TSTP Solution File: SYO399^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO399^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dYQKMFkdw9 true
% Computer : n009.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 05:51:00 EDT 2023
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 78 ( 34 unt; 14 typ; 0 def)
% Number of atoms : 211 ( 24 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 386 ( 88 ~; 79 |; 0 &; 219 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 70 ( 45 ^; 25 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(q_type,type,
q: $i > $o ).
thf(rel_k_type,type,
rel_k: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_k_type,type,
mdia_k: ( $i > $o ) > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(mbox_k_type,type,
mbox_k: ( $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(mdia_k,axiom,
( mdia_k
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_k @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_k,axiom,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_k]) ).
thf('1',plain,
( mbox_k
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_k @ 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_k
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_k @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_k,'1','3']) ).
thf('5',plain,
( mdia_k
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_k @ ( 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(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('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('14',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'11','13','9','3']) ).
thf('15',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 @ ( mequiv @ ( mnot @ ( mdia_k @ ( mand @ q @ r ) ) ) @ ( mbox_k @ ( mimplies @ q @ ( mnot @ r ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ( ~ ! [X6: $i] :
( ~ ( r @ X6 )
| ~ ( q @ X6 )
| ~ ( rel_k @ X4 @ X6 ) )
| ! [X8: $i] :
( ~ ( q @ X8 )
| ~ ( r @ X8 )
| ~ ( rel_k @ X4 @ X8 ) ) )
| ~ ( ~ ! [X10: $i] :
( ~ ( q @ X10 )
| ~ ( r @ X10 )
| ~ ( rel_k @ X4 @ X10 ) )
| ! [X12: $i] :
( ~ ( r @ X12 )
| ~ ( q @ X12 )
| ~ ( rel_k @ X4 @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ( ~ ! [X6: $i] :
( ~ ( r @ X6 )
| ~ ( q @ X6 )
| ~ ( rel_k @ X4 @ X6 ) )
| ! [X8: $i] :
( ~ ( q @ X8 )
| ~ ( r @ X8 )
| ~ ( rel_k @ X4 @ X8 ) ) )
| ~ ( ~ ! [X10: $i] :
( ~ ( q @ X10 )
| ~ ( r @ X10 )
| ~ ( rel_k @ X4 @ X10 ) )
| ! [X12: $i] :
( ~ ( r @ X12 )
| ~ ( q @ X12 )
| ~ ( rel_k @ X4 @ X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( q @ X1 )
| ~ ( r @ X1 )
| ~ ( rel_k @ sk__2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( r @ X0 )
| ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( q @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl65,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ~ ( r @ sk__4 )
| ~ ( q @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl45]) ).
thf(zip_derived_cl7,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( r @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 )
| ~ ( r @ X0 )
| ( r @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
( ( r @ sk__4 )
| ( r @ sk__4 )
| ~ ( r @ sk__3 )
| ~ ( q @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl3]) ).
thf(zip_derived_cl37,plain,
( ~ ( q @ sk__3 )
| ~ ( r @ sk__3 )
| ( r @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl15,plain,
( ( q @ sk__3 )
| ( r @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl55,plain,
( ( r @ sk__4 )
| ~ ( r @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl37,zip_derived_cl15]) ).
thf(zip_derived_cl11,plain,
( ( r @ sk__3 )
| ( r @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl56,plain,
r @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl11]) ).
thf(zip_derived_cl6,plain,
( ( rel_k @ sk__2 @ sk__3 )
| ( q @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( rel_k @ sk__2 @ X0 )
| ~ ( q @ X0 )
| ~ ( r @ X0 )
| ( q @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
( ( q @ sk__4 )
| ( q @ sk__4 )
| ~ ( r @ sk__3 )
| ~ ( q @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl24,plain,
( ~ ( q @ sk__3 )
| ~ ( r @ sk__3 )
| ( q @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl14,plain,
( ( q @ sk__3 )
| ( q @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
( ( q @ sk__4 )
| ~ ( r @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl24,zip_derived_cl14]) ).
thf(zip_derived_cl10,plain,
( ( r @ sk__3 )
| ( q @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
q @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl10]) ).
thf(zip_derived_cl67,plain,
rel_k @ sk__2 @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl56,zip_derived_cl27]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl69,plain,
( ~ ( r @ sk__3 )
| ~ ( q @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl45]) ).
thf(zip_derived_cl9,plain,
( ( r @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl58,plain,
( ( r @ sk__3 )
| ~ ( r @ sk__4 )
| ~ ( q @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl45]) ).
thf(zip_derived_cl56_003,plain,
r @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl11]) ).
thf(zip_derived_cl27_004,plain,
q @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl10]) ).
thf(zip_derived_cl62,plain,
r @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl56,zip_derived_cl27]) ).
thf(zip_derived_cl13,plain,
( ( q @ sk__3 )
| ( rel_k @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45_005,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ~ ( r @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl57,plain,
( ( q @ sk__3 )
| ~ ( r @ sk__4 )
| ~ ( q @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl45]) ).
thf(zip_derived_cl56_006,plain,
r @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl11]) ).
thf(zip_derived_cl27_007,plain,
q @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl10]) ).
thf(zip_derived_cl61,plain,
q @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl56,zip_derived_cl27]) ).
thf(zip_derived_cl71,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl62,zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO399^1 : TPTP v8.1.2. 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.dYQKMFkdw9 true
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 05:21:06 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/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
% 0.43/0.68 % Total configuration time : 828
% 0.43/0.68 % Estimated wc time : 1656
% 0.43/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % Solved by lams/40_c.s.sh.
% 0.57/0.76 % done 20 iterations in 0.025s
% 0.57/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 % Terminating...
% 0.63/0.86 % Runner terminated.
% 1.95/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------