%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : AGT031^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 07:44:40 AM UTC 2026
% Result : Theorem 89.70s 12.91s
% Output : Refutation 89.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 21
% Syntax : Number of formulae : 272 ( 139 unt; 0 typ; 3 def)
% Number of atoms : 2096 ( 487 equ; 0 cnn)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 3841 ( 402 ~; 471 |; 0 &;2796 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 200 ( 200 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 65 usr; 12 con; 0-4 aty)
% ( 169 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 863 ( 0 sgn 378 !; 0 ?; 863 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
a1: $i > $i > $o ).
thf(func_def_33,type,
a2: $i > $i > $o ).
thf(func_def_34,type,
a3: $i > $i > $o ).
thf(func_def_35,type,
jan: mu ).
thf(func_def_36,type,
piotr: mu ).
thf(func_def_37,type,
cola: mu ).
thf(func_def_38,type,
pepsi: mu ).
thf(func_def_39,type,
beer: mu ).
thf(func_def_40,type,
likes: mu > mu > $i > $o ).
thf(func_def_41,type,
very_much_likes: mu > mu > $i > $o ).
thf(func_def_42,type,
possibly_likes: mu > mu > $i > $o ).
thf(func_def_43,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_46,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_47,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vNOT: $o > $o ).
thf(func_def_49,type,
vOR: $o > $o > $o ).
thf(func_def_50,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
vIMP: $o > $o > $o ).
thf(func_def_55,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vAND: $o > $o > $o ).
thf(func_def_57,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
sK1: mu > $i > mu > $i ).
thf(func_def_60,type,
sK2: mu > mu > $i > $i ).
thf(func_def_61,type,
sK3: mu > mu > $i > $i ).
thf(func_def_62,type,
sK4: $i > $i ).
thf(func_def_63,type,
sK5: $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f5,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f12,axiom,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(f39,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(f41,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(f42,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(f44,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X0 @ X1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ X0 @ X1 ) ) @ ( mbox @ a2 @ ( likes @ X0 @ X1 ) ) ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(f45,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(f46,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(f50,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
thf(f54,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f55,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f54]) ).
thf(f56,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f57,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f59,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f63,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f64,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f67,plain,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f68,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f67]) ).
thf(f72,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f73,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f74,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f95,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f96,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f95]) ).
thf(f103,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f104,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f103]) ).
thf(f111,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f112,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f111]) ).
thf(f117,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f118,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) ) ),
inference(fool_elimination,[],[f117]) ).
thf(f121,plain,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f41]) ).
thf(f122,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f121]) ).
thf(f123,plain,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
inference(rectify,[],[f42]) ).
thf(f124,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f123]) ).
thf(f127,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(f128,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,[],[f127]) ).
thf(f129,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f45]) ).
thf(f130,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f129]) ).
thf(f131,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(f132,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f131]) ).
thf(f139,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( very_much_likes @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f51]) ).
thf(f140,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f139]) ).
thf(f141,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ),
inference(flattening,[],[f140]) ).
thf(f144,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f145,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f146,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f147,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f151,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f153,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f157,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f158,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f74]) ).
thf(f169,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f96]) ).
thf(f173,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f104]) ).
thf(f177,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f112]) ).
thf(f180,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ Y0 @ pepsi ) @ ( likes @ Y0 @ cola ) ) ) ) ) ),
inference(cnf_transformation,[],[f118]) ).
thf(f182,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f122]) ).
thf(f183,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f124]) ).
thf(f185,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,[],[f128]) ).
thf(f186,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f130]) ).
thf(f187,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ Y0 @ Y1 ) ) @ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f132]) ).
thf(f191,plain,
( $true
!= ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f141]) ).
thf(f194,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f146,f144,f145,f144,f144]) ).
thf(f195,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f147,f145,f144]) ).
thf(f199,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f153,f144,f151,f144]) ).
thf(f202,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f158,f144,f157,f144]) ).
thf(f203,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ a1
@ ( likes @ jan @ cola ) ) ) ),
inference(definition_unfolding,[],[f173,f169,f157]) ).
thf(f207,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ a2
@ ( likes @ jan @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f177,f169,f157]) ).
thf(f210,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: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ a2
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y3 @ Y5 )
| ( Y4 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( likes @ Y0 @ pepsi )
@ ( likes @ Y0 @ cola ) ) ) ) ) ),
inference(definition_unfolding,[],[f180,f169,f151,f157,f195]) ).
thf(f212,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ a3
@ ( likes @ jan @ cola ) ) ) ),
inference(definition_unfolding,[],[f182,f169,f157]) ).
thf(f213,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a3
@ ( likes @ piotr @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f183,f169,f202]) ).
thf(f215,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a3
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( likes @ Y0 @ Y1 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) ) ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f185,f169,f151,f151,f157,f195,f194,f194,f157,f157]) ).
thf(f216,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ a3
@ ( very_much_likes @ Y0 @ Y1 ) )
@ ( very_much_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f186,f169,f151,f151,f195,f157]) ).
thf(f217,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ~ ( Y4 @ Y6 @ Y7 )
| ( Y5 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a3
@ ( very_much_likes @ Y0 @ Y1 ) )
@ ( likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f187,f169,f151,f151,f195,f202]) ).
thf(f221,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( very_much_likes @ Y0 @ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f191,f169,f199,f199]) ).
thf(f222,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f221]) ).
thf(f223,plain,
( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f222]) ).
thf(f224,plain,
( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f223]) ).
thf(f225,plain,
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) ) ) ),
inference(not_proxy_clausification,[],[f224]) ).
thf(f226,plain,
! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( very_much_likes @ Y0 @ Y1 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f225]) ).
thf(f227,plain,
! [X1: mu] :
( $true
= ( ~ ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f226]) ).
thf(f228,plain,
! [X1: mu] :
( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 ) ) ) ),
inference(not_proxy_clausification,[],[f227]) ).
thf(f229,plain,
! [X1: mu] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 ) ) ),
inference(not_proxy_clausification,[],[f228]) ).
thf(f230,plain,
! [X2: mu,X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ( very_much_likes @ X1 @ Y0 @ sK0 )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f229]) ).
thf(f231,plain,
! [X2: mu,X1: mu] :
( $true
= ( ~ ( very_much_likes @ X1 @ X2 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f230]) ).
thf(f232,plain,
! [X2: mu,X1: mu] :
( $false
= ( very_much_likes @ X1 @ X2 @ sK0 ) ),
inference(not_proxy_clausification,[],[f231]) ).
thf(f278,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) )
| ( likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f217]) ).
thf(f279,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) )
| ( likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f278]) ).
thf(f280,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) )
| ( likes @ Y0 @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f279]) ).
thf(f281,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) )
| ( likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f280]) ).
thf(f282,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ( very_much_likes @ X2 @ Y0 @ Y1 ) ) )
| ( likes @ X2 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f281]) ).
thf(f283,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ( very_much_likes @ X2 @ Y0 @ Y1 ) ) )
| ( likes @ X2 @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f282]) ).
thf(f284,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) ) )
| ( likes @ X2 @ X3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f283]) ).
thf(f285,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f284]) ).
thf(f286,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f285]) ).
thf(f287,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f286]) ).
thf(f288,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( very_much_likes @ X2 @ X3 @ Y0 ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f287]) ).
thf(f289,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( a3 @ X1 @ X4 )
| ~ ( very_much_likes @ X2 @ X3 @ X4 ) ) ) ),
inference(beta-eta_normalization,[],[f288]) ).
thf(f290,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( very_much_likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( ~ ( a3 @ X1 @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f289]) ).
thf(f291,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( ~ ( a3 @ X1 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f290]) ).
thf(f292,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f291]) ).
thf(f293,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f294,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f293]) ).
thf(f295,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f294]) ).
thf(f296,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) )
| ( very_much_likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f295]) ).
thf(f297,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ( very_much_likes @ X2 @ Y0 @ Y1 ) ) )
| ( very_much_likes @ X2 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f296]) ).
thf(f298,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ( very_much_likes @ X2 @ Y0 @ Y1 ) ) )
| ( very_much_likes @ X2 @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f297]) ).
thf(f299,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 ) ) )
| ( very_much_likes @ X2 @ X3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f298]) ).
thf(f300,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f299]) ).
thf(f301,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f300]) ).
thf(f302,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( very_much_likes @ X2 @ X3 @ Y0 ) )
@ ( sK1 @ X3 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f301]) ).
thf(f303,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( a3 @ X1 @ ( sK1 @ X3 @ X1 @ X2 ) )
| ( very_much_likes @ X2 @ X3 @ ( sK1 @ X3 @ X1 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f302]) ).
thf(f304,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $false
= ( very_much_likes @ X2 @ X3 @ ( sK1 @ X3 @ X1 @ X2 ) ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f303]) ).
thf(f305,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( a3 @ X1 @ ( sK1 @ X3 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f303]) ).
thf(f306,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( a3 @ X1 @ ( sK1 @ X3 @ X1 @ X2 ) ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f305]) ).
thf(f307,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ~ ( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f215]) ).
thf(f308,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a3 @ Y0 @ Y3 )
| ~ ~ ( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a1 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( a2 @ Y3 @ Y4 )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f307]) ).
thf(f309,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ~ ( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) ) ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f308]) ).
thf(f310,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a3 @ X1 @ Y2 )
| ~ ~ ( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y2 @ Y3 )
| ( likes @ Y0 @ Y1 @ Y3 ) ) ) ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f309]) ).
thf(f311,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ~ ( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) ) ) )
| ( very_much_likes @ X2 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f310]) ).
thf(f312,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ X1 @ Y1 )
| ~ ~ ( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y1 @ Y2 )
| ( likes @ X2 @ Y0 @ Y2 ) ) ) ) )
| ( very_much_likes @ X2 @ Y0 @ Y1 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f311]) ).
thf(f313,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ~ ( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) ) ) )
| ( very_much_likes @ X2 @ X3 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f312]) ).
thf(f314,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ~ ( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ X2 @ X3 @ Y1 ) ) ) ) )
| ( very_much_likes @ X2 @ X3 @ Y0 ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f313]) ).
thf(f315,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( $true
= ( ~ ( a3 @ X1 @ X4 )
| ~ ~ ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) )
| ( very_much_likes @ X2 @ X3 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f314]) ).
thf(f316,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ~ ~ ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) )
| ( very_much_likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( ~ ( a3 @ X1 @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f315]) ).
thf(f317,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( ~ ( a3 @ X1 @ X4 ) ) )
| ( $true
= ( ~ ~ ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f316]) ).
thf(f318,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( ~ ~ ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f317]) ).
thf(f319,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ~ ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f318]) ).
thf(f320,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f319]) ).
thf(f321,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( ~ ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(or_proxy_clausification,[],[f320]) ).
thf(f322,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f321]) ).
thf(f323,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f322]) ).
thf(f324,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f323]) ).
thf(f325,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f324]) ).
thf(f326,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) )
@ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f325]) ).
thf(f327,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) )
@ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f326]) ).
thf(f328,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) )
@ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f327]) ).
thf(f329,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a2 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) )
@ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ^ [Y0: $i] :
( ~ ( a1 @ X4 @ Y0 )
| ( likes @ X2 @ X3 @ Y0 ) )
@ ( sK3 @ X3 @ X2 @ X4 ) ) ) ),
inference(sigma_proxy_clausification,[],[f328]) ).
thf(f330,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ~ ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) )
| ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X2 @ X4 ) ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) )
| ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(beta-eta_normalization,[],[f329]) ).
thf(f331,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) )
| ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(or_proxy_clausification,[],[f330]) ).
thf(f332,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( ~ ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) )
| ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(or_proxy_clausification,[],[f330]) ).
thf(f333,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) )
| ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(not_proxy_clausification,[],[f332]) ).
thf(f334,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) )
| ( $true
= ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f333]) ).
thf(f335,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(or_proxy_clausification,[],[f333]) ).
thf(f336,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( a2 @ X4 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f335]) ).
thf(f337,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK3 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f331]) ).
thf(f338,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( ~ ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) ) ) ) ),
inference(or_proxy_clausification,[],[f331]) ).
thf(f339,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ ( sK2 @ X3 @ X2 @ X4 ) ) )
| ( $true
= ( a1 @ X4 @ ( sK3 @ X3 @ X2 @ X4 ) ) )
| ( $false
= ( a3 @ X1 @ X4 ) )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $true
= ( very_much_likes @ X2 @ X3 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f338]) ).
thf(f350,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f351,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f350]) ).
thf(f352,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f351]) ).
thf(f353,plain,
! [X1: $i] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f352]) ).
thf(f354,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) )
@ ( sK5 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f353]) ).
thf(f355,plain,
! [X1: $i] :
( $false
= ( ~ ( a3 @ X1 @ ( sK5 @ X1 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f354]) ).
thf(f357,plain,
! [X1: $i] :
( $false
= ( ~ ( a3 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f355]) ).
thf(f358,plain,
! [X1: $i] :
( $true
= ( a3 @ X1 @ ( sK5 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f357]) ).
thf(f360,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f361,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f360]) ).
thf(f362,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f361]) ).
thf(f363,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f362]) ).
thf(f364,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a3 @ X1 @ X2 )
| ( likes @ jan @ cola @ X2 ) ) ),
inference(beta-eta_normalization,[],[f363]) ).
thf(f365,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $true
= ( ~ ( a3 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f364]) ).
thf(f366,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $false
= ( a3 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f365]) ).
thf(f378,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ( likes @ Y1 @ cola @ Y2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f379,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ Y0 @ Y2 )
| ~ ( likes @ Y1 @ pepsi @ Y2 )
| ( likes @ Y1 @ cola @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f378]) ).
thf(f380,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ( likes @ Y0 @ cola @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f379]) ).
thf(f381,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ~ ( likes @ Y0 @ pepsi @ Y1 )
| ( likes @ Y0 @ cola @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f380]) ).
thf(f382,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ( likes @ X2 @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f381]) ).
thf(f383,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ( likes @ X2 @ cola @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f382]) ).
thf(f384,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 )
| ( likes @ X2 @ cola @ X3 ) ) ),
inference(beta-eta_normalization,[],[f383]) ).
thf(f385,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( likes @ X2 @ pepsi @ X3 )
| ( likes @ X2 @ cola @ X3 ) ) )
| ( $true
= ( ~ ( a2 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f384]) ).
thf(f386,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( likes @ X2 @ cola @ X3 ) )
| ( $true
= ( ~ ( a2 @ X1 @ X3 ) ) )
| ( $true
= ( ~ ( likes @ X2 @ pepsi @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f385]) ).
thf(f387,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( likes @ X2 @ cola @ X3 ) )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( ~ ( likes @ X2 @ pepsi @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f386]) ).
thf(f388,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( likes @ X2 @ pepsi @ X3 ) )
| ( $false
= ( a2 @ X1 @ X3 ) )
| ( $true
= ( likes @ X2 @ cola @ X3 ) ) ),
inference(not_proxy_clausification,[],[f387]) ).
thf(f403,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f404,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f403]) ).
thf(f405,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f404]) ).
thf(f406,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f405]) ).
thf(f407,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X2 )
| ( likes @ jan @ pepsi @ X2 ) ) ),
inference(beta-eta_normalization,[],[f406]) ).
thf(f408,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ pepsi @ X2 ) )
| ( $true
= ( ~ ( a2 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f407]) ).
thf(f409,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ pepsi @ X2 ) )
| ( $false
= ( a2 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f408]) ).
thf(f451,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f452,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f451]) ).
thf(f453,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f452]) ).
thf(f454,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f453]) ).
thf(f455,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a1 @ X1 @ X2 )
| ( likes @ jan @ cola @ X2 ) ) ),
inference(beta-eta_normalization,[],[f454]) ).
thf(f456,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $true
= ( ~ ( a1 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f455]) ).
thf(f457,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $false
= ( a1 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f456]) ).
thf(f497,definition,
( spl6_3
<=> ! [X2: $i] :
( $true
= ( likes @ jan @ cola @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f498,plain,
( ! [X2: $i] :
( $true
= ( likes @ jan @ cola @ X2 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f497]) ).
thf(f504,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f358,f366]) ).
thf(f505,plain,
! [X0: $i] :
( $true
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f731,plain,
! [X2: mu,X0: $i,X1: mu] :
( ( $true = $false )
| ( $true
= ( likes @ X1 @ X2 @ X0 ) )
| ( $false
= ( very_much_likes @ X1 @ X2 @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f358,f292]) ).
thf(f736,plain,
! [X2: mu,X0: $i,X1: mu] :
( ( $false
= ( very_much_likes @ X1 @ X2 @ ( sK5 @ X0 ) ) )
| ( $true
= ( likes @ X1 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f731]) ).
thf(f1359,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f498,f337]) ).
thf(f1394,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f1359]) ).
thf(f1447,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1394,f498]) ).
thf(f1448,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f1447]) ).
thf(f1509,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(forward_demodulation,[],[f1448,f498]) ).
thf(f1510,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f1509]) ).
thf(f1548,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(global_subsumption,[],[f1510]) ).
thf(f2106,definition,
( spl6_33
<=> ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_33])],[avatar_definition]) ).
thf(f2107,plain,
( ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f2106]) ).
thf(f2119,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a3 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) ) )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f304,f1548]) ).
thf(f2122,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ ( sK1 @ cola @ X0 @ jan ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f2119]) ).
thf(f2134,plain,
( ( $true = $false )
| ~ spl6_33 ),
inference(constrained_superposition,[],[f2107,f232]) ).
thf(f2150,plain,
( $false
| ~ spl6_33 ),
inference(trivial_inequality_removal,[],[f2134]) ).
thf(f2151,plain,
~ spl6_33,
inference(avatar_contradiction_clause,[],[f2150]) ).
thf(f2211,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f306,f2122]) ).
thf(f2212,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) )
| ~ spl6_3 ),
inference(duplicate_literal_removal,[],[f2211]) ).
thf(f2213,plain,
( ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f2212]) ).
thf(f2217,plain,
( spl6_33
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f2213,f497,f2106]) ).
thf(f2301,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a2 @ X1 @ X0 ) )
| ( $false
= ( a2 @ X2 @ X0 ) )
| ( $true
= ( likes @ jan @ cola @ X0 ) ) ),
inference(constrained_superposition,[],[f409,f388]) ).
thf(f2318,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( a2 @ X1 @ X0 ) )
| ( $false
= ( a2 @ X2 @ X0 ) )
| ( $true
= ( likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f2301]) ).
thf(f2476,plain,
! [X0: $i,X1: $i] :
( ( $false != $false )
| ( $false
= ( a2 @ X0 @ X1 ) )
| ( $true
= ( likes @ jan @ cola @ X1 ) ) ),
inference(equality_factoring,[],[f2318]) ).
thf(f2477,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a2 @ X0 @ X1 ) )
| ( $true
= ( likes @ jan @ cola @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f2476]) ).
thf(f33660,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a2 @ X1 @ ( sK2 @ cola @ jan @ X0 ) ) )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(constrained_superposition,[],[f2477,f339]) ).
thf(f33859,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a2 @ X1 @ ( sK2 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f33660]) ).
thf(f37168,definition,
( spl6_182
<=> ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_182])],[avatar_definition]) ).
thf(f37169,plain,
( ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f37168]) ).
thf(f37199,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ X0 ) ) )
| ~ spl6_182 ),
inference(constrained_superposition,[],[f736,f37169]) ).
thf(f37200,plain,
( ! [X0: $i] :
( $true
= ( likes @ jan @ cola @ X0 ) )
| ~ spl6_182 ),
inference(trivial_inequality_removal,[],[f37199]) ).
thf(f37210,plain,
( spl6_3
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f37200,f37168,f497]) ).
thf(f49429,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(constrained_superposition,[],[f336,f33859]) ).
thf(f49433,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f49429]) ).
thf(f49434,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f49433]) ).
thf(f49545,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) ) ),
inference(global_subsumption,[],[f49434]) ).
thf(f57335,plain,
! [X0: $i,X1: $i] :
( ( $false != $false )
| ( $true
= ( a1 @ X1 @ ( sK3 @ cola @ jan @ X1 ) ) )
| ( $false
= ( a3 @ X0 @ X1 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X1 ) )
| ( $false
= ( likes @ jan @ cola @ X1 ) ) ),
inference(equality_factoring,[],[f49545]) ).
thf(f57336,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( a1 @ X1 @ ( sK3 @ cola @ jan @ X1 ) ) )
| ( $false
= ( a3 @ X0 @ X1 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X1 ) )
| ( $false
= ( likes @ jan @ cola @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f57335]) ).
thf(f57515,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) ) ),
inference(constrained_superposition,[],[f457,f57336]) ).
thf(f57606,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f57515]) ).
thf(f68022,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f358,f57606]) ).
thf(f68025,plain,
! [X0: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68022]) ).
thf(f68049,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f68025,f505]) ).
thf(f68050,plain,
! [X0: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68049]) ).
thf(f68197,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( a2 @ ( sK5 @ X0 ) @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f334,f68050]) ).
thf(f68198,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f337,f68050]) ).
thf(f68199,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f68198]) ).
thf(f68200,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68199]) ).
thf(f68201,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( a2 @ ( sK5 @ X0 ) @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f68197]) ).
thf(f68202,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( a2 @ ( sK5 @ X0 ) @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68201]) ).
thf(f68219,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( a2 @ ( sK5 @ X0 ) @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f68202,f505]) ).
thf(f68220,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( a2 @ ( sK5 @ X0 ) @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68219]) ).
thf(f68260,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f68200,f505]) ).
thf(f68261,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68260]) ).
thf(f68918,plain,
! [X0: $i] :
( ( $true = $false )
| ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f358,f68261]) ).
thf(f68919,plain,
! [X0: $i] :
( ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68918]) ).
thf(f69006,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a2 @ X1 @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f2477,f68919]) ).
thf(f69027,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a2 @ X1 @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f69006]) ).
thf(f69049,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f68220,f69027]) ).
thf(f69050,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f69049]) ).
thf(f69051,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f69050]) ).
thf(f69089,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f358,f69051]) ).
thf(f69102,plain,
! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f69089]) ).
thf(f69111,plain,
spl6_182,
inference(avatar_split_clause,[],[f69102,f37168]) ).
cnf(s595,plain,
~ spl6_33,
inference(sat_conversion,[],[f2151]) ).
cnf(s643,plain,
( ~ spl6_3
| spl6_33 ),
inference(sat_conversion,[],[f2217]) ).
cnf(s7687,plain,
( spl6_3
| ~ spl6_182 ),
inference(sat_conversion,[],[f37210]) ).
cnf(s12612,plain,
spl6_182,
inference(sat_conversion,[],[f69111]) ).
cnf(s12613,plain,
spl6_3,
inference(rat,[],[s7687,s12612]) ).
cnf(s12614,plain,
spl6_33,
inference(rat,[],[s643,s12613]) ).
cnf(s12615,plain,
$false,
inference(rat,[],[s595,s12614]) ).
thf(f69112,plain,
$false,
inference(avatar_sat_refutation,[],[s12615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT031^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:33:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.89/0.91 % (916834)Will run a generic schedule for satisfiability detection.
% 3.89/0.91 % (916842)dis+10_1_sil=32000:sp=arity:random_seed=2319682345:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.89/0.91 % (916840)% WARNING: option uhcvi not known.
% 3.89/0.91 % (916839)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=15406686_2999 on theBenchmark for (2999ds/0Mi)
% 3.89/0.91 % (916840)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4229815014:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.89/0.91 % (916841)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3221217262:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.89/0.91 % (916843)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=225867320:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.89/0.91 % (916844)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2914421772:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.89/0.91 % (916845)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3441561087:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.89/0.91 % (916840)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.89/0.91 % (916843)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.89/0.91 % Exception at run slice level
% 3.89/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.89/0.91 % (916840)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.89/0.91 % (916842)Instruction limit reached!
% 3.89/0.91 % (916842)------------------------------
% 3.89/0.91 % (916842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.91 % (916842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.91 % (916842)CaDiCaL version: 2.1.3
% 3.89/0.91 % (916842)Termination reason: Instruction limit
% 3.89/0.91 % (916842)Termination phase: Saturation
% 3.89/0.91 % (916842)Time elapsed: 0.027 s
% 3.89/0.91 % (916842)Peak memory usage: 12 MB
% 3.89/0.91 % (916842)Instructions burned: 107 (million)
% 3.89/0.91 % (916853)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1699088094:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.89/0.91 % Exception at run slice level
% 3.89/0.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.89/0.91 % (916854)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2905801450:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.89/0.91 % (916856)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4259054375:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.89/0.91 % (916843)Instruction limit reached!
% 3.89/0.91 % (916843)------------------------------
% 3.89/0.91 % (916843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.91 % (916843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.91 % (916843)CaDiCaL version: 2.1.3
% 3.89/0.91 % (916843)Termination reason: Instruction limit
% 3.89/0.91 % (916843)Termination phase: Saturation
% 3.89/0.91 % (916843)Time elapsed: 0.054 s
% 3.89/0.91 % (916843)Peak memory usage: 12 MB
% 3.89/0.91 % (916843)Instructions burned: 116 (million)
% 3.89/0.91 % (916856)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.89/0.91 % (916856)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.89/0.91 % (916844)Instruction limit reached!
% 3.89/0.91 % (916844)------------------------------
% 3.89/0.91 % (916844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.89/0.91 % (916844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/0.91 % (916844)CaDiCaL version: 2.1.3
% 3.89/0.91 % (916844)Termination reason: Instruction limit
% 3.89/0.91 % (916844)Termination phase: Saturation
% 3.89/0.91 % (916844)Time elapsed: 0.061 s
% 3.89/0.91 % (916844)Peak memory usage: 12 MB
% 3.89/0.91 % (916844)Instructions burned: 131 (million)
% 3.89/0.91 % (916859)ott-21_1_sil=16000:fs=off:random_seed=1201468661:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.89/0.91 % (916845)Instruction limit reached!
% 3.89/0.91 % (916845)------------------------------
% 17.37/2.82 % (916845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.37/2.82 % (916845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/2.82 % (916845)CaDiCaL version: 2.1.3
% 17.37/2.82 % (916845)Termination reason: Instruction limit
% 17.37/2.82 % (916845)Termination phase: Saturation
% 17.37/2.82 % (916845)Time elapsed: 0.078 s
% 17.37/2.82 % (916845)Peak memory usage: 12 MB
% 17.37/2.82 % (916845)Instructions burned: 159 (million)
% 17.37/2.82 % (916860)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=695213471:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.37/2.82 % (916854)Instruction limit reached!
% 17.37/2.82 % (916854)------------------------------
% 17.37/2.82 % (916854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.37/2.82 % (916854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/2.82 % (916854)CaDiCaL version: 2.1.3
% 17.37/2.82 % (916854)Termination reason: Instruction limit
% 17.37/2.82 % (916854)Termination phase: Saturation
% 17.37/2.82 % (916854)Time elapsed: 0.044 s
% 17.37/2.82 % (916854)Peak memory usage: 12 MB
% 17.37/2.82 % (916854)Instructions burned: 132 (million)
% 17.37/2.82 % (916864)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=535360798:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.37/2.82 % (916862)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3919224165:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.37/2.82 % Exception at run slice level
% 17.37/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.37/2.82 % (916867)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=856678491:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.37/2.82 % Exception at run slice level
% 17.37/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.37/2.82 % (916869)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1589966384:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.37/2.82 % (916869)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.37/2.82 % (916859)Instruction limit reached!
% 17.37/2.82 % (916859)------------------------------
% 17.37/2.82 % (916859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.37/2.82 % (916859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/2.82 % (916859)CaDiCaL version: 2.1.3
% 17.37/2.82 % (916859)Termination reason: Instruction limit
% 17.37/2.82 % (916859)Termination phase: Saturation
% 17.37/2.82 % (916859)Time elapsed: 0.080 s
% 17.37/2.82 % (916859)Peak memory usage: 12 MB
% 17.37/2.82 % (916859)Instructions burned: 180 (million)
% 17.37/2.82 % (916871)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1621827892:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.37/2.82 % (916871)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.37/2.82 % (916860)Instruction limit reached!
% 17.37/2.82 % (916860)------------------------------
% 17.37/2.82 % (916860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.37/2.82 % (916860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/2.82 % (916860)CaDiCaL version: 2.1.3
% 17.37/2.82 % (916860)Termination reason: Instruction limit
% 17.37/2.82 % (916860)Termination phase: Saturation
% 17.37/2.82 % (916860)Time elapsed: 0.252 s
% 17.37/2.82 % (916860)Peak memory usage: 13 MB
% 17.37/2.82 % (916860)Instructions burned: 478 (million)
% 17.37/2.82 % (916873)fmb+10_1_sil=64000:random_seed=3853043951:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 17.37/2.82 % (916873)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.37/2.82 % Exception at run slice level
% 17.37/2.82 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.37/2.82 % (916864)Instruction limit reached!
% 17.37/2.82 % (916864)------------------------------
% 17.37/2.82 % (916864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.37/2.82 % (916864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/2.82 % (916864)CaDiCaL version: 2.1.3
% 17.37/2.82 % (916864)Termination reason: Instruction limit
% 32.86/4.95 % (916864)Termination phase: Saturation
% 32.86/4.95 % (916864)Time elapsed: 0.281 s
% 32.86/4.95 % (916864)Peak memory usage: 14 MB
% 32.86/4.95 % (916864)Instructions burned: 1179 (million)
% 32.86/4.95 % (916856)Instruction limit reached!
% 32.86/4.95 % (916856)------------------------------
% 32.86/4.95 % (916856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.86/4.95 % (916856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.86/4.95 % (916856)CaDiCaL version: 2.1.3
% 32.86/4.95 % (916856)Termination reason: Instruction limit
% 32.86/4.95 % (916856)Termination phase: Saturation
% 32.86/4.95 % (916856)Time elapsed: 0.322 s
% 32.86/4.95 % (916856)Peak memory usage: 13 MB
% 32.86/4.95 % (916856)Instructions burned: 685 (million)
% 32.86/4.95 % (916875)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4229898391:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 32.86/4.95 % (916876)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2832835330:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 32.86/4.95 % Exception at run slice level
% 32.86/4.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.86/4.95 % Exception at run slice level
% 32.86/4.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.86/4.95 % (916877)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3791124753:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 32.86/4.95 % (916877)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.86/4.95 % (916881)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3550601913:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 32.86/4.95 % Exception at run slice level
% 32.86/4.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.86/4.95 % (916880)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1747697299:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 32.86/4.95 % (916880)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.86/4.95 % (916880)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 32.86/4.95 % (916884)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2338098348:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 32.86/4.95 % Exception at run slice level
% 32.86/4.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.86/4.95 % (916887)ott-2_1_sil=16000:newcnf=on:random_seed=2025817883:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 32.86/4.95 % (916887)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 32.86/4.95 % (916869)Instruction limit reached!
% 32.86/4.95 % (916869)------------------------------
% 32.86/4.95 % (916869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.86/4.95 % (916869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.86/4.95 % (916869)CaDiCaL version: 2.1.3
% 32.86/4.95 % (916869)Termination reason: Instruction limit
% 32.86/4.95 % (916869)Termination phase: Saturation
% 32.86/4.95 % (916869)Time elapsed: 0.325 s
% 32.86/4.95 % (916869)Peak memory usage: 14 MB
% 32.86/4.95 % (916869)Instructions burned: 692 (million)
% 32.86/4.95 % (916889)ott+10_1_sil=32000:tgt=ground:random_seed=2290458247:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 32.86/4.95 % (916871)Instruction limit reached!
% 32.86/4.95 % (916871)------------------------------
% 32.86/4.95 % (916871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.86/4.95 % (916871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.86/4.95 % (916871)CaDiCaL version: 2.1.3
% 32.86/4.95 % (916871)Termination reason: Instruction limit
% 32.86/4.95 % (916871)Termination phase: Saturation
% 32.86/4.95 % (916871)Time elapsed: 0.424 s
% 32.86/4.95 % (916871)Peak memory usage: 14 MB
% 32.86/4.95 % (916871)Instructions burned: 880 (million)
% 32.86/4.95 % (916891)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4040599295:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 32.86/4.95 % Exception at run slice level
% 32.86/4.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 32.86/4.95 % (916893)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1375146913:i=3512:aac=none_2993 on theBenchmark for (2993ds/3512Mi)
% 89.70/12.91 % (916887)Instruction limit reached!
% 89.70/12.91 % (916887)------------------------------
% 89.70/12.91 % (916887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916887)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916887)Termination reason: Instruction limit
% 89.70/12.91 % (916887)Termination phase: Saturation
% 89.70/12.91 % (916887)Time elapsed: 0.208 s
% 89.70/12.91 % (916887)Peak memory usage: 13 MB
% 89.70/12.91 % (916887)Instructions burned: 873 (million)
% 89.70/12.91 % (916893)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.70/12.91 % (916895)dis+21_1_sil=32000:sas=cadical:random_seed=1521541183:i=3773:amm=off_2993 on theBenchmark for (2993ds/3773Mi)
% 89.70/12.91 % (916880)Instruction limit reached!
% 89.70/12.91 % (916880)------------------------------
% 89.70/12.91 % (916880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916880)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916880)Termination reason: Instruction limit
% 89.70/12.91 % (916880)Termination phase: Saturation
% 89.70/12.91 % (916880)Time elapsed: 0.748 s
% 89.70/12.91 % (916880)Peak memory usage: 18 MB
% 89.70/12.91 % (916880)Instructions burned: 1472 (million)
% 89.70/12.91 % (916897)ott+11_1_sil=16000:gs=on:random_seed=138957199:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 89.70/12.91 % (916897)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.70/12.91 % (916895)Instruction limit reached!
% 89.70/12.91 % (916895)------------------------------
% 89.70/12.91 % (916895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916895)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916895)Termination reason: Instruction limit
% 89.70/12.91 % (916895)Termination phase: Saturation
% 89.70/12.91 % (916895)Time elapsed: 0.853 s
% 89.70/12.91 % (916895)Peak memory usage: 15 MB
% 89.70/12.91 % (916895)Instructions burned: 3777 (million)
% 89.70/12.91 % (916899)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2116864856:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 89.70/12.91 % Exception at run slice level
% 89.70/12.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.70/12.91 % (916901)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1823654239:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 89.70/12.91 % (916897)Instruction limit reached!
% 89.70/12.91 % (916897)------------------------------
% 89.70/12.91 % (916897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916897)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916897)Termination reason: Instruction limit
% 89.70/12.91 % (916897)Termination phase: Saturation
% 89.70/12.91 % (916897)Time elapsed: 0.928 s
% 89.70/12.91 % (916897)Peak memory usage: 14 MB
% 89.70/12.91 % (916897)Instructions burned: 2253 (million)
% 89.70/12.91 % (916903)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4060691355:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 89.70/12.91 % (916893)Instruction limit reached!
% 89.70/12.91 % (916893)------------------------------
% 89.70/12.91 % (916893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916893)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916893)Termination reason: Instruction limit
% 89.70/12.91 % (916893)Termination phase: Saturation
% 89.70/12.91 % (916893)Time elapsed: 1.498 s
% 89.70/12.91 % (916893)Peak memory usage: 15 MB
% 89.70/12.91 % (916893)Instructions burned: 3512 (million)
% 89.70/12.91 % (916905)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=867307349:i=5211_2978 on theBenchmark for (2978ds/5211Mi)
% 89.70/12.91 % (916877)Instruction limit reached!
% 89.70/12.91 % (916877)------------------------------
% 89.70/12.91 % (916877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916877)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916877)Termination reason: Instruction limit
% 89.70/12.91 % (916877)Termination phase: Saturation
% 89.70/12.91 % (916877)Time elapsed: 2.159 s
% 89.70/12.91 % (916877)Peak memory usage: 16 MB
% 89.70/12.91 % (916877)Instructions burned: 5131 (million)
% 89.70/12.91 % (916907)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3532448759:i=5497:nm=2_2974 on theBenchmark for (2974ds/5497Mi)
% 89.70/12.91 % Exception at run slice level
% 89.70/12.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.70/12.91 % (916909)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=896528735:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 89.70/12.91 % Exception at run slice level
% 89.70/12.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.70/12.91 % (916911)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1557761279:i=14071_2973 on theBenchmark for (2973ds/14071Mi)
% 89.70/12.91 % Exception at run slice level
% 89.70/12.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.70/12.91 % (916889)Instruction limit reached!
% 89.70/12.91 % (916889)------------------------------
% 89.70/12.91 % (916889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916889)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916889)Termination reason: Instruction limit
% 89.70/12.91 % (916889)Termination phase: Saturation
% 89.70/12.91 % (916889)Time elapsed: 2.156 s
% 89.70/12.91 % (916889)Peak memory usage: 16 MB
% 89.70/12.91 % (916889)Instructions burned: 5115 (million)
% 89.70/12.91 % (916913)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2307713494:i=22565:add=on:rawr=on_2973 on theBenchmark for (2973ds/22565Mi)
% 89.70/12.91 % (916901)Instruction limit reached!
% 89.70/12.91 % (916901)------------------------------
% 89.70/12.91 % (916901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916901)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916901)Termination reason: Instruction limit
% 89.70/12.91 % (916901)Termination phase: Saturation
% 89.70/12.91 % (916901)Time elapsed: 1.124 s
% 89.70/12.91 % (916901)Peak memory usage: 22 MB
% 89.70/12.91 % (916901)Instructions burned: 4595 (million)
% 89.70/12.91 % (916915)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2569783177:i=8173:av=off_2973 on theBenchmark for (2973ds/8173Mi)
% 89.70/12.91 % (916916)dis+10_16:1_sil=16000:random_seed=2508728455:i=9155:fsr=off_2973 on theBenchmark for (2973ds/9155Mi)
% 89.70/12.91 % (916905)Instruction limit reached!
% 89.70/12.91 % (916905)------------------------------
% 89.70/12.91 % (916905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916905)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916905)Termination reason: Instruction limit
% 89.70/12.91 % (916905)Termination phase: Saturation
% 89.70/12.91 % (916905)Time elapsed: 2.250 s
% 89.70/12.91 % (916905)Peak memory usage: 19 MB
% 89.70/12.91 % (916905)Instructions burned: 5213 (million)
% 89.70/12.91 % (916919)ott-3_8_sil=64000:random_seed=361197654:i=20139:bs=on_2955 on theBenchmark for (2955ds/20139Mi)
% 89.70/12.91 % (916916)Instruction limit reached!
% 89.70/12.91 % (916916)------------------------------
% 89.70/12.91 % (916916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916916)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916916)Termination reason: Instruction limit
% 89.70/12.91 % (916916)Termination phase: Saturation
% 89.70/12.91 % (916916)Time elapsed: 1.984 s
% 89.70/12.91 % (916916)Peak memory usage: 17 MB
% 89.70/12.91 % (916916)Instructions burned: 9158 (million)
% 89.70/12.91 % (916921)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3886688041:fmbsr=2:i=32576_2953 on theBenchmark for (2953ds/32576Mi)
% 89.70/12.91 % Exception at run slice level
% 89.70/12.91 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.70/12.91 % (916923)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3497772796:i=11404_2952 on theBenchmark for (2952ds/11404Mi)
% 89.70/12.91 % (916915)Instruction limit reached!
% 89.70/12.91 % (916915)------------------------------
% 89.70/12.91 % (916915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916915)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916915)Termination reason: Instruction limit
% 89.70/12.91 % (916915)Termination phase: Saturation
% 89.70/12.91 % (916915)Time elapsed: 3.439 s
% 89.70/12.91 % (916915)Peak memory usage: 19 MB
% 89.70/12.91 % (916915)Instructions burned: 8173 (million)
% 89.70/12.91 % (916925)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=703668869:i=14134_2938 on theBenchmark for (2938ds/14134Mi)
% 89.70/12.91 % (916925)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.70/12.91 % (916923)Instruction limit reached!
% 89.70/12.91 % (916923)------------------------------
% 89.70/12.91 % (916923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916923)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916923)Termination reason: Instruction limit
% 89.70/12.91 % (916923)Termination phase: Saturation
% 89.70/12.91 % (916923)Time elapsed: 2.490 s
% 89.70/12.91 % (916923)Peak memory usage: 23 MB
% 89.70/12.91 % (916923)Instructions burned: 11408 (million)
% 89.70/12.91 % (916928)dis+33_16_sil=32000:sac=on:random_seed=965807896:i=15851:nm=0_2927 on theBenchmark for (2927ds/15851Mi)
% 89.70/12.91 % (916928)Instruction limit reached!
% 89.70/12.91 % (916928)------------------------------
% 89.70/12.91 % (916928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916928)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916928)Termination reason: Instruction limit
% 89.70/12.91 % (916928)Termination phase: Saturation
% 89.70/12.91 % (916928)Time elapsed: 4.443 s
% 89.70/12.91 % (916928)Peak memory usage: 24 MB
% 89.70/12.91 % (916928)Instructions burned: 15860 (million)
% 89.70/12.91 % (917380)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2222242071:avsq=on:i=17627:add=on:amm=off_2883 on theBenchmark for (2883ds/17627Mi)
% 89.70/12.91 % (916925)Instruction limit reached!
% 89.70/12.91 % (916925)------------------------------
% 89.70/12.91 % (916925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.91 % (916925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.91 % (916925)CaDiCaL version: 2.1.3
% 89.70/12.91 % (916925)Termination reason: Instruction limit
% 89.70/12.91 % (916925)Termination phase: Saturation
% 89.70/12.91 % (916925)Time elapsed: 6.411 s
% 89.70/12.91 % (916925)Peak memory usage: 24 MB
% 89.70/12.91 % (916925)Instructions burned: 14136 (million)
% 89.70/12.91 % (917382)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1632871846:s2a=on:i=53295_2874 on theBenchmark for (2874ds/53295Mi)
% 89.70/12.91 % (916913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-916834-916913"...
% 89.70/12.91 % (916913)...printing done.
% 89.70/12.91 % (916913)Refutation found. Thanks to Tanya!
% 89.70/12.91 % SZS status Theorem for theBenchmark
% 89.70/12.91 % SZS output start Proof for theBenchmark
% See solution above
% 89.70/12.92 % (916913)------------------------------
% 89.70/12.92 % (916913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.70/12.92 % (916913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.70/12.92 % (916913)CaDiCaL version: 2.1.3
% 89.70/12.92 % (916913)Termination reason: Refutation
% 89.70/12.92 % (916913)Time elapsed: 9.978 s
% 89.70/12.92 % (916913)Peak memory usage: 31 MB
% 89.70/12.92 % (916913)Instructions burned: 20857 (million)
% 89.70/12.92 % (916834)Success in time 12.678 s
% 89.70/12.92 % Vampire exiting
%------------------------------------------------------------------------------