TSTP Solution File: SYO424^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO424^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gHmNj2iziU true
% Computer : n011.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 : Fri Sep 1 05:51:07 EDT 2023
% Result : Theorem 1.44s 0.77s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 56 ( 25 unt; 12 typ; 0 def)
% Number of atoms : 180 ( 21 equ; 26 cnn)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 312 ( 62 ~; 45 |; 0 &; 192 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 12 usr; 5 con; 0-3 aty)
% ( 11 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 82 ( 49 ^; 29 !; 4 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(q_type,type,
q: $i > $o ).
thf(rel_d_type,type,
rel_d: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(mdia_d_type,type,
mdia_d: ( $i > $o ) > $i > $o ).
thf(mbox_d_type,type,
mbox_d: ( $i > $o ) > $i > $o ).
thf(mserial_type,type,
mserial: ( $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_d,axiom,
( mdia_d
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_d @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_d,axiom,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_d]) ).
thf('1',plain,
( mbox_d
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_d @ 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_d
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_d @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_d,'1','3']) ).
thf('5',plain,
( mdia_d
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_d @ ( 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(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ 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,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'9','3']) ).
thf('11',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 @ ( mor @ ( mor @ ( mdia_d @ ( mnot @ p ) ) @ ( mdia_d @ ( mnot @ q ) ) ) @ ( mdia_d @ ( mand @ p @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X10: $i] :
( ~ ( rel_d @ X4 @ X10 )
| ~ ( p @ X10 )
| ~ ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_d @ X4 @ X8 )
| ( q @ X8 ) )
| ~ ! [X6: $i] :
( ~ ( rel_d @ X4 @ X6 )
| ( p @ X6 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X10: $i] :
( ~ ( rel_d @ X4 @ X10 )
| ~ ( p @ X10 )
| ~ ( q @ X10 ) )
| ~ ! [X8: $i] :
( ~ ( rel_d @ X4 @ X8 )
| ( q @ X8 ) )
| ~ ! [X6: $i] :
( ~ ( rel_d @ X4 @ X6 )
| ( p @ X6 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_d @ Y0 @ Y1 ) )
| ( (~) @ ( p @ Y1 ) )
| ( (~) @ ( q @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_d @ Y0 @ Y1 ) )
| ( q @ Y1 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_d @ Y0 @ Y1 ) )
| ( p @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) )
| ( (~) @ ( q @ Y0 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( q @ Y0 ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( p @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( (~) @ ( p @ Y0 ) )
| ( (~) @ ( q @ Y0 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ X2 ) )
| ( (~) @ ( p @ X2 ) )
| ( (~) @ ( q @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( rel_d @ '#sk2' @ X2 )
| ~ ( p @ X2 )
| ~ ( q @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( q @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ X2 ) )
| ( q @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( rel_d @ '#sk2' @ X2 )
| ( q @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( p @ X0 )
| ~ ( rel_d @ '#sk2' @ X0 )
| ~ ( rel_d @ '#sk2' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ~ ( rel_d @ '#sk2' @ X0 )
| ~ ( p @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ Y0 ) )
| ( p @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( (~) @ ( rel_d @ '#sk2' @ X2 ) )
| ( p @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( rel_d @ '#sk2' @ X2 )
| ( p @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
~ ( rel_d @ '#sk2' @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(mserial,axiom,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ) ).
thf('12',plain,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
inference(simplify_rw_rule,[status(thm)],[mserial]) ).
thf('13',plain,
( mserial
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] :
? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mserial @ rel_d ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
? [X6: $i] : ( rel_d @ X4 @ X6 ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] : ( rel_d @ Y0 @ Y1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl2,plain,
! [X2: $i] :
( ??
@ ^ [Y0: $i] : ( rel_d @ X2 @ Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] : ( rel_d @ X2 @ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SYO424^1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gHmNj2iziU true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Sat Aug 26 04:53:53 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.38/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.44/0.77 % Solved by lams/35_full_unif4.sh.
% 1.44/0.77 % done 4 iterations in 0.017s
% 1.44/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.77 % SZS output start Refutation
% See solution above
% 1.44/0.77
% 1.44/0.77
% 1.44/0.77 % Terminating...
% 1.59/0.86 % Runner terminated.
% 1.78/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------