%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV426^4 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 08:40:04 AM UTC 2026
% Result : Theorem 14.98s 2.43s
% Output : Refutation 14.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 158 ( 86 unt; 0 typ; 2 def)
% Number of atoms : 1487 ( 276 equ; 0 cnn)
% Maximal formula atoms : 21 ( 9 avg)
% Number of connectives : 2049 ( 83 ~; 238 |; 0 &;1416 @)
% ( 2 <=>; 168 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 191 ( 191 >; 0 *; 0 +; 0 <<)
% Number of symbols : 61 ( 57 usr; 10 con; 0-4 aty)
% ( 142 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 496 ( 0 sgn 133 !; 0 ?; 496 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
rel: $i > $i > $o ).
thf(func_def_21,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
icl_true: $i > $o ).
thf(func_def_27,type,
icl_false: $i > $o ).
thf(func_def_28,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_29,type,
iclval: ( $i > $o ) > $o ).
thf(func_def_30,type,
s: $i > $o ).
thf(func_def_31,type,
a: $i > $o ).
thf(func_def_32,type,
b: $i > $o ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vOR: $o > $o > $o ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_43,type,
vIMP: $o > $o > $o ).
thf(func_def_44,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_52,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_54,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_55,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_56,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_57,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK11: $i > ( $i > $i > $o ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( icl_atom
= ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( icl_princ
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f23,axiom,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV008^1.ax',trans_axiom) ).
thf(f27,conjecture,
iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cuc) ).
thf(f28,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
thf(f31,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f32,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f33,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f34,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f37,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f39,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f40,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f47,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f48,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f47]) ).
thf(f55,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f56,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f59,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f60,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f61,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f64,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
inference(rectify,[],[f26]) ).
thf(f65,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f64]) ).
thf(f66,plain,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f67,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f66]) ).
thf(f68,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(flattening,[],[f67]) ).
thf(f71,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f72,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f74,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f76,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f80,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f48]) ).
thf(f84,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f85,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f88,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f91,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f92,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f61]) ).
thf(f94,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f65]) ).
thf(f95,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f98,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f74,f72,f71]) ).
thf(f100,plain,
( icl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 ) ) ),
inference(definition_unfolding,[],[f84,f76]) ).
thf(f103,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f88,f76,f98]) ).
thf(f106,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f91,f76,f72]) ).
thf(f107,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f92,f80]) ).
thf(f109,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,[],[f94,f80,f98,f76,f76,f76]) ).
thf(f110,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o,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 > $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 > $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,[],[f95,f107,f103,f106,f103,f85,f85,f100,f103,f106,f85,f100,f106,f85,f100]) ).
thf(f111,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( a @ Y3 )
| ( b @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( !! @ $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,[],[f110]) ).
thf(f112,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ~ ( a @ Y3 )
| ( b @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( !! @ $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,[],[f111]) ).
thf(f113,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $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,[],[f112]) ).
thf(f114,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK0 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ~ ( a @ Y2 )
| ( b @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( !! @ $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,[],[f113]) ).
thf(f115,plain,
( $false
= ( ( rel @ sK0 @ sK1 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( !! @ $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,[],[f114]) ).
thf(f116,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( !! @ $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,[],[f115]) ).
thf(f118,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,[],[f116]) ).
thf(f119,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f116]) ).
thf(f120,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f119]) ).
thf(f121,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ~ ( a @ Y1 )
| ( b @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f120]) ).
thf(f122,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK1 @ X1 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f123,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f122]) ).
thf(f124,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) )
@ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) )
@ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ~ ( a @ Y0 )
| ( b @ Y0 ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f125]) ).
thf(f127,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $true
= ( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) )
| ( $true
= ( ( rel @ X1 @ X3 )
=> ( ~ ( a @ X3 )
| ( b @ X3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f128,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( rel @ X1 @ X3 )
=> ( ~ ( a @ X3 )
| ( b @ X3 ) ) ) )
| ( $true
= ( s @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X1 @ X3 ) )
| ( $true
= ( s @ X2 ) )
| ( $true
= ( ~ ( a @ X3 )
| ( b @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f128]) ).
thf(f130,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ X1 @ X3 ) )
| ( $true
= ( s @ X2 ) )
| ( $true
= ( b @ X3 ) )
| ( $true
= ( ~ ( a @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f129]) ).
thf(f131,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ sK1 @ X1 ) )
| ( $false
= ( rel @ X1 @ X3 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( b @ X3 ) )
| ( $true
= ( s @ X2 ) )
| ( $false
= ( a @ X3 ) ) ),
inference(not_proxy_clausification,[],[f130]) ).
thf(f132,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,[],[f118]) ).
thf(f133,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,[],[f132]) ).
thf(f134,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,[],[f133]) ).
thf(f135,plain,
( $true
= ( rel @ sK1 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f133]) ).
thf(f136,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f134]) ).
thf(f137,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f134]) ).
thf(f138,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( a @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f138]) ).
thf(f140,plain,
! [X1: $i] :
( $true
= ( ( rel @ sK2 @ X1 )
=> ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ( a @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) ) )
| ( $true
= ( a @ X1 ) ) ),
inference(or_proxy_clausification,[],[f141]) ).
thf(f143,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,[],[f142]) ).
thf(f144,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $true
= ( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) )
| ( $true
= ( a @ X1 ) ) ),
inference(beta-eta_normalization,[],[f143]) ).
thf(f145,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( s @ X2 ) )
| ( $true
= ( a @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f136]) ).
thf(f147,plain,
( $false
= ( ( rel @ sK2 @ sK3 )
=> ( ( b @ sK3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
( $false
= ( ( b @ sK3 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
( $true
= ( rel @ sK2 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f150,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f148]) ).
thf(f151,plain,
( $false
= ( b @ sK3 ) ),
inference(or_proxy_clausification,[],[f148]) ).
thf(f152,plain,
( $false
= ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( s @ Y0 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f150]) ).
thf(f153,plain,
( $false
= ( ( rel @ sK3 @ sK4 )
=> ( s @ sK4 ) ) ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f154,plain,
( $false
= ( s @ sK4 ) ),
inference(imp_proxy_clausification,[],[f153]) ).
thf(f155,plain,
( $true
= ( rel @ sK3 @ sK4 ) ),
inference(imp_proxy_clausification,[],[f153]) ).
thf(f156,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,[],[f109]) ).
thf(f157,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,[],[f156]) ).
thf(f158,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,[],[f157]) ).
thf(f159,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,[],[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 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f159]) ).
thf(f161,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,[],[f160]) ).
thf(f162,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,[],[f161]) ).
thf(f163,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,[],[f162]) ).
thf(f164,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,[],[f163]) ).
thf(f165,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,[],[f164]) ).
thf(f166,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,[],[f164]) ).
thf(f167,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,[],[f166]) ).
thf(f168,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,[],[f167]) ).
thf(f169,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,[],[f168]) ).
thf(f170,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,[],[f165]) ).
thf(f171,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,[],[f170]) ).
thf(f172,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,[],[f171]) ).
thf(f186,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ sK3 ) )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(constrained_superposition,[],[f155,f145]) ).
thf(f193,plain,
( ( $false
= ( rel @ sK2 @ sK3 ) )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f198,plain,
( ( $false = $true )
| ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f193,f149]) ).
thf(f199,plain,
( ( $true
= ( s @ sK4 ) )
| ( $true
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f202,plain,
( ( $false = $true )
| ( $true
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f199,f154]) ).
thf(f203,plain,
( $true
= ( a @ sK3 ) ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f263,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( b @ sK3 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(constrained_superposition,[],[f149,f131]) ).
thf(f288,plain,
! [X0: $i] :
( ( $false
= ( rel @ sK1 @ sK2 ) )
| ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( b @ sK3 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f307,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( b @ sK3 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f288,f135]) ).
thf(f308,plain,
! [X0: $i] :
( ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( b @ sK3 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f317,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(forward_demodulation,[],[f308,f151]) ).
thf(f318,plain,
! [X0: $i] :
( ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( s @ X0 ) )
| ( $false
= ( a @ sK3 ) ) ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f321,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( s @ X0 ) ) ),
inference(forward_demodulation,[],[f318,f203]) ).
thf(f322,plain,
! [X0: $i] :
( ( $false
= ( rel @ sK2 @ X0 ) )
| ( $true
= ( s @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f321]) ).
thf(f4200,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sK5 @ X1
@ ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( rel @ X2 @ X0 ) )
| ( sK4 != X0 ) ),
inference(constrained_superposition,[],[f154,f172]) ).
thf(f4270,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sK5 @ X1
@ ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( rel @ X2 @ X0 ) )
| ( sK4 != X0 ) ),
inference(trivial_inequality_removal,[],[f4200]) ).
thf(f4271,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( sK4 != X0 )
| ( $false
= ( s @ ( sK5 @ X1 @ s ) ) )
| ( $false
= ( rel @ X2 @ X0 ) )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f4270]) ).
thf(f4924,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( s @ ( sK5 @ X0 @ s ) ) )
| ( $false
= ( rel @ X1 @ sK4 ) )
| ( $false
= ( rel @ X0 @ X1 ) ) ),
inference(equality_resolution,[],[f4271]) ).
thf(f5355,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $false = $true )
| ( $true
= ( s @ ( sK5 @ sK2 @ X0 ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f322,f169]) ).
thf(f5651,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( s @ ( sK5 @ sK2 @ X0 ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f5355]) ).
thf(f6060,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $true
= ( s
@ ( sK5 @ sK2
@ ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X0 ) )
| ( sK4 != X0 ) ),
inference(constrained_superposition,[],[f154,f5651]) ).
thf(f6119,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( s
@ ( sK5 @ sK2
@ ^ [Y0: $i] :
( s
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X0 ) )
| ( sK4 != X0 ) ),
inference(trivial_inequality_removal,[],[f6060]) ).
thf(f6120,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( s @ ( sK5 @ sK2 @ s ) ) )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X0 ) )
| ( sK4 != X0 ) ),
inference(beta-eta_normalization,[],[f6119]) ).
thf(f6657,definition,
( spl7_36
<=> ! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK2 @ X1 ) )
| ( sK4 != X0 )
| ( $false
= ( rel @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_36])],[avatar_definition]) ).
thf(f6658,plain,
( ! [X0: $i,X1: $i] :
( ( sK4 != X0 )
| ( $false
= ( rel @ sK2 @ X1 ) )
| ( $false
= ( rel @ X1 @ X0 ) ) )
| ~ spl7_36 ),
inference(avatar_component_clause,[],[f6657]) ).
thf(f6660,definition,
( spl7_37
<=> ( $true
= ( s @ ( sK5 @ sK2 @ s ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_37])],[avatar_definition]) ).
thf(f6662,plain,
( ( $true
= ( s @ ( sK5 @ sK2 @ s ) ) )
| ~ spl7_37 ),
inference(avatar_component_clause,[],[f6660]) ).
thf(f6663,plain,
( spl7_36
| spl7_37 ),
inference(avatar_split_clause,[],[f6120,f6660,f6657]) ).
thf(f6664,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ sK2 @ X0 ) )
| ( $false
= ( rel @ X0 @ sK4 ) ) )
| ~ spl7_36 ),
inference(equality_resolution,[],[f6658]) ).
thf(f6704,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ sK3 ) )
| ~ spl7_36 ),
inference(constrained_superposition,[],[f155,f6664]) ).
thf(f6705,plain,
( ( $false
= ( rel @ sK2 @ sK3 ) )
| ~ spl7_36 ),
inference(trivial_inequality_removal,[],[f6704]) ).
thf(f6790,plain,
( ( $false = $true )
| ~ spl7_36 ),
inference(constrained_superposition,[],[f6705,f149]) ).
thf(f6823,plain,
( $false
| ~ spl7_36 ),
inference(trivial_inequality_removal,[],[f6790]) ).
thf(f6824,plain,
~ spl7_36,
inference(avatar_contradiction_clause,[],[f6823]) ).
thf(f6850,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $false
= ( rel @ X0 @ sK4 ) )
| ( $false
= ( rel @ sK2 @ X0 ) ) )
| ~ spl7_37 ),
inference(constrained_superposition,[],[f4924,f6662]) ).
thf(f6851,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK4 ) )
| ( $false
= ( rel @ sK2 @ X0 ) ) )
| ~ spl7_37 ),
inference(trivial_inequality_removal,[],[f6850]) ).
thf(f6895,plain,
( ( $false = $true )
| ( $false
= ( rel @ sK2 @ sK3 ) )
| ~ spl7_37 ),
inference(constrained_superposition,[],[f155,f6851]) ).
thf(f6923,plain,
( ( $false
= ( rel @ sK2 @ sK3 ) )
| ~ spl7_37 ),
inference(trivial_inequality_removal,[],[f6895]) ).
thf(f6990,plain,
( ( $false = $true )
| ~ spl7_37 ),
inference(constrained_superposition,[],[f6923,f149]) ).
thf(f7023,plain,
( $false
| ~ spl7_37 ),
inference(trivial_inequality_removal,[],[f6990]) ).
thf(f7024,plain,
~ spl7_37,
inference(avatar_contradiction_clause,[],[f7023]) ).
cnf(s20,plain,
( spl7_36
| spl7_37 ),
inference(sat_conversion,[],[f6663]) ).
cnf(s22,plain,
~ spl7_36,
inference(sat_conversion,[],[f6824]) ).
cnf(s24,plain,
~ spl7_37,
inference(sat_conversion,[],[f7024]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s20,s24,s22]) ).
thf(f7043,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV426^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:01:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.87/0.94 % (967603)Will run a generic schedule for satisfiability detection.
% 3.87/0.94 % (967612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3828845100:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.87/0.94 % (967612)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.87/0.94 % (967609)% WARNING: option uhcvi not known.
% 3.87/0.94 % (967608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=614699993_2999 on theBenchmark for (2999ds/0Mi)
% 3.87/0.94 % (967609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=961645560:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.87/0.94 % (967610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2468899260:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.87/0.94 % (967611)dis+10_1_sil=32000:sp=arity:random_seed=347632209:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.87/0.94 % (967613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1567602090:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.87/0.94 % (967614)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2613363061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.87/0.94 % (967609)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.87/0.94 % Exception at run slice level
% 3.87/0.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.87/0.94 % (967609)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.87/0.94 % (967622)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1087573036:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.87/0.94 % (967612)Instruction limit reached!
% 3.87/0.94 % (967612)------------------------------
% 3.87/0.94 % (967612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.94 % (967612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.94 % (967612)CaDiCaL version: 2.1.3
% 3.87/0.94 % (967612)Termination reason: Instruction limit
% 3.87/0.94 % (967612)Termination phase: Saturation
% 3.87/0.94 % (967612)Time elapsed: 0.031 s
% 3.87/0.94 % (967612)Peak memory usage: 13 MB
% 3.87/0.94 % (967612)Instructions burned: 119 (million)
% 3.87/0.94 % Exception at run slice level
% 3.87/0.94 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.87/0.94 % (967624)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1999686113:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.87/0.94 % (967625)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=2380596593:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.87/0.94 % (967625)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.87/0.94 % (967625)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.87/0.94 % (967611)Instruction limit reached!
% 3.87/0.94 % (967611)------------------------------
% 3.87/0.94 % (967611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.94 % (967611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.94 % (967611)CaDiCaL version: 2.1.3
% 3.87/0.94 % (967611)Termination reason: Instruction limit
% 3.87/0.94 % (967611)Termination phase: Saturation
% 3.87/0.94 % (967611)Time elapsed: 0.051 s
% 3.87/0.94 % (967611)Peak memory usage: 12 MB
% 3.87/0.94 % (967611)Instructions burned: 104 (million)
% 3.87/0.94 % (967613)Instruction limit reached!
% 3.87/0.94 % (967613)------------------------------
% 3.87/0.94 % (967613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.94 % (967613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.94 % (967613)CaDiCaL version: 2.1.3
% 3.87/0.94 % (967613)Termination reason: Instruction limit
% 3.87/0.94 % (967613)Termination phase: Saturation
% 3.87/0.94 % (967613)Time elapsed: 0.064 s
% 3.87/0.94 % (967613)Peak memory usage: 13 MB
% 3.87/0.94 % (967613)Instructions burned: 131 (million)
% 3.87/0.94 % (967624)Instruction limit reached!
% 3.87/0.94 % (967624)------------------------------
% 3.87/0.94 % (967624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.94 % (967624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967624)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967624)Termination reason: Instruction limit
% 14.98/2.43 % (967624)Termination phase: Saturation
% 14.98/2.43 % (967624)Time elapsed: 0.034 s
% 14.98/2.43 % (967624)Peak memory usage: 12 MB
% 14.98/2.43 % (967624)Instructions burned: 134 (million)
% 14.98/2.43 % (967628)ott-21_1_sil=16000:fs=off:random_seed=4051405123:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 14.98/2.43 % (967614)Instruction limit reached!
% 14.98/2.43 % (967614)------------------------------
% 14.98/2.43 % (967614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967614)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967614)Termination reason: Instruction limit
% 14.98/2.43 % (967614)Termination phase: Saturation
% 14.98/2.43 % (967614)Time elapsed: 0.078 s
% 14.98/2.43 % (967614)Peak memory usage: 13 MB
% 14.98/2.43 % (967614)Instructions burned: 159 (million)
% 14.98/2.43 % (967630)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=449789085:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967629)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2165912349:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 14.98/2.43 % (967634)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2956300987:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967633)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=124611968:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 14.98/2.43 % (967637)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=101554755: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)
% 14.98/2.43 % (967637)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.98/2.43 % (967628)Instruction limit reached!
% 14.98/2.43 % (967628)------------------------------
% 14.98/2.43 % (967628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967628)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967628)Termination reason: Instruction limit
% 14.98/2.43 % (967628)Termination phase: Saturation
% 14.98/2.43 % (967628)Time elapsed: 0.085 s
% 14.98/2.43 % (967628)Peak memory usage: 12 MB
% 14.98/2.43 % (967628)Instructions burned: 181 (million)
% 14.98/2.43 % (967640)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3717957998:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 14.98/2.43 % (967640)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.98/2.43 % (967637)Instruction limit reached!
% 14.98/2.43 % (967637)------------------------------
% 14.98/2.43 % (967637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967637)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967637)Termination reason: Instruction limit
% 14.98/2.43 % (967637)Termination phase: Saturation
% 14.98/2.43 % (967637)Time elapsed: 0.188 s
% 14.98/2.43 % (967637)Peak memory usage: 18 MB
% 14.98/2.43 % (967637)Instructions burned: 694 (million)
% 14.98/2.43 % (967642)fmb+10_1_sil=64000:random_seed=499038568:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 14.98/2.43 % (967642)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967644)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3495096470:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967629)Instruction limit reached!
% 14.98/2.43 % (967629)------------------------------
% 14.98/2.43 % (967629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967629)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967629)Termination reason: Instruction limit
% 14.98/2.43 % (967629)Termination phase: Saturation
% 14.98/2.43 % (967629)Time elapsed: 0.233 s
% 14.98/2.43 % (967629)Peak memory usage: 14 MB
% 14.98/2.43 % (967629)Instructions burned: 477 (million)
% 14.98/2.43 % (967646)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3905184183:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967647)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2520377:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 14.98/2.43 % (967649)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3742481915:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 14.98/2.43 % (967647)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.98/2.43 % (967649)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 14.98/2.43 % (967649)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.98/2.43 % (967625)Instruction limit reached!
% 14.98/2.43 % (967625)------------------------------
% 14.98/2.43 % (967625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967625)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967625)Termination reason: Instruction limit
% 14.98/2.43 % (967625)Termination phase: Saturation
% 14.98/2.43 % (967625)Time elapsed: 0.315 s
% 14.98/2.43 % (967625)Peak memory usage: 15 MB
% 14.98/2.43 % (967625)Instructions burned: 684 (million)
% 14.98/2.43 % (967652)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=374967838:i=6324_2996 on theBenchmark for (2996ds/6324Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967654)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3581935307:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967656)ott-2_1_sil=16000:newcnf=on:random_seed=3502233866:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 14.98/2.43 % (967656)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 14.98/2.43 % (967640)Instruction limit reached!
% 14.98/2.43 % (967640)------------------------------
% 14.98/2.43 % (967640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967640)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967640)Termination reason: Instruction limit
% 14.98/2.43 % (967640)Termination phase: Saturation
% 14.98/2.43 % (967640)Time elapsed: 0.429 s
% 14.98/2.43 % (967640)Peak memory usage: 15 MB
% 14.98/2.43 % (967640)Instructions burned: 881 (million)
% 14.98/2.43 % (967658)ott+10_1_sil=32000:tgt=ground:random_seed=2610953267:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 14.98/2.43 % (967633)Instruction limit reached!
% 14.98/2.43 % (967633)------------------------------
% 14.98/2.43 % (967633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967633)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967633)Termination reason: Instruction limit
% 14.98/2.43 % (967633)Termination phase: Saturation
% 14.98/2.43 % (967633)Time elapsed: 0.531 s
% 14.98/2.43 % (967633)Peak memory usage: 16 MB
% 14.98/2.43 % (967633)Instructions burned: 1180 (million)
% 14.98/2.43 % (967660)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2502706778:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967662)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4115513082:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 14.98/2.43 % (967662)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.98/2.43 % (967649)Instruction limit reached!
% 14.98/2.43 % (967649)------------------------------
% 14.98/2.43 % (967649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967649)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967649)Termination reason: Instruction limit
% 14.98/2.43 % (967649)Termination phase: Saturation
% 14.98/2.43 % (967649)Time elapsed: 0.397 s
% 14.98/2.43 % (967649)Peak memory usage: 20 MB
% 14.98/2.43 % (967649)Instructions burned: 1475 (million)
% 14.98/2.43 % (967664)dis+21_1_sil=32000:sas=cadical:random_seed=4132553283:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 14.98/2.43 % (967656)Instruction limit reached!
% 14.98/2.43 % (967656)------------------------------
% 14.98/2.43 % (967656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967656)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967656)Termination reason: Instruction limit
% 14.98/2.43 % (967656)Termination phase: Saturation
% 14.98/2.43 % (967656)Time elapsed: 0.408 s
% 14.98/2.43 % (967656)Peak memory usage: 14 MB
% 14.98/2.43 % (967656)Instructions burned: 871 (million)
% 14.98/2.43 % (967666)ott+11_1_sil=16000:gs=on:random_seed=2409102875:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 14.98/2.43 % (967666)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 14.98/2.43 % (967664)Instruction limit reached!
% 14.98/2.43 % (967664)------------------------------
% 14.98/2.43 % (967664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967664)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967664)Termination reason: Instruction limit
% 14.98/2.43 % (967664)Termination phase: Saturation
% 14.98/2.43 % (967664)Time elapsed: 0.854 s
% 14.98/2.43 % (967664)Peak memory usage: 18 MB
% 14.98/2.43 % (967664)Instructions burned: 3777 (million)
% 14.98/2.43 % (967668)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2727598554:fmbsr=1.6:i=67534_2983 on theBenchmark for (2983ds/67534Mi)
% 14.98/2.43 % Exception at run slice level
% 14.98/2.43 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 14.98/2.43 % (967670)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3677707587:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 14.98/2.43 % (967666)Instruction limit reached!
% 14.98/2.43 % (967666)------------------------------
% 14.98/2.43 % (967666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.43 % (967666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.43 % (967666)CaDiCaL version: 2.1.3
% 14.98/2.43 % (967666)Termination reason: Instruction limit
% 14.98/2.43 % (967666)Termination phase: Saturation
% 14.98/2.43 % (967666)Time elapsed: 0.883 s
% 14.98/2.43 % (967666)Peak memory usage: 15 MB
% 14.98/2.43 % (967666)Instructions burned: 2251 (million)
% 14.98/2.43 % (967672)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1164181261:i=29340_2982 on theBenchmark for (2982ds/29340Mi)
% 14.98/2.43 % (967672) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-967603-967672"...
% 14.98/2.43 % (967672)...printing done.
% 14.98/2.43 % (967672)Refutation found. Thanks to Tanya!
% 14.98/2.43 % SZS status Theorem for theBenchmark
% 14.98/2.43 % SZS output start Proof for theBenchmark
% See solution above
% 14.98/2.44 % (967672)------------------------------
% 14.98/2.44 % (967672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.98/2.44 % (967672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.98/2.44 % (967672)CaDiCaL version: 2.1.3
% 14.98/2.44 % (967672)Termination reason: Refutation
% 14.98/2.44 % (967672)Time elapsed: 0.407 s
% 14.98/2.44 % (967672)Peak memory usage: 15 MB
% 14.98/2.44 % (967672)Instructions burned: 893 (million)
% 14.98/2.44 % (967603)Success in time 2.202 s
% 14.98/2.44 % Vampire exiting
%------------------------------------------------------------------------------