%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV436^4 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 08:40:07 AM UTC 2026
% Result : Theorem 1.06s 0.44s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 17
% Syntax : Number of formulae : 152 ( 90 unt; 0 typ; 0 def)
% Number of atoms : 1251 ( 294 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 1619 ( 56 ~; 223 |; 0 &;1129 @)
% ( 0 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 183 ( 183 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 48 usr; 5 con; 0-4 aty)
% ( 98 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 501 ( 315 ^; 186 !; 0 ?; 501 :)
% 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_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vOR: $o > $o > $o ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_43,type,
vIMP: $o > $o > $o ).
thf(func_def_44,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_48,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_49,type,
sK3: $i > ( $i > $o ) > $i ).
thf(func_def_50,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f1,axiom,
( mfalse
= ( ^ [X0: $i] : $false ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mfalse) ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( icl_atom
= ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( icl_princ
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(f20,axiom,
( icl_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f22,axiom,
icl_false = mfalse,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_false) ).
thf(f23,axiom,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',refl_axiom) ).
thf(f27,axiom,
iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f28,axiom,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f29,axiom,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(f30,conjecture,
iclval @ ( icl_atom @ deletefile1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ex3) ).
thf(f31,negated_conjecture,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f32,plain,
( mfalse
= ( ^ [Y0: $i] : $false ) ),
inference(fool_elimination,[],[f1]) ).
thf(f34,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f35,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f36,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f37,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f40,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f42,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f43,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f50,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f51,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f50]) ).
thf(f58,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f59,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f62,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f63,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f64,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f65,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f66,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f69,plain,
iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f27]) ).
thf(f70,plain,
( ( iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(fool_elimination,[],[f69]) ).
thf(f71,plain,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f72,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f71]) ).
thf(f73,plain,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f29]) ).
thf(f74,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(fool_elimination,[],[f73]) ).
thf(f75,plain,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(rectify,[],[f31]) ).
thf(f76,plain,
( ( iclval @ ( icl_atom @ deletefile1 ) )
!= $true ),
inference(fool_elimination,[],[f75]) ).
thf(f77,plain,
( ( iclval @ ( icl_atom @ deletefile1 ) )
!= $true ),
inference(flattening,[],[f76]) ).
thf(f78,plain,
( mfalse
= ( ^ [Y0: $i] : $false ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f80,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f81,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f83,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f85,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f89,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f93,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f94,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f97,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f99,plain,
mfalse = icl_false,
inference(cnf_transformation,[],[f22]) ).
thf(f100,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f101,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f102,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f104,plain,
( ( iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(cnf_transformation,[],[f70]) ).
thf(f105,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f72]) ).
thf(f106,plain,
( ( iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) )
= $true ),
inference(cnf_transformation,[],[f74]) ).
thf(f107,plain,
( ( iclval @ ( icl_atom @ deletefile1 ) )
!= $true ),
inference(cnf_transformation,[],[f77]) ).
thf(f110,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,[],[f83,f81,f80]) ).
thf(f112,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,[],[f93,f85]) ).
thf(f115,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,[],[f97,f85,f110]) ).
thf(f117,plain,
( icl_false
= ( ^ [Y0: $i] : $false ) ),
inference(definition_unfolding,[],[f99,f78]) ).
thf(f118,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,[],[f100,f85,f81]) ).
thf(f119,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f101,f89]) ).
thf(f120,plain,
! [X0: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [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 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 )
@ X0 ) ) ),
inference(definition_unfolding,[],[f102,f89,f110,f85]) ).
thf(f122,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,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] : Y0
@ admin )
@ ^ [Y0: $i] : $false )
@ ( ^ [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,[],[f104,f119,f118,f115,f94,f117,f112]) ).
thf(f123,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
@ 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] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ 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 > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ bob )
@ ( ^ [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 ) ) ) ) ),
inference(definition_unfolding,[],[f105,f119,f118,f94,f118,f115,f94,f94,f112]) ).
thf(f124,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,[],[f106,f119,f118,f94,f112]) ).
thf(f125,plain,
( $true
!= ( ^ [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 ) ) ),
inference(definition_unfolding,[],[f107,f119,f112]) ).
thf(f126,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f126]) ).
thf(f128,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f127]) ).
thf(f129,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f128]) ).
thf(f130,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( deletefile1 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f129]) ).
thf(f131,plain,
( $false
= ( deletefile1 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f130]) ).
thf(f133,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f134,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( bob @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f133]) ).
thf(f135,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( bob @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f134]) ).
thf(f136,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( bob @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( rel @ X1 @ X2 )
=> ( ( bob @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f138,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( bob @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
| ( $true
= ( bob @ X2 ) ) ),
inference(or_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( bob @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( deletefile1 @ X3 ) ) )
| ( $true
= ( bob @ X2 ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f142,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( bob @ X2 ) )
| ( $true
= ( deletefile1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f143,plain,
( $true
= ( !! @ $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 )
| ( admin @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f123]) ).
thf(f144,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( admin @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( bob @ Y3 )
| ( admin @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( deletefile1 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( admin @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( bob @ Y2 )
| ( admin @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,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 )
| ( admin @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( rel @ X1 @ X2 )
=> ( ( admin @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( bob @ Y1 )
| ( admin @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( admin @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( bob @ Y1 )
| ( admin @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( bob @ Y1 )
| ( admin @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( admin @ X2 ) ) ),
inference(or_proxy_clausification,[],[f148]) ).
thf(f150,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( bob @ Y1 )
| ( admin @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ X3 ) )
| ( $true
= ( admin @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f149]) ).
thf(f151,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( ~ ( bob @ Y0 )
| ( admin @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) )
| ( $true
= ( admin @ X2 ) ) ),
inference(beta-eta_normalization,[],[f150]) ).
thf(f152,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( ~ ( bob @ Y0 )
| ( admin @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f151]) ).
thf(f153,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( ~ ( bob @ Y0 )
| ( admin @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f152]) ).
thf(f154,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ X4 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( ~ ( bob @ Y0 )
| ( admin @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ X4 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X3 @ Y0 )
=> ( ~ ( bob @ Y0 )
| ( admin @ Y0 ) ) )
@ X5 ) ) ),
inference(pi_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( ( rel @ X3 @ X4 )
=> ( deletefile1 @ X4 ) ) )
| ( $true
= ( ( rel @ X3 @ X5 )
=> ( ~ ( bob @ X5 )
| ( admin @ X5 ) ) ) ) ),
inference(beta-eta_normalization,[],[f155]) ).
thf(f157,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $true
= ( ( rel @ X3 @ X5 )
=> ( ~ ( bob @ X5 )
| ( admin @ X5 ) ) ) )
| ( $true
= ( deletefile1 @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f156]) ).
thf(f158,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X3 @ X5 ) )
| ( $true
= ( deletefile1 @ X4 ) )
| ( $true
= ( ~ ( bob @ X5 )
| ( admin @ X5 ) ) ) ),
inference(imp_proxy_clausification,[],[f157]) ).
thf(f159,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X3 @ X5 ) )
| ( $true
= ( deletefile1 @ X4 ) )
| ( $true
= ( admin @ X5 ) )
| ( $true
= ( ~ ( bob @ X5 ) ) ) ),
inference(or_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X3 @ X5 ) )
| ( $true
= ( deletefile1 @ X4 ) )
| ( $true
= ( admin @ X5 ) )
| ( $false
= ( bob @ X5 ) ) ),
inference(not_proxy_clausification,[],[f159]) ).
thf(f161,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( admin @ Y2 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f162,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( admin @ Y2 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( deletefile1 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f161]) ).
thf(f163,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( admin @ Y1 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f162]) ).
thf(f164,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( admin @ Y1 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( deletefile1 @ Y1 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f163]) ).
thf(f165,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( rel @ X1 @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( admin @ Y0 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f164]) ).
thf(f166,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( admin @ Y0 )
| $false ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f165]) ).
thf(f167,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( admin @ Y0 )
| $false ) ) ) ) ),
inference(or_proxy_clausification,[],[f166]) ).
thf(f168,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( admin @ Y0 )
| $false ) ) ) ) ),
inference(pi_proxy_clausification,[],[f167]) ).
thf(f169,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( deletefile1 @ Y0 ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( ~ ( admin @ Y0 )
| $false ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f168]) ).
thf(f170,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( deletefile1 @ X3 ) ) )
| ( $true
= ( ( rel @ X2 @ X4 )
=> ( ~ ( admin @ X4 )
| $false ) ) ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f171,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( ( rel @ X2 @ X4 )
=> ( ~ ( admin @ X4 )
| $false ) ) )
| ( $true
= ( deletefile1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f170]) ).
thf(f172,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X2 @ X4 ) )
| ( $true
= ( deletefile1 @ X3 ) )
| ( $true
= ( ~ ( admin @ X4 )
| $false ) ) ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f173,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X2 @ X4 ) )
| ( $true
= ( deletefile1 @ X3 ) )
| ( $false = $true )
| ( $true
= ( ~ ( admin @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f172]) ).
thf(f174,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X2 @ X4 ) )
| ( $true
= ( deletefile1 @ X3 ) )
| ( $false = $true )
| ( $false
= ( admin @ X4 ) ) ),
inference(not_proxy_clausification,[],[f173]) ).
thf(f175,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X2 @ X4 ) )
| ( $true
= ( deletefile1 @ X3 ) )
| ( $false
= ( admin @ X4 ) ) ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f193,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f120]) ).
thf(f194,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f193]) ).
thf(f195,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f194]) ).
thf(f196,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f195]) ).
thf(f197,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f196]) ).
thf(f198,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK3 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ( rel @ X1 @ ( sK3 @ X1 @ X0 ) )
=> ( X0 @ ( sK3 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK3 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( rel @ X1 @ ( sK3 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f199]) ).
thf(f202,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( admin @ X2 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X3 @ X5 ) )
| ( $true
= ( deletefile1 @ X4 ) )
| ( $false = $true )
| ( $false
= ( bob @ X5 ) ) ),
inference(backward_subsumption_demodulation,[],[f160,f175]) ).
thf(f203,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X3 @ X5 ) )
| ( $true
= ( admin @ X2 ) )
| ( $true
= ( deletefile1 @ X4 ) )
| ( $false
= ( bob @ X5 ) ) ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f213,plain,
! [X0: $i] :
( ( sK3 @ X0
@ ^ [Y0: $i] : ( Y0 != X0 ) )
= X0 ),
inference(leibniz_equality_elimination,[],[f200]) ).
thf(f319,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false != $false )
| ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( admin @ X0 ) )
| ( $true
= ( deletefile1 @ X2 ) )
| ( $false
= ( bob @ X0 ) ) ),
inference(equality_factoring,[],[f203]) ).
thf(f322,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( admin @ X0 ) )
| ( $true
= ( deletefile1 @ X2 ) )
| ( $false
= ( bob @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f319]) ).
thf(f341,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( admin @ X0 ) )
| ( $true
= ( deletefile1 @ X2 ) )
| ( $false = $true ) ),
inference(forward_subsumption_demodulation,[],[f322,f142]) ).
thf(f342,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( admin @ X0 ) )
| ( $true
= ( deletefile1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f361,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $false = $true )
| ( $true
= ( deletefile1 @ X2 ) ) ),
inference(forward_subsumption_demodulation,[],[f342,f175]) ).
thf(f362,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( deletefile1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f421,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X0 ) ) ),
inference(constrained_superposition,[],[f201,f213]) ).
thf(f430,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( $true
= ( X0 != X0 ) ) ),
inference(beta-eta_normalization,[],[f421]) ).
thf(f431,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( $false
= ( X0 = X0 ) ) ),
inference(not_proxy_clausification,[],[f430]) ).
thf(f432,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( X0 != X0 ) ),
inference(equality_proxy_clausification,[],[f431]) ).
thf(f433,plain,
! [X0: $i] :
( $true
= ( rel @ X0 @ X0 ) ),
inference(trivial_inequality_removal,[],[f432]) ).
thf(f434,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( deletefile1 @ X2 ) ) ),
inference(backward_demodulation,[],[f362,f433]) ).
thf(f445,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $true
= ( deletefile1 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f511,plain,
! [X0: $i] :
( ( $false != $false )
| ( $false
= ( rel @ X0 @ X0 ) )
| ( $true
= ( deletefile1 @ X0 ) ) ),
inference(equality_factoring,[],[f445]) ).
thf(f512,plain,
! [X0: $i] :
( ( $false
= ( rel @ X0 @ X0 ) )
| ( $true
= ( deletefile1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f522,plain,
! [X0: $i] :
( ( $false = $true )
| ( $true
= ( deletefile1 @ X0 ) ) ),
inference(forward_demodulation,[],[f512,f433]) ).
thf(f523,plain,
! [X0: $i] :
( $true
= ( deletefile1 @ X0 ) ),
inference(trivial_inequality_removal,[],[f522]) ).
thf(f526,plain,
$false = $true,
inference(backward_demodulation,[],[f131,f523]) ).
thf(f527,plain,
$false,
inference(trivial_inequality_removal,[],[f526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV436^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:01:56 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/0.44 % (3554676)Will run a generic schedule for satisfiability detection.
% 1.06/0.44 % (3554681)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=914250741_2999 on theBenchmark for (2999ds/0Mi)
% 1.06/0.44 % Exception at run slice level
% 1.06/0.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.06/0.44 % (3554683)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3685711552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.06/0.44 % (3554682)% WARNING: option uhcvi not known.
% 1.06/0.44 % (3554687)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=127958469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.06/0.44 % (3554682)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=978328369:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.06/0.44 % (3554684)dis+10_1_sil=32000:sp=arity:random_seed=3805544512:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.06/0.44 % (3554685)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4155367336:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.06/0.44 % (3554682)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.06/0.44 % (3554686)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3211254650:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.06/0.44 % (3554685)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.06/0.44 % (3554682)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.06/0.44 % (3554691)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3881321524:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.06/0.44 % Exception at run slice level
% 1.06/0.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.06/0.44 % (3554703)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2332816779:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.06/0.44 % (3554684)Instruction limit reached!
% 1.06/0.44 % (3554684)------------------------------
% 1.06/0.44 % (3554684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (3554684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (3554684)CaDiCaL version: 2.1.3
% 1.06/0.44 % (3554684)Termination reason: Instruction limit
% 1.06/0.44 % (3554684)Termination phase: Saturation
% 1.06/0.44 % (3554684)Time elapsed: 0.088 s
% 1.06/0.44 % (3554684)Peak memory usage: 12 MB
% 1.06/0.44 % (3554684)Instructions burned: 103 (million)
% 1.06/0.44 % (3554685)Instruction limit reached!
% 1.06/0.44 % (3554685)------------------------------
% 1.06/0.44 % (3554685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (3554685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (3554685)CaDiCaL version: 2.1.3
% 1.06/0.44 % (3554685)Termination reason: Instruction limit
% 1.06/0.44 % (3554685)Termination phase: Saturation
% 1.06/0.44 % (3554685)Time elapsed: 0.098 s
% 1.06/0.44 % (3554685)Peak memory usage: 12 MB
% 1.06/0.44 % (3554685)Instructions burned: 117 (million)
% 1.06/0.44 % (3554686)Instruction limit reached!
% 1.06/0.44 % (3554686)------------------------------
% 1.06/0.44 % (3554686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (3554686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (3554686)CaDiCaL version: 2.1.3
% 1.06/0.44 % (3554686)Termination reason: Instruction limit
% 1.06/0.44 % (3554686)Termination phase: Saturation
% 1.06/0.44 % (3554686)Time elapsed: 0.111 s
% 1.06/0.44 % (3554686)Peak memory usage: 12 MB
% 1.06/0.44 % (3554686)Instructions burned: 132 (million)
% 1.06/0.44 % (3554705)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3935521594:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.06/0.44 % (3554705)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.06/0.44 % (3554703) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3554676-3554703"...
% 1.06/0.44 % (3554705)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.06/0.44 % (3554706)ott-21_1_sil=16000:fs=off:random_seed=898910607:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.06/0.44 % (3554687)Instruction limit reached!
% 1.06/0.44 % (3554687)------------------------------
% 1.06/0.44 % (3554687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.44 % (3554687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.44 % (3554687)CaDiCaL version: 2.1.3
% 1.06/0.44 % (3554687)Termination reason: Instruction limit
% 1.06/0.44 % (3554687)Termination phase: Saturation
% 1.06/0.44 % (3554687)Time elapsed: 0.140 s
% 1.06/0.44 % (3554687)Peak memory usage: 13 MB
% 1.06/0.44 % (3554687)Instructions burned: 159 (million)
% 1.06/0.44 % (3554703)...printing done.
% 1.06/0.44 % (3554703)Refutation found. Thanks to Tanya!
% 1.06/0.44 % SZS status Theorem for theBenchmark
% 1.06/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.45 % (3554703)------------------------------
% 1.06/0.45 % (3554703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.45 % (3554703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.45 % (3554703)CaDiCaL version: 2.1.3
% 1.06/0.45 % (3554703)Termination reason: Refutation
% 1.06/0.45 % (3554703)Time elapsed: 0.081 s
% 1.06/0.45 % (3554703)Peak memory usage: 12 MB
% 1.06/0.45 % (3554703)Instructions burned: 88 (million)
% 1.06/0.45 % (3554676)Success in time 0.2 s
% 1.06/0.45 % Vampire exiting
%------------------------------------------------------------------------------