%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT031^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 2.26s 0.58s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 161 ( 128 unt; 0 typ; 1 def)
% Number of atoms : 972 ( 139 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 2125 ( 256 ~; 202 |; 0 &;1516 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 68 usr; 11 con; 0-4 aty)
% ( 150 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 504 ( 0 sgn 107 !; 0 ?; 504 :)
% 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,
vNOT: $o > $o ).
thf(func_def_44,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_49,type,
vOR: $o > $o > $o ).
thf(func_def_50,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
vIMP: $o > $o > $o ).
thf(func_def_55,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_57,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
sK1: $i > $i ).
thf(func_def_60,type,
sK2: $i > $i ).
thf(func_def_61,type,
sK3: mu > mu > $i ).
thf(func_def_62,type,
sK4: mu > mu > $i ).
thf(func_def_63,type,
sK5: mu > mu > $i ).
thf(func_def_64,type,
sK6: mu > mu > $i ).
thf(func_def_65,type,
sK7: mu > mu > $i ).
thf(func_def_67,type,
sK9: mu > mu > $i ).
thf(func_def_68,type,
sK10: 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,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
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] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(f39,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(f41,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1) ).
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(f45,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(f50,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
thf(f52,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f51]) ).
thf(f53,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f56,plain,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f41]) ).
thf(f57,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f59,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f58]) ).
thf(f64,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f65,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f64]) ).
thf(f71,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f76,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f77,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f76]) ).
thf(f80,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f84,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f85,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f84]) ).
thf(f86,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f87,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f86]) ).
thf(f104,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f105,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f104]) ).
thf(f106,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(f107,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,[],[f106]) ).
thf(f109,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f110,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f109]) ).
thf(f117,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f118,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f117]) ).
thf(f133,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f45]) ).
thf(f134,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f133]) ).
thf(f138,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f12]) ).
thf(f139,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f138]) ).
thf(f143,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f118]) ).
thf(f147,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f87]) ).
thf(f148,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f77]) ).
thf(f149,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f85]) ).
thf(f151,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f152,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f156,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f134]) ).
thf(f157,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f160,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f163,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f167,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f57]) ).
thf(f173,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,[],[f107]) ).
thf(f176,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f105]) ).
thf(f177,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f139]) ).
thf(f179,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f194,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,[],[f157,f160,f179,f160,f160]) ).
thf(f195,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,[],[f163,f179,f160]) ).
thf(f199,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,[],[f177,f160,f147,f160]) ).
thf(f203,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a2
@ ( likes @ jan @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f148,f143,f152]) ).
thf(f204,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ a2
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( likes @ Y0 @ pepsi )
@ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f149,f143,f147,f152,f195]) ).
thf(f205,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,[],[f151,f143,f199,f199]) ).
thf(f206,plain,
( ( ^ [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 > $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 > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a3
@ ( very_much_likes @ Y0 @ Y1 ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f156,f143,f147,f147,f195,f152]) ).
thf(f210,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a3
@ ( likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f167,f143,f152]) ).
thf(f213,plain,
( ( ^ [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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ 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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) ) ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f173,f143,f147,f147,f152,f195,f194,f194,f152,f152]) ).
thf(f214,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a1
@ ( likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f176,f143,f152]) ).
thf(f222,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f225,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( very_much_likes @ Y1 @ Y2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f229,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f214]) ).
thf(f233,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f236,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f205]) ).
thf(f237,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f236]) ).
thf(f238,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f239,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f238]) ).
thf(f240,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f239]) ).
thf(f243,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f250,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f237]) ).
thf(f251,plain,
( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f250]) ).
thf(f253,plain,
( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f251]) ).
thf(f255,plain,
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) ) ) ),
inference(not_proxy_clausification,[],[f253]) ).
thf(f256,plain,
! [X1: mu] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f255]) ).
thf(f257,plain,
! [X1: mu] :
( ( !! @ mu
@ ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 ) )
= $true ),
inference(beta-eta_normalization,[],[f256]) ).
thf(f258,plain,
! [X2: mu,X1: mu] :
( ( ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f257]) ).
thf(f259,plain,
! [X2: mu,X1: mu] :
( ( ~ ( very_much_likes @ X1 @ X2 @ sK0 ) )
= $true ),
inference(beta-eta_normalization,[],[f258]) ).
thf(f260,plain,
! [X2: mu,X1: mu] :
( $false
= ( very_much_likes @ X1 @ X2 @ sK0 ) ),
inference(not_proxy_clausification,[],[f259]) ).
thf(f263,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f229]) ).
thf(f264,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f263]) ).
thf(f268,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f233]) ).
thf(f269,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f268]) ).
thf(f270,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f269]) ).
thf(f271,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ cola @ X2 )
| ~ ( a3 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f270]) ).
thf(f283,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f284,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f283]) ).
thf(f285,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f284]) ).
thf(f286,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ jan @ pepsi @ X2 )
| ~ ( a2 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f285]) ).
thf(f335,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f222]) ).
thf(f336,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f335]) ).
thf(f354,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f336]) ).
thf(f355,plain,
! [X2: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f354]) ).
thf(f360,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f355]) ).
thf(f361,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ( likes @ X2 @ cola @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 )
| ~ ( a2 @ X1 @ X3 ) )
= $true ),
inference(beta-eta_normalization,[],[f360]) ).
thf(f430,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( very_much_likes @ Y1 @ Y2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f225]) ).
thf(f431,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( very_much_likes @ Y0 @ Y1 @ X1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f430]) ).
thf(f433,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( very_much_likes @ Y0 @ Y1 @ X1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f431]) ).
thf(f434,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( very_much_likes @ X2 @ Y0 @ X1 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f433]) ).
thf(f435,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ( very_much_likes @ X2 @ Y0 @ X1 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f434]) ).
thf(f436,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ( very_much_likes @ X2 @ X3 @ X1 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f435]) ).
thf(f438,plain,
! [X0: mu,X1: mu] :
( $true
= ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X0 @ X1 @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) ) ) ),
inference(superposition,[],[f436,f260]) ).
thf(f439,plain,
! [X0: mu,X1: mu] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X0 @ X1 @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f438]) ).
thf(f440,plain,
! [X0: mu,X1: mu] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X0 @ X1 @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f439]) ).
thf(f443,plain,
! [X0: mu,X1: mu] :
( ( ^ [Y0: $i] :
( ( very_much_likes @ X0 @ X1 @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) )
@ ( sK3 @ X1 @ X0 ) )
= $false ),
inference(sigma_proxy_clausification,[],[f440]) ).
thf(f444,plain,
! [X0: mu,X1: mu] :
( ( ( very_much_likes @ X0 @ X1 @ ( sK3 @ X1 @ X0 ) )
| ~ ( a3 @ sK0 @ ( sK3 @ X1 @ X0 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f443]) ).
thf(f447,plain,
! [X0: mu,X1: mu] :
( ( ~ ( a3 @ sK0 @ ( sK3 @ X1 @ X0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f444]) ).
thf(f448,plain,
! [X0: mu,X1: mu] :
( ( very_much_likes @ X0 @ X1 @ ( sK3 @ X1 @ X0 ) )
= $false ),
inference(or_proxy_clausification,[],[f444]) ).
thf(f453,plain,
! [X0: mu,X1: mu] :
( ( ( likes @ jan @ cola @ ( sK3 @ X0 @ X1 ) )
| $false )
= $true ),
inference(superposition,[],[f271,f447]) ).
thf(f454,plain,
! [X0: mu,X1: mu] :
( ( likes @ jan @ cola @ ( sK3 @ X0 @ X1 ) )
= $true ),
inference(boolean_simplification,[],[f453]) ).
thf(f639,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f240]) ).
thf(f640,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f639]) ).
thf(f646,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f640]) ).
thf(f647,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f646]) ).
thf(f663,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f647]) ).
thf(f664,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f663]) ).
thf(f673,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X4 )
= $true ),
inference(pi_proxy_clausification,[],[f664]) ).
thf(f674,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) )
| ~ ( likes @ X2 @ X3 @ X4 )
| ~ ( a3 @ X1 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f673]) ).
thf(f700,plain,
! [X2: $i,X0: mu,X1: mu] :
( $true
= ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a2 @ ( sK3 @ X1 @ X0 ) @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a1 @ ( sK3 @ X1 @ X0 ) @ Y0 ) ) )
| ~ ( likes @ X0 @ X1 @ ( sK3 @ X1 @ X0 ) )
| ~ ( a3 @ X2 @ ( sK3 @ X1 @ X0 ) ) ) ),
inference(superposition,[],[f674,f448]) ).
thf(f711,plain,
! [X2: $i,X0: mu,X1: mu] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a2 @ ( sK3 @ X1 @ X0 ) @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a1 @ ( sK3 @ X1 @ X0 ) @ Y0 ) ) )
| ~ ( likes @ X0 @ X1 @ ( sK3 @ X1 @ X0 ) )
| ~ ( a3 @ X2 @ ( sK3 @ X1 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[],[f700]) ).
thf(f876,plain,
! [X0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ $true
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) )
= $true ),
inference(superposition,[],[f711,f454]) ).
thf(f880,plain,
! [X0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| $false
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) )
= $true ),
inference(boolean_simplification,[],[f876]) ).
thf(f881,plain,
! [X0: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) ) ),
inference(boolean_simplification,[],[f880]) ).
thf(f882,plain,
! [X0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ $true
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) )
= $true ),
inference(forward_demodulation,[],[f881,f264]) ).
thf(f883,plain,
! [X0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| $false
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) )
= $true ),
inference(boolean_simplification,[],[f882]) ).
thf(f884,plain,
! [X0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| ~ ( a3 @ X0 @ ( sK3 @ cola @ jan ) ) )
= $true ),
inference(boolean_simplification,[],[f883]) ).
thf(f963,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
| $false )
= $true ),
inference(superposition,[],[f884,f447]) ).
thf(f964,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f963]) ).
thf(f968,definition,
( spl8_3
<=> ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f970,plain,
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) ) ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f968]) ).
thf(f975,plain,
spl8_3,
inference(avatar_split_clause,[],[f964,f968]) ).
thf(f982,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) ) )
= $false )
| ~ spl8_3 ),
inference(not_proxy_clausification,[],[f970]) ).
thf(f990,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ Y0 ) )
@ sK11 ) )
| ~ spl8_3 ),
inference(sigma_proxy_clausification,[],[f982]) ).
thf(f991,plain,
( ( $false
= ( ( likes @ jan @ cola @ sK11 )
| ~ ( a2 @ ( sK3 @ cola @ jan ) @ sK11 ) ) )
| ~ spl8_3 ),
inference(beta-eta_normalization,[],[f990]) ).
thf(f1013,plain,
( ( ( ~ ( a2 @ ( sK3 @ cola @ jan ) @ sK11 ) )
= $false )
| ~ spl8_3 ),
inference(or_proxy_clausification,[],[f991]) ).
thf(f1014,plain,
( ( $false
= ( likes @ jan @ cola @ sK11 ) )
| ~ spl8_3 ),
inference(or_proxy_clausification,[],[f991]) ).
thf(f1079,plain,
( ( ( a2 @ ( sK3 @ cola @ jan ) @ sK11 )
= $true )
| ~ spl8_3 ),
inference(not_proxy_clausification,[],[f1013]) ).
thf(f1083,plain,
( ( $true
= ( ( likes @ jan @ pepsi @ sK11 )
| $false ) )
| ~ spl8_3 ),
inference(superposition,[],[f286,f1013]) ).
thf(f1086,plain,
( ( ( likes @ jan @ pepsi @ sK11 )
= $true )
| ~ spl8_3 ),
inference(boolean_simplification,[],[f1083]) ).
thf(f1125,plain,
( ! [X0: $i] :
( ( ( likes @ jan @ cola @ sK11 )
| ~ $true
| ~ ( a2 @ X0 @ sK11 ) )
= $true )
| ~ spl8_3 ),
inference(superposition,[],[f361,f1086]) ).
thf(f1134,plain,
( ! [X0: $i] :
( ( ( likes @ jan @ cola @ sK11 )
| $false
| ~ ( a2 @ X0 @ sK11 ) )
= $true )
| ~ spl8_3 ),
inference(boolean_simplification,[],[f1125]) ).
thf(f1135,plain,
( ! [X0: $i] :
( ( ( likes @ jan @ cola @ sK11 )
| ~ ( a2 @ X0 @ sK11 ) )
= $true )
| ~ spl8_3 ),
inference(boolean_simplification,[],[f1134]) ).
thf(f1141,plain,
( ! [X0: $i] :
( ( $false
| ~ ( a2 @ X0 @ sK11 ) )
= $true )
| ~ spl8_3 ),
inference(forward_demodulation,[],[f1135,f1014]) ).
thf(f1142,plain,
( ! [X0: $i] :
( $true
= ( ~ ( a2 @ X0 @ sK11 ) ) )
| ~ spl8_3 ),
inference(boolean_simplification,[],[f1141]) ).
thf(f1158,plain,
( ( ( ~ $true ) = $true )
| ~ spl8_3 ),
inference(superposition,[],[f1142,f1079]) ).
thf(f1174,plain,
( ( $false = $true )
| ~ spl8_3 ),
inference(boolean_simplification,[],[f1158]) ).
thf(f1175,plain,
( $false
| ~ spl8_3 ),
inference(trivial_inequality_removal,[],[f1174]) ).
thf(f1176,plain,
~ spl8_3,
inference(avatar_contradiction_clause,[],[f1175]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f975]) ).
cnf(s8,plain,
~ spl8_3,
inference(sat_conversion,[],[f1176]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s8]) ).
thf(f1178,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT031^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:30:36 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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
% 0.19/0.35 % (109415)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.35 % (109437)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3770961465:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.35 % (109438)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.35 % (109438)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
% 0.19/0.35 % (109432)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2005558193:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.35 % (109434)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2889096552:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.35 % (109433)lrs+10_16_si=on:nwc=1.5:random_seed=1517445336:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.35 % (109436)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=584174973:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.35 % (109435)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=1806259511: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)
% 0.19/0.35 % (109438)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=3678571542:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.35 % (109434)Instruction limit reached!
% 0.19/0.35 % (109434)------------------------------
% 0.19/0.35 % (109434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (109434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (109434)CaDiCaL version: 2.1.3
% 0.19/0.35 % (109434)Termination reason: Instruction limit
% 0.19/0.35 % (109434)Termination phase: Property scanning
% 0.19/0.35 % (109434)Time elapsed: 0.002 s
% 0.19/0.35 % (109434)Peak memory usage: 9 MB
% 0.19/0.35 % (109434)Instructions burned: 4 (million)
% 0.19/0.35 % (109433)Instruction limit reached!
% 0.19/0.35 % (109433)------------------------------
% 0.19/0.35 % (109433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (109433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (109433)CaDiCaL version: 2.1.3
% 0.19/0.35 % (109433)Termination reason: Instruction limit
% 0.19/0.35 % (109433)Termination phase: Saturation
% 0.19/0.35 % (109433)Time elapsed: 0.008 s
% 0.19/0.35 % (109433)Peak memory usage: 11 MB
% 0.19/0.35 % (109433)Instructions burned: 19 (million)
% 0.19/0.35 % (109437)Instruction limit reached!
% 0.19/0.35 % (109437)------------------------------
% 0.19/0.35 % (109437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (109437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (109437)CaDiCaL version: 2.1.3
% 0.19/0.35 % (109437)Termination reason: Instruction limit
% 0.19/0.35 % (109437)Termination phase: Saturation
% 0.19/0.35 % (109437)Time elapsed: 0.020 s
% 0.19/0.35 % (109437)Peak memory usage: 12 MB
% 0.19/0.35 % (109437)Instructions burned: 78 (million)
% 0.19/0.35 % (109436)Instruction limit reached!
% 0.19/0.35 % (109436)------------------------------
% 0.19/0.35 % (109436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (109436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (109436)CaDiCaL version: 2.1.3
% 0.19/0.35 % (109436)Termination reason: Instruction limit
% 0.19/0.35 % (109436)Termination phase: Saturation
% 0.19/0.35 % (109436)Time elapsed: 0.013 s
% 0.19/0.35 % (109436)Peak memory usage: 11 MB
% 0.19/0.35 % (109436)Instructions burned: 24 (million)
% 0.19/0.35 % (109449)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3899476603:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.35 % (109449)Instruction limit reached!
% 0.19/0.35 % (109449)------------------------------
% 0.19/0.35 % (109449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (109449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (109449)CaDiCaL version: 2.1.3
% 0.83/0.38 % (109449)Termination reason: Instruction limit
% 0.83/0.38 % (109449)Termination phase: Property scanning
% 0.83/0.38 % (109449)Time elapsed: 0.002 s
% 0.83/0.38 % (109449)Peak memory usage: 10 MB
% 0.83/0.38 % (109449)Instructions burned: 4 (million)
% 0.83/0.38 % (109455)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3263501515:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.38 % (109455)Instruction limit reached!
% 0.83/0.38 % (109455)------------------------------
% 0.83/0.38 % (109455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (109455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (109455)CaDiCaL version: 2.1.3
% 0.83/0.38 % (109455)Termination reason: Instruction limit
% 0.83/0.38 % (109455)Termination phase: Function definition elimination
% 0.83/0.38 % (109455)Time elapsed: 0.003 s
% 0.83/0.38 % (109455)Peak memory usage: 11 MB
% 0.83/0.38 % (109455)Instructions burned: 13 (million)
% 0.83/0.38 % (109451)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3202056244:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.83/0.38 % (109454)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.38 % (109451)Instruction limit reached!
% 0.83/0.38 % (109451)------------------------------
% 0.83/0.38 % (109451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (109451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (109451)CaDiCaL version: 2.1.3
% 0.83/0.38 % (109451)Termination reason: Instruction limit
% 0.83/0.38 % (109451)Termination phase: Property scanning
% 0.83/0.38 % (109451)Time elapsed: 0.003 s
% 0.83/0.38 % (109451)Peak memory usage: 10 MB
% 0.83/0.38 % (109451)Instructions burned: 7 (million)
% 0.83/0.38 % (109454)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3574451033:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.38 % (109454)Instruction limit reached!
% 0.83/0.38 % (109454)------------------------------
% 0.83/0.38 % (109454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (109454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (109454)CaDiCaL version: 2.1.3
% 0.83/0.38 % (109454)Termination reason: Instruction limit
% 0.83/0.38 % (109454)Termination phase: Function definition elimination
% 0.83/0.38 % (109454)Time elapsed: 0.004 s
% 0.83/0.38 % (109454)Peak memory usage: 10 MB
% 0.83/0.38 % (109454)Instructions burned: 9 (million)
% 0.83/0.38 % (109464)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=1791381126:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.38 % (109460)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
% 0.83/0.38 % (109460)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.38 % (109432)Instruction limit reached!
% 0.83/0.38 % (109432)------------------------------
% 0.83/0.38 % (109432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.38 % (109432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.38 % (109432)CaDiCaL version: 2.1.3
% 0.83/0.38 % (109432)Termination reason: Instruction limit
% 0.83/0.38 % (109432)Termination phase: Saturation
% 0.83/0.38 % (109432)Time elapsed: 0.043 s
% 0.83/0.38 % (109432)Peak memory usage: 12 MB
% 0.83/0.38 % (109432)Instructions burned: 89 (million)
% 0.83/0.38 % (109460)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1619270373:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.38 % (109468)lrs+10_1_si=on:cs=on:random_seed=2647437388:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.38 % (109471)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.41 % (109468)Instruction limit reached!
% 0.83/0.41 % (109468)------------------------------
% 0.83/0.41 % (109468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109468)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109468)Termination reason: Instruction limit
% 0.83/0.41 % (109468)Termination phase: Property scanning
% 0.83/0.41 % (109468)Time elapsed: 0.004 s
% 0.83/0.41 % (109468)Peak memory usage: 10 MB
% 0.83/0.41 % (109468)Instructions burned: 9 (million)
% 0.83/0.41 % (109471)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=422901643:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.41 % (109460)Instruction limit reached!
% 0.83/0.41 % (109460)------------------------------
% 0.83/0.41 % (109460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109460)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109460)Termination reason: Instruction limit
% 0.83/0.41 % (109460)Termination phase: Saturation
% 0.83/0.41 % (109460)Time elapsed: 0.013 s
% 0.83/0.41 % (109460)Peak memory usage: 11 MB
% 0.83/0.41 % (109460)Instructions burned: 29 (million)
% 0.83/0.41 % (109471)Instruction limit reached!
% 0.83/0.41 % (109471)------------------------------
% 0.83/0.41 % (109471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109471)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109471)Termination reason: Instruction limit
% 0.83/0.41 % (109471)Termination phase: shuffling
% 0.83/0.41 % (109471)Time elapsed: 0.001 s
% 0.83/0.41 % (109471)Peak memory usage: 9 MB
% 0.83/0.41 % (109471)Instructions burned: 2 (million)
% 0.83/0.41 % (109476)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3307229254:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.83/0.41 % (109464)Instruction limit reached!
% 0.83/0.41 % (109464)------------------------------
% 0.83/0.41 % (109464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109464)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109464)Termination reason: Instruction limit
% 0.83/0.41 % (109464)Termination phase: Saturation
% 0.83/0.41 % (109464)Time elapsed: 0.025 s
% 0.83/0.41 % (109464)Peak memory usage: 12 MB
% 0.83/0.41 % (109464)Instructions burned: 89 (million)
% 0.83/0.41 % (109476)Refutation not found, incomplete strategy
% 0.83/0.41 % (109476)------------------------------
% 0.83/0.41 % (109476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109476)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109476)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.41 % (109476)Time elapsed: 0.006 s
% 0.83/0.41 % (109476)Peak memory usage: 12 MB
% 0.83/0.41 % (109476)Instructions burned: 11 (million)
% 0.83/0.41 % (109476)------------------------------
% 0.83/0.41 % (109476)------------------------------
% 0.83/0.41 % (109481)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3951986254:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.83/0.41 % (109488)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1043941214:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.83/0.41 % (109484)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3287078454:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.41 % (109438)Instruction limit reached!
% 0.83/0.41 % (109438)------------------------------
% 0.83/0.41 % (109438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.41 % (109438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.41 % (109438)CaDiCaL version: 2.1.3
% 0.83/0.41 % (109438)Termination reason: Instruction limit
% 0.83/0.41 % (109438)Termination phase: Saturation
% 0.83/0.41 % (109438)Time elapsed: 0.076 s
% 0.83/0.41 % (109438)Peak memory usage: 13 MB
% 0.83/0.41 % (109438)Instructions burned: 158 (million)
% 0.83/0.45 % (109483)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=327610843:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.83/0.45 % (109481)Refutation not found, incomplete strategy
% 0.83/0.45 % (109481)------------------------------
% 0.83/0.45 % (109481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (109481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (109481)CaDiCaL version: 2.1.3
% 0.83/0.45 % (109481)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.45 % (109481)Time elapsed: 0.006 s
% 0.83/0.45 % (109481)Peak memory usage: 12 MB
% 0.83/0.45 % (109481)Instructions burned: 11 (million)
% 0.83/0.45 % (109481)------------------------------
% 0.83/0.45 % (109481)------------------------------
% 0.83/0.45 % (109484)Instruction limit reached!
% 0.83/0.45 % (109484)------------------------------
% 0.83/0.45 % (109484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (109484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (109484)CaDiCaL version: 2.1.3
% 0.83/0.45 % (109484)Termination reason: Instruction limit
% 0.83/0.45 % (109484)Termination phase: Property scanning
% 0.83/0.45 % (109484)Time elapsed: 0.007 s
% 0.83/0.45 % (109484)Peak memory usage: 10 MB
% 0.83/0.45 % (109484)Instructions burned: 15 (million)
% 0.83/0.45 % (109490)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=980517471:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.45 % (109483)Instruction limit reached!
% 0.83/0.45 % (109483)------------------------------
% 0.83/0.45 % (109483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (109483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (109483)CaDiCaL version: 2.1.3
% 0.83/0.45 % (109483)Termination reason: Instruction limit
% 0.83/0.45 % (109483)Termination phase: Saturation
% 0.83/0.45 % (109483)Time elapsed: 0.014 s
% 0.83/0.45 % (109483)Peak memory usage: 12 MB
% 0.83/0.45 % (109483)Instructions burned: 26 (million)
% 0.83/0.45 % (109490)Instruction limit reached!
% 0.83/0.45 % (109490)------------------------------
% 0.83/0.45 % (109490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (109490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (109490)CaDiCaL version: 2.1.3
% 0.83/0.45 % (109490)Termination reason: Instruction limit
% 0.83/0.45 % (109490)Termination phase: Property scanning
% 0.83/0.45 % (109490)Time elapsed: 0.006 s
% 0.83/0.45 % (109490)Peak memory usage: 10 MB
% 0.83/0.45 % (109490)Instructions burned: 14 (million)
% 0.83/0.45 % (109499)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3532570913: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)
% 0.83/0.45 % (109499)Instruction limit reached!
% 0.83/0.45 % (109499)------------------------------
% 0.83/0.45 % (109499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (109499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (109499)CaDiCaL version: 2.1.3
% 0.83/0.45 % (109499)Termination reason: Instruction limit
% 0.83/0.45 % (109499)Termination phase: Property scanning
% 0.83/0.45 % (109499)Time elapsed: 0.002 s
% 0.83/0.45 % (109499)Peak memory usage: 10 MB
% 0.83/0.45 % (109499)Instructions burned: 4 (million)
% 0.83/0.45 % (109502)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1280108024:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.83/0.45 % (109505)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2677084033:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.45 % (109515)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
% 0.83/0.45 % (109515)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.83/0.45 % (109512)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4091005197:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.56/0.48 % (109502)Instruction limit reached!
% 1.56/0.48 % (109502)------------------------------
% 1.56/0.48 % (109502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.48 % (109502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.48 % (109502)CaDiCaL version: 2.1.3
% 1.56/0.48 % (109502)Termination reason: Instruction limit
% 1.56/0.48 % (109502)Termination phase: Saturation
% 1.56/0.48 % (109502)Time elapsed: 0.012 s
% 1.56/0.48 % (109502)Peak memory usage: 11 MB
% 1.56/0.48 % (109502)Instructions burned: 28 (million)
% 1.56/0.48 % (109515)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=3961667645:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.56/0.48 % (109519)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.56/0.48 % (109505)Instruction limit reached!
% 1.56/0.48 % (109505)------------------------------
% 1.56/0.48 % (109505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.48 % (109505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.48 % (109505)CaDiCaL version: 2.1.3
% 1.56/0.48 % (109505)Termination reason: Instruction limit
% 1.56/0.48 % (109505)Termination phase: Saturation
% 1.56/0.48 % (109505)Time elapsed: 0.011 s
% 1.56/0.48 % (109505)Peak memory usage: 11 MB
% 1.56/0.48 % (109505)Instructions burned: 25 (million)
% 1.56/0.48 % (109519)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=3805122676:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.56/0.48 % (109515)Instruction limit reached!
% 1.56/0.48 % (109515)------------------------------
% 1.56/0.48 % (109515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.48 % (109515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.48 % (109515)CaDiCaL version: 2.1.3
% 1.56/0.48 % (109515)Termination reason: Instruction limit
% 1.56/0.48 % (109515)Termination phase: Property scanning
% 1.56/0.48 % (109515)Time elapsed: 0.006 s
% 1.56/0.48 % (109515)Peak memory usage: 10 MB
% 1.56/0.48 % (109515)Instructions burned: 15 (million)
% 1.56/0.48 % (109519)Instruction limit reached!
% 1.56/0.48 % (109519)------------------------------
% 1.56/0.48 % (109519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.48 % (109519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.48 % (109519)CaDiCaL version: 2.1.3
% 1.56/0.48 % (109519)Termination reason: Instruction limit
% 1.56/0.48 % (109519)Termination phase: Property scanning
% 1.56/0.48 % (109519)Time elapsed: 0.004 s
% 1.56/0.48 % (109519)Peak memory usage: 10 MB
% 1.56/0.48 % (109519)Instructions burned: 8 (million)
% 1.56/0.48 % (109533)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=1642883264:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.56/0.48 % (109535)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1400414372:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.56/0.48 % (109535)Instruction limit reached!
% 1.56/0.48 % (109535)------------------------------
% 1.56/0.48 % (109535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.48 % (109535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.48 % (109535)CaDiCaL version: 2.1.3
% 1.56/0.48 % (109535)Termination reason: Instruction limit
% 1.56/0.48 % (109535)Termination phase: Clausification
% 1.56/0.48 % (109535)Time elapsed: 0.003 s
% 1.56/0.48 % (109535)Peak memory usage: 10 MB
% 1.56/0.48 % (109535)Instructions burned: 7 (million)
% 1.56/0.48 % (109541)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3977408026:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.56/0.48 % (109543)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2689869635:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.56/0.48 % (109512)Instruction limit reached!
% 1.56/0.48 % (109512)------------------------------
% 1.56/0.48 % (109512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109512)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109512)Termination reason: Instruction limit
% 1.56/0.53 % (109512)Termination phase: Saturation
% 1.56/0.53 % (109512)Time elapsed: 0.032 s
% 1.56/0.53 % (109512)Peak memory usage: 12 MB
% 1.56/0.53 % (109512)Instructions burned: 60 (million)
% 1.56/0.53 % (109533)Instruction limit reached!
% 1.56/0.53 % (109533)------------------------------
% 1.56/0.53 % (109533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109533)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109533)Termination reason: Instruction limit
% 1.56/0.53 % (109533)Termination phase: Saturation
% 1.56/0.53 % (109533)Time elapsed: 0.017 s
% 1.56/0.53 % (109533)Peak memory usage: 12 MB
% 1.56/0.53 % (109533)Instructions burned: 32 (million)
% 1.56/0.53 % (109541)Instruction limit reached!
% 1.56/0.53 % (109541)------------------------------
% 1.56/0.53 % (109541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109541)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109541)Termination reason: Instruction limit
% 1.56/0.53 % (109541)Termination phase: Saturation
% 1.56/0.53 % (109541)Time elapsed: 0.010 s
% 1.56/0.53 % (109541)Peak memory usage: 11 MB
% 1.56/0.53 % (109541)Instructions burned: 24 (million)
% 1.56/0.53 % (109543)Instruction limit reached!
% 1.56/0.53 % (109543)------------------------------
% 1.56/0.53 % (109543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109543)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109543)Termination reason: Instruction limit
% 1.56/0.53 % (109543)Termination phase: Saturation
% 1.56/0.53 % (109543)Time elapsed: 0.010 s
% 1.56/0.53 % (109543)Peak memory usage: 12 MB
% 1.56/0.53 % (109543)Instructions burned: 20 (million)
% 1.56/0.53 % (109549)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1778667062:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.56/0.53 % (109488)Instruction limit reached!
% 1.56/0.53 % (109488)------------------------------
% 1.56/0.53 % (109488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109488)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109488)Termination reason: Instruction limit
% 1.56/0.53 % (109488)Termination phase: Saturation
% 1.56/0.53 % (109488)Time elapsed: 0.085 s
% 1.56/0.53 % (109488)Peak memory usage: 13 MB
% 1.56/0.53 % (109488)Instructions burned: 343 (million)
% 1.56/0.53 % (109554)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1599718536:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.56/0.53 % (109559)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.56/0.53 % (109557)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3782249295:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.56/0.53 % (109558)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1733584321:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.56/0.53 % (109561)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3054094317:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.56/0.53 % (109559)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=819581527:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.56/0.53 % (109561)Refutation not found, incomplete strategy
% 1.56/0.53 % (109561)------------------------------
% 1.56/0.53 % (109561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.53 % (109561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.53 % (109561)CaDiCaL version: 2.1.3
% 1.56/0.53 % (109561)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.53 % (109561)Time elapsed: 0.003 s
% 1.56/0.53 % (109561)Peak memory usage: 12 MB
% 1.56/0.53 % (109561)Instructions burned: 11 (million)
% 1.56/0.53 % (109561)------------------------------
% 2.26/0.58 % (109561)------------------------------
% 2.26/0.58 % (109559)Instruction limit reached!
% 2.26/0.58 % (109559)------------------------------
% 2.26/0.58 % (109559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109559)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109559)Termination reason: Instruction limit
% 2.26/0.58 % (109559)Termination phase: Function definition elimination
% 2.26/0.58 % (109559)Time elapsed: 0.004 s
% 2.26/0.58 % (109559)Peak memory usage: 10 MB
% 2.26/0.58 % (109559)Instructions burned: 8 (million)
% 2.26/0.58 % (109557)Refutation not found, incomplete strategy
% 2.26/0.58 % (109557)------------------------------
% 2.26/0.58 % (109557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109557)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109557)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (109557)Time elapsed: 0.011 s
% 2.26/0.58 % (109557)Peak memory usage: 12 MB
% 2.26/0.58 % (109557)Instructions burned: 20 (million)
% 2.26/0.58 % (109557)------------------------------
% 2.26/0.58 % (109557)------------------------------
% 2.26/0.58 % (109567)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=668116070:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.26/0.58 % (109558)Instruction limit reached!
% 2.26/0.58 % (109558)------------------------------
% 2.26/0.58 % (109558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109558)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109558)Termination reason: Instruction limit
% 2.26/0.58 % (109558)Termination phase: Saturation
% 2.26/0.58 % (109558)Time elapsed: 0.021 s
% 2.26/0.58 % (109558)Peak memory usage: 12 MB
% 2.26/0.58 % (109558)Instructions burned: 43 (million)
% 2.26/0.58 % (109567)Refutation not found, incomplete strategy
% 2.26/0.58 % (109567)------------------------------
% 2.26/0.58 % (109567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109567)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109567)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (109567)Time elapsed: 0.006 s
% 2.26/0.58 % (109567)Peak memory usage: 12 MB
% 2.26/0.58 % (109567)Instructions burned: 25 (million)
% 2.26/0.58 % (109567)------------------------------
% 2.26/0.58 % (109567)------------------------------
% 2.26/0.58 % (109568)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.26/0.58 % (109568)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1264237499:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.26/0.58 % (109569)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1393110941:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.26/0.58 % (109568)Instruction limit reached!
% 2.26/0.58 % (109568)------------------------------
% 2.26/0.58 % (109568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109568)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109568)Termination reason: Instruction limit
% 2.26/0.58 % (109568)Termination phase: SInE selection
% 2.26/0.58 % (109568)Time elapsed: 0.003 s
% 2.26/0.58 % (109568)Peak memory usage: 10 MB
% 2.26/0.58 % (109568)Instructions burned: 6 (million)
% 2.26/0.58 % (109571)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=399950001:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.26/0.58 % (109569)Instruction limit reached!
% 2.26/0.58 % (109569)------------------------------
% 2.26/0.58 % (109569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109569)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109569)Termination reason: Instruction limit
% 2.26/0.58 % (109569)Termination phase: Saturation
% 2.26/0.58 % (109569)Time elapsed: 0.010 s
% 2.26/0.58 % (109569)Peak memory usage: 12 MB
% 2.26/0.58 % (109569)Instructions burned: 24 (million)
% 2.26/0.58 % (109572)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=871212721:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.26/0.58 % (109571)Instruction limit reached!
% 2.26/0.58 % (109571)------------------------------
% 2.26/0.58 % (109571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109571)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109571)Termination reason: Instruction limit
% 2.26/0.58 % (109571)Termination phase: Saturation
% 2.26/0.58 % (109571)Time elapsed: 0.008 s
% 2.26/0.58 % (109571)Peak memory usage: 11 MB
% 2.26/0.58 % (109571)Instructions burned: 19 (million)
% 2.26/0.58 % (109575)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=465165212:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.26/0.58 % (109578)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=2426585782:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.26/0.58 % (109554)Instruction limit reached!
% 2.26/0.58 % (109554)------------------------------
% 2.26/0.58 % (109554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109554)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109554)Termination reason: Instruction limit
% 2.26/0.58 % (109554)Termination phase: Saturation
% 2.26/0.58 % (109554)Time elapsed: 0.067 s
% 2.26/0.58 % (109554)Peak memory usage: 13 MB
% 2.26/0.58 % (109554)Instructions burned: 143 (million)
% 2.26/0.58 % (109578)Instruction limit reached!
% 2.26/0.58 % (109578)------------------------------
% 2.26/0.58 % (109578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109578)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109578)Termination reason: Instruction limit
% 2.26/0.58 % (109578)Termination phase: Saturation
% 2.26/0.58 % (109578)Time elapsed: 0.012 s
% 2.26/0.58 % (109578)Peak memory usage: 12 MB
% 2.26/0.58 % (109578)Instructions burned: 46 (million)
% 2.26/0.58 % (109580)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4275322023:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.26/0.58 % (109583)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.26/0.58 % (109583)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2284915276:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.26/0.58 % (109580)Refutation not found, incomplete strategy
% 2.26/0.58 % (109580)------------------------------
% 2.26/0.58 % (109580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109580)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109580)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (109580)Time elapsed: 0.007 s
% 2.26/0.58 % (109580)Peak memory usage: 12 MB
% 2.26/0.58 % (109580)Instructions burned: 14 (million)
% 2.26/0.58 % (109580)------------------------------
% 2.26/0.58 % (109580)------------------------------
% 2.26/0.58 % (109582)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3104545326:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.26/0.58 % (109582)Instruction limit reached!
% 2.26/0.58 % (109582)------------------------------
% 2.26/0.58 % (109582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109582)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109582)Termination reason: Instruction limit
% 2.26/0.58 % (109582)Termination phase: Saturation
% 2.26/0.58 % (109582)Time elapsed: 0.010 s
% 2.26/0.58 % (109582)Peak memory usage: 11 MB
% 2.26/0.58 % (109582)Instructions burned: 22 (million)
% 2.26/0.58 % (109586)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=154829205:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.26/0.58 % (109586)Instruction limit reached!
% 2.26/0.58 % (109586)------------------------------
% 2.26/0.58 % (109586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109586)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109586)Termination reason: Instruction limit
% 2.26/0.58 % (109586)Termination phase: Saturation
% 2.26/0.58 % (109586)Time elapsed: 0.007 s
% 2.26/0.58 % (109586)Peak memory usage: 11 MB
% 2.26/0.58 % (109586)Instructions burned: 13 (million)
% 2.26/0.58 % (109588)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=4205298285:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.26/0.58 % (109590)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2770308912:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.26/0.58 % (109583)Instruction limit reached!
% 2.26/0.58 % (109583)------------------------------
% 2.26/0.58 % (109583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109583)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109583)Termination reason: Instruction limit
% 2.26/0.58 % (109583)Termination phase: Saturation
% 2.26/0.58 % (109583)Time elapsed: 0.053 s
% 2.26/0.58 % (109583)Peak memory usage: 12 MB
% 2.26/0.58 % (109583)Instructions burned: 201 (million)
% 2.26/0.58 % (109572) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-109415-109572"...
% 2.26/0.58 % (109590)Refutation not found, incomplete strategy
% 2.26/0.58 % (109590)------------------------------
% 2.26/0.58 % (109590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109590)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109590)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (109590)Time elapsed: 0.014 s
% 2.26/0.58 % (109590)Peak memory usage: 12 MB
% 2.26/0.58 % (109590)Instructions burned: 32 (million)
% 2.26/0.58 % (109590)------------------------------
% 2.26/0.58 % (109590)------------------------------
% 2.26/0.58 % (109593)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4260182322:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.26/0.58 % (109572)...printing done.
% 2.26/0.58 % (109588)Instruction limit reached!
% 2.26/0.58 % (109588)------------------------------
% 2.26/0.58 % (109588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (109588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (109588)CaDiCaL version: 2.1.3
% 2.26/0.58 % (109588)Termination reason: Instruction limit
% 2.26/0.58 % (109588)Termination phase: Saturation
% 2.26/0.58 % (109588)Time elapsed: 0.031 s
% 2.26/0.58 % (109588)Peak memory usage: 12 MB
% 2.26/0.58 % (109588)Instructions burned: 68 (million)
% 2.26/0.58 % (109572)Refutation found. Thanks to Tanya!
% 2.26/0.58 % SZS status Theorem for theBenchmark
% 2.26/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.59 % (109572)------------------------------
% 2.26/0.59 % (109572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.59 % (109572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.59 % (109572)CaDiCaL version: 2.1.3
% 2.26/0.59 % (109572)Termination reason: Refutation
% 2.26/0.59 % (109572)Time elapsed: 0.096 s
% 2.26/0.59 % (109572)Peak memory usage: 15 MB
% 2.26/0.59 % (109572)Instructions burned: 170 (million)
% 2.26/0.59 % (109415)Success in time 0.35 s
% 2.26/0.59 % Vampire exiting
%------------------------------------------------------------------------------