TSTP Solution File: SWV426^4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV426^4 : 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.49j1pwi479 true
% Computer : n004.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 83.43s 11.36s
% Output : Refutation 83.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 43
% Syntax : Number of formulae : 82 ( 46 unt; 19 typ; 0 def)
% Number of atoms : 209 ( 30 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 365 ( 39 ~; 49 |; 0 &; 253 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 108 ( 54 ^; 54 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(icl_says_type,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(b_type,type,
b: $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__6_type,type,
sk__6: $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__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $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(a_type,type,
a: $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(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_impl @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_atom @ s ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ! [X10: $i] :
( ( rel @ X8 @ X10 )
=> ( ~ ( a @ X10 )
| ( b @ X10 ) ) )
| ! [X12: $i] :
( ( rel @ X8 @ X12 )
=> ( s @ X12 ) ) ) )
| ! [X14: $i] :
( ( rel @ X6 @ X14 )
=> ( ~ ! [X16: $i] :
( ( rel @ X14 @ X16 )
=> ( ( a @ X16 )
| ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( s @ X18 ) ) ) )
| ! [X20: $i] :
( ( rel @ X14 @ X20 )
=> ( ( b @ X20 )
| ! [X22: $i] :
( ( rel @ X20 @ X22 )
=> ( s @ X22 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( rel @ X4 @ X6 )
=> ( ~ ! [X8: $i] :
( ( rel @ X6 @ X8 )
=> ( ! [X10: $i] :
( ( rel @ X8 @ X10 )
=> ( ~ ( a @ X10 )
| ( b @ X10 ) ) )
| ! [X12: $i] :
( ( rel @ X8 @ X12 )
=> ( s @ X12 ) ) ) )
| ! [X14: $i] :
( ( rel @ X6 @ X14 )
=> ( ~ ! [X16: $i] :
( ( rel @ X14 @ X16 )
=> ( ( a @ X16 )
| ! [X18: $i] :
( ( rel @ X16 @ X18 )
=> ( s @ X18 ) ) ) )
| ! [X20: $i] :
( ( rel @ X14 @ X20 )
=> ( ( b @ X20 )
| ! [X22: $i] :
( ( rel @ X20 @ X22 )
=> ( s @ X22 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
rel @ sk__6 @ sk__7,
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_2,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_2]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ sk__7 @ X0 )
| ( X1 @ X0 )
| ~ ( X1 @ ( sk__3 @ sk__6 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
rel @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3683,plain,
! [X0: $i > $o] :
( ~ ( X0 @ ( sk__3 @ sk__6 @ X0 ) )
| ( X0 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl9]) ).
thf(zip_derived_cl9_001,plain,
rel @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_002,plain,
rel @ sk__6 @ sk__7,
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_2]) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( rel @ sk__7 @ X0 )
| ( X1 @ X0 )
| ( rel @ sk__6 @ ( sk__3 @ sk__6 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl10199,plain,
! [X0: $i > $o] :
( ( rel @ sk__6 @ ( sk__3 @ sk__6 @ X0 ) )
| ( X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl232]) ).
thf(zip_derived_cl11281,plain,
( ( rel @ sk__6 @ sk__8 )
| ( rel @ sk__6 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3683,zip_derived_cl10199]) ).
thf(zip_derived_cl11316,plain,
rel @ sk__6 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl11281]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( rel @ X0 @ X1 )
| ( s @ X1 )
| ~ ( rel @ X0 @ X2 )
| ~ ( a @ X2 )
| ( b @ X2 )
| ~ ( rel @ sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11383,plain,
! [X0: $i] :
( ~ ( rel @ sk__5 @ sk__6 )
| ( b @ X0 )
| ~ ( a @ X0 )
| ~ ( rel @ sk__6 @ X0 )
| ( s @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11316,zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
rel @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11463,plain,
! [X0: $i] :
( ( b @ X0 )
| ~ ( a @ X0 )
| ~ ( rel @ sk__6 @ X0 )
| ( s @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl11383,zip_derived_cl11]) ).
thf(zip_derived_cl8,plain,
~ ( s @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12500,plain,
! [X0: $i] :
( ~ ( rel @ sk__6 @ X0 )
| ~ ( a @ X0 )
| ( b @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl11463,zip_derived_cl8]) ).
thf(zip_derived_cl7,plain,
~ ( b @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12501,plain,
( ~ ( a @ sk__7 )
| ~ ( rel @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12500,zip_derived_cl7]) ).
thf(zip_derived_cl9_003,plain,
rel @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,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_cl99,plain,
( ~ ( rel @ sk__6 @ sk__7 )
| ( a @ sk__7 )
| ( s @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl6_004,plain,
rel @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_005,plain,
~ ( s @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl114,plain,
a @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl6,zip_derived_cl8]) ).
thf(zip_derived_cl6_006,plain,
rel @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12542,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12501,zip_derived_cl114,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV426^4 : TPTP v8.1.2. Released v3.6.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.49j1pwi479 true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 08:48:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.19/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.42/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.42/0.86 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 83.43/11.36 % Solved by lams/40_c.s.sh.
% 83.43/11.36 % done 981 iterations in 10.648s
% 83.43/11.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 83.43/11.36 % SZS output start Refutation
% See solution above
% 83.43/11.36
% 83.43/11.36
% 83.43/11.36 % Terminating...
% 83.43/11.53 % Runner terminated.
% 83.43/11.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------