TSTP Solution File: SWV426^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV426^2 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QpKWY92Sws true
% Computer : n031.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 00:09:53 EDT 2023
% Result : Theorem 125.21s 16.84s
% Output : Refutation 125.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 47
% Syntax : Number of formulae : 76 ( 41 unt; 21 typ; 0 def)
% Number of atoms : 199 ( 30 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 347 ( 32 ~; 43 |; 0 &; 245 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 109 ( 109 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 118 ( 54 ^; 64 !; 0 ?; 118 :)
% Comments :
%------------------------------------------------------------------------------
thf(icl_says_type,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(s_type,type,
s: $i > $o ).
thf(rel_type,type,
rel: $i > $i > $o ).
thf(icl_atom_type,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > ( $i > $o ) > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__2_type,type,
sk__2: $i > ( $i > $o ) > $i ).
thf(icl_impl_type,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(icl_princ_type,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(t_type,type,
t: $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(iclval_type,type,
iclval: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(icl_s4_valid,axiom,
( iclval
= ( ^ [X: $i > $o] : ( mvalid @ X ) ) ) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf('2',plain,
( iclval
= ( ^ [X: $i > $o] : ( mvalid @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_s4_valid,'1']) ).
thf('3',plain,
( iclval
= ( ^ [V_1: $i > $o] : ( mvalid @ V_1 ) ) ),
define([status(thm)]) ).
thf(icl_says,axiom,
( icl_says
= ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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('8',plain,
( icl_says
= ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_says,'5','7']) ).
thf('9',plain,
( icl_says
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mor @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(icl_impl,axiom,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('10',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('11',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'7','11']) ).
thf('13',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('14',plain,
( icl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_impl,'5','13','7','11']) ).
thf('15',plain,
( icl_impl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mimpl @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(icl_princ,axiom,
( icl_princ
= ( ^ [P: $i > $o] : P ) ) ).
thf('16',plain,
( icl_princ
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).
thf('17',plain,
( icl_princ
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(icl_atom,axiom,
( icl_atom
= ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ) ).
thf('18',plain,
( icl_atom
= ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ),
inference(simplify_rw_rule,[status(thm)],[icl_atom,'5']) ).
thf('19',plain,
( icl_atom
= ( ^ [V_1: $i > $o] : ( mbox @ rel @ V_1 ) ) ),
define([status(thm)]) ).
thf(cuc,conjecture,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ( a @ X8 )
| ! [X10: $i] :
( ( rel @ X8 @ X10 )
=> ( ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( s @ X12 ) )
| ! [X14: $i] :
( ( rel @ X10 @ X14 )
=> ( t @ X14 ) ) ) ) ) )
| ! [X16: $i] :
( ( rel @ X6 @ X16 )
=> ( ~ ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( ( a @ X18 )
| ! [X20: $i] :
( ( rel @ X18 @ X20 )
=> ( s @ X20 ) ) ) )
| ! [X22: $i] :
( ( rel @ X16 @ X22 )
=> ( ( a @ X22 )
| ! [X24: $i] :
( ( rel @ X22 @ X24 )
=> ( t @ X24 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ( a @ X8 )
| ! [X10: $i] :
( ( rel @ X8 @ X10 )
=> ( ~ ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( s @ X12 ) )
| ! [X14: $i] :
( ( rel @ X10 @ X14 )
=> ( t @ X14 ) ) ) ) ) )
| ! [X16: $i] :
( ( rel @ X6 @ X16 )
=> ( ~ ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( ( a @ X18 )
| ! [X20: $i] :
( ( rel @ X18 @ X20 )
=> ( s @ X20 ) ) ) )
| ! [X22: $i] :
( ( rel @ X16 @ X22 )
=> ( ( a @ X22 )
| ! [X24: $i] :
( ( rel @ X22 @ X24 )
=> ( t @ X24 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel @ X0 @ X1 )
| ~ ( s @ ( sk__9 @ X1 ) )
| ( t @ X2 )
| ~ ( rel @ X1 @ X2 )
| ( a @ X0 )
| ~ ( rel @ sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( a @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(refl_axiom,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ A ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i > $o,X6: $i] :
( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( X4 @ X8 ) )
| ( X4 @ X6 ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i] :
( ~ ( X0 @ ( sk__2 @ X1 @ X0 ) )
| ( X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i > $o] :
( ( rel @ X0 @ ( sk__2 @ X0 @ X1 ) )
| ( X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ( rel @ X0 @ X0 )
| ( rel @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] : ( rel @ X0 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl10,plain,
rel @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X3: $i,X4: $i] :
( ~ ( rel @ X3 @ X4 )
| ( s @ X4 )
| ( a @ X3 )
| ~ ( rel @ sk__6 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( t @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
rel @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel @ X0 @ X1 )
| ( rel @ X1 @ ( sk__9 @ X1 ) )
| ( t @ X2 )
| ~ ( rel @ X1 @ X2 )
| ( a @ X0 )
| ~ ( rel @ sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
rel @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(trans_axiom,axiom,
! [B: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ B ) @ ( mbox @ rel @ ( mbox @ rel @ B ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i > $o,X6: $i] :
( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( X4 @ X8 ) )
| ! [X10: $i] :
( ( rel @ X6 @ X10 )
=> ! [X12: $i] :
( ( rel @ X10 @ X12 )
=> ( X4 @ X12 ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
( ~ ( X0 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( rel @ X1 @ X2 )
| ( X0 @ X3 )
| ~ ( rel @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ sk__6 @ X0 )
| ( X1 @ X0 )
| ~ ( X1 @ ( sk__3 @ sk__5 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(zip_derived_cl12_001,plain,
rel @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i > $o,X2: $i,X3: $i] :
( ( rel @ X0 @ ( sk__3 @ X0 @ X1 ) )
| ~ ( rel @ X0 @ X2 )
| ( X1 @ X3 )
| ~ ( rel @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl248,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ sk__6 @ X0 )
| ( X1 @ X0 )
| ( rel @ sk__5 @ ( sk__3 @ sk__5 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl17172,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl6,zip_derived_cl8,zip_derived_cl91,zip_derived_cl10,zip_derived_cl11,zip_derived_cl9,zip_derived_cl7,zip_derived_cl5,zip_derived_cl131,zip_derived_cl248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV426^2 : TPTP v8.1.2. Released v3.6.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QpKWY92Sws true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 07:53:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.62 % Total configuration time : 828
% 0.21/0.62 % Estimated wc time : 1656
% 0.21/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.35/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.49/0.85 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 125.21/16.84 % Solved by lams/40_c.s.sh.
% 125.21/16.84 % done 906 iterations in 16.111s
% 125.21/16.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 125.21/16.84 % SZS output start Refutation
% See solution above
% 125.21/16.84
% 125.21/16.84
% 125.21/16.84 % Terminating...
% 126.43/16.96 % Runner terminated.
% 126.43/16.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------