%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO395^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:47:35 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 43 unt; 0 typ; 5 def)
% Number of atoms : 907 ( 154 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 1214 ( 259 ~; 242 |; 0 &; 656 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 57 usr; 11 con; 0-4 aty)
% ( 52 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 227 ( 0 sgn 29 !; 0 ?; 227 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
rel_k: $i > $i > $o ).
thf(func_def_33,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf(func_def_34,type,
mdia_k: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
p: $i > $o ).
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,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_42,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_44,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
vAND: $o > $o > $o ).
thf(func_def_47,type,
vIMP: $o > $o > $o ).
thf(func_def_48,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
vOR: $o > $o > $o ).
thf(func_def_50,type,
db4:
!>[X0: $tType] : X0 ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f5,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mand @ ( mimplies @ X0 @ X1 ) @ ( mimplies @ X1 @ X0 ) ) )
= mequiv ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mequiv) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_k @ X1 @ X2 ) ) )
= mbox_k ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^1.ax',mbox_k) ).
thf(f34,conjecture,
mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(f35,negated_conjecture,
~ ( mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
thf(f36,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f37,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f38,plain,
~ ( mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ) ),
inference(rectify,[],[f35]) ).
thf(f39,plain,
( ( mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ) )
!= $true ),
inference(fool_elimination,[],[f38]) ).
thf(f44,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f56,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f62,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f63,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f62]) ).
thf(f67,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f72,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f73,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f88,plain,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_k @ X1 @ X2 ) ) )
= mbox_k ),
inference(rectify,[],[f32]) ).
thf(f89,plain,
( mbox_k
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_k @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f88]) ).
thf(f92,plain,
( ( mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ) )
!= $true ),
inference(flattening,[],[f39]) ).
thf(f93,plain,
( ( mvalid @ ( mequiv @ ( mbox_k @ ( mimplies @ ( mnot @ p ) @ p ) ) @ ( mbox_k @ p ) ) )
!= $true ),
inference(cnf_transformation,[],[f92]) ).
thf(f95,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f96,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f100,plain,
( mbox_k
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_k @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f101,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f103,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f110,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f125,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f129,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f103,f96,f125,f96,f96]) ).
thf(f130,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f101,f125,f96]) ).
thf(f132,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y1
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f95,f129,f130,f130]) ).
thf(f139,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y1
@ Y0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_k @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 )
@ p )
@ p ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_k @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ p ) ) ) ),
inference(definition_unfolding,[],[f93,f110,f132,f100,f130,f96,f100]) ).
thf(f140,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 )
| ~ ~ ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 ) ) ) )
| ~ ( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 )
| ~ ~ ( p @ Y1 ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
( $false
= ( ^ [Y0: $i] :
~ ( ~ ( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 )
| ~ ~ ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 ) ) ) )
| ~ ( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_k @ Y0 @ Y1 )
| ( p @ Y1 )
| ~ ~ ( p @ Y1 ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f140]) ).
thf(f142,plain,
( $false
= ( ~ ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) )
| ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f141]) ).
thf(f143,plain,
( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) )
| ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f142]) ).
thf(f144,plain,
( ( ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) ) )
= $true )
| ( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f143]) ).
thf(f145,plain,
( ( $true
= ( ~ ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) )
= $false )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) ) )
= $false )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f146]) ).
thf(f148,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f146]) ).
thf(f149,plain,
( ( $false
= ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) )
@ sK1 ) )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f148]) ).
thf(f151,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) )
@ sK1 ) ) ),
inference(or_proxy_clausification,[],[f149]) ).
thf(f152,plain,
( ( $false
= ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) )
@ sK1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) )
@ sK2 ) ) ),
inference(sigma_proxy_clausification,[],[f151]) ).
thf(f153,plain,
( ( ( ~ ( rel_k @ sK0 @ sK1 )
| ( p @ sK1 )
| ~ ~ ( p @ sK1 ) )
= $false )
| ( ( ~ ( rel_k @ sK0 @ sK2 )
| ( p @ sK2 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f154,plain,
( ( ( ~ ( rel_k @ sK0 @ sK2 )
| ( p @ sK2 ) )
= $false )
| ( $false
= ( ( p @ sK1 )
| ~ ~ ( p @ sK1 ) ) ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f155,plain,
( ( ( ~ ( rel_k @ sK0 @ sK2 )
| ( p @ sK2 ) )
= $false )
| ( $false
= ( ~ ( rel_k @ sK0 @ sK1 ) ) ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f156,plain,
( ( $false
= ( ~ ( rel_k @ sK0 @ sK1 ) ) )
| ( $false
= ( p @ sK2 ) ) ),
inference(or_proxy_clausification,[],[f155]) ).
thf(f157,plain,
( ( $false
= ( ~ ( rel_k @ sK0 @ sK1 ) ) )
| ( $false
= ( ~ ( rel_k @ sK0 @ sK2 ) ) ) ),
inference(or_proxy_clausification,[],[f155]) ).
thf(f158,plain,
( ( $false
= ( ~ ( rel_k @ sK0 @ sK2 ) ) )
| ( $true
= ( rel_k @ sK0 @ sK1 ) ) ),
inference(not_proxy_clausification,[],[f157]) ).
thf(f159,plain,
( ( $true
= ( rel_k @ sK0 @ sK2 ) )
| ( $true
= ( rel_k @ sK0 @ sK1 ) ) ),
inference(not_proxy_clausification,[],[f158]) ).
thf(f160,plain,
( ( $false
= ( p @ sK2 ) )
| ( $true
= ( rel_k @ sK0 @ sK1 ) ) ),
inference(not_proxy_clausification,[],[f156]) ).
thf(f161,plain,
( ( $false
= ( ( p @ sK1 )
| ~ ~ ( p @ sK1 ) ) )
| ( $false
= ( p @ sK2 ) ) ),
inference(or_proxy_clausification,[],[f154]) ).
thf(f162,plain,
( ( $false
= ( ~ ( rel_k @ sK0 @ sK2 ) ) )
| ( $false
= ( ( p @ sK1 )
| ~ ~ ( p @ sK1 ) ) ) ),
inference(or_proxy_clausification,[],[f154]) ).
thf(f163,plain,
( ( $true
= ( rel_k @ sK0 @ sK2 ) )
| ( $false
= ( ( p @ sK1 )
| ~ ~ ( p @ sK1 ) ) ) ),
inference(not_proxy_clausification,[],[f162]) ).
thf(f164,plain,
( ( ( ~ ~ ( p @ sK1 ) )
= $false )
| ( $true
= ( rel_k @ sK0 @ sK2 ) ) ),
inference(or_proxy_clausification,[],[f163]) ).
thf(f166,plain,
( ( $true
= ( rel_k @ sK0 @ sK2 ) )
| ( ( ~ ( p @ sK1 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f164]) ).
thf(f167,plain,
( ( ( p @ sK1 )
= $false )
| ( $true
= ( rel_k @ sK0 @ sK2 ) ) ),
inference(not_proxy_clausification,[],[f166]) ).
thf(f168,plain,
( ( ( ~ ~ ( p @ sK1 ) )
= $false )
| ( $false
= ( p @ sK2 ) ) ),
inference(or_proxy_clausification,[],[f161]) ).
thf(f170,plain,
( ( ( ~ ( p @ sK1 ) )
= $true )
| ( $false
= ( p @ sK2 ) ) ),
inference(not_proxy_clausification,[],[f168]) ).
thf(f171,plain,
( ( $false
= ( p @ sK2 ) )
| ( ( p @ sK1 )
= $false ) ),
inference(not_proxy_clausification,[],[f170]) ).
thf(f195,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
= $true )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f147]) ).
thf(f196,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f195]) ).
thf(f197,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f196]) ).
thf(f208,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) )
@ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f197]) ).
thf(f209,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 ) )
@ X1 )
= $true )
| ( ( ^ [Y0: $i] :
( ~ ( rel_k @ sK0 @ Y0 )
| ( p @ Y0 )
| ~ ~ ( p @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( rel_k @ sK0 @ X1 )
| ( p @ X1 ) )
= $true )
| ( ( ~ ( rel_k @ sK0 @ X2 )
| ( p @ X2 )
| ~ ~ ( p @ X2 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f209]) ).
thf(f211,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( rel_k @ sK0 @ X2 )
| ( p @ X2 )
| ~ ~ ( p @ X2 ) )
= $true )
| ( ( p @ X1 )
= $true )
| ( $true
= ( ~ ( rel_k @ sK0 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X2: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( ( ( p @ X2 )
| ~ ~ ( p @ X2 ) )
= $true )
| ( ( ~ ( rel_k @ sK0 @ X2 ) )
= $true )
| ( $true
= ( ~ ( rel_k @ sK0 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f211]) ).
thf(f213,plain,
! [X2: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( $true
= ( ~ ( rel_k @ sK0 @ X1 ) ) )
| ( ( ~ ~ ( p @ X2 ) )
= $true )
| ( ( ~ ( rel_k @ sK0 @ X2 ) )
= $true )
| ( $true
= ( p @ X2 ) ) ),
inference(or_proxy_clausification,[],[f212]) ).
thf(f214,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ~ ( p @ X2 ) )
= $true )
| ( ( p @ X1 )
= $true )
| ( ( ~ ( rel_k @ sK0 @ X2 ) )
= $true )
| ( ( rel_k @ sK0 @ X1 )
= $false )
| ( $true
= ( p @ X2 ) ) ),
inference(not_proxy_clausification,[],[f213]) ).
thf(f215,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ~ ( p @ X2 ) ) )
| ( ( ~ ( rel_k @ sK0 @ X2 ) )
= $true )
| ( ( p @ X1 )
= $true )
| ( ( rel_k @ sK0 @ X1 )
= $false )
| ( $true
= ( p @ X2 ) ) ),
inference(not_proxy_clausification,[],[f214]) ).
thf(f216,plain,
! [X2: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( $true
= ( p @ X2 ) )
| ( ( ~ ( rel_k @ sK0 @ X2 ) )
= $true )
| ( ( rel_k @ sK0 @ X1 )
= $false )
| ( $true
= ( p @ X2 ) ) ),
inference(not_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X2: $i,X1: $i] :
( ( ( p @ X1 )
= $true )
| ( $true
= ( p @ X2 ) )
| ( $false
= ( rel_k @ sK0 @ X2 ) )
| ( ( rel_k @ sK0 @ X1 )
= $false )
| ( $true
= ( p @ X2 ) ) ),
inference(not_proxy_clausification,[],[f216]) ).
thf(f218,plain,
! [X2: $i,X1: $i] :
( ( ( rel_k @ sK0 @ X1 )
= $false )
| ( $false
= ( rel_k @ sK0 @ X2 ) )
| ( ( p @ X1 )
= $true )
| ( $true
= ( p @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f217]) ).
thf(f220,definition,
( spl4_1
<=> ( $true
= ( rel_k @ sK0 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f222,plain,
( ( $true
= ( rel_k @ sK0 @ sK2 ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f224,definition,
( spl4_2
<=> ( $true
= ( rel_k @ sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f226,plain,
( ( $true
= ( rel_k @ sK0 @ sK1 ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f227,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f159,f224,f220]) ).
thf(f229,definition,
( spl4_3
<=> ( $false
= ( p @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f231,plain,
( ( $false
= ( p @ sK2 ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f229]) ).
thf(f232,plain,
( spl4_3
| spl4_2 ),
inference(avatar_split_clause,[],[f160,f224,f229]) ).
thf(f234,definition,
( spl4_4
<=> ( ( p @ sK1 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f236,plain,
( ( ( p @ sK1 )
= $false )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f238,plain,
( spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f167,f234,f220]) ).
thf(f240,plain,
( spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f171,f229,f234]) ).
thf(f242,definition,
( spl4_5
<=> ! [X1: $i] :
( ( ( rel_k @ sK0 @ X1 )
= $false )
| ( ( p @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f243,plain,
( ! [X1: $i] :
( ( ( rel_k @ sK0 @ X1 )
= $false )
| ( ( p @ X1 )
= $true ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f242]) ).
thf(f257,plain,
( spl4_5
| spl4_5 ),
inference(avatar_split_clause,[],[f218,f242,f242]) ).
thf(f258,plain,
( ( $false = $true )
| ( ( p @ sK1 )
= $true )
| ~ spl4_2
| ~ spl4_5 ),
inference(constrained_superposition,[],[f226,f243]) ).
thf(f261,plain,
( ( ( p @ sK1 )
= $true )
| ~ spl4_2
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f265,plain,
( ( $false = $true )
| ~ spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(forward_demodulation,[],[f261,f236]) ).
thf(f266,plain,
( $false
| ~ spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f267,plain,
( ~ spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f266]) ).
thf(f269,plain,
( ( $false = $true )
| ( $true
= ( p @ sK2 ) )
| ~ spl4_1
| ~ spl4_5 ),
inference(constrained_superposition,[],[f222,f243]) ).
thf(f272,plain,
( ( $true
= ( p @ sK2 ) )
| ~ spl4_1
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f276,plain,
( ( $false = $true )
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(forward_demodulation,[],[f272,f231]) ).
thf(f277,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f276]) ).
thf(f278,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f277]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f227]) ).
cnf(s2,plain,
( spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f232]) ).
cnf(s4,plain,
( spl4_1
| spl4_4 ),
inference(sat_conversion,[],[f238]) ).
cnf(s6,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f240]) ).
cnf(s12,plain,
( spl4_5
| spl4_5 ),
inference(sat_conversion,[],[f257]) ).
cnf(s13,plain,
spl4_5,
inference(rat,[],[s12]) ).
cnf(s15,plain,
( ~ spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s17,plain,
( ~ spl4_1
| ~ spl4_3
| ~ spl4_5 ),
inference(sat_conversion,[],[f278]) ).
cnf(s18,plain,
spl4_1,
inference(rat,[],[s15,s1,s4,s13]) ).
cnf(s19,plain,
~ spl4_3,
inference(rat,[],[s17,s13,s18]) ).
cnf(s20,plain,
spl4_4,
inference(rat,[],[s6,s19]) ).
cnf(s21,plain,
spl4_2,
inference(rat,[],[s2,s19]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s15,s13,s20,s21]) ).
thf(f279,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO395^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.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 16:51:20 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.28 % (1301458)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (1301473)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=3260602990:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.28 % (1301476)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (1301476)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.28 % (1301470)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1524512488:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (1301471)lrs+10_16_si=on:nwc=1.5:random_seed=2694198018:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.28 % (1301472)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3368921712:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.28 % (1301475)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1094151187:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.28 % (1301474)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2118865815:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (1301476)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=4280900026:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.28 % (1301472)Instruction limit reached!
% 0.21/0.28 % (1301472)------------------------------
% 0.21/0.28 % (1301472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (1301472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (1301472)CaDiCaL version: 2.1.3
% 0.21/0.28 % (1301472)Termination reason: Instruction limit
% 0.21/0.28 % (1301472)Termination phase: Naming
% 0.21/0.28 % (1301472)Time elapsed: 0.002 s
% 0.21/0.28 % (1301472)Peak memory usage: 10 MB
% 0.21/0.28 % (1301472)Instructions burned: 4 (million)
% 0.21/0.28 % (1301470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1301458-1301470"...
% 0.21/0.28 % (1301471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1301458-1301471"...
% 0.21/0.28 % (1301475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1301458-1301475"...
% 0.21/0.28 % (1301476) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1301458-1301476"...
% 0.21/0.28 % (1301470)...printing done.
% 0.21/0.28 % (1301471)...printing done.
% 0.21/0.28 % (1301475)...printing done.
% 0.21/0.28 % (1301470)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (1301470)------------------------------
% 0.21/0.28 % (1301470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (1301470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (1301470)CaDiCaL version: 2.1.3
% 0.21/0.28 % (1301470)Termination reason: Refutation
% 0.21/0.28 % (1301470)Time elapsed: 0.011 s
% 0.21/0.28 % (1301470)Peak memory usage: 13 MB
% 0.21/0.28 % (1301470)Instructions burned: 19 (million)
% 0.21/0.28 % (1301458)Success in time 0.037 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------