%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO437^1 : 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.qLT2z0kOGf true
% Computer : n014.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 05:07:28 PM UTC 2025
% Result : Theorem 0.60s 0.86s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 61 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 24 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 392 ( 71 ~; 61 |; 4 &; 252 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 39 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 88 ( 45 ^; 43 !; 0 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(q_type,type,
q: $i > $o ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(r_type,type,
r: $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_s4
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s4 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('1',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s4 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
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('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
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
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
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
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
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(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('11',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'9','11','5','7']) ).
thf('13',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mequiv @ p @ q ) ) @ r ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( mequiv @ p @ q ) ) @ ( mbox_s4 @ r ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ! [X8: $i] :
( ~ ( ~ ( ~ ( p @ X8 )
| ( q @ X8 ) )
| ~ ( ~ ( q @ X8 )
| ( p @ X8 ) ) )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ( r @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ~ ( ~ ( ~ ( p @ X12 )
| ( q @ X12 ) )
| ~ ( ~ ( q @ X12 )
| ( p @ X12 ) ) )
| ~ ( rel_s4 @ X10 @ X12 ) )
| ! [X14: $i] :
( ( r @ X14 )
| ~ ( rel_s4 @ X10 @ X14 ) )
| ~ ( rel_s4 @ X4 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ! [X8: $i] :
( ~ ( ~ ( ~ ( p @ X8 )
| ( q @ X8 ) )
| ~ ( ~ ( q @ X8 )
| ( p @ X8 ) ) )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ( r @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ~ ( ~ ( ~ ( p @ X12 )
| ( q @ X12 ) )
| ~ ( ~ ( q @ X12 )
| ( p @ X12 ) ) )
| ~ ( rel_s4 @ X10 @ X12 ) )
| ! [X14: $i] :
( ( r @ X14 )
| ~ ( rel_s4 @ X10 @ X14 ) )
| ~ ( rel_s4 @ X4 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
rel_s4 @ sk__6 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('14',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('15',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
mtransitive @ rel_s4 ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( rel_s4 @ X4 @ X6 )
& ( rel_s4 @ X6 @ X8 ) )
=> ( rel_s4 @ X4 @ X8 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( rel_s4 @ sk__6 @ X0 )
| ~ ( rel_s4 @ sk__8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
rel_s4 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl70,plain,
rel_s4 @ sk__6 @ sk__9,
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X1: $i] :
( ( rel_s4 @ X1 @ ( sk__7 @ X1 ) )
| ( r @ X1 )
| ~ ( rel_s4 @ sk__6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl82,plain,
( ( r @ sk__9 )
| ( rel_s4 @ sk__9 @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl11]) ).
thf(zip_derived_cl5,plain,
~ ( r @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl86,plain,
rel_s4 @ sk__9 @ ( sk__7 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl5]) ).
thf(zip_derived_cl4_001,plain,
rel_s4 @ sk__8 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel_s4 @ X0 @ X1 )
| ~ ( rel_s4 @ X1 @ X2 )
| ( rel_s4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( rel_s4 @ sk__8 @ X0 )
| ~ ( rel_s4 @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl88,plain,
rel_s4 @ sk__8 @ ( sk__7 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl28]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( p @ X0 )
| ~ ( q @ X0 )
| ~ ( rel_s4 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl95,plain,
( ~ ( q @ ( sk__7 @ sk__9 ) )
| ( p @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( p @ ( sk__7 @ X1 ) )
| ~ ( q @ ( sk__7 @ X1 ) )
| ( r @ X1 )
| ~ ( rel_s4 @ sk__6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl88_003,plain,
rel_s4 @ sk__8 @ ( sk__7 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl28]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( p @ X0 )
| ~ ( rel_s4 @ sk__8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl96,plain,
( ~ ( p @ ( sk__7 @ sk__9 ) )
| ( q @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl2]) ).
thf(zip_derived_cl119,plain,
( ~ ( rel_s4 @ sk__6 @ sk__9 )
| ( r @ sk__9 )
| ~ ( p @ ( sk__7 @ sk__9 ) )
| ~ ( p @ ( sk__7 @ sk__9 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl96]) ).
thf(zip_derived_cl70_004,plain,
rel_s4 @ sk__6 @ sk__9,
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).
thf(zip_derived_cl5_005,plain,
~ ( r @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl124,plain,
( ~ ( p @ ( sk__7 @ sk__9 ) )
| ~ ( p @ ( sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl70,zip_derived_cl5]) ).
thf(zip_derived_cl125,plain,
~ ( p @ ( sk__7 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl132,plain,
~ ( q @ ( sk__7 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl125]) ).
thf(zip_derived_cl70_006,plain,
rel_s4 @ sk__6 @ sk__9,
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X1: $i] :
( ( q @ ( sk__7 @ X1 ) )
| ( p @ ( sk__7 @ X1 ) )
| ( r @ X1 )
| ~ ( rel_s4 @ sk__6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl143,plain,
( ( r @ sk__9 )
| ( p @ ( sk__7 @ sk__9 ) )
| ( q @ ( sk__7 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl10]) ).
thf(zip_derived_cl5_007,plain,
~ ( r @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl125_008,plain,
~ ( p @ ( sk__7 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl153,plain,
q @ ( sk__7 @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl5,zip_derived_cl125]) ).
thf(zip_derived_cl155,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO437^1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qLT2z0kOGf true
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 18:16:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.86 % Solved by lams/40_c.s.sh.
% 0.60/0.86 % done 85 iterations in 0.034s
% 0.60/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.86 % SZS output start Refutation
% See solution above
% 0.60/0.86
% 0.60/0.86
% 0.60/0.86 % Terminating...
% 0.67/0.97 % Runner terminated.
% 0.67/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------