%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT031^2 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4yZXu6I0dk true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:14 PM UTC 2025
% Result : Theorem 3.65s 1.09s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 36
% Syntax : Number of formulae : 153 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 654 ( 27 equ; 88 cnn)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 2056 ( 200 ~; 235 |; 0 &;1550 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 23 usr; 8 con; 0-3 aty)
% ( 71 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 373 ( 137 ^; 236 !; 0 ?; 373 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf('#sk2_type',type,
'#sk2': $i > $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(likes_type,type,
likes: mu > mu > $i > $o ).
thf(a1_type,type,
a1: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(piotr_type,type,
piotr: mu ).
thf('#sk4_type',type,
'#sk4': $i > mu > mu > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk5_type',type,
'#sk5': mu > mu > $i > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(pepsi_type,type,
pepsi: mu ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': mu > mu > $i > $i ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(cola_type,type,
cola: mu ).
thf(a2_type,type,
a2: $i > $i > $o ).
thf(a3_type,type,
a3: $i > $i > $o ).
thf(jan_type,type,
jan: mu ).
thf(very_much_likes_type,type,
very_much_likes: mu > mu > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('4',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('5',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom_user_communication_1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: mu,X8: mu] :
( ( very_much_likes @ X6 @ X8 @ X4 )
| ~ ! [X10: $i] :
( ~ ( a3 @ X4 @ X10 )
| ( very_much_likes @ X6 @ X8 @ X10 ) ) ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: mu] :
( ( very_much_likes @ Y1 @ Y2 @ Y0 )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( a3 @ Y0 @ Y3 ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: mu] :
( ( very_much_likes @ Y0 @ Y1 @ X2 )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a3 @ X2 @ Y2 ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl77,plain,
! [X2: $i,X4: mu] :
( !!
@ ^ [Y0: mu] :
( ( very_much_likes @ X4 @ Y0 @ X2 )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a3 @ X2 @ Y1 ) )
| ( very_much_likes @ X4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl78,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( very_much_likes @ X4 @ X6 @ X2 )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( very_much_likes @ X4 @ X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl79,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( very_much_likes @ X4 @ X6 @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( very_much_likes @ X4 @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl80,plain,
! [X2: $i,X4: mu,X6: mu] :
( ~ ( ( (~) @ ( a3 @ X2 @ ( '#sk4' @ X2 @ X4 @ X6 ) ) )
| ( very_much_likes @ X4 @ X6 @ ( '#sk4' @ X2 @ X4 @ X6 ) ) )
| ( very_much_likes @ X4 @ X6 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl82,plain,
! [X2: $i,X4: mu,X6: mu] :
( ~ ( very_much_likes @ X4 @ X6 @ ( '#sk4' @ X2 @ X4 @ X6 ) )
| ( very_much_likes @ X4 @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl81,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( a3 @ X2 @ ( '#sk4' @ X2 @ X4 @ X6 ) )
| ( very_much_likes @ X4 @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl80]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
thf('12',plain,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'3','9']) ).
thf('13',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(axiom_a3_2,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) ).
thf(zf_stmt_1,axiom,
! [X4: $i] :
~ ! [X6: $i] :
( ~ ( a3 @ X4 @ X6 )
| ~ ( likes @ piotr @ pepsi @ X6 ) ) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a3 @ Y0 @ Y1 ) )
| ( (~) @ ( likes @ piotr @ pepsi @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( (~) @ ( likes @ piotr @ pepsi @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
~ ( ( (~) @ ( a3 @ X2 @ ( '#sk2' @ X2 ) ) )
| ( (~) @ ( likes @ piotr @ pepsi @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl42_001,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl42_002,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl42_003,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl42_004,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('14',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'7','9']) ).
thf('15',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(axiom_a3_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: mu,X8: mu,X10: $i] :
( ~ ( a3 @ X4 @ X10 )
| ( very_much_likes @ X6 @ X8 @ X10 )
| ~ ( likes @ X6 @ X8 @ X10 )
| ~ ! [X14: $i] :
( ~ ( a2 @ X10 @ X14 )
| ( likes @ X6 @ X8 @ X14 ) )
| ~ ! [X12: $i] :
( ~ ( a1 @ X10 @ X12 )
| ( likes @ X6 @ X8 @ X12 ) ) ) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: mu] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( a3 @ Y0 @ Y3 ) )
| ( very_much_likes @ Y1 @ Y2 @ Y3 )
| ( (~) @ ( likes @ Y1 @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( a2 @ Y3 @ Y4 ) )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( (~) @ ( a1 @ Y3 @ Y4 ) )
| ( likes @ Y1 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl153,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a3 @ X2 @ Y2 ) )
| ( very_much_likes @ Y0 @ Y1 @ Y2 )
| ( (~) @ ( likes @ Y0 @ Y1 @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( a2 @ Y2 @ Y3 ) )
| ( likes @ Y0 @ Y1 @ Y3 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( a1 @ Y2 @ Y3 ) )
| ( likes @ Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl154,plain,
! [X2: $i,X4: mu] :
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a3 @ X2 @ Y1 ) )
| ( very_much_likes @ X4 @ Y0 @ Y1 )
| ( (~) @ ( likes @ X4 @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a2 @ Y1 @ Y2 ) )
| ( likes @ X4 @ Y0 @ Y2 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a1 @ Y1 @ Y2 ) )
| ( likes @ X4 @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl155,plain,
! [X2: $i,X4: mu,X6: mu] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( very_much_likes @ X4 @ X6 @ Y0 )
| ( (~) @ ( likes @ X4 @ X6 @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a2 @ Y0 @ Y1 ) )
| ( likes @ X4 @ X6 @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a1 @ Y0 @ Y1 ) )
| ( likes @ X4 @ X6 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl154]) ).
thf(zip_derived_cl156,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ( (~) @ ( a3 @ X2 @ X8 ) )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ( (~) @ ( likes @ X4 @ X6 @ X8 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a2 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl157,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a2 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl156]) ).
thf(zip_derived_cl158,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( ( (~) @ ( a2 @ X8 @ ( '#sk5' @ X4 @ X6 @ X8 ) ) )
| ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) )
| ~ ( likes @ X4 @ X6 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( a3 @ X2 @ X8 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl157]) ).
thf(zip_derived_cl159,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ( a2 @ X8 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl161,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( ( (~) @ ( a1 @ X8 @ ( '#sk6' @ X4 @ X6 @ X8 ) ) )
| ( likes @ X4 @ X6 @ ( '#sk6' @ X4 @ X6 @ X8 ) ) )
| ~ ( likes @ X4 @ X6 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( a3 @ X2 @ X8 )
| ( a2 @ X8 @ ( '#sk5' @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl163,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ( a1 @ X8 @ ( '#sk6' @ X4 @ X6 @ X8 ) )
| ( a2 @ X8 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: mu,X2: mu] :
( ~ ( likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl163]) ).
thf(zip_derived_cl42_005,plain,
! [X2: $i] : ( a3 @ X2 @ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl41]) ).
thf(axiom_a3_1,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i,X6: $i] :
( ~ ( a3 @ X4 @ X6 )
| ( likes @ jan @ cola @ X6 ) ) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a3 @ Y0 @ Y1 ) )
| ( likes @ jan @ cola @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl37,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( likes @ jan @ cola @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( a3 @ X2 @ X4 ) )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i] :
( ~ ( a3 @ X2 @ X4 )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl168_006,plain,
! [X0: $i,X1: mu,X2: mu] :
( ~ ( likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl163]) ).
thf(axiom_a2_1,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).
thf(zf_stmt_4,axiom,
! [X4: $i,X6: $i] :
( ~ ( a2 @ X4 @ X6 )
| ( likes @ jan @ pepsi @ X6 ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a2 @ Y0 @ Y1 ) )
| ( likes @ jan @ pepsi @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a2 @ X2 @ Y0 ) )
| ( likes @ jan @ pepsi @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( a2 @ X2 @ X4 ) )
| ( likes @ jan @ pepsi @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ~ ( a2 @ X2 @ X4 )
| ( likes @ jan @ pepsi @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: mu,X2: mu] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ~ ( likes @ X2 @ X1 @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ pepsi @ ( '#sk5' @ X2 @ X1 @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl30]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ( likes @ jan @ pepsi @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl258]) ).
thf(axiom_a2_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: mu,X8: $i] :
( ~ ( a2 @ X4 @ X8 )
| ( likes @ X6 @ cola @ X8 )
| ~ ( likes @ X6 @ pepsi @ X8 ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a2 @ Y0 @ Y2 ) )
| ( likes @ Y1 @ cola @ Y2 )
| ( (~) @ ( likes @ Y1 @ pepsi @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl58,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a2 @ X2 @ Y1 ) )
| ( likes @ Y0 @ cola @ Y1 )
| ( (~) @ ( likes @ Y0 @ pepsi @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: mu] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a2 @ X2 @ Y0 ) )
| ( likes @ X4 @ cola @ Y0 )
| ( (~) @ ( likes @ X4 @ pepsi @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: mu,X6: $i] :
( ( (~) @ ( a2 @ X2 @ X6 ) )
| ( likes @ X4 @ cola @ X6 )
| ( (~) @ ( likes @ X4 @ pepsi @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
! [X2: $i,X4: mu,X6: $i] :
( ~ ( a2 @ X2 @ X6 )
| ( likes @ X4 @ cola @ X6 )
| ~ ( likes @ X4 @ pepsi @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl327,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ~ ( a2 @ X1 @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl61]) ).
thf(zip_derived_cl929,plain,
! [X0: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl327]) ).
thf(zip_derived_cl44_007,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl931,plain,
! [X0: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl44]) ).
thf(zip_derived_cl932,plain,
! [X0: $i] :
( ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl931]) ).
thf(zip_derived_cl160,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X8 @ Y0 ) )
| ( likes @ X4 @ X6 @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl162,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( ( (~) @ ( a1 @ X8 @ ( '#sk6' @ X4 @ X6 @ X8 ) ) )
| ( likes @ X4 @ X6 @ ( '#sk6' @ X4 @ X6 @ X8 ) ) )
| ~ ( likes @ X4 @ X6 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( a3 @ X2 @ X8 )
| ~ ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl160]) ).
thf(zip_derived_cl165,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ( a1 @ X8 @ ( '#sk6' @ X4 @ X6 @ X8 ) )
| ~ ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl942,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl932,zip_derived_cl165]) ).
thf(zip_derived_cl44_008,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl959,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl942,zip_derived_cl44]) ).
thf(zip_derived_cl960,plain,
! [X0: $i,X1: $i] :
( ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl959]) ).
thf(zip_derived_cl969,plain,
! [X0: $i] :
( ( a1 @ ( '#sk2' @ X0 ) @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl960]) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i] :
( ~ ( a1 @ X4 @ X6 )
| ( likes @ jan @ cola @ X6 ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a1 @ Y0 @ Y1 ) )
| ( likes @ jan @ cola @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a1 @ X2 @ Y0 ) )
| ( likes @ jan @ cola @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( a1 @ X2 @ X4 ) )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ~ ( a1 @ X2 @ X4 )
| ( likes @ jan @ cola @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl976,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl969,zip_derived_cl24]) ).
thf(zip_derived_cl164,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( likes @ X4 @ X6 @ ( '#sk6' @ X4 @ X6 @ X8 ) )
| ( a2 @ X8 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl1119,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl164]) ).
thf(zip_derived_cl44_009,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl1131,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1119,zip_derived_cl44]) ).
thf(zip_derived_cl1132,plain,
! [X0: $i,X1: $i] :
( ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1131]) ).
thf(zip_derived_cl1152,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1132]) ).
thf(zip_derived_cl1152_010,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( a2 @ ( '#sk2' @ X0 ) @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1132]) ).
thf(zip_derived_cl30_011,plain,
! [X2: $i,X4: $i] :
( ~ ( a2 @ X2 @ X4 )
| ( likes @ jan @ pepsi @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl1155,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ pepsi @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1152,zip_derived_cl30]) ).
thf(zip_derived_cl61_012,plain,
! [X2: $i,X4: mu,X6: $i] :
( ~ ( a2 @ X2 @ X6 )
| ( likes @ X4 @ cola @ X6 )
| ~ ( likes @ X4 @ pepsi @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl1168,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ~ ( a2 @ X1 @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1155,zip_derived_cl61]) ).
thf(zip_derived_cl1275,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1152,zip_derived_cl1168]) ).
thf(zip_derived_cl1279,plain,
! [X0: $i] :
( ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1275]) ).
thf(zip_derived_cl976_013,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl969,zip_derived_cl24]) ).
thf(zip_derived_cl166,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( likes @ X4 @ X6 @ ( '#sk6' @ X4 @ X6 @ X8 ) )
| ~ ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl1118,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl976,zip_derived_cl166]) ).
thf(zip_derived_cl44_014,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl1129,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ~ ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl44]) ).
thf(zip_derived_cl1130,plain,
! [X0: $i,X1: $i] :
( ~ ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1129]) ).
thf(zip_derived_cl1285,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1279,zip_derived_cl1130]) ).
thf(zip_derived_cl1299,plain,
! [X0: $i,X1: $i] :
( ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1285]) ).
thf(zip_derived_cl1313,plain,
! [X0: $i] : ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1299]) ).
thf(axiom_user_communication_2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_7,axiom,
! [X4: $i,X6: mu,X8: mu] :
( ( likes @ X6 @ X8 @ X4 )
| ! [X10: $i] :
( ~ ( a3 @ X4 @ X10 )
| ~ ( very_much_likes @ X6 @ X8 @ X10 ) ) ) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: mu] :
( ( likes @ Y1 @ Y2 @ Y0 )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( a3 @ Y0 @ Y3 ) )
| ( (~) @ ( very_much_likes @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl85,plain,
! [X2: $i] :
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: mu] :
( ( likes @ Y0 @ Y1 @ X2 )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( a3 @ X2 @ Y2 ) )
| ( (~) @ ( very_much_likes @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl86,plain,
! [X2: $i,X4: mu] :
( !!
@ ^ [Y0: mu] :
( ( likes @ X4 @ Y0 @ X2 )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( a3 @ X2 @ Y1 ) )
| ( (~) @ ( very_much_likes @ X4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl87,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( likes @ X4 @ X6 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( (~) @ ( very_much_likes @ X4 @ X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl88,plain,
! [X2: $i,X4: mu,X6: mu] :
( ( likes @ X4 @ X6 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( a3 @ X2 @ Y0 ) )
| ( (~) @ ( very_much_likes @ X4 @ X6 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ( (~) @ ( a3 @ X2 @ X8 ) )
| ( (~) @ ( very_much_likes @ X4 @ X6 @ X8 ) )
| ( likes @ X4 @ X6 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( a3 @ X2 @ X8 )
| ~ ( very_much_likes @ X4 @ X6 @ X8 )
| ( likes @ X4 @ X6 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl1315,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ cola @ X1 )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1313,zip_derived_cl90]) ).
thf(zip_derived_cl1318,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1315]) ).
thf(zip_derived_cl166_015,plain,
! [X2: $i,X4: mu,X6: mu,X8: $i] :
( ~ ( likes @ X4 @ X6 @ ( '#sk6' @ X4 @ X6 @ X8 ) )
| ~ ( likes @ X4 @ X6 @ ( '#sk5' @ X4 @ X6 @ X8 ) )
| ~ ( a3 @ X2 @ X8 )
| ( very_much_likes @ X4 @ X6 @ X8 )
| ~ ( likes @ X4 @ X6 @ X8 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl1324,plain,
! [X0: $i,X1: $i] :
( ~ ( likes @ jan @ cola @ X0 )
| ( very_much_likes @ jan @ cola @ X0 )
| ~ ( a3 @ X1 @ X0 )
| ~ ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1318,zip_derived_cl166]) ).
thf(zip_derived_cl1318_016,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1315]) ).
thf(zip_derived_cl1318_017,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl1315]) ).
thf(zip_derived_cl1343,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ X0 )
| ~ ( a3 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1324,zip_derived_cl1318,zip_derived_cl1318]) ).
thf(zip_derived_cl1351,plain,
! [X0: mu,X1: mu,X2: $i] :
( ( very_much_likes @ X1 @ X0 @ X2 )
| ( very_much_likes @ jan @ cola @ ( '#sk4' @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl1343]) ).
thf(zip_derived_cl1357,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ X0 )
| ( very_much_likes @ jan @ cola @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl82,zip_derived_cl1351]) ).
thf(zip_derived_cl1361,plain,
! [X0: $i] : ( very_much_likes @ jan @ cola @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl1357]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf('16',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'5','9']) ).
thf('17',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( very_much_likes @ X @ Y ) ) ) ) ).
thf(zf_stmt_8,conjecture,
! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( very_much_likes @ X6 @ X8 @ X4 ) ).
thf(zf_stmt_9,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( very_much_likes @ X6 @ X8 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl18,plain,
~ ( !!
@ ^ [Y0: $i] :
( (~)
@ ( !!
@ ^ [Y1: mu] :
( !!
@ ^ [Y2: mu] : ( (~) @ ( very_much_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: mu] :
( !!
@ ^ [Y1: mu] : ( (~) @ ( very_much_likes @ Y0 @ Y1 @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X2: mu] :
( !!
@ ^ [Y0: mu] : ( (~) @ ( very_much_likes @ X2 @ Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: mu,X4: mu] :
~ ( very_much_likes @ X2 @ X4 @ '#sk1' ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl1366,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl1361,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : AGT031^2 : TPTP v9.2.0. Released v5.2.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4yZXu6I0dk true
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 11:12:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.59/0.99 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 3.65/1.09 % Solved by lams/35_full_unif4.sh.
% 3.65/1.09 % done 383 iterations in 0.324s
% 3.65/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.65/1.09 % SZS output start Refutation
% See solution above
% 3.65/1.09
% 3.65/1.09
% 3.65/1.09 % Terminating...
% 4.19/1.18 % Runner terminated.
% 4.19/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------