%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL713^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:15:07 AM UTC 2026
% Result : Theorem 5.59s 1.07s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 99 ( 57 unt; 0 typ; 2 def)
% Number of atoms : 652 ( 159 equ; 1 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 1075 ( 160 ~; 142 |; 15 &; 678 @)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 159 ( 159 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 52 usr; 9 con; 0-4 aty)
% ( 62 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 309 ( 0 sgn 115 !; 1 ?; 309 :)
% 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_48,type,
sK1: $i > ( $i > $o ) > $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(f17,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
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 @ ( mdia @ X0 @ X1 ) @ ( mbox @ X0 @ ( mdia @ 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 @ ( mdia @ X0 @ X1 ) @ ( mbox @ X0 @ ( mdia @ 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(f56,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
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 @ ( mdia @ X0 @ X1 ) @ ( mbox @ X0 @ ( mdia @ X0 @ X1 ) ) ) ) )
=> ( meuclidean @ X0 ) ),
inference(rectify,[],[f33]) ).
thf(f86,plain,
~ ! [X0: $i > $i > $o] :
( ( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ X0 @ Y0 ) @ ( mbox @ X0 @ ( mdia @ X0 @ Y0 ) ) ) ) ) )
=> ( ( meuclidean @ X0 )
= $true ) ),
inference(fool_elimination,[],[f85]) ).
thf(f87,plain,
? [X0: $i > $i > $o] :
( ( ( meuclidean @ X0 )
!= $true )
& ( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ X0 @ Y0 ) @ ( mbox @ X0 @ ( mdia @ X0 @ Y0 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f86]) ).
thf(f88,plain,
( ( $true
!= ( meuclidean @ sK0 ) )
& ( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ sK0 @ Y0 ) @ ( mbox @ sK0 @ ( mdia @ 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(f105,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
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,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mdia @ sK0 @ Y0 ) @ ( mbox @ sK0 @ ( mdia @ sK0 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f88]) ).
thf(f121,plain,
( $true
!= ( meuclidean @ sK0 ) ),
inference(cnf_transformation,[],[f88]) ).
thf(f125,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,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f105,f91,f104,f91]) ).
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 ) ),
inference(definition_unfolding,[],[f121,f110]) ).
thf(f134,plain,
( $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 > $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ sK0
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ sK0
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ~ ( Y3 @ Y5 @ Y6 )
| ( Y4 @ Y6 ) ) )
@ Y1
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y2 ) ) )
@ sK0
@ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f120,f116,f99,f125,f132,f104,f132]) ).
thf(f135,plain,
( $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,[],[f134]) ).
thf(f136,plain,
! [X1: $i] :
( $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 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f135]) ).
thf(f137,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X1 @ Y1 )
| ~ ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X1 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ~ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f138,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X1 @ Y1 )
| ~ ( Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ X1 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( sK0 @ Y1 @ Y2 )
| ~ ( Y0 @ Y2 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) ) ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) )
@ X3 ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ) ),
inference(pi_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) )
@ X3 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f141]) ).
thf(f143,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) )
@ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f142]) ).
thf(f144,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( sK0 @ Y0 @ Y1 )
| ~ ( X2 @ Y1 ) ) ) )
@ X3 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X1 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ~ ( sK0 @ X1 @ X3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 )
| ~ ( X2 @ X4 ) ) ) ),
inference(beta-eta_normalization,[],[f144]) ).
thf(f146,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 )
| ~ ( X2 @ X4 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f145]) ).
thf(f147,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 )
| ~ ( X2 @ X4 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f146]) ).
thf(f148,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK1 @ X3 @ X2 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 )
| ~ ( X2 @ X4 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X3 ) ) ) ),
inference(sigma_proxy_clausification,[],[f147]) ).
thf(f149,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK1 @ X3 @ X2 ) ) )
| ( $true
= ( ~ ( X2 @ X4 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X3 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f148]) ).
thf(f150,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK1 @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X3 ) ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f149]) ).
thf(f151,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK1 @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $true
= ( ~ ( sK0 @ X1 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f150]) ).
thf(f152,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( sK0 @ X3 @ Y0 )
| ~ ( X2 @ Y0 ) )
@ ( sK1 @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f151]) ).
thf(f153,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ~ ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) )
| ~ ( X2 @ ( sK1 @ X3 @ X2 ) ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f154,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ~ ( X2 @ ( sK1 @ X3 @ X2 ) ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ~ ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f156,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X3 @ ( sK1 @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f155]) ).
thf(f157,plain,
! [X2: $i > $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( X2 @ ( sK1 @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X4 ) )
| ( $false
= ( sK0 @ X1 @ X3 ) )
| ( $false
= ( sK0 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f154]) ).
thf(f158,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f133]) ).
thf(f159,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( sK0 @ Y2 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f158]) ).
thf(f160,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK2 ) )
=> ( sK0 @ Y0 @ sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f159]) ).
thf(f161,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 @ Y0 )
& ( sK0 @ Y1 @ sK2 ) )
=> ( sK0 @ Y0 @ sK2 ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f160]) ).
thf(f162,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ sK3 @ sK2 ) ) ) ),
inference(beta-eta_normalization,[],[f161]) ).
thf(f163,plain,
( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 @ sK3 )
& ( sK0 @ Y0 @ sK2 ) )
=> ( sK0 @ sK3 @ sK2 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f162]) ).
thf(f164,plain,
( $false
= ( ( ( sK0 @ sK4 @ sK3 )
& ( sK0 @ sK4 @ sK2 ) )
=> ( sK0 @ sK3 @ sK2 ) ) ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f165,plain,
( $false
= ( sK0 @ sK3 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f166,plain,
( $true
= ( ( sK0 @ sK4 @ sK3 )
& ( sK0 @ sK4 @ sK2 ) ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f167,plain,
( $true
= ( sK0 @ sK4 @ sK2 ) ),
inference(and_proxy_clausification,[],[f166]) ).
thf(f168,plain,
( $true
= ( sK0 @ sK4 @ sK3 ) ),
inference(and_proxy_clausification,[],[f166]) ).
thf(f178,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( sK1 @ X0 @ ( (=) @ X1 ) )
= X1 )
| ( $false
= ( sK0 @ X2 @ X0 ) )
| ( $false
= ( sK0 @ X2 @ X1 ) ) ),
inference(leibniz_equality_elimination,[],[f157]) ).
thf(f658,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( X0 = X2 ) )
| ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X3 @ X2 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) ) ),
inference(constrained_superposition,[],[f156,f178]) ).
thf(f686,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( sK0 @ X1 @ X0 ) )
| ( $false
= ( sK0 @ X3 @ X1 ) )
| ( $false
= ( sK0 @ X3 @ X2 ) )
| ( $false
= ( sK0 @ X4 @ X1 ) )
| ( $false
= ( sK0 @ X4 @ X0 ) )
| ( X0 != X2 ) ),
inference(equality_proxy_clausification,[],[f658]) ).
thf(f15034,definition,
( spl5_25
<=> ! [X1: $i] :
( ( $false
= ( sK0 @ X1 @ sK3 ) )
| ( $false
= ( sK0 @ X1 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
thf(f15035,plain,
( ! [X1: $i] :
( ( $false
= ( sK0 @ X1 @ sK3 ) )
| ( $false
= ( sK0 @ X1 @ sK2 ) ) )
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f15034]) ).
thf(f17376,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false
= ( sK0 @ X2 @ sK3 ) )
| ( $false
= ( sK0 @ X2 @ sK2 ) )
| ( sK2 != X1 ) ),
inference(constrained_superposition,[],[f686,f165]) ).
thf(f18215,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false
= ( sK0 @ X2 @ sK3 ) )
| ( $false
= ( sK0 @ X2 @ sK2 ) )
| ( sK2 != X1 ) ),
inference(trivial_inequality_removal,[],[f17376]) ).
thf(f18285,definition,
( spl5_26
<=> ! [X0: $i,X1: $i] :
( ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( sK2 != X1 )
| ( $false
= ( sK0 @ X0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
thf(f18286,plain,
( ! [X0: $i,X1: $i] :
( ( sK2 != X1 )
| ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ X1 ) ) )
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f18285]) ).
thf(f18288,plain,
( spl5_25
| spl5_26 ),
inference(avatar_split_clause,[],[f18215,f18285,f15034]) ).
thf(f18312,plain,
( ( $true = $false )
| ( $false
= ( sK0 @ sK4 @ sK2 ) )
| ~ spl5_25 ),
inference(constrained_superposition,[],[f168,f15035]) ).
thf(f18369,plain,
( ( $false
= ( sK0 @ sK4 @ sK2 ) )
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f18312]) ).
thf(f18426,plain,
( ( $true = $false )
| ~ spl5_25 ),
inference(constrained_superposition,[],[f18369,f167]) ).
thf(f18520,plain,
( $false
| ~ spl5_25 ),
inference(trivial_inequality_removal,[],[f18426]) ).
thf(f18521,plain,
~ spl5_25,
inference(avatar_contradiction_clause,[],[f18520]) ).
thf(f18545,plain,
( ! [X0: $i] :
( ( $false
= ( sK0 @ X0 @ sK3 ) )
| ( $false
= ( sK0 @ X0 @ sK2 ) ) )
| ~ spl5_26 ),
inference(equality_resolution,[],[f18286]) ).
thf(f18546,plain,
( spl5_25
| ~ spl5_26 ),
inference(avatar_split_clause,[],[f18545,f18285,f15034]) ).
cnf(s86,plain,
( spl5_25
| spl5_26 ),
inference(sat_conversion,[],[f18288]) ).
cnf(s88,plain,
~ spl5_25,
inference(sat_conversion,[],[f18521]) ).
cnf(s95,plain,
( spl5_25
| ~ spl5_26 ),
inference(sat_conversion,[],[f18546]) ).
cnf(s96,plain,
~ spl5_26,
inference(rat,[],[s95,s88]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s86,s96,s88]) ).
thf(f18547,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL713^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.17 % Computer : n013.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 09:47:51 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.21 Running first-order model finding
% 0.12/0.21 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
% 4.34/0.96 % (1881143)Will run a generic schedule for satisfiability detection.
% 4.34/0.96 % (1881149)% WARNING: option uhcvi not known.
% 4.34/0.96 % (1881149)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4254207526:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.34/0.96 % (1881149)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/0.96 % (1881149)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.34/0.96 % (1881148)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1339649649_2999 on theBenchmark for (2999ds/0Mi)
% 4.34/0.96 % (1881150)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3624091870:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.34/0.96 % (1881153)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1815103305:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/0.96 % (1881154)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1034122531:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.34/0.96 % (1881152)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2973054116:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.34/0.96 % Exception at run slice level
% 4.34/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.34/0.96 % (1881152)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/0.96 % (1881151)dis+10_1_sil=32000:sp=arity:random_seed=808588388:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.34/0.96 % (1881161)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2481499162:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.34/0.96 % Exception at run slice level
% 4.34/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.34/0.96 % (1881152)Instruction limit reached!
% 4.34/0.96 % (1881152)------------------------------
% 4.34/0.96 % (1881152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/0.96 % (1881152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/0.96 % (1881152)CaDiCaL version: 2.1.3
% 4.34/0.96 % (1881152)Termination reason: Instruction limit
% 4.34/0.96 % (1881152)Termination phase: Saturation
% 4.34/0.96 % (1881152)Time elapsed: 0.061 s
% 4.34/0.96 % (1881152)Peak memory usage: 12 MB
% 4.34/0.96 % (1881152)Instructions burned: 117 (million)
% 4.34/0.96 % (1881153)Instruction limit reached!
% 4.34/0.96 % (1881153)------------------------------
% 4.34/0.96 % (1881153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/0.96 % (1881153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/0.96 % (1881153)CaDiCaL version: 2.1.3
% 4.34/0.96 % (1881153)Termination reason: Instruction limit
% 4.34/0.96 % (1881153)Termination phase: Saturation
% 4.34/0.96 % (1881153)Time elapsed: 0.064 s
% 4.34/0.96 % (1881153)Peak memory usage: 12 MB
% 4.34/0.96 % (1881153)Instructions burned: 132 (million)
% 4.34/0.96 % (1881164)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3556182370:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.34/0.96 % (1881166)ott-21_1_sil=16000:fs=off:random_seed=170826127:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.34/0.96 % (1881165)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=123035066:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.34/0.96 % (1881165)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.34/0.96 % (1881165)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.34/0.96 % (1881151)Instruction limit reached!
% 4.34/0.96 % (1881151)------------------------------
% 4.34/0.96 % (1881151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.34/0.96 % (1881151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/0.96 % (1881151)CaDiCaL version: 2.1.3
% 4.34/0.96 % (1881151)Termination reason: Instruction limit
% 4.34/0.96 % (1881151)Termination phase: Saturation
% 4.34/0.96 % (1881151)Time elapsed: 0.090 s
% 4.34/0.96 % (1881151)Peak memory usage: 12 MB
% 4.34/0.96 % (1881151)Instructions burned: 104 (million)
% 4.34/0.96 % (1881154)Instruction limit reached!
% 5.59/1.07 % (1881154)------------------------------
% 5.59/1.07 % (1881154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881154)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881154)Termination reason: Instruction limit
% 5.59/1.07 % (1881154)Termination phase: Saturation
% 5.59/1.07 % (1881154)Time elapsed: 0.102 s
% 5.59/1.07 % (1881154)Peak memory usage: 12 MB
% 5.59/1.07 % (1881154)Instructions burned: 160 (million)
% 5.59/1.07 % (1881170)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=968701996:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.59/1.07 % (1881171)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3091858997:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881174)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=135210577:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.59/1.07 % (1881166)Instruction limit reached!
% 5.59/1.07 % (1881166)------------------------------
% 5.59/1.07 % (1881166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881166)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881166)Termination reason: Instruction limit
% 5.59/1.07 % (1881166)Termination phase: Saturation
% 5.59/1.07 % (1881166)Time elapsed: 0.086 s
% 5.59/1.07 % (1881166)Peak memory usage: 12 MB
% 5.59/1.07 % (1881166)Instructions burned: 182 (million)
% 5.59/1.07 % (1881164)Instruction limit reached!
% 5.59/1.07 % (1881164)------------------------------
% 5.59/1.07 % (1881164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881164)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881164)Termination reason: Instruction limit
% 5.59/1.07 % (1881164)Termination phase: Saturation
% 5.59/1.07 % (1881164)Time elapsed: 0.121 s
% 5.59/1.07 % (1881164)Peak memory usage: 12 MB
% 5.59/1.07 % (1881164)Instructions burned: 133 (million)
% 5.59/1.07 % (1881176)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1529154699:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881177)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=4033587252:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 5.59/1.07 % (1881177)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.59/1.07 % (1881179)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1679947544:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 5.59/1.07 % (1881179)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.59/1.07 % (1881170)Instruction limit reached!
% 5.59/1.07 % (1881170)------------------------------
% 5.59/1.07 % (1881170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881170)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881170)Termination reason: Instruction limit
% 5.59/1.07 % (1881170)Termination phase: Saturation
% 5.59/1.07 % (1881170)Time elapsed: 0.232 s
% 5.59/1.07 % (1881170)Peak memory usage: 13 MB
% 5.59/1.07 % (1881170)Instructions burned: 477 (million)
% 5.59/1.07 % (1881182)fmb+10_1_sil=64000:random_seed=1356740565:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 5.59/1.07 % (1881182)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881184)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4097213895:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881186)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3585478456:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881188)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1263486646:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 5.59/1.07 % (1881188)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.59/1.07 % (1881165)Instruction limit reached!
% 5.59/1.07 % (1881165)------------------------------
% 5.59/1.07 % (1881165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881165)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881165)Termination reason: Instruction limit
% 5.59/1.07 % (1881165)Termination phase: Saturation
% 5.59/1.07 % (1881165)Time elapsed: 0.430 s
% 5.59/1.07 % (1881165)Peak memory usage: 14 MB
% 5.59/1.07 % (1881165)Instructions burned: 684 (million)
% 5.59/1.07 % (1881190)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2153897361:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 5.59/1.07 % (1881190)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.59/1.07 % (1881190)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.59/1.07 % (1881177)Instruction limit reached!
% 5.59/1.07 % (1881177)------------------------------
% 5.59/1.07 % (1881177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881177)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881177)Termination reason: Instruction limit
% 5.59/1.07 % (1881177)Termination phase: Saturation
% 5.59/1.07 % (1881177)Time elapsed: 0.420 s
% 5.59/1.07 % (1881177)Peak memory usage: 14 MB
% 5.59/1.07 % (1881177)Instructions burned: 692 (million)
% 5.59/1.07 % (1881179)Instruction limit reached!
% 5.59/1.07 % (1881179)------------------------------
% 5.59/1.07 % (1881179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881179)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881179)Termination reason: Instruction limit
% 5.59/1.07 % (1881179)Termination phase: Saturation
% 5.59/1.07 % (1881179)Time elapsed: 0.416 s
% 5.59/1.07 % (1881179)Peak memory usage: 14 MB
% 5.59/1.07 % (1881179)Instructions burned: 880 (million)
% 5.59/1.07 % (1881192)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4235299993:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 5.59/1.07 % (1881174)Instruction limit reached!
% 5.59/1.07 % (1881174)------------------------------
% 5.59/1.07 % (1881174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881174)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881174)Termination reason: Instruction limit
% 5.59/1.07 % (1881174)Termination phase: Saturation
% 5.59/1.07 % (1881174)Time elapsed: 0.524 s
% 5.59/1.07 % (1881174)Peak memory usage: 15 MB
% 5.59/1.07 % (1881174)Instructions burned: 1180 (million)
% 5.59/1.07 % (1881193)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1872719192:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881196)ott-2_1_sil=16000:newcnf=on:random_seed=2525484728:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 5.59/1.07 % (1881197)ott+10_1_sil=32000:tgt=ground:random_seed=402782449:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 5.59/1.07 % (1881196)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.59/1.07 % (1881198)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3708607595:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 5.59/1.07 % Exception at run slice level
% 5.59/1.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.59/1.07 % (1881202)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2555868712:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 5.59/1.07 % (1881202)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.59/1.07 % (1881149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1881143-1881149"...
% 5.59/1.07 % (1881149)...printing done.
% 5.59/1.07 % (1881149)Refutation found. Thanks to Tanya!
% 5.59/1.07 % SZS status Theorem for theBenchmark
% 5.59/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.07 % (1881149)------------------------------
% 5.59/1.07 % (1881149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.07 % (1881149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.07 % (1881149)CaDiCaL version: 2.1.3
% 5.59/1.07 % (1881149)Termination reason: Refutation
% 5.59/1.07 % (1881149)Time elapsed: 0.811 s
% 5.59/1.07 % (1881149)Peak memory usage: 18 MB
% 5.59/1.07 % (1881149)Instructions burned: 3563 (million)
% 5.59/1.07 % (1881143)Success in time 0.85 s
% 5.59/1.07 % Vampire exiting
%------------------------------------------------------------------------------