1.71 % (1964724)------------------------------
% 8.69/1.71 % (1964724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.71 % (1964724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.71 % (1964724)CaDiCaL version: 2.1.3
% 8.69/1.71 % (1964724)Termination reason: Instruction limit
% 8.69/1.71 % (1964724)Termination phase: Saturation
% 8.69/1.71 % (1964724)Time elapsed: 0.101 s
% 9.87/1.92 % (1964724)Peak memory usage: 13 MB
% 9.87/1.92 % (1964724)Instructions burned: 212 (million)
% 9.87/1.92 % (1964728)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2791138084:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 9.87/1.92 % (1964729)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3530156753:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 9.87/1.92 % (1964730)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2130263355:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 9.87/1.92 % (1964730)Instruction limit reached!
% 9.87/1.92 % (1964730)------------------------------
% 9.87/1.92 % (1964730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (1964730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (1964730)CaDiCaL version: 2.1.3
% 9.87/1.92 % (1964730)Termination reason: Instruction limit
% 9.87/1.92 % (1964730)Termination phase: Saturation
% 9.87/1.92 % (1964730)Time elapsed: 0.039 s
% 9.87/1.92 % (1964730)Peak memory usage: 13 MB
% 9.87/1.92 % (1964730)Instructions burned: 76 (million)
% 9.87/1.92 % (1964734)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2597485798:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/387Mi)
% 9.87/1.92 % (1964729)Instruction limit reached!
% 9.87/1.92 % (1964729)------------------------------
% 9.87/1.92 % (1964729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (1964729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (1964729)CaDiCaL version: 2.1.3
% 9.87/1.92 % (1964729)Termination reason: Instruction limit
% 9.87/1.92 % (1964729)Termination phase: Saturation
% 9.87/1.92 % (1964729)Time elapsed: 0.072 s
% 9.87/1.92 % (1964729)Peak memory usage: 13 MB
% 9.87/1.92 % (1964729)Instructions burned: 154 (million)
% 9.87/1.92 % (1964734)Refutation not found, incomplete strategy
% 9.87/1.92 % (1964734)------------------------------
% 9.87/1.92 % (1964734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (1964734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (1964734)CaDiCaL version: 2.1.3
% 9.87/1.92 % (1964734)Termination reason: Refutation not found, incomplete strategy
% 9.87/1.92 % (1964734)Time elapsed: 0.019 s
% 9.87/1.92 % (1964734)Peak memory usage: 12 MB
% 9.87/1.92 % (1964734)Instructions burned: 40 (million)
% 9.87/1.92 % (1964736)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=3632083042:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 9.87/1.92 % (1964734)------------------------------
% 9.87/1.92 % (1964734)------------------------------
% 9.87/1.92 % (1964738)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1618549790:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 9.87/1.92 % (1964736)Instruction limit reached!
% 9.87/1.92 % (1964736)------------------------------
% 9.87/1.92 % (1964736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (1964736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (1964736)CaDiCaL version: 2.1.3
% 9.87/1.92 % (1964736)Termination reason: Instruction limit
% 9.87/1.92 % (1964736)Termination phase: Saturation
% 9.87/1.92 % (1964736)Time elapsed: 0.074 s
% 9.87/1.92 % (1964736)Peak memory usage: 13 MB
% 9.87/1.92 % (1964736)Instructions burned: 150 (million)
% 9.87/1.92 % (1964728)Instruction limit reached!
% 9.87/1.92 % (1964728)------------------------------
% 9.87/1.92 % (1964728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (1964728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (1964728)CaDiCaL version: 2.1.3
% 9.87/1.92 % (1964728)Termination reason: Instruction limit
% 9.87/1.92 % (1964728)Termination phase: Saturation
% 9.87/1.92 % (1964728)Time elapsed: 0.169 s
% 9.87/1.92 % (1964728)Peak memory usage: 13 MB
% 9.87/1.92 % (1964728)Instructions burned: 348 (million)
% 9.87/1.92 % (1964740)lrs+10_1_sil=128000:si=on:random_seed=1082957787:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 9.87/1.92 % (1964741)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1564865429:i=136:add=on:ins=4:rtra=on:sup=off_2987 on theBenchmark for (2987ds/136Mi)
% 12.57/2.07 % (1964738)Instruction limit reached!
% 12.57/2.07 % (1964738)------------------------------
% 12.57/2.07 % (1964738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964738)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964738)Termination reason: Instruction limit
% 12.57/2.07 % (1964738)Termination phase: Saturation
% 12.57/2.07 % (1964738)Time elapsed: 0.081 s
% 12.57/2.07 % (1964738)Peak memory usage: 12 MB
% 12.57/2.07 % (1964738)Instructions burned: 162 (million)
% 12.57/2.07 % (1964741)Refutation not found, incomplete strategy
% 12.57/2.07 % (1964741)------------------------------
% 12.57/2.07 % (1964741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964741)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964741)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.07 % (1964741)Time elapsed: 0.020 s
% 12.57/2.07 % (1964741)Peak memory usage: 12 MB
% 12.57/2.07 % (1964741)Instructions burned: 43 (million)
% 12.57/2.07 % (1964741)------------------------------
% 12.57/2.07 % (1964741)------------------------------
% 12.57/2.07 % (1964744)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=3654973634:i=88:s2at=3:nm=2:rtra=on:rawr=on_2987 on theBenchmark for (2987ds/88Mi)
% 12.57/2.07 % (1964745)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=298165205:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/93Mi)
% 12.57/2.07 % (1964744)Instruction limit reached!
% 12.57/2.07 % (1964744)------------------------------
% 12.57/2.07 % (1964744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964744)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964744)Termination reason: Instruction limit
% 12.57/2.07 % (1964744)Termination phase: Saturation
% 12.57/2.07 % (1964744)Time elapsed: 0.043 s
% 12.57/2.07 % (1964744)Peak memory usage: 13 MB
% 12.57/2.07 % (1964744)Instructions burned: 89 (million)
% 12.57/2.07 % (1964745)Instruction limit reached!
% 12.57/2.07 % (1964745)------------------------------
% 12.57/2.07 % (1964745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964745)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964745)Termination reason: Instruction limit
% 12.57/2.07 % (1964745)Termination phase: Saturation
% 12.57/2.07 % (1964745)Time elapsed: 0.045 s
% 12.57/2.07 % (1964745)Peak memory usage: 12 MB
% 12.57/2.07 % (1964745)Instructions burned: 94 (million)
% 12.57/2.07 % (1964748)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4108224038:i=2186:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/2186Mi)
% 12.57/2.07 % (1964750)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=596889197:s2a=on:i=240:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/240Mi)
% 12.57/2.07 % (1964721)Instruction limit reached!
% 12.57/2.07 % (1964721)------------------------------
% 12.57/2.07 % (1964721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964721)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964721)Termination reason: Instruction limit
% 12.57/2.07 % (1964721)Termination phase: Saturation
% 12.57/2.07 % (1964721)Time elapsed: 0.426 s
% 12.57/2.07 % (1964721)Peak memory usage: 16 MB
% 12.57/2.07 % (1964721)Instructions burned: 867 (million)
% 12.57/2.07 % (1964752)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2240575820:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 12.57/2.07 % (1964752)Refutation not found, incomplete strategy
% 12.57/2.07 % (1964752)------------------------------
% 12.57/2.07 % (1964752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964752)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964752)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.07 % (1964752)Time elapsed: 0.031 s
% 12.57/2.07 % (1964752)Peak memory usage: 12 MB
% 12.57/2.07 % (1964752)Instructions burned: 62 (million)
% 12.57/2.07 % (1964752)------------------------------
% 12.57/2.07 % (1964752)------------------------------
% 12.57/2.07 % (1964754)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.57/2.07 % (1964754)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=3629415547:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 12.57/2.07 % (1964754)Refutation not found, incomplete strategy
% 12.57/2.07 % (1964754)------------------------------
% 12.57/2.07 % (1964754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964754)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964754)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.07 % (1964754)Time elapsed: 0.012 s
% 12.57/2.07 % (1964754)Peak memory usage: 12 MB
% 12.57/2.07 % (1964754)Instructions burned: 25 (million)
% 12.57/2.07 % (1964754)------------------------------
% 12.57/2.07 % (1964754)------------------------------
% 12.57/2.07 % (1964756)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=4136418245:i=355:av=off:fsr=off:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/355Mi)
% 12.57/2.07 % (1964750)Instruction limit reached!
% 12.57/2.07 % (1964750)------------------------------
% 12.57/2.07 % (1964750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964750)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964750)Termination reason: Instruction limit
% 12.57/2.07 % (1964750)Termination phase: Saturation
% 12.57/2.07 % (1964750)Time elapsed: 0.117 s
% 12.57/2.07 % (1964750)Peak memory usage: 13 MB
% 12.57/2.07 % (1964750)Instructions burned: 241 (million)
% 12.57/2.07 % (1964758)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3292496823:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 12.57/2.07 % (1964758)Refutation not found, incomplete strategy
% 12.57/2.07 % (1964758)------------------------------
% 12.57/2.07 % (1964758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964758)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964758)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.07 % (1964758)Time elapsed: 0.006 s
% 12.57/2.07 % (1964758)Peak memory usage: 12 MB
% 12.57/2.07 % (1964758)Instructions burned: 11 (million)
% 12.57/2.07 % (1964758)------------------------------
% 12.57/2.07 % (1964758)------------------------------
% 12.57/2.07 % (1964704)Instruction limit reached!
% 12.57/2.07 % (1964704)------------------------------
% 12.57/2.07 % (1964704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964704)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964704)Termination reason: Instruction limit
% 12.57/2.07 % (1964704)Termination phase: Saturation
% 12.57/2.07 % (1964704)Time elapsed: 0.690 s
% 12.57/2.07 % (1964704)Peak memory usage: 15 MB
% 12.57/2.07 % (1964704)Instructions burned: 1441 (million)
% 12.57/2.07 % (1964760)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2478943415:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 12.57/2.07 % (1964761)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=4262964810:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2984 on theBenchmark for (2984ds/2470Mi)
% 12.57/2.07 % (1964756)Instruction limit reached!
% 12.57/2.07 % (1964756)------------------------------
% 12.57/2.07 % (1964756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964756)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964756)Termination reason: Instruction limit
% 12.57/2.07 % (1964756)Termination phase: Saturation
% 12.57/2.07 % (1964756)Time elapsed: 0.157 s
% 12.57/2.07 % (1964756)Peak memory usage: 12 MB
% 12.57/2.07 % (1964756)Instructions burned: 356 (million)
% 12.57/2.07 % (1964760)Instruction limit reached!
% 12.57/2.07 % (1964760)------------------------------
% 12.57/2.07 % (1964760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964760)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964760)Termination reason: Instruction limit
% 12.57/2.07 % (1964760)Termination phase: Saturation
% 12.57/2.07 % (1964760)Time elapsed: 0.103 s
% 12.57/2.07 % (1964760)Peak memory usage: 11 MB
% 12.57/2.07 % (1964760)Instructions burned: 253 (million)
% 12.57/2.07 % (1964765)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=836661088:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 12.57/2.07 % (1964764)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1284790937:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2983 on theBenchmark for (2983ds/673Mi)
% 12.57/2.07 % (1964740)Instruction limit reached!
% 12.57/2.07 % (1964740)------------------------------
% 12.57/2.07 % (1964740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964740)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964740)Termination reason: Instruction limit
% 12.57/2.07 % (1964740)Termination phase: Saturation
% 12.57/2.07 % (1964740)Time elapsed: 0.430 s
% 12.57/2.07 % (1964740)Peak memory usage: 16 MB
% 12.57/2.07 % (1964740)Instructions burned: 889 (million)
% 12.57/2.07 % (1964765)Instruction limit reached!
% 12.57/2.07 % (1964765)------------------------------
% 12.57/2.07 % (1964765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964765)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964765)Termination reason: Instruction limit
% 12.57/2.07 % (1964765)Termination phase: Saturation
% 12.57/2.07 % (1964765)Time elapsed: 0.057 s
% 12.57/2.07 % (1964765)Peak memory usage: 12 MB
% 12.57/2.07 % (1964765)Instructions burned: 118 (million)
% 12.57/2.07 % (1964768)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3916908986:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2982 on theBenchmark for (2982ds/270Mi)
% 12.57/2.07 % (1964769)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=989561689:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/30Mi)
% 12.57/2.07 % (1964769)Instruction limit reached!
% 12.57/2.07 % (1964769)------------------------------
% 12.57/2.07 % (1964769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964769)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964769)Termination reason: Instruction limit
% 12.57/2.07 % (1964769)Termination phase: Saturation
% 12.57/2.07 % (1964769)Time elapsed: 0.018 s
% 12.57/2.07 % (1964769)Peak memory usage: 13 MB
% 12.57/2.07 % (1964769)Instructions burned: 31 (million)
% 12.57/2.07 % (1964748) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1964525-1964748"...
% 12.57/2.07 % (1964772)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.57/2.07 % (1964772)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3316185688:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 12.57/2.07 % (1964748)...printing done.
% 12.57/2.07 % (1964748)Refutation found. Thanks to Tanya!
% 12.57/2.07 % SZS status Theorem for theBenchmark
% 12.57/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 12.57/2.07 % (1964748)------------------------------
% 12.57/2.07 % (1964748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/2.07 % (1964748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.07 % (1964748)CaDiCaL version: 2.1.3
% 12.57/2.07 % (1964748)Termination reason: Refutation
% 12.57/2.07 % (1964748)Time elapsed: 0.420 s
% 12.57/2.07 % (1964748)Peak memory usage: 14 MB
% 12.57/2.07 % (1964748)Instructions burned: 877 (million)
% 12.57/2.07 % (1964525)Success in time 1.806 s
% 12.57/2.07 % Vampire exiting
%------------------------------------------------------------------------------