%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN041^4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k8vtvmvs84 true
% Computer : n008.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 05:03:47 PM UTC 2025
% Result : Theorem 0.36s 0.92s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 41 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 136 ( 24 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 227 ( 28 ~; 22 |; 1 &; 158 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 79 ( 42 ^; 37 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(q_type,type,
q: $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(inot_type,type,
inot: ( $i > $o ) > $i > $o ).
thf(ivalid,axiom,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[ivalid]) ).
thf('1',plain,
( ivalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('2',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('3',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( irel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'3','9']) ).
thf('11',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(inot,axiom,
( inot
= ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ) ).
thf('12',plain,
( inot
= ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[inot,'3','7']) ).
thf('13',plain,
( inot
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('14',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('15',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(pel3,conjecture,
ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) ) @ ( iimplies @ ( iatom @ q ) @ ( iatom @ p ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p @ X10 ) )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( q @ X12 ) ) ) ) )
| ! [X14: $i] :
( ( irel @ X4 @ X14 )
=> ( ~ ! [X16: $i] :
( ( irel @ X14 @ X16 )
=> ( q @ X16 ) )
| ! [X18: $i] :
( ( irel @ X14 @ X18 )
=> ( p @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ~ ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p @ X10 ) )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( q @ X12 ) ) ) ) )
| ! [X14: $i] :
( ( irel @ X4 @ X14 )
=> ( ~ ! [X16: $i] :
( ( irel @ X14 @ X16 )
=> ( q @ X16 ) )
| ! [X18: $i] :
( ( irel @ X14 @ X18 )
=> ( p @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ( irel @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
| ~ ( irel @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X1: $i] :
( ( irel @ X1 @ ( sk__6 @ X1 ) )
| ~ ( irel @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(trans_axiom,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ~ ( irel @ X1 @ X2 )
| ( irel @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[trans_axiom]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( irel @ sk__5 @ X0 )
| ( irel @ X0 @ X1 )
| ~ ( irel @ ( sk__6 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ~ ( irel @ sk__5 @ X0 )
| ( irel @ X0 @ ( sk__7 @ X0 ) )
| ~ ( irel @ sk__5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl54]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( irel @ X0 @ ( sk__7 @ X0 ) )
| ~ ( irel @ sk__5 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( irel @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( q @ ( sk__7 @ X1 ) )
| ~ ( irel @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( irel @ sk__8 @ ( sk__7 @ X0 ) )
| ~ ( irel @ sk__5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl170,plain,
( ~ ( irel @ sk__5 @ sk__8 )
| ~ ( irel @ sk__5 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl10]) ).
thf(zip_derived_cl5,plain,
irel @ sk__5 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_001,plain,
irel @ sk__5 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl214,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl5,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.17 % Problem : SYN041^4 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k8vtvmvs84 true
% 0.08/0.39 % Computer : n008.cluster.edu
% 0.08/0.39 % Model : x86_64 x86_64
% 0.08/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.39 % Memory : 8042.1875MB
% 0.08/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.39 % CPULimit : 300
% 0.08/0.39 % WCLimit : 300
% 0.08/0.39 % DateTime : Wed Oct 1 13:44:38 EDT 2025
% 0.08/0.39 % CPUTime :
% 0.08/0.39 % Running portfolio for 300 s
% 0.08/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.40 % Number of cores: 8
% 0.08/0.40 % Python version: Python 3.6.8
% 0.08/0.40 % Running in HO mode
% 0.34/0.64 % Total configuration time : 828
% 0.34/0.64 % Estimated wc time : 1656
% 0.34/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.34/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.34/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.35/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.35/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.35/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.35/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.35/0.84 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.35/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.36/0.92 % Solved by lams/40_noforms.sh.
% 0.36/0.92 % done 64 iterations in 0.041s
% 0.36/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.36/0.92 % SZS output start Refutation
% See solution above
% 0.36/0.92
% 0.36/0.92
% 0.36/0.92 % Terminating...
% 1.50/1.19 % Runner terminated.
% 1.50/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------