%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : AGT033^2 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MaCXTGLPKB true
% Computer : n023.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 04:27:15 PM UTC 2025
% Result : Theorem 0.54s 0.81s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 22
% Syntax : Number of formulae : 38 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 105 ( 24 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 159 ( 20 ~; 12 |; 0 &; 127 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 87 ( 55 ^; 32 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(possibly_likes_type,type,
possibly_likes: mu > mu > $i > $o ).
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(piotr_type,type,
piotr: mu ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(beer_type,type,
beer: mu ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
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_3,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i] :
~ ! [X6: $i] :
( ~ ( likes @ piotr @ beer @ X6 )
| ~ ( a1 @ X4 @ X6 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( a1 @ X0 @ ( sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] : ( likes @ piotr @ beer @ ( sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(axiom_user_communication_3,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [X4: $i,X6: mu,X8: mu] :
( ! [X10: $i] :
( ~ ( likes @ X6 @ X8 @ X10 )
| ~ ( a1 @ X4 @ X10 ) )
| ( possibly_likes @ X6 @ X8 @ X4 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: mu,X3: mu] :
( ~ ( a1 @ X0 @ X1 )
| ~ ( likes @ X2 @ X3 @ X1 )
| ( possibly_likes @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( possibly_likes @ piotr @ beer @ X1 )
| ~ ( a1 @ X1 @ ( sk__5 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] : ( possibly_likes @ piotr @ beer @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl43]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf('14',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('15',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] : ( possibly_likes @ X @ Y ) ) ) ) ).
thf(zf_stmt_2,conjecture,
! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( possibly_likes @ X6 @ X8 @ X4 ) ).
thf(zf_stmt_3,negated_conjecture,
~ ! [X4: $i] :
~ ! [X6: mu,X8: mu] :
~ ( possibly_likes @ X6 @ X8 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl25,plain,
! [X0: mu,X1: mu] :
~ ( possibly_likes @ X0 @ X1 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl54,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : AGT033^2 : TPTP v9.2.0. Released v5.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MaCXTGLPKB true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 11:12:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.52/0.64 % Total configuration time : 828
% 0.52/0.64 % Estimated wc time : 1656
% 0.52/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.54/0.81 % Solved by lams/40_noforms.sh.
% 0.54/0.81 % done 28 iterations in 0.068s
% 0.54/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.81 % SZS output start Refutation
% See solution above
% 0.54/0.81
% 0.54/0.81
% 0.54/0.81 % Terminating...
% 2.08/0.94 % Runner terminated.
% 2.08/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------