%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT032^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:37 AM UTC 2026
% Result : Theorem 1.48s 0.51s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 18
% Syntax : Number of formulae : 227 ( 124 unt; 0 typ; 1 def)
% Number of atoms : 2209 ( 546 equ; 0 cnn)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 3760 ( 358 ~; 541 |; 0 &;2711 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 187 ( 187 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 63 usr; 10 con; 0-4 aty)
% ( 149 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 871 ( 0 sgn 437 !; 0 ?; 871 :)
% 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_45,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
vIMP: $o > $o > $o ).
thf(func_def_47,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_52,type,
vOR: $o > $o > $o ).
thf(func_def_53,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
vNOT: $o > $o ).
thf(func_def_55,type,
vAND: $o > $o > $o ).
thf(func_def_56,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
sK0: $i > $i ).
thf(func_def_59,type,
sK1: mu > $i > mu > $i ).
thf(func_def_60,type,
sK2: mu > $i > mu > $i ).
thf(func_def_62,type,
sK4: mu > $i > mu > $i ).
thf(func_def_63,type,
sK5: $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f5,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f12,axiom,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(f39,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(f41,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(f42,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(f50,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( likes @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( likes @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
thf(f58,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f59,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f58]) ).
thf(f62,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(f63,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f62]) ).
thf(f65,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f66,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f65]) ).
thf(f69,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f70,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f69]) ).
thf(f71,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f76,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f77,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f78,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f79,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f80,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f79]) ).
thf(f90,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f91,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f90]) ).
thf(f94,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f12]) ).
thf(f95,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f94]) ).
thf(f100,plain,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
inference(rectify,[],[f42]) ).
thf(f101,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f100]) ).
thf(f106,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f109,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(f110,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,[],[f109]) ).
thf(f117,plain,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f41]) ).
thf(f118,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f117]) ).
thf(f124,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f125,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f130,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f131,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f130]) ).
thf(f135,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( likes @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f51]) ).
thf(f136,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f135]) ).
thf(f141,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(flattening,[],[f136]) ).
thf(f142,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f63]) ).
thf(f144,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f101]) ).
thf(f145,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f146,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f131]) ).
thf(f148,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f66]) ).
thf(f150,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,[],[f110]) ).
thf(f151,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f70]) ).
thf(f153,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f118]) ).
thf(f154,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f76]) ).
thf(f159,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f141]) ).
thf(f161,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f162,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f163,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f166,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f168,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f95]) ).
thf(f169,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f91]) ).
thf(f170,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f106]) ).
thf(f173,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,[],[f162,f166,f151,f166,f166]) ).
thf(f174,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,[],[f170,f151,f166]) ).
thf(f176,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f168,f166,f161,f166]) ).
thf(f177,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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f154,f166,f169,f166]) ).
thf(f178,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] :
( ( 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] :
( ( Y5 @ Y7 )
| ~ ( Y4 @ Y6 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a3
@ ( very_much_likes @ Y0 @ Y1 ) )
@ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f142,f163,f161,f161,f174,f177]) ).
thf(f180,plain,
( ( ^ [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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a3
@ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(definition_unfolding,[],[f144,f163,f177]) ).
thf(f181,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,[],[f145,f163,f169]) ).
thf(f182,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a1
@ ( likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f146,f163,f169]) ).
thf(f184,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( Y1 @ Y3 @ Y4 ) ) )
@ a2
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( likes @ Y0 @ pepsi )
@ ( likes @ Y0 @ cola ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f148,f163,f161,f169,f174]) ).
thf(f186,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a3
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( likes @ Y0 @ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) ) ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f150,f163,f161,f161,f169,f174,f173,f173,f169,f169]) ).
thf(f188,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,[],[f153,f163,f169]) ).
thf(f192,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f159,f163,f176,f176]) ).
thf(f207,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f186]) ).
thf(f208,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a2 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( likes @ Y1 @ Y2 @ Y4 )
| ~ ( a1 @ Y3 @ Y4 ) ) ) )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a2 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( likes @ Y0 @ Y1 @ Y3 )
| ~ ( a1 @ Y2 @ Y3 ) ) ) )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) )
| ~ ( a3 @ X1 @ Y2 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 ) )
| ~ ( a3 @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f212,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a2 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ X2 @ Y0 @ Y2 )
| ~ ( a1 @ Y1 @ Y2 ) ) ) )
| ~ ( likes @ X2 @ Y0 @ Y1 ) )
| ~ ( a3 @ X1 @ Y1 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f211]) ).
thf(f213,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 ) )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f214,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ^ [Y0: $i] :
( ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ X2 @ X3 @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) )
| ~ ( likes @ X2 @ X3 @ Y0 ) )
| ~ ( a3 @ X1 @ Y0 ) )
@ X4 )
= $true ),
inference(pi_proxy_clausification,[],[f213]) ).
thf(f215,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) )
| ~ ( a3 @ X1 @ X4 ) )
= $true ),
inference(beta-eta_normalization,[],[f214]) ).
thf(f216,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) ) ) )
| ( ( ~ ( a3 @ X1 @ X4 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( a3 @ X1 @ X4 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) ) )
= $true )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(or_proxy_clausification,[],[f216]) ).
thf(f218,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) ) )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(not_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) ) )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(not_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( a3 @ X1 @ X4 )
= $false )
| ( ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
| ~ ( likes @ X2 @ X3 @ X4 ) )
= $true )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(not_proxy_clausification,[],[f219]) ).
thf(f221,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( ~ ( likes @ X2 @ X3 @ X4 ) )
= $true )
| ( ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f220]) ).
thf(f222,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f221]) ).
thf(f223,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) ) ) )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(not_proxy_clausification,[],[f222]) ).
thf(f224,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) )
= $true )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f223]) ).
thf(f225,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) ) )
= $true )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) ) )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(or_proxy_clausification,[],[f224]) ).
thf(f226,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( a3 @ X1 @ X4 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) ) ) )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f225]) ).
thf(f227,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) )
= $false )
| ( ( likes @ X2 @ X3 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f226]) ).
thf(f228,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) )
@ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) ) )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f227]) ).
thf(f229,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X4 @ Y0 ) )
@ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X4 @ Y0 ) )
@ ( sK2 @ X3 @ X4 @ X2 ) ) )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( likes @ X2 @ X3 @ X4 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f228]) ).
thf(f230,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X4 @ X2 ) )
| ~ ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) ) ) )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) )
| ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false ) ),
inference(beta-eta_normalization,[],[f229]) ).
thf(f231,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( ~ ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) )
| ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f230]) ).
thf(f232,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X4 @ X2 ) ) )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) )
| ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(or_proxy_clausification,[],[f230]) ).
thf(f233,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( a3 @ X1 @ X4 )
= $false )
| ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X4 @ X2 ) ) )
| ( ( ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false ) ),
inference(or_proxy_clausification,[],[f232]) ).
thf(f234,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X4 @ X2 ) ) )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( $false
= ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true ) ),
inference(or_proxy_clausification,[],[f232]) ).
thf(f235,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X4 @ X2 ) ) )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( $true
= ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f233]) ).
thf(f236,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) )
| ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) )
= $true )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f231]) ).
thf(f237,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( ~ ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f236]) ).
thf(f238,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) )
= $true )
| ( ( a3 @ X1 @ X4 )
= $false ) ),
inference(or_proxy_clausification,[],[f236]) ).
thf(f239,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( a2 @ X4 @ ( sK1 @ X3 @ X4 @ X2 ) ) )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a1 @ X4 @ ( sK2 @ X3 @ X4 @ X2 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f237]) ).
thf(f240,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( likes @ Y1 @ Y2 @ Y0 ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f241,plain,
( ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( likes @ Y1 @ Y2 @ Y0 ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f240]) ).
thf(f242,plain,
( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( likes @ Y0 @ Y1 @ sK3 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f241]) ).
thf(f243,plain,
( ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( likes @ Y0 @ Y1 @ sK3 ) ) )
= $true ),
inference(not_proxy_clausification,[],[f242]) ).
thf(f244,plain,
! [X1: mu] :
( ( ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( likes @ Y0 @ Y1 @ sK3 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f245,plain,
! [X1: mu] :
( ( ~ ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( likes @ X1 @ Y0 @ sK3 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f244]) ).
thf(f246,plain,
! [X1: mu] :
( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( likes @ X1 @ Y0 @ sK3 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f245]) ).
thf(f247,plain,
! [X1: mu] :
( ( !! @ mu
@ ^ [Y0: mu] :
~ ( likes @ X1 @ Y0 @ sK3 ) )
= $true ),
inference(not_proxy_clausification,[],[f246]) ).
thf(f248,plain,
! [X2: mu,X1: mu] :
( ( ^ [Y0: mu] :
~ ( likes @ X1 @ Y0 @ sK3 )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f247]) ).
thf(f249,plain,
! [X2: mu,X1: mu] :
( ( ~ ( likes @ X1 @ X2 @ sK3 ) )
= $true ),
inference(beta-eta_normalization,[],[f248]) ).
thf(f250,plain,
! [X2: mu,X1: mu] :
( ( likes @ X1 @ X2 @ sK3 )
= $false ),
inference(not_proxy_clausification,[],[f249]) ).
thf(f265,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f266,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f265]) ).
thf(f267,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f266]) ).
thf(f268,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f267]) ).
thf(f269,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ( likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f268]) ).
thf(f270,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( very_much_likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f269]) ).
thf(f271,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( likes @ X2 @ X3 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f270]) ).
thf(f272,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f271]) ).
thf(f273,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( likes @ X2 @ X3 @ X1 )
= $true )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f272]) ).
thf(f274,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f273]) ).
thf(f275,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( very_much_likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X4 )
= $true )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f274]) ).
thf(f276,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ~ ( very_much_likes @ X2 @ X3 @ X4 )
| ~ ( a3 @ X1 @ X4 ) ) )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f275]) ).
thf(f277,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ~ ( very_much_likes @ X2 @ X3 @ X4 ) ) )
| ( ( ~ ( a3 @ X1 @ X4 ) )
= $true )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(or_proxy_clausification,[],[f276]) ).
thf(f278,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( a3 @ X1 @ X4 ) )
= $true )
| ( ( very_much_likes @ X2 @ X3 @ X4 )
= $false )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f277]) ).
thf(f279,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( very_much_likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f278]) ).
thf(f295,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f188]) ).
thf(f296,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f295]) ).
thf(f297,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f296]) ).
thf(f298,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f297]) ).
thf(f299,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ cola @ X2 )
| ~ ( a3 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f298]) ).
thf(f300,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( a3 @ X1 @ X2 ) )
= $true )
| ( $true
= ( likes @ jan @ cola @ X2 ) ) ),
inference(or_proxy_clausification,[],[f299]) ).
thf(f301,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( ( a3 @ X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f300]) ).
thf(f319,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f181]) ).
thf(f320,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ pepsi @ Y1 )
| ~ ( a2 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f319]) ).
thf(f321,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f320]) ).
thf(f322,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( likes @ jan @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f321]) ).
thf(f323,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ pepsi @ X2 )
| ~ ( a2 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f322]) ).
thf(f324,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( a2 @ X1 @ X2 ) ) )
| ( ( likes @ jan @ pepsi @ X2 )
= $true ) ),
inference(or_proxy_clausification,[],[f323]) ).
thf(f325,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ jan @ pepsi @ X2 )
= $true )
| ( $false
= ( a2 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f324]) ).
thf(f348,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f182]) ).
thf(f349,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f348]) ).
thf(f350,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f349]) ).
thf(f351,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f350]) ).
thf(f352,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( likes @ jan @ cola @ X2 )
| ~ ( a1 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f351]) ).
thf(f353,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( ( ~ ( a1 @ X1 @ X2 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f352]) ).
thf(f354,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $false
= ( a1 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f353]) ).
thf(f390,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ pepsi @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f391,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ pepsi @ Y1 )
| ~ ( a3 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f390]) ).
thf(f392,plain,
! [X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ pepsi @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f391]) ).
thf(f393,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ pepsi @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f392]) ).
thf(f394,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( likes @ piotr @ pepsi @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ ( sK5 @ X1 ) )
= $false ),
inference(sigma_proxy_clausification,[],[f393]) ).
thf(f395,plain,
! [X1: $i] :
( $false
= ( ~ ( likes @ piotr @ pepsi @ ( sK5 @ X1 ) )
| ~ ( a3 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f394]) ).
thf(f396,plain,
! [X1: $i] :
( ( ~ ( a3 @ X1 @ ( sK5 @ X1 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f395]) ).
thf(f399,plain,
! [X1: $i] :
( ( a3 @ X1 @ ( sK5 @ X1 ) )
= $true ),
inference(not_proxy_clausification,[],[f396]) ).
thf(f422,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f184]) ).
thf(f423,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ( likes @ Y1 @ cola @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ~ ( a2 @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f422]) ).
thf(f424,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f423]) ).
thf(f425,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ Y0 @ cola @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f424]) ).
thf(f426,plain,
! [X2: mu,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f425]) ).
thf(f427,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ X2 @ cola @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f426]) ).
thf(f428,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ( likes @ X2 @ cola @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 )
| ~ ( a2 @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f427]) ).
thf(f429,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ( likes @ X2 @ cola @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 ) ) )
| ( ( ~ ( a2 @ X1 @ X3 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f428]) ).
thf(f430,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( likes @ X2 @ cola @ X3 ) )
| ( $true
= ( ~ ( likes @ X2 @ pepsi @ X3 ) ) )
| ( ( ~ ( a2 @ X1 @ X3 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f429]) ).
thf(f431,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( ( likes @ X2 @ pepsi @ X3 )
= $false )
| ( ( ~ ( a2 @ X1 @ X3 ) )
= $true )
| ( $true
= ( likes @ X2 @ cola @ X3 ) ) ),
inference(not_proxy_clausification,[],[f430]) ).
thf(f432,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( likes @ X2 @ cola @ X3 ) )
| ( ( a2 @ X1 @ X3 )
= $false )
| ( ( likes @ X2 @ pepsi @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f431]) ).
thf(f563,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( $false = $true )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $true
= ( a2 @ X0 @ ( sK1 @ cola @ X0 @ jan ) ) ) ),
inference(superposition,[],[f354,f235]) ).
thf(f567,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a2 @ X0 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f563]) ).
thf(f588,plain,
! [X2: $i,X3: $i,X0: mu,X1: $i] :
( ( $false
= ( likes @ X0 @ pepsi @ ( sK1 @ cola @ X1 @ X0 ) ) )
| ( $false = $true )
| ( $false
= ( likes @ X0 @ cola @ X1 ) )
| ( $true
= ( a1 @ X1 @ ( sK2 @ cola @ X1 @ X0 ) ) )
| ( ( very_much_likes @ X0 @ cola @ X1 )
= $true )
| ( ( a3 @ X2 @ X1 )
= $false )
| ( $false
= ( a2 @ X3 @ ( sK1 @ cola @ X1 @ X0 ) ) ) ),
inference(superposition,[],[f238,f432]) ).
thf(f616,plain,
! [X2: $i,X3: $i,X0: mu,X1: $i] :
( ( $false
= ( likes @ X0 @ pepsi @ ( sK1 @ cola @ X1 @ X0 ) ) )
| ( $true
= ( a1 @ X1 @ ( sK2 @ cola @ X1 @ X0 ) ) )
| ( ( a3 @ X2 @ X1 )
= $false )
| ( ( very_much_likes @ X0 @ cola @ X1 )
= $true )
| ( $false
= ( likes @ X0 @ cola @ X1 ) )
| ( $false
= ( a2 @ X3 @ ( sK1 @ cola @ X1 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f647,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( likes @ jan @ cola @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false = $true )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(superposition,[],[f354,f234]) ).
thf(f661,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( likes @ jan @ cola @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f647]) ).
thf(f753,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( likes @ jan @ pepsi @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( $false = $true )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(superposition,[],[f432,f661]) ).
thf(f755,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( likes @ jan @ pepsi @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f753]) ).
thf(f857,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( a2 @ X3 @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false = $true )
| ( $true
= ( a1 @ X0 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(superposition,[],[f325,f616]) ).
thf(f858,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a2 @ X3 @ ( sK1 @ cola @ X0 @ jan ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f857]) ).
thf(f1105,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false = $true )
| ( $false
= ( a2 @ X2 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(superposition,[],[f325,f755]) ).
thf(f1111,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( a2 @ X2 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1105]) ).
thf(f1126,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false != $false )
| ( ( likes @ jan @ cola @ X1 )
= $false )
| ( ( a2 @ X0 @ ( sK1 @ cola @ X1 @ jan ) )
= $false )
| ( ( a3 @ X2 @ X1 )
= $false )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( ( a1 @ X3 @ ( sK2 @ cola @ X1 @ jan ) )
= $false ) ),
inference(equality_factoring,[],[f1111]) ).
thf(f1138,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( a2 @ X0 @ ( sK1 @ cola @ X1 @ jan ) )
= $false )
| ( ( a1 @ X3 @ ( sK2 @ cola @ X1 @ jan ) )
= $false )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( ( a3 @ X2 @ X1 )
= $false )
| ( ( likes @ jan @ cola @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1126]) ).
thf(f1156,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( a3 @ X2 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false = $true )
| ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(superposition,[],[f567,f1138]) ).
thf(f1173,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false = $true )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f1156]) ).
thf(f1174,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( a1 @ X3 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a1 @ X1 @ ( sK2 @ cola @ X0 @ jan ) )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1173]) ).
thf(f1280,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( likes @ jan @ cola @ X1 )
= $false )
| ( $false
= ( a3 @ X3 @ X1 ) )
| ( $false
= ( a1 @ X0 @ ( sK2 @ cola @ X1 @ jan ) ) )
| ( $false != $false )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( ( a3 @ X2 @ X1 )
= $false ) ),
inference(equality_factoring,[],[f1174]) ).
thf(f1285,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( a1 @ X0 @ ( sK2 @ cola @ X1 @ jan ) ) )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( $false
= ( a3 @ X3 @ X1 ) )
| ( ( likes @ jan @ cola @ X1 )
= $false )
| ( ( a3 @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1280]) ).
thf(f1310,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $false = $true )
| ( ( a2 @ X3 @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(superposition,[],[f858,f1285]) ).
thf(f1321,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $false = $true )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( ( a2 @ X3 @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X5 @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f1310]) ).
thf(f1322,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( $false
= ( a2 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a2 @ X3 @ ( sK1 @ cola @ X0 @ jan ) )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1321]) ).
thf(f1348,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false != $false )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( $false
= ( a3 @ X3 @ X1 ) )
| ( ( likes @ jan @ cola @ X1 )
= $false )
| ( ( a3 @ X2 @ X1 )
= $false )
| ( $false
= ( a3 @ X4 @ X1 ) )
| ( ( a2 @ X0 @ ( sK1 @ cola @ X1 @ jan ) )
= $false ) ),
inference(equality_factoring,[],[f1322]) ).
thf(f1366,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( a2 @ X0 @ ( sK1 @ cola @ X1 @ jan ) )
= $false )
| ( $false
= ( a3 @ X3 @ X1 ) )
| ( ( likes @ jan @ cola @ X1 )
= $false )
| ( ( very_much_likes @ jan @ cola @ X1 )
= $true )
| ( $false
= ( a3 @ X4 @ X1 ) )
| ( ( a3 @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1348]) ).
thf(f1377,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $true
= ( a1 @ X0 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false = $true ) ),
inference(superposition,[],[f1366,f239]) ).
thf(f1397,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $true
= ( a1 @ X0 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false = $true )
| ( $false
= ( a3 @ X4 @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f1377]) ).
thf(f1398,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
= ( a1 @ X0 @ ( sK2 @ cola @ X0 @ jan ) ) )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1397]) ).
thf(f1407,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false = $true )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(superposition,[],[f1398,f1285]) ).
thf(f1413,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false = $true )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X1 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f1407]) ).
thf(f1414,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1413]) ).
thf(f1445,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( likes @ jan @ cola @ X7 )
= $true )
| ( $false = $true )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( $false
= ( a3 @ X7 @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(superposition,[],[f1414,f279]) ).
thf(f1450,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( likes @ jan @ cola @ X7 )
= $true )
| ( $false
= ( a3 @ X7 @ X0 ) )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( ( a3 @ X6 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1445]) ).
thf(f1486,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( a3 @ X6 @ X0 )
= $false )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false = $true )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( ( likes @ jan @ cola @ X0 )
= $false )
| ( $false
= ( a3 @ sK3 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( $false
= ( a3 @ X5 @ X0 ) ) ),
inference(superposition,[],[f1450,f250]) ).
thf(f1507,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( likes @ jan @ cola @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( $false
= ( a3 @ sK3 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X5 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1486]) ).
thf(f1531,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false = $true )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X7 @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ sK3 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false ) ),
inference(superposition,[],[f301,f1507]) ).
thf(f1534,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( a3 @ sK3 @ X0 ) )
| ( $false
= ( a3 @ X4 @ X0 ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X5 @ X0 ) )
| ( ( a3 @ X3 @ X0 )
= $false )
| ( $false
= ( a3 @ X7 @ X0 ) )
| ( ( a3 @ X6 @ X0 )
= $false )
| ( ( a3 @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1531]) ).
thf(f1578,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false = $true )
| ( ( a3 @ X3 @ ( sK5 @ sK3 ) )
= $false )
| ( $false
= ( a3 @ X2 @ ( sK5 @ sK3 ) ) )
| ( ( a3 @ X6 @ ( sK5 @ sK3 ) )
= $false )
| ( ( a3 @ X0 @ ( sK5 @ sK3 ) )
= $false )
| ( $false
= ( a3 @ X4 @ ( sK5 @ sK3 ) ) )
| ( $false
= ( a3 @ X5 @ ( sK5 @ sK3 ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ sK3 ) ) ) ),
inference(superposition,[],[f399,f1534]) ).
thf(f1598,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( a3 @ X5 @ ( sK5 @ sK3 ) ) )
| ( ( a3 @ X3 @ ( sK5 @ sK3 ) )
= $false )
| ( $false
= ( a3 @ X4 @ ( sK5 @ sK3 ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ sK3 ) ) )
| ( $false
= ( a3 @ X2 @ ( sK5 @ sK3 ) ) )
| ( ( a3 @ X0 @ ( sK5 @ sK3 ) )
= $false )
| ( ( a3 @ X6 @ ( sK5 @ sK3 ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f1578]) ).
thf(f1600,definition,
( spl6_3
<=> ! [X0: $i] :
( ( a3 @ X0 @ ( sK5 @ sK3 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f1601,plain,
( ! [X0: $i] :
( ( a3 @ X0 @ ( sK5 @ sK3 ) )
= $false )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f1600]) ).
thf(f1603,plain,
( spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3 ),
inference(avatar_split_clause,[],[f1598,f1600,f1600,f1600,f1600,f1600,f1600,f1600]) ).
thf(f1604,plain,
( ( $false = $true )
| ~ spl6_3 ),
inference(superposition,[],[f1601,f399]) ).
thf(f1610,plain,
( $false
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f1604]) ).
thf(f1611,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[],[f1610]) ).
cnf(s5,plain,
( spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3
| spl6_3 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s6,plain,
spl6_3,
inference(rat,[],[s5]) ).
cnf(s8,plain,
~ spl6_3,
inference(sat_conversion,[],[f1611]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s6,s8]) ).
thf(f1612,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT032^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n011.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 17:30:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.37 % (403697)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.37 % (403713)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=856217138:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.37 % (403720)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.37 % (403720)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
% 0.71/0.37 % (403714)lrs+10_16_si=on:nwc=1.5:random_seed=2065621176:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.37 % (403716)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=1210164127: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)
% 0.71/0.37 % (403715)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1479547518:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.37 % (403717)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=876761360:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.37 % (403718)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=385606853:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.37 % (403720)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=3245298087:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.37 % (403715)Instruction limit reached!
% 0.71/0.37 % (403715)------------------------------
% 0.71/0.37 % (403715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.37 % (403715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.37 % (403715)CaDiCaL version: 2.1.3
% 0.71/0.37 % (403715)Termination reason: Instruction limit
% 0.71/0.37 % (403715)Termination phase: Property scanning
% 0.71/0.37 % (403715)Time elapsed: 0.002 s
% 0.71/0.37 % (403715)Peak memory usage: 9 MB
% 0.71/0.37 % (403715)Instructions burned: 4 (million)
% 0.71/0.37 % (403714)Instruction limit reached!
% 0.71/0.37 % (403714)------------------------------
% 0.71/0.37 % (403714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.37 % (403714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.37 % (403714)CaDiCaL version: 2.1.3
% 0.71/0.37 % (403714)Termination reason: Instruction limit
% 0.71/0.37 % (403714)Termination phase: Saturation
% 0.71/0.37 % (403714)Time elapsed: 0.008 s
% 0.71/0.37 % (403714)Peak memory usage: 11 MB
% 0.71/0.37 % (403714)Instructions burned: 19 (million)
% 0.71/0.37 % (403717)Instruction limit reached!
% 0.71/0.37 % (403717)------------------------------
% 0.71/0.37 % (403717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.37 % (403717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.37 % (403717)CaDiCaL version: 2.1.3
% 0.71/0.37 % (403717)Termination reason: Instruction limit
% 0.71/0.37 % (403717)Termination phase: Saturation
% 0.71/0.37 % (403717)Time elapsed: 0.012 s
% 0.71/0.37 % (403717)Peak memory usage: 11 MB
% 0.71/0.37 % (403717)Instructions burned: 24 (million)
% 0.71/0.37 % (403713)Instruction limit reached!
% 0.71/0.37 % (403713)------------------------------
% 0.71/0.37 % (403713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.37 % (403713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.37 % (403713)CaDiCaL version: 2.1.3
% 0.71/0.37 % (403713)Termination reason: Instruction limit
% 0.71/0.37 % (403713)Termination phase: Saturation
% 0.71/0.37 % (403713)Time elapsed: 0.023 s
% 0.71/0.37 % (403713)Peak memory usage: 12 MB
% 0.71/0.37 % (403713)Instructions burned: 90 (million)
% 0.71/0.37 % (403737)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1346048561:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.37 % (403737)Instruction limit reached!
% 0.71/0.37 % (403737)------------------------------
% 0.71/0.37 % (403737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.37 % (403737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (403737)CaDiCaL version: 2.1.3
% 0.71/0.39 % (403737)Termination reason: Instruction limit
% 0.71/0.39 % (403737)Termination phase: Property scanning
% 0.71/0.39 % (403737)Time elapsed: 0.002 s
% 0.71/0.39 % (403737)Peak memory usage: 10 MB
% 0.71/0.39 % (403737)Instructions burned: 4 (million)
% 0.71/0.39 % (403748)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3130979279:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.39 % (403742)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3337615083:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.39 % (403745)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.39 % (403748)Instruction limit reached!
% 0.71/0.39 % (403748)------------------------------
% 0.71/0.39 % (403748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (403748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (403748)CaDiCaL version: 2.1.3
% 0.71/0.39 % (403748)Termination reason: Instruction limit
% 0.71/0.39 % (403748)Termination phase: Function definition elimination
% 0.71/0.39 % (403748)Time elapsed: 0.003 s
% 0.71/0.39 % (403748)Peak memory usage: 10 MB
% 0.71/0.39 % (403748)Instructions burned: 13 (million)
% 0.71/0.39 % (403742)Instruction limit reached!
% 0.71/0.39 % (403742)------------------------------
% 0.71/0.39 % (403742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (403742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (403742)CaDiCaL version: 2.1.3
% 0.71/0.39 % (403742)Termination reason: Instruction limit
% 0.71/0.39 % (403742)Termination phase: Property scanning
% 0.71/0.39 % (403742)Time elapsed: 0.003 s
% 0.71/0.39 % (403742)Peak memory usage: 10 MB
% 0.71/0.39 % (403742)Instructions burned: 6 (million)
% 0.71/0.39 % (403745)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4055550551:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.39 % (403745)Instruction limit reached!
% 0.71/0.39 % (403745)------------------------------
% 0.71/0.39 % (403745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (403745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (403745)CaDiCaL version: 2.1.3
% 0.71/0.39 % (403745)Termination reason: Instruction limit
% 0.71/0.39 % (403745)Termination phase: Function definition elimination
% 0.71/0.39 % (403745)Time elapsed: 0.004 s
% 0.71/0.39 % (403745)Peak memory usage: 10 MB
% 0.71/0.39 % (403745)Instructions burned: 9 (million)
% 0.71/0.39 % (403718)Instruction limit reached!
% 0.71/0.39 % (403718)------------------------------
% 0.71/0.39 % (403718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.39 % (403718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.39 % (403718)CaDiCaL version: 2.1.3
% 0.71/0.39 % (403718)Termination reason: Instruction limit
% 0.71/0.39 % (403718)Termination phase: Saturation
% 0.71/0.39 % (403718)Time elapsed: 0.037 s
% 0.71/0.39 % (403718)Peak memory usage: 12 MB
% 0.71/0.39 % (403718)Instructions burned: 76 (million)
% 0.71/0.39 % (403750)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
% 0.71/0.39 % (403750)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.39 % (403754)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=3847811036:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.39 % (403750)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4046474203:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.39 % (403756)lrs+10_1_si=on:cs=on:random_seed=2116659027:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.39 % (403760)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.43 % (403760)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=1669112386:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.43 % (403756)Instruction limit reached!
% 0.71/0.43 % (403756)------------------------------
% 0.71/0.43 % (403756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403750)Instruction limit reached!
% 0.71/0.43 % (403750)------------------------------
% 0.71/0.43 % (403750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403756)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403756)Termination reason: Instruction limit
% 0.71/0.43 % (403756)Termination phase: Function definition elimination
% 0.71/0.43 % (403750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403756)Time elapsed: 0.005 s
% 0.71/0.43 % (403756)Peak memory usage: 10 MB
% 0.71/0.43 % (403750)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403750)Termination reason: Instruction limit
% 0.71/0.43 % (403750)Termination phase: Saturation
% 0.71/0.43 % (403756)Instructions burned: 9 (million)
% 0.71/0.43 % (403750)Time elapsed: 0.013 s
% 0.71/0.43 % (403750)Peak memory usage: 11 MB
% 0.71/0.43 % (403750)Instructions burned: 30 (million)
% 0.71/0.43 % (403762)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3034074951:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.43 % (403760)Instruction limit reached!
% 0.71/0.43 % (403760)------------------------------
% 0.71/0.43 % (403760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403760)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403760)Termination reason: Instruction limit
% 0.71/0.43 % (403760)Termination phase: shuffling
% 0.71/0.43 % (403760)Time elapsed: 0.003 s
% 0.71/0.43 % (403760)Peak memory usage: 10 MB
% 0.71/0.43 % (403760)Instructions burned: 7 (million)
% 0.71/0.43 % (403762)Refutation not found, incomplete strategy
% 0.71/0.43 % (403762)------------------------------
% 0.71/0.43 % (403762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403762)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403762)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.43 % (403762)Time elapsed: 0.005 s
% 0.71/0.43 % (403762)Peak memory usage: 12 MB
% 0.71/0.43 % (403762)Instructions burned: 9 (million)
% 0.71/0.43 % (403762)------------------------------
% 0.71/0.43 % (403762)------------------------------
% 0.71/0.43 % (403754)Instruction limit reached!
% 0.71/0.43 % (403754)------------------------------
% 0.71/0.43 % (403754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403754)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403754)Termination reason: Instruction limit
% 0.71/0.43 % (403754)Termination phase: Saturation
% 0.71/0.43 % (403754)Time elapsed: 0.025 s
% 0.71/0.43 % (403754)Peak memory usage: 12 MB
% 0.71/0.43 % (403754)Instructions burned: 86 (million)
% 0.71/0.43 % (403783)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2108332485:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.43 % (403777)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4214087666:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.71/0.43 % (403775)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3081391567:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.43 % (403720)Instruction limit reached!
% 0.71/0.43 % (403720)------------------------------
% 0.71/0.43 % (403720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.43 % (403720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.43 % (403720)CaDiCaL version: 2.1.3
% 0.71/0.43 % (403720)Termination reason: Instruction limit
% 0.71/0.43 % (403720)Termination phase: Saturation
% 0.71/0.43 % (403720)Time elapsed: 0.077 s
% 0.71/0.43 % (403720)Peak memory usage: 12 MB
% 1.48/0.47 % (403720)Instructions burned: 158 (million)
% 1.48/0.47 % (403779)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2912433436:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.48/0.47 % (403783)Instruction limit reached!
% 1.48/0.47 % (403783)------------------------------
% 1.48/0.47 % (403783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403783)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403783)Termination reason: Instruction limit
% 1.48/0.47 % (403783)Termination phase: Saturation
% 1.48/0.47 % (403783)Time elapsed: 0.004 s
% 1.48/0.47 % (403783)Peak memory usage: 12 MB
% 1.48/0.47 % (403783)Instructions burned: 18 (million)
% 1.48/0.47 % (403781)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=399153040:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.48/0.47 % (403775)Refutation not found, incomplete strategy
% 1.48/0.47 % (403775)------------------------------
% 1.48/0.47 % (403775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403775)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403775)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.47 % (403775)Time elapsed: 0.005 s
% 1.48/0.47 % (403775)Peak memory usage: 12 MB
% 1.48/0.47 % (403775)Instructions burned: 9 (million)
% 1.48/0.47 % (403775)------------------------------
% 1.48/0.47 % (403775)------------------------------
% 1.48/0.47 % (403779)Instruction limit reached!
% 1.48/0.47 % (403779)------------------------------
% 1.48/0.47 % (403779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403779)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403779)Termination reason: Instruction limit
% 1.48/0.47 % (403779)Termination phase: Property scanning
% 1.48/0.47 % (403779)Time elapsed: 0.006 s
% 1.48/0.47 % (403779)Peak memory usage: 10 MB
% 1.48/0.47 % (403779)Instructions burned: 15 (million)
% 1.48/0.47 % (403777)Instruction limit reached!
% 1.48/0.47 % (403777)------------------------------
% 1.48/0.47 % (403777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403777)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403777)Termination reason: Instruction limit
% 1.48/0.47 % (403777)Termination phase: Saturation
% 1.48/0.47 % (403777)Time elapsed: 0.014 s
% 1.48/0.47 % (403777)Peak memory usage: 12 MB
% 1.48/0.47 % (403777)Instructions burned: 25 (million)
% 1.48/0.47 % (403798)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3519318161:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.48/0.47 % (403798)Instruction limit reached!
% 1.48/0.47 % (403798)------------------------------
% 1.48/0.47 % (403798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403798)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403798)Termination reason: Instruction limit
% 1.48/0.47 % (403798)Termination phase: Saturation
% 1.48/0.47 % (403798)Time elapsed: 0.006 s
% 1.48/0.47 % (403798)Peak memory usage: 11 MB
% 1.48/0.47 % (403798)Instructions burned: 27 (million)
% 1.48/0.47 % (403796)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1507475708: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)
% 1.48/0.47 % (403796)Instruction limit reached!
% 1.48/0.47 % (403796)------------------------------
% 1.48/0.47 % (403796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.47 % (403796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.47 % (403796)CaDiCaL version: 2.1.3
% 1.48/0.47 % (403796)Termination reason: Instruction limit
% 1.48/0.47 % (403796)Termination phase: Property scanning
% 1.48/0.47 % (403796)Time elapsed: 0.002 s
% 1.48/0.47 % (403796)Peak memory usage: 10 MB
% 1.48/0.47 % (403796)Instructions burned: 4 (million)
% 1.48/0.47 % (403802)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3976339495:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.51 % (403804)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3467831916:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.48/0.51 % (403806)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
% 1.48/0.51 % (403806)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.48/0.51 % (403806)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=2946134335:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.48/0.51 % (403808)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.48/0.51 % (403802)Instruction limit reached!
% 1.48/0.51 % (403802)------------------------------
% 1.48/0.51 % (403802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403802)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403802)Termination reason: Instruction limit
% 1.48/0.51 % (403802)Termination phase: Saturation
% 1.48/0.51 % (403802)Time elapsed: 0.010 s
% 1.48/0.51 % (403802)Peak memory usage: 11 MB
% 1.48/0.51 % (403802)Instructions burned: 23 (million)
% 1.48/0.51 % (403808)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=723425465:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.48/0.51 % (403806)Instruction limit reached!
% 1.48/0.51 % (403806)------------------------------
% 1.48/0.51 % (403806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403806)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403806)Termination reason: Instruction limit
% 1.48/0.51 % (403806)Termination phase: Property scanning
% 1.48/0.51 % (403806)Time elapsed: 0.006 s
% 1.48/0.51 % (403806)Peak memory usage: 10 MB
% 1.48/0.51 % (403806)Instructions burned: 14 (million)
% 1.48/0.51 % (403809)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=2359156161:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.48/0.51 % (403808)Instruction limit reached!
% 1.48/0.51 % (403808)------------------------------
% 1.48/0.51 % (403808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403808)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403808)Termination reason: Instruction limit
% 1.48/0.51 % (403808)Termination phase: Property scanning
% 1.48/0.51 % (403808)Time elapsed: 0.004 s
% 1.48/0.51 % (403808)Peak memory usage: 11 MB
% 1.48/0.51 % (403808)Instructions burned: 8 (million)
% 1.48/0.51 % (403819)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=372366851:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.48/0.51 % (403821)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3501314330:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.48/0.51 % (403819)Instruction limit reached!
% 1.48/0.51 % (403819)------------------------------
% 1.48/0.51 % (403819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403819)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403819)Termination reason: Instruction limit
% 1.48/0.51 % (403819)Termination phase: Property scanning
% 1.48/0.51 % (403819)Time elapsed: 0.004 s
% 1.48/0.51 % (403819)Peak memory usage: 10 MB
% 1.48/0.51 % (403819)Instructions burned: 9 (million)
% 1.48/0.51 % (403809)Instruction limit reached!
% 1.48/0.51 % (403809)------------------------------
% 1.48/0.51 % (403809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403809)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403809)Termination reason: Instruction limit
% 1.48/0.51 % (403809)Termination phase: Saturation
% 1.48/0.51 % (403809)Time elapsed: 0.017 s
% 1.48/0.51 % (403809)Peak memory usage: 12 MB
% 1.48/0.51 % (403809)Instructions burned: 32 (million)
% 1.48/0.51 % (403804)Instruction limit reached!
% 1.48/0.51 % (403804)------------------------------
% 1.48/0.51 % (403804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403804)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403804)Termination reason: Instruction limit
% 1.48/0.51 % (403804)Termination phase: Saturation
% 1.48/0.51 % (403804)Time elapsed: 0.033 s
% 1.48/0.51 % (403804)Peak memory usage: 12 MB
% 1.48/0.51 % (403804)Instructions burned: 60 (million)
% 1.48/0.51 % (403825)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=853259302:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.48/0.51 % (403821)Instruction limit reached!
% 1.48/0.51 % (403821)------------------------------
% 1.48/0.51 % (403821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403821)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403821)Termination reason: Instruction limit
% 1.48/0.51 % (403821)Termination phase: Saturation
% 1.48/0.51 % (403821)Time elapsed: 0.010 s
% 1.48/0.51 % (403821)Peak memory usage: 11 MB
% 1.48/0.51 % (403821)Instructions burned: 23 (million)
% 1.48/0.51 % (403825)Instruction limit reached!
% 1.48/0.51 % (403825)------------------------------
% 1.48/0.51 % (403825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403825)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403825)Termination reason: Instruction limit
% 1.48/0.51 % (403825)Termination phase: Saturation
% 1.48/0.51 % (403825)Time elapsed: 0.008 s
% 1.48/0.51 % (403825)Peak memory usage: 12 MB
% 1.48/0.51 % (403825)Instructions burned: 22 (million)
% 1.48/0.51 % (403833)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3793758333:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.48/0.51 % (403832)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2053987383:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.48/0.51 % (403843)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.48/0.51 % (403836)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=368607723:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.48/0.51 % (403843)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2310622164:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.48/0.51 % (403843)Instruction limit reached!
% 1.48/0.51 % (403843)------------------------------
% 1.48/0.51 % (403843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403843)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403843)Termination reason: Instruction limit
% 1.48/0.51 % (403843)Termination phase: Property scanning
% 1.48/0.51 % (403843)Time elapsed: 0.002 s
% 1.48/0.51 % (403843)Peak memory usage: 10 MB
% 1.48/0.51 % (403843)Instructions burned: 11 (million)
% 1.48/0.51 % (403841)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2243564640:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.48/0.51 % (403836)Refutation not found, incomplete strategy
% 1.48/0.51 % (403836)------------------------------
% 1.48/0.51 % (403836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403836)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403836)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.51 % (403836)Time elapsed: 0.008 s
% 1.48/0.51 % (403836)Peak memory usage: 12 MB
% 1.48/0.51 % (403836)Instructions burned: 16 (million)
% 1.48/0.51 % (403836)------------------------------
% 1.48/0.51 % (403836)------------------------------
% 1.48/0.51 % (403854)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3742462924:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.48/0.51 % (403841)Instruction limit reached!
% 1.48/0.51 % (403841)------------------------------
% 1.48/0.51 % (403841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403841)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403841)Termination reason: Instruction limit
% 1.48/0.51 % (403841)Termination phase: Saturation
% 1.48/0.51 % (403841)Time elapsed: 0.020 s
% 1.48/0.51 % (403841)Peak memory usage: 12 MB
% 1.48/0.51 % (403841)Instructions burned: 42 (million)
% 1.48/0.51 % (403856)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=58706859: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)
% 1.48/0.51 % (403854)Refutation not found, incomplete strategy
% 1.48/0.51 % (403854)------------------------------
% 1.48/0.51 % (403854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403854)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403854)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.51 % (403854)Time elapsed: 0.003 s
% 1.48/0.51 % (403854)Peak memory usage: 12 MB
% 1.48/0.51 % (403854)Instructions burned: 9 (million)
% 1.48/0.51 % (403854)------------------------------
% 1.48/0.51 % (403854)------------------------------
% 1.48/0.51 % (403863)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=263898261:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.48/0.51 % (403856)Refutation not found, incomplete strategy
% 1.48/0.51 % (403856)------------------------------
% 1.48/0.51 % (403856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403856)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403856)Termination reason: Refutation not found, incomplete strategy
% 1.48/0.51 % (403856)Time elapsed: 0.011 s
% 1.48/0.51 % (403856)Peak memory usage: 12 MB
% 1.48/0.51 % (403856)Instructions burned: 23 (million)
% 1.48/0.51 % (403856)------------------------------
% 1.48/0.51 % (403856)------------------------------
% 1.48/0.51 % (403861)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.48/0.51 % (403863)Instruction limit reached!
% 1.48/0.51 % (403863)------------------------------
% 1.48/0.51 % (403863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403863)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403863)Termination reason: Instruction limit
% 1.48/0.51 % (403863)Termination phase: Saturation
% 1.48/0.51 % (403863)Time elapsed: 0.005 s
% 1.48/0.51 % (403863)Peak memory usage: 11 MB
% 1.48/0.51 % (403863)Instructions burned: 23 (million)
% 1.48/0.51 % (403781) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-403697-403781"...
% 1.48/0.51 % (403861)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1343457031:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.48/0.51 % (403861)Instruction limit reached!
% 1.48/0.51 % (403861)------------------------------
% 1.48/0.51 % (403861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403861)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403861)Termination reason: Instruction limit
% 1.48/0.51 % (403861)Termination phase: SInE selection
% 1.48/0.51 % (403861)Time elapsed: 0.003 s
% 1.48/0.51 % (403861)Peak memory usage: 10 MB
% 1.48/0.51 % (403861)Instructions burned: 6 (million)
% 1.48/0.51 % (403871)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=3742605238:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.48/0.51 % (403781)...printing done.
% 1.48/0.51 % (403781)Refutation found. Thanks to Tanya!
% 1.48/0.51 % SZS status Theorem for theBenchmark
% 1.48/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.51 % (403781)------------------------------
% 1.48/0.51 % (403781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.51 % (403781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.51 % (403781)CaDiCaL version: 2.1.3
% 1.48/0.51 % (403781)Termination reason: Refutation
% 1.48/0.51 % (403781)Time elapsed: 0.132 s
% 1.48/0.51 % (403781)Peak memory usage: 14 MB
% 1.48/0.51 % (403781)Instructions burned: 281 (million)
% 1.48/0.51 % (403697)Success in time 0.252 s
% 1.48/0.51 % Vampire exiting
%------------------------------------------------------------------------------