%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : AGT035^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 07:44:41 AM UTC 2026
% Result : Theorem 73.79s 10.72s
% Output : Refutation 73.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 18
% Syntax : Number of formulae : 223 ( 114 unt; 0 typ; 2 def)
% Number of atoms : 1752 ( 417 equ; 0 cnn)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 3240 ( 333 ~; 410 |; 0 &;2363 @)
% ( 2 <=>; 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 : 161 ( 161 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 64 usr; 11 con; 0-4 aty)
% ( 132 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 683 ( 0 sgn 314 !; 0 ?; 683 :)
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^0.ax',mand) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(f39,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X0 @ pepsi ) @ ( likes @ X0 @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(f41,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(f42,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(f44,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X0 @ X1 ) @ ( mand @ ( mbox @ a1 @ ( likes @ X0 @ X1 ) ) @ ( mbox @ a2 @ ( likes @ X0 @ X1 ) ) ) ) @ ( very_much_likes @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(f46,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X0 @ X1 ) ) @ ( likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(f50,conjecture,
mvalid @ ( likes @ jan @ cola ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f51,negated_conjecture,
~ ( mvalid @ ( likes @ jan @ cola ) ),
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(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(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 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f51]) ).
thf(f140,plain,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
inference(fool_elimination,[],[f139]) ).
thf(f141,plain,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
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(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(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,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
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(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(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 ) )
@ ( likes @ jan @ cola ) ) ),
inference(definition_unfolding,[],[f191,f169]) ).
thf(f222,plain,
( $true
!= ( !! @ $i @ ( likes @ jan @ cola ) ) ),
inference(beta-eta_normalization,[],[f221]) ).
thf(f223,plain,
( $false
= ( likes @ jan @ cola @ sK0 ) ),
inference(sigma_proxy_clausification,[],[f222]) ).
thf(f269,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(f270,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,[],[f269]) ).
thf(f271,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,[],[f270]) ).
thf(f272,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,[],[f271]) ).
thf(f273,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,[],[f272]) ).
thf(f274,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,[],[f273]) ).
thf(f275,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,[],[f274]) ).
thf(f276,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,[],[f275]) ).
thf(f277,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,[],[f276]) ).
thf(f278,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,[],[f277]) ).
thf(f279,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,[],[f278]) ).
thf(f280,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,[],[f279]) ).
thf(f281,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,[],[f280]) ).
thf(f282,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,[],[f281]) ).
thf(f283,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,[],[f282]) ).
thf(f298,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(f299,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,[],[f298]) ).
thf(f300,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,[],[f299]) ).
thf(f301,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,[],[f300]) ).
thf(f302,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,[],[f301]) ).
thf(f303,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,[],[f302]) ).
thf(f304,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,[],[f303]) ).
thf(f305,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,[],[f304]) ).
thf(f306,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,[],[f305]) ).
thf(f307,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,[],[f306]) ).
thf(f308,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,[],[f307]) ).
thf(f309,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,[],[f308]) ).
thf(f310,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,[],[f309]) ).
thf(f311,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,[],[f310]) ).
thf(f312,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,[],[f311]) ).
thf(f313,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,[],[f312]) ).
thf(f314,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,[],[f313]) ).
thf(f315,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,[],[f314]) ).
thf(f316,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,[],[f315]) ).
thf(f317,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,[],[f316]) ).
thf(f318,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,[],[f317]) ).
thf(f319,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,[],[f318]) ).
thf(f320,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,[],[f319]) ).
thf(f321,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,[],[f320]) ).
thf(f322,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,[],[f321]) ).
thf(f323,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,[],[f321]) ).
thf(f324,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,[],[f323]) ).
thf(f325,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,[],[f324]) ).
thf(f326,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,[],[f324]) ).
thf(f327,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,[],[f326]) ).
thf(f328,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,[],[f322]) ).
thf(f329,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,[],[f322]) ).
thf(f330,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,[],[f329]) ).
thf(f341,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f342,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f341]) ).
thf(f343,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f342]) ).
thf(f344,plain,
! [X1: $i] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f343]) ).
thf(f345,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ~ ( likes @ piotr @ pepsi @ Y0 ) )
@ ( sK5 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f344]) ).
thf(f346,plain,
! [X1: $i] :
( $false
= ( ~ ( a3 @ X1 @ ( sK5 @ X1 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f345]) ).
thf(f348,plain,
! [X1: $i] :
( $false
= ( ~ ( a3 @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f346]) ).
thf(f349,plain,
! [X1: $i] :
( $true
= ( a3 @ X1 @ ( sK5 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f348]) ).
thf(f351,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f352,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a3 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f351]) ).
thf(f353,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f352]) ).
thf(f354,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a3 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f353]) ).
thf(f355,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a3 @ X1 @ X2 )
| ( likes @ jan @ cola @ X2 ) ) ),
inference(beta-eta_normalization,[],[f354]) ).
thf(f356,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $true
= ( ~ ( a3 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f355]) ).
thf(f357,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $false
= ( a3 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f356]) ).
thf(f369,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(f370,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,[],[f369]) ).
thf(f371,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,[],[f370]) ).
thf(f372,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,[],[f371]) ).
thf(f373,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ pepsi @ Y0 )
| ( likes @ X2 @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f372]) ).
thf(f374,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,[],[f373]) ).
thf(f375,plain,
! [X2: mu,X3: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X3 )
| ~ ( likes @ X2 @ pepsi @ X3 )
| ( likes @ X2 @ cola @ X3 ) ) ),
inference(beta-eta_normalization,[],[f374]) ).
thf(f376,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( likes @ X2 @ pepsi @ X3 )
| ( likes @ X2 @ cola @ X3 ) ) )
| ( $true
= ( ~ ( a2 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f375]) ).
thf(f377,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,[],[f376]) ).
thf(f378,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,[],[f377]) ).
thf(f379,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,[],[f378]) ).
thf(f394,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f395,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f394]) ).
thf(f396,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f395]) ).
thf(f397,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f396]) ).
thf(f398,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X2 )
| ( likes @ jan @ pepsi @ X2 ) ) ),
inference(beta-eta_normalization,[],[f397]) ).
thf(f399,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ pepsi @ X2 ) )
| ( $true
= ( ~ ( a2 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f398]) ).
thf(f400,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ pepsi @ X2 ) )
| ( $false
= ( a2 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f399]) ).
thf(f442,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f443,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ( likes @ jan @ cola @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f442]) ).
thf(f444,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f443]) ).
thf(f445,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ( likes @ jan @ cola @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f444]) ).
thf(f446,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a1 @ X1 @ X2 )
| ( likes @ jan @ cola @ X2 ) ) ),
inference(beta-eta_normalization,[],[f445]) ).
thf(f447,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $true
= ( ~ ( a1 @ X1 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f446]) ).
thf(f448,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( $false
= ( a1 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f447]) ).
thf(f488,definition,
( spl6_3
<=> ! [X2: $i] :
( $true
= ( likes @ jan @ cola @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f489,plain,
( ! [X2: $i] :
( $true
= ( likes @ jan @ cola @ X2 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f488]) ).
thf(f497,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f349,f357]) ).
thf(f498,plain,
! [X0: $i] :
( $true
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f497]) ).
thf(f513,plain,
( ( $true = $false )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f489,f223]) ).
thf(f517,plain,
( $false
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f513]) ).
thf(f518,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[],[f517]) ).
thf(f820,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,[],[f349,f283]) ).
thf(f825,plain,
! [X2: mu,X0: $i,X1: mu] :
( ( $false
= ( very_much_likes @ X1 @ X2 @ ( sK5 @ X0 ) ) )
| ( $true
= ( likes @ X1 @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f3397,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,[],[f400,f379]) ).
thf(f3416,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( a2 @ X1 @ X0 ) )
| ( $false
= ( a2 @ X2 @ X0 ) )
| ( $true
= ( likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f3397]) ).
thf(f6236,plain,
! [X0: $i,X1: $i] :
( ( $false != $false )
| ( $false
= ( a2 @ X0 @ X1 ) )
| ( $true
= ( likes @ jan @ cola @ X1 ) ) ),
inference(equality_factoring,[],[f3416]) ).
thf(f6237,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a2 @ X0 @ X1 ) )
| ( $true
= ( likes @ jan @ cola @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f6236]) ).
thf(f7177,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( a2 @ X2 @ ( sK2 @ cola @ jan @ X0 ) ) ) ),
inference(constrained_superposition,[],[f330,f6237]) ).
thf(f7182,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a2 @ X2 @ ( sK2 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f7177]) ).
thf(f13297,definition,
( spl6_120
<=> ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_120])],[avatar_definition]) ).
thf(f13298,plain,
( ! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f13297]) ).
thf(f13334,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ X0 ) ) )
| ~ spl6_120 ),
inference(constrained_superposition,[],[f825,f13298]) ).
thf(f13341,plain,
( ! [X0: $i] :
( $true
= ( likes @ jan @ cola @ X0 ) )
| ~ spl6_120 ),
inference(trivial_inequality_removal,[],[f13334]) ).
thf(f13351,plain,
( spl6_3
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f13341,f13297,f488]) ).
thf(f54890,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 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) ) ),
inference(constrained_superposition,[],[f327,f7182]) ).
thf(f54897,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,[],[f54890]) ).
thf(f54898,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,[],[f54897]) ).
thf(f55037,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X2 @ X0 ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(global_subsumption,[],[f54898]) ).
thf(f55172,plain,
! [X0: $i,X1: $i] :
( ( $false != $false )
| ( $true
= ( a1 @ X1 @ ( sK3 @ cola @ jan @ X1 ) ) )
| ( $false
= ( a3 @ X0 @ X1 ) )
| ( $false
= ( likes @ jan @ cola @ X1 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X1 ) ) ),
inference(equality_factoring,[],[f55037]) ).
thf(f55173,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( a1 @ X1 @ ( sK3 @ cola @ jan @ X1 ) ) )
| ( $false
= ( a3 @ X0 @ X1 ) )
| ( $false
= ( likes @ jan @ cola @ X1 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f55172]) ).
thf(f55323,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ X0 ) ) ) ),
inference(constrained_superposition,[],[f55173,f448]) ).
thf(f55554,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f55323]) ).
thf(f61535,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ X0 ) ) )
| ( $false
= ( a3 @ X1 @ X0 ) )
| ( $false
= ( likes @ jan @ cola @ X0 ) )
| ( $true
= ( very_much_likes @ jan @ cola @ X0 ) ) ),
inference(global_subsumption,[],[f55554]) ).
thf(f67623,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f349,f61535]) ).
thf(f67626,plain,
! [X0: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $false
= ( likes @ jan @ cola @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f67623]) ).
thf(f67652,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,[],[f67626,f498]) ).
thf(f67653,plain,
! [X0: $i] :
( ( $true
= ( likes @ jan @ cola @ ( sK3 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f67652]) ).
thf(f68254,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,[],[f328,f67653]) ).
thf(f68255,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,[],[f325,f67653]) ).
thf(f68256,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,[],[f68255]) ).
thf(f68257,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,[],[f68256]) ).
thf(f68258,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,[],[f68254]) ).
thf(f68259,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,[],[f68258]) ).
thf(f68276,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,[],[f68257,f498]) ).
thf(f68277,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,[],[f68276]) ).
thf(f68278,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,[],[f68259,f498]) ).
thf(f68279,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,[],[f68278]) ).
thf(f68353,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,[],[f349,f68279]) ).
thf(f68354,plain,
! [X0: $i] :
( ( $false
= ( likes @ jan @ cola @ ( sK2 @ cola @ jan @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68353]) ).
thf(f68392,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,[],[f6237,f68354]) ).
thf(f68409,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,[],[f68392]) ).
thf(f68434,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,[],[f68277,f68409]) ).
thf(f68435,plain,
! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[],[f68434]) ).
thf(f68436,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a3 @ X1 @ ( sK5 @ X0 ) ) )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f68435]) ).
thf(f68479,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f349,f68436]) ).
thf(f68506,plain,
! [X0: $i] :
( $true
= ( very_much_likes @ jan @ cola @ ( sK5 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f68479]) ).
thf(f68522,plain,
spl6_120,
inference(avatar_split_clause,[],[f68506,f13297]) ).
cnf(s55,plain,
~ spl6_3,
inference(sat_conversion,[],[f518]) ).
cnf(s4125,plain,
( spl6_3
| ~ spl6_120 ),
inference(sat_conversion,[],[f13351]) ).
cnf(s15356,plain,
spl6_120,
inference(sat_conversion,[],[f68522]) ).
cnf(s15357,plain,
spl6_3,
inference(rat,[],[s4125,s15356]) ).
cnf(s15364,plain,
$false,
inference(rat,[],[s55,s15357]) ).
thf(f68523,plain,
$false,
inference(avatar_sat_refutation,[],[s15364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT035^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 % Computer : n006.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8046.5625MB
% 0.08/0.24 % OS : Linux 6.8.0-71-generic
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Tue Sep 29 17:30:24 UTC 2026
% 0.08/0.24 % CPUTime :
% 0.08/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.03/1.51 % (1056866)Will run a generic schedule for satisfiability detection.
% 8.03/1.51 % (1056872)% WARNING: option uhcvi not known.
% 8.03/1.51 % (1056875)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2443477448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.03/1.51 % (1056872)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1105187549:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.03/1.51 % (1056875)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.03/1.51 % (1056872)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.03/1.51 % (1056871)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2264910707_2999 on theBenchmark for (2999ds/0Mi)
% 8.03/1.51 % (1056877)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2388499519:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.03/1.51 % (1056876)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1214780838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.51 % (1056872)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.03/1.51 % Exception at run slice level
% 8.03/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.03/1.51 % (1056873)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1923533429:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.03/1.51 % (1056874)dis+10_1_sil=32000:sp=arity:random_seed=2645863100:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.03/1.51 % (1056875)Instruction limit reached!
% 8.03/1.51 % (1056875)------------------------------
% 8.03/1.51 % (1056875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.51 % (1056875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.51 % (1056875)CaDiCaL version: 2.1.3
% 8.03/1.51 % (1056875)Termination reason: Instruction limit
% 8.03/1.51 % (1056875)Termination phase: Saturation
% 8.03/1.51 % (1056875)Time elapsed: 0.052 s
% 8.03/1.51 % (1056875)Peak memory usage: 12 MB
% 8.03/1.51 % (1056875)Instructions burned: 118 (million)
% 8.03/1.51 % (1056883)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=421795453:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.03/1.51 % Exception at run slice level
% 8.03/1.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 8.03/1.51 % (1056886)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=198811391:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.51 % (1056888)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=1744348983:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.03/1.51 % (1056888)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 8.03/1.51 % (1056888)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 8.03/1.51 % (1056876)Instruction limit reached!
% 8.03/1.51 % (1056876)------------------------------
% 8.03/1.51 % (1056876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.51 % (1056876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.51 % (1056876)CaDiCaL version: 2.1.3
% 8.03/1.51 % (1056876)Termination reason: Instruction limit
% 8.03/1.51 % (1056876)Termination phase: Saturation
% 8.03/1.51 % (1056876)Time elapsed: 0.110 s
% 8.03/1.51 % (1056876)Peak memory usage: 12 MB
% 8.03/1.51 % (1056876)Instructions burned: 131 (million)
% 8.03/1.51 % (1056874)Instruction limit reached!
% 8.03/1.51 % (1056874)------------------------------
% 8.03/1.51 % (1056874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.51 % (1056874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.51 % (1056874)CaDiCaL version: 2.1.3
% 8.03/1.51 % (1056874)Termination reason: Instruction limit
% 8.03/1.51 % (1056874)Termination phase: Saturation
% 8.03/1.51 % (1056874)Time elapsed: 0.090 s
% 8.03/1.51 % (1056874)Peak memory usage: 12 MB
% 8.03/1.51 % (1056874)Instructions burned: 103 (million)
% 8.03/1.51 % (1056886)Instruction limit reached!
% 8.03/1.51 % (1056886)------------------------------
% 8.03/1.51 % (1056886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.50/4.27 % (1056886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.27 % (1056886)CaDiCaL version: 2.1.3
% 27.50/4.27 % (1056886)Termination reason: Instruction limit
% 27.50/4.27 % (1056886)Termination phase: Saturation
% 27.50/4.27 % (1056886)Time elapsed: 0.060 s
% 27.50/4.27 % (1056886)Peak memory usage: 12 MB
% 27.50/4.27 % (1056886)Instructions burned: 133 (million)
% 27.50/4.27 % (1056877)Instruction limit reached!
% 27.50/4.27 % (1056877)------------------------------
% 27.50/4.27 % (1056877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.50/4.27 % (1056877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.27 % (1056877)CaDiCaL version: 2.1.3
% 27.50/4.27 % (1056877)Termination reason: Instruction limit
% 27.50/4.27 % (1056877)Termination phase: Saturation
% 27.50/4.27 % (1056877)Time elapsed: 0.138 s
% 27.50/4.27 % (1056877)Peak memory usage: 12 MB
% 27.50/4.27 % (1056877)Instructions burned: 159 (million)
% 27.50/4.27 % (1056891)ott-21_1_sil=16000:fs=off:random_seed=472476944:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 27.50/4.27 % (1056892)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=295034581:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 27.50/4.27 % (1056893)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=171729638:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 27.50/4.27 % Exception at run slice level
% 27.50/4.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.50/4.27 % (1056894)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2701042387:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 27.50/4.27 % (1056898)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=59933994:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 27.50/4.27 % Exception at run slice level
% 27.50/4.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.50/4.27 % (1056901)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=2985667251:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 27.50/4.28 % (1056901)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 27.50/4.28 % (1056891)Instruction limit reached!
% 27.50/4.28 % (1056891)------------------------------
% 27.50/4.28 % (1056891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.50/4.28 % (1056891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.28 % (1056891)CaDiCaL version: 2.1.3
% 27.50/4.28 % (1056891)Termination reason: Instruction limit
% 27.50/4.28 % (1056891)Termination phase: Saturation
% 27.50/4.28 % (1056891)Time elapsed: 0.146 s
% 27.50/4.28 % (1056891)Peak memory usage: 12 MB
% 27.50/4.28 % (1056891)Instructions burned: 181 (million)
% 27.50/4.28 % (1056903)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3469159190:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 27.50/4.28 % (1056903)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 27.50/4.28 % (1056901)Instruction limit reached!
% 27.50/4.28 % (1056901)------------------------------
% 27.50/4.28 % (1056901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.50/4.28 % (1056901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.50/4.28 % (1056901)CaDiCaL version: 2.1.3
% 27.50/4.28 % (1056901)Termination reason: Instruction limit
% 27.50/4.28 % (1056901)Termination phase: Saturation
% 27.50/4.28 % (1056901)Time elapsed: 0.314 s
% 27.50/4.28 % (1056901)Peak memory usage: 14 MB
% 27.50/4.28 % (1056901)Instructions burned: 693 (million)
% 27.50/4.28 % (1056905)fmb+10_1_sil=64000:random_seed=3073114459:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 27.50/4.28 % (1056905)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 27.50/4.28 % Exception at run slice level
% 27.50/4.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.50/4.28 % (1056907)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2744919572:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 27.50/4.28 % Exception at run slice level
% 27.50/4.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056892)Instruction limit reached!
% 73.79/10.72 % (1056892)------------------------------
% 73.79/10.72 % (1056892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056892)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056892)Termination reason: Instruction limit
% 73.79/10.72 % (1056892)Termination phase: Saturation
% 73.79/10.72 % (1056892)Time elapsed: 0.431 s
% 73.79/10.72 % (1056892)Peak memory usage: 13 MB
% 73.79/10.72 % (1056892)Instructions burned: 478 (million)
% 73.79/10.72 % (1056910)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2916491098:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 73.79/10.72 % (1056909)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=720733882:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 73.79/10.72 % (1056910)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056913)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3338762095:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 73.79/10.72 % (1056913)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 73.79/10.72 % (1056913)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.72 % (1056888)Instruction limit reached!
% 73.79/10.72 % (1056888)------------------------------
% 73.79/10.72 % (1056888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056888)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056888)Termination reason: Instruction limit
% 73.79/10.72 % (1056888)Termination phase: Saturation
% 73.79/10.72 % (1056888)Time elapsed: 0.563 s
% 73.79/10.72 % (1056888)Peak memory usage: 14 MB
% 73.79/10.72 % (1056888)Instructions burned: 685 (million)
% 73.79/10.72 % (1056915)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1262753500:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056917)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1490154350:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056919)ott-2_1_sil=16000:newcnf=on:random_seed=450687032:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 73.79/10.72 % (1056919)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 73.79/10.72 % (1056903)Instruction limit reached!
% 73.79/10.72 % (1056903)------------------------------
% 73.79/10.72 % (1056903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056903)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056903)Termination reason: Instruction limit
% 73.79/10.72 % (1056903)Termination phase: Saturation
% 73.79/10.72 % (1056903)Time elapsed: 0.744 s
% 73.79/10.72 % (1056903)Peak memory usage: 14 MB
% 73.79/10.72 % (1056903)Instructions burned: 879 (million)
% 73.79/10.72 % (1056921)ott+10_1_sil=32000:tgt=ground:random_seed=819645081:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 73.79/10.72 % (1056894)Instruction limit reached!
% 73.79/10.72 % (1056894)------------------------------
% 73.79/10.72 % (1056894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056894)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056894)Termination reason: Instruction limit
% 73.79/10.72 % (1056894)Termination phase: Saturation
% 73.79/10.72 % (1056894)Time elapsed: 0.950 s
% 73.79/10.72 % (1056894)Peak memory usage: 13 MB
% 73.79/10.72 % (1056894)Instructions burned: 1180 (million)
% 73.79/10.72 % (1056923)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1816298682:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056925)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1400941651:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 73.79/10.72 % (1056925)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.72 % (1056919)Instruction limit reached!
% 73.79/10.72 % (1056919)------------------------------
% 73.79/10.72 % (1056919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056919)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056919)Termination reason: Instruction limit
% 73.79/10.72 % (1056919)Termination phase: Saturation
% 73.79/10.72 % (1056919)Time elapsed: 0.690 s
% 73.79/10.72 % (1056919)Peak memory usage: 13 MB
% 73.79/10.72 % (1056919)Instructions burned: 869 (million)
% 73.79/10.72 % (1056927)dis+21_1_sil=32000:sas=cadical:random_seed=2913564330:i=3773:amm=off_2984 on theBenchmark for (2984ds/3773Mi)
% 73.79/10.72 % (1056913)Instruction limit reached!
% 73.79/10.72 % (1056913)------------------------------
% 73.79/10.72 % (1056913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056913)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056913)Termination reason: Instruction limit
% 73.79/10.72 % (1056913)Termination phase: Saturation
% 73.79/10.72 % (1056913)Time elapsed: 1.265 s
% 73.79/10.72 % (1056913)Peak memory usage: 19 MB
% 73.79/10.72 % (1056913)Instructions burned: 1473 (million)
% 73.79/10.72 % (1056929)ott+11_1_sil=16000:gs=on:random_seed=634309040:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2980 on theBenchmark for (2980ds/2251Mi)
% 73.79/10.72 % (1056929)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 73.79/10.72 % (1056910)Instruction limit reached!
% 73.79/10.72 % (1056910)------------------------------
% 73.79/10.72 % (1056910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056910)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056910)Termination reason: Instruction limit
% 73.79/10.72 % (1056910)Termination phase: Saturation
% 73.79/10.72 % (1056910)Time elapsed: 2.056 s
% 73.79/10.72 % (1056910)Peak memory usage: 16 MB
% 73.79/10.72 % (1056910)Instructions burned: 5132 (million)
% 73.79/10.72 % (1056931)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3598466810:fmbsr=1.6:i=67534_2973 on theBenchmark for (2973ds/67534Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056933)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3603420366:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2972 on theBenchmark for (2972ds/4591Mi)
% 73.79/10.72 % (1056929)Instruction limit reached!
% 73.79/10.72 % (1056929)------------------------------
% 73.79/10.72 % (1056929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056929)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056929)Termination reason: Instruction limit
% 73.79/10.72 % (1056929)Termination phase: Saturation
% 73.79/10.72 % (1056929)Time elapsed: 1.742 s
% 73.79/10.72 % (1056929)Peak memory usage: 13 MB
% 73.79/10.72 % (1056929)Instructions burned: 2254 (million)
% 73.79/10.72 % (1056935)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3407323220:i=29340_2963 on theBenchmark for (2963ds/29340Mi)
% 73.79/10.72 % (1056925)Instruction limit reached!
% 73.79/10.72 % (1056925)------------------------------
% 73.79/10.72 % (1056925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056925)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056925)Termination reason: Instruction limit
% 73.79/10.72 % (1056925)Termination phase: Saturation
% 73.79/10.72 % (1056925)Time elapsed: 2.721 s
% 73.79/10.72 % (1056925)Peak memory usage: 15 MB
% 73.79/10.72 % (1056925)Instructions burned: 3512 (million)
% 73.79/10.72 % (1056937)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2300123171:i=5211_2960 on theBenchmark for (2960ds/5211Mi)
% 73.79/10.72 % (1056927)Instruction limit reached!
% 73.79/10.72 % (1056927)------------------------------
% 73.79/10.72 % (1056927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056927)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056927)Termination reason: Instruction limit
% 73.79/10.72 % (1056927)Termination phase: Saturation
% 73.79/10.72 % (1056927)Time elapsed: 2.880 s
% 73.79/10.72 % (1056927)Peak memory usage: 16 MB
% 73.79/10.72 % (1056927)Instructions burned: 3774 (million)
% 73.79/10.72 % (1056941)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3541528972:i=5497:nm=2_2955 on theBenchmark for (2955ds/5497Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056943)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3698928922:fmbsr=2:i=46332_2955 on theBenchmark for (2955ds/46332Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056945)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=4023804881:i=14071_2955 on theBenchmark for (2955ds/14071Mi)
% 73.79/10.72 % Exception at run slice level
% 73.79/10.72 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 73.79/10.72 % (1056947)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1871137099:i=22565:add=on:rawr=on_2954 on theBenchmark for (2954ds/22565Mi)
% 73.79/10.72 % (1056933)Instruction limit reached!
% 73.79/10.72 % (1056933)------------------------------
% 73.79/10.72 % (1056933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056933)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056933)Termination reason: Instruction limit
% 73.79/10.72 % (1056933)Termination phase: Saturation
% 73.79/10.72 % (1056933)Time elapsed: 1.942 s
% 73.79/10.72 % (1056933)Peak memory usage: 32 MB
% 73.79/10.72 % (1056933)Instructions burned: 4593 (million)
% 73.79/10.72 % (1056949)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=1910959346:i=8173:av=off_2953 on theBenchmark for (2953ds/8173Mi)
% 73.79/10.72 % (1056921)Instruction limit reached!
% 73.79/10.72 % (1056921)------------------------------
% 73.79/10.72 % (1056921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056921)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056921)Termination reason: Instruction limit
% 73.79/10.72 % (1056921)Termination phase: Saturation
% 73.79/10.72 % (1056921)Time elapsed: 3.904 s
% 73.79/10.72 % (1056921)Peak memory usage: 16 MB
% 73.79/10.72 % (1056921)Instructions burned: 5114 (million)
% 73.79/10.72 % (1056951)dis+10_16:1_sil=16000:random_seed=3218296960:i=9155:fsr=off_2949 on theBenchmark for (2949ds/9155Mi)
% 73.79/10.72 % (1056937)Instruction limit reached!
% 73.79/10.72 % (1056937)------------------------------
% 73.79/10.72 % (1056937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.72 % (1056937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.72 % (1056937)CaDiCaL version: 2.1.3
% 73.79/10.72 % (1056937)Termination reason: Instruction limit
% 73.79/10.72 % (1056937)Termination phase: Saturation
% 73.79/10.72 % (1056937)Time elapsed: 4.115 s
% 73.79/10.72 % (1056937)Peak memory usage: 19 MB
% 73.79/10.72 % (1056937)Instructions burned: 5211 (million)
% 73.79/10.72 % (1056973)ott-3_8_sil=64000:random_seed=2812840953:i=20139:bs=on_2919 on theBenchmark for (2919ds/20139Mi)
% 73.79/10.72 % (1056947) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1056866-1056947"...
% 73.79/10.72 % (1056947)...printing done.
% 73.79/10.72 % (1056947)Refutation found. Thanks to Tanya!
% 73.79/10.72 % SZS status Theorem for theBenchmark
% 73.79/10.72 % SZS output start Proof for theBenchmark
% See solution above
% 73.79/10.73 % (1056947)------------------------------
% 73.79/10.73 % (1056947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.79/10.73 % (1056947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.79/10.73 % (1056947)CaDiCaL version: 2.1.3
% 73.79/10.73 % (1056947)Termination reason: Refutation
% 73.79/10.73 % (1056947)Time elapsed: 5.869 s
% 73.79/10.73 % (1056947)Peak memory usage: 42 MB
% 73.79/10.73 % (1056947)Instructions burned: 13058 (million)
% 73.79/10.73 % (1056866)Success in time 10.416 s
% 73.79/10.73 % Vampire exiting
%------------------------------------------------------------------------------