TSTP Solution File: AGT031^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT031^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G3CA59iite 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 : Wed Aug 30 15:58:28 EDT 2023
% Result : Theorem 1.65s 1.07s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 60
% Syntax : Number of formulae : 177 ( 47 unt; 24 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 : 116 ( 116 >; 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_cl62,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_cl63,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_cl62]) ).
thf(zip_derived_cl64,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_cl63]) ).
thf(zip_derived_cl65,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_cl64]) ).
thf(zip_derived_cl66,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_cl65]) ).
thf(zip_derived_cl68,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_cl66]) ).
thf(zip_derived_cl67,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_cl66]) ).
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_cl99,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_cl100,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_cl99]) ).
thf(zip_derived_cl101,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_cl100]) ).
thf(zip_derived_cl102,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_cl101]) ).
thf(zip_derived_cl103,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_cl102]) ).
thf(zip_derived_cl104,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_cl103]) ).
thf(zip_derived_cl105,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_cl104]) ).
thf(zip_derived_cl107,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_cl105]) ).
thf(zip_derived_cl109,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_cl107]) ).
thf(zip_derived_cl196,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_cl109]) ).
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_cl121,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl196_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_cl109]) ).
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_cl280,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_cl196,zip_derived_cl30]) ).
thf(zip_derived_cl288,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_cl121,zip_derived_cl280]) ).
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_cl54,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_cl55,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_cl54]) ).
thf(zip_derived_cl56,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_cl55]) ).
thf(zip_derived_cl57,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_cl56]) ).
thf(zip_derived_cl392,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_cl288,zip_derived_cl57]) ).
thf(zip_derived_cl749,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_cl196,zip_derived_cl392]) ).
thf(zip_derived_cl121_007,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl751,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_cl749,zip_derived_cl121]) ).
thf(zip_derived_cl752,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_cl751]) ).
thf(zip_derived_cl106,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_cl104]) ).
thf(zip_derived_cl108,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_cl106]) ).
thf(zip_derived_cl111,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_cl108]) ).
thf(zip_derived_cl763,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_cl752,zip_derived_cl111]) ).
thf(zip_derived_cl121_008,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl780,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_cl763,zip_derived_cl121]) ).
thf(zip_derived_cl781,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_cl780]) ).
thf(zip_derived_cl792,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_cl781]) ).
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_cl798,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ cola @ ( '#sk6' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl792,zip_derived_cl24]) ).
thf(zip_derived_cl110,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_cl107]) ).
thf(zip_derived_cl865,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_cl798,zip_derived_cl110]) ).
thf(zip_derived_cl121_009,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl877,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_cl865,zip_derived_cl121]) ).
thf(zip_derived_cl878,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_cl877]) ).
thf(zip_derived_cl891,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_cl878]) ).
thf(zip_derived_cl891_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_cl878]) ).
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_cl894,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) )
| ( likes @ jan @ pepsi @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl30]) ).
thf(zip_derived_cl57_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_cl56]) ).
thf(zip_derived_cl897,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_cl894,zip_derived_cl57]) ).
thf(zip_derived_cl939,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_cl891,zip_derived_cl897]) ).
thf(zip_derived_cl943,plain,
! [X0: $i] :
( ( likes @ jan @ cola @ ( '#sk5' @ jan @ cola @ ( '#sk2' @ X0 ) ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl939]) ).
thf(zip_derived_cl798_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_cl792,zip_derived_cl24]) ).
thf(zip_derived_cl112,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_cl108]) ).
thf(zip_derived_cl864,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_cl798,zip_derived_cl112]) ).
thf(zip_derived_cl121_014,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl875,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_cl864,zip_derived_cl121]) ).
thf(zip_derived_cl876,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_cl875]) ).
thf(zip_derived_cl949,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_cl943,zip_derived_cl876]) ).
thf(zip_derived_cl963,plain,
! [X0: $i,X1: $i] :
( ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl949]) ).
thf(zip_derived_cl979,plain,
! [X0: $i] : ( very_much_likes @ jan @ cola @ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl963]) ).
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_cl69,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_cl70,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_cl69]) ).
thf(zip_derived_cl71,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_cl70]) ).
thf(zip_derived_cl72,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_cl71]) ).
thf(zip_derived_cl73,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_cl72]) ).
thf(zip_derived_cl74,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_cl73]) ).
thf(zip_derived_cl981,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ cola @ X1 )
| ~ ( a3 @ X1 @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl979,zip_derived_cl74]) ).
thf(zip_derived_cl983,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl981]) ).
thf(zip_derived_cl112_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_cl108]) ).
thf(zip_derived_cl988,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_cl983,zip_derived_cl112]) ).
thf(zip_derived_cl983_016,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl981]) ).
thf(zip_derived_cl983_017,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl981]) ).
thf(zip_derived_cl1007,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ X0 )
| ~ ( a3 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl988,zip_derived_cl983,zip_derived_cl983]) ).
thf(zip_derived_cl1015,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_cl67,zip_derived_cl1007]) ).
thf(zip_derived_cl1061,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ X0 )
| ( very_much_likes @ jan @ cola @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl1015]) ).
thf(zip_derived_cl1065,plain,
! [X0: $i] : ( very_much_likes @ jan @ cola @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl1061]) ).
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_cl1070,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl1065,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : AGT031^2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G3CA59iite true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 17:18:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 1.11/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.11/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.11/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.11/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.11/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.11/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.11/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.11/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.84 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.44/0.95 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.65/1.07 % Solved by lams/30_sp5.sh.
% 1.65/1.07 % done 259 iterations in 0.239s
% 1.65/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.65/1.07 % SZS output start Refutation
% See solution above
% 1.65/1.07
% 1.65/1.07
% 1.65/1.07 % Terminating...
% 2.59/1.17 % Runner terminated.
% 2.59/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------