%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO063^4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:46:26 AM UTC 2026
% Result : Theorem 17.86s 2.94s
% Output : Refutation 17.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 28
% Syntax : Number of formulae : 305 ( 97 unt; 0 typ; 13 def)
% Number of atoms : 3071 ( 591 equ; 0 cnn)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 4181 ( 289 ~; 623 |; 43 &;2691 @)
% ( 13 <=>; 272 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 57 usr; 18 con; 0-4 aty)
% ( 250 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 731 ( 0 sgn 247 !; 0 ?; 731 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
irel: $i > $i > $o ).
thf(func_def_2,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
iatom: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
inot: ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
itrue: $i > $o ).
thf(func_def_10,type,
ifalse: $i > $o ).
thf(func_def_11,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_16,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
ivalid: ( $i > $o ) > $o ).
thf(func_def_18,type,
isatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_20,type,
iinvalid: ( $i > $o ) > $o ).
thf(func_def_21,type,
p: $i > $o ).
thf(func_def_22,type,
q: $i > $o ).
thf(func_def_23,type,
r: $i > $o ).
thf(func_def_24,type,
s: $i > $o ).
thf(func_def_25,type,
t: $i > $o ).
thf(func_def_26,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_29,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_30,type,
vNOT: $o > $o ).
thf(func_def_31,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_34,type,
vAND: $o > $o > $o ).
thf(func_def_35,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
vIMP: $o > $o > $o ).
thf(func_def_37,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
sK3: $i > $i ).
thf(func_def_42,type,
sK4: $i > $i ).
thf(func_def_43,type,
sK5: $i > $i ).
thf(func_def_44,type,
sK6: $i > $i ).
thf(func_def_45,type,
sK7: $i > $i ).
thf(func_def_46,type,
sK8: $i > $i ).
thf(f1,axiom,
! [X0: $i] : ( irel @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',refl_axiom) ).
thf(f2,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X0 @ X1 ) )
=> ( irel @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',trans_axiom) ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mor) ).
thf(f5,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mand) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mimplies) ).
thf(f7,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox_s4 ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o] : X0 )
= iatom ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(f9,axiom,
( ( ^ [X0: $i > $o] : ( mnot @ ( mbox_s4 @ X0 ) ) )
= inot ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',inot) ).
thf(f12,axiom,
( iand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mand @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iand) ).
thf(f14,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mimplies @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) )
= iimplies ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iimplies) ).
thf(f18,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(f22,axiom,
ivalid @ ( iatom @ s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
thf(f23,axiom,
ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) @ ( iatom @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
thf(f24,conjecture,
ivalid @ ( iimplies @ ( inot @ ( iand @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) ) @ ( iand @ ( inot @ ( inot @ ( iatom @ p ) ) ) @ ( iand @ ( iatom @ s ) @ ( iatom @ s ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f25,negated_conjecture,
~ ( ivalid @ ( iimplies @ ( inot @ ( iand @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) ) @ ( iand @ ( inot @ ( inot @ ( iatom @ p ) ) ) @ ( iand @ ( iatom @ s ) @ ( iatom @ s ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
thf(f26,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f30,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
inference(rectify,[],[f18]) ).
thf(f31,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f32,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f33,plain,
~ ( ivalid @ ( iimplies @ ( inot @ ( iand @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) ) @ ( iand @ ( inot @ ( inot @ ( iatom @ p ) ) ) @ ( iand @ ( iatom @ s ) @ ( iatom @ s ) ) ) ) ),
inference(rectify,[],[f25]) ).
thf(f34,plain,
( $true
= ( ~ ( ivalid @ ( iimplies @ ( inot @ ( iand @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) ) @ ( iand @ ( inot @ ( inot @ ( iatom @ p ) ) ) @ ( iand @ ( iatom @ s ) @ ( iatom @ s ) ) ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f36,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f35]) ).
thf(f37,plain,
ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) @ ( iatom @ p ) ),
inference(rectify,[],[f23]) ).
thf(f38,plain,
( ( ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) @ ( iatom @ p ) ) )
= $true ),
inference(fool_elimination,[],[f37]) ).
thf(f39,plain,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox_s4 ),
inference(rectify,[],[f7]) ).
thf(f40,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f43,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f44,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f45,plain,
ivalid @ ( iatom @ s ),
inference(rectify,[],[f22]) ).
thf(f46,plain,
( ( ivalid @ ( iatom @ s ) )
= $true ),
inference(fool_elimination,[],[f45]) ).
thf(f50,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f51,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f52,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f55,plain,
( inot
= ( ^ [Y0: $i > $o] : ( mnot @ ( mbox_s4 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X0 @ X1 ) )
=> ( irel @ X0 @ X2 ) ),
inference(rectify,[],[f2]) ).
thf(f57,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y1 )
& ( irel @ Y1 @ Y0 ) )
=> ( irel @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(rectify,[],[f1]) ).
thf(f59,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) )
= $true ),
inference(fool_elimination,[],[f58]) ).
thf(f61,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f63,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f64,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f65,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y1 )
& ( irel @ Y1 @ Y0 ) )
=> ( irel @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f57]) ).
thf(f66,plain,
( $true
= ( ~ ( ivalid @ ( iimplies @ ( inot @ ( iand @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) ) @ ( iand @ ( inot @ ( inot @ ( iatom @ p ) ) ) @ ( iand @ ( iatom @ s ) @ ( iatom @ s ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f67,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f68,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f71,plain,
( ( ivalid @ ( iatom @ s ) )
= $true ),
inference(cnf_transformation,[],[f46]) ).
thf(f72,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f73,plain,
( inot
= ( ^ [Y0: $i > $o] : ( mnot @ ( mbox_s4 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f75,plain,
( ( ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ t ) @ ( iatom @ r ) ) ) @ ( iatom @ p ) ) )
= $true ),
inference(cnf_transformation,[],[f38]) ).
thf(f80,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f81,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f82,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) )
= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f84,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f86,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f89,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,[],[f68,f63,f64]) ).
thf(f90,plain,
( inot
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f73,f64,f80]) ).
thf(f92,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) ) ),
inference(definition_unfolding,[],[f81,f86]) ).
thf(f94,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f72,f89,f80,f80]) ).
thf(f98,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ Y0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ p )
@ ( ^ [Y0: $i > $o] : Y0
@ q ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ t )
@ ( ^ [Y0: $i > $o] : Y0
@ r ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ Y0 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ Y0 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ p ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o] : Y0
@ s )
@ ( ^ [Y0: $i > $o] : Y0
@ s ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f66,f84,f94,f90,f92,f94,f67,f67,f94,f67,f67,f92,f90,f90,f67,f92,f67,f67]) ).
thf(f99,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ s ) )
= $true ),
inference(definition_unfolding,[],[f71,f84,f67]) ).
thf(f100,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ Y0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ t )
@ ( ^ [Y0: $i > $o] : Y0
@ r ) ) )
@ ( ^ [Y0: $i > $o] : Y0
@ p ) ) ) ),
inference(definition_unfolding,[],[f75,f84,f94,f90,f94,f67,f67,f67]) ).
thf(f101,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f100]) ).
thf(f102,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( s @ Y1 )
& ( s @ Y1 )
& ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) )
& ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( q @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f98]) ).
thf(f103,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( s @ Y1 )
& ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) )
& ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( q @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f102]) ).
thf(f104,plain,
( ( !! @ $i @ s )
= $true ),
inference(beta-eta_normalization,[],[f99]) ).
thf(f105,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( s @ Y1 )
& ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) )
& ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( q @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f103]) ).
thf(f106,plain,
( $false
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( s @ Y1 )
& ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) )
& ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( q @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p @ Y3 ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f105]) ).
thf(f107,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( s @ Y0 )
& ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) )
& ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f106]) ).
thf(f108,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) )
& ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f107]) ).
thf(f109,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( s @ Y0 )
& ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f107]) ).
thf(f110,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) )
& ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f108]) ).
thf(f111,plain,
( $false
= ( ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( s @ Y0 )
& ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f109]) ).
thf(f112,plain,
( $false
= ( ( irel @ sK0 @ sK1 )
=> ( ( s @ sK1 )
& ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f111]) ).
thf(f113,plain,
( $false
= ( ( s @ sK1 )
& ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f112]) ).
thf(f114,plain,
( ( irel @ sK0 @ sK1 )
= $true ),
inference(imp_proxy_clausification,[],[f112]) ).
thf(f115,plain,
( ( $false
= ( s @ sK1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f113]) ).
thf(f116,plain,
( ( $false
= ( s @ sK1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f115]) ).
thf(f118,definition,
( spl2_1
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f120,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) )
= $true )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f122,definition,
( spl2_2
<=> ( $false
= ( s @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f124,plain,
( ( $false
= ( s @ sK1 ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f122]) ).
thf(f125,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f116,f122,f118]) ).
thf(f126,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) )
& ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( q @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p @ Y2 ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f110]) ).
thf(f127,plain,
! [X1: $i] :
( ( ( irel @ sK0 @ X1 )
=> ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) )
& ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f128,plain,
! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) )
& ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) )
& ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f128]) ).
thf(f143,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) )
& ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( q @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) ) ) )
@ ( sK3 @ X1 ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f129]) ).
thf(f145,plain,
! [X1: $i] :
( ( ( ( irel @ X1 @ ( sK3 @ X1 ) )
=> ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) ) )
& ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( q @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) ) )
= $false )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f143]) ).
thf(f147,plain,
! [X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) ) )
& ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( q @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f145]) ).
thf(f148,plain,
! [X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK3 @ X1 ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f145]) ).
thf(f149,plain,
! [X1: $i] :
( ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) ) ) )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( q @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f147]) ).
thf(f150,plain,
! [X1: $i] :
( ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( q @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f149]) ).
thf(f151,plain,
! [X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( q @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f149]) ).
thf(f152,plain,
! [X1: $i] :
( ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f151]) ).
thf(f154,plain,
! [X1: $i] :
( ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f150]) ).
thf(f156,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f152]) ).
thf(f158,plain,
! [X1: $i] :
( ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f154]) ).
thf(f159,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X1: $i] :
( ( s @ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f104]) ).
thf(f168,plain,
( ( $false = $true )
| ~ spl2_2 ),
inference(superposition,[],[f124,f160]) ).
thf(f171,plain,
( $false
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f168]) ).
thf(f172,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f171]) ).
thf(f174,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl2_1 ),
inference(pi_proxy_clausification,[],[f120]) ).
thf(f175,plain,
( ! [X1: $i] :
( $true
= ( ( irel @ sK1 @ X1 )
=> ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ~ spl2_1 ),
inference(beta-eta_normalization,[],[f174]) ).
thf(f176,plain,
( ! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f175]) ).
thf(f177,plain,
( ! [X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(not_proxy_clausification,[],[f176]) ).
thf(f178,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( irel @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f82]) ).
thf(f179,plain,
! [X1: $i] :
( ( irel @ X1 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f180,plain,
( ! [X1: $i] :
( ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ ( sK5 @ X1 ) ) ) )
| ~ spl2_1 ),
inference(sigma_proxy_clausification,[],[f177]) ).
thf(f183,plain,
( ! [X1: $i] :
( ( $false
= ( ( irel @ X1 @ ( sK5 @ X1 ) )
=> ( p @ ( sK5 @ X1 ) ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f184,plain,
( ! [X1: $i] :
( ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( p @ ( sK5 @ X1 ) ) ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f183]) ).
thf(f185,plain,
( ! [X1: $i] :
( ( ( irel @ X1 @ ( sK5 @ X1 ) )
= $true )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(imp_proxy_clausification,[],[f183]) ).
thf(f210,plain,
( ( $false
= ( p @ ( sK5 @ sK1 ) ) )
| ( $false = $true )
| ~ spl2_1 ),
inference(superposition,[],[f179,f184]) ).
thf(f212,plain,
( ( $false
= ( p @ ( sK5 @ sK1 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f216,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y1 )
& ( irel @ Y1 @ Y0 ) )
=> ( irel @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f65]) ).
thf(f217,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ Y1 @ Y0 )
& ( irel @ Y0 @ X1 ) )
=> ( irel @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f224,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ Y1 @ Y0 )
& ( irel @ Y0 @ X1 ) )
=> ( irel @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f217]) ).
thf(f225,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( irel @ Y0 @ X2 )
& ( irel @ X2 @ X1 ) )
=> ( irel @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f224]) ).
thf(f226,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( ( irel @ Y0 @ X2 )
& ( irel @ X2 @ X1 ) )
=> ( irel @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f225]) ).
thf(f227,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X3 @ X2 )
& ( irel @ X2 @ X1 ) )
=> ( irel @ X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f226]) ).
thf(f228,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( irel @ X3 @ X1 ) )
| ( $false
= ( ( irel @ X3 @ X2 )
& ( irel @ X2 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f227]) ).
thf(f229,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( irel @ X3 @ X1 ) )
| ( $false
= ( irel @ X2 @ X1 ) )
| ( $false
= ( irel @ X3 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f228]) ).
thf(f238,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) )
@ X2 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f156]) ).
thf(f239,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) )
| ( ( ( irel @ ( sK3 @ X1 ) @ X2 )
=> ( p @ X2 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f238]) ).
thf(f240,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f239]) ).
thf(f241,plain,
( ! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( p @ ( sK5 @ X0 ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( irel @ X1 @ X0 ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f229,f184]) ).
thf(f245,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( p @ ( sK5 @ X0 ) ) )
| ( $false
= ( irel @ X1 @ X0 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f241]) ).
thf(f275,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( r @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f101]) ).
thf(f276,plain,
! [X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f275]) ).
thf(f277,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f276]) ).
thf(f278,plain,
! [X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) ) ) ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f277]) ).
thf(f327,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( r @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) ) ) ) ) )
@ ( sK7 @ X1 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f278]) ).
thf(f329,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( ( irel @ X1 @ ( sK7 @ X1 ) )
=> ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK7 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f327]) ).
thf(f331,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK7 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f329]) ).
thf(f332,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ ( sK7 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f329]) ).
thf(f333,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK7 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f331]) ).
thf(f334,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( p @ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( r @ Y0 ) )
@ ( sK4 @ X1 ) ) )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f240]) ).
thf(f337,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $false
= ( ( irel @ ( sK3 @ X1 ) @ ( sK4 @ X1 ) )
=> ( r @ ( sK4 @ X1 ) ) ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $true
= ( p @ X2 ) ) ),
inference(beta-eta_normalization,[],[f334]) ).
thf(f338,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $false
= ( r @ ( sK4 @ X1 ) ) )
| ( $true
= ( p @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f337]) ).
thf(f339,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ ( sK3 @ X1 ) @ ( sK4 @ X1 ) )
= $true )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $true
= ( p @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f337]) ).
thf(f340,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ X2 )
= $true )
| ( ( irel @ X1 @ ( sK7 @ X1 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f332]) ).
thf(f341,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( irel @ X1 @ X2 )
=> ( p @ X2 ) ) )
| ( ( irel @ X1 @ ( sK7 @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f340]) ).
thf(f342,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ ( sK7 @ X1 ) )
= $true )
| ( $true
= ( p @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f341]) ).
thf(f371,plain,
( ! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( p @ ( sK5 @ X0 ) ) )
| ( ( p @ X1 )
= $true )
| ( $false
= ( irel @ ( sK7 @ sK1 ) @ X0 ) )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f245,f342]) ).
thf(f377,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( p @ ( sK5 @ X0 ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( irel @ ( sK7 @ sK1 ) @ X0 ) )
| ( ( p @ X1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f390,definition,
( spl2_11
<=> ! [X1: $i] :
( ( $false
= ( irel @ ( sK7 @ sK1 ) @ X1 ) )
| ( $false
= ( p @ ( sK5 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f391,plain,
( ! [X1: $i] :
( ( $false
= ( irel @ ( sK7 @ sK1 ) @ X1 ) )
| ( $false
= ( p @ ( sK5 @ X1 ) ) ) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f390]) ).
thf(f393,definition,
( spl2_12
<=> ! [X0: $i] :
( ( $false
= ( irel @ sK1 @ X0 ) )
| ( $true
= ( p @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f394,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK1 @ X0 ) )
| ( $true
= ( p @ X0 ) ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f393]) ).
thf(f396,plain,
( spl2_12
| spl2_11
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f377,f118,f390,f393]) ).
thf(f404,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( p @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f159]) ).
thf(f405,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) )
= $true )
| ( ( ( irel @ ( sK3 @ X1 ) @ X2 )
=> ( p @ X2 ) )
= $true )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f404]) ).
thf(f406,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ sK0 @ X1 ) )
| ( $true
= ( p @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f405]) ).
thf(f407,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ ( sK7 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( r @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) ) ) )
@ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f333]) ).
thf(f408,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $true
= ( ( irel @ ( sK7 @ X1 ) @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( t @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f407]) ).
thf(f409,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( t @ Y0 ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f408]) ).
thf(f410,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( t @ Y0 ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f409]) ).
thf(f411,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( t @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) ) ),
inference(not_proxy_clausification,[],[f410]) ).
thf(f416,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK3 @ X1 ) @ Y0 )
=> ( t @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $true
= ( p @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f406]) ).
thf(f417,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ X1 ) )
| ( $true
= ( ( irel @ ( sK3 @ X1 ) @ X3 )
=> ( t @ X3 ) ) )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $true
= ( p @ X2 ) ) ),
inference(beta-eta_normalization,[],[f416]) ).
thf(f418,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ X1 ) @ X3 ) )
| ( $true
= ( t @ X3 ) )
| ( $false
= ( irel @ ( sK3 @ X1 ) @ X2 ) )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ sK0 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f417]) ).
thf(f419,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( t @ Y0 ) )
@ ( sK8 @ X2 ) ) )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) ) ),
inference(sigma_proxy_clausification,[],[f411]) ).
thf(f422,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( irel @ X2 @ ( sK8 @ X2 ) )
=> ( t @ ( sK8 @ X2 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) ) ),
inference(beta-eta_normalization,[],[f419]) ).
thf(f423,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( t @ ( sK8 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f422]) ).
thf(f424,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f422]) ).
thf(f449,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) )
@ X3 ) )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f423]) ).
thf(f450,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( $true
= ( ( irel @ X2 @ X3 )
=> ( r @ X3 ) ) )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) ) ),
inference(beta-eta_normalization,[],[f449]) ).
thf(f451,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( ( r @ X3 )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f450]) ).
thf(f457,plain,
( ( $false = $true )
| ( $false
= ( irel @ sK1 @ sK1 ) )
| ( $true
= ( p @ ( sK5 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_12 ),
inference(superposition,[],[f394,f185]) ).
thf(f477,plain,
( ( $true
= ( p @ ( sK5 @ sK1 ) ) )
| ( $false
= ( irel @ sK1 @ sK1 ) )
| ~ spl2_1
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f484,plain,
( ( $false = $true )
| ( $false
= ( irel @ sK1 @ sK1 ) )
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f477,f212]) ).
thf(f485,plain,
( ( $false
= ( irel @ sK1 @ sK1 ) )
| ~ spl2_1
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f484]) ).
thf(f489,plain,
( ( $false = $true )
| ~ spl2_1
| ~ spl2_12 ),
inference(forward_demodulation,[],[f485,f179]) ).
thf(f490,plain,
( $false
| ~ spl2_1
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f489]) ).
thf(f491,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f490]) ).
thf(f494,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( r @ X3 )
= $true )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ X4 ) )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( $false
= ( irel @ X2 @ X3 ) ) ),
inference(pi_proxy_clausification,[],[f451]) ).
thf(f495,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( r @ X3 )
= $true )
| ( $false
= ( irel @ X2 @ X3 ) )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( ( ( irel @ X1 @ X4 )
=> ( p @ X4 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f494]) ).
thf(f496,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $false
= ( t @ ( sK8 @ X2 ) ) )
| ( ( r @ X3 )
= $true )
| ( $false
= ( irel @ X2 @ X3 ) )
| ( $false
= ( irel @ X1 @ X4 ) )
| ( $true
= ( p @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f495]) ).
thf(f550,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $false = $true )
| ( $true
= ( r @ X1 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) ) ),
inference(superposition,[],[f496,f148]) ).
thf(f560,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( r @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f619,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( r @ Y0 ) )
@ X3 ) )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f424]) ).
thf(f620,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $true
= ( ( irel @ X2 @ X3 )
=> ( r @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f619]) ).
thf(f621,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) ) )
= $true )
| ( $false
= ( irel @ X2 @ X3 ) )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( ( r @ X3 )
= $true ) ),
inference(imp_proxy_clausification,[],[f620]) ).
thf(f622,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( p @ Y0 ) )
@ X4 ) )
| ( ( r @ X3 )
= $true )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( $false
= ( irel @ X2 @ X3 ) ) ),
inference(pi_proxy_clausification,[],[f621]) ).
thf(f623,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( ( ( irel @ X1 @ X4 )
=> ( p @ X4 ) )
= $true )
| ( ( r @ X3 )
= $true )
| ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( $false
= ( irel @ X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f622]) ).
thf(f624,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( irel @ ( sK7 @ X1 ) @ X2 ) )
| ( ( irel @ X2 @ ( sK8 @ X2 ) )
= $true )
| ( $false
= ( irel @ X1 @ X4 ) )
| ( ( r @ X3 )
= $true )
| ( $false
= ( irel @ X2 @ X3 ) )
| ( $true
= ( p @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f623]) ).
thf(f643,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X2 ) )
| ( $false = $true )
| ( ( p @ X1 )
= $true )
| ( $true
= ( r @ X2 ) )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(superposition,[],[f148,f624]) ).
thf(f652,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X2 ) )
| ( ( p @ X1 )
= $true )
| ( $true
= ( r @ X2 ) )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f643]) ).
thf(f662,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false = $true )
| ( $true
= ( r @ X1 ) )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( ( p @ X3 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X3 ) ) ),
inference(superposition,[],[f652,f418]) ).
thf(f668,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false = $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( ( p @ X3 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ X1 ) )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X3 ) ) ),
inference(duplicate_literal_removal,[],[f662]) ).
thf(f669,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X3 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $true
= ( p @ X2 ) )
| ( ( p @ X3 )
= $true )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $true
= ( r @ X1 ) )
| ( ( irel @ X0 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f668]) ).
thf(f783,definition,
( spl2_20
<=> ( $false
= ( irel @ sK1 @ ( sK7 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f784,plain,
( ( $false
!= ( irel @ sK1 @ ( sK7 @ sK1 ) ) )
| spl2_20 ),
inference(avatar_component_clause,[],[f783]) ).
thf(f785,plain,
( ( $false
= ( irel @ sK1 @ ( sK7 @ sK1 ) ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f783]) ).
thf(f803,plain,
( ( $false = $true )
| ( $false
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ~ spl2_11 ),
inference(superposition,[],[f391,f148]) ).
thf(f826,plain,
( ( $false
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f803]) ).
thf(f828,definition,
( spl2_24
<=> ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f829,plain,
( ( $false
!= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| spl2_24 ),
inference(avatar_component_clause,[],[f828]) ).
thf(f830,plain,
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f828]) ).
thf(f832,definition,
( spl2_25
<=> ( $false
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
thf(f834,plain,
( ( $false
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f832]) ).
thf(f861,plain,
( spl2_24
| spl2_25
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f826,f390,f832,f828]) ).
thf(f920,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) )
| ( $false = $true ) )
| ~ spl2_20 ),
inference(superposition,[],[f785,f342]) ).
thf(f926,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK1 @ X0 ) )
| ( $true
= ( p @ X0 ) ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f920]) ).
thf(f930,plain,
( spl2_12
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f926,f783,f393]) ).
thf(f1006,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $false
= ( irel @ X0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ sK0 @ X0 ) ) )
| ~ spl2_24 ),
inference(superposition,[],[f229,f830]) ).
thf(f1007,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ X0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ sK0 @ X0 ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f1006]) ).
thf(f1455,plain,
( ! [X0: $i] :
( ( $false
= ( r @ ( sK4 @ X0 ) ) )
| ( $false
= ( irel @ sK1 @ ( sK3 @ X0 ) ) )
| ( $false
= ( irel @ sK0 @ X0 ) )
| ( $false = $true )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ X0 ) ) ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f185,f338]) ).
thf(f1470,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK1 @ ( sK3 @ X0 ) ) )
| ( $false
= ( irel @ sK0 @ X0 ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ X0 ) ) ) )
| ( $false
= ( r @ ( sK4 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1455]) ).
thf(f2145,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK0 @ sK1 ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_24 ),
inference(superposition,[],[f1007,f342]) ).
thf(f2153,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) )
| ( $false
= ( irel @ sK0 @ sK1 ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f2145]) ).
thf(f2161,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_24 ),
inference(forward_demodulation,[],[f2153,f114]) ).
thf(f2162,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f2161]) ).
thf(f2165,plain,
( spl2_12
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f2162,f828,f393]) ).
thf(f2171,definition,
( spl2_65
<=> ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_65])],[avatar_definition]) ).
thf(f2172,plain,
( ( $false
!= ( irel @ sK1 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| spl2_65 ),
inference(avatar_component_clause,[],[f2171]) ).
thf(f2173,plain,
( ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f2171]) ).
thf(f2175,definition,
( spl2_66
<=> ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_66])],[avatar_definition]) ).
thf(f2176,plain,
( ( $false
!= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| spl2_66 ),
inference(avatar_component_clause,[],[f2175]) ).
thf(f2177,plain,
( ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f2175]) ).
thf(f2673,definition,
( spl2_78
<=> ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_78])],[avatar_definition]) ).
thf(f2675,plain,
( ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f2673]) ).
thf(f3481,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( $false = $true )
| ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ X0 ) ) ) )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $true
= ( r @ X1 ) )
| ( ( p @ ( sK5 @ ( sK3 @ ( sK7 @ X0 ) ) ) )
= $true )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(superposition,[],[f185,f669]) ).
thf(f3504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ X0 ) ) ) )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ X0 ) ) ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ X1 ) )
| ( ( p @ ( sK5 @ ( sK3 @ ( sK7 @ X0 ) ) ) )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false
= ( irel @ sK0 @ ( sK7 @ X0 ) ) )
| ( $true
= ( p @ X2 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f3481]) ).
thf(f11835,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ X0 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| ( $false
= ( irel @ sK1 @ X0 ) )
| ( $false = $true ) )
| ~ spl2_65 ),
inference(superposition,[],[f2173,f229]) ).
thf(f11838,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ X0 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f11835]) ).
thf(f11849,plain,
( ( $false = $true )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ sK1 @ ( sK7 @ sK1 ) ) )
| ~ spl2_65 ),
inference(superposition,[],[f11838,f148]) ).
thf(f11861,plain,
( ( $false
= ( irel @ sK1 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ~ spl2_65 ),
inference(trivial_inequality_removal,[],[f11849]) ).
thf(f11864,plain,
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| spl2_20
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f11861,f784]) ).
thf(f11867,plain,
( $false
| spl2_20
| spl2_24
| ~ spl2_65 ),
inference(forward_subsumption_resolution,[],[f11864,f829]) ).
thf(f11868,plain,
( spl2_20
| spl2_24
| ~ spl2_65 ),
inference(avatar_contradiction_clause,[],[f11867]) ).
thf(f11871,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( ( p @ X1 )
= $true )
| ( $false != $false )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_65 ),
inference(superposition,[],[f2172,f3504]) ).
thf(f11882,plain,
( ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ( $false != $false )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ~ spl2_1
| spl2_65 ),
inference(superposition,[],[f2172,f1470]) ).
thf(f11890,plain,
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_65 ),
inference(trivial_inequality_removal,[],[f11882]) ).
thf(f11899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( ( p @ X1 )
= $true )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_65 ),
inference(trivial_inequality_removal,[],[f11871]) ).
thf(f11907,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( ( p @ X1 )
= $true )
| ( ( r @ X0 )
= $true )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_24
| spl2_65 ),
inference(forward_subsumption_resolution,[],[f11899,f829]) ).
thf(f11911,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ sK1 @ X1 ) )
| ( ( p @ X1 )
= $true )
| ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false = $true )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65 ),
inference(forward_demodulation,[],[f11907,f834]) ).
thf(f11912,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 )
= $true )
| ( ( p @ X1 )
= $true )
| ( $true
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false
= ( irel @ sK1 @ X1 ) ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65 ),
inference(trivial_inequality_removal,[],[f11911]) ).
thf(f11922,definition,
( spl2_216
<=> ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $true
= ( p @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f11923,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $true
= ( p @ X0 ) ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f11922]) ).
thf(f11925,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ sK1 @ X1 ) )
| ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( ( p @ X1 )
= $true )
| ( $false = $true ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65
| ~ spl2_66 ),
inference(forward_demodulation,[],[f11912,f2177]) ).
thf(f11930,definition,
( spl2_217
<=> ! [X0: $i] :
( ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_217])],[avatar_definition]) ).
thf(f11931,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( ( r @ X0 )
= $true ) )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f11930]) ).
thf(f11957,plain,
( ! [X0: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( ( r @ X0 )
= $true )
| ( $false
= ( irel @ sK1 @ X1 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65
| ~ spl2_66 ),
inference(trivial_inequality_removal,[],[f11925]) ).
thf(f11959,plain,
( spl2_12
| spl2_217
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f11957,f2175,f2171,f832,f828,f118,f11930,f393]) ).
thf(f12053,definition,
( spl2_227
<=> ( ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_227])],[avatar_definition]) ).
thf(f12054,plain,
( ( ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ ( sK4 @ ( sK7 @ sK1 ) ) )
!= $true )
| spl2_227 ),
inference(avatar_component_clause,[],[f12053]) ).
thf(f12055,plain,
( ( ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f12053]) ).
thf(f12078,plain,
( ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| ( $false = $true )
| ~ spl2_1
| ~ spl2_216 ),
inference(superposition,[],[f11923,f185]) ).
thf(f12118,plain,
( ( $false
= ( irel @ sK1 @ ( sK3 @ ( sK7 @ sK1 ) ) ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f12078]) ).
thf(f12138,plain,
( ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_65
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f12118,f2172]) ).
thf(f12153,plain,
( ( $false = $true )
| ~ spl2_1
| ~ spl2_25
| spl2_65
| ~ spl2_216 ),
inference(forward_demodulation,[],[f12138,f834]) ).
thf(f12154,plain,
( $false
| ~ spl2_1
| ~ spl2_25
| spl2_65
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f12153]) ).
thf(f12155,plain,
( ~ spl2_1
| ~ spl2_25
| spl2_65
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f12154]) ).
thf(f12558,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $true
= ( p @ X0 ) )
| ( $false = $true ) )
| ~ spl2_217 ),
inference(superposition,[],[f11931,f339]) ).
thf(f12584,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $true
= ( p @ X0 ) ) )
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f12558]) ).
thf(f12606,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $true
= ( p @ X0 ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true ) )
| spl2_24
| ~ spl2_217 ),
inference(forward_subsumption_resolution,[],[f12584,f829]) ).
thf(f12615,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false = $true )
| ( $true
= ( p @ X0 ) ) )
| spl2_24
| ~ spl2_78
| ~ spl2_217 ),
inference(forward_demodulation,[],[f12606,f2675]) ).
thf(f12616,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) ) )
| spl2_24
| ~ spl2_78
| ~ spl2_217 ),
inference(trivial_inequality_removal,[],[f12615]) ).
thf(f12628,plain,
( spl2_216
| spl2_24
| ~ spl2_78
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f12616,f11930,f2673,f828,f11922]) ).
thf(f12630,plain,
( ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ( $true
= ( p @ ( sK5 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_24
| spl2_65 ),
inference(forward_subsumption_resolution,[],[f11890,f829]) ).
thf(f12641,plain,
( ( $false = $true )
| ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65 ),
inference(forward_demodulation,[],[f12630,f834]) ).
thf(f12642,plain,
( ( $false
= ( r @ ( sK4 @ ( sK7 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65 ),
inference(trivial_inequality_removal,[],[f12641]) ).
thf(f12646,plain,
( spl2_78
| ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65 ),
inference(avatar_split_clause,[],[f12642,f2171,f832,f828,f118,f2673]) ).
thf(f13033,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_227 ),
inference(superposition,[],[f560,f12055]) ).
thf(f13118,plain,
( ! [X0: $i] :
( ( $false
= ( t @ ( sK8 @ ( sK3 @ ( sK7 @ sK1 ) ) ) ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f13033]) ).
thf(f13198,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $false
= ( irel @ sK1 @ X0 ) )
| ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $true
= ( p @ X0 ) ) )
| spl2_66
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f13118,f2176]) ).
thf(f13249,plain,
( ! [X0: $i] :
( ( ( r @ ( sK4 @ ( sK7 @ sK1 ) ) )
= $true )
| ( $false
= ( irel @ sK1 @ X0 ) )
| ( $true
= ( p @ X0 ) ) )
| spl2_24
| spl2_66
| ~ spl2_227 ),
inference(forward_subsumption_resolution,[],[f13198,f829]) ).
thf(f13302,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false = $true )
| ( $false
= ( irel @ sK1 @ X0 ) ) )
| spl2_24
| spl2_66
| ~ spl2_78
| ~ spl2_227 ),
inference(forward_demodulation,[],[f13249,f2675]) ).
thf(f13303,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK1 @ X0 ) )
| ( $true
= ( p @ X0 ) ) )
| spl2_24
| spl2_66
| ~ spl2_78
| ~ spl2_227 ),
inference(trivial_inequality_removal,[],[f13302]) ).
thf(f13314,plain,
( spl2_12
| spl2_24
| spl2_66
| ~ spl2_78
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f13303,f12053,f2673,f2175,f828,f393]) ).
thf(f13429,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) )
| ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| spl2_227 ),
inference(superposition,[],[f12054,f339]) ).
thf(f13487,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) )
| ( $false
= ( irel @ sK0 @ ( sK7 @ sK1 ) ) ) )
| spl2_227 ),
inference(trivial_inequality_removal,[],[f13429]) ).
thf(f13488,plain,
( ! [X0: $i] :
( ( $true
= ( p @ X0 ) )
| ( $false
= ( irel @ ( sK3 @ ( sK7 @ sK1 ) ) @ X0 ) ) )
| spl2_24
| spl2_227 ),
inference(forward_subsumption_resolution,[],[f13487,f829]) ).
thf(f13489,plain,
( spl2_216
| spl2_24
| spl2_227 ),
inference(avatar_split_clause,[],[f13488,f12053,f828,f11922]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f125]) ).
cnf(s3,plain,
~ spl2_2,
inference(sat_conversion,[],[f172]) ).
cnf(s15,plain,
( ~ spl2_1
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f396]) ).
cnf(s20,plain,
( ~ spl2_1
| ~ spl2_12 ),
inference(sat_conversion,[],[f491]) ).
cnf(s45,plain,
( ~ spl2_11
| spl2_24
| spl2_25 ),
inference(sat_conversion,[],[f861]) ).
cnf(s53,plain,
( spl2_12
| ~ spl2_20 ),
inference(sat_conversion,[],[f930]) ).
cnf(s93,plain,
( spl2_12
| ~ spl2_24 ),
inference(sat_conversion,[],[f2165]) ).
cnf(s412,plain,
( spl2_20
| spl2_24
| ~ spl2_65 ),
inference(sat_conversion,[],[f11868]) ).
cnf(s423,plain,
( ~ spl2_1
| spl2_12
| spl2_24
| ~ spl2_25
| spl2_65
| ~ spl2_66
| spl2_217 ),
inference(sat_conversion,[],[f11959]) ).
cnf(s449,plain,
( ~ spl2_1
| ~ spl2_25
| spl2_65
| ~ spl2_216 ),
inference(sat_conversion,[],[f12155]) ).
cnf(s472,plain,
( spl2_24
| ~ spl2_78
| spl2_216
| ~ spl2_217 ),
inference(sat_conversion,[],[f12628]) ).
cnf(s480,plain,
( ~ spl2_1
| spl2_24
| ~ spl2_25
| spl2_65
| spl2_78 ),
inference(sat_conversion,[],[f12646]) ).
cnf(s537,plain,
( spl2_12
| spl2_24
| spl2_66
| ~ spl2_78
| ~ spl2_227 ),
inference(sat_conversion,[],[f13314]) ).
cnf(s540,plain,
( spl2_24
| spl2_216
| spl2_227 ),
inference(sat_conversion,[],[f13489]) ).
cnf(s553,plain,
spl2_1,
inference(rat,[],[s1,s3]) ).
cnf(s559,plain,
~ spl2_12,
inference(rat,[],[s20,s553]) ).
cnf(s561,plain,
spl2_11,
inference(rat,[],[s15,s559,s553]) ).
cnf(s578,plain,
~ spl2_24,
inference(rat,[],[s93,s559]) ).
cnf(s580,plain,
~ spl2_20,
inference(rat,[],[s53,s559]) ).
cnf(s590,plain,
spl2_25,
inference(rat,[],[s45,s561,s578]) ).
cnf(s591,plain,
~ spl2_65,
inference(rat,[],[s412,s578,s580]) ).
cnf(s599,plain,
~ spl2_216,
inference(rat,[],[s449,s590,s553,s591]) ).
cnf(s601,plain,
spl2_78,
inference(rat,[],[s480,s590,s578,s553,s591]) ).
cnf(s605,plain,
spl2_227,
inference(rat,[],[s540,s578,s599]) ).
cnf(s610,plain,
~ spl2_217,
inference(rat,[],[s472,s599,s578,s601]) ).
cnf(s611,plain,
spl2_66,
inference(rat,[],[s537,s605,s578,s559,s601]) ).
cnf(s620,plain,
$false,
inference(rat,[],[s423,s591,s590,s578,s559,s553,s610,s611]) ).
thf(f13490,plain,
$false,
inference(avatar_sat_refutation,[],[s620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO063^4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:24:11 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35 % (3585437)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (3585446)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=365197442:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (3585448)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (3585448)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.35 % (3585442)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1524486619:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (3585443)lrs+10_16_si=on:nwc=1.5:random_seed=3769210528:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (3585446)Instruction limit reached!
% 0.21/0.35 % (3585446)------------------------------
% 0.21/0.35 % (3585446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3585446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3585446)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3585446)Termination reason: Instruction limit
% 0.21/0.35 % (3585446)Termination phase: Saturation
% 0.21/0.35 % (3585446)Time elapsed: 0.007 s
% 0.21/0.35 % (3585446)Peak memory usage: 11 MB
% 0.21/0.35 % (3585446)Instructions burned: 24 (million)
% 0.21/0.35 % (3585444)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=624081094:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (3585445)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=103076358:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.35 % (3585447)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=28562259:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (3585448)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=166932947:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (3585444)Instruction limit reached!
% 0.21/0.35 % (3585444)------------------------------
% 0.21/0.35 % (3585444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3585444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3585444)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3585444)Termination reason: Instruction limit
% 0.21/0.35 % (3585444)Termination phase: Saturation
% 0.21/0.35 % (3585444)Time elapsed: 0.002 s
% 0.21/0.35 % (3585444)Peak memory usage: 10 MB
% 0.21/0.35 % (3585444)Instructions burned: 4 (million)
% 0.21/0.35 % (3585443)Instruction limit reached!
% 0.21/0.35 % (3585443)------------------------------
% 0.21/0.35 % (3585443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3585443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3585443)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3585443)Termination reason: Instruction limit
% 0.21/0.35 % (3585443)Termination phase: Saturation
% 0.21/0.35 % (3585443)Time elapsed: 0.009 s
% 0.21/0.35 % (3585443)Peak memory usage: 12 MB
% 0.21/0.35 % (3585443)Instructions burned: 19 (million)
% 0.21/0.35 % (3585455)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3056308219:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (3585455)Instruction limit reached!
% 0.21/0.35 % (3585455)------------------------------
% 0.21/0.35 % (3585455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3585455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3585455)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3585455)Termination reason: Instruction limit
% 0.21/0.35 % (3585455)Termination phase: Property scanning
% 0.21/0.35 % (3585455)Time elapsed: 0.002 s
% 0.21/0.35 % (3585455)Peak memory usage: 10 MB
% 0.21/0.35 % (3585455)Instructions burned: 4 (million)
% 0.21/0.35 % (3585457)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1503334663:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.87/0.38 % (3585457)Instruction limit reached!
% 0.87/0.38 % (3585457)------------------------------
% 0.87/0.38 % (3585457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (3585457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (3585457)CaDiCaL version: 2.1.3
% 0.87/0.38 % (3585457)Termination reason: Instruction limit
% 0.87/0.38 % (3585457)Termination phase: Saturation
% 0.87/0.38 % (3585457)Time elapsed: 0.003 s
% 0.87/0.38 % (3585457)Peak memory usage: 11 MB
% 0.87/0.38 % (3585457)Instructions burned: 6 (million)
% 0.87/0.38 % (3585458)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.38 % (3585458)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=226808896:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.87/0.38 % (3585458)Instruction limit reached!
% 0.87/0.38 % (3585458)------------------------------
% 0.87/0.38 % (3585458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (3585458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (3585458)CaDiCaL version: 2.1.3
% 0.87/0.38 % (3585458)Termination reason: Instruction limit
% 0.87/0.38 % (3585458)Termination phase: Saturation
% 0.87/0.38 % (3585458)Time elapsed: 0.004 s
% 0.87/0.38 % (3585458)Peak memory usage: 11 MB
% 0.87/0.38 % (3585458)Instructions burned: 9 (million)
% 0.87/0.38 % (3585447)Instruction limit reached!
% 0.87/0.38 % (3585447)------------------------------
% 0.87/0.38 % (3585447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (3585447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (3585447)CaDiCaL version: 2.1.3
% 0.87/0.38 % (3585447)Termination reason: Instruction limit
% 0.87/0.38 % (3585447)Termination phase: Saturation
% 0.87/0.38 % (3585447)Time elapsed: 0.038 s
% 0.87/0.38 % (3585447)Peak memory usage: 12 MB
% 0.87/0.38 % (3585447)Instructions burned: 75 (million)
% 0.87/0.38 % (3585462)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
% 0.87/0.38 % (3585462)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.87/0.38 % (3585461)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3862005533:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.87/0.38 % (3585442)Instruction limit reached!
% 0.87/0.38 % (3585442)------------------------------
% 0.87/0.38 % (3585442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (3585442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (3585442)CaDiCaL version: 2.1.3
% 0.87/0.38 % (3585442)Termination reason: Instruction limit
% 0.87/0.38 % (3585442)Termination phase: Saturation
% 0.87/0.38 % (3585442)Time elapsed: 0.042 s
% 0.87/0.38 % (3585442)Peak memory usage: 12 MB
% 0.87/0.38 % (3585442)Instructions burned: 88 (million)
% 0.87/0.38 % (3585462)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=998702434:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.87/0.38 % (3585464)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=3877598780:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.87/0.38 % (3585461)Instruction limit reached!
% 0.87/0.38 % (3585461)------------------------------
% 0.87/0.38 % (3585461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.38 % (3585461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.38 % (3585461)CaDiCaL version: 2.1.3
% 0.87/0.38 % (3585461)Termination reason: Instruction limit
% 0.87/0.38 % (3585461)Termination phase: Saturation
% 0.87/0.38 % (3585461)Time elapsed: 0.006 s
% 0.87/0.38 % (3585461)Peak memory usage: 12 MB
% 0.87/0.38 % (3585461)Instructions burned: 13 (million)
% 0.87/0.38 % (3585467)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.87/0.42 % (3585466)lrs+10_1_si=on:cs=on:random_seed=1905809769:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.87/0.42 % (3585462)Instruction limit reached!
% 0.87/0.42 % (3585462)------------------------------
% 0.87/0.42 % (3585462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (3585462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (3585462)CaDiCaL version: 2.1.3
% 0.87/0.42 % (3585462)Termination reason: Instruction limit
% 0.87/0.42 % (3585462)Termination phase: Saturation
% 0.87/0.42 % (3585462)Time elapsed: 0.017 s
% 0.87/0.42 % (3585462)Peak memory usage: 12 MB
% 0.87/0.42 % (3585462)Instructions burned: 36 (million)
% 0.87/0.42 % (3585467)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=1077333973:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.42 % (3585466)Instruction limit reached!
% 0.87/0.42 % (3585466)------------------------------
% 0.87/0.42 % (3585466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (3585466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (3585466)CaDiCaL version: 2.1.3
% 0.87/0.42 % (3585466)Termination reason: Instruction limit
% 0.87/0.42 % (3585466)Termination phase: Saturation
% 0.87/0.42 % (3585466)Time elapsed: 0.004 s
% 0.87/0.42 % (3585466)Peak memory usage: 11 MB
% 0.87/0.42 % (3585466)Instructions burned: 9 (million)
% 0.87/0.42 % (3585467)Instruction limit reached!
% 0.87/0.42 % (3585467)------------------------------
% 0.87/0.42 % (3585467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (3585467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (3585467)CaDiCaL version: 2.1.3
% 0.87/0.42 % (3585467)Termination reason: Instruction limit
% 0.87/0.42 % (3585467)Termination phase: Property scanning
% 0.87/0.42 % (3585467)Time elapsed: 0.002 s
% 0.87/0.42 % (3585467)Peak memory usage: 10 MB
% 0.87/0.42 % (3585467)Instructions burned: 5 (million)
% 0.87/0.42 % (3585470)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1640070621:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.87/0.42 % (3585470)Refutation not found, incomplete strategy
% 0.87/0.42 % (3585470)------------------------------
% 0.87/0.42 % (3585470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (3585470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (3585470)CaDiCaL version: 2.1.3
% 0.87/0.42 % (3585470)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.42 % (3585470)Time elapsed: 0.002 s
% 0.87/0.42 % (3585470)Peak memory usage: 12 MB
% 0.87/0.42 % (3585470)Instructions burned: 4 (million)
% 0.87/0.42 % (3585464)Instruction limit reached!
% 0.87/0.42 % (3585464)------------------------------
% 0.87/0.42 % (3585464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.42 % (3585464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.42 % (3585464)CaDiCaL version: 2.1.3
% 0.87/0.42 % (3585464)Termination reason: Instruction limit
% 0.87/0.42 % (3585464)Termination phase: Saturation
% 0.87/0.42 % (3585464)Time elapsed: 0.024 s
% 0.87/0.42 % (3585464)Peak memory usage: 13 MB
% 0.87/0.42 % (3585464)Instructions burned: 87 (million)
% 0.87/0.42 % (3585470)------------------------------
% 0.87/0.42 % (3585470)------------------------------
% 0.87/0.42 % (3585477)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1965177040:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.87/0.42 % (3585473)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3566592218:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.87/0.42 % (3585474)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2529985681:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.87/0.42 % (3585475)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2856256585:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.87/0.42 % (3585473)Refutation not found, incomplete strategy
% 0.87/0.42 % (3585473)------------------------------
% 0.87/0.42 % (3585473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585473)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585473)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.45 % (3585473)Time elapsed: 0.003 s
% 0.87/0.45 % (3585473)Peak memory usage: 12 MB
% 0.87/0.45 % (3585473)Instructions burned: 5 (million)
% 0.87/0.45 % (3585473)------------------------------
% 0.87/0.45 % (3585473)------------------------------
% 0.87/0.45 % (3585448)Instruction limit reached!
% 0.87/0.45 % (3585448)------------------------------
% 0.87/0.45 % (3585448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585448)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585448)Termination reason: Instruction limit
% 0.87/0.45 % (3585448)Termination phase: Saturation
% 0.87/0.45 % (3585448)Time elapsed: 0.083 s
% 0.87/0.45 % (3585448)Peak memory usage: 13 MB
% 0.87/0.45 % (3585448)Instructions burned: 159 (million)
% 0.87/0.45 % (3585478)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2400773896:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.87/0.45 % (3585475)Instruction limit reached!
% 0.87/0.45 % (3585475)------------------------------
% 0.87/0.45 % (3585475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585475)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585475)Termination reason: Instruction limit
% 0.87/0.45 % (3585475)Termination phase: Saturation
% 0.87/0.45 % (3585475)Time elapsed: 0.007 s
% 0.87/0.45 % (3585475)Peak memory usage: 12 MB
% 0.87/0.45 % (3585475)Instructions burned: 14 (million)
% 0.87/0.45 % (3585478)Instruction limit reached!
% 0.87/0.45 % (3585478)------------------------------
% 0.87/0.45 % (3585478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585478)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585478)Termination reason: Instruction limit
% 0.87/0.45 % (3585478)Termination phase: Saturation
% 0.87/0.45 % (3585478)Time elapsed: 0.007 s
% 0.87/0.45 % (3585478)Peak memory usage: 12 MB
% 0.87/0.45 % (3585478)Instructions burned: 14 (million)
% 0.87/0.45 % (3585474)Instruction limit reached!
% 0.87/0.45 % (3585474)------------------------------
% 0.87/0.45 % (3585474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585474)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585474)Termination reason: Instruction limit
% 0.87/0.45 % (3585474)Termination phase: Saturation
% 0.87/0.45 % (3585474)Time elapsed: 0.015 s
% 0.87/0.45 % (3585474)Peak memory usage: 12 MB
% 0.87/0.45 % (3585474)Instructions burned: 26 (million)
% 0.87/0.45 % (3585483)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3163358336: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)
% 0.87/0.45 % (3585484)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3296818104:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.87/0.45 % (3585483)Instruction limit reached!
% 0.87/0.45 % (3585483)------------------------------
% 0.87/0.45 % (3585483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.45 % (3585483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.45 % (3585483)CaDiCaL version: 2.1.3
% 0.87/0.45 % (3585483)Termination reason: Instruction limit
% 0.87/0.45 % (3585483)Termination phase: Function definition elimination
% 0.87/0.45 % (3585483)Time elapsed: 0.002 s
% 0.87/0.45 % (3585483)Peak memory usage: 11 MB
% 0.87/0.45 % (3585483)Instructions burned: 4 (million)
% 0.87/0.45 % (3585486)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=905263087:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.87/0.45 % (3585488)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.87/0.45 % (3585488)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.63/0.47 % (3585487)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1511800524:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.63/0.47 % (3585488)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=3587797931:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.47 % (3585484)Instruction limit reached!
% 1.63/0.47 % (3585484)------------------------------
% 1.63/0.47 % (3585484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.47 % (3585484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.47 % (3585484)CaDiCaL version: 2.1.3
% 1.63/0.47 % (3585484)Termination reason: Instruction limit
% 1.63/0.47 % (3585484)Termination phase: Saturation
% 1.63/0.47 % (3585484)Time elapsed: 0.014 s
% 1.63/0.47 % (3585484)Peak memory usage: 12 MB
% 1.63/0.47 % (3585484)Instructions burned: 28 (million)
% 1.63/0.47 % (3585491)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.63/0.47 % (3585486)Instruction limit reached!
% 1.63/0.47 % (3585486)------------------------------
% 1.63/0.47 % (3585486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.47 % (3585486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.47 % (3585486)CaDiCaL version: 2.1.3
% 1.63/0.47 % (3585486)Termination reason: Instruction limit
% 1.63/0.47 % (3585486)Termination phase: Saturation
% 1.63/0.47 % (3585486)Time elapsed: 0.012 s
% 1.63/0.47 % (3585486)Peak memory usage: 12 MB
% 1.63/0.47 % (3585486)Instructions burned: 24 (million)
% 1.63/0.47 % (3585488)Instruction limit reached!
% 1.63/0.47 % (3585488)------------------------------
% 1.63/0.47 % (3585488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.47 % (3585488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.47 % (3585488)CaDiCaL version: 2.1.3
% 1.63/0.47 % (3585488)Termination reason: Instruction limit
% 1.63/0.47 % (3585488)Termination phase: Saturation
% 1.63/0.47 % (3585488)Time elapsed: 0.008 s
% 1.63/0.47 % (3585488)Peak memory usage: 12 MB
% 1.63/0.47 % (3585488)Instructions burned: 15 (million)
% 1.63/0.47 % (3585491)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=3231303386:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.63/0.47 % (3585491)Instruction limit reached!
% 1.63/0.47 % (3585491)------------------------------
% 1.63/0.47 % (3585491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.47 % (3585491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.47 % (3585491)CaDiCaL version: 2.1.3
% 1.63/0.47 % (3585491)Termination reason: Instruction limit
% 1.63/0.47 % (3585491)Termination phase: Saturation
% 1.63/0.47 % (3585491)Time elapsed: 0.004 s
% 1.63/0.47 % (3585491)Peak memory usage: 11 MB
% 1.63/0.47 % (3585491)Instructions burned: 9 (million)
% 1.63/0.47 % (3585495)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=566207952:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.63/0.47 % (3585496)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2201738533:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.63/0.47 % (3585498)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1093534362:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.63/0.47 % (3585496)Instruction limit reached!
% 1.63/0.47 % (3585496)------------------------------
% 1.63/0.47 % (3585496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.47 % (3585496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.47 % (3585496)CaDiCaL version: 2.1.3
% 1.63/0.47 % (3585496)Termination reason: Instruction limit
% 1.63/0.47 % (3585496)Termination phase: Saturation
% 1.63/0.47 % (3585496)Time elapsed: 0.004 s
% 1.63/0.47 % (3585496)Peak memory usage: 11 MB
% 1.63/0.47 % (3585496)Instructions burned: 9 (million)
% 1.63/0.47 % (3585487)Instruction limit reached!
% 1.63/0.47 % (3585487)------------------------------
% 1.63/0.47 % (3585487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585487)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585487)Termination reason: Instruction limit
% 1.63/0.52 % (3585487)Termination phase: Saturation
% 1.63/0.52 % (3585487)Time elapsed: 0.032 s
% 1.63/0.52 % (3585487)Peak memory usage: 12 MB
% 1.63/0.52 % (3585487)Instructions burned: 60 (million)
% 1.63/0.52 % (3585499)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2105718039:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.63/0.52 % (3585498)Instruction limit reached!
% 1.63/0.52 % (3585498)------------------------------
% 1.63/0.52 % (3585498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585498)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585498)Termination reason: Instruction limit
% 1.63/0.52 % (3585498)Termination phase: Saturation
% 1.63/0.52 % (3585498)Time elapsed: 0.010 s
% 1.63/0.52 % (3585498)Peak memory usage: 11 MB
% 1.63/0.52 % (3585498)Instructions burned: 23 (million)
% 1.63/0.52 % (3585495)Instruction limit reached!
% 1.63/0.52 % (3585495)------------------------------
% 1.63/0.52 % (3585495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585495)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585495)Termination reason: Instruction limit
% 1.63/0.52 % (3585495)Termination phase: Saturation
% 1.63/0.52 % (3585495)Time elapsed: 0.017 s
% 1.63/0.52 % (3585495)Peak memory usage: 12 MB
% 1.63/0.52 % (3585495)Instructions burned: 31 (million)
% 1.63/0.52 % (3585499)Instruction limit reached!
% 1.63/0.52 % (3585499)------------------------------
% 1.63/0.52 % (3585499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585499)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585499)Termination reason: Instruction limit
% 1.63/0.52 % (3585499)Termination phase: Saturation
% 1.63/0.52 % (3585499)Time elapsed: 0.012 s
% 1.63/0.52 % (3585499)Peak memory usage: 12 MB
% 1.63/0.52 % (3585499)Instructions burned: 20 (million)
% 1.63/0.52 % (3585477)Instruction limit reached!
% 1.63/0.52 % (3585477)------------------------------
% 1.63/0.52 % (3585477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585477)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585477)Termination reason: Instruction limit
% 1.63/0.52 % (3585477)Termination phase: Saturation
% 1.63/0.52 % (3585477)Time elapsed: 0.081 s
% 1.63/0.52 % (3585477)Peak memory usage: 13 MB
% 1.63/0.52 % (3585477)Instructions burned: 327 (million)
% 1.63/0.52 % (3585503)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=133616121:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.63/0.52 % (3585504)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1925243441:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.63/0.52 % (3585509)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2504318916:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.63/0.52 % (3585506)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1373619587:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.63/0.52 % (3585509)Refutation not found, incomplete strategy
% 1.63/0.52 % (3585509)------------------------------
% 1.63/0.52 % (3585509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.52 % (3585509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.52 % (3585509)CaDiCaL version: 2.1.3
% 1.63/0.52 % (3585509)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.52 % (3585509)Time elapsed: 0.002 s
% 1.63/0.52 % (3585509)Peak memory usage: 12 MB
% 1.63/0.52 % (3585509)Instructions burned: 5 (million)
% 1.63/0.52 % (3585509)------------------------------
% 1.63/0.52 % (3585509)------------------------------
% 1.63/0.52 % (3585507)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=467760221:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.63/0.52 % (3585508)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.31/0.61 % (3585506)Refutation not found, incomplete strategy
% 2.31/0.61 % (3585506)------------------------------
% 2.31/0.61 % (3585506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3585506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3585506)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3585506)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.61 % (3585506)Time elapsed: 0.004 s
% 2.31/0.61 % (3585506)Peak memory usage: 12 MB
% 2.31/0.61 % (3585506)Instructions burned: 7 (million)
% 2.31/0.61 % (3585506)------------------------------
% 2.31/0.61 % (3585506)------------------------------
% 2.31/0.61 % (3585508)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1524094475:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.31/0.61 % (3585508)Instruction limit reached!
% 2.31/0.61 % (3585508)------------------------------
% 2.31/0.61 % (3585508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3585508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3585508)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3585508)Termination reason: Instruction limit
% 2.31/0.61 % (3585508)Termination phase: Saturation
% 2.31/0.61 % (3585508)Time elapsed: 0.004 s
% 2.31/0.61 % (3585508)Peak memory usage: 11 MB
% 2.31/0.61 % (3585508)Instructions burned: 8 (million)
% 2.31/0.61 % (3585515)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=2975682521:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.31/0.61 % (3585515)Refutation not found, incomplete strategy
% 2.31/0.61 % (3585515)------------------------------
% 2.31/0.61 % (3585515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3585515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3585515)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3585515)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.61 % (3585515)Time elapsed: 0.003 s
% 2.31/0.61 % (3585515)Peak memory usage: 12 MB
% 2.31/0.61 % (3585515)Instructions burned: 10 (million)
% 2.31/0.61 % (3585515)------------------------------
% 2.31/0.61 % (3585515)------------------------------
% 2.31/0.61 % (3585516)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.31/0.61 % (3585507)Instruction limit reached!
% 2.31/0.61 % (3585507)------------------------------
% 2.31/0.61 % (3585507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3585507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3585507)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3585507)Termination reason: Instruction limit
% 2.31/0.61 % (3585507)Termination phase: Saturation
% 2.31/0.61 % (3585507)Time elapsed: 0.021 s
% 2.31/0.61 % (3585507)Peak memory usage: 12 MB
% 2.31/0.61 % (3585507)Instructions burned: 43 (million)
% 2.31/0.61 % (3585516)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3995931473:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.31/0.61 % (3585520)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2648873937:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.31/0.61 % (3585516)Instruction limit reached!
% 2.31/0.61 % (3585516)------------------------------
% 2.31/0.61 % (3585516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.61 % (3585516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.61 % (3585516)CaDiCaL version: 2.1.3
% 2.31/0.61 % (3585516)Termination reason: Instruction limit
% 2.31/0.61 % (3585516)Termination phase: Saturation
% 2.31/0.61 % (3585516)Time elapsed: 0.003 s
% 2.31/0.61 % (3585516)Peak memory usage: 11 MB
% 2.31/0.61 % (3585516)Instructions burned: 6 (million)
% 2.31/0.61 % (3585519)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4293147588:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.31/0.61 % (3585520)Instruction limit reached!
% 2.79/0.67 % (3585520)------------------------------
% 2.79/0.67 % (3585520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.67 % (3585520)CaDiCaL version: 2.1.3
% 2.79/0.67 % (3585520)Termination reason: Instruction limit
% 2.79/0.67 % (3585520)Termination phase: Saturation
% 2.79/0.67 % (3585520)Time elapsed: 0.005 s
% 2.79/0.67 % (3585520)Peak memory usage: 13 MB
% 2.79/0.67 % (3585520)Instructions burned: 20 (million)
% 2.79/0.67 % (3585526)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=2404351005: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)
% 2.79/0.67 % (3585519)Instruction limit reached!
% 2.79/0.67 % (3585519)------------------------------
% 2.79/0.67 % (3585519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.67 % (3585519)CaDiCaL version: 2.1.3
% 2.79/0.67 % (3585519)Termination reason: Instruction limit
% 2.79/0.67 % (3585519)Termination phase: Saturation
% 2.79/0.67 % (3585519)Time elapsed: 0.011 s
% 2.79/0.67 % (3585519)Peak memory usage: 12 MB
% 2.79/0.67 % (3585519)Instructions burned: 23 (million)
% 2.79/0.67 % (3585521)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=2903101109:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.79/0.67 % (3585524)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=1040275223: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)
% 2.79/0.67 % (3585526)Instruction limit reached!
% 2.79/0.67 % (3585526)------------------------------
% 2.79/0.67 % (3585526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.67 % (3585526)CaDiCaL version: 2.1.3
% 2.79/0.67 % (3585526)Termination reason: Instruction limit
% 2.79/0.67 % (3585526)Termination phase: Saturation
% 2.79/0.67 % (3585526)Time elapsed: 0.015 s
% 2.79/0.67 % (3585526)Peak memory usage: 13 MB
% 2.79/0.67 % (3585526)Instructions burned: 47 (million)
% 2.79/0.67 % (3585529)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4067506772:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.79/0.67 % (3585529)Refutation not found, incomplete strategy
% 2.79/0.67 % (3585529)------------------------------
% 2.79/0.67 % (3585529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.67 % (3585529)CaDiCaL version: 2.1.3
% 2.79/0.67 % (3585529)Termination reason: Refutation not found, incomplete strategy
% 2.79/0.67 % (3585529)Time elapsed: 0.003 s
% 2.79/0.67 % (3585529)Peak memory usage: 12 MB
% 2.79/0.67 % (3585529)Instructions burned: 6 (million)
% 2.79/0.67 % (3585529)------------------------------
% 2.79/0.67 % (3585529)------------------------------
% 2.79/0.67 % (3585531)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1366874087:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.79/0.67 % (3585504)Instruction limit reached!
% 2.79/0.67 % (3585504)------------------------------
% 2.79/0.67 % (3585504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.67 % (3585504)CaDiCaL version: 2.1.3
% 2.79/0.67 % (3585504)Termination reason: Instruction limit
% 2.79/0.67 % (3585504)Termination phase: Saturation
% 2.79/0.67 % (3585504)Time elapsed: 0.076 s
% 2.79/0.67 % (3585504)Peak memory usage: 13 MB
% 2.79/0.67 % (3585504)Instructions burned: 143 (million)
% 2.79/0.67 % (3585531)Instruction limit reached!
% 2.79/0.67 % (3585531)------------------------------
% 2.79/0.67 % (3585531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.79/0.67 % (3585531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.70 % (3585531)CaDiCaL version: 2.1.3
% 3.27/0.70 % (3585531)Termination reason: Instruction limit
% 3.27/0.70 % (3585531)Termination phase: Saturation
% 3.27/0.70 % (3585531)Time elapsed: 0.006 s
% 3.27/0.70 % (3585531)Peak memory usage: 12 MB
% 3.27/0.70 % (3585531)Instructions burned: 23 (million)
% 3.27/0.70 % (3585533)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.27/0.70 % (3585533)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=295915596:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 3.27/0.70 % (3585536)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=2862061856:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 3.27/0.70 % (3585535)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=195652532:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 3.27/0.70 % (3585535)Instruction limit reached!
% 3.27/0.70 % (3585535)------------------------------
% 3.27/0.70 % (3585535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.70 % (3585535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.70 % (3585535)CaDiCaL version: 2.1.3
% 3.27/0.70 % (3585535)Termination reason: Instruction limit
% 3.27/0.70 % (3585535)Termination phase: Saturation
% 3.27/0.70 % (3585535)Time elapsed: 0.010 s
% 3.27/0.70 % (3585535)Peak memory usage: 12 MB
% 3.27/0.70 % (3585535)Instructions burned: 13 (million)
% 3.27/0.70 % (3585536)Instruction limit reached!
% 3.27/0.70 % (3585536)------------------------------
% 3.27/0.70 % (3585536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.70 % (3585536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.70 % (3585536)CaDiCaL version: 2.1.3
% 3.27/0.70 % (3585536)Termination reason: Instruction limit
% 3.27/0.70 % (3585536)Termination phase: Saturation
% 3.27/0.70 % (3585536)Time elapsed: 0.017 s
% 3.27/0.70 % (3585536)Peak memory usage: 13 MB
% 3.27/0.70 % (3585536)Instructions burned: 69 (million)
% 3.27/0.70 % (3585541)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1406878405:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.27/0.70 % (3585540)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2359153742:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.27/0.70 % (3585541)Instruction limit reached!
% 3.27/0.70 % (3585541)------------------------------
% 3.27/0.70 % (3585541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.70 % (3585541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.70 % (3585541)CaDiCaL version: 2.1.3
% 3.27/0.70 % (3585541)Termination reason: Instruction limit
% 3.27/0.70 % (3585541)Termination phase: Saturation
% 3.27/0.70 % (3585541)Time elapsed: 0.008 s
% 3.27/0.70 % (3585541)Peak memory usage: 12 MB
% 3.27/0.70 % (3585541)Instructions burned: 31 (million)
% 3.27/0.70 % (3585544)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=906840931:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.27/0.70 % (3585540)Instruction limit reached!
% 3.27/0.70 % (3585540)------------------------------
% 3.27/0.70 % (3585540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.70 % (3585540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.70 % (3585540)CaDiCaL version: 2.1.3
% 3.27/0.70 % (3585540)Termination reason: Instruction limit
% 3.27/0.70 % (3585540)Termination phase: Saturation
% 3.27/0.70 % (3585540)Time elapsed: 0.027 s
% 3.27/0.70 % (3585540)Peak memory usage: 12 MB
% 3.27/0.70 % (3585540)Instructions burned: 53 (million)
% 3.27/0.70 % (3585546)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=2901206957:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.27/0.70 % (3585445)Instruction limit reached!
% 3.27/0.70 % (3585445)------------------------------
% 3.27/0.70 % (3585445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.70 % (3585445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585445)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585445)Termination reason: Instruction limit
% 3.72/0.81 % (3585445)Termination phase: Saturation
% 3.72/0.81 % (3585445)Time elapsed: 0.342 s
% 3.72/0.81 % (3585445)Peak memory usage: 15 MB
% 3.72/0.81 % (3585445)Instructions burned: 635 (million)
% 3.72/0.81 % (3585544)Instruction limit reached!
% 3.72/0.81 % (3585544)------------------------------
% 3.72/0.81 % (3585544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585544)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585544)Termination reason: Instruction limit
% 3.72/0.81 % (3585544)Termination phase: Saturation
% 3.72/0.81 % (3585544)Time elapsed: 0.039 s
% 3.72/0.81 % (3585544)Peak memory usage: 13 MB
% 3.72/0.81 % (3585544)Instructions burned: 141 (million)
% 3.72/0.81 % (3585549)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.72/0.81 % (3585549)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=336222835:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.72/0.81 % (3585533)Instruction limit reached!
% 3.72/0.81 % (3585533)------------------------------
% 3.72/0.81 % (3585533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585533)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585533)Termination reason: Instruction limit
% 3.72/0.81 % (3585533)Termination phase: Saturation
% 3.72/0.81 % (3585533)Time elapsed: 0.097 s
% 3.72/0.81 % (3585533)Peak memory usage: 12 MB
% 3.72/0.81 % (3585533)Instructions burned: 202 (million)
% 3.72/0.81 % (3585546)Instruction limit reached!
% 3.72/0.81 % (3585546)------------------------------
% 3.72/0.81 % (3585546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585546)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585546)Termination reason: Instruction limit
% 3.72/0.81 % (3585546)Termination phase: Saturation
% 3.72/0.81 % (3585546)Time elapsed: 0.018 s
% 3.72/0.81 % (3585546)Peak memory usage: 12 MB
% 3.72/0.81 % (3585546)Instructions burned: 35 (million)
% 3.72/0.81 % (3585548)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=936502616:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.72/0.81 % (3585551)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3065384112:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.72/0.81 % (3585552)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=59133023:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.72/0.81 % (3585551)Refutation not found, incomplete strategy
% 3.72/0.81 % (3585551)------------------------------
% 3.72/0.81 % (3585551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585551)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585551)Termination reason: Refutation not found, incomplete strategy
% 3.72/0.81 % (3585551)Time elapsed: 0.005 s
% 3.72/0.81 % (3585551)Peak memory usage: 12 MB
% 3.72/0.81 % (3585551)Instructions burned: 8 (million)
% 3.72/0.81 % (3585551)------------------------------
% 3.72/0.81 % (3585551)------------------------------
% 3.72/0.81 % (3585521)Instruction limit reached!
% 3.72/0.81 % (3585521)------------------------------
% 3.72/0.81 % (3585521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585521)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585521)Termination reason: Instruction limit
% 3.72/0.81 % (3585521)Termination phase: Saturation
% 3.72/0.81 % (3585521)Time elapsed: 0.174 s
% 3.72/0.81 % (3585521)Peak memory usage: 15 MB
% 3.72/0.81 % (3585521)Instructions burned: 316 (million)
% 3.72/0.81 % (3585548)Instruction limit reached!
% 3.72/0.81 % (3585548)------------------------------
% 3.72/0.81 % (3585548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.72/0.81 % (3585548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/0.81 % (3585548)CaDiCaL version: 2.1.3
% 3.72/0.81 % (3585548)Termination reason: Instruction limit
% 3.72/0.81 % (3585548)Termination phase: Saturation
% 3.90/0.98 % (3585548)Time elapsed: 0.035 s
% 3.90/0.98 % (3585548)Peak memory usage: 12 MB
% 3.90/0.98 % (3585548)Instructions burned: 68 (million)
% 3.90/0.98 % (3585556)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3720515317:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.90/0.98 % (3585549)Instruction limit reached!
% 3.90/0.98 % (3585549)------------------------------
% 3.90/0.98 % (3585549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (3585549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (3585549)CaDiCaL version: 2.1.3
% 3.90/0.98 % (3585549)Termination reason: Instruction limit
% 3.90/0.98 % (3585549)Termination phase: Saturation
% 3.90/0.98 % (3585549)Time elapsed: 0.046 s
% 3.90/0.98 % (3585549)Peak memory usage: 12 MB
% 3.90/0.98 % (3585549)Instructions burned: 184 (million)
% 3.90/0.98 % (3585556)Refutation not found, incomplete strategy
% 3.90/0.98 % (3585556)------------------------------
% 3.90/0.98 % (3585556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (3585556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (3585556)CaDiCaL version: 2.1.3
% 3.90/0.98 % (3585556)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.98 % (3585556)Time elapsed: 0.003 s
% 3.90/0.98 % (3585556)Peak memory usage: 12 MB
% 3.90/0.98 % (3585556)Instructions burned: 4 (million)
% 3.90/0.98 % (3585556)------------------------------
% 3.90/0.98 % (3585556)------------------------------
% 3.90/0.98 % (3585557)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1549374796:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.90/0.98 % (3585560)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3987331126:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.90/0.98 % (3585560)Refutation not found, incomplete strategy
% 3.90/0.98 % (3585560)------------------------------
% 3.90/0.98 % (3585560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (3585560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (3585560)CaDiCaL version: 2.1.3
% 3.90/0.98 % (3585560)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.98 % (3585560)Time elapsed: 0.004 s
% 3.90/0.98 % (3585560)Peak memory usage: 12 MB
% 3.90/0.98 % (3585560)Instructions burned: 15 (million)
% 3.90/0.98 % (3585558)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1566810064:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.90/0.98 % (3585560)------------------------------
% 3.90/0.98 % (3585560)------------------------------
% 3.90/0.98 % (3585561)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2713651414:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.90/0.98 % (3585558)Refutation not found, incomplete strategy
% 3.90/0.98 % (3585558)------------------------------
% 3.90/0.98 % (3585558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (3585558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (3585558)CaDiCaL version: 2.1.3
% 3.90/0.98 % (3585558)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.98 % (3585558)Time elapsed: 0.007 s
% 3.90/0.98 % (3585558)Peak memory usage: 12 MB
% 3.90/0.98 % (3585558)Instructions burned: 14 (million)
% 3.90/0.98 % (3585558)------------------------------
% 3.90/0.98 % (3585558)------------------------------
% 3.90/0.98 % (3585552)Instruction limit reached!
% 3.90/0.98 % (3585552)------------------------------
% 3.90/0.98 % (3585552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (3585552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (3585552)CaDiCaL version: 2.1.3
% 3.90/0.98 % (3585552)Termination reason: Instruction limit
% 3.90/0.98 % (3585552)Termination phase: Saturation
% 3.90/0.98 % (3585552)Time elapsed: 0.049 s
% 3.90/0.98 % (3585552)Peak memory usage: 12 MB
% 3.90/0.98 % (3585552)Instructions burned: 97 (million)
% 3.90/0.98 % (3585565)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1141026962:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.90/0.98 % (3585565)Refutation not found, incomplete strategy
% 3.90/0.98 % (3585565)------------------------------
% 3.90/0.98 % (3585565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.07 % (3585565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.07 % (3585565)CaDiCaL version: 2.1.3
% 5.65/1.07 % (3585565)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.07 % (3585565)Time elapsed: 0.002 s
% 5.65/1.07 % (3585565)Peak memory usage: 12 MB
% 5.65/1.07 % (3585565)Instructions burned: 6 (million)
% 5.65/1.07 % (3585565)------------------------------
% 5.65/1.07 % (3585565)------------------------------
% 5.65/1.07 % (3585567)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1193429054:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 5.65/1.07 % (3585568)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1429275572:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 5.65/1.07 % (3585561)Instruction limit reached!
% 5.65/1.07 % (3585561)------------------------------
% 5.65/1.07 % (3585561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.07 % (3585561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.07 % (3585561)CaDiCaL version: 2.1.3
% 5.65/1.07 % (3585561)Termination reason: Instruction limit
% 5.65/1.07 % (3585561)Termination phase: Saturation
% 5.65/1.07 % (3585561)Time elapsed: 0.023 s
% 5.65/1.07 % (3585561)Peak memory usage: 12 MB
% 5.65/1.07 % (3585561)Instructions burned: 45 (million)
% 5.65/1.07 % (3585570)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=1558318512:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 5.65/1.07 % (3585573)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=2438223498: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)
% 5.65/1.07 % (3585570)Instruction limit reached!
% 5.65/1.07 % (3585570)------------------------------
% 5.65/1.07 % (3585570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.07 % (3585570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.07 % (3585570)CaDiCaL version: 2.1.3
% 5.65/1.07 % (3585570)Termination reason: Instruction limit
% 5.65/1.07 % (3585570)Termination phase: Saturation
% 5.65/1.07 % (3585570)Time elapsed: 0.034 s
% 5.65/1.07 % (3585570)Peak memory usage: 12 MB
% 5.65/1.07 % (3585570)Instructions burned: 65 (million)
% 5.65/1.07 % (3585568)Instruction limit reached!
% 5.65/1.07 % (3585568)------------------------------
% 5.65/1.07 % (3585568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.07 % (3585568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.07 % (3585568)CaDiCaL version: 2.1.3
% 5.65/1.07 % (3585568)Termination reason: Instruction limit
% 5.65/1.07 % (3585568)Termination phase: Saturation
% 5.65/1.07 % (3585568)Time elapsed: 0.046 s
% 5.65/1.07 % (3585568)Peak memory usage: 12 MB
% 5.65/1.07 % (3585568)Instructions burned: 96 (million)
% 5.65/1.07 % (3585576)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=1040706185: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)
% 5.65/1.07 % (3585577)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2773918960:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 5.65/1.07 % (3585573)Instruction limit reached!
% 5.65/1.07 % (3585573)------------------------------
% 5.65/1.07 % (3585573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.07 % (3585573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.07 % (3585573)CaDiCaL version: 2.1.3
% 5.65/1.07 % (3585573)Termination reason: Instruction limit
% 5.65/1.07 % (3585573)Termination phase: Saturation
% 5.65/1.07 % (3585573)Time elapsed: 0.053 s
% 5.65/1.07 % (3585573)Peak memory usage: 12 MB
% 5.65/1.07 % (3585573)Instructions burned: 105 (million)
% 5.65/1.07 % (3585580)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1853790253:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 6.07/1.19 % (3585524)Instruction limit reached!
% 6.07/1.19 % (3585524)------------------------------
% 6.07/1.19 % (3585524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585524)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585524)Termination reason: Instruction limit
% 6.07/1.19 % (3585524)Termination phase: Saturation
% 6.07/1.19 % (3585524)Time elapsed: 0.390 s
% 6.07/1.19 % (3585524)Peak memory usage: 14 MB
% 6.07/1.19 % (3585524)Instructions burned: 855 (million)
% 6.07/1.19 % (3585582)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=1785594896:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.07/1.19 % (3585582)Instruction limit reached!
% 6.07/1.19 % (3585582)------------------------------
% 6.07/1.19 % (3585582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585582)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585582)Termination reason: Instruction limit
% 6.07/1.19 % (3585582)Termination phase: Saturation
% 6.07/1.19 % (3585582)Time elapsed: 0.018 s
% 6.07/1.19 % (3585582)Peak memory usage: 12 MB
% 6.07/1.19 % (3585582)Instructions burned: 34 (million)
% 6.07/1.19 % (3585584)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=483784530:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 6.07/1.19 % (3585567)Instruction limit reached!
% 6.07/1.19 % (3585567)------------------------------
% 6.07/1.19 % (3585567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585567)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585567)Termination reason: Instruction limit
% 6.07/1.19 % (3585567)Termination phase: Saturation
% 6.07/1.19 % (3585567)Time elapsed: 0.229 s
% 6.07/1.19 % (3585567)Peak memory usage: 15 MB
% 6.07/1.19 % (3585567)Instructions burned: 452 (million)
% 6.07/1.19 % (3585577)Instruction limit reached!
% 6.07/1.19 % (3585577)------------------------------
% 6.07/1.19 % (3585577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585577)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585577)Termination reason: Instruction limit
% 6.07/1.19 % (3585577)Termination phase: Saturation
% 6.07/1.19 % (3585577)Time elapsed: 0.172 s
% 6.07/1.19 % (3585577)Peak memory usage: 13 MB
% 6.07/1.19 % (3585577)Instructions burned: 377 (million)
% 6.07/1.19 % (3585586)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2620830248:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.07/1.19 % (3585586)Refutation not found, incomplete strategy
% 6.07/1.19 % (3585586)------------------------------
% 6.07/1.19 % (3585586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585586)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585586)Termination reason: Refutation not found, incomplete strategy
% 6.07/1.19 % (3585586)Time elapsed: 0.002 s
% 6.07/1.19 % (3585586)Peak memory usage: 12 MB
% 6.07/1.19 % (3585586)Instructions burned: 4 (million)
% 6.07/1.19 % (3585586)------------------------------
% 6.07/1.19 % (3585586)------------------------------
% 6.07/1.19 % (3585587)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=79576035:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.07/1.19 % (3585587)Instruction limit reached!
% 6.07/1.19 % (3585587)------------------------------
% 6.07/1.19 % (3585587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.07/1.19 % (3585587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.19 % (3585587)CaDiCaL version: 2.1.3
% 6.07/1.19 % (3585587)Termination reason: Instruction limit
% 6.07/1.19 % (3585587)Termination phase: Saturation
% 6.07/1.19 % (3585587)Time elapsed: 0.011 s
% 6.07/1.19 % (3585587)Peak memory usage: 12 MB
% 6.07/1.19 % (3585587)Instructions burned: 22 (million)
% 6.07/1.19 % (3585584)Instruction limit reached!
% 6.07/1.19 % (3585584)------------------------------
% 6.07/1.19 % (3585584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.25 % (3585584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.25 % (3585584)CaDiCaL version: 2.1.3
% 6.37/1.25 % (3585584)Termination reason: Instruction limit
% 6.37/1.25 % (3585584)Termination phase: Saturation
% 6.37/1.25 % (3585584)Time elapsed: 0.046 s
% 6.37/1.25 % (3585584)Peak memory usage: 13 MB
% 6.37/1.25 % (3585584)Instructions burned: 92 (million)
% 6.37/1.25 % (3585589)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=1818553197:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.37/1.25 % (3585593)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.37/1.25 % (3585591)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1200741285:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.37/1.25 % (3585593)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=399208033:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.37/1.25 % (3585503)Instruction limit reached!
% 6.37/1.25 % (3585503)------------------------------
% 6.37/1.25 % (3585503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.25 % (3585503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.25 % (3585503)CaDiCaL version: 2.1.3
% 6.37/1.25 % (3585503)Termination reason: Instruction limit
% 6.37/1.25 % (3585503)Termination phase: Saturation
% 6.37/1.25 % (3585503)Time elapsed: 0.577 s
% 6.37/1.25 % (3585503)Peak memory usage: 16 MB
% 6.37/1.25 % (3585503)Instructions burned: 1242 (million)
% 6.37/1.25 % (3585591)Instruction limit reached!
% 6.37/1.25 % (3585591)------------------------------
% 6.37/1.25 % (3585591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.25 % (3585591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.25 % (3585591)CaDiCaL version: 2.1.3
% 6.37/1.25 % (3585591)Termination reason: Instruction limit
% 6.37/1.25 % (3585591)Termination phase: Saturation
% 6.37/1.25 % (3585591)Time elapsed: 0.016 s
% 6.37/1.25 % (3585591)Peak memory usage: 12 MB
% 6.37/1.25 % (3585591)Instructions burned: 29 (million)
% 6.37/1.25 % (3585596)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=512467647:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 6.37/1.25 % (3585597)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1520866665:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 6.37/1.25 % (3585597)Refutation not found, incomplete strategy
% 6.37/1.25 % (3585597)------------------------------
% 6.37/1.25 % (3585597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.25 % (3585597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.25 % (3585597)CaDiCaL version: 2.1.3
% 6.37/1.25 % (3585597)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.25 % (3585597)Time elapsed: 0.003 s
% 6.37/1.25 % (3585597)Peak memory usage: 12 MB
% 6.37/1.25 % (3585597)Instructions burned: 5 (million)
% 6.37/1.25 % (3585597)------------------------------
% 6.37/1.25 % (3585597)------------------------------
% 6.37/1.25 % (3585580)Instruction limit reached!
% 6.37/1.25 % (3585580)------------------------------
% 6.37/1.25 % (3585580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.37/1.25 % (3585580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.25 % (3585580)CaDiCaL version: 2.1.3
% 6.37/1.25 % (3585580)Termination reason: Instruction limit
% 6.37/1.25 % (3585580)Termination phase: Saturation
% 6.37/1.25 % (3585580)Time elapsed: 0.238 s
% 6.37/1.25 % (3585580)Peak memory usage: 13 MB
% 6.37/1.25 % (3585580)Instructions burned: 497 (million)
% 6.37/1.25 % (3585600)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.37/1.25 % (3585600)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2176882085:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.37/1.25 % (3585601)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1447702314:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.94/1.39 % (3585557)Instruction limit reached!
% 6.94/1.39 % (3585557)------------------------------
% 6.94/1.39 % (3585557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585557)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585557)Termination reason: Instruction limit
% 6.94/1.39 % (3585557)Termination phase: Saturation
% 6.94/1.39 % (3585557)Time elapsed: 0.386 s
% 6.94/1.39 % (3585557)Peak memory usage: 13 MB
% 6.94/1.39 % (3585557)Instructions burned: 877 (million)
% 6.94/1.39 % (3585593)Instruction limit reached!
% 6.94/1.39 % (3585593)------------------------------
% 6.94/1.39 % (3585593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585593)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585593)Termination reason: Instruction limit
% 6.94/1.39 % (3585593)Termination phase: Saturation
% 6.94/1.39 % (3585593)Time elapsed: 0.073 s
% 6.94/1.39 % (3585593)Peak memory usage: 13 MB
% 6.94/1.39 % (3585593)Instructions burned: 138 (million)
% 6.94/1.39 % (3585604)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=510392154:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 6.94/1.39 % (3585605)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1609900410:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 6.94/1.39 % (3585601)Instruction limit reached!
% 6.94/1.39 % (3585601)------------------------------
% 6.94/1.39 % (3585601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585601)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585601)Termination reason: Instruction limit
% 6.94/1.39 % (3585601)Termination phase: Saturation
% 6.94/1.39 % (3585601)Time elapsed: 0.056 s
% 6.94/1.39 % (3585601)Peak memory usage: 12 MB
% 6.94/1.39 % (3585601)Instructions burned: 118 (million)
% 6.94/1.39 % (3585608)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=1994217594: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_2991 on theBenchmark for (2991ds/9840Mi)
% 6.94/1.39 % (3585589)Instruction limit reached!
% 6.94/1.39 % (3585589)------------------------------
% 6.94/1.39 % (3585589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585589)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585589)Termination reason: Instruction limit
% 6.94/1.39 % (3585589)Termination phase: Saturation
% 6.94/1.39 % (3585589)Time elapsed: 0.179 s
% 6.94/1.39 % (3585589)Peak memory usage: 15 MB
% 6.94/1.39 % (3585589)Instructions burned: 339 (million)
% 6.94/1.39 % (3585610)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1953513734:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 6.94/1.39 % (3585610)Refutation not found, incomplete strategy
% 6.94/1.39 % (3585610)------------------------------
% 6.94/1.39 % (3585610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585610)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585610)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.39 % (3585610)Time elapsed: 0.003 s
% 6.94/1.39 % (3585610)Peak memory usage: 12 MB
% 6.94/1.39 % (3585610)Instructions burned: 4 (million)
% 6.94/1.39 % (3585610)------------------------------
% 6.94/1.39 % (3585610)------------------------------
% 6.94/1.39 % (3585596)Instruction limit reached!
% 6.94/1.39 % (3585596)------------------------------
% 6.94/1.39 % (3585596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.39 % (3585596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.39 % (3585596)CaDiCaL version: 2.1.3
% 6.94/1.39 % (3585596)Termination reason: Instruction limit
% 6.94/1.39 % (3585596)Termination phase: Saturation
% 6.94/1.39 % (3585596)Time elapsed: 0.164 s
% 7.95/1.57 % (3585596)Peak memory usage: 14 MB
% 7.95/1.57 % (3585596)Instructions burned: 341 (million)
% 7.95/1.57 % (3585612)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
% 7.95/1.57 % (3585612)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=123566469:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 7.95/1.57 % (3585612)Refutation not found, incomplete strategy
% 7.95/1.57 % (3585612)------------------------------
% 7.95/1.57 % (3585612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (3585612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (3585612)CaDiCaL version: 2.1.3
% 7.95/1.57 % (3585612)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.57 % (3585612)Time elapsed: 0.006 s
% 7.95/1.57 % (3585612)Peak memory usage: 12 MB
% 7.95/1.57 % (3585612)Instructions burned: 12 (million)
% 7.95/1.57 % (3585613)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1980418589:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 7.95/1.57 % (3585612)------------------------------
% 7.95/1.57 % (3585612)------------------------------
% 7.95/1.57 % (3585605)Instruction limit reached!
% 7.95/1.57 % (3585605)------------------------------
% 7.95/1.57 % (3585605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (3585605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (3585605)CaDiCaL version: 2.1.3
% 7.95/1.57 % (3585605)Termination reason: Instruction limit
% 7.95/1.57 % (3585605)Termination phase: Saturation
% 7.95/1.57 % (3585605)Time elapsed: 0.128 s
% 7.95/1.57 % (3585605)Peak memory usage: 12 MB
% 7.95/1.57 % (3585605)Instructions burned: 270 (million)
% 7.95/1.57 % (3585600)Instruction limit reached!
% 7.95/1.57 % (3585600)------------------------------
% 7.95/1.57 % (3585600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (3585600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (3585600)CaDiCaL version: 2.1.3
% 7.95/1.57 % (3585600)Termination reason: Instruction limit
% 7.95/1.57 % (3585600)Termination phase: Saturation
% 7.95/1.57 % (3585600)Time elapsed: 0.167 s
% 7.95/1.57 % (3585600)Peak memory usage: 12 MB
% 7.95/1.57 % (3585600)Instructions burned: 375 (million)
% 7.95/1.57 % (3585613)Instruction limit reached!
% 7.95/1.57 % (3585613)------------------------------
% 7.95/1.57 % (3585613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.57 % (3585613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.57 % (3585613)CaDiCaL version: 2.1.3
% 7.95/1.57 % (3585613)Termination reason: Instruction limit
% 7.95/1.57 % (3585613)Termination phase: Saturation
% 7.95/1.57 % (3585613)Time elapsed: 0.015 s
% 7.95/1.57 % (3585613)Peak memory usage: 12 MB
% 7.95/1.57 % (3585613)Instructions burned: 32 (million)
% 7.95/1.57 % (3585616)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.95/1.57 % (3585616)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
% 7.95/1.57 % (3585616)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=3236689980:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 7.95/1.57 % (3585617)dis+10_2_sil=128000:si=on:random_seed=1850522426:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 7.95/1.57 % (3585618)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2941326367:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 7.95/1.57 % (3585619)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=1469446626:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 7.95/1.57 % (3585617)Refutation not found, incomplete strategy
% 8.86/1.86 % (3585617)------------------------------
% 8.86/1.86 % (3585617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.86 % (3585617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.86 % (3585617)CaDiCaL version: 2.1.3
% 8.86/1.86 % (3585617)Termination reason: Refutation not found, incomplete strategy
% 8.86/1.86 % (3585617)Time elapsed: 0.004 s
% 8.86/1.86 % (3585617)Peak memory usage: 12 MB
% 8.86/1.86 % (3585617)Instructions burned: 8 (million)
% 8.86/1.86 % (3585617)------------------------------
% 8.86/1.86 % (3585617)------------------------------
% 8.86/1.86 % (3585619)Refutation not found, incomplete strategy
% 8.86/1.86 % (3585619)------------------------------
% 8.86/1.86 % (3585619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.86 % (3585619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.86 % (3585619)CaDiCaL version: 2.1.3
% 8.86/1.86 % (3585619)Termination reason: Refutation not found, incomplete strategy
% 8.86/1.86 % (3585619)Time elapsed: 0.005 s
% 8.86/1.86 % (3585619)Peak memory usage: 12 MB
% 8.86/1.86 % (3585619)Instructions burned: 10 (million)
% 8.86/1.86 % (3585619)------------------------------
% 8.86/1.86 % (3585619)------------------------------
% 8.86/1.86 % (3585624)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=4107625385:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/136Mi)
% 8.86/1.86 % (3585625)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2846059303:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 8.86/1.86 % (3585618)Instruction limit reached!
% 8.86/1.86 % (3585618)------------------------------
% 8.86/1.86 % (3585618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.86 % (3585618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.86 % (3585618)CaDiCaL version: 2.1.3
% 8.86/1.86 % (3585618)Termination reason: Instruction limit
% 8.86/1.86 % (3585618)Termination phase: Saturation
% 8.86/1.86 % (3585618)Time elapsed: 0.054 s
% 8.86/1.86 % (3585618)Peak memory usage: 12 MB
% 8.86/1.86 % (3585618)Instructions burned: 111 (million)
% 8.86/1.86 % (3585628)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=1059693391:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 8.86/1.86 % (3585624)Instruction limit reached!
% 8.86/1.86 % (3585624)------------------------------
% 8.86/1.86 % (3585624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.86 % (3585624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.86 % (3585624)CaDiCaL version: 2.1.3
% 8.86/1.86 % (3585624)Termination reason: Instruction limit
% 8.86/1.86 % (3585624)Termination phase: Saturation
% 8.86/1.86 % (3585624)Time elapsed: 0.065 s
% 8.86/1.86 % (3585624)Peak memory usage: 12 MB
% 8.86/1.86 % (3585624)Instructions burned: 136 (million)
% 8.86/1.86 % (3585630)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.86/1.86 % (3585630)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=2829451036:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 8.86/1.86 % (3585604)Instruction limit reached!
% 8.86/1.86 % (3585604)------------------------------
% 8.86/1.86 % (3585604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.86 % (3585604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.86 % (3585604)CaDiCaL version: 2.1.3
% 8.86/1.86 % (3585604)Termination reason: Instruction limit
% 8.86/1.86 % (3585604)Termination phase: Saturation
% 8.86/1.86 % (3585604)Time elapsed: 0.275 s
% 8.86/1.86 % (3585604)Peak memory usage: 13 MB
% 8.86/1.86 % (3585604)Instructions burned: 577 (million)
% 8.86/1.86 % (3585632)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=531225405:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 8.86/1.86 % (3585625)Instruction limit reached!
% 8.86/1.86 % (3585625)------------------------------
% 8.86/1.86 % (3585625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585625)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585625)Termination reason: Instruction limit
% 10.19/1.97 % (3585625)Termination phase: Saturation
% 10.19/1.97 % (3585625)Time elapsed: 0.113 s
% 10.19/1.97 % (3585625)Peak memory usage: 13 MB
% 10.19/1.97 % (3585625)Instructions burned: 233 (million)
% 10.19/1.97 % (3585634)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=1926787250:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 10.19/1.97 % (3585632)Refutation not found, incomplete strategy
% 10.19/1.97 % (3585632)------------------------------
% 10.19/1.97 % (3585632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585632)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585632)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.97 % (3585632)Time elapsed: 0.035 s
% 10.19/1.97 % (3585632)Peak memory usage: 13 MB
% 10.19/1.97 % (3585632)Instructions burned: 70 (million)
% 10.19/1.97 % (3585632)------------------------------
% 10.19/1.97 % (3585632)------------------------------
% 10.19/1.97 % (3585636)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2336758802:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 10.19/1.97 % (3585630)Instruction limit reached!
% 10.19/1.97 % (3585630)------------------------------
% 10.19/1.97 % (3585630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585630)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585630)Termination reason: Instruction limit
% 10.19/1.97 % (3585630)Termination phase: Saturation
% 10.19/1.97 % (3585630)Time elapsed: 0.143 s
% 10.19/1.97 % (3585630)Peak memory usage: 13 MB
% 10.19/1.97 % (3585630)Instructions burned: 283 (million)
% 10.19/1.97 % (3585638)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2835702439:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 10.19/1.97 % (3585638)Refutation not found, incomplete strategy
% 10.19/1.97 % (3585638)------------------------------
% 10.19/1.97 % (3585638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585638)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585638)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.97 % (3585638)Time elapsed: 0.004 s
% 10.19/1.97 % (3585638)Peak memory usage: 12 MB
% 10.19/1.97 % (3585638)Instructions burned: 7 (million)
% 10.19/1.97 % (3585638)------------------------------
% 10.19/1.97 % (3585638)------------------------------
% 10.19/1.97 % (3585636)Instruction limit reached!
% 10.19/1.97 % (3585636)------------------------------
% 10.19/1.97 % (3585636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585636)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585636)Termination reason: Instruction limit
% 10.19/1.97 % (3585636)Termination phase: Saturation
% 10.19/1.97 % (3585636)Time elapsed: 0.102 s
% 10.19/1.97 % (3585636)Peak memory usage: 12 MB
% 10.19/1.97 % (3585636)Instructions burned: 212 (million)
% 10.19/1.97 % (3585640)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3125428753:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 10.19/1.97 % (3585640)Refutation not found, incomplete strategy
% 10.19/1.97 % (3585640)------------------------------
% 10.19/1.97 % (3585640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.19/1.97 % (3585640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/1.97 % (3585640)CaDiCaL version: 2.1.3
% 10.19/1.97 % (3585640)Termination reason: Refutation not found, incomplete strategy
% 10.19/1.97 % (3585640)Time elapsed: 0.008 s
% 10.19/1.97 % (3585640)Peak memory usage: 12 MB
% 10.19/1.97 % (3585640)Instructions burned: 15 (million)
% 10.19/1.97 % (3585640)------------------------------
% 10.19/1.97 % (3585640)------------------------------
% 10.19/1.97 % (3585642)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1996142806:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 10.19/1.97 % (3585643)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3152036571:i=75:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/75Mi)
% 13.40/2.15 % (3585643)Instruction limit reached!
% 13.40/2.15 % (3585643)------------------------------
% 13.40/2.15 % (3585643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585643)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585643)Termination reason: Instruction limit
% 13.40/2.15 % (3585643)Termination phase: Saturation
% 13.40/2.15 % (3585643)Time elapsed: 0.041 s
% 13.40/2.15 % (3585643)Peak memory usage: 12 MB
% 13.40/2.15 % (3585643)Instructions burned: 75 (million)
% 13.40/2.15 % (3585646)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=760568492:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 13.40/2.15 % (3585642)Instruction limit reached!
% 13.40/2.15 % (3585642)------------------------------
% 13.40/2.15 % (3585642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585642)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585642)Termination reason: Instruction limit
% 13.40/2.15 % (3585642)Termination phase: Saturation
% 13.40/2.15 % (3585642)Time elapsed: 0.076 s
% 13.40/2.15 % (3585642)Peak memory usage: 13 MB
% 13.40/2.15 % (3585642)Instructions burned: 154 (million)
% 13.40/2.15 % (3585649)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=4996475:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 13.40/2.15 % (3585649)Instruction limit reached!
% 13.40/2.15 % (3585649)------------------------------
% 13.40/2.15 % (3585649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585649)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585649)Termination reason: Instruction limit
% 13.40/2.15 % (3585649)Termination phase: Saturation
% 13.40/2.15 % (3585649)Time elapsed: 0.075 s
% 13.40/2.15 % (3585649)Peak memory usage: 13 MB
% 13.40/2.15 % (3585649)Instructions burned: 149 (million)
% 13.40/2.15 % (3585651)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1187010838:i=161:piset=and:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/161Mi)
% 13.40/2.15 % (3585646)Instruction limit reached!
% 13.40/2.15 % (3585646)------------------------------
% 13.40/2.15 % (3585646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585646)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585646)Termination reason: Instruction limit
% 13.40/2.15 % (3585646)Termination phase: Saturation
% 13.40/2.15 % (3585646)Time elapsed: 0.150 s
% 13.40/2.15 % (3585646)Peak memory usage: 12 MB
% 13.40/2.15 % (3585646)Instructions burned: 388 (million)
% 13.40/2.15 % (3585653)lrs+10_1_sil=128000:si=on:random_seed=4053661707:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/888Mi)
% 13.40/2.15 % (3585651)Instruction limit reached!
% 13.40/2.15 % (3585651)------------------------------
% 13.40/2.15 % (3585651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585651)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585651)Termination reason: Instruction limit
% 13.40/2.15 % (3585651)Termination phase: Saturation
% 13.40/2.15 % (3585651)Time elapsed: 0.083 s
% 13.40/2.15 % (3585651)Peak memory usage: 13 MB
% 13.40/2.15 % (3585651)Instructions burned: 161 (million)
% 13.40/2.15 % (3585655)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=855223380:i=136:add=on:ins=4:rtra=on:sup=off_2984 on theBenchmark for (2984ds/136Mi)
% 13.40/2.15 % (3585655)Refutation not found, incomplete strategy
% 13.40/2.15 % (3585655)------------------------------
% 13.40/2.15 % (3585655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.40/2.15 % (3585655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.40/2.15 % (3585655)CaDiCaL version: 2.1.3
% 13.40/2.15 % (3585655)Termination reason: Refutation not found, incomplete strategy
% 13.40/2.15 % (3585655)Time elapsed: 0.006 s
% 13.69/2.28 % (3585655)Peak memory usage: 12 MB
% 13.69/2.28 % (3585655)Instructions burned: 12 (million)
% 13.69/2.28 % (3585655)------------------------------
% 13.69/2.28 % (3585655)------------------------------
% 13.69/2.28 % (3585634)Instruction limit reached!
% 13.69/2.28 % (3585634)------------------------------
% 13.69/2.28 % (3585634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585634)CaDiCaL version: 2.1.3
% 13.69/2.28 % (3585634)Termination reason: Instruction limit
% 13.69/2.28 % (3585634)Termination phase: Saturation
% 13.69/2.28 % (3585634)Time elapsed: 0.463 s
% 13.69/2.28 % (3585634)Peak memory usage: 19 MB
% 13.69/2.28 % (3585634)Instructions burned: 866 (million)
% 13.69/2.28 % (3585657)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=1835512849:i=88:s2at=3:nm=2:rtra=on:rawr=on_2983 on theBenchmark for (2983ds/88Mi)
% 13.69/2.28 % (3585658)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=621209238:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2983 on theBenchmark for (2983ds/93Mi)
% 13.69/2.28 % (3585628)Instruction limit reached!
% 13.69/2.28 % (3585628)------------------------------
% 13.69/2.28 % (3585628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585628)CaDiCaL version: 2.1.3
% 13.69/2.28 % (3585628)Termination reason: Instruction limit
% 13.69/2.28 % (3585628)Termination phase: Saturation
% 13.69/2.28 % (3585628)Time elapsed: 0.577 s
% 13.69/2.28 % (3585628)Peak memory usage: 14 MB
% 13.69/2.28 % (3585628)Instructions burned: 1255 (million)
% 13.69/2.28 % (3585661)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4138069938:i=2186:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/2186Mi)
% 13.69/2.28 % (3585657)Instruction limit reached!
% 13.69/2.28 % (3585657)------------------------------
% 13.69/2.28 % (3585657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585657)CaDiCaL version: 2.1.3
% 13.69/2.28 % (3585657)Termination reason: Instruction limit
% 13.69/2.28 % (3585657)Termination phase: Saturation
% 13.69/2.28 % (3585657)Time elapsed: 0.044 s
% 13.69/2.28 % (3585657)Peak memory usage: 13 MB
% 13.69/2.28 % (3585657)Instructions burned: 88 (million)
% 13.69/2.28 % (3585658)Instruction limit reached!
% 13.69/2.28 % (3585658)------------------------------
% 13.69/2.28 % (3585658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585658)CaDiCaL version: 2.1.3
% 13.69/2.28 % (3585658)Termination reason: Instruction limit
% 13.69/2.28 % (3585658)Termination phase: Saturation
% 13.69/2.28 % (3585658)Time elapsed: 0.046 s
% 13.69/2.28 % (3585658)Peak memory usage: 12 MB
% 13.69/2.28 % (3585658)Instructions burned: 93 (million)
% 13.69/2.28 % (3585663)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3585216810:s2a=on:i=240:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/240Mi)
% 13.69/2.28 % (3585664)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3480373132:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/805Mi)
% 13.69/2.28 % (3585616)Instruction limit reached!
% 13.69/2.28 % (3585616)------------------------------
% 13.69/2.28 % (3585616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585616)CaDiCaL version: 2.1.3
% 13.69/2.28 % (3585616)Termination reason: Instruction limit
% 13.69/2.28 % (3585616)Termination phase: Saturation
% 13.69/2.28 % (3585616)Time elapsed: 0.723 s
% 13.69/2.28 % (3585616)Peak memory usage: 17 MB
% 13.69/2.28 % (3585616)Instructions burned: 1441 (million)
% 13.69/2.28 % (3585664)Refutation not found, incomplete strategy
% 13.69/2.28 % (3585664)------------------------------
% 13.69/2.28 % (3585664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.28 % (3585664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.28 % (3585664)CaDiCaL version: 2.1.3
% 14.11/2.37 % (3585664)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.37 % (3585664)Time elapsed: 0.018 s
% 14.11/2.37 % (3585664)Peak memory usage: 12 MB
% 14.11/2.37 % (3585664)Instructions burned: 36 (million)
% 14.11/2.37 % (3585667)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 14.11/2.37 % (3585664)------------------------------
% 14.11/2.37 % (3585664)------------------------------
% 14.11/2.37 % (3585667)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=3556335978:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2982 on theBenchmark for (2982ds/391Mi)
% 14.11/2.37 % (3585667)Refutation not found, incomplete strategy
% 14.11/2.37 % (3585667)------------------------------
% 14.11/2.37 % (3585667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.37 % (3585667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.37 % (3585667)CaDiCaL version: 2.1.3
% 14.11/2.37 % (3585667)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.37 % (3585667)Time elapsed: 0.007 s
% 14.11/2.37 % (3585667)Peak memory usage: 12 MB
% 14.11/2.37 % (3585667)Instructions burned: 13 (million)
% 14.11/2.37 % (3585667)------------------------------
% 14.11/2.37 % (3585667)------------------------------
% 14.11/2.37 % (3585668)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=787518451:i=355:av=off:fsr=off:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/355Mi)
% 14.11/2.37 % (3585670)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3531056172:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/314Mi)
% 14.11/2.37 % (3585670)Refutation not found, incomplete strategy
% 14.11/2.37 % (3585670)------------------------------
% 14.11/2.37 % (3585670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.37 % (3585670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.37 % (3585670)CaDiCaL version: 2.1.3
% 14.11/2.37 % (3585670)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.37 % (3585670)Time elapsed: 0.003 s
% 14.11/2.37 % (3585670)Peak memory usage: 12 MB
% 14.11/2.37 % (3585670)Instructions burned: 5 (million)
% 14.11/2.37 % (3585670)------------------------------
% 14.11/2.37 % (3585670)------------------------------
% 14.11/2.37 % (3585673)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1694302587:s2a=on:i=251:fsr=off:rtra=on_2982 on theBenchmark for (2982ds/251Mi)
% 14.11/2.37 % (3585663)Instruction limit reached!
% 14.11/2.37 % (3585663)------------------------------
% 14.11/2.37 % (3585663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.37 % (3585663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.37 % (3585663)CaDiCaL version: 2.1.3
% 14.11/2.37 % (3585663)Termination reason: Instruction limit
% 14.11/2.37 % (3585663)Termination phase: Saturation
% 14.11/2.37 % (3585663)Time elapsed: 0.110 s
% 14.11/2.37 % (3585663)Peak memory usage: 12 MB
% 14.11/2.37 % (3585663)Instructions burned: 240 (million)
% 14.11/2.37 % (3585675)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=2612976738: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_2981 on theBenchmark for (2981ds/2470Mi)
% 14.11/2.37 % (3585673)Instruction limit reached!
% 14.11/2.37 % (3585673)------------------------------
% 14.11/2.37 % (3585673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.37 % (3585673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.37 % (3585673)CaDiCaL version: 2.1.3
% 14.11/2.37 % (3585673)Termination reason: Instruction limit
% 14.11/2.37 % (3585673)Termination phase: Saturation
% 14.11/2.37 % (3585673)Time elapsed: 0.098 s
% 14.11/2.37 % (3585673)Peak memory usage: 12 MB
% 14.11/2.37 % (3585673)Instructions burned: 251 (million)
% 14.11/2.37 % (3585677)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4147548544:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 14.11/2.37 % (3585668)Instruction limit reached!
% 14.11/2.37 % (3585668)------------------------------
% 14.11/2.37 % (3585668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585668)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585668)Termination reason: Instruction limit
% 15.43/2.59 % (3585668)Termination phase: Saturation
% 15.43/2.59 % (3585668)Time elapsed: 0.160 s
% 15.43/2.59 % (3585668)Peak memory usage: 12 MB
% 15.43/2.59 % (3585668)Instructions burned: 355 (million)
% 15.43/2.59 % (3585679)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3465706803:i=116:ep=RSTC:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/116Mi)
% 15.43/2.59 % (3585653)Instruction limit reached!
% 15.43/2.59 % (3585653)------------------------------
% 15.43/2.59 % (3585653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585653)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585653)Termination reason: Instruction limit
% 15.43/2.59 % (3585653)Termination phase: Saturation
% 15.43/2.59 % (3585653)Time elapsed: 0.425 s
% 15.43/2.59 % (3585653)Peak memory usage: 14 MB
% 15.43/2.59 % (3585653)Instructions burned: 890 (million)
% 15.43/2.59 % (3585679)Instruction limit reached!
% 15.43/2.59 % (3585679)------------------------------
% 15.43/2.59 % (3585679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585679)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585679)Termination reason: Instruction limit
% 15.43/2.59 % (3585679)Termination phase: Saturation
% 15.43/2.59 % (3585679)Time elapsed: 0.057 s
% 15.43/2.59 % (3585679)Peak memory usage: 12 MB
% 15.43/2.59 % (3585679)Instructions burned: 118 (million)
% 15.43/2.59 % (3585576)Instruction limit reached!
% 15.43/2.59 % (3585576)------------------------------
% 15.43/2.59 % (3585576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585576)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585576)Termination reason: Instruction limit
% 15.43/2.59 % (3585576)Termination phase: Saturation
% 15.43/2.59 % (3585576)Time elapsed: 1.469 s
% 15.43/2.59 % (3585576)Peak memory usage: 40 MB
% 15.43/2.59 % (3585576)Instructions burned: 5758 (million)
% 15.43/2.59 % (3585681)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1546554531:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 15.43/2.59 % (3585682)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=2037232527: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_2980 on theBenchmark for (2980ds/30Mi)
% 15.43/2.59 % (3585684)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.43/2.59 % (3585684)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=402436852:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 15.43/2.59 % (3585682)Instruction limit reached!
% 15.43/2.59 % (3585682)------------------------------
% 15.43/2.59 % (3585682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585682)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585682)Termination reason: Instruction limit
% 15.43/2.59 % (3585682)Termination phase: Saturation
% 15.43/2.59 % (3585682)Time elapsed: 0.018 s
% 15.43/2.59 % (3585682)Peak memory usage: 12 MB
% 15.43/2.59 % (3585682)Instructions burned: 31 (million)
% 15.43/2.59 % (3585684)Instruction limit reached!
% 15.43/2.59 % (3585684)------------------------------
% 15.43/2.59 % (3585684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.43/2.59 % (3585684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.43/2.59 % (3585684)CaDiCaL version: 2.1.3
% 15.43/2.59 % (3585684)Termination reason: Instruction limit
% 15.43/2.59 % (3585684)Termination phase: Saturation
% 15.43/2.59 % (3585684)Time elapsed: 0.010 s
% 15.43/2.59 % (3585684)Peak memory usage: 12 MB
% 15.43/2.59 % (3585684)Instructions burned: 40 (million)
% 15.43/2.59 % (3585688)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2980764409:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 16.25/2.76 % (3585687)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1802441215:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.25/2.76 % (3585688)Instruction limit reached!
% 16.25/2.76 % (3585688)------------------------------
% 16.25/2.76 % (3585688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.25/2.76 % (3585688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/2.76 % (3585688)CaDiCaL version: 2.1.3
% 16.25/2.76 % (3585688)Termination reason: Instruction limit
% 16.25/2.76 % (3585688)Termination phase: Saturation
% 16.25/2.76 % (3585688)Time elapsed: 0.043 s
% 16.25/2.76 % (3585688)Peak memory usage: 12 MB
% 16.25/2.76 % (3585688)Instructions burned: 161 (million)
% 16.25/2.76 % (3585691)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
% 16.25/2.76 % (3585691)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=440759842:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/252Mi)
% 16.25/2.76 % (3585691)Refutation not found, incomplete strategy
% 16.25/2.76 % (3585691)------------------------------
% 16.25/2.76 % (3585691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.25/2.76 % (3585691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/2.76 % (3585691)CaDiCaL version: 2.1.3
% 16.25/2.76 % (3585691)Termination reason: Refutation not found, incomplete strategy
% 16.25/2.76 % (3585691)Time elapsed: 0.003 s
% 16.25/2.76 % (3585691)Peak memory usage: 12 MB
% 16.25/2.76 % (3585691)Instructions burned: 12 (million)
% 16.25/2.76 % (3585691)------------------------------
% 16.25/2.76 % (3585691)------------------------------
% 16.25/2.76 % (3585693)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=611375118:i=213:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/213Mi)
% 16.25/2.76 % (3585693)Refutation not found, incomplete strategy
% 16.25/2.76 % (3585693)------------------------------
% 16.25/2.76 % (3585693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.25/2.76 % (3585693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/2.76 % (3585693)CaDiCaL version: 2.1.3
% 16.25/2.76 % (3585693)Termination reason: Refutation not found, incomplete strategy
% 16.25/2.76 % (3585693)Time elapsed: 0.001 s
% 16.25/2.76 % (3585693)Peak memory usage: 12 MB
% 16.25/2.76 % (3585693)Instructions burned: 4 (million)
% 16.25/2.76 % (3585693)------------------------------
% 16.25/2.76 % (3585693)------------------------------
% 16.25/2.76 % (3585695)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3225305322:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 16.25/2.76 % (3585695)Refutation not found, incomplete strategy
% 16.25/2.76 % (3585695)------------------------------
% 16.25/2.76 % (3585695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.25/2.76 % (3585695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/2.76 % (3585695)CaDiCaL version: 2.1.3
% 16.25/2.76 % (3585695)Termination reason: Refutation not found, incomplete strategy
% 16.25/2.76 % (3585695)Time elapsed: 0.003 s
% 16.25/2.76 % (3585695)Peak memory usage: 12 MB
% 16.25/2.76 % (3585695)Instructions burned: 13 (million)
% 16.25/2.76 % (3585695)------------------------------
% 16.25/2.76 % (3585695)------------------------------
% 16.25/2.76 % (3585681)Instruction limit reached!
% 16.25/2.76 % (3585681)------------------------------
% 16.25/2.76 % (3585681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.25/2.76 % (3585681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.25/2.76 % (3585681)CaDiCaL version: 2.1.3
% 16.25/2.76 % (3585681)Termination reason: Instruction limit
% 16.25/2.76 % (3585681)Termination phase: Saturation
% 16.25/2.76 % (3585681)Time elapsed: 0.126 s
% 16.25/2.76 % (3585681)Peak memory usage: 13 MB
% 16.25/2.76 % (3585681)Instructions burned: 272 (million)
% 16.25/2.76 % (3585697)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4227103264:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/763Mi)
% 17.20/2.84 % (3585697)Refutation not found, incomplete strategy
% 17.20/2.84 % (3585697)------------------------------
% 17.20/2.84 % (3585697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.20/2.84 % (3585697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/2.84 % (3585697)CaDiCaL version: 2.1.3
% 17.20/2.84 % (3585697)Termination reason: Refutation not found, incomplete strategy
% 17.20/2.84 % (3585697)Time elapsed: 0.003 s
% 17.20/2.84 % (3585697)Peak memory usage: 12 MB
% 17.20/2.84 % (3585697)Instructions burned: 11 (million)
% 17.20/2.84 % (3585697)------------------------------
% 17.20/2.84 % (3585697)------------------------------
% 17.20/2.84 % (3585700)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3288793981:s2a=on:i=386:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/386Mi)
% 17.20/2.84 % (3585699)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 17.20/2.84 % (3585699)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=746428693:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2978 on theBenchmark for (2978ds/237Mi)
% 17.20/2.84 % (3585677)Instruction limit reached!
% 17.20/2.84 % (3585677)------------------------------
% 17.20/2.84 % (3585677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.20/2.84 % (3585677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/2.84 % (3585677)CaDiCaL version: 2.1.3
% 17.20/2.84 % (3585677)Termination reason: Instruction limit
% 17.20/2.84 % (3585677)Termination phase: Saturation
% 17.20/2.84 % (3585677)Time elapsed: 0.316 s
% 17.20/2.84 % (3585677)Peak memory usage: 14 MB
% 17.20/2.84 % (3585677)Instructions burned: 675 (million)
% 17.20/2.84 % (3585687)Instruction limit reached!
% 17.20/2.84 % (3585687)------------------------------
% 17.20/2.84 % (3585687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.20/2.84 % (3585687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/2.84 % (3585687)CaDiCaL version: 2.1.3
% 17.20/2.84 % (3585687)Termination reason: Instruction limit
% 17.20/2.84 % (3585687)Termination phase: Saturation
% 17.20/2.84 % (3585687)Time elapsed: 0.183 s
% 17.20/2.84 % (3585687)Peak memory usage: 13 MB
% 17.20/2.84 % (3585687)Instructions burned: 365 (million)
% 17.20/2.84 % (3585703)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=180910371:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 17.20/2.84 % (3585700)Instruction limit reached!
% 17.20/2.84 % (3585700)------------------------------
% 17.20/2.84 % (3585700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.20/2.84 % (3585700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/2.84 % (3585700)CaDiCaL version: 2.1.3
% 17.20/2.84 % (3585700)Termination reason: Instruction limit
% 17.20/2.84 % (3585700)Termination phase: Saturation
% 17.20/2.84 % (3585700)Time elapsed: 0.097 s
% 17.20/2.84 % (3585700)Peak memory usage: 13 MB
% 17.20/2.84 % (3585700)Instructions burned: 387 (million)
% 17.20/2.84 % (3585704)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2900671638:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/567Mi)
% 17.20/2.84 % (3585706)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3558066659:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2977 on theBenchmark for (2977ds/379Mi)
% 17.20/2.84 % (3585699)Instruction limit reached!
% 17.20/2.84 % (3585699)------------------------------
% 17.20/2.84 % (3585699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.20/2.84 % (3585699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/2.84 % (3585699)CaDiCaL version: 2.1.3
% 17.20/2.84 % (3585699)Termination reason: Instruction limit
% 17.20/2.84 % (3585699)Termination phase: Saturation
% 17.20/2.84 % (3585699)Time elapsed: 0.115 s
% 17.20/2.84 % (3585699)Peak memory usage: 13 MB
% 17.20/2.84 % (3585699)Instructions burned: 239 (million)
% 17.20/2.84 % (3585709)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3953161385:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2977 on theBenchmark for (2977ds/429Mi)
% 17.20/2.84 % (3585706)Instruction limit reached!
% 17.20/2.84 % (3585706)------------------------------
% 17.86/2.94 % (3585706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585706)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585706)Termination reason: Instruction limit
% 17.86/2.94 % (3585706)Termination phase: Saturation
% 17.86/2.94 % (3585706)Time elapsed: 0.093 s
% 17.86/2.94 % (3585706)Peak memory usage: 13 MB
% 17.86/2.94 % (3585706)Instructions burned: 380 (million)
% 17.86/2.94 % (3585711)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2507593480:i=478:bd=all:rtra=on_2976 on theBenchmark for (2976ds/478Mi)
% 17.86/2.94 % (3585703)Instruction limit reached!
% 17.86/2.94 % (3585703)------------------------------
% 17.86/2.94 % (3585703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585703)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585703)Termination reason: Instruction limit
% 17.86/2.94 % (3585703)Termination phase: Saturation
% 17.86/2.94 % (3585703)Time elapsed: 0.135 s
% 17.86/2.94 % (3585703)Peak memory usage: 12 MB
% 17.86/2.94 % (3585703)Instructions burned: 301 (million)
% 17.86/2.94 % (3585713)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=121595368:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2976 on theBenchmark for (2976ds/445Mi)
% 17.86/2.94 % (3585711)Instruction limit reached!
% 17.86/2.94 % (3585711)------------------------------
% 17.86/2.94 % (3585711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585711)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585711)Termination reason: Instruction limit
% 17.86/2.94 % (3585711)Termination phase: Saturation
% 17.86/2.94 % (3585711)Time elapsed: 0.119 s
% 17.86/2.94 % (3585711)Peak memory usage: 13 MB
% 17.86/2.94 % (3585711)Instructions burned: 481 (million)
% 17.86/2.94 % (3585715)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=862777502:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/71Mi)
% 17.86/2.94 % (3585709)Instruction limit reached!
% 17.86/2.94 % (3585709)------------------------------
% 17.86/2.94 % (3585709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585709)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585709)Termination reason: Instruction limit
% 17.86/2.94 % (3585709)Termination phase: Saturation
% 17.86/2.94 % (3585709)Time elapsed: 0.212 s
% 17.86/2.94 % (3585709)Peak memory usage: 13 MB
% 17.86/2.94 % (3585709)Instructions burned: 431 (million)
% 17.86/2.94 % (3585715)Instruction limit reached!
% 17.86/2.94 % (3585715)------------------------------
% 17.86/2.94 % (3585715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585715)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585715)Termination reason: Instruction limit
% 17.86/2.94 % (3585715)Termination phase: Saturation
% 17.86/2.94 % (3585715)Time elapsed: 0.019 s
% 17.86/2.94 % (3585715)Peak memory usage: 12 MB
% 17.86/2.94 % (3585715)Instructions burned: 71 (million)
% 17.86/2.94 % (3585717)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2728968113:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/302Mi)
% 17.86/2.94 % (3585718)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=896854135:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/4980Mi)
% 17.86/2.94 % (3585718)Refutation not found, incomplete strategy
% 17.86/2.94 % (3585718)------------------------------
% 17.86/2.94 % (3585718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585718)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585718)Termination reason: Refutation not found, incomplete strategy
% 17.86/2.94 % (3585718)Time elapsed: 0.002 s
% 17.86/2.94 % (3585718)Peak memory usage: 12 MB
% 17.86/2.94 % (3585718)Instructions burned: 6 (million)
% 17.86/2.94 % (3585718)------------------------------
% 17.86/2.94 % (3585718)------------------------------
% 17.86/2.94 % (3585717)Refutation not found, incomplete strategy
% 17.86/2.94 % (3585717)------------------------------
% 17.86/2.94 % (3585717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585717)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585717)Termination reason: Refutation not found, incomplete strategy
% 17.86/2.94 % (3585717)Time elapsed: 0.003 s
% 17.86/2.94 % (3585717)Peak memory usage: 12 MB
% 17.86/2.94 % (3585717)Instructions burned: 5 (million)
% 17.86/2.94 % (3585717)------------------------------
% 17.86/2.94 % (3585717)------------------------------
% 17.86/2.94 % (3585704)Instruction limit reached!
% 17.86/2.94 % (3585704)------------------------------
% 17.86/2.94 % (3585704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585704)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585704)Termination reason: Instruction limit
% 17.86/2.94 % (3585704)Termination phase: Saturation
% 17.86/2.94 % (3585704)Time elapsed: 0.274 s
% 17.86/2.94 % (3585704)Peak memory usage: 13 MB
% 17.86/2.94 % (3585704)Instructions burned: 568 (million)
% 17.86/2.94 % (3585721)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
% 17.86/2.94 % (3585721)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 17.86/2.94 % (3585722)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=3521951615:i=76:piset=equals:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/76Mi)
% 17.86/2.94 % (3585723)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=643526747:i=289:rtra=on_2974 on theBenchmark for (2974ds/289Mi)
% 17.86/2.94 % (3585721)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4050565292:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2974 on theBenchmark for (2974ds/100Mi)
% 17.86/2.94 % (3585723)Refutation not found, incomplete strategy
% 17.86/2.94 % (3585723)------------------------------
% 17.86/2.94 % (3585723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585723)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585723)Termination reason: Refutation not found, incomplete strategy
% 17.86/2.94 % (3585723)Time elapsed: 0.006 s
% 17.86/2.94 % (3585723)Peak memory usage: 12 MB
% 17.86/2.94 % (3585723)Instructions burned: 11 (million)
% 17.86/2.94 % (3585723)------------------------------
% 17.86/2.94 % (3585723)------------------------------
% 17.86/2.94 % (3585727)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=4261262343:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2974 on theBenchmark for (2974ds/493Mi)
% 17.86/2.94 % (3585722)Instruction limit reached!
% 17.86/2.94 % (3585722)------------------------------
% 17.86/2.94 % (3585722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585722)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585722)Termination reason: Instruction limit
% 17.86/2.94 % (3585722)Termination phase: Saturation
% 17.86/2.94 % (3585722)Time elapsed: 0.041 s
% 17.86/2.94 % (3585722)Peak memory usage: 12 MB
% 17.86/2.94 % (3585722)Instructions burned: 76 (million)
% 17.86/2.94 % (3585721)Instruction limit reached!
% 17.86/2.94 % (3585721)------------------------------
% 17.86/2.94 % (3585721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585721)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585721)Termination reason: Instruction limit
% 17.86/2.94 % (3585721)Termination phase: Saturation
% 17.86/2.94 % (3585721)Time elapsed: 0.048 s
% 17.86/2.94 % (3585721)Peak memory usage: 12 MB
% 17.86/2.94 % (3585721)Instructions burned: 101 (million)
% 17.86/2.94 % (3585729)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=827555978:cond=on:i=34:hud=10:nm=10:rtra=on_2974 on theBenchmark for (2974ds/34Mi)
% 17.86/2.94 % (3585730)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 17.86/2.94 % (3585730)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=3075908738:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2974 on theBenchmark for (2974ds/372Mi)
% 17.86/2.94 % (3585713)Instruction limit reached!
% 17.86/2.94 % (3585713)------------------------------
% 17.86/2.94 % (3585713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585713)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585713)Termination reason: Instruction limit
% 17.86/2.94 % (3585713)Termination phase: Saturation
% 17.86/2.94 % (3585713)Time elapsed: 0.217 s
% 17.86/2.94 % (3585713)Peak memory usage: 14 MB
% 17.86/2.94 % (3585713)Instructions burned: 446 (million)
% 17.86/2.94 % (3585729)Instruction limit reached!
% 17.86/2.94 % (3585729)------------------------------
% 17.86/2.94 % (3585729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585729)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585729)Termination reason: Instruction limit
% 17.86/2.94 % (3585729)Termination phase: Saturation
% 17.86/2.94 % (3585729)Time elapsed: 0.018 s
% 17.86/2.94 % (3585729)Peak memory usage: 12 MB
% 17.86/2.94 % (3585729)Instructions burned: 35 (million)
% 17.86/2.94 % (3585733)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=875138597:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2973 on theBenchmark for (2973ds/670Mi)
% 17.86/2.94 % (3585730)Refutation not found, incomplete strategy
% 17.86/2.94 % (3585730)------------------------------
% 17.86/2.94 % (3585730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585730)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585730)Termination reason: Refutation not found, incomplete strategy
% 17.86/2.94 % (3585730)Time elapsed: 0.027 s
% 17.86/2.94 % (3585730)Peak memory usage: 12 MB
% 17.86/2.94 % (3585730)Instructions burned: 56 (million)
% 17.86/2.94 % (3585730)------------------------------
% 17.86/2.94 % (3585730)------------------------------
% 17.86/2.94 % (3585734)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1721232015:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/647Mi)
% 17.86/2.94 % (3585736)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1606344141:i=857:add=off:kws=frequency:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/857Mi)
% 17.86/2.94 % (3585736)Refutation not found, incomplete strategy
% 17.86/2.94 % (3585736)------------------------------
% 17.86/2.94 % (3585736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.94 % (3585736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.94 % (3585736)CaDiCaL version: 2.1.3
% 17.86/2.94 % (3585736)Termination reason: Refutation not found, incomplete strategy
% 17.86/2.94 % (3585736)Time elapsed: 0.006 s
% 17.86/2.94 % (3585736)Peak memory usage: 12 MB
% 17.86/2.94 % (3585736)Instructions burned: 12 (million)
% 17.86/2.94 % (3585736)------------------------------
% 17.86/2.94 % (3585736)------------------------------
% 17.86/2.94 % (3585739)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=2402282303:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2973 on theBenchmark for (2973ds/693Mi)
% 17.86/2.94 % (3585661) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3585437-3585661"...
% 17.86/2.94 % (3585661)...printing done.
% 17.86/2.94 % (3585661)Refutation found. Thanks to Tanya!
% 17.86/2.94 % SZS status Theorem for theBenchmark
% 17.86/2.94 % SZS output start Proof for theBenchmark
% See solution above
% 17.86/2.95 % (3585661)------------------------------
% 17.86/2.95 % (3585661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.86/2.95 % (3585661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/2.95 % (3585661)CaDiCaL version: 2.1.3
% 17.86/2.95 % (3585661)Termination reason: Refutation
% 17.86/2.95 % (3585661)Time elapsed: 1.019 s
% 17.86/2.95 % (3585661)Peak memory usage: 17 MB
% 17.86/2.95 % (3585661)Instructions burned: 2155 (million)
% 17.86/2.95 % (3585437)Success in time 2.703 s
% 17.86/2.95 % Vampire exiting
%------------------------------------------------------------------------------