%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT034^2 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:38 AM UTC 2026
% Result : Theorem 2.11s 0.62s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 138 ( 123 unt; 0 typ; 0 def)
% Number of atoms : 884 ( 122 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 1834 ( 208 ~; 182 |; 0 &;1312 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 130 ( 130 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 61 usr; 11 con; 0-4 aty)
% ( 132 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 403 ( 330 ^; 73 !; 0 ?; 403 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_48,type,
vIMP: $o > $o > $o ).
thf(func_def_49,type,
vAND: $o > $o > $o ).
thf(func_def_50,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_55,type,
vOR: $o > $o > $o ).
thf(func_def_56,type,
vNOT: $o > $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,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
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,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
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] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
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(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(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/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(f50,conjecture,
mvalid @ ( very_much_likes @ jan @ cola ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid @ ( very_much_likes @ jan @ cola ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
thf(f52,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f53,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f52]) ).
thf(f56,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f57,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f66,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(f67,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,[],[f66]) ).
thf(f79,plain,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f41]) ).
thf(f80,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f79]) ).
thf(f81,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f82,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f83,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(f84,plain,
( $true
= ( 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 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f83]) ).
thf(f85,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f86,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f85]) ).
thf(f89,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f90,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f89]) ).
thf(f94,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f95,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f94]) ).
thf(f106,plain,
~ ( mvalid @ ( very_much_likes @ jan @ cola ) ),
inference(rectify,[],[f51]) ).
thf(f107,plain,
( ( ~ ( mvalid @ ( very_much_likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f106]) ).
thf(f108,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f109,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f108]) ).
thf(f121,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f122,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f121]) ).
thf(f125,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f133,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f142,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f90]) ).
thf(f143,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f144,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f147,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,[],[f67]) ).
thf(f153,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f82]) ).
thf(f160,plain,
( ( ~ ( mvalid @ ( very_much_likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f107]) ).
thf(f161,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f162,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f80]) ).
thf(f171,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f172,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f133]) ).
thf(f177,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f109]) ).
thf(f178,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f86]) ).
thf(f188,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f95]) ).
thf(f191,plain,
( $true
= ( 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 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f84]) ).
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] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f161,f188,f153,f188,f188]) ).
thf(f195,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f172,f153,f188]) ).
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 ) ) )
@ a1
@ ( likes @ jan @ cola ) ) ) ),
inference(definition_unfolding,[],[f142,f171,f143]) ).
thf(f204,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ 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 ) ) ) ) ) ),
inference(definition_unfolding,[],[f147,f171,f144,f144,f195,f143]) ).
thf(f211,plain,
( ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( very_much_likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f160,f171]) ).
thf(f212,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,[],[f162,f171,f143]) ).
thf(f215,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] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( likes @ Y0 @ pepsi )
@ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f177,f171,f144,f143,f195]) ).
thf(f216,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,[],[f178,f171,f143]) ).
thf(f221,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] :
( ( Y4 @ Y6 )
| ( Y5 @ 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] :
( ( Y4 @ Y6 )
| ( Y5 @ 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] :
( ( Y4 @ Y6 )
| ( Y5 @ 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,[],[f191,f171,f144,f144,f143,f195,f194,f194,f143,f143]) ).
thf(f228,plain,
( $true
= ( ~ ( !! @ $i @ ( very_much_likes @ jan @ cola ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f230,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f231,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f237,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f238,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f240,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y1 @ pepsi @ Y2 )
| ( likes @ Y1 @ cola @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f215]) ).
thf(f241,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ~ ( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f221]) ).
thf(f242,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f241]) ).
thf(f243,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f242]) ).
thf(f249,plain,
( ( !! @ $i @ ( very_much_likes @ jan @ cola ) )
= $false ),
inference(not_proxy_clausification,[],[f228]) ).
thf(f250,plain,
( $false
= ( very_much_likes @ jan @ cola @ sK0 ) ),
inference(sigma_proxy_clausification,[],[f249]) ).
thf(f263,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f230]) ).
thf(f264,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f263]) ).
thf(f265,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f264]) ).
thf(f266,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ cola @ X2 )
| ~ ( a3 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f265]) ).
thf(f268,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f231]) ).
thf(f269,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f268]) ).
thf(f270,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f269]) ).
thf(f271,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ pepsi @ X2 )
| ~ ( a2 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f270]) ).
thf(f273,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f238]) ).
thf(f274,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f273]) ).
thf(f369,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y1 @ pepsi @ Y2 )
| ( likes @ Y1 @ cola @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f240]) ).
thf(f370,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ Y0 @ pepsi @ Y1 )
| ( likes @ Y0 @ cola @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f369]) ).
thf(f378,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ Y0 @ pepsi @ Y1 )
| ( likes @ Y0 @ cola @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f370]) ).
thf(f379,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ pepsi @ Y0 )
| ( likes @ X2 @ cola @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f378]) ).
thf(f383,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( likes @ X2 @ pepsi @ Y0 )
| ( likes @ X2 @ cola @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f379]) ).
thf(f384,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ~ ( likes @ X2 @ pepsi @ X3 )
| ( likes @ X2 @ cola @ X3 )
| ~ ( a2 @ X1 @ X3 ) )
= $true ),
inference(beta-eta_normalization,[],[f383]) ).
thf(f447,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f237]) ).
thf(f448,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f447]) ).
thf(f449,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f448]) ).
thf(f450,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) )
| ( very_much_likes @ X2 @ Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f449]) ).
thf(f451,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) )
| ( very_much_likes @ X2 @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f450]) ).
thf(f452,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
| ( very_much_likes @ X2 @ X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f451]) ).
thf(f454,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ jan @ cola @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) )
| $false )
= $true ),
inference(superposition,[],[f452,f250]) ).
thf(f455,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ jan @ cola @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f454]) ).
thf(f456,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ jan @ cola @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f455]) ).
thf(f459,plain,
( $false
= ( ^ [Y0: $i] :
( ( very_much_likes @ jan @ cola @ Y0 )
| ~ ( a3 @ sK0 @ Y0 ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f456]) ).
thf(f460,plain,
( $false
= ( ( very_much_likes @ jan @ cola @ sK3 )
| ~ ( a3 @ sK0 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f459]) ).
thf(f463,plain,
( $false
= ( ~ ( a3 @ sK0 @ sK3 ) ) ),
inference(or_proxy_clausification,[],[f460]) ).
thf(f464,plain,
( $false
= ( very_much_likes @ jan @ cola @ sK3 ) ),
inference(or_proxy_clausification,[],[f460]) ).
thf(f469,plain,
( ( ( likes @ jan @ cola @ sK3 )
| $false )
= $true ),
inference(superposition,[],[f266,f463]) ).
thf(f470,plain,
( ( likes @ jan @ cola @ sK3 )
= $true ),
inference(boolean_simplification,[],[f469]) ).
thf(f588,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f589,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f588]) ).
thf(f595,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f589]) ).
thf(f596,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f595]) ).
thf(f605,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f596]) ).
thf(f606,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f605]) ).
thf(f611,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f606]) ).
thf(f612,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ( a3 @ X1 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f611]) ).
thf(f634,plain,
! [X0: mu,X1: mu] :
( ( ~ ( likes @ X0 @ X1 @ sK3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) )
| ( very_much_likes @ X0 @ X1 @ sK3 )
| $false )
= $true ),
inference(superposition,[],[f612,f463]) ).
thf(f652,plain,
! [X0: mu,X1: mu] :
( ( ~ ( likes @ X0 @ X1 @ sK3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X0 @ X1 @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) )
| ( very_much_likes @ X0 @ X1 @ sK3 ) )
= $true ),
inference(boolean_simplification,[],[f634]) ).
thf(f843,plain,
( $true
= ( ~ ( likes @ jan @ cola @ sK3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) )
| $false ) ),
inference(superposition,[],[f652,f464]) ).
thf(f845,plain,
( $true
= ( ~ ( likes @ jan @ cola @ sK3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f843]) ).
thf(f848,plain,
( $true
= ( ~ $true
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ) ),
inference(forward_demodulation,[],[f845,f470]) ).
thf(f849,plain,
( $true
= ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f848]) ).
thf(f850,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f849]) ).
thf(f854,plain,
( ( ~ $true
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) )
= $true ),
inference(forward_demodulation,[],[f850,f274]) ).
thf(f855,plain,
( ( $false
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) )
= $true ),
inference(boolean_simplification,[],[f854]) ).
thf(f856,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f855]) ).
thf(f883,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f856]) ).
thf(f885,plain,
( $false
= ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a2 @ sK3 @ Y0 ) )
@ sK8 ) ),
inference(sigma_proxy_clausification,[],[f883]) ).
thf(f886,plain,
( $false
= ( ( likes @ jan @ cola @ sK8 )
| ~ ( a2 @ sK3 @ sK8 ) ) ),
inference(beta-eta_normalization,[],[f885]) ).
thf(f888,plain,
( $false
= ( ~ ( a2 @ sK3 @ sK8 ) ) ),
inference(or_proxy_clausification,[],[f886]) ).
thf(f889,plain,
( $false
= ( likes @ jan @ cola @ sK8 ) ),
inference(or_proxy_clausification,[],[f886]) ).
thf(f895,plain,
( ( ( likes @ jan @ pepsi @ sK8 )
| $false )
= $true ),
inference(superposition,[],[f271,f888]) ).
thf(f897,plain,
( $true
= ( likes @ jan @ pepsi @ sK8 ) ),
inference(boolean_simplification,[],[f895]) ).
thf(f927,plain,
! [X0: $i] :
( $true
= ( ~ ( likes @ jan @ pepsi @ sK8 )
| $false
| ~ ( a2 @ X0 @ sK8 ) ) ),
inference(superposition,[],[f384,f889]) ).
thf(f934,plain,
! [X0: $i] :
( $true
= ( ~ ( likes @ jan @ pepsi @ sK8 )
| ~ ( a2 @ X0 @ sK8 ) ) ),
inference(boolean_simplification,[],[f927]) ).
thf(f944,plain,
! [X0: $i] :
( $true
= ( ~ $true
| ~ ( a2 @ X0 @ sK8 ) ) ),
inference(forward_demodulation,[],[f934,f897]) ).
thf(f945,plain,
! [X0: $i] :
( ( $false
| ~ ( a2 @ X0 @ sK8 ) )
= $true ),
inference(boolean_simplification,[],[f944]) ).
thf(f946,plain,
! [X0: $i] :
( $true
= ( ~ ( a2 @ X0 @ sK8 ) ) ),
inference(boolean_simplification,[],[f945]) ).
thf(f1026,plain,
$false = $true,
inference(superposition,[],[f946,f888]) ).
thf(f1034,plain,
$false,
inference(trivial_inequality_removal,[],[f1026]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT034^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:30:39 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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
% 0.21/0.36 % (1120556)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (1120563)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3457255806:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (1120563)Instruction limit reached!
% 0.21/0.36 % (1120563)------------------------------
% 0.21/0.36 % (1120563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1120563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1120563)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1120563)Termination reason: Instruction limit
% 0.21/0.36 % (1120563)Termination phase: Property scanning
% 0.21/0.36 % (1120563)Time elapsed: 0.001 s
% 0.21/0.36 % (1120563)Peak memory usage: 10 MB
% 0.21/0.36 % (1120563)Instructions burned: 5 (million)
% 0.21/0.36 % (1120562)lrs+10_16_si=on:nwc=1.5:random_seed=1751466851:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (1120561)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1561697455:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (1120565)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2471573492:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (1120564)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=188664001: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)
% 0.21/0.36 % (1120569)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=105507499:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (1120566)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4160293473:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (1120567)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (1120567)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
% 0.21/0.36 % (1120562)Instruction limit reached!
% 0.21/0.36 % (1120562)------------------------------
% 0.21/0.36 % (1120562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1120562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1120562)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1120562)Termination reason: Instruction limit
% 0.21/0.36 % (1120562)Termination phase: Saturation
% 0.21/0.36 % (1120562)Time elapsed: 0.009 s
% 0.21/0.36 % (1120562)Peak memory usage: 11 MB
% 0.21/0.36 % (1120562)Instructions burned: 19 (million)
% 0.21/0.36 % (1120569)Instruction limit reached!
% 0.21/0.36 % (1120569)------------------------------
% 0.21/0.36 % (1120569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1120569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (1120569)CaDiCaL version: 2.1.3
% 0.21/0.36 % (1120569)Termination reason: Instruction limit
% 0.21/0.36 % (1120569)Termination phase: Property scanning
% 0.21/0.36 % (1120569)Time elapsed: 0.003 s
% 0.21/0.36 % (1120569)Peak memory usage: 10 MB
% 0.21/0.36 % (1120569)Instructions burned: 14 (million)
% 0.21/0.36 % (1120567)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=636392956:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (1120577)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.36 % (1120577)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2276552759:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.36 % (1120565)Instruction limit reached!
% 0.21/0.36 % (1120565)------------------------------
% 0.21/0.36 % (1120565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (1120565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120565)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120565)Termination reason: Instruction limit
% 0.89/0.39 % (1120565)Termination phase: Saturation
% 0.89/0.39 % (1120565)Time elapsed: 0.020 s
% 0.89/0.39 % (1120565)Peak memory usage: 11 MB
% 0.89/0.39 % (1120565)Instructions burned: 25 (million)
% 0.89/0.39 % (1120577)Instruction limit reached!
% 0.89/0.39 % (1120577)------------------------------
% 0.89/0.39 % (1120577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120577)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120577)Termination reason: Instruction limit
% 0.89/0.39 % (1120577)Termination phase: Function definition elimination
% 0.89/0.39 % (1120577)Time elapsed: 0.002 s
% 0.89/0.39 % (1120577)Peak memory usage: 10 MB
% 0.89/0.39 % (1120577)Instructions burned: 10 (million)
% 0.89/0.39 % (1120581)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
% 0.89/0.39 % (1120581)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.89/0.39 % (1120576)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1770182078:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.89/0.39 % (1120581)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3328576742:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.89/0.39 % (1120576)Instruction limit reached!
% 0.89/0.39 % (1120576)------------------------------
% 0.89/0.39 % (1120576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120576)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120576)Termination reason: Instruction limit
% 0.89/0.39 % (1120576)Termination phase: Property scanning
% 0.89/0.39 % (1120576)Time elapsed: 0.005 s
% 0.89/0.39 % (1120576)Peak memory usage: 10 MB
% 0.89/0.39 % (1120576)Instructions burned: 6 (million)
% 0.89/0.39 % (1120581)Instruction limit reached!
% 0.89/0.39 % (1120581)------------------------------
% 0.89/0.39 % (1120581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120581)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120581)Termination reason: Instruction limit
% 0.89/0.39 % (1120581)Termination phase: Saturation
% 0.89/0.39 % (1120581)Time elapsed: 0.007 s
% 0.89/0.39 % (1120581)Peak memory usage: 11 MB
% 0.89/0.39 % (1120581)Instructions burned: 32 (million)
% 0.89/0.39 % (1120580)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=394274010:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.89/0.39 % (1120561)Instruction limit reached!
% 0.89/0.39 % (1120561)------------------------------
% 0.89/0.39 % (1120561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120561)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120561)Termination reason: Instruction limit
% 0.89/0.39 % (1120561)Termination phase: Saturation
% 0.89/0.39 % (1120561)Time elapsed: 0.042 s
% 0.89/0.39 % (1120561)Peak memory usage: 12 MB
% 0.89/0.39 % (1120561)Instructions burned: 87 (million)
% 0.89/0.39 % (1120566)Instruction limit reached!
% 0.89/0.39 % (1120566)------------------------------
% 0.89/0.39 % (1120566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120566)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120566)Termination reason: Instruction limit
% 0.89/0.39 % (1120566)Termination phase: Saturation
% 0.89/0.39 % (1120566)Time elapsed: 0.037 s
% 0.89/0.39 % (1120566)Peak memory usage: 13 MB
% 0.89/0.39 % (1120566)Instructions burned: 77 (million)
% 0.89/0.39 % (1120580)Instruction limit reached!
% 0.89/0.39 % (1120580)------------------------------
% 0.89/0.39 % (1120580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.39 % (1120580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.39 % (1120580)CaDiCaL version: 2.1.3
% 0.89/0.39 % (1120580)Termination reason: Instruction limit
% 0.89/0.42 % (1120580)Termination phase: Property scanning
% 0.89/0.42 % (1120580)Time elapsed: 0.006 s
% 0.89/0.42 % (1120580)Peak memory usage: 10 MB
% 0.89/0.42 % (1120580)Instructions burned: 14 (million)
% 0.89/0.42 % (1120586)lrs+10_1_si=on:cs=on:random_seed=2440893824:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.89/0.42 % (1120586)Instruction limit reached!
% 0.89/0.42 % (1120586)------------------------------
% 0.89/0.42 % (1120586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.42 % (1120586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.42 % (1120586)CaDiCaL version: 2.1.3
% 0.89/0.42 % (1120586)Termination reason: Instruction limit
% 0.89/0.42 % (1120586)Termination phase: Property scanning
% 0.89/0.42 % (1120586)Time elapsed: 0.002 s
% 0.89/0.42 % (1120586)Peak memory usage: 10 MB
% 0.89/0.42 % (1120586)Instructions burned: 11 (million)
% 0.89/0.42 % (1120587)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.89/0.42 % (1120587)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=3091820:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.89/0.42 % (1120587)Instruction limit reached!
% 0.89/0.42 % (1120587)------------------------------
% 0.89/0.42 % (1120587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.42 % (1120587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.42 % (1120587)CaDiCaL version: 2.1.3
% 0.89/0.42 % (1120587)Termination reason: Instruction limit
% 0.89/0.42 % (1120587)Termination phase: Property scanning
% 0.89/0.42 % (1120587)Time elapsed: 0.002 s
% 0.89/0.42 % (1120587)Peak memory usage: 9 MB
% 0.89/0.42 % (1120587)Instructions burned: 3 (million)
% 0.89/0.42 % (1120588)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1924075375:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.89/0.42 % (1120591)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1059493826:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.89/0.42 % (1120584)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=1548055624:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.89/0.42 % (1120589)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2046147432:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.89/0.42 % (1120588)Refutation not found, incomplete strategy
% 0.89/0.42 % (1120588)------------------------------
% 0.89/0.42 % (1120588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.42 % (1120588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.42 % (1120588)CaDiCaL version: 2.1.3
% 0.89/0.42 % (1120588)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.42 % (1120588)Time elapsed: 0.008 s
% 0.89/0.42 % (1120588)Peak memory usage: 12 MB
% 0.89/0.42 % (1120588)Instructions burned: 15 (million)
% 0.89/0.42 % (1120591)Instruction limit reached!
% 0.89/0.42 % (1120591)------------------------------
% 0.89/0.42 % (1120591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.42 % (1120591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.42 % (1120591)CaDiCaL version: 2.1.3
% 0.89/0.42 % (1120591)Termination reason: Instruction limit
% 0.89/0.42 % (1120591)Termination phase: Saturation
% 0.89/0.42 % (1120591)Time elapsed: 0.007 s
% 0.89/0.42 % (1120591)Peak memory usage: 12 MB
% 0.89/0.42 % (1120591)Instructions burned: 26 (million)
% 0.89/0.42 % (1120588)------------------------------
% 0.89/0.42 % (1120588)------------------------------
% 0.89/0.42 % (1120589)Refutation not found, incomplete strategy
% 0.89/0.42 % (1120589)------------------------------
% 0.89/0.42 % (1120589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.42 % (1120589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.42 % (1120589)CaDiCaL version: 2.1.3
% 0.89/0.42 % (1120589)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.42 % (1120589)Time elapsed: 0.012 s
% 0.89/0.42 % (1120589)Peak memory usage: 12 MB
% 0.89/0.42 % (1120589)Instructions burned: 13 (million)
% 0.89/0.45 % (1120594)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1155679598:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.45 % (1120589)------------------------------
% 0.89/0.45 % (1120589)------------------------------
% 0.89/0.45 % (1120598)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1084137448:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.89/0.45 % (1120594)Instruction limit reached!
% 0.89/0.45 % (1120594)------------------------------
% 0.89/0.45 % (1120594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (1120594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (1120594)CaDiCaL version: 2.1.3
% 0.89/0.45 % (1120594)Termination reason: Instruction limit
% 0.89/0.45 % (1120594)Termination phase: Property scanning
% 0.89/0.45 % (1120594)Time elapsed: 0.006 s
% 0.89/0.45 % (1120594)Peak memory usage: 10 MB
% 0.89/0.45 % (1120594)Instructions burned: 14 (million)
% 0.89/0.45 % (1120598)Refutation not found, incomplete strategy
% 0.89/0.45 % (1120598)------------------------------
% 0.89/0.45 % (1120598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (1120598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (1120598)CaDiCaL version: 2.1.3
% 0.89/0.45 % (1120598)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.45 % (1120598)Time elapsed: 0.012 s
% 0.89/0.45 % (1120598)Peak memory usage: 12 MB
% 0.89/0.45 % (1120598)Instructions burned: 32 (million)
% 0.89/0.45 % (1120598)------------------------------
% 0.89/0.45 % (1120598)------------------------------
% 0.89/0.45 % (1120567)Instruction limit reached!
% 0.89/0.45 % (1120567)------------------------------
% 0.89/0.45 % (1120567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (1120567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (1120567)CaDiCaL version: 2.1.3
% 0.89/0.45 % (1120567)Termination reason: Instruction limit
% 0.89/0.45 % (1120567)Termination phase: Saturation
% 0.89/0.45 % (1120567)Time elapsed: 0.089 s
% 0.89/0.45 % (1120567)Peak memory usage: 12 MB
% 0.89/0.45 % (1120567)Instructions burned: 158 (million)
% 0.89/0.45 % (1120599)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=790414784:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.45 % (1120602)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1600111298: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)
% 0.89/0.45 % (1120602)Instruction limit reached!
% 0.89/0.45 % (1120602)------------------------------
% 0.89/0.45 % (1120602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (1120602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (1120602)CaDiCaL version: 2.1.3
% 0.89/0.45 % (1120602)Termination reason: Instruction limit
% 0.89/0.45 % (1120602)Termination phase: Property scanning
% 0.89/0.45 % (1120602)Time elapsed: 0.001 s
% 0.89/0.45 % (1120602)Peak memory usage: 9 MB
% 0.89/0.45 % (1120602)Instructions burned: 4 (million)
% 0.89/0.45 % (1120603)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3112793363:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.89/0.45 % (1120604)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3215636906:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.89/0.45 % (1120599)Instruction limit reached!
% 0.89/0.45 % (1120599)------------------------------
% 0.89/0.45 % (1120599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (1120599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (1120599)CaDiCaL version: 2.1.3
% 0.89/0.45 % (1120599)Termination reason: Instruction limit
% 0.89/0.45 % (1120599)Termination phase: Property scanning
% 0.89/0.45 % (1120599)Time elapsed: 0.010 s
% 0.89/0.45 % (1120599)Peak memory usage: 10 MB
% 0.89/0.45 % (1120599)Instructions burned: 15 (million)
% 0.89/0.45 % (1120603)Instruction limit reached!
% 0.89/0.45 % (1120603)------------------------------
% 0.89/0.45 % (1120603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.49 % (1120603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.49 % (1120603)CaDiCaL version: 2.1.3
% 0.89/0.49 % (1120603)Termination reason: Instruction limit
% 0.89/0.49 % (1120603)Termination phase: Saturation
% 0.89/0.49 % (1120603)Time elapsed: 0.006 s
% 0.89/0.49 % (1120603)Peak memory usage: 11 MB
% 0.89/0.49 % (1120603)Instructions burned: 27 (million)
% 0.89/0.49 % (1120605)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=841956532:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.89/0.49 % (1120611)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.89/0.49 % (1120604)Instruction limit reached!
% 0.89/0.49 % (1120604)------------------------------
% 0.89/0.49 % (1120604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.49 % (1120604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.49 % (1120604)CaDiCaL version: 2.1.3
% 0.89/0.49 % (1120604)Termination reason: Instruction limit
% 0.89/0.49 % (1120604)Termination phase: Saturation
% 0.89/0.49 % (1120604)Time elapsed: 0.011 s
% 0.89/0.49 % (1120604)Peak memory usage: 11 MB
% 0.89/0.49 % (1120604)Instructions burned: 24 (million)
% 0.89/0.49 % (1120611)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=2694366447:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.89/0.49 % (1120611)Instruction limit reached!
% 0.89/0.49 % (1120611)------------------------------
% 0.89/0.49 % (1120611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.49 % (1120611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.49 % (1120611)CaDiCaL version: 2.1.3
% 0.89/0.49 % (1120611)Termination reason: Instruction limit
% 0.89/0.49 % (1120611)Termination phase: Property scanning
% 0.89/0.49 % (1120611)Time elapsed: 0.002 s
% 0.89/0.49 % (1120611)Peak memory usage: 10 MB
% 0.89/0.49 % (1120611)Instructions burned: 8 (million)
% 0.89/0.49 % (1120610)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
% 0.89/0.49 % (1120610)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.89/0.49 % (1120612)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=1284260021:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.89/0.49 % (1120610)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=1962497646:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.49 % (1120610)Instruction limit reached!
% 0.89/0.49 % (1120610)------------------------------
% 0.89/0.49 % (1120610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.49 % (1120610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.49 % (1120610)CaDiCaL version: 2.1.3
% 0.89/0.49 % (1120610)Termination reason: Instruction limit
% 0.89/0.49 % (1120610)Termination phase: Saturation
% 0.89/0.49 % (1120610)Time elapsed: 0.004 s
% 0.89/0.49 % (1120610)Peak memory usage: 11 MB
% 0.89/0.49 % (1120610)Instructions burned: 18 (million)
% 0.89/0.49 % (1120584)Instruction limit reached!
% 0.89/0.49 % (1120584)------------------------------
% 0.89/0.49 % (1120584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.49 % (1120584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.49 % (1120584)CaDiCaL version: 2.1.3
% 0.89/0.49 % (1120584)Termination reason: Instruction limit
% 0.89/0.49 % (1120584)Termination phase: Saturation
% 0.89/0.49 % (1120584)Time elapsed: 0.074 s
% 0.89/0.49 % (1120584)Peak memory usage: 12 MB
% 0.89/0.49 % (1120584)Instructions burned: 86 (million)
% 0.89/0.49 % (1120614)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2097219748:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.89/0.49 % (1120616)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1385223278:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.64/0.57 % (1120619)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3948991863:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.64/0.57 % (1120612)Instruction limit reached!
% 1.64/0.57 % (1120612)------------------------------
% 1.64/0.57 % (1120612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120605)Instruction limit reached!
% 1.64/0.57 % (1120605)------------------------------
% 1.64/0.57 % (1120605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120605)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120605)Termination reason: Instruction limit
% 1.64/0.57 % (1120605)Termination phase: Saturation
% 1.64/0.57 % (1120605)Time elapsed: 0.033 s
% 1.64/0.57 % (1120605)Peak memory usage: 12 MB
% 1.64/0.57 % (1120605)Instructions burned: 61 (million)
% 1.64/0.57 % (1120612)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120612)Termination reason: Instruction limit
% 1.64/0.57 % (1120612)Termination phase: Saturation
% 1.64/0.57 % (1120612)Time elapsed: 0.016 s
% 1.64/0.57 % (1120612)Peak memory usage: 12 MB
% 1.64/0.57 % (1120612)Instructions burned: 31 (million)
% 1.64/0.57 % (1120614)Instruction limit reached!
% 1.64/0.57 % (1120614)------------------------------
% 1.64/0.57 % (1120614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120614)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120614)Termination reason: Instruction limit
% 1.64/0.57 % (1120614)Termination phase: Property scanning
% 1.64/0.57 % (1120614)Time elapsed: 0.010 s
% 1.64/0.57 % (1120614)Peak memory usage: 10 MB
% 1.64/0.57 % (1120614)Instructions burned: 9 (million)
% 1.64/0.57 % (1120619)Instruction limit reached!
% 1.64/0.57 % (1120619)------------------------------
% 1.64/0.57 % (1120619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120619)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120619)Termination reason: Instruction limit
% 1.64/0.57 % (1120619)Termination phase: Saturation
% 1.64/0.57 % (1120619)Time elapsed: 0.006 s
% 1.64/0.57 % (1120619)Peak memory usage: 12 MB
% 1.64/0.57 % (1120619)Instructions burned: 23 (million)
% 1.64/0.57 % (1120616)Instruction limit reached!
% 1.64/0.57 % (1120616)------------------------------
% 1.64/0.57 % (1120616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120616)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120616)Termination reason: Instruction limit
% 1.64/0.57 % (1120616)Termination phase: Saturation
% 1.64/0.57 % (1120616)Time elapsed: 0.013 s
% 1.64/0.57 % (1120616)Peak memory usage: 11 MB
% 1.64/0.57 % (1120616)Instructions burned: 24 (million)
% 1.64/0.57 % (1120627)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.64/0.57 % (1120620)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3189510504:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.64/0.57 % (1120627)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3947067316:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.64/0.57 % (1120627)Instruction limit reached!
% 1.64/0.57 % (1120627)------------------------------
% 1.64/0.57 % (1120627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1120627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1120627)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1120627)Termination reason: Instruction limit
% 1.64/0.57 % (1120627)Termination phase: Saturation
% 1.64/0.57 % (1120627)Time elapsed: 0.003 s
% 1.64/0.57 % (1120627)Peak memory usage: 10 MB
% 1.64/0.57 % (1120627)Instructions burned: 15 (million)
% 1.64/0.57 % (1120625)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=995584348:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.64/0.57 % (1120626)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=608534018:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.11/0.62 % (1120628)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=351083197:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.11/0.62 % (1120624)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4076051587:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.11/0.62 % (1120631)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=3652814316: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)
% 2.11/0.62 % (1120625)Refutation not found, incomplete strategy
% 2.11/0.62 % (1120625)------------------------------
% 2.11/0.62 % (1120625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120625)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120625)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (1120625)Time elapsed: 0.010 s
% 2.11/0.62 % (1120625)Peak memory usage: 12 MB
% 2.11/0.62 % (1120625)Instructions burned: 20 (million)
% 2.11/0.62 % (1120625)------------------------------
% 2.11/0.62 % (1120625)------------------------------
% 2.11/0.62 % (1120631)Refutation not found, incomplete strategy
% 2.11/0.62 % (1120631)------------------------------
% 2.11/0.62 % (1120631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120631)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120631)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (1120631)Time elapsed: 0.005 s
% 2.11/0.62 % (1120631)Peak memory usage: 12 MB
% 2.11/0.62 % (1120631)Instructions burned: 20 (million)
% 2.11/0.62 % (1120631)------------------------------
% 2.11/0.62 % (1120631)------------------------------
% 2.11/0.62 % (1120626)Instruction limit reached!
% 2.11/0.62 % (1120626)------------------------------
% 2.11/0.62 % (1120626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120626)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120626)Termination reason: Instruction limit
% 2.11/0.62 % (1120626)Termination phase: Saturation
% 2.11/0.62 % (1120626)Time elapsed: 0.021 s
% 2.11/0.62 % (1120626)Peak memory usage: 12 MB
% 2.11/0.62 % (1120626)Instructions burned: 44 (million)
% 2.11/0.62 % (1120628)Refutation not found, incomplete strategy
% 2.11/0.62 % (1120628)------------------------------
% 2.11/0.62 % (1120628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120628)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120628)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (1120628)Time elapsed: 0.015 s
% 2.11/0.62 % (1120628)Peak memory usage: 12 MB
% 2.11/0.62 % (1120628)Instructions burned: 17 (million)
% 2.11/0.62 % (1120628)------------------------------
% 2.11/0.62 % (1120628)------------------------------
% 2.11/0.62 % (1120638)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1733859998:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.11/0.62 % (1120637)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.11/0.62 % (1120637)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2468878028:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.11/0.62 % (1120637)Instruction limit reached!
% 2.11/0.62 % (1120637)------------------------------
% 2.11/0.62 % (1120637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120637)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120637)Termination reason: Instruction limit
% 2.11/0.62 % (1120637)Termination phase: SInE selection
% 2.11/0.62 % (1120637)Time elapsed: 0.003 s
% 2.11/0.62 % (1120637)Peak memory usage: 10 MB
% 2.11/0.62 % (1120637)Instructions burned: 7 (million)
% 2.11/0.62 % (1120638)Instruction limit reached!
% 2.11/0.62 % (1120638)------------------------------
% 2.11/0.62 % (1120638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120638)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120638)Termination reason: Instruction limit
% 2.11/0.62 % (1120638)Termination phase: Saturation
% 2.11/0.62 % (1120638)Time elapsed: 0.009 s
% 2.11/0.62 % (1120638)Peak memory usage: 12 MB
% 2.11/0.62 % (1120638)Instructions burned: 23 (million)
% 2.11/0.62 % (1120639)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1281099127:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.11/0.62 % (1120641)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=716671551:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.11/0.62 % (1120644)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=4191818547: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)
% 2.11/0.62 % (1120639)Instruction limit reached!
% 2.11/0.62 % (1120639)------------------------------
% 2.11/0.62 % (1120639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120639)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120639)Termination reason: Instruction limit
% 2.11/0.62 % (1120639)Termination phase: Saturation
% 2.11/0.62 % (1120639)Time elapsed: 0.013 s
% 2.11/0.62 % (1120639)Peak memory usage: 11 MB
% 2.11/0.62 % (1120639)Instructions burned: 20 (million)
% 2.11/0.62 % (1120643)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=1065670059: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)
% 2.11/0.62 % (1120644)Instruction limit reached!
% 2.11/0.62 % (1120644)------------------------------
% 2.11/0.62 % (1120644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120644)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120644)Termination reason: Instruction limit
% 2.11/0.62 % (1120644)Termination phase: Saturation
% 2.11/0.62 % (1120644)Time elapsed: 0.022 s
% 2.11/0.62 % (1120644)Peak memory usage: 12 MB
% 2.11/0.62 % (1120644)Instructions burned: 46 (million)
% 2.11/0.62 % (1120648)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3181948310:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.11/0.62 % (1120648)Refutation not found, incomplete strategy
% 2.11/0.62 % (1120648)------------------------------
% 2.11/0.62 % (1120648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120648)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120648)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (1120648)Time elapsed: 0.007 s
% 2.11/0.62 % (1120648)Peak memory usage: 12 MB
% 2.11/0.62 % (1120648)Instructions burned: 14 (million)
% 2.11/0.62 % (1120648)------------------------------
% 2.11/0.62 % (1120648)------------------------------
% 2.11/0.62 % (1120651)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1577913954: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)
% 2.11/0.62 % (1120651)Instruction limit reached!
% 2.11/0.62 % (1120651)------------------------------
% 2.11/0.62 % (1120651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120651)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120651)Termination reason: Instruction limit
% 2.11/0.62 % (1120651)Termination phase: Saturation
% 2.11/0.62 % (1120651)Time elapsed: 0.009 s
% 2.11/0.62 % (1120651)Peak memory usage: 11 MB
% 2.11/0.62 % (1120651)Instructions burned: 21 (million)
% 2.11/0.62 % (1120653)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.11/0.62 % (1120655)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3225500755:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.11/0.62 % (1120653)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1297020337:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.11/0.62 % (1120655)Instruction limit reached!
% 2.11/0.62 % (1120655)------------------------------
% 2.11/0.62 % (1120655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120655)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120655)Termination reason: Instruction limit
% 2.11/0.62 % (1120655)Termination phase: Saturation
% 2.11/0.62 % (1120655)Time elapsed: 0.006 s
% 2.11/0.62 % (1120655)Peak memory usage: 11 MB
% 2.11/0.62 % (1120655)Instructions burned: 13 (million)
% 2.11/0.62 % (1120624)Instruction limit reached!
% 2.11/0.62 % (1120624)------------------------------
% 2.11/0.62 % (1120624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120624)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120624)Termination reason: Instruction limit
% 2.11/0.62 % (1120624)Termination phase: Saturation
% 2.11/0.62 % (1120624)Time elapsed: 0.125 s
% 2.11/0.62 % (1120624)Peak memory usage: 13 MB
% 2.11/0.62 % (1120624)Instructions burned: 143 (million)
% 2.11/0.62 % (1120659)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=4039328856:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.11/0.62 % (1120660)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3514274950:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.11/0.62 % (1120641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1120556-1120641"...
% 2.11/0.62 % (1120641)...printing done.
% 2.11/0.62 % (1120641)Refutation found. Thanks to Tanya!
% 2.11/0.62 % SZS status Theorem for theBenchmark
% 2.11/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.62 % (1120641)------------------------------
% 2.11/0.62 % (1120641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1120641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1120641)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1120641)Termination reason: Refutation
% 2.11/0.62 % (1120641)Time elapsed: 0.113 s
% 2.11/0.62 % (1120641)Peak memory usage: 14 MB
% 2.11/0.62 % (1120641)Instructions burned: 142 (million)
% 2.11/0.62 % (1120556)Success in time 0.388 s
% 2.11/0.62 % Vampire exiting
%------------------------------------------------------------------------------