%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO432^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mqtFGiDE3V true
% Computer : n029.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 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 56 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 271 ( 24 equ; 48 cnn)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 535 ( 100 ~; 77 |; 0 &; 326 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-3 aty)
% ( 25 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 113 ( 67 ^; 46 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
thf(q_type,type,
q: $i > $o ).
thf(rel_b_type,type,
rel_b: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(p_type,type,
p: $i > $o ).
thf(mdia_b_type,type,
mdia_b: ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $i ).
thf(mbox_b_type,type,
mbox_b: ( $i > $o ) > $i > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mdia_b,axiom,
( mdia_b
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_b,axiom,
( mbox_b
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_b @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_b
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_b @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_b]) ).
thf('1',plain,
( mbox_b
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_b @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('2',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('3',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia_b
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_b,'1','3']) ).
thf('5',plain,
( mdia_b
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('6',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('7',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
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('8',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('9',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('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','3']) ).
thf('11',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('12',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'9','3']) ).
thf('13',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mand @ ( mbox_b @ p ) @ ( mbox_b @ ( mdia_b @ ( mbox_b @ ( mimplies @ p @ q ) ) ) ) ) @ ( mbox_b @ q ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X14: $i] :
( ~ ( rel_b @ X4 @ X14 )
| ( q @ X14 ) )
| ~ ! [X6: $i] :
( ~ ( rel_b @ X4 @ X6 )
| ( p @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( rel_b @ X4 @ X8 )
| ~ ! [X10: $i] :
( ~ ( rel_b @ X8 @ X10 )
| ~ ! [X12: $i] :
( ~ ( rel_b @ X10 @ X12 )
| ( q @ X12 )
| ~ ( p @ X12 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X14: $i] :
( ~ ( rel_b @ X4 @ X14 )
| ( q @ X14 ) )
| ~ ! [X6: $i] :
( ~ ( rel_b @ X4 @ X6 )
| ( p @ X6 ) )
| ~ ! [X8: $i] :
( ~ ( rel_b @ X4 @ X8 )
| ~ ! [X10: $i] :
( ~ ( rel_b @ X8 @ X10 )
| ~ ! [X12: $i] :
( ~ ( rel_b @ X10 @ X12 )
| ( q @ X12 )
| ~ ( p @ X12 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( q @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( rel_b @ Y2 @ Y3 ) )
| ( q @ Y3 )
| ( (~) @ ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
| ( q @ Y2 )
| ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( q @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
~ ( ( (~) @ ( rel_b @ '#sk1' @ '#sk2' ) )
| ( q @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl19,plain,
~ ( q @ '#sk2' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_b @ Y1 @ Y2 ) )
| ( q @ Y2 )
| ( (~) @ ( p @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ X2 ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ X2 @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( q @ Y1 )
| ( (~) @ ( p @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ~ ( rel_b @ '#sk1' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ X2 @ Y0 ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_b @ Y0 @ Y1 ) )
| ( q @ Y1 )
| ( (~) @ ( p @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ~ ( ( (~) @ ( rel_b @ X2 @ ( '#sk3' @ X2 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ ( '#sk3' @ X2 ) @ Y0 ) )
| ( q @ Y0 )
| ( (~) @ ( p @ Y0 ) ) ) ) ) )
| ~ ( rel_b @ '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: $i] :
( ( rel_b @ X2 @ ( '#sk3' @ X2 ) )
| ~ ( rel_b @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('14',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('15',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(a2,axiom,
msymmetric @ rel_b ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( rel_b @ X4 @ X6 )
=> ( rel_b @ X6 @ X4 ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( rel_b @ Y0 @ Y1 )
=> ( rel_b @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( rel_b @ X2 @ Y0 )
=> ( rel_b @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( ( rel_b @ X2 @ X4 )
=> ( rel_b @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_b @ X2 @ X4 )
| ( rel_b @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( rel_b @ '#sk1' @ X0 )
| ( rel_b @ ( '#sk3' @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl6]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ ( '#sk3' @ X2 ) @ Y0 ) )
| ( q @ Y0 )
| ( (~) @ ( p @ Y0 ) ) ) )
| ~ ( rel_b @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( rel_b @ ( '#sk3' @ X2 ) @ X4 ) )
| ( q @ X4 )
| ( (~) @ ( p @ X4 ) )
| ~ ( rel_b @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i] :
( ~ ( rel_b @ ( '#sk3' @ X2 ) @ X4 )
| ( q @ X4 )
| ~ ( p @ X4 )
| ~ ( rel_b @ '#sk1' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( rel_b @ '#sk1' @ X0 )
| ~ ( rel_b @ '#sk1' @ X0 )
| ~ ( p @ X0 )
| ( q @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl26]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( p @ X0 )
| ~ ( rel_b @ '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ Y0 ) )
| ( p @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( (~) @ ( rel_b @ '#sk1' @ X2 ) )
| ( p @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ~ ( rel_b @ '#sk1' @ X2 )
| ( p @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ~ ( rel_b @ '#sk1' @ X0 )
| ( q @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl45,plain,
~ ( rel_b @ '#sk1' @ '#sk2' ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl43]) ).
thf(zip_derived_cl18,plain,
rel_b @ '#sk1' @ '#sk2',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl48,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO432^1 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mqtFGiDE3V true
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 18:04:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.79 % Solved by lams/35_full_unif4.sh.
% 0.57/0.79 % done 19 iterations in 0.030s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% See solution above
% 0.57/0.79
% 0.57/0.79
% 0.57/0.79 % Terminating...
% 2.01/0.86 % Runner terminated.
% 2.01/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------