%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV431^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:40:06 AM UTC 2026
% Result : Theorem 86.82s 14.17s
% Output : Refutation 86.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 14
% Syntax : Number of formulae : 144 ( 90 unt; 0 typ; 1 def)
% Number of atoms : 1289 ( 256 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 1737 ( 72 ~; 198 |; 0 &;1214 @)
% ( 1 <=>; 136 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 196 ( 196 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 66 usr; 9 con; 0-4 aty)
% ( 116 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 450 ( 0 sgn 120 !; 0 ?; 450 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
rel: $i > $i > $o ).
thf(func_def_21,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
icl_true: $i > $o ).
thf(func_def_27,type,
icl_false: $i > $o ).
thf(func_def_28,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_29,type,
iclval: ( $i > $o ) > $o ).
thf(func_def_30,type,
icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_31,type,
a: $i > $o ).
thf(func_def_32,type,
b: $i > $o ).
thf(func_def_33,type,
s: $i > $o ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
vAND: $o > $o > $o ).
thf(func_def_43,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
vIMP: $o > $o > $o ).
thf(func_def_45,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_53,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_55,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_56,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_57,type,
sK9: $i > ( $i > $i > $o ) > $i ).
thf(func_def_58,type,
sK10: $i > ( $i > $i > $o ) > $i ).
thf(func_def_59,type,
sK11: $i > ( $i > $i > $o ) > $i ).
thf(func_def_60,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_61,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_62,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_63,type,
sK15: ( $i > $o ) > $i ).
thf(func_def_64,type,
sK16: ( $i > $o ) > $i ).
thf(func_def_65,type,
sK17: $i > ( $i > $i > $o ) > $i ).
thf(func_def_66,type,
sK18: $i > ( $i > $i > $o ) > $i ).
thf(func_def_67,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_68,type,
sK20: $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( icl_atom
= ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( icl_princ
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(f20,axiom,
( icl_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f23,axiom,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',trans_axiom) ).
thf(f27,axiom,
( icl_impl_princ
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^2.ax',icl_impl_princ) ).
thf(f28,conjecture,
iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',speaking_for) ).
thf(f29,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
thf(f32,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f33,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f32]) ).
thf(f34,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f35,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f38,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f40,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f41,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f40]) ).
thf(f48,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f49,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f56,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f57,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f60,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f61,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f62,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f65,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
inference(rectify,[],[f26]) ).
thf(f66,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f67,plain,
( icl_impl_princ
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f68,plain,
~ ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ),
inference(rectify,[],[f29]) ).
thf(f69,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f68]) ).
thf(f70,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(flattening,[],[f69]) ).
thf(f73,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f74,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f35]) ).
thf(f76,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f78,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f82,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f86,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f87,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f90,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f93,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f94,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f96,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f97,plain,
( icl_impl_princ
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f67]) ).
thf(f98,plain,
( ( iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f70]) ).
thf(f101,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f76,f74,f73]) ).
thf(f103,plain,
( icl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 ) ) ),
inference(definition_unfolding,[],[f86,f78]) ).
thf(f106,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f90,f78,f101]) ).
thf(f109,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f93,f78,f74]) ).
thf(f110,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f94,f82]) ).
thf(f111,plain,
( icl_impl_princ
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f97,f78,f101]) ).
thf(f113,plain,
! [X0: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 ) ) ) ) ),
inference(definition_unfolding,[],[f96,f82,f101,f78,f78,f78]) ).
thf(f114,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] : Y0
@ b ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) ) ) ) ) ),
inference(definition_unfolding,[],[f98,f110,f106,f111,f87,f87,f106,f109,f87,f103,f109,f87,f103]) ).
thf(f115,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( a @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( b @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( a @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( b @ Y3 )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f115]) ).
thf(f117,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( a @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f117]) ).
thf(f119,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f122,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f120]) ).
thf(f123,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f120]) ).
thf(f124,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK1 @ X1 )
=> ( ~ ( a @ X1 )
| ( b @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ~ ( a @ X1 )
| ( b @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( b @ X1 ) )
| ( $true
= ( ~ ( a @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( b @ X1 ) )
| ( $false
= ( a @ X1 ) ) ),
inference(not_proxy_clausification,[],[f128]) ).
thf(f130,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( a @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f122]) ).
thf(f131,plain,
( $false
= ( ( rel @ sK1 @ sK2 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f130]) ).
thf(f132,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f133,plain,
( $true
= ( rel @ sK1 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f134,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f135,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f132]) ).
thf(f136,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f136]) ).
thf(f138,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK2 @ X1 )
=> ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) )
| ( $true
= ( a @ X1 ) ) ),
inference(or_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) )
@ X2 ) )
| ( $true
= ( a @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) )
| ( $true
= ( a @ X1 ) ) ),
inference(beta-eta_normalization,[],[f141]) ).
thf(f143,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( s @ X2 ) )
| ( $true
= ( a @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f142]) ).
thf(f144,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f134]) ).
thf(f145,plain,
( $false
= ( ( rel @ sK2 @ sK3 )
=> ( ( b @ sK3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
( $false
= ( ( b @ sK3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( $true
= ( rel @ sK2 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f145]) ).
thf(f148,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f146]) ).
thf(f149,plain,
( $false
= ( b @ sK3 ) ),
inference(or_proxy_clausification,[],[f146]) ).
thf(f150,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f148]) ).
thf(f151,plain,
( $false
= ( ( rel @ sK3 @ sK4 )
=> ( s @ sK4 ) ) ),
inference(beta-eta_normalization,[],[f150]) ).
thf(f152,plain,
( $false
= ( s @ sK4 ) ),
inference(imp_proxy_clausification,[],[f151]) ).
thf(f153,plain,
( $true
= ( rel @ sK3 @ sK4 ) ),
inference(imp_proxy_clausification,[],[f151]) ).
thf(f154,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f113]) ).
thf(f155,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f155]) ).
thf(f157,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f156]) ).
thf(f158,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f157]) ).
thf(f159,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK5 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f159]) ).
thf(f161,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ( rel @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) )
| ( $false
= ( ( rel @ X1 @ ( sK5 @ X1 @ X0 ) )
=> ( X0 @ ( sK5 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f160]) ).
thf(f162,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( ( rel @ X1 @ ( sK5 @ X1 @ X0 ) )
=> ( X0 @ ( sK5 @ X1 @ X0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f161]) ).
thf(f163,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f162]) ).
thf(f164,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f162]) ).
thf(f165,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f164]) ).
thf(f166,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f165]) ).
thf(f167,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( rel @ X1 @ ( sK5 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( X0 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f166]) ).
thf(f168,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f163]) ).
thf(f169,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f168]) ).
thf(f170,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK5 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X2 @ X3 ) )
| ( $true
= ( X0 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f169]) ).
thf(f197,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ sK3 ) )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(constrained_superposition,[],[f153,f143]) ).
thf(f204,plain,
( ( $false
= ( rel @ sK2 @ sK3 ) )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f197]) ).
thf(f209,plain,
( ( $false = $true )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f204,f147]) ).
thf(f210,plain,
( ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f213,plain,
( ( $false = $true )
| ( $true
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f210,f152]) ).
thf(f214,plain,
( $true
= ( a @ sK3 ) ),
inference(trivial_inequality_removal,[],[f213]) ).
thf(f3225,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK5 @ X0
@ ^ [Y0: $i] : ( Y0 != X1 ) )
= X1 )
| ( $false
= ( rel @ X0 @ X2 ) )
| ( $false
= ( rel @ X2 @ X1 ) ) ),
inference(leibniz_equality_elimination,[],[f170]) ).
thf(f7495,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false = $true )
| ( $true
= ( b @ ( sK5 @ sK1 @ X0 ) ) )
| ( $false
= ( a @ ( sK5 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f129,f167]) ).
thf(f7888,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( b @ ( sK5 @ sK1 @ X0 ) ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true )
| ( $false
= ( a @ ( sK5 @ sK1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f7495]) ).
thf(f16295,definition,
( spl7_41
<=> ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_41])],[avatar_definition]) ).
thf(f16296,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) )
| ~ spl7_41 ),
inference(avatar_component_clause,[],[f16295]) ).
thf(f16377,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl7_41 ),
inference(constrained_superposition,[],[f147,f16296]) ).
thf(f16463,plain,
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ~ spl7_41 ),
inference(trivial_inequality_removal,[],[f16377]) ).
thf(f16598,plain,
( ( $false = $true )
| ~ spl7_41 ),
inference(constrained_superposition,[],[f16463,f133]) ).
thf(f16689,plain,
( $false
| ~ spl7_41 ),
inference(trivial_inequality_removal,[],[f16598]) ).
thf(f16690,plain,
~ spl7_41,
inference(avatar_contradiction_clause,[],[f16689]) ).
thf(f165349,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X2 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(constrained_superposition,[],[f7888,f3225]) ).
thf(f165816,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( X2 != X0 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(beta-eta_normalization,[],[f165349]) ).
thf(f165817,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ X0 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X2 = X0 ) )
| ( $false
= ( a @ X0 ) )
| ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ X3 @ X0 ) ) ),
inference(not_proxy_clausification,[],[f165816]) ).
thf(f165818,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X3 ) )
| ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X3 @ X0 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( b @ X0 ) )
| ( $false
= ( a @ X0 ) )
| ( X0 != X2 ) ),
inference(equality_proxy_clausification,[],[f165817]) ).
thf(f166869,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(constrained_superposition,[],[f147,f165818]) ).
thf(f167438,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f166869]) ).
thf(f168515,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f167438,f133]) ).
thf(f168516,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $true
= ( b @ sK3 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f168515]) ).
thf(f168533,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f168516,f149]) ).
thf(f168534,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( a @ sK3 ) )
| ( sK3 != X1 ) ),
inference(trivial_inequality_removal,[],[f168533]) ).
thf(f168541,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ X0 ) )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( sK3 != X1 ) ),
inference(forward_demodulation,[],[f168534,f214]) ).
thf(f168542,plain,
! [X0: $i,X1: $i] :
( ( sK3 != X1 )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f168541]) ).
thf(f168545,plain,
! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK3 ) )
| ( $false
= ( rel @ sK1 @ X0 ) ) ),
inference(equality_resolution,[],[f168542]) ).
thf(f168546,plain,
spl7_41,
inference(avatar_split_clause,[],[f168545,f16295]) ).
cnf(s25,plain,
~ spl7_41,
inference(sat_conversion,[],[f16690]) ).
cnf(s56,plain,
spl7_41,
inference(sat_conversion,[],[f168546]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s25,s56]) ).
thf(f168547,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV431^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:09:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 5.70/1.11 % (1426442)Will run a generic schedule for satisfiability detection.
% 5.70/1.11 % (1426450)dis+10_1_sil=32000:sp=arity:random_seed=1659880624:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.70/1.11 % (1426448)% WARNING: option uhcvi not known.
% 5.70/1.11 % (1426449)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3914186401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.70/1.11 % (1426448)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2036677823:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.70/1.11 % (1426447)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2729168246_2999 on theBenchmark for (2999ds/0Mi)
% 5.70/1.11 % (1426448)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.70/1.11 % (1426448)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.70/1.11 % Exception at run slice level
% 5.70/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.70/1.11 % (1426451)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=546863485:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.70/1.11 % (1426451)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.70/1.11 % (1426450)Instruction limit reached!
% 5.70/1.11 % (1426450)------------------------------
% 5.70/1.11 % (1426450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.11 % (1426450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.11 % (1426450)CaDiCaL version: 2.1.3
% 5.70/1.11 % (1426450)Termination reason: Instruction limit
% 5.70/1.11 % (1426450)Termination phase: Saturation
% 5.70/1.11 % (1426450)Time elapsed: 0.028 s
% 5.70/1.11 % (1426450)Peak memory usage: 12 MB
% 5.70/1.11 % (1426450)Instructions burned: 106 (million)
% 5.70/1.11 % (1426458)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2604838799:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.70/1.11 % (1426452)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2636280064:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.70/1.11 % Exception at run slice level
% 5.70/1.11 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.70/1.11 % (1426453)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3773085777:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.70/1.11 % (1426460)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=63624121:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.70/1.11 % (1426463)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=1285834642:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.70/1.11 % (1426463)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.70/1.11 % (1426463)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.70/1.11 % (1426460)Instruction limit reached!
% 5.70/1.11 % (1426460)------------------------------
% 5.70/1.11 % (1426460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.11 % (1426460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.11 % (1426460)CaDiCaL version: 2.1.3
% 5.70/1.11 % (1426460)Termination reason: Instruction limit
% 5.70/1.11 % (1426460)Termination phase: Saturation
% 5.70/1.11 % (1426460)Time elapsed: 0.035 s
% 5.70/1.11 % (1426460)Peak memory usage: 12 MB
% 5.70/1.11 % (1426460)Instructions burned: 134 (million)
% 5.70/1.11 % (1426467)ott-21_1_sil=16000:fs=off:random_seed=3028201574:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.11 % (1426451)Instruction limit reached!
% 5.70/1.11 % (1426451)------------------------------
% 5.70/1.11 % (1426451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.11 % (1426451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.11 % (1426451)CaDiCaL version: 2.1.3
% 5.70/1.11 % (1426451)Termination reason: Instruction limit
% 5.70/1.11 % (1426451)Termination phase: Saturation
% 5.70/1.11 % (1426451)Time elapsed: 0.102 s
% 5.70/1.11 % (1426451)Peak memory usage: 13 MB
% 5.70/1.11 % (1426451)Instructions burned: 116 (million)
% 5.70/1.11 % (1426467)Instruction limit reached!
% 17.30/2.89 % (1426467)------------------------------
% 17.30/2.89 % (1426467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.30/2.89 % (1426467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/2.89 % (1426467)CaDiCaL version: 2.1.3
% 17.30/2.89 % (1426467)Termination reason: Instruction limit
% 17.30/2.89 % (1426467)Termination phase: Saturation
% 17.30/2.89 % (1426467)Time elapsed: 0.045 s
% 17.30/2.89 % (1426467)Peak memory usage: 12 MB
% 17.30/2.89 % (1426467)Instructions burned: 181 (million)
% 17.30/2.89 % (1426470)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2251603199:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.30/2.89 % Exception at run slice level
% 17.30/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.30/2.89 % (1426452)Instruction limit reached!
% 17.30/2.89 % (1426452)------------------------------
% 17.30/2.89 % (1426452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.30/2.89 % (1426452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/2.89 % (1426452)CaDiCaL version: 2.1.3
% 17.30/2.89 % (1426452)Termination reason: Instruction limit
% 17.30/2.89 % (1426452)Termination phase: Saturation
% 17.30/2.89 % (1426452)Time elapsed: 0.113 s
% 17.30/2.89 % (1426452)Peak memory usage: 12 MB
% 17.30/2.89 % (1426452)Instructions burned: 131 (million)
% 17.30/2.89 % (1426472)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2808935614:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.30/2.89 % (1426469)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2438293604:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.30/2.89 % (1426473)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4194795114:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.30/2.89 % Exception at run slice level
% 17.30/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.30/2.89 % (1426453)Instruction limit reached!
% 17.30/2.89 % (1426453)------------------------------
% 17.30/2.89 % (1426453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.30/2.89 % (1426453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/2.89 % (1426453)CaDiCaL version: 2.1.3
% 17.30/2.89 % (1426453)Termination reason: Instruction limit
% 17.30/2.89 % (1426453)Termination phase: Saturation
% 17.30/2.89 % (1426453)Time elapsed: 0.140 s
% 17.30/2.89 % (1426453)Peak memory usage: 12 MB
% 17.30/2.89 % (1426453)Instructions burned: 159 (million)
% 17.30/2.89 % (1426477)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=1529355289: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)
% 17.30/2.89 % (1426477)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.30/2.89 % (1426478)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1891160947:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.30/2.89 % (1426478)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.30/2.89 % (1426463)Instruction limit reached!
% 17.30/2.89 % (1426463)------------------------------
% 17.30/2.89 % (1426463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.30/2.89 % (1426463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.30/2.89 % (1426463)CaDiCaL version: 2.1.3
% 17.30/2.89 % (1426463)Termination reason: Instruction limit
% 17.30/2.89 % (1426463)Termination phase: Saturation
% 17.30/2.89 % (1426463)Time elapsed: 0.313 s
% 17.30/2.89 % (1426463)Peak memory usage: 15 MB
% 17.30/2.89 % (1426463)Instructions burned: 685 (million)
% 17.30/2.89 % (1426481)fmb+10_1_sil=64000:random_seed=1386693249:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.30/2.89 % (1426481)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.30/2.89 % Exception at run slice level
% 17.30/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.30/2.89 % (1426483)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1456588270:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 17.30/2.89 % Exception at run slice level
% 17.30/2.89 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.90/7.78 % (1426485)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1851293597:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 52.90/7.78 % Exception at run slice level
% 52.90/7.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.90/7.78 % (1426472)Instruction limit reached!
% 52.90/7.78 % (1426472)------------------------------
% 52.90/7.78 % (1426472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.90/7.78 % (1426472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.90/7.78 % (1426472)CaDiCaL version: 2.1.3
% 52.90/7.78 % (1426472)Termination reason: Instruction limit
% 52.90/7.78 % (1426472)Termination phase: Saturation
% 52.90/7.78 % (1426472)Time elapsed: 0.286 s
% 52.90/7.78 % (1426472)Peak memory usage: 15 MB
% 52.90/7.78 % (1426472)Instructions burned: 1179 (million)
% 52.90/7.78 % (1426488)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1800092491:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 52.90/7.78 % (1426487)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2654873201:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 52.90/7.78 % (1426488)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 52.90/7.78 % (1426488)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 52.90/7.78 % (1426487)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 52.90/7.78 % (1426469)Instruction limit reached!
% 52.90/7.78 % (1426469)------------------------------
% 52.90/7.78 % (1426469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.90/7.78 % (1426469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.90/7.78 % (1426469)CaDiCaL version: 2.1.3
% 52.90/7.78 % (1426469)Termination reason: Instruction limit
% 52.90/7.78 % (1426469)Termination phase: Saturation
% 52.90/7.78 % (1426469)Time elapsed: 0.417 s
% 52.90/7.78 % (1426469)Peak memory usage: 14 MB
% 52.90/7.78 % (1426469)Instructions burned: 477 (million)
% 52.90/7.78 % (1426491)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2367391429:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 52.90/7.78 % Exception at run slice level
% 52.90/7.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.90/7.78 % (1426493)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1922529689:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 52.90/7.78 % Exception at run slice level
% 52.90/7.78 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 52.90/7.78 % (1426495)ott-2_1_sil=16000:newcnf=on:random_seed=1495524508:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 52.90/7.78 % (1426495)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 52.90/7.78 % (1426477)Instruction limit reached!
% 52.90/7.78 % (1426477)------------------------------
% 52.90/7.78 % (1426477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.90/7.78 % (1426477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.90/7.78 % (1426477)CaDiCaL version: 2.1.3
% 52.90/7.78 % (1426477)Termination reason: Instruction limit
% 52.90/7.78 % (1426477)Termination phase: Saturation
% 52.90/7.78 % (1426477)Time elapsed: 0.621 s
% 52.90/7.78 % (1426477)Peak memory usage: 18 MB
% 52.90/7.78 % (1426477)Instructions burned: 692 (million)
% 52.90/7.78 % (1426497)ott+10_1_sil=32000:tgt=ground:random_seed=3822361001:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 52.90/7.78 % (1426488)Instruction limit reached!
% 52.90/7.78 % (1426488)------------------------------
% 52.90/7.78 % (1426488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.90/7.78 % (1426488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.90/7.78 % (1426488)CaDiCaL version: 2.1.3
% 52.90/7.78 % (1426488)Termination reason: Instruction limit
% 52.90/7.78 % (1426488)Termination phase: Saturation
% 52.90/7.78 % (1426488)Time elapsed: 0.396 s
% 52.90/7.78 % (1426488)Peak memory usage: 19 MB
% 52.90/7.78 % (1426488)Instructions burned: 1474 (million)
% 52.90/7.78 % (1426499)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1347218669:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 52.90/7.78 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426501)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=841489441:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 86.82/14.17 % (1426501)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.82/14.17 % (1426478)Instruction limit reached!
% 86.82/14.17 % (1426478)------------------------------
% 86.82/14.17 % (1426478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426478)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426478)Termination reason: Instruction limit
% 86.82/14.17 % (1426478)Termination phase: Saturation
% 86.82/14.17 % (1426478)Time elapsed: 0.753 s
% 86.82/14.17 % (1426478)Peak memory usage: 15 MB
% 86.82/14.17 % (1426478)Instructions burned: 880 (million)
% 86.82/14.17 % (1426503)dis+21_1_sil=32000:sas=cadical:random_seed=2150485270:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 86.82/14.17 % (1426495)Instruction limit reached!
% 86.82/14.17 % (1426495)------------------------------
% 86.82/14.17 % (1426495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426495)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426495)Termination reason: Instruction limit
% 86.82/14.17 % (1426495)Termination phase: Saturation
% 86.82/14.17 % (1426495)Time elapsed: 0.569 s
% 86.82/14.17 % (1426495)Peak memory usage: 15 MB
% 86.82/14.17 % (1426495)Instructions burned: 871 (million)
% 86.82/14.17 % (1426505)ott+11_1_sil=16000:gs=on:random_seed=2407808207:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 86.82/14.17 % (1426505)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.82/14.17 % (1426501)Instruction limit reached!
% 86.82/14.17 % (1426501)------------------------------
% 86.82/14.17 % (1426501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426501)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426501)Termination reason: Instruction limit
% 86.82/14.17 % (1426501)Termination phase: Saturation
% 86.82/14.17 % (1426501)Time elapsed: 1.115 s
% 86.82/14.17 % (1426501)Peak memory usage: 18 MB
% 86.82/14.17 % (1426501)Instructions burned: 3513 (million)
% 86.82/14.17 % (1426507)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=730346956:fmbsr=1.6:i=67534_2979 on theBenchmark for (2979ds/67534Mi)
% 86.82/14.17 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426509)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2660949094:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2979 on theBenchmark for (2979ds/4591Mi)
% 86.82/14.17 % (1426505)Instruction limit reached!
% 86.82/14.17 % (1426505)------------------------------
% 86.82/14.17 % (1426505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426505)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426505)Termination reason: Instruction limit
% 86.82/14.17 % (1426505)Termination phase: Saturation
% 86.82/14.17 % (1426505)Time elapsed: 1.005 s
% 86.82/14.17 % (1426505)Peak memory usage: 16 MB
% 86.82/14.17 % (1426505)Instructions burned: 2253 (million)
% 86.82/14.17 % (1426511)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2843906109:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 86.82/14.17 % (1426487)Instruction limit reached!
% 86.82/14.17 % (1426487)------------------------------
% 86.82/14.17 % (1426487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426487)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426487)Termination reason: Instruction limit
% 86.82/14.17 % (1426487)Termination phase: Saturation
% 86.82/14.17 % (1426487)Time elapsed: 2.174 s
% 86.82/14.17 % (1426487)Peak memory usage: 20 MB
% 86.82/14.17 % (1426487)Instructions burned: 5133 (million)
% 86.82/14.17 % (1426513)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1062325820:i=5211_2973 on theBenchmark for (2973ds/5211Mi)
% 86.82/14.17 % (1426509)Instruction limit reached!
% 86.82/14.17 % (1426509)------------------------------
% 86.82/14.17 % (1426509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426509)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426509)Termination reason: Instruction limit
% 86.82/14.17 % (1426509)Termination phase: Saturation
% 86.82/14.17 % (1426509)Time elapsed: 1.495 s
% 86.82/14.17 % (1426509)Peak memory usage: 18 MB
% 86.82/14.17 % (1426509)Instructions burned: 4593 (million)
% 86.82/14.17 % (1426515)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1911733356:i=5497:nm=2_2964 on theBenchmark for (2964ds/5497Mi)
% 86.82/14.17 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426517)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3877646861:fmbsr=2:i=46332_2964 on theBenchmark for (2964ds/46332Mi)
% 86.82/14.17 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426519)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4080076166:i=14071_2963 on theBenchmark for (2963ds/14071Mi)
% 86.82/14.17 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426521)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=976501206:i=22565:add=on:rawr=on_2963 on theBenchmark for (2963ds/22565Mi)
% 86.82/14.17 % (1426503)Instruction limit reached!
% 86.82/14.17 % (1426503)------------------------------
% 86.82/14.17 % (1426503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426503)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426503)Termination reason: Instruction limit
% 86.82/14.17 % (1426503)Termination phase: Saturation
% 86.82/14.17 % (1426503)Time elapsed: 2.833 s
% 86.82/14.17 % (1426503)Peak memory usage: 19 MB
% 86.82/14.17 % (1426503)Instructions burned: 3774 (million)
% 86.82/14.17 % (1426523)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2426587350:i=8173:av=off_2961 on theBenchmark for (2961ds/8173Mi)
% 86.82/14.17 % (1426497)Instruction limit reached!
% 86.82/14.17 % (1426497)------------------------------
% 86.82/14.17 % (1426497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426497)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426497)Termination reason: Instruction limit
% 86.82/14.17 % (1426497)Termination phase: Saturation
% 86.82/14.17 % (1426497)Time elapsed: 3.104 s
% 86.82/14.17 % (1426497)Peak memory usage: 23 MB
% 86.82/14.17 % (1426497)Instructions burned: 5114 (million)
% 86.82/14.17 % (1426525)dis+10_16:1_sil=16000:random_seed=752710939:i=9155:fsr=off_2960 on theBenchmark for (2960ds/9155Mi)
% 86.82/14.17 % (1426513)Instruction limit reached!
% 86.82/14.17 % (1426513)------------------------------
% 86.82/14.17 % (1426513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426513)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426513)Termination reason: Instruction limit
% 86.82/14.17 % (1426513)Termination phase: Saturation
% 86.82/14.17 % (1426513)Time elapsed: 4.072 s
% 86.82/14.17 % (1426513)Peak memory usage: 31 MB
% 86.82/14.17 % (1426513)Instructions burned: 5213 (million)
% 86.82/14.17 % (1426529)ott-3_8_sil=64000:random_seed=3009267485:i=20139:bs=on_2932 on theBenchmark for (2932ds/20139Mi)
% 86.82/14.17 % (1426523)Instruction limit reached!
% 86.82/14.17 % (1426523)------------------------------
% 86.82/14.17 % (1426523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426523)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426523)Termination reason: Instruction limit
% 86.82/14.17 % (1426523)Termination phase: Saturation
% 86.82/14.17 % (1426523)Time elapsed: 3.652 s
% 86.82/14.17 % (1426523)Peak memory usage: 30 MB
% 86.82/14.17 % (1426523)Instructions burned: 8175 (million)
% 86.82/14.17 % (1426688)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3742178482:fmbsr=2:i=32576_2924 on theBenchmark for (2924ds/32576Mi)
% 86.82/14.17 % Exception at run slice level
% 86.82/14.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.82/14.17 % (1426690)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1647094782:i=11404_2924 on theBenchmark for (2924ds/11404Mi)
% 86.82/14.17 % (1426525)Instruction limit reached!
% 86.82/14.17 % (1426525)------------------------------
% 86.82/14.17 % (1426525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426525)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426525)Termination reason: Instruction limit
% 86.82/14.17 % (1426525)Termination phase: Saturation
% 86.82/14.17 % (1426525)Time elapsed: 3.878 s
% 86.82/14.17 % (1426525)Peak memory usage: 25 MB
% 86.82/14.17 % (1426525)Instructions burned: 9157 (million)
% 86.82/14.17 % (1426692)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1720085956:i=14134_2921 on theBenchmark for (2921ds/14134Mi)
% 86.82/14.17 % (1426692)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.82/14.17 % (1426521)Instruction limit reached!
% 86.82/14.17 % (1426521)------------------------------
% 86.82/14.17 % (1426521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426521)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426521)Termination reason: Instruction limit
% 86.82/14.17 % (1426521)Termination phase: Saturation
% 86.82/14.17 % (1426521)Time elapsed: 5.911 s
% 86.82/14.17 % (1426521)Peak memory usage: 69 MB
% 86.82/14.17 % (1426521)Instructions burned: 22569 (million)
% 86.82/14.17 % (1426694)dis+33_16_sil=32000:sac=on:random_seed=1583055756:i=15851:nm=0_2904 on theBenchmark for (2904ds/15851Mi)
% 86.82/14.17 % (1426690)Instruction limit reached!
% 86.82/14.17 % (1426690)------------------------------
% 86.82/14.17 % (1426690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426690)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426690)Termination reason: Instruction limit
% 86.82/14.17 % (1426690)Termination phase: Saturation
% 86.82/14.17 % (1426690)Time elapsed: 5.062 s
% 86.82/14.17 % (1426690)Peak memory usage: 36 MB
% 86.82/14.17 % (1426690)Instructions burned: 11404 (million)
% 86.82/14.17 % (1426696)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=517122593:avsq=on:i=17627:add=on:amm=off_2873 on theBenchmark for (2873ds/17627Mi)
% 86.82/14.17 % (1426694)Instruction limit reached!
% 86.82/14.17 % (1426694)------------------------------
% 86.82/14.17 % (1426694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426694)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426694)Termination reason: Instruction limit
% 86.82/14.17 % (1426694)Termination phase: Saturation
% 86.82/14.17 % (1426694)Time elapsed: 3.628 s
% 86.82/14.17 % (1426694)Peak memory usage: 37 MB
% 86.82/14.17 % (1426694)Instructions burned: 15855 (million)
% 86.82/14.17 % (1426698)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2354771952:s2a=on:i=53295_2867 on theBenchmark for (2867ds/53295Mi)
% 86.82/14.17 % (1426511) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1426442-1426511"...
% 86.82/14.17 % (1426511)...printing done.
% 86.82/14.17 % (1426511)Refutation found. Thanks to Tanya!
% 86.82/14.17 % SZS status Theorem for theBenchmark
% 86.82/14.17 % SZS output start Proof for theBenchmark
% See solution above
% 86.82/14.17 % (1426511)------------------------------
% 86.82/14.17 % (1426511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.82/14.17 % (1426511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.82/14.17 % (1426511)CaDiCaL version: 2.1.3
% 86.82/14.17 % (1426511)Termination reason: Refutation
% 86.82/14.17 % (1426511)Time elapsed: 11.629 s
% 86.82/14.17 % (1426511)Peak memory usage: 55 MB
% 86.82/14.17 % (1426511)Instructions burned: 26646 (million)
% 86.82/14.17 % (1426442)Success in time 13.947 s
% 86.82/14.17 % Vampire exiting
%------------------------------------------------------------------------------