%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT035^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 07:44:38 AM UTC 2026
% Result : Theorem 1.83s 0.58s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 16
% Syntax : Number of formulae : 159 ( 142 unt; 0 typ; 0 def)
% Number of atoms : 972 ( 141 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 2072 ( 240 ~; 196 |; 0 &;1494 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 161 ( 161 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 60 usr; 10 con; 0-4 aty)
% ( 142 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 462 ( 373 ^; 89 !; 0 ?; 462 :)
% 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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
vNOT: $o > $o ).
thf(func_def_45,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_50,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vIMP: $o > $o > $o ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vOR: $o > $o > $o ).
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(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(f41,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(f42,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
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/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(f46,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(f50,conjecture,
mvalid @ ( likes @ jan @ cola ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid @ ( likes @ jan @ cola ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
thf(f64,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f65,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f66,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f67,plain,
~ ( mvalid @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f51]) ).
thf(f68,plain,
( ( ~ ( mvalid @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f67]) ).
thf(f69,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(f70,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,[],[f69]) ).
thf(f73,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f74,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f73]) ).
thf(f77,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f78,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f85,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f86,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f95,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f96,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f95]) ).
thf(f99,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f100,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f99]) ).
thf(f105,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f106,plain,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f41]) ).
thf(f107,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f106]) ).
thf(f109,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f114,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f115,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f114]) ).
thf(f116,plain,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
inference(rectify,[],[f42]) ).
thf(f117,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f116]) ).
thf(f118,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f119,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f118]) ).
thf(f138,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f46]) ).
thf(f139,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f138]) ).
thf(f143,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f117]) ).
thf(f145,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f119]) ).
thf(f147,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f105]) ).
thf(f148,plain,
( ( ~ ( mvalid @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f151,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f139]) ).
thf(f157,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f100]) ).
thf(f158,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f109]) ).
thf(f159,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f96]) ).
thf(f160,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f166,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f170,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f172,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f115]) ).
thf(f181,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f185,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,[],[f70]) ).
thf(f187,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f107]) ).
thf(f191,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f74]) ).
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,[],[f170,f191,f181,f191,f191]) ).
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,[],[f147,f181,f191]) ).
thf(f202,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f158,f191,f166,f191]) ).
thf(f203,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a3
@ ( likes @ piotr @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f143,f157,f202]) ).
thf(f204,plain,
( $true
= ( ^ [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 ) ) )
@ a2
@ ( likes @ jan @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f145,f157,f166]) ).
thf(f205,plain,
( ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f148,f157]) ).
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 > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ~ ( Y4 @ Y6 @ Y7 )
| ( Y5 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a3
@ ( very_much_likes @ Y0 @ Y1 ) )
@ ( likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f151,f157,f172,f172,f195,f202]) ).
thf(f211,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] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ 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,[],[f159,f157,f172,f166,f195]) ).
thf(f212,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 @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f160,f157,f166]) ).
thf(f220,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] :
( ~ ( 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 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f185,f157,f172,f172,f166,f195,f194,f194,f166,f166]) ).
thf(f221,plain,
( $true
= ( ^ [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 ) ) )
@ a3
@ ( likes @ jan @ cola ) ) ) ),
inference(definition_unfolding,[],[f187,f157,f166]) ).
thf(f223,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f224,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f226,plain,
( $true
= ( ~ ( !! @ $i @ ( likes @ jan @ cola ) ) ) ),
inference(beta-eta_normalization,[],[f205]) ).
thf(f229,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(beta-eta_normalization,[],[f220]) ).
thf(f230,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(boolean_simplification,[],[f229]) ).
thf(f231,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(boolean_simplification,[],[f230]) ).
thf(f238,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f221]) ).
thf(f239,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f240,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f242,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f243,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f242]) ).
thf(f249,plain,
( $false
= ( !! @ $i @ ( likes @ jan @ cola ) ) ),
inference(not_proxy_clausification,[],[f226]) ).
thf(f250,plain,
( $false
= ( likes @ jan @ cola @ sK0 ) ),
inference(sigma_proxy_clausification,[],[f249]) ).
thf(f258,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f224]) ).
thf(f259,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f258]) ).
thf(f288,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f238]) ).
thf(f289,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f288]) ).
thf(f290,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f289]) ).
thf(f291,plain,
! [X2: $i,X1: $i] :
( ( ~ ( a3 @ X1 @ X2 )
| ( likes @ jan @ cola @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f290]) ).
thf(f295,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f239]) ).
thf(f296,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f295]) ).
thf(f300,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f296]) ).
thf(f301,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X2 )
| ( likes @ jan @ pepsi @ X2 ) ) ),
inference(beta-eta_normalization,[],[f300]) ).
thf(f318,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f223]) ).
thf(f319,plain,
! [X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f318]) ).
thf(f320,plain,
! [X1: $i] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f319]) ).
thf(f321,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) )
@ ( sK1 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f320]) ).
thf(f322,plain,
! [X1: $i] :
( ( ~ ( a3 @ X1 @ ( sK1 @ X1 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK1 @ X1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f321]) ).
thf(f324,plain,
! [X1: $i] :
( $false
= ( ~ ( a3 @ X1 @ ( sK1 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f322]) ).
thf(f327,plain,
! [X1: $i] :
( $true
= ( a3 @ X1 @ ( sK1 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f324]) ).
thf(f329,plain,
! [X0: $i] :
( $true
= ( $false
| ( likes @ jan @ cola @ ( sK1 @ X0 ) ) ) ),
inference(superposition,[],[f291,f324]) ).
thf(f330,plain,
! [X0: $i] :
( $true
= ( likes @ jan @ cola @ ( sK1 @ X0 ) ) ),
inference(boolean_simplification,[],[f329]) ).
thf(f410,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f240]) ).
thf(f411,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f410]) ).
thf(f417,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f411]) ).
thf(f418,plain,
! [X2: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f417]) ).
thf(f422,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f418]) ).
thf(f423,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ~ ( a2 @ X1 @ X3 )
| ( likes @ X2 @ cola @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 ) )
= $true ),
inference(beta-eta_normalization,[],[f422]) ).
thf(f518,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f519,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( likes @ Y0 @ Y1 @ X1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f518]) ).
thf(f525,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( likes @ Y0 @ Y1 @ X1 )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f519]) ).
thf(f526,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ( likes @ X2 @ Y0 @ X1 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ( very_much_likes @ X2 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f525]) ).
thf(f528,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( likes @ X2 @ Y0 @ X1 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ( very_much_likes @ X2 @ Y0 @ Y1 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f526]) ).
thf(f529,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( likes @ X2 @ X3 @ X1 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f528]) ).
thf(f537,plain,
( ( $false
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ sK0 @ Y0 )
| ~ ( very_much_likes @ jan @ cola @ Y0 ) ) ) )
= $true ),
inference(superposition,[],[f529,f250]) ).
thf(f542,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ sK0 @ Y0 )
| ~ ( very_much_likes @ jan @ cola @ Y0 ) ) ) ),
inference(boolean_simplification,[],[f537]) ).
thf(f549,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( a3 @ sK0 @ Y0 )
| ~ ( very_much_likes @ jan @ cola @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f542]) ).
thf(f550,plain,
! [X1: $i] :
( ( ~ ( a3 @ sK0 @ X1 )
| ~ ( very_much_likes @ jan @ cola @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f549]) ).
thf(f557,plain,
( ( $false
| ~ ( very_much_likes @ jan @ cola @ ( sK1 @ sK0 ) ) )
= $true ),
inference(superposition,[],[f550,f324]) ).
thf(f560,plain,
( $true
= ( ~ ( very_much_likes @ jan @ cola @ ( sK1 @ sK0 ) ) ) ),
inference(boolean_simplification,[],[f557]) ).
thf(f566,plain,
( ( very_much_likes @ jan @ cola @ ( sK1 @ sK0 ) )
= $false ),
inference(not_proxy_clausification,[],[f560]) ).
thf(f729,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,[],[f231]) ).
thf(f730,plain,
! [X1: $i] :
( ( !! @ 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 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f729]) ).
thf(f738,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,[],[f730]) ).
thf(f739,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,[],[f738]) ).
thf(f755,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,[],[f739]) ).
thf(f756,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( !! @ $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 ) ) ) ),
inference(beta-eta_normalization,[],[f755]) ).
thf(f758,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ^ [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 ) ),
inference(pi_proxy_clausification,[],[f756]) ).
thf(f759,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,[],[f758]) ).
thf(f780,plain,
! [X2: mu,X0: $i,X1: mu] :
( $true
= ( ~ $true
| ( very_much_likes @ X1 @ X2 @ ( sK1 @ X0 ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( likes @ X1 @ X2 @ ( sK1 @ X0 ) ) ) ),
inference(superposition,[],[f759,f327]) ).
thf(f815,plain,
! [X2: mu,X0: $i,X1: mu] :
( ( $false
| ( very_much_likes @ X1 @ X2 @ ( sK1 @ X0 ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( likes @ X1 @ X2 @ ( sK1 @ X0 ) ) )
= $true ),
inference(boolean_simplification,[],[f780]) ).
thf(f816,plain,
! [X2: mu,X0: $i,X1: mu] :
( $true
= ( ( very_much_likes @ X1 @ X2 @ ( sK1 @ X0 ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ ( sK1 @ X0 ) @ Y0 )
| ( likes @ X1 @ X2 @ Y0 ) ) )
| ~ ( likes @ X1 @ X2 @ ( sK1 @ X0 ) ) ) ),
inference(boolean_simplification,[],[f815]) ).
thf(f965,plain,
( ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ ( likes @ jan @ cola @ ( sK1 @ sK0 ) ) )
= $true ),
inference(superposition,[],[f816,f566]) ).
thf(f970,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ ( likes @ jan @ cola @ ( sK1 @ sK0 ) ) )
= $true ),
inference(boolean_simplification,[],[f965]) ).
thf(f980,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ $true
| ~ ( likes @ jan @ cola @ ( sK1 @ sK0 ) ) )
= $true ),
inference(forward_demodulation,[],[f970,f259]) ).
thf(f981,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| $false
| ~ ( likes @ jan @ cola @ ( sK1 @ sK0 ) ) )
= $true ),
inference(boolean_simplification,[],[f980]) ).
thf(f982,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ ( likes @ jan @ cola @ ( sK1 @ sK0 ) ) ) ),
inference(boolean_simplification,[],[f981]) ).
thf(f989,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| ~ $true ) ),
inference(forward_demodulation,[],[f982,f330]) ).
thf(f990,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) )
| $false )
= $true ),
inference(boolean_simplification,[],[f989]) ).
thf(f991,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f990]) ).
thf(f993,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f991]) ).
thf(f996,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ ( sK1 @ sK0 ) @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ sK8 ) ),
inference(sigma_proxy_clausification,[],[f993]) ).
thf(f997,plain,
( ( ~ ( a2 @ ( sK1 @ sK0 ) @ sK8 )
| ( likes @ jan @ cola @ sK8 ) )
= $false ),
inference(beta-eta_normalization,[],[f996]) ).
thf(f1011,plain,
( ( likes @ jan @ cola @ sK8 )
= $false ),
inference(or_proxy_clausification,[],[f997]) ).
thf(f1012,plain,
( $false
= ( ~ ( a2 @ ( sK1 @ sK0 ) @ sK8 ) ) ),
inference(or_proxy_clausification,[],[f997]) ).
thf(f1129,plain,
( ( a2 @ ( sK1 @ sK0 ) @ sK8 )
= $true ),
inference(not_proxy_clausification,[],[f1012]) ).
thf(f1133,plain,
( $true
= ( $false
| ( likes @ jan @ pepsi @ sK8 ) ) ),
inference(superposition,[],[f301,f1012]) ).
thf(f1135,plain,
( ( likes @ jan @ pepsi @ sK8 )
= $true ),
inference(boolean_simplification,[],[f1133]) ).
thf(f1154,plain,
! [X0: $i] :
( ( ~ ( a2 @ X0 @ sK8 )
| ( likes @ jan @ cola @ sK8 )
| ~ $true )
= $true ),
inference(superposition,[],[f423,f1135]) ).
thf(f1163,plain,
! [X0: $i] :
( ( ~ ( a2 @ X0 @ sK8 )
| ( likes @ jan @ cola @ sK8 )
| $false )
= $true ),
inference(boolean_simplification,[],[f1154]) ).
thf(f1164,plain,
! [X0: $i] :
( $true
= ( ~ ( a2 @ X0 @ sK8 )
| ( likes @ jan @ cola @ sK8 ) ) ),
inference(boolean_simplification,[],[f1163]) ).
thf(f1170,plain,
! [X0: $i] :
( ( ~ ( a2 @ X0 @ sK8 )
| $false )
= $true ),
inference(forward_demodulation,[],[f1164,f1011]) ).
thf(f1171,plain,
! [X0: $i] :
( $true
= ( ~ ( a2 @ X0 @ sK8 ) ) ),
inference(boolean_simplification,[],[f1170]) ).
thf(f1174,plain,
( $true = ( ~ $true ) ),
inference(superposition,[],[f1171,f1129]) ).
thf(f1181,plain,
$false = $true,
inference(boolean_simplification,[],[f1174]) ).
thf(f1182,plain,
$false,
inference(trivial_inequality_removal,[],[f1181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT035^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:30:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.36 % (1967240)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.77/0.36 % (1967256)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2874653165:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.77/0.36 % (1967257)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.77/0.36 % (1967257)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
% 0.77/0.36 % (1967250)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3387872500:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.77/0.36 % (1967251)lrs+10_16_si=on:nwc=1.5:random_seed=2453694660:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.77/0.36 % (1967253)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3475316446:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.77/0.36 % (1967257)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=496251048:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.77/0.36 % (1967255)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3454761345:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.77/0.36 % (1967254)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=3766573126: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)
% 0.77/0.36 % (1967253)Instruction limit reached!
% 0.77/0.36 % (1967253)------------------------------
% 0.77/0.36 % (1967253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.36 % (1967253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.36 % (1967253)CaDiCaL version: 2.1.3
% 0.77/0.36 % (1967253)Termination reason: Instruction limit
% 0.77/0.36 % (1967253)Termination phase: Property scanning
% 0.77/0.36 % (1967253)Time elapsed: 0.002 s
% 0.77/0.36 % (1967253)Peak memory usage: 10 MB
% 0.77/0.36 % (1967253)Instructions burned: 4 (million)
% 0.77/0.36 % (1967251)Instruction limit reached!
% 0.77/0.36 % (1967251)------------------------------
% 0.77/0.36 % (1967251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.36 % (1967251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.36 % (1967251)CaDiCaL version: 2.1.3
% 0.77/0.36 % (1967251)Termination reason: Instruction limit
% 0.77/0.36 % (1967251)Termination phase: Saturation
% 0.77/0.36 % (1967251)Time elapsed: 0.008 s
% 0.77/0.36 % (1967251)Peak memory usage: 11 MB
% 0.77/0.36 % (1967251)Instructions burned: 19 (million)
% 0.77/0.36 % (1967256)Instruction limit reached!
% 0.77/0.36 % (1967256)------------------------------
% 0.77/0.36 % (1967256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.36 % (1967256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.36 % (1967256)CaDiCaL version: 2.1.3
% 0.77/0.36 % (1967256)Termination reason: Instruction limit
% 0.77/0.36 % (1967256)Termination phase: Saturation
% 0.77/0.36 % (1967256)Time elapsed: 0.019 s
% 0.77/0.36 % (1967256)Peak memory usage: 12 MB
% 0.77/0.36 % (1967256)Instructions burned: 76 (million)
% 0.77/0.36 % (1967255)Instruction limit reached!
% 0.77/0.36 % (1967255)------------------------------
% 0.77/0.36 % (1967255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.36 % (1967255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.36 % (1967255)CaDiCaL version: 2.1.3
% 0.77/0.36 % (1967255)Termination reason: Instruction limit
% 0.77/0.36 % (1967255)Termination phase: Saturation
% 0.77/0.36 % (1967255)Time elapsed: 0.013 s
% 0.77/0.36 % (1967255)Peak memory usage: 11 MB
% 0.77/0.36 % (1967255)Instructions burned: 24 (million)
% 0.77/0.36 % (1967278)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.36 % (1967272)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2960159813:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.39 % (1967272)Instruction limit reached!
% 0.77/0.39 % (1967272)------------------------------
% 0.77/0.39 % (1967272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.39 % (1967272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.39 % (1967272)CaDiCaL version: 2.1.3
% 0.77/0.39 % (1967272)Termination reason: Instruction limit
% 0.77/0.39 % (1967272)Termination phase: shuffling
% 0.77/0.39 % (1967272)Time elapsed: 0.001 s
% 0.77/0.39 % (1967272)Peak memory usage: 9 MB
% 0.77/0.39 % (1967272)Instructions burned: 2 (million)
% 0.77/0.39 % (1967278)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2336565824:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.77/0.39 % (1967278)Instruction limit reached!
% 0.77/0.39 % (1967278)------------------------------
% 0.77/0.39 % (1967278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.39 % (1967278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.39 % (1967278)CaDiCaL version: 2.1.3
% 0.77/0.39 % (1967278)Termination reason: Instruction limit
% 0.77/0.39 % (1967278)Termination phase: Function definition elimination
% 0.77/0.39 % (1967278)Time elapsed: 0.002 s
% 0.77/0.39 % (1967278)Peak memory usage: 10 MB
% 0.77/0.39 % (1967278)Instructions burned: 9 (million)
% 0.77/0.39 % (1967275)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2376036910:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.77/0.39 % (1967275)Instruction limit reached!
% 0.77/0.39 % (1967275)------------------------------
% 0.77/0.39 % (1967275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.39 % (1967275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.39 % (1967275)CaDiCaL version: 2.1.3
% 0.77/0.39 % (1967275)Termination reason: Instruction limit
% 0.77/0.39 % (1967275)Termination phase: Clausification
% 0.77/0.39 % (1967275)Time elapsed: 0.003 s
% 0.77/0.39 % (1967275)Peak memory usage: 10 MB
% 0.77/0.39 % (1967275)Instructions burned: 7 (million)
% 0.77/0.39 % (1967280)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3812494216:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.77/0.39 % (1967289)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=2182533411:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.77/0.39 % (1967287)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
% 0.77/0.39 % (1967287)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.39 % (1967280)Instruction limit reached!
% 0.77/0.39 % (1967280)------------------------------
% 0.77/0.39 % (1967280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.39 % (1967280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.39 % (1967280)CaDiCaL version: 2.1.3
% 0.77/0.39 % (1967280)Termination reason: Instruction limit
% 0.77/0.39 % (1967280)Termination phase: Property scanning
% 0.77/0.39 % (1967280)Time elapsed: 0.006 s
% 0.77/0.39 % (1967280)Peak memory usage: 10 MB
% 0.77/0.39 % (1967280)Instructions burned: 14 (million)
% 0.77/0.39 % (1967250)Instruction limit reached!
% 0.77/0.39 % (1967250)------------------------------
% 0.77/0.39 % (1967250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.39 % (1967250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.39 % (1967250)CaDiCaL version: 2.1.3
% 0.77/0.39 % (1967250)Termination reason: Instruction limit
% 0.77/0.39 % (1967250)Termination phase: Saturation
% 0.77/0.39 % (1967250)Time elapsed: 0.042 s
% 0.77/0.39 % (1967250)Peak memory usage: 12 MB
% 0.77/0.39 % (1967250)Instructions burned: 87 (million)
% 0.77/0.39 % (1967287)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2983056405:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.77/0.39 % (1967294)lrs+10_1_si=on:cs=on:random_seed=1663132026:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.77/0.41 % (1967300)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.77/0.41 % (1967294)Instruction limit reached!
% 0.77/0.41 % (1967294)------------------------------
% 0.77/0.41 % (1967294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967294)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967294)Termination reason: Instruction limit
% 0.77/0.41 % (1967294)Termination phase: Property scanning
% 0.77/0.41 % (1967294)Time elapsed: 0.004 s
% 0.77/0.41 % (1967294)Peak memory usage: 10 MB
% 0.77/0.41 % (1967294)Instructions burned: 8 (million)
% 0.77/0.41 % (1967287)Instruction limit reached!
% 0.77/0.41 % (1967287)------------------------------
% 0.77/0.41 % (1967287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967287)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967287)Termination reason: Instruction limit
% 0.77/0.41 % (1967287)Termination phase: Saturation
% 0.77/0.41 % (1967287)Time elapsed: 0.014 s
% 0.77/0.41 % (1967287)Peak memory usage: 11 MB
% 0.77/0.41 % (1967287)Instructions burned: 29 (million)
% 0.77/0.41 % (1967300)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=2870038140:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.41 % (1967289)Instruction limit reached!
% 0.77/0.41 % (1967289)------------------------------
% 0.77/0.41 % (1967289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967289)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967289)Termination reason: Instruction limit
% 0.77/0.41 % (1967289)Termination phase: Saturation
% 0.77/0.41 % (1967289)Time elapsed: 0.024 s
% 0.77/0.41 % (1967289)Peak memory usage: 12 MB
% 0.77/0.41 % (1967289)Instructions burned: 88 (million)
% 0.77/0.41 % (1967303)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2627769686:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.77/0.41 % (1967300)Instruction limit reached!
% 0.77/0.41 % (1967300)------------------------------
% 0.77/0.41 % (1967300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967300)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967300)Termination reason: Instruction limit
% 0.77/0.41 % (1967300)Termination phase: Property scanning
% 0.77/0.41 % (1967300)Time elapsed: 0.003 s
% 0.77/0.41 % (1967300)Peak memory usage: 10 MB
% 0.77/0.41 % (1967300)Instructions burned: 7 (million)
% 0.77/0.41 % (1967303)Refutation not found, incomplete strategy
% 0.77/0.41 % (1967303)------------------------------
% 0.77/0.41 % (1967303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967303)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967303)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.41 % (1967303)Time elapsed: 0.007 s
% 0.77/0.41 % (1967303)Peak memory usage: 12 MB
% 0.77/0.41 % (1967303)Instructions burned: 13 (million)
% 0.77/0.41 % (1967303)------------------------------
% 0.77/0.41 % (1967303)------------------------------
% 0.77/0.41 % (1967320)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2585019448:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.77/0.41 % (1967311)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2786791144:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.77/0.41 % (1967320)Instruction limit reached!
% 0.77/0.41 % (1967320)------------------------------
% 0.77/0.41 % (1967320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.41 % (1967320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.41 % (1967320)CaDiCaL version: 2.1.3
% 0.77/0.41 % (1967320)Termination reason: Instruction limit
% 0.77/0.41 % (1967320)Termination phase: Saturation
% 0.77/0.41 % (1967320)Time elapsed: 0.004 s
% 0.77/0.41 % (1967320)Peak memory usage: 12 MB
% 0.77/0.41 % (1967320)Instructions burned: 17 (million)
% 0.77/0.44 % (1967257)Instruction limit reached!
% 0.77/0.44 % (1967257)------------------------------
% 0.77/0.44 % (1967257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.44 % (1967257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.44 % (1967257)CaDiCaL version: 2.1.3
% 0.77/0.44 % (1967257)Termination reason: Instruction limit
% 0.77/0.44 % (1967257)Termination phase: Saturation
% 0.77/0.44 % (1967257)Time elapsed: 0.076 s
% 0.77/0.44 % (1967257)Peak memory usage: 12 MB
% 0.77/0.44 % (1967257)Instructions burned: 157 (million)
% 0.77/0.44 % (1967315)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3496935151:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.77/0.44 % (1967311)Refutation not found, incomplete strategy
% 0.77/0.44 % (1967311)------------------------------
% 0.77/0.44 % (1967311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.44 % (1967311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.44 % (1967311)CaDiCaL version: 2.1.3
% 0.77/0.44 % (1967311)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.44 % (1967311)Time elapsed: 0.006 s
% 0.77/0.44 % (1967311)Peak memory usage: 12 MB
% 0.77/0.44 % (1967311)Instructions burned: 11 (million)
% 0.77/0.44 % (1967311)------------------------------
% 0.77/0.44 % (1967311)------------------------------
% 0.77/0.44 % (1967323)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3620617586:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.77/0.44 % (1967330)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=6846147: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)
% 0.77/0.44 % (1967327)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2498129948:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.77/0.44 % (1967330)Instruction limit reached!
% 0.77/0.44 % (1967330)------------------------------
% 0.77/0.44 % (1967330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.44 % (1967330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.44 % (1967330)CaDiCaL version: 2.1.3
% 0.77/0.44 % (1967330)Termination reason: Instruction limit
% 0.77/0.44 % (1967330)Termination phase: Property scanning
% 0.77/0.44 % (1967330)Time elapsed: 0.001 s
% 0.77/0.44 % (1967330)Peak memory usage: 10 MB
% 0.77/0.44 % (1967330)Instructions burned: 4 (million)
% 0.77/0.44 % (1967315)Instruction limit reached!
% 0.77/0.44 % (1967315)------------------------------
% 0.77/0.44 % (1967315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.44 % (1967315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.44 % (1967315)CaDiCaL version: 2.1.3
% 0.77/0.44 % (1967315)Termination reason: Instruction limit
% 0.77/0.44 % (1967315)Termination phase: Saturation
% 0.77/0.44 % (1967315)Time elapsed: 0.014 s
% 0.77/0.44 % (1967315)Peak memory usage: 12 MB
% 0.77/0.44 % (1967315)Instructions burned: 25 (million)
% 0.77/0.44 % (1967327)Instruction limit reached!
% 0.77/0.44 % (1967327)------------------------------
% 0.77/0.44 % (1967327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.44 % (1967327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.44 % (1967327)CaDiCaL version: 2.1.3
% 0.77/0.44 % (1967327)Termination reason: Instruction limit
% 0.77/0.44 % (1967327)Termination phase: Property scanning
% 0.77/0.44 % (1967327)Time elapsed: 0.006 s
% 0.77/0.44 % (1967327)Peak memory usage: 10 MB
% 0.77/0.44 % (1967327)Instructions burned: 15 (million)
% 0.77/0.44 % (1967332)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=723515013:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.77/0.44 % (1967342)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1449023230:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.77/0.44 % (1967337)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2511057535:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.77/0.44 % (1967344)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
% 1.50/0.47 % (1967344)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.50/0.47 % (1967332)Instruction limit reached!
% 1.50/0.47 % (1967332)------------------------------
% 1.50/0.47 % (1967332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967332)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967332)Termination reason: Instruction limit
% 1.50/0.47 % (1967332)Termination phase: Saturation
% 1.50/0.47 % (1967332)Time elapsed: 0.011 s
% 1.50/0.47 % (1967332)Peak memory usage: 11 MB
% 1.50/0.47 % (1967332)Instructions burned: 27 (million)
% 1.50/0.47 % (1967323)Refutation not found, incomplete strategy
% 1.50/0.47 % (1967323)------------------------------
% 1.50/0.47 % (1967323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967323)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967323)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.47 % (1967323)Time elapsed: 0.024 s
% 1.50/0.47 % (1967323)Peak memory usage: 12 MB
% 1.50/0.47 % (1967323)Instructions burned: 32 (million)
% 1.50/0.47 % (1967345)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.50/0.47 % (1967323)------------------------------
% 1.50/0.47 % (1967323)------------------------------
% 1.50/0.47 % (1967344)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=3122175009:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.50/0.47 % (1967337)Instruction limit reached!
% 1.50/0.47 % (1967337)------------------------------
% 1.50/0.47 % (1967337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967337)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967337)Termination reason: Instruction limit
% 1.50/0.47 % (1967337)Termination phase: Saturation
% 1.50/0.47 % (1967337)Time elapsed: 0.011 s
% 1.50/0.47 % (1967337)Peak memory usage: 11 MB
% 1.50/0.47 % (1967337)Instructions burned: 24 (million)
% 1.50/0.47 % (1967345)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=3406642082:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.50/0.47 % (1967342)Instruction limit reached!
% 1.50/0.47 % (1967342)------------------------------
% 1.50/0.47 % (1967342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967342)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967342)Termination reason: Instruction limit
% 1.50/0.47 % (1967342)Termination phase: Saturation
% 1.50/0.47 % (1967342)Time elapsed: 0.017 s
% 1.50/0.47 % (1967342)Peak memory usage: 12 MB
% 1.50/0.47 % (1967342)Instructions burned: 60 (million)
% 1.50/0.47 % (1967344)Instruction limit reached!
% 1.50/0.47 % (1967344)------------------------------
% 1.50/0.47 % (1967344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967344)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967344)Termination reason: Instruction limit
% 1.50/0.47 % (1967344)Termination phase: Saturation
% 1.50/0.47 % (1967344)Time elapsed: 0.006 s
% 1.50/0.47 % (1967344)Peak memory usage: 11 MB
% 1.50/0.47 % (1967344)Instructions burned: 15 (million)
% 1.50/0.47 % (1967345)Instruction limit reached!
% 1.50/0.47 % (1967345)------------------------------
% 1.50/0.47 % (1967345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.47 % (1967345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.47 % (1967345)CaDiCaL version: 2.1.3
% 1.50/0.47 % (1967345)Termination reason: Instruction limit
% 1.50/0.47 % (1967345)Termination phase: Property scanning
% 1.50/0.47 % (1967345)Time elapsed: 0.004 s
% 1.50/0.47 % (1967345)Peak memory usage: 11 MB
% 1.50/0.47 % (1967345)Instructions burned: 8 (million)
% 1.50/0.47 % (1967349)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=2052000591:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.50/0.53 % (1967356)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3096859327:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.50/0.53 % (1967351)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3731578650:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.53 % (1967352)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3980477058:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.50/0.53 % (1967356)Instruction limit reached!
% 1.50/0.53 % (1967356)------------------------------
% 1.50/0.53 % (1967356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.53 % (1967356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.53 % (1967356)CaDiCaL version: 2.1.3
% 1.50/0.53 % (1967356)Termination reason: Instruction limit
% 1.50/0.53 % (1967356)Termination phase: Saturation
% 1.50/0.53 % (1967356)Time elapsed: 0.006 s
% 1.50/0.53 % (1967356)Peak memory usage: 12 MB
% 1.50/0.53 % (1967356)Instructions burned: 20 (million)
% 1.50/0.53 % (1967351)Instruction limit reached!
% 1.50/0.53 % (1967351)------------------------------
% 1.50/0.53 % (1967351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.53 % (1967351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.53 % (1967351)CaDiCaL version: 2.1.3
% 1.50/0.53 % (1967351)Termination reason: Instruction limit
% 1.50/0.53 % (1967351)Termination phase: Property scanning
% 1.50/0.53 % (1967351)Time elapsed: 0.004 s
% 1.50/0.53 % (1967351)Peak memory usage: 10 MB
% 1.50/0.53 % (1967351)Instructions burned: 9 (million)
% 1.50/0.53 % (1967358)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2006239606:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.50/0.53 % (1967357)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3263407444:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.50/0.53 % (1967352)Instruction limit reached!
% 1.50/0.53 % (1967352)------------------------------
% 1.50/0.53 % (1967352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.53 % (1967352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.53 % (1967352)CaDiCaL version: 2.1.3
% 1.50/0.53 % (1967352)Termination reason: Instruction limit
% 1.50/0.53 % (1967352)Termination phase: Saturation
% 1.50/0.53 % (1967352)Time elapsed: 0.011 s
% 1.50/0.53 % (1967352)Peak memory usage: 11 MB
% 1.50/0.53 % (1967352)Instructions burned: 25 (million)
% 1.50/0.53 % (1967349)Instruction limit reached!
% 1.50/0.53 % (1967349)------------------------------
% 1.50/0.53 % (1967349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.53 % (1967349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.53 % (1967349)CaDiCaL version: 2.1.3
% 1.50/0.53 % (1967349)Termination reason: Instruction limit
% 1.50/0.53 % (1967349)Termination phase: Saturation
% 1.50/0.53 % (1967349)Time elapsed: 0.016 s
% 1.50/0.53 % (1967349)Peak memory usage: 12 MB
% 1.50/0.53 % (1967349)Instructions burned: 32 (million)
% 1.50/0.53 % (1967368)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3095904799:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.50/0.53 % (1967368)Refutation not found, incomplete strategy
% 1.50/0.53 % (1967368)------------------------------
% 1.50/0.53 % (1967368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.53 % (1967368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.53 % (1967368)CaDiCaL version: 2.1.3
% 1.50/0.53 % (1967368)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.53 % (1967368)Time elapsed: 0.004 s
% 1.50/0.53 % (1967368)Peak memory usage: 12 MB
% 1.50/0.53 % (1967368)Instructions burned: 16 (million)
% 1.50/0.53 % (1967368)------------------------------
% 1.50/0.53 % (1967368)------------------------------
% 1.50/0.53 % (1967374)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.53 % (1967369)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=722244375:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.50/0.57 % (1967374)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3932513441:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.57 % (1967377)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=297425991:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.50/0.57 % (1967374)Instruction limit reached!
% 1.50/0.57 % (1967374)------------------------------
% 1.50/0.57 % (1967374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.57 % (1967374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.57 % (1967374)CaDiCaL version: 2.1.3
% 1.50/0.57 % (1967374)Termination reason: Instruction limit
% 1.50/0.57 % (1967374)Termination phase: Function definition elimination
% 1.50/0.57 % (1967374)Time elapsed: 0.004 s
% 1.50/0.57 % (1967374)Peak memory usage: 10 MB
% 1.50/0.57 % (1967374)Instructions burned: 9 (million)
% 1.50/0.57 % (1967381)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=3324630966:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.83/0.57 % (1967377)Refutation not found, incomplete strategy
% 1.83/0.57 % (1967377)------------------------------
% 1.83/0.57 % (1967377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (1967377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (1967377)CaDiCaL version: 2.1.3
% 1.83/0.57 % (1967377)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.57 % (1967377)Time elapsed: 0.007 s
% 1.83/0.57 % (1967377)Peak memory usage: 12 MB
% 1.83/0.57 % (1967377)Instructions burned: 12 (million)
% 1.83/0.57 % (1967377)------------------------------
% 1.83/0.57 % (1967377)------------------------------
% 1.83/0.57 % (1967381)Refutation not found, incomplete strategy
% 1.83/0.57 % (1967381)------------------------------
% 1.83/0.57 % (1967381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.57 % (1967381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.57 % (1967381)CaDiCaL version: 2.1.3
% 1.83/0.57 % (1967381)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.57 % (1967381)Time elapsed: 0.005 s
% 1.83/0.57 % (1967381)Peak memory usage: 12 MB
% 1.83/0.57 % (1967381)Instructions burned: 19 (million)
% 1.83/0.57 % (1967381)------------------------------
% 1.83/0.57 % (1967381)------------------------------
% 1.83/0.57 % (1967389)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.83/0.57 % (1967392)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=975389160:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.83/0.57 % (1967389)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2064477430:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.83/0.57 % (1967389)Instruction limit reached!
% 1.83/0.57 % (1967389)------------------------------
% 1.83/0.58 % (1967389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967389)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967389)Termination reason: Instruction limit
% 1.83/0.58 % (1967389)Termination phase: SInE selection
% 1.83/0.58 % (1967389)Time elapsed: 0.004 s
% 1.83/0.58 % (1967389)Peak memory usage: 10 MB
% 1.83/0.58 % (1967389)Instructions burned: 8 (million)
% 1.83/0.58 % (1967392)Instruction limit reached!
% 1.83/0.58 % (1967392)------------------------------
% 1.83/0.58 % (1967392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967392)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967392)Termination reason: Instruction limit
% 1.83/0.58 % (1967392)Termination phase: Saturation
% 1.83/0.58 % (1967392)Time elapsed: 0.005 s
% 1.83/0.58 % (1967392)Peak memory usage: 11 MB
% 1.83/0.58 % (1967392)Instructions burned: 23 (million)
% 1.83/0.58 % (1967391)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=187656485:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.83/0.58 % (1967369)Instruction limit reached!
% 1.83/0.58 % (1967369)------------------------------
% 1.83/0.58 % (1967369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967369)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967369)Termination reason: Instruction limit
% 1.83/0.58 % (1967369)Termination phase: Saturation
% 1.83/0.58 % (1967369)Time elapsed: 0.037 s
% 1.83/0.58 % (1967369)Peak memory usage: 12 MB
% 1.83/0.58 % (1967369)Instructions burned: 42 (million)
% 1.83/0.58 % (1967396)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=3038017151: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)
% 1.83/0.58 % (1967358)Instruction limit reached!
% 1.83/0.58 % (1967358)------------------------------
% 1.83/0.58 % (1967358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967358)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967358)Termination reason: Instruction limit
% 1.83/0.58 % (1967358)Termination phase: Saturation
% 1.83/0.58 % (1967358)Time elapsed: 0.067 s
% 1.83/0.58 % (1967358)Peak memory usage: 12 MB
% 1.83/0.58 % (1967358)Instructions burned: 144 (million)
% 1.83/0.58 % (1967391)Instruction limit reached!
% 1.83/0.58 % (1967391)------------------------------
% 1.83/0.58 % (1967391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967391)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967391)Termination reason: Instruction limit
% 1.83/0.58 % (1967391)Termination phase: Saturation
% 1.83/0.58 % (1967391)Time elapsed: 0.013 s
% 1.83/0.58 % (1967391)Peak memory usage: 11 MB
% 1.83/0.58 % (1967391)Instructions burned: 23 (million)
% 1.83/0.58 % (1967395)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=1185829664:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.83/0.58 % (1967402)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=293562254:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.83/0.58 % (1967398)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=2614521863: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)
% 1.83/0.58 % (1967403)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3036129058: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)
% 1.83/0.58 % (1967402)Refutation not found, incomplete strategy
% 1.83/0.58 % (1967402)------------------------------
% 1.83/0.58 % (1967402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967402)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967402)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.58 % (1967402)Time elapsed: 0.009 s
% 1.83/0.58 % (1967402)Peak memory usage: 12 MB
% 1.83/0.58 % (1967402)Instructions burned: 14 (million)
% 1.83/0.58 % (1967402)------------------------------
% 1.83/0.58 % (1967402)------------------------------
% 1.83/0.58 % (1967403)Instruction limit reached!
% 1.83/0.58 % (1967403)------------------------------
% 1.83/0.58 % (1967403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967403)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967403)Termination reason: Instruction limit
% 1.83/0.58 % (1967403)Termination phase: Saturation
% 1.83/0.58 % (1967403)Time elapsed: 0.010 s
% 1.83/0.58 % (1967403)Peak memory usage: 11 MB
% 1.83/0.58 % (1967403)Instructions burned: 23 (million)
% 1.83/0.58 % (1967398)Instruction limit reached!
% 1.83/0.58 % (1967398)------------------------------
% 1.83/0.58 % (1967398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967398)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967398)Termination reason: Instruction limit
% 1.83/0.58 % (1967398)Termination phase: Saturation
% 1.83/0.58 % (1967398)Time elapsed: 0.023 s
% 1.83/0.58 % (1967398)Peak memory usage: 12 MB
% 1.83/0.58 % (1967398)Instructions burned: 45 (million)
% 1.83/0.58 % (1967421)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.83/0.58 % (1967421)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=857740164:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.83/0.58 % (1967423)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2722494615:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.83/0.58 % (1967423)Instruction limit reached!
% 1.83/0.58 % (1967423)------------------------------
% 1.83/0.58 % (1967423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967423)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967423)Termination reason: Instruction limit
% 1.83/0.58 % (1967423)Termination phase: Saturation
% 1.83/0.58 % (1967423)Time elapsed: 0.006 s
% 1.83/0.58 % (1967423)Peak memory usage: 11 MB
% 1.83/0.58 % (1967423)Instructions burned: 13 (million)
% 1.83/0.58 % (1967424)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=3529609588:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.83/0.58 % (1967395) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1967240-1967395"...
% 1.83/0.58 % (1967432)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2821884448:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.83/0.58 % (1967395)...printing done.
% 1.83/0.58 % (1967395)Refutation found. Thanks to Tanya!
% 1.83/0.58 % SZS status Theorem for theBenchmark
% 1.83/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.58 % (1967395)------------------------------
% 1.83/0.58 % (1967395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.58 % (1967395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.58 % (1967395)CaDiCaL version: 2.1.3
% 1.83/0.58 % (1967395)Termination reason: Refutation
% 1.83/0.58 % (1967395)Time elapsed: 0.080 s
% 1.83/0.58 % (1967395)Peak memory usage: 13 MB
% 1.83/0.58 % (1967395)Instructions burned: 146 (million)
% 1.83/0.58 % (1967240)Success in time 0.321 s
% 1.83/0.58 % Vampire exiting
%------------------------------------------------------------------------------