%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL877^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 08:15:13 AM UTC 2026
% Result : Theorem 24.38s 3.92s
% Output : Refutation 24.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 18
% Syntax : Number of formulae : 207 ( 41 unt; 0 typ; 10 def)
% Number of atoms : 1892 ( 373 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 2642 ( 346 ~; 484 |; 40 &;1568 @)
% ( 13 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 204 ( 204 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 66 usr; 19 con; 0-4 aty)
% ( 154 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 569 ( 0 sgn 230 !; 1 ?; 569 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
vOR: $o > $o > $o ).
thf(func_def_39,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vIMP: $o > $o > $o ).
thf(func_def_44,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
vAND: $o > $o > $o ).
thf(func_def_46,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
sK0: $i > $i > $o ).
thf(func_def_51,type,
sK4: $i > $o ).
thf(func_def_55,type,
sK8: ( $i > $o ) > $i > $i ).
thf(func_def_57,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK11: ( $i > $o ) > ( $i > $i ) > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f11,axiom,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f22,axiom,
( meuclidean
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X1 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',meuclidean) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,conjecture,
! [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mnot @ ( mbox @ X0 @ X1 ) ) ) ) ) )
<=> ( meuclidean @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f33,negated_conjecture,
~ ! [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mnot @ ( mbox @ X0 @ X1 ) ) ) ) ) )
<=> ( meuclidean @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
thf(f36,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f37,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f38,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f39,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f41,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f47,plain,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f48,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f47]) ).
thf(f54,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f55,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f54]) ).
thf(f65,plain,
( meuclidean
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i,X3: $i] :
( ( ( X0 @ X1 @ X3 )
& ( X0 @ X1 @ X2 ) )
=> ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f22]) ).
thf(f66,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f77,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f78,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f85,plain,
~ ! [X0: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [X1: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ X0 @ X1 ) ) @ ( mbox @ X0 @ ( mnot @ ( mbox @ X0 @ X1 ) ) ) ) ) )
<=> ( meuclidean @ X0 ) ),
inference(rectify,[],[f33]) ).
thf(f86,plain,
~ ! [X0: $i > $i > $o] :
( ( meuclidean @ X0 )
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ X0 @ Y0 ) ) @ ( mbox @ X0 @ ( mnot @ ( mbox @ X0 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( meuclidean @ X0 )
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ X0 @ Y0 ) ) @ ( mbox @ X0 @ ( mnot @ ( mbox @ X0 @ Y0 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f86]) ).
thf(f88,plain,
( ( meuclidean @ sK0 )
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ sK0 @ Y0 ) ) @ ( mbox @ sK0 @ ( mnot @ ( mbox @ sK0 @ Y0 ) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f87]) ).
thf(f91,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f92,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f94,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f99,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f48]) ).
thf(f104,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f110,plain,
( meuclidean
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f116,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f120,plain,
( ( meuclidean @ sK0 )
!= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ sK0 @ Y0 ) ) @ ( mbox @ sK0 @ ( mnot @ ( mbox @ sK0 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f88]) ).
thf(f124,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f94,f92,f91]) ).
thf(f132,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 )
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f120,f110,f116,f99,f124,f91,f104,f104,f91,f104]) ).
thf(f133,plain,
( ( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) ) ) ) ) ) ) ),
inference(xor_proxy_clausification,[],[f132]) ).
thf(f134,plain,
( ( $false
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
@ sK0 ) )
| ( $false
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ Y0 ) ) ) ) ) ) ) ),
inference(xor_proxy_clausification,[],[f132]) ).
thf(f135,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f134]) ).
thf(f136,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f135]) ).
thf(f137,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK1 ) )
| ( $false
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
@ sK2 ) ) ),
inference(sigma_proxy_clausification,[],[f136]) ).
thf(f138,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) ) ) )
| ( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK3 ) )
| ( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f138]) ).
thf(f140,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK1 ) )
=> ( sK0 @ Y0 @ sK1 ) ) )
@ sK3 ) )
| ( $false
= ( ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ sK2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) )
@ sK4 ) ) ),
inference(sigma_proxy_clausification,[],[f139]) ).
thf(f141,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) ) ) )
| ( $false
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( sK4 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f142,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( sK4 @ Y1 ) ) ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f141]) ).
thf(f143,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( sK4 @ Y1 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f142]) ).
thf(f144,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f142]) ).
thf(f145,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ( sK4 @ Y0 ) )
@ sK6 ) ) ),
inference(sigma_proxy_clausification,[],[f146]) ).
thf(f148,plain,
( ( $false
= ( ( ( sK0 @ sK5 @ sK3 )
& ( sK0 @ sK5 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 )
| ( sK4 @ sK6 ) ) ) ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 )
| ( sK4 @ sK6 ) ) ) ),
inference(imp_proxy_clausification,[],[f148]) ).
thf(f150,plain,
( ( $true
= ( ( sK0 @ sK5 @ sK3 )
& ( sK0 @ sK5 @ sK1 ) ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 )
| ( sK4 @ sK6 ) ) ) ),
inference(imp_proxy_clausification,[],[f148]) ).
thf(f151,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 )
| ( sK4 @ sK6 ) ) ) ),
inference(and_proxy_clausification,[],[f150]) ).
thf(f152,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 )
| ( sK4 @ sK6 ) ) ) ),
inference(and_proxy_clausification,[],[f150]) ).
thf(f153,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( sK4 @ sK6 ) ) ),
inference(or_proxy_clausification,[],[f152]) ).
thf(f154,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 ) ) ) ),
inference(or_proxy_clausification,[],[f152]) ).
thf(f155,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( sK0 @ sK2 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f154]) ).
thf(f156,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( sK4 @ sK6 ) ) ),
inference(or_proxy_clausification,[],[f151]) ).
thf(f157,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 ) ) ) ),
inference(or_proxy_clausification,[],[f151]) ).
thf(f158,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( sK0 @ sK2 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f157]) ).
thf(f159,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( sK4 @ sK6 ) ) ),
inference(or_proxy_clausification,[],[f149]) ).
thf(f160,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK6 ) ) ) ),
inference(or_proxy_clausification,[],[f149]) ).
thf(f161,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( sK0 @ sK2 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f160]) ).
thf(f162,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) )
@ sK5 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( sK4 @ Y1 ) ) ) )
@ sK7 ) ) ),
inference(sigma_proxy_clausification,[],[f143]) ).
thf(f163,plain,
( ( $false
= ( ( ( sK0 @ sK5 @ sK3 )
& ( sK0 @ sK5 @ sK1 ) )
=> ( sK0 @ sK3 @ sK1 ) ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f162]) ).
thf(f164,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f163]) ).
thf(f165,plain,
( ( $true
= ( ( sK0 @ sK5 @ sK3 )
& ( sK0 @ sK5 @ sK1 ) ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f163]) ).
thf(f166,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f165]) ).
thf(f167,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f165]) ).
thf(f168,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f167]) ).
thf(f169,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 ) ) ) ),
inference(or_proxy_clausification,[],[f167]) ).
thf(f170,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( sK0 @ sK2 @ sK7 ) ) ),
inference(not_proxy_clausification,[],[f169]) ).
thf(f171,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f168]) ).
thf(f172,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f171]) ).
thf(f173,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 )
| ( sK4 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f172]) ).
thf(f174,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f173]) ).
thf(f175,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $false
= ( sK0 @ sK7 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f174]) ).
thf(f176,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f166]) ).
thf(f177,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 ) ) ) ),
inference(or_proxy_clausification,[],[f166]) ).
thf(f178,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( sK0 @ sK2 @ sK7 ) ) ),
inference(not_proxy_clausification,[],[f177]) ).
thf(f179,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f176]) ).
thf(f180,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f179]) ).
thf(f181,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 )
| ( sK4 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f182,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f181]) ).
thf(f183,plain,
! [X1: $i] :
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $false
= ( sK0 @ sK7 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f182]) ).
thf(f184,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f164]) ).
thf(f185,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $false
= ( ~ ( sK0 @ sK2 @ sK7 ) ) ) ),
inference(or_proxy_clausification,[],[f164]) ).
thf(f186,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( sK0 @ sK2 @ sK7 ) ) ),
inference(not_proxy_clausification,[],[f185]) ).
thf(f187,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f184]) ).
thf(f188,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ sK7 @ Y0 )
| ( sK4 @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f187]) ).
thf(f189,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 )
| ( sK4 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f188]) ).
thf(f190,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $true
= ( ~ ( sK0 @ sK7 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f189]) ).
thf(f191,plain,
! [X1: $i] :
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ( $true
= ( sK4 @ X1 ) )
| ( $false
= ( sK0 @ sK7 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f190]) ).
thf(f192,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f133]) ).
thf(f193,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f192]) ).
thf(f194,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y0 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( sK0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f193]) ).
thf(f195,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) ) ) )
| ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f194]) ).
thf(f196,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) )
@ X3 ) )
| ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f195]) ).
thf(f197,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i > $o] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y0 @ X1 ) ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X2 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f196]) ).
thf(f198,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) ) ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f197]) ).
thf(f199,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f198]) ).
thf(f200,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) ) ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) )
@ X6 ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f200]) ).
thf(f202,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) )
@ X6 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f201]) ).
thf(f203,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) )
@ X6 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f202]) ).
thf(f204,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ X3 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) )
@ X5 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ( X4 @ Y1 ) ) ) )
@ X6 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X2 @ Y0 )
| ( X4 @ Y0 ) )
@ X7 ) ) ),
inference(pi_proxy_clausification,[],[f203]) ).
thf(f205,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( ( ( sK0 @ X5 @ X3 )
& ( sK0 @ X5 @ X1 ) )
=> ( sK0 @ X3 @ X1 ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) ) ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( ( sK0 @ X5 @ X3 )
& ( sK0 @ X5 @ X1 ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) )
| ( $true
= ( sK0 @ X3 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) ) ),
inference(and_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 ) ) ) ),
inference(or_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 ) ) ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) )
@ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 )
| ( X4 @ X7 ) ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 ) ) ) ),
inference(sigma_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) )
@ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X6 ) ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 ) ) ) ),
inference(or_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) )
@ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $true
= ( ~ ( sK0 @ X2 @ X7 ) ) ) ),
inference(not_proxy_clausification,[],[f211]) ).
thf(f213,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X6 @ Y0 )
| ( X4 @ Y0 ) )
@ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $false
= ( sK0 @ X2 @ X7 ) ) ),
inference(not_proxy_clausification,[],[f212]) ).
thf(f214,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ~ ( sK0 @ X6 @ ( sK8 @ X4 @ X6 ) )
| ( X4 @ ( sK8 @ X4 @ X6 ) ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $false
= ( sK0 @ X2 @ X7 ) ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f215,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( X4 @ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $false
= ( sK0 @ X2 @ X7 ) ) ),
inference(or_proxy_clausification,[],[f214]) ).
thf(f216,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( ~ ( sK0 @ X6 @ ( sK8 @ X4 @ X6 ) ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $false
= ( sK0 @ X2 @ X7 ) ) ),
inference(or_proxy_clausification,[],[f214]) ).
thf(f217,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i > $o,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $true
= ( sK0 @ X6 @ ( sK8 @ X4 @ X6 ) ) )
| ( $true
= ( X4 @ X7 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $false
= ( sK0 @ X2 @ X7 ) ) ),
inference(not_proxy_clausification,[],[f216]) ).
thf(f219,definition,
( spl9_1
<=> ( $true
= ( sK0 @ sK2 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
thf(f221,plain,
( ( $true
= ( sK0 @ sK2 @ sK6 ) )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f223,definition,
( spl9_2
<=> ( $true
= ( sK0 @ sK5 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
thf(f225,plain,
( ( $true
= ( sK0 @ sK5 @ sK3 ) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f226,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f155,f223,f219]) ).
thf(f228,definition,
( spl9_3
<=> ( $false
= ( sK4 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
thf(f230,plain,
( ( $false
= ( sK4 @ sK6 ) )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f228]) ).
thf(f231,plain,
( spl9_3
| spl9_2 ),
inference(avatar_split_clause,[],[f153,f223,f228]) ).
thf(f233,definition,
( spl9_4
<=> ( $true
= ( sK0 @ sK5 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
thf(f235,plain,
( ( $true
= ( sK0 @ sK5 @ sK1 ) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f236,plain,
( spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f158,f233,f219]) ).
thf(f237,plain,
( spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f156,f233,f228]) ).
thf(f239,definition,
( spl9_5
<=> ( $false
= ( sK0 @ sK3 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
thf(f241,plain,
( ( $false
= ( sK0 @ sK3 @ sK1 ) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f239]) ).
thf(f242,plain,
( spl9_1
| spl9_5 ),
inference(avatar_split_clause,[],[f161,f239,f219]) ).
thf(f243,plain,
( spl9_3
| spl9_5 ),
inference(avatar_split_clause,[],[f159,f239,f228]) ).
thf(f245,definition,
( spl9_6
<=> ( $true
= ( sK0 @ sK2 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
thf(f247,plain,
( ( $true
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f248,plain,
( spl9_6
| spl9_2 ),
inference(avatar_split_clause,[],[f170,f223,f245]) ).
thf(f250,definition,
( spl9_7
<=> ! [X1: $i] :
( ( $true
= ( sK4 @ X1 ) )
| ( $false
= ( sK0 @ sK7 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
thf(f251,plain,
( ! [X1: $i] :
( ( $false
= ( sK0 @ sK7 @ X1 ) )
| ( $true
= ( sK4 @ X1 ) ) )
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f250]) ).
thf(f252,plain,
( spl9_7
| spl9_2 ),
inference(avatar_split_clause,[],[f175,f223,f250]) ).
thf(f253,plain,
( spl9_6
| spl9_4 ),
inference(avatar_split_clause,[],[f178,f233,f245]) ).
thf(f254,plain,
( spl9_7
| spl9_4 ),
inference(avatar_split_clause,[],[f183,f233,f250]) ).
thf(f255,plain,
( spl9_6
| spl9_5 ),
inference(avatar_split_clause,[],[f186,f239,f245]) ).
thf(f256,plain,
( spl9_7
| spl9_5 ),
inference(avatar_split_clause,[],[f191,f239,f250]) ).
thf(f258,definition,
( spl9_8
<=> ! [X4: $i > $o,X7: $i,X6: $i,X2: $i] :
( ( $true
= ( sK0 @ X6 @ ( sK8 @ X4 @ X6 ) ) )
| ( $false
= ( sK0 @ X2 @ X7 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $true
= ( X4 @ X7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
thf(f259,plain,
( ! [X2: $i,X6: $i,X7: $i,X4: $i > $o] :
( ( $true
= ( sK0 @ X6 @ ( sK8 @ X4 @ X6 ) ) )
| ( $false
= ( sK0 @ X2 @ X7 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $true
= ( X4 @ X7 ) ) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f258]) ).
thf(f261,definition,
( spl9_9
<=> ! [X5: $i,X1: $i,X3: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
thf(f262,plain,
( ! [X3: $i,X1: $i,X5: $i] :
( ( $false
= ( sK0 @ X5 @ X1 ) )
| ( $false
= ( sK0 @ X5 @ X3 ) )
| ( $true
= ( sK0 @ X3 @ X1 ) ) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f261]) ).
thf(f263,plain,
( spl9_8
| spl9_9 ),
inference(avatar_split_clause,[],[f217,f261,f258]) ).
thf(f265,definition,
( spl9_10
<=> ! [X4: $i > $o,X7: $i,X6: $i,X2: $i] :
( ( $false
= ( X4 @ ( sK8 @ X4 @ X6 ) ) )
| ( $false
= ( sK0 @ X2 @ X7 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $true
= ( X4 @ X7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
thf(f266,plain,
( ! [X2: $i,X6: $i,X7: $i,X4: $i > $o] :
( ( $false
= ( X4 @ ( sK8 @ X4 @ X6 ) ) )
| ( $false
= ( sK0 @ X2 @ X7 ) )
| ( $false
= ( sK0 @ X2 @ X6 ) )
| ( $true
= ( X4 @ X7 ) ) )
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f265]) ).
thf(f267,plain,
( spl9_10
| spl9_9 ),
inference(avatar_split_clause,[],[f215,f261,f265]) ).
thf(f290,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ sK5 @ X0 ) )
| ( $true
= ( sK0 @ sK3 @ X0 ) ) )
| ~ spl9_2
| ~ spl9_9 ),
inference(constrained_superposition,[],[f225,f262]) ).
thf(f302,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ sK5 @ X0 ) )
| ( $true
= ( sK0 @ sK3 @ X0 ) ) )
| ~ spl9_2
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f754,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK8
@ ^ [Y0: $i] : ( Y0 != X0 )
@ X1 )
= X0 )
| ( $false
= ( sK0 @ X2 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) ) )
| ~ spl9_10 ),
inference(leibniz_equality_elimination,[],[f266]) ).
thf(f2313,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ sK2 @ X0 ) )
| ( $true
= ( sK0 @ X0 @ sK6 ) ) )
| ~ spl9_1
| ~ spl9_9 ),
inference(constrained_superposition,[],[f262,f221]) ).
thf(f2334,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ sK2 @ X0 ) )
| ( $true
= ( sK0 @ X0 @ sK6 ) ) )
| ~ spl9_1
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f2313]) ).
thf(f10756,plain,
( ( $true = $false )
| ( $true
= ( sK4 @ sK6 ) )
| ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl9_1
| ~ spl9_7
| ~ spl9_9 ),
inference(constrained_superposition,[],[f251,f2334]) ).
thf(f10791,plain,
( ( $true
= ( sK4 @ sK6 ) )
| ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl9_1
| ~ spl9_7
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f10756]) ).
thf(f10994,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_9 ),
inference(forward_demodulation,[],[f10791,f230]) ).
thf(f10995,plain,
( ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f10994]) ).
thf(f11362,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK3 @ sK1 ) )
| ~ spl9_2
| ~ spl9_4
| ~ spl9_9 ),
inference(constrained_superposition,[],[f235,f302]) ).
thf(f11471,plain,
( ( $true
= ( sK0 @ sK3 @ sK1 ) )
| ~ spl9_2
| ~ spl9_4
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f11362]) ).
thf(f11517,plain,
( ( $true = $false )
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_9 ),
inference(forward_demodulation,[],[f11471,f241]) ).
thf(f11518,plain,
( $false
| ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f11517]) ).
thf(f11519,plain,
( ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f11518]) ).
thf(f14716,plain,
( ( $true = $false )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9 ),
inference(constrained_superposition,[],[f10995,f247]) ).
thf(f14845,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9 ),
inference(trivial_inequality_removal,[],[f14716]) ).
thf(f14846,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f14845]) ).
thf(f15414,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X3 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(constrained_superposition,[],[f259,f754]) ).
thf(f15896,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) )
| ( $true
= ( X3 != X0 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(beta-eta_normalization,[],[f15414]) ).
thf(f15897,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( X3 = X0 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(not_proxy_clausification,[],[f15896]) ).
thf(f15898,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X3 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) )
| ( X0 != X3 ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(equality_proxy_clausification,[],[f15897]) ).
thf(f44717,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false != $false )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X2 ) )
| ( $false
= ( sK0 @ X0 @ X2 ) )
| ( X1 != X1 ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(equality_factoring,[],[f15898]) ).
thf(f44730,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false != $false )
| ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X2 ) )
| ( X1 != X1 ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(duplicate_literal_removal,[],[f44717]) ).
thf(f44731,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X2 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false
= ( sK0 @ X0 @ X2 ) ) )
| ~ spl9_8
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f44730]) ).
thf(f45451,plain,
( spl9_9
| ~ spl9_8
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f44731,f265,f258,f261]) ).
cnf(s1,plain,
( spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f226]) ).
cnf(s2,plain,
( spl9_2
| spl9_3 ),
inference(sat_conversion,[],[f231]) ).
cnf(s3,plain,
( spl9_1
| spl9_4 ),
inference(sat_conversion,[],[f236]) ).
cnf(s4,plain,
( spl9_3
| spl9_4 ),
inference(sat_conversion,[],[f237]) ).
cnf(s5,plain,
( spl9_1
| spl9_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s6,plain,
( spl9_3
| spl9_5 ),
inference(sat_conversion,[],[f243]) ).
cnf(s7,plain,
( spl9_2
| spl9_6 ),
inference(sat_conversion,[],[f248]) ).
cnf(s8,plain,
( spl9_2
| spl9_7 ),
inference(sat_conversion,[],[f252]) ).
cnf(s9,plain,
( spl9_4
| spl9_6 ),
inference(sat_conversion,[],[f253]) ).
cnf(s10,plain,
( spl9_4
| spl9_7 ),
inference(sat_conversion,[],[f254]) ).
cnf(s11,plain,
( spl9_5
| spl9_6 ),
inference(sat_conversion,[],[f255]) ).
cnf(s12,plain,
( spl9_5
| spl9_7 ),
inference(sat_conversion,[],[f256]) ).
cnf(s13,plain,
( spl9_8
| spl9_9 ),
inference(sat_conversion,[],[f263]) ).
cnf(s14,plain,
( spl9_9
| spl9_10 ),
inference(sat_conversion,[],[f267]) ).
cnf(s162,plain,
( ~ spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_9 ),
inference(sat_conversion,[],[f11519]) ).
cnf(s265,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9 ),
inference(sat_conversion,[],[f14846]) ).
cnf(s423,plain,
( ~ spl9_8
| spl9_9
| ~ spl9_10 ),
inference(sat_conversion,[],[f45451]) ).
cnf(s431,plain,
spl9_9,
inference(rat,[],[s423,s13,s14]) ).
cnf(s432,plain,
spl9_1,
inference(rat,[],[s162,s1,s3,s5,s431]) ).
cnf(s441,plain,
( spl9_3
| ~ spl9_2 ),
inference(rat,[],[s162,s4,s6,s431]) ).
cnf(s442,plain,
( spl9_5
| ~ spl9_3 ),
inference(rat,[],[s265,s11,s12,s432,s431]) ).
cnf(s443,plain,
~ spl9_2,
inference(rat,[],[s265,s9,s10,s162,s442,s441,s432,s431]) ).
cnf(s444,plain,
spl9_7,
inference(rat,[],[s8,s443]) ).
cnf(s445,plain,
spl9_6,
inference(rat,[],[s7,s443]) ).
cnf(s446,plain,
spl9_3,
inference(rat,[],[s2,s443]) ).
cnf(s447,plain,
$false,
inference(rat,[],[s265,s431,s446,s432,s444,s445]) ).
thf(f45467,plain,
$false,
inference(avatar_sat_refutation,[],[s447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL877^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 10:21:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 4.17/1.05 % (4096230)Will run a generic schedule for satisfiability detection.
% 4.17/1.05 % (4096237)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3196418437:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.17/1.05 % (4096236)% WARNING: option uhcvi not known.
% 4.17/1.05 % (4096235)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1779728988_2999 on theBenchmark for (2999ds/0Mi)
% 4.17/1.05 % (4096236)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3269278293:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.17/1.05 % (4096238)dis+10_1_sil=32000:sp=arity:random_seed=1709876723:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.17/1.05 % (4096239)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2074701280:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.17/1.05 % (4096241)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3659497429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.17/1.05 % (4096236)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.17/1.05 % (4096239)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.17/1.05 % Exception at run slice level
% 4.17/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.17/1.05 % (4096236)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.17/1.05 % (4096240)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1860492709:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.17/1.05 % (4096248)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2983393273:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.17/1.05 % Exception at run slice level
% 4.17/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.17/1.05 % (4096251)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3595982822:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.17/1.05 % (4096238)Instruction limit reached!
% 4.17/1.05 % (4096238)------------------------------
% 4.17/1.05 % (4096238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.05 % (4096238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.05 % (4096238)CaDiCaL version: 2.1.3
% 4.17/1.05 % (4096238)Termination reason: Instruction limit
% 4.17/1.05 % (4096238)Termination phase: Saturation
% 4.17/1.05 % (4096238)Time elapsed: 0.049 s
% 4.17/1.05 % (4096238)Peak memory usage: 12 MB
% 4.17/1.05 % (4096238)Instructions burned: 105 (million)
% 4.17/1.05 % (4096239)Instruction limit reached!
% 4.17/1.05 % (4096239)------------------------------
% 4.17/1.05 % (4096239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.05 % (4096239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.05 % (4096239)CaDiCaL version: 2.1.3
% 4.17/1.05 % (4096239)Termination reason: Instruction limit
% 4.17/1.05 % (4096239)Termination phase: Saturation
% 4.17/1.05 % (4096239)Time elapsed: 0.056 s
% 4.17/1.05 % (4096239)Peak memory usage: 12 MB
% 4.17/1.05 % (4096239)Instructions burned: 117 (million)
% 4.17/1.05 % (4096253)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=3718872652:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.17/1.05 % (4096253)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.17/1.05 % (4096253)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.17/1.05 % (4096254)ott-21_1_sil=16000:fs=off:random_seed=2809800408:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.17/1.05 % (4096241)Instruction limit reached!
% 4.17/1.05 % (4096241)------------------------------
% 4.17/1.05 % (4096241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.17/1.05 % (4096241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.05 % (4096241)CaDiCaL version: 2.1.3
% 4.17/1.05 % (4096241)Termination reason: Instruction limit
% 4.17/1.05 % (4096241)Termination phase: Saturation
% 4.17/1.05 % (4096241)Time elapsed: 0.079 s
% 4.17/1.05 % (4096241)Peak memory usage: 13 MB
% 4.17/1.05 % (4096241)Instructions burned: 161 (million)
% 4.17/1.05 % (4096257)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=439354522:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.53/2.82 % (4096251)Instruction limit reached!
% 17.53/2.82 % (4096251)------------------------------
% 17.53/2.82 % (4096251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.82 % (4096251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.82 % (4096251)CaDiCaL version: 2.1.3
% 17.53/2.82 % (4096251)Termination reason: Instruction limit
% 17.53/2.82 % (4096251)Termination phase: Saturation
% 17.53/2.82 % (4096251)Time elapsed: 0.060 s
% 17.53/2.82 % (4096251)Peak memory usage: 12 MB
% 17.53/2.82 % (4096251)Instructions burned: 132 (million)
% 17.53/2.82 % (4096240)Instruction limit reached!
% 17.53/2.82 % (4096240)------------------------------
% 17.53/2.82 % (4096240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.82 % (4096240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.82 % (4096240)CaDiCaL version: 2.1.3
% 17.53/2.82 % (4096240)Termination reason: Instruction limit
% 17.53/2.82 % (4096240)Termination phase: Saturation
% 17.53/2.82 % (4096240)Time elapsed: 0.110 s
% 17.53/2.82 % (4096240)Peak memory usage: 12 MB
% 17.53/2.82 % (4096240)Instructions burned: 131 (million)
% 17.53/2.82 % (4096259)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2056124508:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.53/2.82 % Exception at run slice level
% 17.53/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.53/2.82 % (4096261)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=891063194:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.53/2.82 % (4096262)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=736844395:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.53/2.82 % Exception at run slice level
% 17.53/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.53/2.82 % (4096254)Instruction limit reached!
% 17.53/2.82 % (4096254)------------------------------
% 17.53/2.82 % (4096254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.82 % (4096254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.82 % (4096254)CaDiCaL version: 2.1.3
% 17.53/2.82 % (4096254)Termination reason: Instruction limit
% 17.53/2.82 % (4096254)Termination phase: Saturation
% 17.53/2.82 % (4096254)Time elapsed: 0.081 s
% 17.53/2.82 % (4096254)Peak memory usage: 12 MB
% 17.53/2.82 % (4096254)Instructions burned: 181 (million)
% 17.53/2.82 % (4096265)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=1687636125: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)
% 17.53/2.82 % (4096265)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.53/2.82 % (4096266)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=222872819:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.53/2.82 % (4096266)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.53/2.82 % (4096257)Instruction limit reached!
% 17.53/2.82 % (4096257)------------------------------
% 17.53/2.82 % (4096257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.82 % (4096257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.82 % (4096257)CaDiCaL version: 2.1.3
% 17.53/2.82 % (4096257)Termination reason: Instruction limit
% 17.53/2.82 % (4096257)Termination phase: Saturation
% 17.53/2.82 % (4096257)Time elapsed: 0.233 s
% 17.53/2.82 % (4096257)Peak memory usage: 13 MB
% 17.53/2.82 % (4096257)Instructions burned: 479 (million)
% 17.53/2.82 % (4096269)fmb+10_1_sil=64000:random_seed=327125624:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.53/2.82 % (4096269)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.53/2.82 % Exception at run slice level
% 17.53/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.53/2.82 % (4096271)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1181562373:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 17.53/2.82 % Exception at run slice level
% 17.53/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096253)Instruction limit reached!
% 24.38/3.92 % (4096253)------------------------------
% 24.38/3.92 % (4096253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096253)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096253)Termination reason: Instruction limit
% 24.38/3.92 % (4096253)Termination phase: Saturation
% 24.38/3.92 % (4096253)Time elapsed: 0.319 s
% 24.38/3.92 % (4096253)Peak memory usage: 15 MB
% 24.38/3.92 % (4096253)Instructions burned: 686 (million)
% 24.38/3.92 % (4096273)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=133083771:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096274)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1584555434:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 24.38/3.92 % (4096274)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 24.38/3.92 % (4096276)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1855126933:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 24.38/3.92 % (4096276)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 24.38/3.92 % (4096276)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.38/3.92 % (4096265)Instruction limit reached!
% 24.38/3.92 % (4096265)------------------------------
% 24.38/3.92 % (4096265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096265)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096265)Termination reason: Instruction limit
% 24.38/3.92 % (4096265)Termination phase: Saturation
% 24.38/3.92 % (4096265)Time elapsed: 0.317 s
% 24.38/3.92 % (4096265)Peak memory usage: 15 MB
% 24.38/3.92 % (4096265)Instructions burned: 693 (million)
% 24.38/3.92 % (4096279)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3754438966:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096281)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1166925678:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096283)ott-2_1_sil=16000:newcnf=on:random_seed=3067636211:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 24.38/3.92 % (4096283)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 24.38/3.92 % (4096266)Instruction limit reached!
% 24.38/3.92 % (4096266)------------------------------
% 24.38/3.92 % (4096266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096266)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096266)Termination reason: Instruction limit
% 24.38/3.92 % (4096266)Termination phase: Saturation
% 24.38/3.92 % (4096266)Time elapsed: 0.418 s
% 24.38/3.92 % (4096266)Peak memory usage: 15 MB
% 24.38/3.92 % (4096266)Instructions burned: 881 (million)
% 24.38/3.92 % (4096285)ott+10_1_sil=32000:tgt=ground:random_seed=3732129923:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 24.38/3.92 % (4096261)Instruction limit reached!
% 24.38/3.92 % (4096261)------------------------------
% 24.38/3.92 % (4096261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096261)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096261)Termination reason: Instruction limit
% 24.38/3.92 % (4096261)Termination phase: Saturation
% 24.38/3.92 % (4096261)Time elapsed: 0.605 s
% 24.38/3.92 % (4096261)Peak memory usage: 15 MB
% 24.38/3.92 % (4096261)Instructions burned: 1180 (million)
% 24.38/3.92 % (4096287)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1214720717:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096289)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1547451388:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 24.38/3.92 % (4096289)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.38/3.92 % (4096283)Instruction limit reached!
% 24.38/3.92 % (4096283)------------------------------
% 24.38/3.92 % (4096283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096283)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096283)Termination reason: Instruction limit
% 24.38/3.92 % (4096283)Termination phase: Saturation
% 24.38/3.92 % (4096283)Time elapsed: 0.383 s
% 24.38/3.92 % (4096283)Peak memory usage: 15 MB
% 24.38/3.92 % (4096283)Instructions burned: 871 (million)
% 24.38/3.92 % (4096291)dis+21_1_sil=32000:sas=cadical:random_seed=3041386520:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 24.38/3.92 % (4096276)Instruction limit reached!
% 24.38/3.92 % (4096276)------------------------------
% 24.38/3.92 % (4096276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096276)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096276)Termination reason: Instruction limit
% 24.38/3.92 % (4096276)Termination phase: Saturation
% 24.38/3.92 % (4096276)Time elapsed: 0.743 s
% 24.38/3.92 % (4096276)Peak memory usage: 18 MB
% 24.38/3.92 % (4096276)Instructions burned: 1472 (million)
% 24.38/3.92 % (4096293)ott+11_1_sil=16000:gs=on:random_seed=3718690826:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 24.38/3.92 % (4096293)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.38/3.92 % (4096293)Instruction limit reached!
% 24.38/3.92 % (4096293)------------------------------
% 24.38/3.92 % (4096293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096293)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096293)Termination reason: Instruction limit
% 24.38/3.92 % (4096293)Termination phase: Saturation
% 24.38/3.92 % (4096293)Time elapsed: 0.851 s
% 24.38/3.92 % (4096293)Peak memory usage: 14 MB
% 24.38/3.92 % (4096293)Instructions burned: 2252 (million)
% 24.38/3.92 % (4096295)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1062514030:fmbsr=1.6:i=67534_2979 on theBenchmark for (2979ds/67534Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096297)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=46276053:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2979 on theBenchmark for (2979ds/4591Mi)
% 24.38/3.92 % (4096289)Instruction limit reached!
% 24.38/3.92 % (4096289)------------------------------
% 24.38/3.92 % (4096289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096289)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096289)Termination reason: Instruction limit
% 24.38/3.92 % (4096289)Termination phase: Saturation
% 24.38/3.92 % (4096289)Time elapsed: 1.484 s
% 24.38/3.92 % (4096289)Peak memory usage: 18 MB
% 24.38/3.92 % (4096289)Instructions burned: 3514 (million)
% 24.38/3.92 % (4096299)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=104937833:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 24.38/3.92 % (4096274)Instruction limit reached!
% 24.38/3.92 % (4096274)------------------------------
% 24.38/3.92 % (4096274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096274)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096274)Termination reason: Instruction limit
% 24.38/3.92 % (4096274)Termination phase: Saturation
% 24.38/3.92 % (4096274)Time elapsed: 2.135 s
% 24.38/3.92 % (4096274)Peak memory usage: 21 MB
% 24.38/3.92 % (4096274)Instructions burned: 5131 (million)
% 24.38/3.92 % (4096301)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4081868276:i=5211_2974 on theBenchmark for (2974ds/5211Mi)
% 24.38/3.92 % (4096291)Instruction limit reached!
% 24.38/3.92 % (4096291)------------------------------
% 24.38/3.92 % (4096291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096291)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096291)Termination reason: Instruction limit
% 24.38/3.92 % (4096291)Termination phase: Saturation
% 24.38/3.92 % (4096291)Time elapsed: 1.756 s
% 24.38/3.92 % (4096291)Peak memory usage: 18 MB
% 24.38/3.92 % (4096291)Instructions burned: 3773 (million)
% 24.38/3.92 % (4096303)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1776703861:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096305)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3728138274:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096285)Instruction limit reached!
% 24.38/3.92 % (4096285)------------------------------
% 24.38/3.92 % (4096285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096285)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096285)Termination reason: Instruction limit
% 24.38/3.92 % (4096285)Termination phase: Saturation
% 24.38/3.92 % (4096285)Time elapsed: 2.180 s
% 24.38/3.92 % (4096285)Peak memory usage: 19 MB
% 24.38/3.92 % (4096285)Instructions burned: 5118 (million)
% 24.38/3.92 % (4096307)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4182812060:i=14071_2971 on theBenchmark for (2971ds/14071Mi)
% 24.38/3.92 % Exception at run slice level
% 24.38/3.92 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 24.38/3.92 % (4096308)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3082415335:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 24.38/3.92 % (4096310)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2382594898:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 24.38/3.92 % (4096236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4096230-4096236"...
% 24.38/3.92 % (4096236)...printing done.
% 24.38/3.92 % (4096236)Refutation found. Thanks to Tanya!
% 24.38/3.92 % SZS status Theorem for theBenchmark
% 24.38/3.92 % SZS output start Proof for theBenchmark
% See solution above
% 24.38/3.92 % (4096236)------------------------------
% 24.38/3.92 % (4096236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.38/3.92 % (4096236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.38/3.92 % (4096236)CaDiCaL version: 2.1.3
% 24.38/3.92 % (4096236)Termination reason: Refutation
% 24.38/3.92 % (4096236)Time elapsed: 3.656 s
% 24.38/3.92 % (4096236)Peak memory usage: 27 MB
% 24.38/3.92 % (4096236)Instructions burned: 8600 (million)
% 24.38/3.92 % (4096230)Success in time 3.699 s
% 24.38/3.92 % Vampire exiting
%------------------------------------------------------------------------------