%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV427^2 : 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 08:39:56 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of formulae : 105 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 844 ( 160 equ; 0 cnn)
% Maximal formula atoms : 15 ( 8 avg)
% Number of connectives : 1125 ( 26 ~; 118 |; 0 &; 810 @)
% ( 0 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 150 ( 150 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 49 usr; 7 con; 0-4 aty)
% ( 81 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 302 ( 246 ^; 56 !; 0 ?; 302 :)
% 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,
s: $i > $o ).
thf(func_def_31,type,
a: $i > $o ).
thf(func_def_34,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(func_def_39,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_40,type,
vAND: $o > $o > $o ).
thf(func_def_41,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vOR: $o > $o > $o ).
thf(func_def_44,type,
vIMP: $o > $o > $o ).
thf(func_def_45,type,
sK0: $i > ( $i > $o ) > $i ).
thf(func_def_46,type,
sK1: $i > ( $i > $o ) > $i ).
thf(func_def_52,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
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,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( icl_atom
= ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) ) ),
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,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
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,conjecture,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idem) ).
thf(f28,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
thf(f29,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f30,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f29]) ).
thf(f31,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f33,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f34,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f35,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f36,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f37,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f45,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f46,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f49,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f50,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f49]) ).
thf(f53,plain,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f54,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(fool_elimination,[],[f53]) ).
thf(f57,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f8]) ).
thf(f58,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f62,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f67,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f68,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(flattening,[],[f54]) ).
thf(f71,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f72,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f73,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f76,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f80,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f83,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f84,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f86,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f87,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f91,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f94,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f30]) ).
thf(f95,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f98,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,[],[f91,f87,f83]) ).
thf(f100,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,[],[f86,f95]) ).
thf(f103,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,[],[f80,f95,f98]) ).
thf(f106,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,[],[f71,f95,f87]) ).
thf(f107,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f76,f72]) ).
thf(f108,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 > $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
@ a )
@ ( ^ [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
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) ) )
@ ( ^ [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
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) ) ) ) ),
inference(definition_unfolding,[],[f73,f107,f103,f106,f84,f106,f84,f100,f106,f84,f100]) ).
thf(f110,plain,
! [X0: $i > $o] :
( ( ^ [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 ) )
= $true ),
inference(definition_unfolding,[],[f94,f72,f98,f95]) ).
thf(f111,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f112,plain,
! [X0: $i > $o,X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f111]) ).
thf(f113,plain,
! [X0: $i > $o,X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f112]) ).
thf(f114,plain,
! [X0: $i > $o,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true )
| ( ( X0 @ X1 )
= $true ) ),
inference(or_proxy_clausification,[],[f113]) ).
thf(f115,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f114]) ).
thf(f116,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK0 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( ( rel @ X1 @ ( sK0 @ X1 @ X0 ) )
=> ( X0 @ ( sK0 @ X1 @ X0 ) ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
! [X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK0 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f117]) ).
thf(f119,plain,
! [X0: $i > $o,X1: $i] :
( ( ( rel @ X1 @ ( sK0 @ X1 @ X0 ) )
= $true )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f117]) ).
thf(f136,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( a @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f108]) ).
thf(f137,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( a @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f136]) ).
thf(f138,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f138]) ).
thf(f140,plain,
( $false
= ( ( rel @ sK2 @ sK3 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f140]) ).
thf(f143,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f141]) ).
thf(f144,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f141]) ).
thf(f145,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f144]) ).
thf(f146,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X1: $i] :
( ( ( rel @ sK3 @ X1 )
=> ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
! [X1: $i] :
( ( $true
= ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) )
| ( $false
= ( rel @ sK3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X1: $i] :
( ( $true
= ( a @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
= $true )
| ( $false
= ( rel @ sK3 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f148]) ).
thf(f150,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ X2 )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ sK3 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f149]) ).
thf(f151,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK3 @ X1 ) )
| ( $true
= ( a @ X1 ) )
| ( ( ( rel @ X1 @ X2 )
=> ( ( a @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f150]) ).
thf(f152,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK3 @ X1 ) )
| ( $true
= ( a @ X1 ) )
| ( ( ( a @ X2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f151]) ).
thf(f153,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) )
= $true )
| ( $true
= ( a @ X1 ) )
| ( ( a @ X2 )
= $true )
| ( $false
= ( rel @ sK3 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(or_proxy_clausification,[],[f152]) ).
thf(f154,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( ( a @ X2 )
= $true )
| ( $true
= ( a @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( rel @ sK3 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( rel @ X2 @ X3 )
=> ( s @ X3 ) )
= $true )
| ( $false
= ( rel @ sK3 @ X1 ) )
| ( $true
= ( a @ X1 ) )
| ( ( a @ X2 )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f154]) ).
thf(f156,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK3 @ X1 ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( s @ X3 )
= $true )
| ( ( a @ X2 )
= $true )
| ( $true
= ( a @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f155]) ).
thf(f157,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f143]) ).
thf(f158,plain,
( $false
= ( ( rel @ sK3 @ sK4 )
=> ( ( a @ sK4 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f157]) ).
thf(f159,plain,
( $false
= ( ( a @ sK4 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( s @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f158]) ).
thf(f160,plain,
( ( rel @ sK3 @ sK4 )
= $true ),
inference(imp_proxy_clausification,[],[f158]) ).
thf(f161,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( s @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f159]) ).
thf(f162,plain,
( $false
= ( a @ sK4 ) ),
inference(or_proxy_clausification,[],[f159]) ).
thf(f163,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( s @ Y0 ) )
@ sK5 ) ),
inference(sigma_proxy_clausification,[],[f161]) ).
thf(f164,plain,
( $false
= ( ( rel @ sK4 @ sK5 )
=> ( s @ sK5 ) ) ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f165,plain,
( $false
= ( s @ sK5 ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f166,plain,
( ( rel @ sK4 @ sK5 )
= $true ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f170,plain,
! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK4 ) )
| ( ( a @ sK4 )
= $true )
| ( $false = $true )
| ( ( a @ X0 )
= $true )
| ( ( s @ sK5 )
= $true )
| ( $false
= ( rel @ sK3 @ X0 ) ) ),
inference(constrained_superposition,[],[f166,f156]) ).
thf(f177,plain,
! [X0: $i] :
( ( ( s @ sK5 )
= $true )
| ( $false
= ( rel @ sK3 @ X0 ) )
| ( $false
= ( rel @ X0 @ sK4 ) )
| ( ( a @ sK4 )
= $true )
| ( ( a @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f191,plain,
! [X0: $i] :
( ( ( a @ X0 )
= $true )
| ( $false
= ( rel @ X0 @ sK4 ) )
| ( $false = $true )
| ( ( a @ sK4 )
= $true )
| ( $false
= ( rel @ sK3 @ X0 ) ) ),
inference(forward_demodulation,[],[f177,f165]) ).
thf(f192,plain,
! [X0: $i] :
( ( ( a @ sK4 )
= $true )
| ( ( a @ X0 )
= $true )
| ( $false
= ( rel @ sK3 @ X0 ) )
| ( $false
= ( rel @ X0 @ sK4 ) ) ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f222,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ X0 @ sK4 ) )
| ( $false
= ( rel @ sK3 @ X0 ) )
| ( ( a @ X0 )
= $true ) ),
inference(forward_demodulation,[],[f192,f162]) ).
thf(f223,plain,
! [X0: $i] :
( ( $false
= ( rel @ sK3 @ X0 ) )
| ( $false
= ( rel @ X0 @ sK4 ) )
| ( ( a @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f222]) ).
thf(f260,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( $true
= ( rel @ X0 @ X0 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f119,f118]) ).
thf(f269,plain,
! [X0: $i] :
( ( $true
= ( rel @ X0 @ X0 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f260]) ).
thf(f270,plain,
! [X0: $i] :
( $true
= ( rel @ X0 @ X0 ) ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f362,plain,
( ( $false = $true )
| ( ( a @ sK4 )
= $true )
| ( $false
= ( rel @ sK3 @ sK4 ) ) ),
inference(constrained_superposition,[],[f223,f270]) ).
thf(f372,plain,
( ( $false
= ( rel @ sK3 @ sK4 ) )
| ( ( a @ sK4 )
= $true ) ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f395,plain,
( ( ( a @ sK4 )
= $true )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f372,f160]) ).
thf(f396,plain,
( ( a @ sK4 )
= $true ),
inference(trivial_inequality_removal,[],[f395]) ).
thf(f399,plain,
$false = $true,
inference(forward_demodulation,[],[f396,f162]) ).
thf(f400,plain,
$false,
inference(trivial_inequality_removal,[],[f399]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV427^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:07:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28 % (1423828)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.28 % (1423833)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=106760606:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.28 % (1423834)lrs+10_16_si=on:nwc=1.5:random_seed=3987613624:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.28 % (1423835)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3119972795:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.28 % (1423836)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=1379734823: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)
% 0.20/0.28 % (1423833) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1423828-1423833"...
% 0.20/0.28 % (1423835)Instruction limit reached!
% 0.20/0.28 % (1423835)------------------------------
% 0.20/0.28 % (1423835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (1423835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (1423835)CaDiCaL version: 2.1.3
% 0.20/0.28 % (1423835)Termination reason: Instruction limit
% 0.20/0.28 % (1423835)Termination phase: Saturation
% 0.20/0.28 % (1423835)Time elapsed: 0.002 s
% 0.20/0.28 % (1423835)Peak memory usage: 10 MB
% 0.20/0.28 % (1423835)Instructions burned: 4 (million)
% 0.20/0.28 % (1423833)...printing done.
% 0.20/0.28 % (1423837)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1617262715:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.28 % (1423833)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1423833)------------------------------
% 0.20/0.29 % (1423833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1423833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1423833)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1423833)Termination reason: Refutation
% 0.20/0.29 % (1423833)Time elapsed: 0.010 s
% 0.20/0.29 % (1423833)Peak memory usage: 12 MB
% 0.20/0.29 % (1423833)Instructions burned: 35 (million)
% 0.20/0.29 % (1423828)Success in time 0.045 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------