TSTP Solution File: AGT032^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT032^2 : 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.GpY5UDwcbe true
% Computer : n025.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 2.05s 1.09s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 64
% Syntax : Number of formulae : 138 ( 43 unt; 27 typ; 0 def)
% Number of atoms : 355 ( 27 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1256 ( 101 ~; 142 |; 0 &;1011 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 129 ( 129 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 251 ( 64 ^; 187 !; 0 ?; 251 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(sk__6_type,type,
sk__6: $i > mu > mu > $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > mu > mu > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
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(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(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(cola_type,type,
cola: mu ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > mu > mu > $o ).
thf(a2_type,type,
a2: $i > $i > $o ).
thf(a3_type,type,
a3: $i > $i > $o ).
thf(jan_type,type,
jan: mu ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > mu > mu > $o ).
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(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'3','5']) ).
thf('7',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_0,axiom,
! [X4: $i] :
~ ! [X6: $i] :
( ~ ( likes @ piotr @ pepsi @ X6 )
| ~ ( a3 @ X4 @ X6 ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_002,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_003,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_005,plain,
! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_a3_1,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) ).
thf(zf_stmt_1,axiom,
! [X4: $i,X6: $i] :
( ( likes @ jan @ cola @ X6 )
| ~ ( a3 @ X4 @ X6 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ cola @ X0 )
| ~ ( a3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('8',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('9',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('10',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('11',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('12',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'11','5']) ).
thf('13',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
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,'11','5']) ).
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(zf_stmt_3,axiom,
! [X14: $i,X10: $i,X8: mu,X6: mu] :
( ( ( likes @ X6 @ X8 @ X14 )
| ~ ( a2 @ X10 @ X14 ) )
=> ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( a2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_4,axiom,
! [X12: $i,X10: $i,X8: mu,X6: mu] :
( ( ( likes @ X6 @ X8 @ X12 )
| ~ ( a1 @ X10 @ X12 ) )
=> ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( a1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zf_stmt_5,type,
zip_tseitin_1: $i > $i > mu > mu > $o ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $i > mu > mu > $o ).
thf(zf_stmt_7,axiom,
! [X4: $i,X6: mu,X8: mu,X10: $i] :
( ~ ! [X12: $i] : ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 )
| ~ ! [X14: $i] : ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 )
| ~ ( likes @ X6 @ X8 @ X10 )
| ( very_much_likes @ X6 @ X8 @ X10 )
| ~ ( a3 @ X4 @ X10 ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: mu,X2: mu,X3: $i] :
( ~ ( zip_tseitin_1 @ ( sk__6 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( likes @ X2 @ X1 @ X0 )
| ( very_much_likes @ X2 @ X1 @ X0 )
| ~ ( a3 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl82,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) )
| ~ ( a3 @ X3 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( likes @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl159,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ( a2 @ X2 @ ( sk__7 @ X2 @ X1 @ X0 ) )
| ~ ( likes @ X0 @ X1 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( a3 @ X3 @ X2 )
| ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl82]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl159]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl208]) ).
thf(zip_derived_cl219_006,plain,
! [X0: $i] :
( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl208]) ).
thf(axiom_a2_1,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).
thf(zf_stmt_8,axiom,
! [X4: $i,X6: $i] :
( ( likes @ jan @ pepsi @ X6 )
| ~ ( a2 @ X4 @ X6 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ pepsi @ X0 )
| ~ ( a2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl228,plain,
! [X0: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ pepsi @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl4]) ).
thf(axiom_a2_4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ) ).
thf(zf_stmt_9,axiom,
! [X4: $i,X6: mu,X8: $i] :
( ~ ( likes @ X6 @ pepsi @ X8 )
| ( likes @ X6 @ cola @ X8 )
| ~ ( a2 @ X4 @ X8 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: mu,X1: $i,X2: $i] :
( ~ ( likes @ X0 @ pepsi @ X1 )
| ( likes @ X0 @ cola @ X1 )
| ~ ( a2 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl396,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a2 @ X1 @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl7]) ).
thf(zip_derived_cl468,plain,
! [X0: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl396]) ).
thf(zip_derived_cl470,plain,
! [X0: $i] :
( ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl468]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ~ ( likes @ X3 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl82_007,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) )
| ~ ( a3 @ X3 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( likes @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
thf(zip_derived_cl160,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ~ ( likes @ X0 @ X1 @ ( sk__7 @ X2 @ X1 @ X0 ) )
| ~ ( likes @ X0 @ X1 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( a3 @ X3 @ X2 )
| ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl82]) ).
thf(zip_derived_cl729,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl160]) ).
thf(zip_derived_cl26_008,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl749,plain,
! [X0: $i,X1: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl729,zip_derived_cl26]) ).
thf(zip_derived_cl750,plain,
! [X0: $i,X1: $i] :
( ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl749]) ).
thf(zip_derived_cl761,plain,
! [X0: $i] :
( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl750]) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).
thf(zf_stmt_10,axiom,
! [X4: $i,X6: $i] :
( ( likes @ jan @ cola @ X6 )
| ~ ( a1 @ X4 @ X6 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ cola @ X0 )
| ~ ( a1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl767,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl0]) ).
thf(zip_derived_cl15_009,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ( a2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( likes @ X3 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl18_010,plain,
! [X0: $i,X1: mu,X2: mu,X3: $i] :
( ~ ( zip_tseitin_1 @ ( sk__6 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
| ~ ( likes @ X2 @ X1 @ X0 )
| ( very_much_likes @ X2 @ X1 @ X0 )
| ~ ( a3 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl83,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) )
| ~ ( a3 @ X3 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( likes @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl185,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ( a2 @ X2 @ ( sk__7 @ X2 @ X1 @ X0 ) )
| ~ ( likes @ X0 @ X1 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( a3 @ X3 @ X2 )
| ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl83]) ).
thf(zip_derived_cl859,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl185]) ).
thf(zip_derived_cl26_011,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl871,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl26]) ).
thf(zip_derived_cl872,plain,
! [X0: $i,X1: $i] :
( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl871]) ).
thf(zip_derived_cl885,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl872]) ).
thf(zip_derived_cl885_012,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl872]) ).
thf(zip_derived_cl4_013,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ pepsi @ X0 )
| ~ ( a2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl891,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ pepsi @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl4]) ).
thf(zip_derived_cl7_014,plain,
! [X0: mu,X1: $i,X2: $i] :
( ~ ( likes @ X0 @ pepsi @ X1 )
| ( likes @ X0 @ cola @ X1 )
| ~ ( a2 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl893,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( a2 @ X1 @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl7]) ).
thf(zip_derived_cl917,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl893]) ).
thf(zip_derived_cl919,plain,
! [X0: $i] :
( ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl917]) ).
thf(zip_derived_cl14_015,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
| ~ ( likes @ X3 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl83_016,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) )
| ~ ( a3 @ X3 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( likes @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl186,plain,
! [X0: mu,X1: mu,X2: $i,X3: $i] :
( ~ ( likes @ X0 @ X1 @ ( sk__7 @ X2 @ X1 @ X0 ) )
| ~ ( likes @ X0 @ X1 @ X2 )
| ( very_much_likes @ X0 @ X1 @ X2 )
| ~ ( a3 @ X3 @ X2 )
| ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl83]) ).
thf(zip_derived_cl923,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl919,zip_derived_cl186]) ).
thf(zip_derived_cl26_017,plain,
! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).
thf(zip_derived_cl937,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl923,zip_derived_cl26]) ).
thf(zip_derived_cl938,plain,
! [X0: $i,X1: $i] :
( ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
| ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
| ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl937]) ).
thf(zip_derived_cl767_018,plain,
! [X0: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl0]) ).
thf(zip_derived_cl951,plain,
! [X0: $i,X1: $i] :
( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl938,zip_derived_cl767]) ).
thf(zip_derived_cl952,plain,
! [X0: $i] : ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl951]) ).
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_11,axiom,
! [X4: $i,X6: mu,X8: mu] :
( ! [X10: $i] :
( ~ ( very_much_likes @ X6 @ X8 @ X10 )
| ~ ( a3 @ X4 @ X10 ) )
| ( likes @ X6 @ X8 @ X4 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ~ ( a3 @ X0 @ X1 )
| ~ ( very_much_likes @ X2 @ X3 @ X1 )
| ( likes @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl954,plain,
! [X0: $i,X1: $i] :
( ( likes @ jan @ cola @ X1 )
| ~ ( a3 @ X1 @ ( sk__4 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl21]) ).
thf(zip_derived_cl956,plain,
! [X0: $i] : ( likes @ jan @ cola @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl954]) ).
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,'9','5']) ).
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] : ( likes @ X @ Y ) ) ) ) ).
thf(zf_stmt_12,conjecture,
! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( likes @ X6 @ X8 @ X4 ) ).
thf(zf_stmt_13,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( likes @ X6 @ X8 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl25,plain,
! [X0: mu,X1: mu] :
~ ( likes @ X0 @ X1 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl960,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl956,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : AGT032^2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GpY5UDwcbe true
% 0.15/0.35 % Computer : n025.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 17:21:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % 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
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.75/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.75/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.75/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.75/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.75/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.75/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.75/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.75/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.75/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.38/0.86 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.40/0.93 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 2.05/1.09 % Solved by lams/40_noforms.sh.
% 2.05/1.09 % done 305 iterations in 0.274s
% 2.05/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.05/1.09 % SZS output start Refutation
% See solution above
% 2.05/1.09
% 2.05/1.09
% 2.05/1.09 % Terminating...
% 2.21/1.17 % Runner terminated.
% 2.21/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------