%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET027^7 : 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 : n002.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 08:23:32 AM UTC 2026
% Result : Theorem 31.68s 4.88s
% Output : Refutation 31.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 9
% Syntax : Number of formulae : 127 ( 67 unt; 0 typ; 0 def)
% Number of atoms : 1435 ( 306 equ; 0 cnn)
% Maximal formula atoms : 11 ( 11 avg)
% Number of connectives : 2266 ( 183 ~; 295 |; 0 &;1641 @)
% ( 0 <=>; 79 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 57 usr; 7 con; 0-4 aty)
% ( 68 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 400 ( 275 ^; 125 !; 0 ?; 400 :)
% 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 ).
thf(func_def_58,type,
sK5: 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(f37,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] :
( mequiv @ ( subset @ X0 @ X1 )
@ ( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( member @ X2 @ X0 ) @ ( member @ X2 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
thf(f39,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X2 ) ) @ ( subset @ X0 @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity_of_subset) ).
thf(f40,negated_conjecture,
~ ( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X2 ) ) @ ( subset @ X0 @ X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
thf(f42,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f43,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f42]) ).
thf(f44,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f45,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f51,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f52,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f54,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f59,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f60,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f59]) ).
thf(f85,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f86,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f102,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] :
( mequiv @ ( subset @ X0 @ X1 )
@ ( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( member @ X2 @ X0 ) @ ( member @ X2 @ X1 ) ) ) ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f103,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] :
( mequiv @ ( subset @ Y0 @ Y1 )
@ ( mforall_ind
@ ^ [Y2: mu] : ( mimplies @ ( member @ Y2 @ Y0 ) @ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f102]) ).
thf(f106,plain,
~ ( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] :
( mforall_ind
@ ^ [X2: mu] : ( mimplies @ ( mand @ ( subset @ X0 @ X1 ) @ ( subset @ X1 @ X2 ) ) @ ( subset @ X0 @ X2 ) ) ) ) ) ),
inference(rectify,[],[f40]) ).
thf(f107,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] :
( mforall_ind
@ ^ [Y2: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y2 ) ) @ ( subset @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f108,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] :
( mforall_ind
@ ^ [Y2: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y2 ) ) @ ( subset @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(flattening,[],[f107]) ).
thf(f113,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f114,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f119,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f120,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f122,plain,
( mequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ ( mimplies @ Y0 @ Y1 ) @ ( mimplies @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f126,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f139,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f148,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] :
( mequiv @ ( subset @ Y0 @ Y1 )
@ ( mforall_ind
@ ^ [Y2: mu] : ( mimplies @ ( member @ Y2 @ Y0 ) @ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f103]) ).
thf(f150,plain,
( $true
!= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] :
( mforall_ind
@ ^ [Y2: mu] : ( mimplies @ ( mand @ ( subset @ Y0 @ Y1 ) @ ( subset @ Y1 @ Y2 ) ) @ ( subset @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f108]) ).
thf(f154,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,[],[f119,f113,f114,f113,f113]) ).
thf(f155,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,[],[f120,f114,f113]) ).
thf(f157,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,[],[f122,f154,f155,f155]) ).
thf(f165,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 ) )
@ ( subset @ Y0 @ Y1 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i > $o] :
( ^ [Y5: $i > $o,Y6: $i > $o,Y7: $i] :
( ( Y5 @ Y7 )
| ( Y6 @ Y7 ) )
@ ( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ Y3 )
@ Y4 )
@ ( member @ Y2 @ Y0 )
@ ( member @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f148,f139,f126,f126,f157,f126,f155]) ).
thf(f167,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: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i > $o] :
( ^ [Y5: $i > $o,Y6: $i > $o,Y7: $i] :
( ( Y5 @ Y7 )
| ( Y6 @ Y7 ) )
@ ( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ Y3 )
@ Y4 )
@ ( ^ [Y3: $i > $o,Y4: $i > $o] :
( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ ( ^ [Y5: $i > $o,Y6: $i > $o,Y7: $i] :
( ( Y5 @ Y7 )
| ( Y6 @ Y7 ) )
@ ( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ Y3 )
@ ( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ Y4 ) ) )
@ ( subset @ Y0 @ Y1 )
@ ( subset @ Y1 @ Y2 ) )
@ ( subset @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f150,f139,f126,f126,f126,f155,f154]) ).
thf(f168,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y3 @ Y0 ) )
| ( subset @ Y1 @ Y3 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f167]) ).
thf(f169,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ~ ( subset @ Y2 @ Y3 @ Y0 ) )
| ( subset @ Y1 @ Y3 @ Y0 ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f168]) ).
thf(f170,plain,
( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ sK1 )
| ~ ( subset @ Y1 @ Y2 @ sK1 ) )
| ( subset @ Y0 @ Y2 @ sK1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f171,plain,
( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ Y0 @ Y1 @ sK1 )
| ~ ( subset @ Y1 @ Y2 @ sK1 ) )
| ( subset @ Y0 @ Y2 @ sK1 ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f170]) ).
thf(f172,plain,
( $false
= ( ( exists_in_world @ sK2 @ sK1 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ Y1 @ sK1 ) )
| ( subset @ sK2 @ Y1 @ sK1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f171]) ).
thf(f173,plain,
( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ Y1 @ sK1 ) )
| ( subset @ sK2 @ Y1 @ sK1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f172]) ).
thf(f174,plain,
( $true
= ( exists_in_world @ sK2 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f172]) ).
thf(f175,plain,
( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ Y0 @ sK1 )
| ~ ( subset @ Y0 @ Y1 @ sK1 ) )
| ( subset @ sK2 @ Y1 @ sK1 ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f173]) ).
thf(f176,plain,
( $false
= ( ( exists_in_world @ sK3 @ sK1 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ Y0 @ sK1 ) )
| ( subset @ sK2 @ Y0 @ sK1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f175]) ).
thf(f177,plain,
( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ Y0 @ sK1 ) )
| ( subset @ sK2 @ Y0 @ sK1 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f176]) ).
thf(f178,plain,
( $true
= ( exists_in_world @ sK3 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f176]) ).
thf(f179,plain,
( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ Y0 @ sK1 ) )
| ( subset @ sK2 @ Y0 @ sK1 ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f177]) ).
thf(f180,plain,
( $false
= ( ( exists_in_world @ sK4 @ sK1 )
=> ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK4 @ sK1 ) )
| ( subset @ sK2 @ sK4 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f179]) ).
thf(f181,plain,
( $false
= ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK4 @ sK1 ) )
| ( subset @ sK2 @ sK4 @ sK1 ) ) ),
inference(imp_proxy_clausification,[],[f180]) ).
thf(f182,plain,
( $true
= ( exists_in_world @ sK4 @ sK1 ) ),
inference(imp_proxy_clausification,[],[f180]) ).
thf(f183,plain,
( $false
= ( subset @ sK2 @ sK4 @ sK1 ) ),
inference(or_proxy_clausification,[],[f181]) ).
thf(f184,plain,
( $false
= ( ~ ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK4 @ sK1 ) ) ) ),
inference(or_proxy_clausification,[],[f181]) ).
thf(f185,plain,
( $true
= ( ~ ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK4 @ sK1 ) ) ) ),
inference(not_proxy_clausification,[],[f184]) ).
thf(f186,plain,
( $false
= ( ~ ( subset @ sK2 @ sK3 @ sK1 )
| ~ ( subset @ sK3 @ sK4 @ sK1 ) ) ),
inference(not_proxy_clausification,[],[f185]) ).
thf(f187,plain,
( $false
= ( ~ ( subset @ sK3 @ sK4 @ sK1 ) ) ),
inference(or_proxy_clausification,[],[f186]) ).
thf(f188,plain,
( $false
= ( ~ ( subset @ sK2 @ sK3 @ sK1 ) ) ),
inference(or_proxy_clausification,[],[f186]) ).
thf(f189,plain,
( $true
= ( subset @ sK2 @ sK3 @ sK1 ) ),
inference(not_proxy_clausification,[],[f188]) ).
thf(f190,plain,
( $true
= ( subset @ sK3 @ sK4 @ sK1 ) ),
inference(not_proxy_clausification,[],[f187]) ).
thf(f197,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 )
| ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ( member @ Y3 @ Y1 @ Y0 )
| ( member @ Y3 @ Y2 @ Y0 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ( member @ Y3 @ Y1 @ Y0 )
| ( member @ Y3 @ Y2 @ Y0 ) ) ) )
| ( subset @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f165]) ).
thf(f198,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ( ~ ( ~ ( subset @ Y1 @ Y2 @ Y0 )
| ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ( member @ Y3 @ Y1 @ Y0 )
| ( member @ Y3 @ Y2 @ Y0 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( ~ ( member @ Y3 @ Y1 @ Y0 )
| ( member @ Y3 @ Y2 @ Y0 ) ) ) )
| ( subset @ Y1 @ Y2 @ Y0 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ~ ( ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ X1 )
=> ( ~ ( member @ Y2 @ Y0 @ X1 )
| ( member @ Y2 @ Y1 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ X1 )
=> ( ~ ( member @ Y2 @ Y0 @ X1 )
| ( member @ Y2 @ Y1 @ X1 ) ) ) )
| ( subset @ Y0 @ Y1 @ X1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ~ ( ~ ( ~ ( subset @ Y0 @ Y1 @ X1 )
| ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ X1 )
=> ( ~ ( member @ Y2 @ Y0 @ X1 )
| ( member @ Y2 @ Y1 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ X1 )
=> ( ~ ( member @ Y2 @ Y0 @ X1 )
| ( member @ Y2 @ Y1 @ X1 ) ) ) )
| ( subset @ Y0 @ Y1 @ X1 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X2: mu,X1: $i] :
( $true
= ( ( exists_in_world @ X2 @ X1 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) )
| ( subset @ X2 @ Y0 @ X1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f200]) ).
thf(f202,plain,
! [X2: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) )
| ( subset @ X2 @ Y0 @ X1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f201]) ).
thf(f203,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ~ ( ~ ( ~ ( subset @ X2 @ Y0 @ X1 )
| ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ X1 )
=> ( ~ ( member @ Y1 @ X2 @ X1 )
| ( member @ Y1 @ Y0 @ X1 ) ) ) )
| ( subset @ X2 @ Y0 @ X1 ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f202]) ).
thf(f204,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $true
= ( ( exists_in_world @ X3 @ X1 )
=> ~ ( ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) )
| ( subset @ X2 @ X3 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f205,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ~ ( ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) )
| ( subset @ X2 @ X3 @ X1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f204]) ).
thf(f206,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) )
| ~ ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) )
| ( subset @ X2 @ X3 @ X1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) )
| ( subset @ X2 @ X3 @ X1 ) ) ) ) ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( ~ ( ~ ( subset @ X2 @ X3 @ X1 )
| ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f209,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 )
| ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) )
@ X4 ) )
| ( $true
= ( ~ ( subset @ X2 @ X3 @ X1 ) ) ) ),
inference(pi_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) )
@ X4 ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f211]) ).
thf(f213,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ( exists_in_world @ X4 @ X1 )
=> ( ~ ( member @ X4 @ X2 @ X1 )
| ( member @ X4 @ X3 @ X1 ) ) ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f214,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( exists_in_world @ X4 @ X1 ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( member @ X4 @ X2 @ X1 )
| ( member @ X4 @ X3 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f213]) ).
thf(f215,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $false
= ( exists_in_world @ X4 @ X1 ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) )
| ( $true
= ( member @ X4 @ X3 @ X1 ) )
| ( $true
= ( ~ ( member @ X4 @ X2 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f214]) ).
thf(f216,plain,
! [X2: mu,X3: mu,X1: $i,X4: mu] :
( ( $true
= ( member @ X4 @ X3 @ X1 ) )
| ( $false
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( member @ X4 @ X2 @ X1 ) )
| ( $false
= ( exists_in_world @ X4 @ X1 ) )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( ( exists_in_world @ X2 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) )
| ( subset @ X2 @ X3 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f207]) ).
thf(f218,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ X1 )
=> ( ~ ( member @ Y0 @ X2 @ X1 )
| ( member @ Y0 @ X3 @ X1 ) ) )
@ ( sK5 @ X3 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f219]) ).
thf(f221,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( ( exists_in_world @ ( sK5 @ X3 @ X1 @ X2 ) @ X1 )
=> ( ~ ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X2 @ X1 )
| ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X3 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f220]) ).
thf(f222,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X2 @ X1 )
| ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X3 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f223,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( exists_in_world @ ( sK5 @ X3 @ X1 @ X2 ) @ X1 ) )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( ( exists_in_world @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f224,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $false
= ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X3 @ X1 ) )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( ( exists_in_world @ X2 @ X1 )
= $false ) ),
inference(or_proxy_clausification,[],[f222]) ).
thf(f225,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( exists_in_world @ X2 @ X1 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X2 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f222]) ).
thf(f226,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( member @ ( sK5 @ X3 @ X1 @ X2 ) @ X2 @ X1 ) )
| ( $false
= ( exists_in_world @ X3 @ X1 ) )
| ( $true
= ( subset @ X2 @ X3 @ X1 ) )
| ( ( exists_in_world @ X2 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f225]) ).
thf(f415,plain,
! [X2: $i,X3: mu,X0: mu,X1: mu,X4: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ X3 @ X2 ) )
| ( $false
= ( subset @ X1 @ X3 @ X2 ) )
| ( ( exists_in_world @ X0 @ X2 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X2 ) )
| ( $false
= ( exists_in_world @ X1 @ X2 ) )
| ( $false
= ( subset @ X4 @ X1 @ X2 ) )
| ( $false
= ( member @ X0 @ X4 @ X2 ) )
| ( ( exists_in_world @ X0 @ X2 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ X2 ) )
| ( $false
= ( exists_in_world @ X4 @ X2 ) ) ),
inference(constrained_superposition,[],[f216,f216]) ).
thf(f427,plain,
! [X2: $i,X3: mu,X0: mu,X1: mu,X4: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ X3 @ X2 ) )
| ( $false
= ( subset @ X1 @ X3 @ X2 ) )
| ( ( exists_in_world @ X0 @ X2 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ X2 ) )
| ( $false
= ( exists_in_world @ X1 @ X2 ) )
| ( $false
= ( subset @ X4 @ X1 @ X2 ) )
| ( $false
= ( member @ X0 @ X4 @ X2 ) )
| ( $false
= ( exists_in_world @ X4 @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f415]) ).
thf(f428,plain,
! [X2: $i,X3: mu,X0: mu,X1: mu,X4: mu] :
( ( $true
= ( member @ X0 @ X3 @ X2 ) )
| ( $false
= ( subset @ X4 @ X1 @ X2 ) )
| ( $false
= ( subset @ X1 @ X3 @ X2 ) )
| ( $false
= ( member @ X0 @ X4 @ X2 ) )
| ( $false
= ( exists_in_world @ X1 @ X2 ) )
| ( $false
= ( exists_in_world @ X3 @ X2 ) )
| ( ( exists_in_world @ X0 @ X2 )
= $false )
| ( $false
= ( exists_in_world @ X4 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f1919,plain,
! [X0: mu,X1: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(constrained_superposition,[],[f190,f428]) ).
thf(f1931,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK3 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1919]) ).
thf(f1956,plain,
! [X0: mu,X1: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(forward_demodulation,[],[f1931,f178]) ).
thf(f1957,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1956]) ).
thf(f1964,plain,
! [X0: mu,X1: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(forward_demodulation,[],[f1957,f182]) ).
thf(f1965,plain,
! [X0: mu,X1: mu] :
( ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( subset @ X1 @ sK3 @ sK1 ) )
| ( $false
= ( member @ X0 @ X1 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ X1 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f1964]) ).
thf(f7736,plain,
! [X0: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( member @ X0 @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f189,f1965]) ).
thf(f7747,plain,
! [X0: mu] :
( ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( member @ X0 @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f7736]) ).
thf(f7771,plain,
! [X0: mu] :
( ( $true = $false )
| ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( member @ X0 @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) ) ),
inference(forward_demodulation,[],[f7747,f174]) ).
thf(f7772,plain,
! [X0: mu] :
( ( $true
= ( member @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( member @ X0 @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f7771]) ).
thf(f8329,plain,
! [X0: mu] :
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( member @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f224,f7772]) ).
thf(f8336,plain,
! [X0: mu] :
( ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( member @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f8329]) ).
thf(f8346,plain,
! [X0: mu] :
( ( $true = $false )
| ( $true
= ( subset @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $false
= ( member @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK1 ) ) ),
inference(forward_demodulation,[],[f8336,f182]) ).
thf(f8347,plain,
! [X0: mu] :
( ( $false
= ( member @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ X0 @ sK1 ) )
| ( $true
= ( subset @ X0 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ X0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f8346]) ).
thf(f18792,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f226,f8347]) ).
thf(f18805,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(duplicate_literal_removal,[],[f18792]) ).
thf(f18806,plain,
( ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f18805]) ).
thf(f18828,plain,
( ( $true = $false )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(forward_demodulation,[],[f18806,f182]) ).
thf(f18829,plain,
( ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f18828]) ).
thf(f18838,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(forward_demodulation,[],[f18829,f183]) ).
thf(f18839,plain,
( ( $false
= ( exists_in_world @ sK2 @ sK1 ) )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f18838]) ).
thf(f18842,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ) ),
inference(forward_demodulation,[],[f18839,f174]) ).
thf(f18843,plain,
( $false
= ( exists_in_world @ ( sK5 @ sK4 @ sK1 @ sK2 ) @ sK1 ) ),
inference(trivial_inequality_removal,[],[f18842]) ).
thf(f19601,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(constrained_superposition,[],[f223,f18843]) ).
thf(f19608,plain,
( ( $false
= ( exists_in_world @ sK4 @ sK1 ) )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f19601]) ).
thf(f19634,plain,
( ( $true = $false )
| ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f19608,f182]) ).
thf(f19635,plain,
( ( $true
= ( subset @ sK2 @ sK4 @ sK1 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f19634]) ).
thf(f19650,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK2 @ sK1 ) ) ),
inference(forward_demodulation,[],[f19635,f183]) ).
thf(f19651,plain,
( $false
= ( exists_in_world @ sK2 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f19650]) ).
thf(f19910,plain,
$true = $false,
inference(constrained_superposition,[],[f174,f19651]) ).
thf(f19911,plain,
$false,
inference(trivial_inequality_removal,[],[f19910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:38:38 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 3.54/0.87 % (1285995)Will run a generic schedule for satisfiability detection.
% 3.54/0.87 % (1286004)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=937279607_2999 on theBenchmark for (2999ds/0Mi)
% 3.54/0.87 % Exception at run slice level
% 3.54/0.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.87 % (1286005)% WARNING: option uhcvi not known.
% 3.54/0.87 % (1286006)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3768507683:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.54/0.87 % (1286009)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=748516276:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.54/0.87 % (1286010)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3228150790:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.54/0.87 % (1286005)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1603140969:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.54/0.87 % (1286007)dis+10_1_sil=32000:sp=arity:random_seed=1960116679:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.54/0.87 % (1286008)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3433029473:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.54/0.87 % (1286005)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.87 % (1286005)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.54/0.87 % (1286008)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.54/0.87 % (1286015)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2477660593:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.54/0.87 % Exception at run slice level
% 3.54/0.87 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.54/0.87 % (1286033)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3240720960:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.54/0.87 % (1286007)Instruction limit reached!
% 3.54/0.87 % (1286007)------------------------------
% 3.54/0.87 % (1286007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.87 % (1286007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.87 % (1286007)CaDiCaL version: 2.1.3
% 3.54/0.87 % (1286007)Termination reason: Instruction limit
% 3.54/0.87 % (1286007)Termination phase: Saturation
% 3.54/0.87 % (1286007)Time elapsed: 0.050 s
% 3.54/0.87 % (1286007)Peak memory usage: 12 MB
% 3.54/0.87 % (1286007)Instructions burned: 104 (million)
% 3.54/0.87 % (1286008)Instruction limit reached!
% 3.54/0.87 % (1286008)------------------------------
% 3.54/0.87 % (1286008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.87 % (1286008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.87 % (1286008)CaDiCaL version: 2.1.3
% 3.54/0.87 % (1286008)Termination reason: Instruction limit
% 3.54/0.87 % (1286008)Termination phase: Saturation
% 3.54/0.87 % (1286008)Time elapsed: 0.055 s
% 3.54/0.87 % (1286008)Peak memory usage: 12 MB
% 3.54/0.87 % (1286008)Instructions burned: 117 (million)
% 3.54/0.87 % (1286009)Instruction limit reached!
% 3.54/0.87 % (1286009)------------------------------
% 3.54/0.87 % (1286009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.87 % (1286009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.87 % (1286009)CaDiCaL version: 2.1.3
% 3.54/0.87 % (1286009)Termination reason: Instruction limit
% 3.54/0.87 % (1286009)Termination phase: Saturation
% 3.54/0.87 % (1286009)Time elapsed: 0.065 s
% 3.54/0.87 % (1286009)Peak memory usage: 12 MB
% 3.54/0.87 % (1286009)Instructions burned: 133 (million)
% 3.54/0.87 % (1286048)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=1803910409:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.54/0.87 % (1286010)Instruction limit reached!
% 3.54/0.87 % (1286010)------------------------------
% 3.54/0.87 % (1286010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.87 % (1286010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.87 % (1286010)CaDiCaL version: 2.1.3
% 3.54/0.87 % (1286010)Termination reason: Instruction limit
% 13.93/2.26 % (1286010)Termination phase: Saturation
% 13.93/2.26 % (1286010)Time elapsed: 0.072 s
% 13.93/2.26 % (1286010)Peak memory usage: 12 MB
% 13.93/2.26 % (1286010)Instructions burned: 160 (million)
% 13.93/2.26 % (1286048)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.93/2.26 % (1286048)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 13.93/2.26 % (1286052)ott-21_1_sil=16000:fs=off:random_seed=1558554584:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 13.93/2.26 % (1286053)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4147463316:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.93/2.26 % (1286033)Instruction limit reached!
% 13.93/2.26 % (1286033)------------------------------
% 13.93/2.26 % (1286033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.93/2.26 % (1286033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.93/2.26 % (1286033)CaDiCaL version: 2.1.3
% 13.93/2.26 % (1286033)Termination reason: Instruction limit
% 13.93/2.26 % (1286033)Termination phase: Saturation
% 13.93/2.26 % (1286033)Time elapsed: 0.053 s
% 13.93/2.26 % (1286033)Peak memory usage: 12 MB
% 13.93/2.26 % (1286033)Instructions burned: 131 (million)
% 13.93/2.26 % (1286059)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3915596431:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 13.93/2.26 % (1286062)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=500051834:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 13.93/2.26 % Exception at run slice level
% 13.93/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.93/2.26 % (1286069)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1111979546:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 13.93/2.26 % Exception at run slice level
% 13.93/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.93/2.26 % (1286076)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1605699932:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 13.93/2.26 % (1286076)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.93/2.26 % (1286052)Instruction limit reached!
% 13.93/2.26 % (1286052)------------------------------
% 13.93/2.26 % (1286052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.93/2.26 % (1286052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.93/2.26 % (1286052)CaDiCaL version: 2.1.3
% 13.93/2.26 % (1286052)Termination reason: Instruction limit
% 13.93/2.26 % (1286052)Termination phase: Saturation
% 13.93/2.26 % (1286052)Time elapsed: 0.089 s
% 13.93/2.26 % (1286052)Peak memory usage: 12 MB
% 13.93/2.26 % (1286052)Instructions burned: 182 (million)
% 13.93/2.26 % (1286087)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2711654607:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 13.93/2.26 % (1286087)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 13.93/2.26 % (1286053)Instruction limit reached!
% 13.93/2.26 % (1286053)------------------------------
% 13.93/2.26 % (1286053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.93/2.26 % (1286053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.93/2.26 % (1286053)CaDiCaL version: 2.1.3
% 13.93/2.26 % (1286053)Termination reason: Instruction limit
% 13.93/2.26 % (1286053)Termination phase: Saturation
% 13.93/2.26 % (1286053)Time elapsed: 0.248 s
% 13.93/2.26 % (1286053)Peak memory usage: 13 MB
% 13.93/2.26 % (1286053)Instructions burned: 477 (million)
% 13.93/2.26 % (1286112)fmb+10_1_sil=64000:random_seed=4111227955:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 13.93/2.26 % (1286112)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 13.93/2.26 % Exception at run slice level
% 13.93/2.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 13.93/2.26 % (1286062)Instruction limit reached!
% 13.93/2.26 % (1286062)------------------------------
% 13.93/2.26 % (1286062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.93/2.26 % (1286062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.55/4.70 % (1286062)CaDiCaL version: 2.1.3
% 30.55/4.70 % (1286062)Termination reason: Instruction limit
% 30.55/4.70 % (1286062)Termination phase: Saturation
% 30.55/4.70 % (1286062)Time elapsed: 0.262 s
% 30.55/4.70 % (1286062)Peak memory usage: 12 MB
% 30.55/4.70 % (1286062)Instructions burned: 1180 (million)
% 30.55/4.70 % (1286048)Instruction limit reached!
% 30.55/4.70 % (1286048)------------------------------
% 30.55/4.70 % (1286048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.55/4.70 % (1286048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.55/4.70 % (1286048)CaDiCaL version: 2.1.3
% 30.55/4.70 % (1286048)Termination reason: Instruction limit
% 30.55/4.70 % (1286048)Termination phase: Saturation
% 30.55/4.70 % (1286048)Time elapsed: 0.303 s
% 30.55/4.70 % (1286048)Peak memory usage: 12 MB
% 30.55/4.70 % (1286048)Instructions burned: 685 (million)
% 30.55/4.70 % (1286127)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=672543286:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 30.55/4.70 % Exception at run slice level
% 30.55/4.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.55/4.70 % (1286123)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=909668785:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 30.55/4.70 % Exception at run slice level
% 30.55/4.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.55/4.70 % (1286134)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1541785799:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 30.55/4.70 % (1286134)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 30.55/4.70 % (1286134)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 30.55/4.70 % (1286131)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=590210199:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 30.55/4.70 % (1286131)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.55/4.70 % (1286137)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3727905042:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 30.55/4.70 % Exception at run slice level
% 30.55/4.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.55/4.70 % (1286150)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2288302523:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 30.55/4.70 % Exception at run slice level
% 30.55/4.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 30.55/4.70 % (1286076)Instruction limit reached!
% 30.55/4.70 % (1286076)------------------------------
% 30.55/4.70 % (1286076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.55/4.70 % (1286076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.55/4.70 % (1286076)CaDiCaL version: 2.1.3
% 30.55/4.70 % (1286076)Termination reason: Instruction limit
% 30.55/4.70 % (1286076)Termination phase: Saturation
% 30.55/4.70 % (1286076)Time elapsed: 0.290 s
% 30.55/4.70 % (1286076)Peak memory usage: 13 MB
% 30.55/4.70 % (1286076)Instructions burned: 692 (million)
% 30.55/4.70 % (1286160)ott-2_1_sil=16000:newcnf=on:random_seed=982556017:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 30.55/4.70 % (1286160)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 30.55/4.70 % (1286161)ott+10_1_sil=32000:tgt=ground:random_seed=1532065234:i=5114:av=off_2995 on theBenchmark for (2995ds/5114Mi)
% 30.55/4.70 % (1286087)Instruction limit reached!
% 30.55/4.70 % (1286087)------------------------------
% 30.55/4.70 % (1286087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.55/4.70 % (1286087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.55/4.70 % (1286087)CaDiCaL version: 2.1.3
% 30.55/4.70 % (1286087)Termination reason: Instruction limit
% 30.55/4.70 % (1286087)Termination phase: Saturation
% 30.55/4.70 % (1286087)Time elapsed: 0.388 s
% 30.55/4.70 % (1286087)Peak memory usage: 13 MB
% 30.55/4.70 % (1286087)Instructions burned: 880 (million)
% 30.55/4.70 % (1286198)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3712234737:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 30.55/4.70 % Exception at run slice level
% 30.55/4.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286200)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1817076412:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 31.68/4.88 % (1286200)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 31.68/4.88 % (1286134)Instruction limit reached!
% 31.68/4.88 % (1286134)------------------------------
% 31.68/4.88 % (1286134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286134)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286134)Termination reason: Instruction limit
% 31.68/4.88 % (1286134)Termination phase: Saturation
% 31.68/4.88 % (1286134)Time elapsed: 0.405 s
% 31.68/4.88 % (1286134)Peak memory usage: 19 MB
% 31.68/4.88 % (1286134)Instructions burned: 1477 (million)
% 31.68/4.88 % (1286160)Instruction limit reached!
% 31.68/4.88 % (1286160)------------------------------
% 31.68/4.88 % (1286160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286160)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286160)Termination reason: Instruction limit
% 31.68/4.88 % (1286160)Termination phase: Saturation
% 31.68/4.88 % (1286160)Time elapsed: 0.353 s
% 31.68/4.88 % (1286160)Peak memory usage: 12 MB
% 31.68/4.88 % (1286160)Instructions burned: 871 (million)
% 31.68/4.88 % (1286234)dis+21_1_sil=32000:sas=cadical:random_seed=792010612:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 31.68/4.88 % (1286235)ott+11_1_sil=16000:gs=on:random_seed=1672078411:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 31.68/4.88 % (1286235)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 31.68/4.88 % (1286234)Instruction limit reached!
% 31.68/4.88 % (1286234)------------------------------
% 31.68/4.88 % (1286234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286234)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286234)Termination reason: Instruction limit
% 31.68/4.88 % (1286234)Termination phase: Saturation
% 31.68/4.88 % (1286234)Time elapsed: 0.774 s
% 31.68/4.88 % (1286234)Peak memory usage: 14 MB
% 31.68/4.88 % (1286234)Instructions burned: 3778 (million)
% 31.68/4.88 % (1286285)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=302381129:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 31.68/4.88 % Exception at run slice level
% 31.68/4.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286287)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2124962:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 31.68/4.88 % (1286235)Instruction limit reached!
% 31.68/4.88 % (1286235)------------------------------
% 31.68/4.88 % (1286235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286235)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286235)Termination reason: Instruction limit
% 31.68/4.88 % (1286235)Termination phase: Saturation
% 31.68/4.88 % (1286235)Time elapsed: 0.862 s
% 31.68/4.88 % (1286235)Peak memory usage: 13 MB
% 31.68/4.88 % (1286235)Instructions burned: 2253 (million)
% 31.68/4.88 % (1286289)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2423984335:i=29340_2982 on theBenchmark for (2982ds/29340Mi)
% 31.68/4.88 % (1286200)Instruction limit reached!
% 31.68/4.88 % (1286200)------------------------------
% 31.68/4.88 % (1286200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286200)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286200)Termination reason: Instruction limit
% 31.68/4.88 % (1286200)Termination phase: Saturation
% 31.68/4.88 % (1286200)Time elapsed: 1.348 s
% 31.68/4.88 % (1286200)Peak memory usage: 14 MB
% 31.68/4.88 % (1286200)Instructions burned: 3512 (million)
% 31.68/4.88 % (1286291)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=310618173:i=5211_2979 on theBenchmark for (2979ds/5211Mi)
% 31.68/4.88 % (1286131)Instruction limit reached!
% 31.68/4.88 % (1286131)------------------------------
% 31.68/4.88 % (1286131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286131)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286131)Termination reason: Instruction limit
% 31.68/4.88 % (1286131)Termination phase: Saturation
% 31.68/4.88 % (1286131)Time elapsed: 1.923 s
% 31.68/4.88 % (1286131)Peak memory usage: 14 MB
% 31.68/4.88 % (1286131)Instructions burned: 5133 (million)
% 31.68/4.88 % (1286161)Instruction limit reached!
% 31.68/4.88 % (1286161)------------------------------
% 31.68/4.88 % (1286161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286161)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286161)Termination reason: Instruction limit
% 31.68/4.88 % (1286161)Termination phase: Saturation
% 31.68/4.88 % (1286161)Time elapsed: 1.874 s
% 31.68/4.88 % (1286161)Peak memory usage: 13 MB
% 31.68/4.88 % (1286161)Instructions burned: 5115 (million)
% 31.68/4.88 % (1286293)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=4239695191:i=5497:nm=2_2976 on theBenchmark for (2976ds/5497Mi)
% 31.68/4.88 % Exception at run slice level
% 31.68/4.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286294)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1048974677:fmbsr=2:i=46332_2976 on theBenchmark for (2976ds/46332Mi)
% 31.68/4.88 % Exception at run slice level
% 31.68/4.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286296)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4204561038:i=14071_2976 on theBenchmark for (2976ds/14071Mi)
% 31.68/4.88 % Exception at run slice level
% 31.68/4.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286298)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2536170604:i=22565:add=on:rawr=on_2976 on theBenchmark for (2976ds/22565Mi)
% 31.68/4.88 % (1286300)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2477568873:i=8173:av=off_2976 on theBenchmark for (2976ds/8173Mi)
% 31.68/4.88 % (1286287)Instruction limit reached!
% 31.68/4.88 % (1286287)------------------------------
% 31.68/4.88 % (1286287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286287)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286287)Termination reason: Instruction limit
% 31.68/4.88 % (1286287)Termination phase: Saturation
% 31.68/4.88 % (1286287)Time elapsed: 1.002 s
% 31.68/4.88 % (1286287)Peak memory usage: 16 MB
% 31.68/4.88 % (1286287)Instructions burned: 4592 (million)
% 31.68/4.88 % (1286303)dis+10_16:1_sil=16000:random_seed=2995594830:i=9155:fsr=off_2973 on theBenchmark for (2973ds/9155Mi)
% 31.68/4.88 % (1286291)Instruction limit reached!
% 31.68/4.88 % (1286291)------------------------------
% 31.68/4.88 % (1286291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286291)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286291)Termination reason: Instruction limit
% 31.68/4.88 % (1286291)Termination phase: Saturation
% 31.68/4.88 % (1286291)Time elapsed: 1.926 s
% 31.68/4.88 % (1286291)Peak memory usage: 15 MB
% 31.68/4.88 % (1286291)Instructions burned: 5213 (million)
% 31.68/4.88 % (1286305)ott-3_8_sil=64000:random_seed=3476688321:i=20139:bs=on_2960 on theBenchmark for (2960ds/20139Mi)
% 31.68/4.88 % (1286303)Instruction limit reached!
% 31.68/4.88 % (1286303)------------------------------
% 31.68/4.88 % (1286303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286303)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286303)Termination reason: Instruction limit
% 31.68/4.88 % (1286303)Termination phase: Saturation
% 31.68/4.88 % (1286303)Time elapsed: 1.795 s
% 31.68/4.88 % (1286303)Peak memory usage: 15 MB
% 31.68/4.88 % (1286303)Instructions burned: 9160 (million)
% 31.68/4.88 % (1286307)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1902618242:fmbsr=2:i=32576_2955 on theBenchmark for (2955ds/32576Mi)
% 31.68/4.88 % Exception at run slice level
% 31.68/4.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 31.68/4.88 % (1286309)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3303379015:i=11404_2955 on theBenchmark for (2955ds/11404Mi)
% 31.68/4.88 % (1286300) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1285995-1286300"...
% 31.68/4.88 % (1286300)...printing done.
% 31.68/4.88 % (1286300)Refutation found. Thanks to Tanya!
% 31.68/4.88 % SZS status Theorem for theBenchmark
% 31.68/4.88 % SZS output start Proof for theBenchmark
% See solution above
% 31.68/4.88 % (1286300)------------------------------
% 31.68/4.88 % (1286300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.68/4.88 % (1286300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.68/4.88 % (1286300)CaDiCaL version: 2.1.3
% 31.68/4.88 % (1286300)Termination reason: Refutation
% 31.68/4.88 % (1286300)Time elapsed: 2.218 s
% 31.68/4.88 % (1286300)Peak memory usage: 14 MB
% 31.68/4.88 % (1286300)Instructions burned: 5979 (million)
% 31.68/4.88 % (1285995)Success in time 4.639 s
% 31.68/4.88 % Vampire exiting
%------------------------------------------------------------------------------