%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET583^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 08:23:38 AM UTC 2026
% Result : Theorem 0.34s 0.49s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 9
% Syntax : Number of formulae : 87 ( 62 unt; 0 typ; 0 def)
% Number of atoms : 672 ( 129 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 1340 ( 209 ~; 141 |; 0 &; 926 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 121 ( 121 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 56 usr; 6 con; 0-4 aty)
% ( 30 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 269 ( 221 ^; 48 !; 0 ?; 269 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
qmltpeq: 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,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_7,type,
mtrue: $i > $o ).
thf(func_def_8,type,
mfalse: $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
exists_in_world: mu > $i > $o ).
thf(func_def_16,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_17,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_18,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_19,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_29,type,
mvalid: ( $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,
minvalid: ( $i > $o ) > $o ).
thf(func_def_33,type,
rel_s4: $i > $i > $o ).
thf(func_def_34,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf(func_def_36,type,
member: mu > mu > $i > $o ).
thf(func_def_37,type,
subset: mu > mu > $i > $o ).
thf(func_def_38,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_42,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_43,type,
vNOT: $o > $o ).
thf(func_def_44,type,
vOR: $o > $o > $o ).
thf(func_def_45,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
vIMP: $o > $o > $o ).
thf(func_def_50,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,type,
vAND: $o > $o > $o ).
thf(func_def_52,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_53,type,
sK0: $i > mu ).
thf(func_def_55,type,
sK2: mu ).
thf(func_def_56,type,
sK3: mu ).
thf(func_def_57,type,
sK4: mu > $i > mu > mu ).
thf(f2,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f8,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(f9,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(f11,axiom,
( mequiv
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mand @ ( mimplies @ X0 @ X1 ) @ ( mimplies @ X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mequiv) ).
thf(f15,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mforall_ind) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).
thf(f44,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mequiv @ ( qmltpeq @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
thf(f47,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( qmltpeq @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_extensionality) ).
thf(f48,negated_conjecture,
~ ( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( qmltpeq @ X0 @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
thf(f50,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f51,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f50]) ).
thf(f52,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f53,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f59,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f60,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f62,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f67,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f68,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f67]) ).
thf(f93,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f94,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f93]) ).
thf(f124,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mequiv @ ( qmltpeq @ X0 @ X1 ) @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) ) ) ) ),
inference(rectify,[],[f44]) ).
thf(f125,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mequiv @ ( qmltpeq @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f130,plain,
~ ( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X0 ) ) @ ( qmltpeq @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f48]) ).
thf(f131,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f130]) ).
thf(f132,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ),
inference(flattening,[],[f131]) ).
thf(f137,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f138,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f143,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f144,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f146,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f150,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f163,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f179,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mequiv @ ( qmltpeq @ Y0 @ Y1 ) @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f182,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y0 ) ) @ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f132]) ).
thf(f186,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f143,f137,f138,f137,f137]) ).
thf(f187,plain,
( mimplies
= ( ^ [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,[],[f144,f138,f137]) ).
thf(f189,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] :
( ( Y4 @ Y6 )
| ( Y5 @ 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] :
( ( Y4 @ Y6 )
| ( Y5 @ 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] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y1
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f146,f186,f187,f187]) ).
thf(f204,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ Y5 )
@ Y3
@ Y2 ) )
@ ( qmltpeq @ Y0 @ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f179,f163,f150,f150,f189,f186]) ).
thf(f207,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [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 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y0 ) )
@ ( qmltpeq @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f182,f163,f150,f150,f187,f186]) ).
thf(f208,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f209,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y0 ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f208]) ).
thf(f210,plain,
( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ sK1 )
| ~ ( subset @ Y1 @ Y0 @ sK1 ) )
| ( qmltpeq @ Y0 @ Y1 @ sK1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f209]) ).
thf(f211,plain,
( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ sK1 )
| ~ ( subset @ Y1 @ Y0 @ sK1 ) )
| ( qmltpeq @ Y0 @ Y1 @ sK1 ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f210]) ).
thf(f212,plain,
( $false
= ( ( exists_in_world @ sK2 @ sK1 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ sK2 @ sK1 ) )
| ( qmltpeq @ sK2 @ Y0 @ sK1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f213,plain,
( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ sK2 @ sK1 ) )
| ( qmltpeq @ sK2 @ Y0 @ sK1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f214,plain,
( $true
= ( exists_in_world @ sK2 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f215,plain,
( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ sK2 @ sK1 ) )
| ( qmltpeq @ sK2 @ Y0 @ sK1 ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f213]) ).
thf(f216,plain,
( $false
= ( ( exists_in_world @ sK3 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK2 @ sK1 ) )
| ( qmltpeq @ sK2 @ sK3 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f215]) ).
thf(f217,plain,
( $false
= ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK2 @ sK1 ) )
| ( qmltpeq @ sK2 @ sK3 @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f216]) ).
thf(f218,plain,
( $true
= ( exists_in_world @ sK3 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f216]) ).
thf(f219,plain,
( $false
= ( qmltpeq @ sK2 @ sK3 @ sK1 ) ),
inference(or_proxy_clausification,[],[f217]) ).
thf(f220,plain,
( $false
= ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK2 @ sK1 ) ) ) ),
inference(or_proxy_clausification,[],[f217]) ).
thf(f221,plain,
( $true
= ( ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK2 @ sK1 ) ) ) ),
inference(not_proxy_clausification,[],[f220]) ).
thf(f222,plain,
( $false
= ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK2 @ sK1 ) ) ),
inference(not_proxy_clausification,[],[f221]) ).
thf(f223,plain,
( $false
= ( ~ ( subset @ sK3 @ sK2 @ sK1 ) ) ),
inference(or_proxy_clausification,[],[f222]) ).
thf(f224,plain,
( $false
= ( ~ ( subset @ sK2 @ sK3 @ sK1 ) ) ),
inference(or_proxy_clausification,[],[f222]) ).
thf(f225,plain,
( $true
= ( subset @ sK2 @ sK3 @ sK1 ) ),
inference(not_proxy_clausification,[],[f224]) ).
thf(f226,plain,
( $true
= ( subset @ sK3 @ sK2 @ sK1 ) ),
inference(not_proxy_clausification,[],[f223]) ).
thf(f263,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ( ~ ( ~ ( qmltpeq @ Y1 @ Y2 @ Y0 )
| ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f264,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ( ~ ( ~ ( qmltpeq @ Y1 @ Y2 @ Y0 )
| ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y1 @ Y0 ) )
| ( qmltpeq @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f263]) ).
thf(f265,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ Y0 @ Y1 @ X1 )
| ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ~ ( subset @ Y1 @ Y0 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ~ ( subset @ Y1 @ Y0 @ X1 ) )
| ( qmltpeq @ Y0 @ Y1 @ X1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f264]) ).
thf(f266,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ Y0 @ Y1 @ X1 )
| ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ~ ( subset @ Y1 @ Y0 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ~ ( subset @ Y1 @ Y0 @ X1 ) )
| ( qmltpeq @ Y0 @ Y1 @ X1 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f265]) ).
thf(f267,plain,
! [X2: mu,X1: $i] :
( $true
= ( ( exists_in_world @ X2 @ X1 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ X2 @ Y0 @ X1 )
| ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ Y0 @ X1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f266]) ).
thf(f268,plain,
! [X2: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ X2 @ Y0 @ X1 )
| ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ Y0 @ X1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f267]) ).
thf(f269,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ X2 @ Y0 @ X1 )
| ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ~ ( subset @ Y0 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ Y0 @ X1 ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f268]) ).
thf(f270,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( ( exists_in_world @ X3 @ X1 )
=> ~ ( ~ ( ~ ( qmltpeq @ X2 @ X3 @ X1 )
| ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ X3 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f271,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ~ ( ~ ( ~ ( qmltpeq @ X2 @ X3 @ X1 )
| ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ X3 @ X1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f270]) ).
thf(f272,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ( qmltpeq @ X2 @ X3 @ X1 )
| ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ X3 @ X1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f271]) ).
thf(f273,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ X3 @ X1 ) ) ) ) ),
inference(or_proxy_clausification,[],[f272]) ).
thf(f284,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) )
| ( qmltpeq @ X2 @ X3 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f273]) ).
thf(f285,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) ) ) ),
inference(or_proxy_clausification,[],[f284]) ).
thf(f286,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f285]) ).
thf(f287,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 )
| ~ ( subset @ X3 @ X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f286]) ).
thf(f288,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( subset @ X3 @ X2 @ X1 ) ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f287]) ).
thf(f289,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $false
= ( subset @ X3 @ X2 @ X1 ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f288]) ).
thf(f290,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $false
= ( subset @ X3 @ X2 @ X1 ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) )
| ( $true
= ( qmltpeq @ X2 @ X3 @ X1 ) )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( ( exists_in_world @ X2 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f289]) ).
thf(f935,plain,
( ( $true = $false )
| ( $false
= ( subset @ sK2 @ sK3 @ sK1 ) )
| ( $true
= ( qmltpeq @ sK2 @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f226,f290]) ).
thf(f950,plain,
( ( $false
= ( subset @ sK2 @ sK3 @ sK1 ) )
| ( $true
= ( qmltpeq @ sK2 @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f935]) ).
thf(f977,plain,
( ( $true = $false )
| ( $true
= ( qmltpeq @ sK2 @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f950,f225]) ).
thf(f978,plain,
( ( $true
= ( qmltpeq @ sK2 @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f977]) ).
thf(f985,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f978,f219]) ).
thf(f986,plain,
( ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f985]) ).
thf(f993,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f986,f218]) ).
thf(f994,plain,
( $false
= ( exists_in_world @ sK2 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f993]) ).
thf(f1015,plain,
$true = $false,
inference(constrained_superposition,[],[f214,f994]) ).
thf(f1016,plain,
$false,
inference(trivial_inequality_removal,[],[f1015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET583^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n018.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Tue Sep 29 13:40:11 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.35 Running first-order model finding
% 0.30/0.35 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
% 0.34/0.49 % (76331)Will run a generic schedule for satisfiability detection.
% 0.34/0.49 % (76339)dis+10_1_sil=32000:sp=arity:random_seed=1955855411:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.49 % (76337)% WARNING: option uhcvi not known.
% 0.34/0.49 % (76337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2311027728:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.49 % (76336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3035621159_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.49 % (76338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1715472532:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.49 % (76340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2772434958:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.49 % (76342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3808078518:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.49 % (76341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=258046900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.49 % (76337)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.34/0.49 % (76340)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.34/0.49 % Exception at run slice level% (76337)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.34/0.49
% 0.34/0.49 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.34/0.49 % (76339)Instruction limit reached!
% 0.34/0.49 % (76339)------------------------------
% 0.34/0.49 % (76339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.49 % (76339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.49 % (76339)CaDiCaL version: 2.1.3
% 0.34/0.49 % (76339)Termination reason: Instruction limit
% 0.34/0.49 % (76339)Termination phase: Saturation
% 0.34/0.49 % (76339)Time elapsed: 0.044 s
% 0.34/0.49 % (76339)Peak memory usage: 12 MB
% 0.34/0.49 % (76339)Instructions burned: 104 (million)
% 0.34/0.49 % (76351)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2106041972:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.49 % (76350)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=79439559:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.34/0.49 % Exception at run slice level
% 0.34/0.49 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.34/0.49 % (76338) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-76331-76338"...
% 0.34/0.49 % (76337) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-76331-76337"...
% 0.34/0.49 % (76338)...printing done.
% 0.34/0.49 % (76338)Refutation found. Thanks to Tanya!
% 0.34/0.49 % SZS status Theorem for theBenchmark
% 0.34/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.50 % (76338)------------------------------
% 0.34/0.50 % (76338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.50 % (76338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.50 % (76338)CaDiCaL version: 2.1.3
% 0.34/0.50 % (76338)Termination reason: Refutation
% 0.34/0.50 % (76338)Time elapsed: 0.077 s
% 0.34/0.50 % (76338)Peak memory usage: 12 MB
% 0.34/0.50 % (76338)Instructions burned: 86 (million)
% 0.34/0.50 % (76331)Success in time 0.134 s
% 0.34/0.50 % Vampire exiting
%------------------------------------------------------------------------------