%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT031^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:37 AM UTC 2026
% Result : Theorem 9.14s 1.87s
% Output : Refutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of formulae : 147 ( 134 unt; 0 typ; 2 def)
% Number of atoms : 822 ( 133 equ; 0 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 1685 ( 191 ~; 135 |; 0 &;1196 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 190 ( 190 >; 0 *; 0 +; 0 <<)
% Number of symbols : 73 ( 68 usr; 13 con; 0-4 aty)
% ( 135 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 473 ( 387 ^; 84 !; 2 ?; 473 :)
% 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,
a1: $i > $i > $o ).
thf(func_def_33,type,
a2: $i > $i > $o ).
thf(func_def_34,type,
a3: $i > $i > $o ).
thf(func_def_35,type,
jan: mu ).
thf(func_def_36,type,
piotr: mu ).
thf(func_def_37,type,
cola: mu ).
thf(func_def_38,type,
pepsi: mu ).
thf(func_def_39,type,
beer: mu ).
thf(func_def_40,type,
likes: mu > mu > $i > $o ).
thf(func_def_41,type,
very_much_likes: mu > mu > $i > $o ).
thf(func_def_42,type,
possibly_likes: mu > mu > $i > $o ).
thf(func_def_43,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_44,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_47,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_48,type,
vNOT: $o > $o ).
thf(func_def_49,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_52,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_53,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_54,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_55,type,
vIMP: $o > $o > $o ).
thf(func_def_56,type,
vAND: $o > $o > $o ).
thf(func_def_57,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vOR: $o > $o > $o ).
thf(func_def_60,type,
sF0: $o ).
thf(func_def_61,type,
sF1: $o ).
thf(func_def_62,type,
sK2: $i > $i ).
thf(func_def_63,type,
sK3: $i > $i ).
thf(func_def_65,type,
sK5: $i > $i ).
thf(func_def_66,type,
sK6: $i > $i ).
thf(func_def_67,type,
sK7: $i > $i ).
thf(func_def_68,type,
sK8: mu > mu > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f5,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f12,axiom,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f19,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f20,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f38,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(f44,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X0 @ X1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ X0 @ X1 ) ) @ ( mbox @ a2 @ ( likes @ X0 @ X1 ) ) ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(f50,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(f53,axiom,
mserial @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(f56,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $i > $o] :
! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X2 @ X3 ) ) )
= subrel ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subrel_def) ).
thf(f58,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(f73,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f79,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X0 @ X1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ X0 @ X1 ) ) @ ( mbox @ a2 @ ( likes @ X0 @ X1 ) ) ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f44]) ).
thf(f80,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ Y0 @ Y1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( mbox @ a2 @ ( likes @ Y0 @ Y1 ) ) ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f79]) ).
thf(f87,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f94,plain,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
inference(rectify,[],[f38]) ).
thf(f95,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(fool_elimination,[],[f94]) ).
thf(f98,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f74]) ).
thf(f99,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f98]) ).
thf(f106,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f107,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f108,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f109,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f108]) ).
thf(f115,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f121,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f122,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f121]) ).
thf(f127,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f128,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f127]) ).
thf(f141,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
inference(rectify,[],[f19]) ).
thf(f142,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f141]) ).
thf(f150,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
inference(rectify,[],[f20]) ).
thf(f151,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f150]) ).
thf(f152,plain,
msymmetric @ a1,
inference(rectify,[],[f50]) ).
thf(f153,plain,
( ( msymmetric @ a1 )
= $true ),
inference(fool_elimination,[],[f152]) ).
thf(f154,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f155,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f154]) ).
thf(f172,plain,
subrel @ a1 @ a3,
inference(rectify,[],[f58]) ).
thf(f173,plain,
( ( subrel @ a1 @ a3 )
= $true ),
inference(fool_elimination,[],[f172]) ).
thf(f188,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f12]) ).
thf(f189,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f188]) ).
thf(f194,plain,
mserial @ a1,
inference(rectify,[],[f53]) ).
thf(f195,plain,
( ( mserial @ a1 )
= $true ),
inference(fool_elimination,[],[f194]) ).
thf(f198,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $i > $o] :
! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X2 @ X3 ) ) )
= subrel ),
inference(rectify,[],[f56]) ).
thf(f199,plain,
( subrel
= ( ^ [Y0: $i > $i > $o,Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f198]) ).
thf(f212,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f99]) ).
thf(f230,plain,
( ( subrel @ a1 @ a3 )
= $true ),
inference(cnf_transformation,[],[f173]) ).
thf(f234,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f107]) ).
thf(f237,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f142]) ).
thf(f241,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f244,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f115]) ).
thf(f250,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f109]) ).
thf(f253,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f256,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f87]) ).
thf(f260,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f151]) ).
thf(f264,plain,
( ( mserial @ a1 )
= $true ),
inference(cnf_transformation,[],[f195]) ).
thf(f268,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(cnf_transformation,[],[f95]) ).
thf(f273,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ Y0 @ Y1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( mbox @ a2 @ ( likes @ Y0 @ Y1 ) ) ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f80]) ).
thf(f277,plain,
( ( msymmetric @ a1 )
= $true ),
inference(cnf_transformation,[],[f153]) ).
thf(f278,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f189]) ).
thf(f279,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f283,plain,
( subrel
= ( ^ [Y0: $i > $i > $o,Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f199]) ).
thf(f286,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f244,f279,f234,f279,f279]) ).
thf(f287,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f256,f234,f279]) ).
thf(f291,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f278,f279,f241,f279]) ).
thf(f295,plain,
( ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f212,f250,f291,f291]) ).
thf(f309,plain,
( $true
= ( ^ [Y0: $i > $i > $o,Y1: $i > $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
@ a1
@ a3 ) ),
inference(definition_unfolding,[],[f230,f283]) ).
thf(f325,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a1 ) ),
inference(definition_unfolding,[],[f264,f260]) ).
thf(f328,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ a1
@ ( likes @ piotr @ beer ) ) )
= $true ),
inference(definition_unfolding,[],[f268,f250,f253]) ).
thf(f331,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a3
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( likes @ Y0 @ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) ) ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f273,f250,f241,f241,f253,f287,f286,f286,f253,f253]) ).
thf(f332,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ a1 ) ),
inference(definition_unfolding,[],[f277,f237]) ).
thf(f335,definition,
( sF0
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f336,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f335]) ).
thf(f337,definition,
( sF1 = ( ~ sF0 ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f338,plain,
$true = sF1,
inference(definition_folding,[],[f295,f337,f336]) ).
thf(f344,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a3 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f309]) ).
thf(f349,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f332]) ).
thf(f350,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ piotr @ beer @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f328]) ).
thf(f359,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f331]) ).
thf(f360,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f359]) ).
thf(f361,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f360]) ).
thf(f368,plain,
( sF0
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f336]) ).
thf(f369,plain,
( sF0
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f368]) ).
thf(f385,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f325]) ).
thf(f394,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f385]) ).
thf(f395,plain,
! [X1: $i] :
( ( ?? @ $i @ ( a1 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f394]) ).
thf(f396,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a3 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f344]) ).
thf(f397,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a3 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f398,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a3 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f397]) ).
thf(f399,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( a1 @ X2 @ X1 )
=> ( a3 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f398]) ).
thf(f409,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f349]) ).
thf(f410,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f409]) ).
thf(f411,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f410]) ).
thf(f412,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X2 @ X1 )
=> ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f411]) ).
thf(f427,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ piotr @ beer @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f350]) ).
thf(f428,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f427]) ).
thf(f429,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f428]) ).
thf(f430,plain,
! [X2: $i,X1: $i] :
( ( ~ ( a1 @ X1 @ X2 )
| ( likes @ piotr @ beer @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f429]) ).
thf(f443,plain,
( $true = ( ~ sF0 ) ),
inference(forward_demodulation,[],[f337,f338]) ).
thf(f756,plain,
sF0 = $false,
inference(not_proxy_clausification,[],[f443]) ).
thf(f853,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(backward_demodulation,[],[f369,f756]) ).
thf(f861,plain,
( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f853]) ).
thf(f867,plain,
( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK4 ) ) ) ) ),
inference(beta-eta_normalization,[],[f861]) ).
thf(f869,plain,
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK4 ) ) ) ),
inference(not_proxy_clausification,[],[f867]) ).
thf(f887,plain,
! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK4 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f869]) ).
thf(f894,plain,
! [X1: mu] :
( ( !! @ mu
@ ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK4 ) )
= $true ),
inference(beta-eta_normalization,[],[f887]) ).
thf(f898,plain,
! [X2: mu,X1: mu] :
( ( ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK4 )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f894]) ).
thf(f903,plain,
! [X2: mu,X1: mu] :
( $true
= ( ~ ( very_much_likes @ X1 @ X2 @ sK4 ) ) ),
inference(beta-eta_normalization,[],[f898]) ).
thf(f1187,plain,
! [X1: $i] :
( $true
= ( a1 @ X1 @ ( sK7 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f395]) ).
thf(f1696,plain,
! [X2: mu,X1: mu] :
( $false
= ( very_much_likes @ X1 @ X2 @ sK4 ) ),
inference(not_proxy_clausification,[],[f903]) ).
thf(f1816,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f361]) ).
thf(f1823,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1816]) ).
thf(f1826,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f1823]) ).
thf(f1832,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1826]) ).
thf(f1836,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f1832]) ).
thf(f1842,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1836]) ).
thf(f1846,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 ) )
@ X4 )
= $true ),
inference(pi_proxy_clausification,[],[f1842]) ).
thf(f1851,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ~ ( a3 @ X1 @ X4 )
| ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f1846]) ).
thf(f1941,plain,
! [X2: mu,X0: $i,X1: mu] :
( $true
= ( ~ ( a3 @ X0 @ sK4 )
| $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( likes @ X1 @ X2 @ sK4 ) ) ),
inference(constrained_superposition,[],[f1851,f1696]) ).
thf(f2038,plain,
! [X2: mu,X0: $i,X1: mu] :
( $true
= ( ~ ( a3 @ X0 @ sK4 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( likes @ X1 @ X2 @ sK4 ) ) ),
inference(boolean_simplification,[],[f1941]) ).
thf(f2621,plain,
! [X0: $i] :
( ( $true
=> ( a1 @ ( sK7 @ X0 ) @ X0 ) )
= $true ),
inference(constrained_superposition,[],[f412,f1187]) ).
thf(f2631,plain,
! [X0: $i] :
( $true
= ( a1 @ ( sK7 @ X0 ) @ X0 ) ),
inference(boolean_simplification,[],[f2621]) ).
thf(f2645,plain,
! [X0: $i] :
( $true
= ( $true
=> ( a3 @ ( sK7 @ X0 ) @ X0 ) ) ),
inference(constrained_superposition,[],[f399,f2631]) ).
thf(f2649,plain,
! [X0: $i] :
( $true
= ( a3 @ ( sK7 @ X0 ) @ X0 ) ),
inference(boolean_simplification,[],[f2645]) ).
thf(f2667,plain,
! [X0: mu,X1: mu] :
( ( ~ $true
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( likes @ X0 @ X1 @ sK4 ) )
= $true ),
inference(constrained_superposition,[],[f2038,f2649]) ).
thf(f2671,plain,
! [X0: mu,X1: mu] :
( ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( likes @ X0 @ X1 @ sK4 ) )
= $true ),
inference(boolean_simplification,[],[f2667]) ).
thf(f2672,plain,
! [X0: mu,X1: mu] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ X0 @ X1 @ Y0 ) ) )
| ~ ( likes @ X0 @ X1 @ sK4 ) )
= $true ),
inference(boolean_simplification,[],[f2671]) ).
thf(f3074,plain,
! [X0: $i] :
( ( ~ $true
| ( likes @ piotr @ beer @ X0 ) )
= $true ),
inference(constrained_superposition,[],[f430,f2631]) ).
thf(f3100,plain,
! [X0: $i] :
( ( $false
| ( likes @ piotr @ beer @ X0 ) )
= $true ),
inference(boolean_simplification,[],[f3074]) ).
thf(f3101,plain,
! [X0: $i] :
( ( likes @ piotr @ beer @ X0 )
= $true ),
inference(boolean_simplification,[],[f3100]) ).
thf(f3111,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| ~ $true ) ),
inference(constrained_superposition,[],[f2672,f3101]) ).
thf(f3114,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| $false )
= $true ),
inference(boolean_simplification,[],[f3111]) ).
thf(f3115,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f3114]) ).
thf(f3123,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| ~ $true ) ),
inference(forward_demodulation,[],[f3115,f428]) ).
thf(f3124,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) )
| $false ) ),
inference(boolean_simplification,[],[f3123]) ).
thf(f3125,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f3124]) ).
thf(f3128,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f3125]) ).
thf(f3147,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ sK4 @ Y0 )
| ( likes @ piotr @ beer @ Y0 ) )
@ sK9 ) ),
inference(sigma_proxy_clausification,[],[f3128]) ).
thf(f3151,plain,
( $false
= ( ~ ( a2 @ sK4 @ sK9 )
| ( likes @ piotr @ beer @ sK9 ) ) ),
inference(beta-eta_normalization,[],[f3147]) ).
thf(f3156,plain,
( ( ~ ( a2 @ sK4 @ sK9 )
| $true )
= $false ),
inference(forward_demodulation,[],[f3151,f3101]) ).
thf(f3157,plain,
$false = $true,
inference(boolean_simplification,[],[f3156]) ).
thf(f3158,plain,
$false,
inference(trivial_inequality_removal,[],[f3157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT031^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n019.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 17:29:41 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running higher-order theorem proving
% 0.23/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.48 % (1119048)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.48 % (1119059)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.48 % (1119059)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.54/0.48 % (1119059)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=815025035:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.48 % (1119053)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3379073741:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.48 % (1119055)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1357924659:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.48 % (1119054)lrs+10_16_si=on:nwc=1.5:random_seed=4159649795:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.48 % (1119057)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1563244684:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.48 % (1119058)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4084572965:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.48 % (1119056)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=756612113:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.54/0.48 % (1119055)Instruction limit reached!
% 0.54/0.48 % (1119055)------------------------------
% 0.54/0.48 % (1119055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.48 % (1119055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.48 % (1119055)CaDiCaL version: 2.1.3
% 0.54/0.48 % (1119055)Termination reason: Instruction limit
% 0.54/0.48 % (1119055)Termination phase: shuffling
% 0.54/0.48 % (1119055)Time elapsed: 0.003 s
% 0.54/0.48 % (1119055)Peak memory usage: 9 MB
% 0.54/0.48 % (1119055)Instructions burned: 3 (million)
% 0.54/0.48 % (1119054)Instruction limit reached!
% 0.54/0.48 % (1119054)------------------------------
% 0.54/0.48 % (1119054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.48 % (1119054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.48 % (1119054)CaDiCaL version: 2.1.3
% 0.54/0.48 % (1119054)Termination reason: Instruction limit
% 0.54/0.48 % (1119054)Termination phase: Property scanning
% 0.54/0.48 % (1119054)Time elapsed: 0.015 s
% 0.54/0.48 % (1119054)Peak memory usage: 10 MB
% 0.54/0.48 % (1119054)Instructions burned: 18 (million)
% 0.54/0.48 % (1119057)Instruction limit reached!
% 0.54/0.48 % (1119057)------------------------------
% 0.54/0.48 % (1119057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.48 % (1119057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.48 % (1119057)CaDiCaL version: 2.1.3
% 0.54/0.48 % (1119057)Termination reason: Instruction limit
% 0.54/0.48 % (1119057)Termination phase: Saturation
% 0.54/0.48 % (1119057)Time elapsed: 0.022 s
% 0.54/0.48 % (1119057)Peak memory usage: 11 MB
% 0.54/0.48 % (1119057)Instructions burned: 24 (million)
% 0.54/0.48 % (1119067)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2484075052:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.48 % (1119069)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.48 % (1119067)Instruction limit reached!
% 0.54/0.48 % (1119067)------------------------------
% 0.54/0.48 % (1119067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.48 % (1119067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.48 % (1119067)CaDiCaL version: 2.1.3
% 0.54/0.48 % (1119067)Termination reason: Instruction limit
% 0.54/0.48 % (1119067)Termination phase: shuffling
% 0.54/0.48 % (1119067)Time elapsed: 0.003 s
% 0.54/0.48 % (1119067)Peak memory usage: 10 MB
% 0.54/0.48 % (1119067)Instructions burned: 3 (million)
% 1.24/0.53 % (1119069)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=421697837:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.24/0.53 % (1119068)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2505144520:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.24/0.53 % (1119069)Instruction limit reached!
% 1.24/0.53 % (1119069)------------------------------
% 1.24/0.53 % (1119069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.53 % (1119069)CaDiCaL version: 2.1.3
% 1.24/0.53 % (1119069)Termination reason: Instruction limit
% 1.24/0.53 % (1119069)Termination phase: Property scanning
% 1.24/0.53 % (1119069)Time elapsed: 0.004 s
% 1.24/0.53 % (1119069)Peak memory usage: 10 MB
% 1.24/0.53 % (1119069)Instructions burned: 8 (million)
% 1.24/0.53 % (1119068)Instruction limit reached!
% 1.24/0.53 % (1119068)------------------------------
% 1.24/0.53 % (1119068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.53 % (1119068)CaDiCaL version: 2.1.3
% 1.24/0.53 % (1119068)Termination reason: Instruction limit
% 1.24/0.53 % (1119068)Termination phase: Property scanning
% 1.24/0.53 % (1119068)Time elapsed: 0.005 s
% 1.24/0.53 % (1119068)Peak memory usage: 10 MB
% 1.24/0.53 % (1119068)Instructions burned: 5 (million)
% 1.24/0.53 % (1119059)Instruction limit reached!
% 1.24/0.53 % (1119059)------------------------------
% 1.24/0.53 % (1119059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.53 % (1119059)CaDiCaL version: 2.1.3
% 1.24/0.53 % (1119059)Termination reason: Instruction limit
% 1.24/0.53 % (1119059)Termination phase: Saturation
% 1.24/0.53 % (1119059)Time elapsed: 0.071 s
% 1.24/0.53 % (1119059)Peak memory usage: 12 MB
% 1.24/0.53 % (1119059)Instructions burned: 159 (million)
% 1.24/0.53 % (1119058)Instruction limit reached!
% 1.24/0.53 % (1119058)------------------------------
% 1.24/0.53 % (1119058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.53 % (1119058)CaDiCaL version: 2.1.3
% 1.24/0.53 % (1119058)Termination reason: Instruction limit
% 1.24/0.53 % (1119058)Termination phase: Saturation
% 1.24/0.53 % (1119058)Time elapsed: 0.065 s
% 1.24/0.53 % (1119058)Peak memory usage: 12 MB
% 1.24/0.53 % (1119058)Instructions burned: 76 (million)
% 1.24/0.53 % (1119074)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.24/0.53 % (1119074)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.24/0.53 % (1119053)Instruction limit reached!
% 1.24/0.53 % (1119053)------------------------------
% 1.24/0.53 % (1119053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.53 % (1119053)CaDiCaL version: 2.1.3
% 1.24/0.53 % (1119053)Termination reason: Instruction limit
% 1.24/0.53 % (1119053)Termination phase: Saturation
% 1.24/0.53 % (1119053)Time elapsed: 0.075 s
% 1.24/0.53 % (1119053)Peak memory usage: 12 MB
% 1.24/0.53 % (1119053)Instructions burned: 87 (million)
% 1.24/0.53 % (1119074)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=873413241:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.24/0.53 % (1119071)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2051365500:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.24/0.53 % (1119076)lrs+10_1_si=on:cs=on:random_seed=2671554114:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.24/0.53 % (1119076)Instruction limit reached!
% 1.24/0.53 % (1119076)------------------------------
% 1.24/0.53 % (1119076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.53 % (1119076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119076)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119076)Termination reason: Instruction limit
% 1.24/0.57 % (1119076)Termination phase: Property scanning
% 1.24/0.57 % (1119076)Time elapsed: 0.003 s
% 1.24/0.57 % (1119076)Peak memory usage: 10 MB
% 1.24/0.57 % (1119076)Instructions burned: 9 (million)
% 1.24/0.57 % (1119077)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.24/0.57 % (1119071)Instruction limit reached!
% 1.24/0.57 % (1119071)------------------------------
% 1.24/0.57 % (1119071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.57 % (1119071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119071)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119071)Termination reason: Instruction limit
% 1.24/0.57 % (1119071)Termination phase: Property scanning
% 1.24/0.57 % (1119071)Time elapsed: 0.010 s
% 1.24/0.57 % (1119071)Peak memory usage: 10 MB
% 1.24/0.57 % (1119071)Instructions burned: 12 (million)
% 1.24/0.57 % (1119077)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3203756771:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.24/0.57 % (1119075)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=188240860:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.24/0.57 % (1119077)Instruction limit reached!
% 1.24/0.57 % (1119077)------------------------------
% 1.24/0.57 % (1119077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.57 % (1119077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119077)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119077)Termination reason: Instruction limit
% 1.24/0.57 % (1119077)Termination phase: Property scanning
% 1.24/0.57 % (1119077)Time elapsed: 0.004 s
% 1.24/0.57 % (1119077)Peak memory usage: 9 MB
% 1.24/0.57 % (1119077)Instructions burned: 6 (million)
% 1.24/0.57 % (1119074)Instruction limit reached!
% 1.24/0.57 % (1119074)------------------------------
% 1.24/0.57 % (1119074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.57 % (1119074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119074)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119074)Termination reason: Instruction limit
% 1.24/0.57 % (1119074)Termination phase: Saturation
% 1.24/0.57 % (1119074)Time elapsed: 0.023 s
% 1.24/0.57 % (1119074)Peak memory usage: 11 MB
% 1.24/0.57 % (1119074)Instructions burned: 29 (million)
% 1.24/0.57 % (1119078)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3255496992:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.24/0.57 % (1119086)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1010245537:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.24/0.57 % (1119082)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3177159434:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.24/0.57 % (1119078)Refutation not found, incomplete strategy
% 1.24/0.57 % (1119078)------------------------------
% 1.24/0.57 % (1119078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.57 % (1119078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119078)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119078)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.57 % (1119078)Time elapsed: 0.012 s
% 1.24/0.57 % (1119078)Peak memory usage: 12 MB
% 1.24/0.57 % (1119078)Instructions burned: 12 (million)
% 1.24/0.57 % (1119083)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1135988618:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.24/0.57 % (1119086)Instruction limit reached!
% 1.24/0.57 % (1119086)------------------------------
% 1.24/0.57 % (1119086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.24/0.57 % (1119086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.24/0.57 % (1119086)CaDiCaL version: 2.1.3
% 1.24/0.57 % (1119086)Termination reason: Instruction limit
% 1.24/0.57 % (1119086)Termination phase: Property scanning
% 2.20/0.65 % (1119086)Time elapsed: 0.006 s
% 2.20/0.65 % (1119086)Peak memory usage: 10 MB
% 2.20/0.65 % (1119086)Instructions burned: 14 (million)
% 2.20/0.65 % (1119078)------------------------------
% 2.20/0.65 % (1119078)------------------------------
% 2.20/0.65 % (1119082)Refutation not found, incomplete strategy
% 2.20/0.65 % (1119082)------------------------------
% 2.20/0.65 % (1119082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (1119082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (1119082)CaDiCaL version: 2.1.3
% 2.20/0.65 % (1119082)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.65 % (1119082)Time elapsed: 0.011 s
% 2.20/0.65 % (1119082)Peak memory usage: 12 MB
% 2.20/0.65 % (1119082)Instructions burned: 13 (million)
% 2.20/0.65 % (1119082)------------------------------
% 2.20/0.65 % (1119082)------------------------------
% 2.20/0.65 % (1119087)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=585000648:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.20/0.65 % (1119093)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3939181815:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.20/0.65 % (1119093)Instruction limit reached!
% 2.20/0.65 % (1119093)------------------------------
% 2.20/0.65 % (1119093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (1119093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (1119093)CaDiCaL version: 2.1.3
% 2.20/0.65 % (1119093)Termination reason: Instruction limit
% 2.20/0.65 % (1119093)Termination phase: Property scanning
% 2.20/0.65 % (1119093)Time elapsed: 0.006 s
% 2.20/0.65 % (1119093)Peak memory usage: 10 MB
% 2.20/0.65 % (1119093)Instructions burned: 15 (million)
% 2.20/0.65 % (1119083)Instruction limit reached!
% 2.20/0.65 % (1119083)------------------------------
% 2.20/0.65 % (1119083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (1119083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (1119083)CaDiCaL version: 2.1.3
% 2.20/0.65 % (1119083)Termination reason: Instruction limit
% 2.20/0.65 % (1119083)Termination phase: Saturation
% 2.20/0.65 % (1119083)Time elapsed: 0.024 s
% 2.20/0.65 % (1119083)Peak memory usage: 12 MB
% 2.20/0.65 % (1119083)Instructions burned: 25 (million)
% 2.20/0.65 % (1119094)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3659113058:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.20/0.65 % (1119094)Instruction limit reached!
% 2.20/0.65 % (1119094)------------------------------
% 2.20/0.65 % (1119094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (1119094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (1119094)CaDiCaL version: 2.1.3
% 2.20/0.65 % (1119094)Termination reason: Instruction limit
% 2.20/0.65 % (1119094)Termination phase: shuffling
% 2.20/0.65 % (1119094)Time elapsed: 0.003 s
% 2.20/0.65 % (1119094)Peak memory usage: 9 MB
% 2.20/0.65 % (1119094)Instructions burned: 3 (million)
% 2.20/0.65 % (1119095)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3735609685:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.20/0.65 % (1119100)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1777219697:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.20/0.65 % (1119099)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=952586584:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.20/0.65 % (1119075)Instruction limit reached!
% 2.20/0.65 % (1119075)------------------------------
% 2.20/0.65 % (1119075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.65 % (1119075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.65 % (1119075)CaDiCaL version: 2.1.3
% 2.20/0.65 % (1119075)Termination reason: Instruction limit
% 2.20/0.65 % (1119075)Termination phase: Saturation
% 2.20/0.65 % (1119075)Time elapsed: 0.076 s
% 2.20/0.65 % (1119075)Peak memory usage: 13 MB
% 2.20/0.65 % (1119075)Instructions burned: 86 (million)
% 2.20/0.65 % (1119099)Instruction limit reached!
% 2.20/0.65 % (1119099)------------------------------
% 2.20/0.65 % (1119099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.72 % (1119099)CaDiCaL version: 2.1.3
% 2.46/0.72 % (1119099)Termination reason: Instruction limit
% 2.46/0.72 % (1119099)Termination phase: Saturation
% 2.46/0.72 % (1119099)Time elapsed: 0.011 s
% 2.46/0.72 % (1119099)Peak memory usage: 11 MB
% 2.46/0.72 % (1119099)Instructions burned: 23 (million)
% 2.46/0.72 % (1119095)Instruction limit reached!
% 2.46/0.72 % (1119095)------------------------------
% 2.46/0.72 % (1119095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.72 % (1119095)CaDiCaL version: 2.1.3
% 2.46/0.72 % (1119095)Termination reason: Instruction limit
% 2.46/0.72 % (1119095)Termination phase: Saturation
% 2.46/0.72 % (1119095)Time elapsed: 0.022 s
% 2.46/0.72 % (1119095)Peak memory usage: 11 MB
% 2.46/0.72 % (1119095)Instructions burned: 26 (million)
% 2.46/0.72 % (1119103)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.46/0.72 % (1119103)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.46/0.72 % (1119103)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2622175743:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.46/0.72 % (1119100)Instruction limit reached!
% 2.46/0.72 % (1119100)------------------------------
% 2.46/0.72 % (1119100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.72 % (1119100)CaDiCaL version: 2.1.3
% 2.46/0.72 % (1119100)Termination reason: Instruction limit
% 2.46/0.72 % (1119100)Termination phase: Saturation
% 2.46/0.72 % (1119100)Time elapsed: 0.028 s
% 2.46/0.72 % (1119100)Peak memory usage: 13 MB
% 2.46/0.72 % (1119100)Instructions burned: 60 (million)
% 2.46/0.72 % (1119106)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.46/0.72 % (1119106)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3905171180:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.46/0.72 % (1119103)Instruction limit reached!
% 2.46/0.72 % (1119103)------------------------------
% 2.46/0.72 % (1119103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.72 % (1119103)CaDiCaL version: 2.1.3
% 2.46/0.72 % (1119103)Termination reason: Instruction limit
% 2.46/0.72 % (1119103)Termination phase: Property scanning
% 2.46/0.72 % (1119103)Time elapsed: 0.011 s
% 2.46/0.72 % (1119103)Peak memory usage: 10 MB
% 2.46/0.72 % (1119103)Instructions burned: 14 (million)
% 2.46/0.72 % (1119107)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3740780996:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.46/0.72 % (1119108)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1198539569:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.46/0.72 % (1119106)Instruction limit reached!
% 2.46/0.72 % (1119106)------------------------------
% 2.46/0.72 % (1119106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.72 % (1119106)CaDiCaL version: 2.1.3
% 2.46/0.72 % (1119106)Termination reason: Instruction limit
% 2.46/0.72 % (1119106)Termination phase: SInE selection
% 2.46/0.72 % (1119106)Time elapsed: 0.007 s
% 2.46/0.72 % (1119106)Peak memory usage: 10 MB
% 2.46/0.72 % (1119106)Instructions burned: 8 (million)
% 2.46/0.72 % (1119108)Instruction limit reached!
% 2.46/0.72 % (1119108)------------------------------
% 2.46/0.72 % (1119108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.72 % (1119108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (1119108)CaDiCaL version: 2.1.3
% 2.46/0.80 % (1119108)Termination reason: Instruction limit
% 2.46/0.80 % (1119108)Termination phase: Property scanning
% 2.46/0.80 % (1119108)Time elapsed: 0.003 s
% 2.46/0.80 % (1119108)Peak memory usage: 10 MB
% 2.46/0.80 % (1119108)Instructions burned: 7 (million)
% 2.46/0.80 % (1119110)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1388243904:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.46/0.80 % (1119115)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=567402858:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.46/0.80 % (1119107)Instruction limit reached!
% 2.46/0.80 % (1119107)------------------------------
% 2.46/0.80 % (1119107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (1119107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (1119107)CaDiCaL version: 2.1.3
% 2.46/0.80 % (1119107)Termination reason: Instruction limit
% 2.46/0.80 % (1119107)Termination phase: Saturation
% 2.46/0.80 % (1119107)Time elapsed: 0.029 s
% 2.46/0.80 % (1119107)Peak memory usage: 12 MB
% 2.46/0.80 % (1119107)Instructions burned: 32 (million)
% 2.46/0.80 % (1119112)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1322971002:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.46/0.80 % (1119116)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3097650392:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.46/0.80 % (1119110)Instruction limit reached!
% 2.46/0.80 % (1119110)------------------------------
% 2.46/0.80 % (1119110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (1119110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (1119110)CaDiCaL version: 2.1.3
% 2.46/0.80 % (1119110)Termination reason: Instruction limit
% 2.46/0.80 % (1119110)Termination phase: Saturation
% 2.46/0.80 % (1119110)Time elapsed: 0.019 s
% 2.46/0.80 % (1119110)Peak memory usage: 12 MB
% 2.46/0.80 % (1119110)Instructions burned: 23 (million)
% 2.46/0.80 % (1119112)Instruction limit reached!
% 2.46/0.80 % (1119112)------------------------------
% 2.46/0.80 % (1119112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (1119112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (1119112)CaDiCaL version: 2.1.3
% 2.46/0.80 % (1119112)Termination reason: Instruction limit
% 2.46/0.80 % (1119112)Termination phase: Saturation
% 2.46/0.80 % (1119112)Time elapsed: 0.018 s
% 2.46/0.80 % (1119112)Peak memory usage: 12 MB
% 2.46/0.80 % (1119112)Instructions burned: 20 (million)
% 2.46/0.80 % (1119119)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2813701016:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.46/0.80 % (1119119)Refutation not found, incomplete strategy
% 2.46/0.80 % (1119119)------------------------------
% 2.46/0.80 % (1119119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.80 % (1119119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.80 % (1119119)CaDiCaL version: 2.1.3
% 2.46/0.80 % (1119119)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.80 % (1119119)Time elapsed: 0.013 s
% 2.46/0.80 % (1119119)Peak memory usage: 12 MB
% 2.46/0.80 % (1119119)Instructions burned: 24 (million)
% 2.46/0.80 % (1119119)------------------------------
% 2.46/0.80 % (1119119)------------------------------
% 2.46/0.80 % (1119122)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4180550768:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.46/0.80 % (1119124)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.46/0.80 % (1119124)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2363202722:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.46/0.80 % (1119125)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=405792944:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.46/0.80 % (1119124)Instruction limit reached!
% 2.46/0.80 % (1119124)------------------------------
% 2.46/0.80 % (1119124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119124)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119124)Termination reason: Instruction limit
% 3.38/0.93 % (1119124)Termination phase: Property scanning
% 3.38/0.93 % (1119124)Time elapsed: 0.006 s
% 3.38/0.93 % (1119124)Peak memory usage: 10 MB
% 3.38/0.93 % (1119124)Instructions burned: 7 (million)
% 3.38/0.93 % (1119125)Refutation not found, incomplete strategy
% 3.38/0.93 % (1119125)------------------------------
% 3.38/0.93 % (1119125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119125)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119125)Termination reason: Refutation not found, incomplete strategy
% 3.38/0.93 % (1119125)Time elapsed: 0.012 s
% 3.38/0.93 % (1119125)Peak memory usage: 12 MB
% 3.38/0.93 % (1119125)Instructions burned: 13 (million)
% 3.38/0.93 % (1119125)------------------------------
% 3.38/0.93 % (1119125)------------------------------
% 3.38/0.93 % (1119122)Instruction limit reached!
% 3.38/0.93 % (1119122)------------------------------
% 3.38/0.93 % (1119122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119122)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119122)Termination reason: Instruction limit
% 3.38/0.93 % (1119122)Termination phase: Saturation
% 3.38/0.93 % (1119122)Time elapsed: 0.035 s
% 3.38/0.93 % (1119122)Peak memory usage: 12 MB
% 3.38/0.93 % (1119122)Instructions burned: 42 (million)
% 3.38/0.93 % (1119129)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2774662056:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.38/0.93 % (1119130)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.38/0.93 % (1119130)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1949358892:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.38/0.93 % (1119130)Instruction limit reached!
% 3.38/0.93 % (1119130)------------------------------
% 3.38/0.93 % (1119130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119130)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119130)Termination reason: Instruction limit
% 3.38/0.93 % (1119130)Termination phase: SInE selection
% 3.38/0.93 % (1119130)Time elapsed: 0.006 s
% 3.38/0.93 % (1119130)Peak memory usage: 10 MB
% 3.38/0.93 % (1119130)Instructions burned: 7 (million)
% 3.38/0.93 % (1119131)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=935138841:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.38/0.93 % (1119129)Refutation not found, incomplete strategy
% 3.38/0.93 % (1119129)------------------------------
% 3.38/0.93 % (1119129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119129)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119129)Termination reason: Refutation not found, incomplete strategy
% 3.38/0.93 % (1119129)Time elapsed: 0.023 s
% 3.38/0.93 % (1119129)Peak memory usage: 12 MB
% 3.38/0.93 % (1119129)Instructions burned: 27 (million)
% 3.38/0.93 % (1119129)------------------------------
% 3.38/0.93 % (1119129)------------------------------
% 3.38/0.93 % (1119131)Instruction limit reached!
% 3.38/0.93 % (1119131)------------------------------
% 3.38/0.93 % (1119131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119116)Instruction limit reached!
% 3.38/0.93 % (1119116)------------------------------
% 3.38/0.93 % (1119116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/0.93 % (1119116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/0.93 % (1119116)CaDiCaL version: 2.1.3
% 3.38/0.93 % (1119116)Termination reason: Instruction limit
% 3.38/0.93 % (1119116)Termination phase: Saturation
% 3.38/0.93 % (1119116)Time elapsed: 0.124 s
% 3.38/0.93 % (1119116)Peak memory usage: 13 MB
% 3.38/0.93 % (1119116)Instructions burned: 144 (million)
% 3.38/1.04 % (1119131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.04 % (1119131)CaDiCaL version: 2.1.3
% 3.38/1.04 % (1119131)Termination reason: Instruction limit
% 3.38/1.04 % (1119131)Termination phase: Saturation
% 3.38/1.04 % (1119131)Time elapsed: 0.018 s
% 3.38/1.04 % (1119131)Peak memory usage: 11 MB
% 3.38/1.04 % (1119131)Instructions burned: 22 (million)
% 3.38/1.04 % (1119134)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=876993909:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.38/1.04 % (1119134)Instruction limit reached!
% 3.38/1.04 % (1119134)------------------------------
% 3.38/1.04 % (1119134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/1.04 % (1119134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.04 % (1119134)CaDiCaL version: 2.1.3
% 3.38/1.04 % (1119134)Termination reason: Instruction limit
% 3.38/1.04 % (1119134)Termination phase: Saturation
% 3.38/1.04 % (1119134)Time elapsed: 0.009 s
% 3.38/1.04 % (1119134)Peak memory usage: 12 MB
% 3.38/1.04 % (1119134)Instructions burned: 19 (million)
% 3.38/1.04 % (1119136)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1210494665:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.38/1.04 % (1119140)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=780109068:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.38/1.04 % (1119087)Instruction limit reached!
% 3.38/1.04 % (1119087)------------------------------
% 3.38/1.04 % (1119087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/1.04 % (1119087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.04 % (1119087)CaDiCaL version: 2.1.3
% 3.38/1.04 % (1119087)Termination reason: Instruction limit
% 3.38/1.04 % (1119087)Termination phase: Saturation
% 3.38/1.04 % (1119087)Time elapsed: 0.265 s
% 3.38/1.04 % (1119087)Peak memory usage: 13 MB
% 3.38/1.04 % (1119087)Instructions burned: 327 (million)
% 3.38/1.04 % (1119138)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2711998642:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.38/1.04 % (1119139)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3657850978:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.38/1.04 % (1119140)Refutation not found, incomplete strategy
% 3.38/1.04 % (1119140)------------------------------
% 3.38/1.04 % (1119140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.38/1.04 % (1119140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.04 % (1119140)CaDiCaL version: 2.1.3
% 3.38/1.04 % (1119140)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.04 % (1119140)Time elapsed: 0.017 s
% 3.38/1.04 % (1119140)Peak memory usage: 12 MB
% 3.38/1.04 % (1119140)Instructions burned: 18 (million)
% 5.15/1.04 % (1119140)------------------------------
% 5.15/1.04 % (1119140)------------------------------
% 5.15/1.04 % (1119144)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2448707361:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 5.15/1.04 % (1119144)Instruction limit reached!
% 5.15/1.04 % (1119144)------------------------------
% 5.15/1.04 % (1119144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.04 % (1119144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.04 % (1119144)CaDiCaL version: 2.1.3
% 5.15/1.04 % (1119144)Termination reason: Instruction limit
% 5.15/1.04 % (1119144)Termination phase: Saturation
% 5.15/1.04 % (1119144)Time elapsed: 0.011 s
% 5.15/1.04 % (1119144)Peak memory usage: 11 MB
% 5.15/1.04 % (1119144)Instructions burned: 22 (million)
% 5.15/1.04 % (1119139)Instruction limit reached!
% 5.15/1.04 % (1119139)------------------------------
% 5.15/1.04 % (1119139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.15/1.04 % (1119139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119139)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119139)Termination reason: Instruction limit
% 5.46/1.16 % (1119139)Termination phase: Saturation
% 5.46/1.16 % (1119139)Time elapsed: 0.036 s
% 5.46/1.16 % (1119139)Peak memory usage: 12 MB
% 5.46/1.16 % (1119139)Instructions burned: 45 (million)
% 5.46/1.16 % (1119146)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.46/1.16 % (1119146)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2876580158:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 5.46/1.16 % (1119148)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1761525030:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 5.46/1.16 % (1119148)Instruction limit reached!
% 5.46/1.16 % (1119148)------------------------------
% 5.46/1.16 % (1119148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.16 % (1119148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119148)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119148)Termination reason: Instruction limit
% 5.46/1.16 % (1119148)Termination phase: Property scanning
% 5.46/1.16 % (1119148)Time elapsed: 0.012 s
% 5.46/1.16 % (1119148)Peak memory usage: 10 MB
% 5.46/1.16 % (1119148)Instructions burned: 14 (million)
% 5.46/1.16 % (1119149)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=119957503:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 5.46/1.16 % (1119153)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=661344662:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.46/1.16 % (1119153)Refutation not found, incomplete strategy
% 5.46/1.16 % (1119153)------------------------------
% 5.46/1.16 % (1119153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.16 % (1119153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119153)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119153)Termination reason: Refutation not found, incomplete strategy
% 5.46/1.16 % (1119153)Time elapsed: 0.021 s
% 5.46/1.16 % (1119153)Peak memory usage: 12 MB
% 5.46/1.16 % (1119153)Instructions burned: 40 (million)
% 5.46/1.16 % (1119153)------------------------------
% 5.46/1.16 % (1119153)------------------------------
% 5.46/1.16 % (1119149)Instruction limit reached!
% 5.46/1.16 % (1119149)------------------------------
% 5.46/1.16 % (1119149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.16 % (1119149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119149)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119149)Termination reason: Instruction limit
% 5.46/1.16 % (1119149)Termination phase: Saturation
% 5.46/1.16 % (1119149)Time elapsed: 0.055 s
% 5.46/1.16 % (1119149)Peak memory usage: 13 MB
% 5.46/1.16 % (1119149)Instructions burned: 66 (million)
% 5.46/1.16 % (1119155)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2979201619:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.46/1.16 % (1119156)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3419598612:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.46/1.16 % (1119155)Instruction limit reached!
% 5.46/1.16 % (1119155)------------------------------
% 5.46/1.16 % (1119155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.16 % (1119155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119155)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119155)Termination reason: Instruction limit
% 5.46/1.16 % (1119155)Termination phase: Saturation
% 5.46/1.16 % (1119155)Time elapsed: 0.026 s
% 5.46/1.16 % (1119155)Peak memory usage: 11 MB
% 5.46/1.16 % (1119155)Instructions burned: 31 (million)
% 5.46/1.16 % (1119056)Instruction limit reached!
% 5.46/1.16 % (1119056)------------------------------
% 5.46/1.16 % (1119056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.46/1.16 % (1119056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.16 % (1119056)CaDiCaL version: 2.1.3
% 5.46/1.16 % (1119056)Termination reason: Instruction limit
% 6.16/1.33 % (1119056)Termination phase: Saturation
% 6.16/1.33 % (1119056)Time elapsed: 0.568 s
% 6.16/1.33 % (1119056)Peak memory usage: 16 MB
% 6.16/1.33 % (1119056)Instructions burned: 634 (million)
% 6.16/1.33 % (1119159)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=691854226:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.16/1.33 % (1119160)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2940363481:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 6.16/1.33 % (1119159)Instruction limit reached!
% 6.16/1.33 % (1119159)------------------------------
% 6.16/1.33 % (1119159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119159)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119159)Termination reason: Instruction limit
% 6.16/1.33 % (1119159)Termination phase: Saturation
% 6.16/1.33 % (1119159)Time elapsed: 0.019 s
% 6.16/1.33 % (1119159)Peak memory usage: 11 MB
% 6.16/1.33 % (1119159)Instructions burned: 35 (million)
% 6.16/1.33 % (1119146)Instruction limit reached!
% 6.16/1.33 % (1119146)------------------------------
% 6.16/1.33 % (1119146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119146)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119146)Termination reason: Instruction limit
% 6.16/1.33 % (1119146)Termination phase: Saturation
% 6.16/1.33 % (1119146)Time elapsed: 0.172 s
% 6.16/1.33 % (1119146)Peak memory usage: 13 MB
% 6.16/1.33 % (1119146)Instructions burned: 201 (million)
% 6.16/1.33 % (1119163)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.16/1.33 % (1119163)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2238502357:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 6.16/1.33 % (1119160)Refutation not found, incomplete strategy
% 6.16/1.33 % (1119160)------------------------------
% 6.16/1.33 % (1119160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119160)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119160)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.33 % (1119160)Time elapsed: 0.037 s
% 6.16/1.33 % (1119160)Peak memory usage: 12 MB
% 6.16/1.33 % (1119160)Instructions burned: 40 (million)
% 6.16/1.33 % (1119160)------------------------------
% 6.16/1.33 % (1119160)------------------------------
% 6.16/1.33 % (1119136)Instruction limit reached!
% 6.16/1.33 % (1119136)------------------------------
% 6.16/1.33 % (1119136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119136)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119136)Termination reason: Instruction limit
% 6.16/1.33 % (1119136)Termination phase: Saturation
% 6.16/1.33 % (1119136)Time elapsed: 0.277 s
% 6.16/1.33 % (1119136)Peak memory usage: 15 MB
% 6.16/1.33 % (1119136)Instructions burned: 316 (million)
% 6.16/1.33 % (1119164)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=956209872:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 6.16/1.33 % (1119156)Instruction limit reached!
% 6.16/1.33 % (1119156)------------------------------
% 6.16/1.33 % (1119156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119156)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119156)Termination reason: Instruction limit
% 6.16/1.33 % (1119156)Termination phase: Saturation
% 6.16/1.33 % (1119156)Time elapsed: 0.123 s
% 6.16/1.33 % (1119156)Peak memory usage: 12 MB
% 6.16/1.33 % (1119156)Instructions burned: 138 (million)
% 6.16/1.33 % (1119164)Refutation not found, incomplete strategy
% 6.16/1.33 % (1119164)------------------------------
% 6.16/1.33 % (1119164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.33 % (1119164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.33 % (1119164)CaDiCaL version: 2.1.3
% 6.16/1.33 % (1119164)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.56 % (1119164)Time elapsed: 0.022 s
% 6.62/1.56 % (1119164)Peak memory usage: 12 MB
% 6.62/1.56 % (1119164)Instructions burned: 25 (million)
% 6.62/1.56 % (1119166)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1040555238:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 6.62/1.56 % (1119164)------------------------------
% 6.62/1.56 % (1119164)------------------------------
% 6.62/1.56 % (1119168)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=217598502:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 6.62/1.56 % (1119168)Refutation not found, incomplete strategy
% 6.62/1.56 % (1119168)------------------------------
% 6.62/1.56 % (1119168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.56 % (1119168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.56 % (1119168)CaDiCaL version: 2.1.3
% 6.62/1.56 % (1119168)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.56 % (1119168)Time elapsed: 0.010 s
% 6.62/1.56 % (1119168)Peak memory usage: 12 MB
% 6.62/1.56 % (1119168)Instructions burned: 11 (million)
% 6.62/1.56 % (1119170)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4069227653:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 6.62/1.56 % (1119168)------------------------------
% 6.62/1.56 % (1119168)------------------------------
% 6.62/1.56 % (1119171)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2754159756:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 6.62/1.56 % (1119174)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=610408357:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.62/1.56 % (1119115)Instruction limit reached!
% 6.62/1.56 % (1119115)------------------------------
% 6.62/1.56 % (1119115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.56 % (1119115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.56 % (1119115)CaDiCaL version: 2.1.3
% 6.62/1.56 % (1119115)Termination reason: Instruction limit
% 6.62/1.56 % (1119115)Termination phase: Saturation
% 6.62/1.56 % (1119115)Time elapsed: 0.517 s
% 6.62/1.56 % (1119115)Peak memory usage: 15 MB
% 6.62/1.56 % (1119115)Instructions burned: 1243 (million)
% 6.62/1.56 % (1119166)Instruction limit reached!
% 6.62/1.56 % (1119166)------------------------------
% 6.62/1.56 % (1119166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.56 % (1119166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.56 % (1119166)CaDiCaL version: 2.1.3
% 6.62/1.56 % (1119166)Termination reason: Instruction limit
% 6.62/1.56 % (1119166)Termination phase: Saturation
% 6.62/1.56 % (1119166)Time elapsed: 0.084 s
% 6.62/1.56 % (1119166)Peak memory usage: 12 MB
% 6.62/1.56 % (1119166)Instructions burned: 97 (million)
% 6.62/1.56 % (1119177)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3117979153:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 6.62/1.56 % (1119163)Instruction limit reached!
% 6.62/1.56 % (1119163)------------------------------
% 6.62/1.56 % (1119163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.56 % (1119163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.56 % (1119163)CaDiCaL version: 2.1.3
% 6.62/1.56 % (1119163)Termination reason: Instruction limit
% 6.62/1.56 % (1119163)Termination phase: Saturation
% 6.62/1.56 % (1119163)Time elapsed: 0.148 s
% 6.62/1.56 % (1119163)Peak memory usage: 13 MB
% 6.62/1.56 % (1119163)Instructions burned: 181 (million)
% 6.62/1.56 % (1119178)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2830675898:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 6.62/1.56 % (1119178)Refutation not found, incomplete strategy
% 6.62/1.56 % (1119178)------------------------------
% 6.62/1.56 % (1119178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.56 % (1119178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.56 % (1119178)CaDiCaL version: 2.1.3
% 6.62/1.56 % (1119178)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.56 % (1119178)Time elapsed: 0.008 s
% 6.62/1.56 % (1119178)Peak memory usage: 12 MB
% 6.62/1.56 % (1119178)Instructions burned: 19 (million)
% 6.62/1.56 % (1119178)------------------------------
% 6.62/1.56 % (1119178)------------------------------
% 7.76/1.64 % (1119180)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3673079411:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 7.76/1.64 % (1119177)Instruction limit reached!
% 7.76/1.64 % (1119177)------------------------------
% 7.76/1.64 % (1119177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.76/1.64 % (1119177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/1.64 % (1119177)CaDiCaL version: 2.1.3
% 7.76/1.64 % (1119177)Termination reason: Instruction limit
% 7.76/1.64 % (1119177)Termination phase: Saturation
% 7.76/1.64 % (1119177)Time elapsed: 0.037 s
% 7.76/1.64 % (1119177)Peak memory usage: 12 MB
% 7.76/1.64 % (1119177)Instructions burned: 44 (million)
% 7.76/1.64 % (1119182)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=185626422:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 7.76/1.64 % (1119174)Instruction limit reached!
% 7.76/1.64 % (1119174)------------------------------
% 7.76/1.64 % (1119174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.76/1.64 % (1119174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/1.64 % (1119174)CaDiCaL version: 2.1.3
% 7.76/1.64 % (1119174)Termination reason: Instruction limit
% 7.76/1.64 % (1119174)Termination phase: Saturation
% 7.76/1.64 % (1119174)Time elapsed: 0.087 s
% 7.76/1.64 % (1119174)Peak memory usage: 13 MB
% 7.76/1.64 % (1119174)Instructions burned: 131 (million)
% 7.76/1.64 % (1119184)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3154175500:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 7.76/1.64 % (1119186)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2270078659:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 7.76/1.64 % (1119182)Instruction limit reached!
% 7.76/1.64 % (1119182)------------------------------
% 7.76/1.64 % (1119182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.76/1.64 % (1119182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/1.64 % (1119182)CaDiCaL version: 2.1.3
% 7.76/1.64 % (1119182)Termination reason: Instruction limit
% 7.76/1.64 % (1119182)Termination phase: Saturation
% 7.76/1.64 % (1119182)Time elapsed: 0.039 s
% 7.76/1.64 % (1119182)Peak memory usage: 12 MB
% 7.76/1.64 % (1119182)Instructions burned: 97 (million)
% 7.76/1.64 % (1119189)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3761915575:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 7.76/1.64 % (1119184)Instruction limit reached!
% 7.76/1.64 % (1119184)------------------------------
% 7.76/1.64 % (1119184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.76/1.64 % (1119184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/1.64 % (1119184)CaDiCaL version: 2.1.3
% 7.76/1.64 % (1119184)Termination reason: Instruction limit
% 7.76/1.64 % (1119184)Termination phase: Saturation
% 7.76/1.64 % (1119184)Time elapsed: 0.058 s
% 7.76/1.64 % (1119184)Peak memory usage: 12 MB
% 7.76/1.64 % (1119184)Instructions burned: 65 (million)
% 7.76/1.64 % (1119191)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3575163705:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 7.76/1.64 % (1119186)Instruction limit reached!
% 7.76/1.64 % (1119186)------------------------------
% 7.76/1.64 % (1119186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.76/1.64 % (1119186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.76/1.64 % (1119186)CaDiCaL version: 2.1.3
% 7.76/1.64 % (1119186)Termination reason: Instruction limit
% 7.76/1.64 % (1119186)Termination phase: Saturation
% 7.76/1.64 % (1119186)Time elapsed: 0.095 s
% 7.76/1.64 % (1119186)Peak memory usage: 13 MB
% 7.76/1.64 % (1119186)Instructions burned: 105 (million)
% 7.76/1.64 % (1119193)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4155103693:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 9.14/1.85 % (1119191)Refutation not found, incomplete strategy
% 9.14/1.85 % (1119191)------------------------------
% 9.14/1.85 % (1119191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119191)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119191)Termination reason: Refutation not found, incomplete strategy
% 9.14/1.85 % (1119191)Time elapsed: 0.028 s
% 9.14/1.85 % (1119191)Peak memory usage: 12 MB
% 9.14/1.85 % (1119191)Instructions burned: 31 (million)
% 9.14/1.85 % (1119191)------------------------------
% 9.14/1.85 % (1119191)------------------------------
% 9.14/1.85 % (1119195)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3226881422:cond=on:i=34:hud=10:nm=10:rtra=on_2989 on theBenchmark for (2989ds/34Mi)
% 9.14/1.85 % (1119195)Instruction limit reached!
% 9.14/1.85 % (1119195)------------------------------
% 9.14/1.85 % (1119195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119195)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119195)Termination reason: Instruction limit
% 9.14/1.85 % (1119195)Termination phase: Saturation
% 9.14/1.85 % (1119195)Time elapsed: 0.028 s
% 9.14/1.85 % (1119195)Peak memory usage: 11 MB
% 9.14/1.85 % (1119195)Instructions burned: 35 (million)
% 9.14/1.85 % (1119197)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2753137582:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/91Mi)
% 9.14/1.85 % (1119138)Instruction limit reached!
% 9.14/1.85 % (1119138)------------------------------
% 9.14/1.85 % (1119138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119138)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119138)Termination reason: Instruction limit
% 9.14/1.85 % (1119138)Termination phase: Saturation
% 9.14/1.85 % (1119138)Time elapsed: 0.752 s
% 9.14/1.85 % (1119138)Peak memory usage: 15 MB
% 9.14/1.85 % (1119138)Instructions burned: 853 (million)
% 9.14/1.85 % (1119171)Instruction limit reached!
% 9.14/1.85 % (1119171)------------------------------
% 9.14/1.85 % (1119171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119171)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119171)Termination reason: Instruction limit
% 9.14/1.85 % (1119171)Termination phase: Saturation
% 9.14/1.85 % (1119171)Time elapsed: 0.432 s
% 9.14/1.85 % (1119171)Peak memory usage: 13 MB
% 9.14/1.85 % (1119171)Instructions burned: 516 (million)
% 9.14/1.85 % (1119180)Instruction limit reached!
% 9.14/1.85 % (1119180)------------------------------
% 9.14/1.85 % (1119180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119180)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119180)Termination reason: Instruction limit
% 9.14/1.85 % (1119180)Termination phase: Saturation
% 9.14/1.85 % (1119180)Time elapsed: 0.349 s
% 9.14/1.85 % (1119180)Peak memory usage: 14 MB
% 9.14/1.85 % (1119180)Instructions burned: 451 (million)
% 9.14/1.85 % (1119197)Instruction limit reached!
% 9.14/1.85 % (1119197)------------------------------
% 9.14/1.85 % (1119197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.85 % (1119197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.85 % (1119197)CaDiCaL version: 2.1.3
% 9.14/1.85 % (1119197)Termination reason: Instruction limit
% 9.14/1.85 % (1119197)Termination phase: Saturation
% 9.14/1.85 % (1119197)Time elapsed: 0.093 s
% 9.14/1.85 % (1119197)Peak memory usage: 13 MB
% 9.14/1.85 % (1119197)Instructions burned: 91 (million)
% 9.14/1.85 % (1119199)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3996629269:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2988 on theBenchmark for (2988ds/66Mi)
% 9.14/1.85 % (1119200)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=995965448:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2988 on theBenchmark for (2988ds/22Mi)
% 9.14/1.85 % (1119199)Refutation not found, incomplete strategy
% 9.14/1.87 % (1119199)------------------------------
% 9.14/1.87 % (1119199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119199)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119199)Termination reason: Refutation not found, incomplete strategy
% 9.14/1.87 % (1119199)Time elapsed: 0.011 s
% 9.14/1.87 % (1119199)Peak memory usage: 12 MB
% 9.14/1.87 % (1119199)Instructions burned: 12 (million)
% 9.14/1.87 % (1119201)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1480650163:i=338:bd=all:ins=4:rtra=on_2988 on theBenchmark for (2988ds/338Mi)
% 9.14/1.87 % (1119199)------------------------------
% 9.14/1.87 % (1119199)------------------------------
% 9.14/1.87 % (1119202)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1878568826:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 9.14/1.87 % (1119200)Instruction limit reached!
% 9.14/1.87 % (1119200)------------------------------
% 9.14/1.87 % (1119200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119200)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119200)Termination reason: Instruction limit
% 9.14/1.87 % (1119200)Termination phase: Saturation
% 9.14/1.87 % (1119200)Time elapsed: 0.018 s
% 9.14/1.87 % (1119200)Peak memory usage: 12 MB
% 9.14/1.87 % (1119200)Instructions burned: 22 (million)
% 9.14/1.87 % (1119202)Instruction limit reached!
% 9.14/1.87 % (1119202)------------------------------
% 9.14/1.87 % (1119202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119202)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119202)Termination reason: Instruction limit
% 9.14/1.87 % (1119202)Termination phase: Saturation
% 9.14/1.87 % (1119202)Time elapsed: 0.023 s
% 9.14/1.87 % (1119202)Peak memory usage: 11 MB
% 9.14/1.87 % (1119202)Instructions burned: 28 (million)
% 9.14/1.87 % (1119206)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 9.14/1.87 % (1119206)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2678646268:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/137Mi)
% 9.14/1.87 % (1119208)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2659958067:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/340Mi)
% 9.14/1.87 % (1119193)Instruction limit reached!
% 9.14/1.87 % (1119193)------------------------------
% 9.14/1.87 % (1119193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119193)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119193)Termination reason: Instruction limit
% 9.14/1.87 % (1119193)Termination phase: Saturation
% 9.14/1.87 % (1119193)Time elapsed: 0.273 s
% 9.14/1.87 % (1119193)Peak memory usage: 14 MB
% 9.14/1.87 % (1119193)Instructions burned: 495 (million)
% 9.14/1.87 % (1119209)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2146958773:i=227:sd=1:bd=all:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/227Mi)
% 9.14/1.87 % (1119212)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 9.14/1.87 % (1119209)Refutation not found, incomplete strategy
% 9.14/1.87 % (1119209)------------------------------
% 9.14/1.87 % (1119209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119209)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119209)Termination reason: Refutation not found, incomplete strategy
% 9.14/1.87 % (1119209)Time elapsed: 0.010 s
% 9.14/1.87 % (1119209)Peak memory usage: 12 MB
% 9.14/1.87 % (1119209)Instructions burned: 11 (million)
% 9.14/1.87 % (1119209)------------------------------
% 9.14/1.87 % (1119209)------------------------------
% 9.14/1.87 % (1119212)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2300672736:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/373Mi)
% 9.14/1.87 % (1119215)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1597923404:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 9.14/1.87 % (1119206)Instruction limit reached!
% 9.14/1.87 % (1119206)------------------------------
% 9.14/1.87 % (1119206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119206)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119206)Termination reason: Instruction limit
% 9.14/1.87 % (1119206)Termination phase: Saturation
% 9.14/1.87 % (1119206)Time elapsed: 0.120 s
% 9.14/1.87 % (1119206)Peak memory usage: 13 MB
% 9.14/1.87 % (1119206)Instructions burned: 138 (million)
% 9.14/1.87 % (1119215)Instruction limit reached!
% 9.14/1.87 % (1119215)------------------------------
% 9.14/1.87 % (1119215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119215)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119215)Termination reason: Instruction limit
% 9.14/1.87 % (1119215)Termination phase: Saturation
% 9.14/1.87 % (1119215)Time elapsed: 0.062 s
% 9.14/1.87 % (1119215)Peak memory usage: 12 MB
% 9.14/1.87 % (1119215)Instructions burned: 116 (million)
% 9.14/1.87 % (1119221)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2141655314:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 9.14/1.87 % (1119219)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1332728073:i=575:rtra=on_2986 on theBenchmark for (2986ds/575Mi)
% 9.14/1.87 % (1119170)Instruction limit reached!
% 9.14/1.87 % (1119170)------------------------------
% 9.14/1.87 % (1119170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119170)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119170)Termination reason: Instruction limit
% 9.14/1.87 % (1119170)Termination phase: Saturation
% 9.14/1.87 % (1119170)Time elapsed: 0.694 s
% 9.14/1.87 % (1119170)Peak memory usage: 14 MB
% 9.14/1.87 % (1119170)Instructions burned: 874 (million)
% 9.14/1.87 % (1119219)Refutation not found, incomplete strategy
% 9.14/1.87 % (1119219)------------------------------
% 9.14/1.87 % (1119219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119219)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119219)Termination reason: Refutation not found, incomplete strategy
% 9.14/1.87 % (1119219)Time elapsed: 0.033 s
% 9.14/1.87 % (1119219)Peak memory usage: 12 MB
% 9.14/1.87 % (1119219)Instructions burned: 40 (million)
% 9.14/1.87 % (1119219)------------------------------
% 9.14/1.87 % (1119219)------------------------------
% 9.14/1.87 % (1119226)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=4094002071:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2985 on theBenchmark for (2985ds/9840Mi)
% 9.14/1.87 % (1119229)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3402467879:i=421:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/421Mi)
% 9.14/1.87 % (1119229)Refutation not found, incomplete strategy
% 9.14/1.87 % (1119229)------------------------------
% 9.14/1.87 % (1119229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119229)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119229)Termination reason: Refutation not found, incomplete strategy
% 9.14/1.87 % (1119229)Time elapsed: 0.011 s
% 9.14/1.87 % (1119229)Peak memory usage: 12 MB
% 9.14/1.87 % (1119229)Instructions burned: 12 (million)
% 9.14/1.87 % (1119229)------------------------------
% 9.14/1.87 % (1119229)------------------------------
% 9.14/1.87 % (1119233)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.14/1.87 % (1119208) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1119048-1119208"...
% 9.14/1.87 % (1119233)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3804067759:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/270Mi)
% 9.14/1.87 % (1119208)...printing done.
% 9.14/1.87 % (1119208)Refutation found. Thanks to Tanya!
% 9.14/1.87 % SZS status Theorem for theBenchmark
% 9.14/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 9.14/1.87 % (1119208)------------------------------
% 9.14/1.87 % (1119208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.14/1.87 % (1119208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/1.87 % (1119208)CaDiCaL version: 2.1.3
% 9.14/1.87 % (1119208)Termination reason: Refutation
% 9.14/1.87 % (1119208)Time elapsed: 0.261 s
% 9.14/1.87 % (1119208)Peak memory usage: 13 MB
% 9.14/1.87 % (1119208)Instructions burned: 305 (million)
% 9.14/1.87 % (1119048)Success in time 1.544 s
% 9.14/1.87 % Vampire exiting
%------------------------------------------------------------------------------