%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:39:57 AM UTC 2026
% Result : Theorem 1.66s 0.54s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 15
% Syntax : Number of formulae : 129 ( 116 unt; 0 typ; 0 def)
% Number of atoms : 929 ( 119 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 1564 ( 48 ~; 89 |; 0 &;1108 @)
% ( 0 <=>; 160 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 191 ( 191 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 48 usr; 7 con; 0-4 aty)
% ( 159 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 401 ( 370 ^; 31 !; 0 ?; 401 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
rel: $i > $i > $o ).
thf(func_def_21,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
icl_true: $i > $o ).
thf(func_def_27,type,
icl_false: $i > $o ).
thf(func_def_28,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_29,type,
iclval: ( $i > $o ) > $o ).
thf(func_def_30,type,
admin: $i > $o ).
thf(func_def_31,type,
bob: $i > $o ).
thf(func_def_32,type,
deletefile1: $i > $o ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_35,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vAND: $o > $o > $o ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vNOT: $o > $o ).
thf(func_def_44,type,
vIMP: $o > $o > $o ).
thf(func_def_45,type,
vOR: $o > $o > $o ).
thf(func_def_46,type,
db4:
!>[X0: $tType] : X0 ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimpl ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) )
= icl_atom ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( ( ^ [X0: $i > $o] : X0 )
= icl_princ ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(f20,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) )
= icl_impl ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f23,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) )
= icl_says ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( ( ^ [X0: $i > $o] : ( mvalid @ X0 ) )
= iclval ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^1.ax',refl_axiom) ).
thf(f27,axiom,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(f28,axiom,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(f29,axiom,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(f30,conjecture,
iclval @ ( icl_atom @ deletefile1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex1) ).
thf(f31,negated_conjecture,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f32,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f33,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f34,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ Y0 ) @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f33]) ).
thf(f36,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f44,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f46,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f51,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f52,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f53,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f12]) ).
thf(f54,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f31]) ).
thf(f56,plain,
( ( ~ ( iclval @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(fool_elimination,[],[f55]) ).
thf(f58,plain,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f29]) ).
thf(f59,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(fool_elimination,[],[f58]) ).
thf(f64,plain,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f27]) ).
thf(f65,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(fool_elimination,[],[f64]) ).
thf(f68,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f69,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f72,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f73,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f75,plain,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f76,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f75]) ).
thf(f77,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f78,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f81,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f83,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f84,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ Y0 ) @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f34]) ).
thf(f87,plain,
( ( ~ ( iclval @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(cnf_transformation,[],[f56]) ).
thf(f88,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f89,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f90,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f94,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f76]) ).
thf(f95,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f98,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(cnf_transformation,[],[f65]) ).
thf(f99,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f101,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f103,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f105,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f106,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f111,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f99,f106,f103]) ).
thf(f113,plain,
( icl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 ) ) ),
inference(definition_unfolding,[],[f81,f88]) ).
thf(f116,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f90,f88,f111]) ).
thf(f119,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f89,f88,f106]) ).
thf(f120,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f95,f105]) ).
thf(f121,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f84,f105,f111,f88]) ).
thf(f122,plain,
( ( ~ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) ) )
= $true ),
inference(definition_unfolding,[],[f87,f120,f113]) ).
thf(f123,plain,
( ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ admin )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ bob )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f94,f120,f119,f83,f116,f119,f83,f113,f113]) ).
thf(f124,plain,
( ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ admin )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) ) )
= $true ),
inference(definition_unfolding,[],[f98,f120,f116,f119,f83,f113,f113]) ).
thf(f125,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ bob )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ deletefile1 ) ) ) ),
inference(definition_unfolding,[],[f101,f120,f119,f83,f113]) ).
thf(f128,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f129,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( admin @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( bob @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( deletefile1 @ Y4 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f123]) ).
thf(f130,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( admin @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f131,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
| ( Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f132,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f133,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f132]) ).
thf(f134,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f133]) ).
thf(f136,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( deletefile1 @ Y0 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f134]) ).
thf(f138,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f136]) ).
thf(f139,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( deletefile1 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
( $false
= ( deletefile1 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f139]) ).
thf(f141,plain,
( $true
= ( rel @ sK0 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f139]) ).
thf(f146,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
| ( Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f131]) ).
thf(f147,plain,
! [X1: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
| ( X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f150,plain,
! [X2: $i,X1: $i > $o] :
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
| ( X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f147]) ).
thf(f151,plain,
! [X2: $i,X1: $i > $o] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
| ( X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f150]) ).
thf(f153,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) )
| $false )
= $true ),
inference(superposition,[],[f151,f140]) ).
thf(f156,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f153]) ).
thf(f157,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f128]) ).
thf(f158,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( bob @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f157]) ).
thf(f159,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f156]) ).
thf(f193,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( admin @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f130]) ).
thf(f194,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( admin @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f193]) ).
thf(f196,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( admin @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f194]) ).
thf(f197,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( rel @ X1 @ X2 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f196]) ).
thf(f201,plain,
( $true
= ( $true
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(superposition,[],[f197,f141]) ).
thf(f204,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f201]) ).
thf(f207,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| $false )
= $true ),
inference(forward_demodulation,[],[f204,f159]) ).
thf(f208,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f207]) ).
thf(f211,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( admin @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( bob @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( deletefile1 @ Y4 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f129]) ).
thf(f212,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( bob @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f219,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( bob @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f212]) ).
thf(f220,plain,
! [X2: $i,X1: $i] :
( ( ( rel @ X1 @ X2 )
=> ( ( admin @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f219]) ).
thf(f237,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f240,plain,
( ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ sK5 )
= $false ),
inference(sigma_proxy_clausification,[],[f237]) ).
thf(f241,plain,
( $false
= ( ( rel @ sK1 @ sK5 )
=> ( ( admin @ sK5 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f240]) ).
thf(f244,plain,
( ( ( admin @ sK5 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f241]) ).
thf(f245,plain,
( ( rel @ sK1 @ sK5 )
= $true ),
inference(imp_proxy_clausification,[],[f241]) ).
thf(f263,plain,
( ( $true
=> ( ( admin @ sK5 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(superposition,[],[f220,f245]) ).
thf(f264,plain,
( ( $true
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) )
= $true ),
inference(superposition,[],[f197,f245]) ).
thf(f270,plain,
( ( ( admin @ sK5 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f263]) ).
thf(f271,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f264]) ).
thf(f339,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f244]) ).
thf(f340,plain,
( $false
= ( admin @ sK5 ) ),
inference(or_proxy_clausification,[],[f244]) ).
thf(f441,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f271]) ).
thf(f442,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f441,f339]) ).
thf(f443,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f454,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f443]) ).
thf(f456,plain,
( ( ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ sK13 )
= $false ),
inference(sigma_proxy_clausification,[],[f454]) ).
thf(f457,plain,
( ( ( rel @ sK5 @ sK13 )
=> ( ( admin @ sK13 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK13 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f456]) ).
thf(f460,plain,
( ( ( admin @ sK13 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK13 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f457]) ).
thf(f461,plain,
( ( rel @ sK5 @ sK13 )
= $true ),
inference(imp_proxy_clausification,[],[f457]) ).
thf(f542,plain,
( ( $false
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(superposition,[],[f270,f340]) ).
thf(f543,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f542]) ).
thf(f694,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK13 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f460]) ).
thf(f737,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f543]) ).
thf(f738,plain,
! [X1: $i] :
( ( ( rel @ sK5 @ X1 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( bob @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f737]) ).
thf(f739,plain,
! [X1: $i] :
( ( ( rel @ sK5 @ X1 )
=> ( ~ $true
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) )
= $true ),
inference(forward_demodulation,[],[f738,f158]) ).
thf(f740,plain,
! [X1: $i] :
( ( ( rel @ sK5 @ X1 )
=> ( $false
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f739]) ).
thf(f741,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK5 @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f740]) ).
thf(f754,plain,
( ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK13 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
= $true ),
inference(superposition,[],[f741,f461]) ).
thf(f757,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK13 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f754]) ).
thf(f759,plain,
$false = $true,
inference(forward_demodulation,[],[f757,f694]) ).
thf(f760,plain,
$false,
inference(trivial_inequality_removal,[],[f759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:07:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.92/0.39 % (1424282)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.92/0.39 % (1424290)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=786830186: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)
% 0.92/0.39 % (1424293)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.92/0.39 % (1424293)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
% 0.92/0.39 % (1424289)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2071140813:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.92/0.39 % (1424288)lrs+10_16_si=on:nwc=1.5:random_seed=1369058397:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.92/0.39 % (1424287)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1646620373:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.92/0.39 % (1424292)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3979737355:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.92/0.39 % (1424291)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2571076926:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.92/0.39 % (1424293)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=1916347677:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.92/0.39 % (1424289)Instruction limit reached!
% 0.92/0.39 % (1424289)------------------------------
% 0.92/0.39 % (1424289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39 % (1424289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39 % (1424289)CaDiCaL version: 2.1.3
% 0.92/0.39 % (1424289)Termination reason: Instruction limit
% 0.92/0.39 % (1424289)Termination phase: Function definition elimination
% 0.92/0.39 % (1424289)Time elapsed: 0.002 s
% 0.92/0.39 % (1424289)Peak memory usage: 10 MB
% 0.92/0.39 % (1424289)Instructions burned: 3 (million)
% 0.92/0.39 % (1424288)Instruction limit reached!
% 0.92/0.39 % (1424288)------------------------------
% 0.92/0.39 % (1424288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39 % (1424288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39 % (1424288)CaDiCaL version: 2.1.3
% 0.92/0.39 % (1424288)Termination reason: Instruction limit
% 0.92/0.39 % (1424288)Termination phase: Saturation
% 0.92/0.39 % (1424288)Time elapsed: 0.010 s
% 0.92/0.39 % (1424288)Peak memory usage: 12 MB
% 0.92/0.39 % (1424288)Instructions burned: 20 (million)
% 0.92/0.39 % (1424291)Instruction limit reached!
% 0.92/0.39 % (1424291)------------------------------
% 0.92/0.39 % (1424291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39 % (1424291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39 % (1424291)CaDiCaL version: 2.1.3
% 0.92/0.39 % (1424291)Termination reason: Instruction limit
% 0.92/0.39 % (1424291)Termination phase: Saturation
% 0.92/0.39 % (1424291)Time elapsed: 0.015 s
% 0.92/0.39 % (1424291)Peak memory usage: 11 MB
% 0.92/0.39 % (1424291)Instructions burned: 26 (million)
% 0.92/0.39 % (1424301)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1565238746:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.92/0.39 % (1424301)Instruction limit reached!
% 0.92/0.39 % (1424301)------------------------------
% 0.92/0.39 % (1424301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.39 % (1424301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.39 % (1424301)CaDiCaL version: 2.1.3
% 0.92/0.39 % (1424301)Termination reason: Instruction limit
% 0.92/0.39 % (1424301)Termination phase: Function definition elimination
% 0.92/0.39 % (1424301)Time elapsed: 0.004 s
% 0.92/0.39 % (1424301)Peak memory usage: 10 MB
% 0.92/0.39 % (1424301)Instructions burned: 4 (million)
% 0.92/0.39 % (1424302)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1212530819:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.92/0.41 % (1424303)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.41 % (1424302)Instruction limit reached!
% 0.92/0.41 % (1424302)------------------------------
% 0.92/0.41 % (1424302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (1424302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (1424302)CaDiCaL version: 2.1.3
% 0.92/0.41 % (1424302)Termination reason: Instruction limit
% 0.92/0.41 % (1424302)Termination phase: Saturation
% 0.92/0.41 % (1424302)Time elapsed: 0.003 s
% 0.92/0.41 % (1424302)Peak memory usage: 11 MB
% 0.92/0.41 % (1424302)Instructions burned: 6 (million)
% 0.92/0.41 % (1424303)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2753935296:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.92/0.41 % (1424303)Instruction limit reached!
% 0.92/0.41 % (1424303)------------------------------
% 0.92/0.41 % (1424303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (1424303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (1424303)CaDiCaL version: 2.1.3
% 0.92/0.41 % (1424303)Termination reason: Instruction limit
% 0.92/0.41 % (1424303)Termination phase: Saturation
% 0.92/0.41 % (1424303)Time elapsed: 0.004 s
% 0.92/0.41 % (1424303)Peak memory usage: 11 MB
% 0.92/0.41 % (1424303)Instructions burned: 9 (million)
% 0.92/0.41 % (1424287)Instruction limit reached!
% 0.92/0.41 % (1424287)------------------------------
% 0.92/0.41 % (1424287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.41 % (1424287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.41 % (1424287)CaDiCaL version: 2.1.3
% 0.92/0.41 % (1424287)Termination reason: Instruction limit
% 0.92/0.41 % (1424287)Termination phase: Saturation
% 0.92/0.41 % (1424287)Time elapsed: 0.044 s
% 0.92/0.41 % (1424287)Peak memory usage: 12 MB
% 0.92/0.41 % (1424287)Instructions burned: 87 (million)
% 0.92/0.41 % (1424292)Instruction limit reached!
% 0.92/0.41 % (1424292)------------------------------
% 0.92/0.42 % (1424292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.42 % (1424292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.42 % (1424292)CaDiCaL version: 2.1.3
% 0.92/0.42 % (1424292)Termination reason: Instruction limit
% 0.92/0.42 % (1424292)Termination phase: Saturation
% 0.92/0.42 % (1424292)Time elapsed: 0.045 s
% 0.92/0.42 % (1424292)Peak memory usage: 12 MB
% 0.92/0.42 % (1424292)Instructions burned: 77 (million)
% 0.92/0.42 % (1424309)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
% 0.92/0.42 % (1424309)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.92/0.42 % (1424310)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=3734070021:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.92/0.42 % (1424313)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.92/0.42 % (1424306)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2973044489:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.92/0.42 % (1424313)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=2993878519:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.92/0.42 % (1424313)Instruction limit reached!
% 0.92/0.42 % (1424313)------------------------------
% 0.92/0.42 % (1424313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.42 % (1424313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.42 % (1424313)CaDiCaL version: 2.1.3
% 0.92/0.42 % (1424313)Termination reason: Instruction limit
% 0.92/0.42 % (1424313)Termination phase: Function definition elimination
% 0.92/0.42 % (1424313)Time elapsed: 0.002 s
% 0.92/0.42 % (1424313)Peak memory usage: 10 MB
% 0.92/0.45 % (1424313)Instructions burned: 3 (million)
% 0.92/0.45 % (1424311)lrs+10_1_si=on:cs=on:random_seed=934800622:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.92/0.45 % (1424306)Instruction limit reached!
% 0.92/0.45 % (1424306)------------------------------
% 0.92/0.45 % (1424306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424306)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424306)Termination reason: Instruction limit
% 0.92/0.45 % (1424306)Termination phase: Saturation
% 0.92/0.45 % (1424306)Time elapsed: 0.006 s
% 0.92/0.45 % (1424306)Peak memory usage: 12 MB
% 0.92/0.45 % (1424306)Instructions burned: 13 (million)
% 0.92/0.45 % (1424309)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=190807152:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.92/0.45 % (1424311)Instruction limit reached!
% 0.92/0.45 % (1424311)------------------------------
% 0.92/0.45 % (1424311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424311)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424311)Termination reason: Instruction limit
% 0.92/0.45 % (1424311)Termination phase: Saturation
% 0.92/0.45 % (1424311)Time elapsed: 0.005 s
% 0.92/0.45 % (1424311)Peak memory usage: 11 MB
% 0.92/0.45 % (1424311)Instructions burned: 10 (million)
% 0.92/0.45 % (1424317)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1552776923:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.92/0.45 % (1424320)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=346096950:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.92/0.45 % (1424317)Refutation not found, incomplete strategy
% 0.92/0.45 % (1424317)------------------------------
% 0.92/0.45 % (1424317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424317)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424317)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.45 % (1424317)Time elapsed: 0.002 s
% 0.92/0.45 % (1424317)Peak memory usage: 12 MB
% 0.92/0.45 % (1424317)Instructions burned: 3 (million)
% 0.92/0.45 % (1424317)------------------------------
% 0.92/0.45 % (1424317)------------------------------
% 0.92/0.45 % (1424320)Refutation not found, incomplete strategy
% 0.92/0.45 % (1424320)------------------------------
% 0.92/0.45 % (1424320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424320)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424320)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.45 % (1424320)Time elapsed: 0.003 s
% 0.92/0.45 % (1424320)Peak memory usage: 12 MB
% 0.92/0.45 % (1424320)Instructions burned: 5 (million)
% 0.92/0.45 % (1424321)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=473960308:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.92/0.45 % (1424320)------------------------------
% 0.92/0.45 % (1424320)------------------------------
% 0.92/0.45 % (1424309)Instruction limit reached!
% 0.92/0.45 % (1424309)------------------------------
% 0.92/0.45 % (1424309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424309)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424309)Termination reason: Instruction limit
% 0.92/0.45 % (1424309)Termination phase: Saturation
% 0.92/0.45 % (1424309)Time elapsed: 0.026 s
% 0.92/0.45 % (1424309)Peak memory usage: 12 MB
% 0.92/0.45 % (1424309)Instructions burned: 29 (million)
% 0.92/0.45 % (1424310)Instruction limit reached!
% 0.92/0.45 % (1424310)------------------------------
% 0.92/0.45 % (1424310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.45 % (1424310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.45 % (1424310)CaDiCaL version: 2.1.3
% 0.92/0.45 % (1424310)Termination reason: Instruction limit
% 0.92/0.45 % (1424310)Termination phase: Saturation
% 0.92/0.48 % (1424310)Time elapsed: 0.043 s
% 0.92/0.48 % (1424310)Peak memory usage: 12 MB
% 0.92/0.48 % (1424310)Instructions burned: 88 (million)
% 0.92/0.48 % (1424321)Instruction limit reached!
% 0.92/0.48 % (1424321)------------------------------
% 0.92/0.48 % (1424321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424321)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424321)Termination reason: Instruction limit
% 0.92/0.48 % (1424321)Termination phase: Saturation
% 0.92/0.48 % (1424321)Time elapsed: 0.014 s
% 0.92/0.48 % (1424321)Peak memory usage: 12 MB
% 0.92/0.48 % (1424321)Instructions burned: 25 (million)
% 0.92/0.48 % (1424324)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=639571392:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.92/0.48 % (1424326)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1791190068:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.92/0.48 % (1424327)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2203874220:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.92/0.48 % (1424326)Refutation not found, incomplete strategy
% 0.92/0.48 % (1424326)------------------------------
% 0.92/0.48 % (1424326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424326)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424326)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.48 % (1424326)Time elapsed: 0.005 s
% 0.92/0.48 % (1424326)Peak memory usage: 12 MB
% 0.92/0.48 % (1424326)Instructions burned: 8 (million)
% 0.92/0.48 % (1424293)Instruction limit reached!
% 0.92/0.48 % (1424293)------------------------------
% 0.92/0.48 % (1424293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424293)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424293)Termination reason: Instruction limit
% 0.92/0.48 % (1424293)Termination phase: Saturation
% 0.92/0.48 % (1424293)Time elapsed: 0.116 s
% 0.92/0.48 % (1424293)Peak memory usage: 12 MB
% 0.92/0.48 % (1424293)Instructions burned: 158 (million)
% 0.92/0.48 % (1424324)Instruction limit reached!
% 0.92/0.48 % (1424324)------------------------------
% 0.92/0.48 % (1424324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424324)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424324)Termination reason: Instruction limit
% 0.92/0.48 % (1424324)Termination phase: Saturation
% 0.92/0.48 % (1424324)Time elapsed: 0.007 s
% 0.92/0.48 % (1424324)Peak memory usage: 12 MB
% 0.92/0.48 % (1424324)Instructions burned: 14 (million)
% 0.92/0.48 % (1424326)------------------------------
% 0.92/0.48 % (1424326)------------------------------
% 0.92/0.48 % (1424328)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1909431476: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)
% 0.92/0.48 % (1424328)Instruction limit reached!
% 0.92/0.48 % (1424328)------------------------------
% 0.92/0.48 % (1424328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424328)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424328)Termination reason: Instruction limit
% 0.92/0.48 % (1424328)Termination phase: Property scanning
% 0.92/0.48 % (1424328)Time elapsed: 0.002 s
% 0.92/0.48 % (1424328)Peak memory usage: 11 MB
% 0.92/0.48 % (1424328)Instructions burned: 3 (million)
% 0.92/0.48 % (1424327)Instruction limit reached!
% 0.92/0.48 % (1424327)------------------------------
% 0.92/0.48 % (1424327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.48 % (1424327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.48 % (1424327)CaDiCaL version: 2.1.3
% 0.92/0.48 % (1424327)Termination reason: Instruction limit
% 0.92/0.48 % (1424327)Termination phase: Saturation
% 0.92/0.48 % (1424327)Time elapsed: 0.008 s
% 0.92/0.48 % (1424327)Peak memory usage: 12 MB
% 0.92/0.48 % (1424327)Instructions burned: 15 (million)
% 0.92/0.48 % (1424329)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=94228999:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.66/0.50 % (1424335)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.66/0.50 % (1424335)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.66/0.50 % (1424333)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1720478827:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.66/0.50 % (1424335)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=3084645068:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.66/0.50 % (1424334)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=715176391:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.66/0.50 % (1424337)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.66/0.50 % (1424329)Instruction limit reached!
% 1.66/0.50 % (1424329)------------------------------
% 1.66/0.50 % (1424329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.50 % (1424329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.50 % (1424329)CaDiCaL version: 2.1.3
% 1.66/0.50 % (1424329)Termination reason: Instruction limit
% 1.66/0.50 % (1424329)Termination phase: Saturation
% 1.66/0.50 % (1424329)Time elapsed: 0.015 s
% 1.66/0.50 % (1424329)Peak memory usage: 12 MB
% 1.66/0.50 % (1424329)Instructions burned: 27 (million)
% 1.66/0.50 % (1424338)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=3574524254:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.66/0.50 % (1424337)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=983107789:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.66/0.50 % (1424335)Instruction limit reached!
% 1.66/0.50 % (1424335)------------------------------
% 1.66/0.50 % (1424335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.50 % (1424335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.50 % (1424335)CaDiCaL version: 2.1.3
% 1.66/0.50 % (1424335)Termination reason: Instruction limit
% 1.66/0.50 % (1424335)Termination phase: Saturation
% 1.66/0.50 % (1424335)Time elapsed: 0.008 s
% 1.66/0.50 % (1424335)Peak memory usage: 12 MB
% 1.66/0.50 % (1424335)Instructions burned: 14 (million)
% 1.66/0.50 % (1424337)Instruction limit reached!
% 1.66/0.50 % (1424337)------------------------------
% 1.66/0.50 % (1424337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.50 % (1424337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.50 % (1424337)CaDiCaL version: 2.1.3
% 1.66/0.50 % (1424337)Termination reason: Instruction limit
% 1.66/0.50 % (1424337)Termination phase: Saturation
% 1.66/0.50 % (1424337)Time elapsed: 0.004 s
% 1.66/0.50 % (1424337)Peak memory usage: 12 MB
% 1.66/0.50 % (1424337)Instructions burned: 9 (million)
% 1.66/0.50 % (1424333)Instruction limit reached!
% 1.66/0.50 % (1424333)------------------------------
% 1.66/0.50 % (1424333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.50 % (1424333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.50 % (1424333)CaDiCaL version: 2.1.3
% 1.66/0.50 % (1424333)Termination reason: Instruction limit
% 1.66/0.50 % (1424333)Termination phase: Saturation
% 1.66/0.50 % (1424333)Time elapsed: 0.013 s
% 1.66/0.50 % (1424333)Peak memory usage: 11 MB
% 1.66/0.50 % (1424333)Instructions burned: 24 (million)
% 1.66/0.50 % (1424343)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2364480281:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.66/0.50 % (1424338)Instruction limit reached!
% 1.66/0.50 % (1424338)------------------------------
% 1.66/0.50 % (1424338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424338)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424338)Termination reason: Instruction limit
% 1.66/0.54 % (1424338)Termination phase: Saturation
% 1.66/0.54 % (1424338)Time elapsed: 0.017 s
% 1.66/0.54 % (1424338)Peak memory usage: 12 MB
% 1.66/0.54 % (1424338)Instructions burned: 32 (million)
% 1.66/0.54 % (1424346)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1907678766:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.66/0.54 % (1424343)Instruction limit reached!
% 1.66/0.54 % (1424343)------------------------------
% 1.66/0.54 % (1424343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424343)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424343)Termination reason: Instruction limit
% 1.66/0.54 % (1424343)Termination phase: Saturation
% 1.66/0.54 % (1424343)Time elapsed: 0.004 s
% 1.66/0.54 % (1424343)Peak memory usage: 11 MB
% 1.66/0.54 % (1424343)Instructions burned: 8 (million)
% 1.66/0.54 % (1424347)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1134101820:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.66/0.54 % (1424348)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=272013845:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.66/0.54 % (1424334)Instruction limit reached!
% 1.66/0.54 % (1424334)------------------------------
% 1.66/0.54 % (1424334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424334)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424334)Termination reason: Instruction limit
% 1.66/0.54 % (1424334)Termination phase: Saturation
% 1.66/0.54 % (1424334)Time elapsed: 0.032 s
% 1.66/0.54 % (1424334)Peak memory usage: 12 MB
% 1.66/0.54 % (1424334)Instructions burned: 61 (million)
% 1.66/0.54 % (1424346)Instruction limit reached!
% 1.66/0.54 % (1424346)------------------------------
% 1.66/0.54 % (1424346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424346)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424346)Termination reason: Instruction limit
% 1.66/0.54 % (1424346)Termination phase: Saturation
% 1.66/0.54 % (1424346)Time elapsed: 0.010 s
% 1.66/0.54 % (1424346)Peak memory usage: 11 MB
% 1.66/0.54 % (1424346)Instructions burned: 24 (million)
% 1.66/0.54 % (1424290)Instruction limit reached!
% 1.66/0.54 % (1424290)------------------------------
% 1.66/0.54 % (1424290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424350)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2981105517:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.66/0.54 % (1424290)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424290)Termination reason: Instruction limit
% 1.66/0.54 % (1424290)Termination phase: Saturation
% 1.66/0.54 % (1424290)Time elapsed: 0.187 s
% 1.66/0.54 % (1424290)Peak memory usage: 16 MB
% 1.66/0.54 % (1424290)Instructions burned: 636 (million)
% 1.66/0.54 % (1424352)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2568921751:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.66/0.54 % (1424352)Refutation not found, incomplete strategy
% 1.66/0.54 % (1424352)------------------------------
% 1.66/0.54 % (1424352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424352)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424352)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.54 % (1424352)Time elapsed: 0.004 s
% 1.66/0.54 % (1424352)Peak memory usage: 12 MB
% 1.66/0.54 % (1424352)Instructions burned: 7 (million)
% 1.66/0.54 % (1424355)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2028203576:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.66/0.54 % (1424352)------------------------------
% 1.66/0.54 % (1424352)------------------------------
% 1.66/0.54 % (1424356)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.66/0.54 % (1424358)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=628367066:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.66/0.54 % (1424347)Instruction limit reached!
% 1.66/0.54 % (1424347)------------------------------
% 1.66/0.54 % (1424347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424347)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424347)Termination reason: Instruction limit
% 1.66/0.54 % (1424347)Termination phase: Saturation
% 1.66/0.54 % (1424347)Time elapsed: 0.024 s
% 1.66/0.54 % (1424347)Peak memory usage: 12 MB
% 1.66/0.54 % (1424347)Instructions burned: 20 (million)
% 1.66/0.54 % (1424358)Refutation not found, incomplete strategy
% 1.66/0.54 % (1424358)------------------------------
% 1.66/0.54 % (1424358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424358)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424358)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.54 % (1424358)Time elapsed: 0.001 s
% 1.66/0.54 % (1424358)Peak memory usage: 12 MB
% 1.66/0.54 % (1424358)Instructions burned: 3 (million)
% 1.66/0.54 % (1424358)------------------------------
% 1.66/0.54 % (1424358)------------------------------
% 1.66/0.54 % (1424356)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3798836589:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.66/0.54 % (1424356)Instruction limit reached!
% 1.66/0.54 % (1424356)------------------------------
% 1.66/0.54 % (1424356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424356)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424356)Termination reason: Instruction limit
% 1.66/0.54 % (1424356)Termination phase: Saturation
% 1.66/0.54 % (1424356)Time elapsed: 0.004 s
% 1.66/0.54 % (1424356)Peak memory usage: 11 MB
% 1.66/0.54 % (1424356)Instructions burned: 7 (million)
% 1.66/0.54 % (1424364)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=654610533:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.66/0.54 % (1424361)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=2685677844: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)
% 1.66/0.54 % (1424364)Instruction limit reached!
% 1.66/0.54 % (1424364)------------------------------
% 1.66/0.54 % (1424364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424364)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424364)Termination reason: Instruction limit
% 1.66/0.54 % (1424364)Termination phase: Saturation
% 1.66/0.54 % (1424364)Time elapsed: 0.006 s
% 1.66/0.54 % (1424364)Peak memory usage: 12 MB
% 1.66/0.54 % (1424364)Instructions burned: 24 (million)
% 1.66/0.54 % (1424361)Refutation not found, incomplete strategy
% 1.66/0.54 % (1424361)------------------------------
% 1.66/0.54 % (1424361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424361)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424361)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.54 % (1424361)Time elapsed: 0.004 s
% 1.66/0.54 % (1424361)Peak memory usage: 12 MB
% 1.66/0.54 % (1424361)Instructions burned: 6 (million)
% 1.66/0.54 % (1424361)------------------------------
% 1.66/0.54 % (1424361)------------------------------
% 1.66/0.54 % (1424355)Instruction limit reached!
% 1.66/0.54 % (1424355)------------------------------
% 1.66/0.54 % (1424355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424355)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424355)Termination reason: Instruction limit
% 1.66/0.54 % (1424355)Termination phase: Saturation
% 1.66/0.54 % (1424355)Time elapsed: 0.024 s
% 1.66/0.54 % (1424355)Peak memory usage: 12 MB
% 1.66/0.54 % (1424355)Instructions burned: 44 (million)
% 1.66/0.54 % (1424363)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.66/0.54 % (1424369)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=2568614325:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.66/0.54 % (1424363)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1383229216:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.66/0.54 % (1424370)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=1767014286: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)
% 1.66/0.54 % (1424371)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=1830858452: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)
% 1.66/0.54 % (1424363)Instruction limit reached!
% 1.66/0.54 % (1424363)------------------------------
% 1.66/0.54 % (1424363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424363)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424363)Termination reason: Instruction limit
% 1.66/0.54 % (1424363)Termination phase: Property scanning
% 1.66/0.54 % (1424363)Time elapsed: 0.003 s
% 1.66/0.54 % (1424363)Peak memory usage: 10 MB
% 1.66/0.54 % (1424363)Instructions burned: 6 (million)
% 1.66/0.54 % (1424366)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3342777026:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.66/0.54 % (1424366)Refutation not found, incomplete strategy
% 1.66/0.54 % (1424366)------------------------------
% 1.66/0.54 % (1424366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424366)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424366)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.54 % (1424366)Time elapsed: 0.006 s
% 1.66/0.54 % (1424366)Peak memory usage: 12 MB
% 1.66/0.54 % (1424366)Instructions burned: 11 (million)
% 1.66/0.54 % (1424369) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1424282-1424369"...
% 1.66/0.54 % (1424366)------------------------------
% 1.66/0.54 % (1424366)------------------------------
% 1.66/0.54 % (1424369)...printing done.
% 1.66/0.54 % (1424369)Refutation found. Thanks to Tanya!
% 1.66/0.54 % SZS status Theorem for theBenchmark
% 1.66/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.54 % (1424369)------------------------------
% 1.66/0.54 % (1424369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.54 % (1424369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.54 % (1424369)CaDiCaL version: 2.1.3
% 1.66/0.54 % (1424369)Termination reason: Refutation
% 1.66/0.54 % (1424369)Time elapsed: 0.027 s
% 1.66/0.54 % (1424369)Peak memory usage: 13 MB
% 1.66/0.54 % (1424369)Instructions burned: 90 (million)
% 1.66/0.54 % (1424282)Success in time 0.288 s
% 1.66/0.54 % Vampire exiting
%------------------------------------------------------------------------------