TSTP Solution File: LCL707^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL707^1 : TPTP v8.1.2. Bugfixed v5.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RmhkXTAFDV true
% Computer : n013.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 : Thu Aug 31 09:01:41 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 57 ( 34 unt; 14 typ; 0 def)
% Number of atoms : 115 ( 36 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 272 ( 31 ~; 49 |; 5 &; 179 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 101 ( 101 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 97 ( 50 ^; 47 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(mweakly_connected_type,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(sk__9_type,type,
sk__9: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ 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(mweakly_connected,axiom,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ) ).
thf('2',plain,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mweakly_connected]) ).
thf('3',plain,
( mweakly_connected
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( ( V_1 @ X6 @ X8 )
| ( X6 = X8 )
| ( V_1 @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
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_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('6',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('7',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
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('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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('10',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
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,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'9','11']) ).
thf('13',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('14',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'9','11']) ).
thf('15',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( mweakly_connected @ R )
=> ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] :
( mforall_prop
@ ^ [B: $i > $o] : ( mor @ ( mbox @ R @ ( mimplies @ ( mand @ A @ ( mbox @ R @ A ) ) @ B ) ) @ ( mbox @ R @ ( mimplies @ ( mand @ B @ ( mbox @ R @ B ) ) @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i,X10: $i] :
( ( ( X4 @ X6 @ X8 )
& ( X4 @ X6 @ X10 ) )
=> ( ( X4 @ X8 @ X10 )
| ( X8 = X10 )
| ( X4 @ X10 @ X8 ) ) )
=> ! [X12: $i,X14: $i > $o,X16: $i > $o] :
( ! [X18: $i] :
( ~ ! [X20: $i] :
( ( X14 @ X20 )
| ~ ( X4 @ X18 @ X20 ) )
| ~ ( X14 @ X18 )
| ( X16 @ X18 )
| ~ ( X4 @ X12 @ X18 ) )
| ! [X22: $i] :
( ~ ! [X24: $i] :
( ( X16 @ X24 )
| ~ ( X4 @ X22 @ X24 ) )
| ~ ( X16 @ X22 )
| ( X14 @ X22 )
| ~ ( X4 @ X12 @ X22 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i,X10: $i] :
( ( ( X4 @ X6 @ X8 )
& ( X4 @ X6 @ X10 ) )
=> ( ( X4 @ X8 @ X10 )
| ( X8 = X10 )
| ( X4 @ X10 @ X8 ) ) )
=> ! [X12: $i,X14: $i > $o,X16: $i > $o] :
( ! [X18: $i] :
( ~ ! [X20: $i] :
( ( X14 @ X20 )
| ~ ( X4 @ X18 @ X20 ) )
| ~ ( X14 @ X18 )
| ( X16 @ X18 )
| ~ ( X4 @ X12 @ X18 ) )
| ! [X22: $i] :
( ~ ! [X24: $i] :
( ( X16 @ X24 )
| ~ ( X4 @ X22 @ X24 ) )
| ~ ( X16 @ X22 )
| ( X14 @ X22 )
| ~ ( X4 @ X12 @ X22 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( sk__8 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X4: $i] :
( ( sk__9 @ X4 )
| ~ ( sk__6 @ sk__11 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
sk__6 @ sk__7 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
sk__6 @ sk__7 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sk__6 @ X0 @ X1 )
| ~ ( sk__6 @ X0 @ X2 )
| ( sk__6 @ X1 @ X2 )
| ( X1 = X2 )
| ( sk__6 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( sk__6 @ X0 @ sk__11 )
| ( sk__11 = X0 )
| ( sk__6 @ sk__11 @ X0 )
| ~ ( sk__6 @ sk__7 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl24,plain,
( ( sk__6 @ sk__11 @ sk__10 )
| ( sk__11 = sk__10 )
| ( sk__6 @ sk__10 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).
thf(zip_derived_cl31,plain,
( ( sk__9 @ sk__10 )
| ( sk__6 @ sk__10 @ sk__11 )
| ( sk__11 = sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl24]) ).
thf(zip_derived_cl2,plain,
~ ( sk__9 @ sk__10 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl35,plain,
( ( sk__6 @ sk__10 @ sk__11 )
| ( sk__11 = sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X3: $i] :
( ( sk__8 @ X3 )
| ~ ( sk__6 @ sk__10 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl39,plain,
( ( sk__11 = sk__10 )
| ( sk__8 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl4]) ).
thf(zip_derived_cl6_001,plain,
~ ( sk__8 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl51,plain,
sk__11 = sk__10,
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
sk__8 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl53,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl51,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL707^1 : TPTP v8.1.2. Bugfixed v5.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RmhkXTAFDV true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 05:05:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.20/0.62 % Total configuration time : 828
% 0.20/0.62 % Estimated wc time : 1656
% 0.20/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % Solved by lams/40_c.s.sh.
% 0.20/0.75 % done 13 iterations in 0.022s
% 0.20/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.75 % SZS output start Refutation
% See solution above
% 0.20/0.75
% 0.20/0.75
% 0.20/0.75 % Terminating...
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.57/0.84 % Runner terminated.
% 1.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------