TSTP Solution File: SWV107^7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV107^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wKIUhz8OOu true
% Computer : n007.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 00:07:44 EDT 2023
% Result : Theorem 0.58s 1.04s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 35
% Syntax : Number of formulae : 47 ( 22 unt; 19 typ; 0 def)
% Number of atoms : 159 ( 18 equ; 0 cnn)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 405 ( 62 ~; 60 |; 0 &; 283 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 58 ( 58 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 82 ( 36 ^; 46 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(n3_type,type,
n3: mu ).
thf(n1_type,type,
n1: mu ).
thf(true_type,type,
true: $i > $o ).
thf(n6_type,type,
n6: mu ).
thf(n2_type,type,
n2: mu ).
thf(n999_type,type,
n999: mu ).
thf(rel_s4_type,type,
rel_s4: $i > $i > $o ).
thf(minus_type,type,
minus: mu > mu > mu ).
thf(sk__72_type,type,
sk__72: $i ).
thf(sk__71_type,type,
sk__71: $i ).
thf(n0_type,type,
n0: mu ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $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(geq_type,type,
geq: mu > mu > $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $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(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(quaternion_ds1_inuse_0019,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ~ ! [X8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ X8 )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X12 )
| ~ ( rel_s4 @ X10 @ X12 ) )
| ! [X14: $i] :
( ~ ! [X18: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ X18 )
| ~ ( rel_s4 @ X14 @ X18 ) )
| ~ ! [X16: $i] :
( ( geq @ n2 @ n0 @ X16 )
| ~ ( rel_s4 @ X14 @ X16 ) )
| ! [X20: $i] :
( ~ ! [X22: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X22 )
| ~ ( rel_s4 @ X20 @ X22 ) )
| ! [X24: $i] :
( ~ ! [X26: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X26 )
| ~ ( rel_s4 @ X24 @ X26 ) )
| ! [X28: $i] :
( ~ ! [X30: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X30 )
| ~ ( rel_s4 @ X28 @ X30 ) )
| ! [X32: $i] :
( ~ ! [X36: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ X36 )
| ~ ( rel_s4 @ X32 @ X36 ) )
| ~ ! [X34: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ X34 )
| ~ ( rel_s4 @ X32 @ X34 ) )
| ! [X38: $i] :
( ( true @ X38 )
| ~ ( rel_s4 @ X32 @ X38 ) )
| ~ ( rel_s4 @ X28 @ X32 ) )
| ~ ( rel_s4 @ X24 @ X28 ) )
| ~ ( rel_s4 @ X20 @ X24 ) )
| ~ ( rel_s4 @ X14 @ X20 ) )
| ~ ( rel_s4 @ X10 @ X14 ) )
| ~ ( rel_s4 @ X6 @ X10 ) )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ~ ! [X8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ X8 )
| ~ ( rel_s4 @ X6 @ X8 ) )
| ! [X10: $i] :
( ~ ! [X12: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X12 )
| ~ ( rel_s4 @ X10 @ X12 ) )
| ! [X14: $i] :
( ~ ! [X18: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ X18 )
| ~ ( rel_s4 @ X14 @ X18 ) )
| ~ ! [X16: $i] :
( ( geq @ n2 @ n0 @ X16 )
| ~ ( rel_s4 @ X14 @ X16 ) )
| ! [X20: $i] :
( ~ ! [X22: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X22 )
| ~ ( rel_s4 @ X20 @ X22 ) )
| ! [X24: $i] :
( ~ ! [X26: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X26 )
| ~ ( rel_s4 @ X24 @ X26 ) )
| ! [X28: $i] :
( ~ ! [X30: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ X30 )
| ~ ( rel_s4 @ X28 @ X30 ) )
| ! [X32: $i] :
( ~ ! [X36: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ X36 )
| ~ ( rel_s4 @ X32 @ X36 ) )
| ~ ! [X34: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ X34 )
| ~ ( rel_s4 @ X32 @ X34 ) )
| ! [X38: $i] :
( ( true @ X38 )
| ~ ( rel_s4 @ X32 @ X38 ) )
| ~ ( rel_s4 @ X28 @ X32 ) )
| ~ ( rel_s4 @ X24 @ X28 ) )
| ~ ( rel_s4 @ X20 @ X24 ) )
| ~ ( rel_s4 @ X14 @ X20 ) )
| ~ ( rel_s4 @ X10 @ X14 ) )
| ~ ( rel_s4 @ X6 @ X10 ) )
| ~ ( rel_s4 @ X4 @ X6 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl222,plain,
~ ( true @ sk__72 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl223,plain,
rel_s4 @ sk__71 @ sk__72,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ttrue,axiom,
mvalid @ ( mbox_s4 @ true ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( true @ X6 )
| ~ ( rel_s4 @ X4 @ X6 ) ) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ( true @ X0 )
| ~ ( rel_s4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl241,plain,
true @ sk__72,
inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl137]) ).
thf(zip_derived_cl243,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV107^7 : TPTP v8.1.2. Released v5.5.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wKIUhz8OOu true
% 0.13/0.35 % Computer : n007.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 : Tue Aug 29 07:21:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.56/0.65 % Total configuration time : 828
% 0.56/0.65 % Estimated wc time : 1656
% 0.56/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 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/30_sp5.sh running for 60s
% 0.58/0.86 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/1.04 % Solved by lams/40_c.s.sh.
% 0.58/1.04 % done 25 iterations in 0.286s
% 0.58/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.04 % SZS output start Refutation
% See solution above
% 0.58/1.04
% 0.58/1.04
% 0.58/1.04 % Terminating...
% 3.78/1.19 % Runner terminated.
% 3.78/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------