TSTP Solution File: LCL716^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL716^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hWFsoY1btd true
% Computer : n028.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 09:01:43 EDT 2023
% Result : Theorem 1.83s 0.88s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of formulae : 56 ( 29 unt; 12 typ; 0 def)
% Number of atoms : 98 ( 39 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 275 ( 47 ~; 34 |; 5 &; 181 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 110 ( 46 ^; 59 !; 5 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__12_type,type,
sk__12: ( $i > $o ) > $i > $i ).
thf(mweakly_dense_type,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(sk__13_type,type,
sk__13: ( $i > $o ) > $i > $i ).
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_dense,axiom,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ U @ T )
& ( R @ S @ U ) ) ) ) ) ).
thf('2',plain,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ U @ T )
& ( R @ S @ U ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mweakly_dense]) ).
thf('3',plain,
( mweakly_dense
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( V_1 @ X4 @ X6 )
=> ? [X10: $i] :
( ( V_1 @ X10 @ X6 )
& ( V_1 @ X4 @ X10 ) ) ) ) ),
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(conj,conjecture,
! [R: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ R @ ( mbox @ R @ A ) ) @ ( mbox @ R @ A ) ) ) )
=> ( mweakly_dense @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ~ ! [X10: $i] :
( ! [X12: $i] :
( ( X8 @ X12 )
| ~ ( X4 @ X10 @ X12 ) )
| ~ ( X4 @ X6 @ X10 ) )
| ! [X14: $i] :
( ( X8 @ X14 )
| ~ ( X4 @ X6 @ X14 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( X4 @ X16 @ X18 )
=> ? [X22: $i] :
( ( X4 @ X22 @ X18 )
& ( X4 @ X16 @ X22 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ~ ! [X10: $i] :
( ! [X12: $i] :
( ( X8 @ X12 )
| ~ ( X4 @ X10 @ X12 ) )
| ~ ( X4 @ X6 @ X10 ) )
| ! [X14: $i] :
( ( X8 @ X14 )
| ~ ( X4 @ X6 @ X14 ) ) )
=> ! [X16: $i,X18: $i,X20: $i] :
( ( X4 @ X16 @ X18 )
=> ? [X22: $i] :
( ( X4 @ X22 @ X18 )
& ( X4 @ X16 @ X22 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( sk__8 @ X1 @ ( sk__12 @ X0 @ X1 ) )
| ~ ( sk__8 @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl65,plain,
! [X0: $i > $o] :
( ( X0 @ sk__10 )
| ( sk__8 @ sk__9 @ ( sk__12 @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ~ ( X0 @ ( sk__13 @ X0 @ X1 ) )
| ~ ( sk__8 @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ ( sk__13
@ ^ [Y0: $i] : ( X0 != Y0 )
@ X1 ) )
| ~ ( sk__8 @ X1 @ X0 )
| ( ^ [Y0: $i] : ( X0 != Y0 )
@ X0 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk__13 @ ( $i != X0 ) @ X1 ) )
| ~ ( sk__8 @ X1 @ X0 )
| ( X0 != X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk__13 @ ( $i != X0 ) @ X1 ) )
| ~ ( sk__8 @ X1 @ X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( sk__13 @ ( $i != X0 ) @ X1 ) )
| ~ ( sk__8 @ X1 @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl4_001,plain,
sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( sk__8 @ ( sk__12 @ X0 @ X1 ) @ ( sk__13 @ X0 @ X1 ) )
| ~ ( sk__8 @ X1 @ X2 )
| ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o] :
( ( X0 @ sk__10 )
| ( sk__8 @ ( sk__12 @ X0 @ sk__9 ) @ ( sk__13 @ X0 @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ( sk__8 @ ( sk__12 @ ( $i != X0 ) @ sk__9 ) @ X0 )
| ~ ( sk__8 @ sk__9 @ X0 )
| ( X0 != sk__10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( sk__8 @ ( sk__12 @ ( $i != X0 ) @ sk__9 ) @ X0 )
| ~ ( sk__8 @ sk__9 @ X0 )
| ( X0 != sk__10 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl220,plain,
( ~ ( sk__8 @ sk__9 @ sk__10 )
| ( sk__8 @ ( sk__12 @ ( $i != sk__10 ) @ sk__9 ) @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl4_002,plain,
sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl236,plain,
sk__8 @ ( sk__12 @ ( $i != sk__10 ) @ sk__9 ) @ sk__10,
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] :
( ~ ( sk__8 @ X3 @ sk__10 )
| ~ ( sk__8 @ sk__9 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl237,plain,
~ ( sk__8 @ sk__9 @ ( sk__12 @ ( $i != sk__10 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl3]) ).
thf(zip_derived_cl249,plain,
sk__10 != sk__10,
inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl237]) ).
thf(zip_derived_cl251,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL716^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hWFsoY1btd true
% 0.13/0.35 % Computer : n028.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 : Thu Aug 24 22:09:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.83/0.88 % Solved by lams/40_noforms.sh.
% 1.83/0.88 % done 31 iterations in 0.094s
% 1.83/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.83/0.88 % SZS output start Refutation
% See solution above
% 1.83/0.88
% 1.83/0.88
% 1.83/0.88 % Terminating...
% 1.83/0.95 % Runner terminated.
% 1.83/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------