TSTP Solution File: PUZ149^13 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ149^13 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QuxoggSqZc true
% Computer : n008.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 13:31:22 EDT 2023
% Result : Theorem 0.20s 0.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 37
% Syntax : Number of formulae : 66 ( 29 unt; 17 typ; 0 def)
% Number of atoms : 127 ( 18 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 276 ( 34 ~; 20 |; 15 &; 196 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 45 ^; 20 !; 10 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mindex_type,type,
mindex: $tType ).
thf('#make_c_type',type,
'#make_c': mindex ).
thf(sk__5_type,type,
sk__5: mworld ).
thf(mdia_type,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(mrel_type,type,
mrel: mindex > mworld > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mbox_type,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(sk__10_type,type,
sk__10: mworld ).
thf(sk__4_type,type,
sk__4: mworld ).
thf('#pour_a_type',type,
'#pour_a': mindex ).
thf('#pour_b_type',type,
'#pour_b': mindex ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(acid_type,type,
acid: mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mdia_def,axiom,
( mdia
= ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ R @ W @ V ) ) ) ) ).
thf('0',plain,
( mdia
= ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('1',plain,
( mdia
= ( ^ [V_1: mindex,V_2: mworld > $o,V_3: mworld] :
? [X4: mworld] :
( ( V_2 @ X4 )
& ( mrel @ V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('2',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('3',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(make_c_acid,axiom,
mlocal @ ( mdia @ '#make_c' @ acid ) ).
thf(zf_stmt_0,axiom,
? [X4: mworld] :
( ( acid @ X4 )
& ( mrel @ '#make_c' @ mactual @ X4 ) ) ).
thf(zip_derived_cl13,plain,
mrel @ '#make_c' @ mactual @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ R @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ R @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: mindex,V_2: mworld > $o,V_3: mworld] :
! [X4: mworld] :
( ( mrel @ V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('6',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('7',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(pour_ab_make_axiom_2,axiom,
mlocal @ ( mimplies @ ( mbox @ '#pour_a' @ ( mbox @ '#pour_b' @ ( mnot @ acid ) ) ) @ ( mbox @ '#make_c' @ ( mnot @ acid ) ) ) ).
thf(zf_stmt_1,axiom,
( ! [X4: mworld] :
( ( mrel @ '#pour_a' @ mactual @ X4 )
=> ! [X6: mworld] :
( ( mrel @ '#pour_b' @ X4 @ X6 )
=> ~ ( acid @ X6 ) ) )
=> ! [X8: mworld] :
( ( mrel @ '#make_c' @ mactual @ X8 )
=> ~ ( acid @ X8 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: mworld] :
( ~ ( mrel @ '#make_c' @ mactual @ X0 )
| ~ ( acid @ X0 )
| ( mrel @ '#pour_b' @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl52,plain,
( ( mrel @ '#pour_b' @ sk__4 @ sk__5 )
| ~ ( acid @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
acid @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
mrel @ '#pour_b' @ sk__4 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl14]) ).
thf(zip_derived_cl13_001,plain,
mrel @ '#make_c' @ mactual @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: mworld] :
( ~ ( mrel @ '#make_c' @ mactual @ X0 )
| ~ ( acid @ X0 )
| ( mrel @ '#pour_a' @ mactual @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
( ( mrel @ '#pour_a' @ mactual @ sk__4 )
| ~ ( acid @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(zip_derived_cl14_002,plain,
acid @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
mrel @ '#pour_a' @ mactual @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl14]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('11',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
mlocal @ ( mand @ ( mdia @ '#pour_a' @ ( mnot @ acid ) ) @ ( mdia @ '#pour_a' @ ( mdia @ '#pour_b' @ acid ) ) ) ).
thf(zf_stmt_2,conjecture,
( ? [X6: mworld] :
( ? [X8: mworld] :
( ( acid @ X8 )
& ( mrel @ '#pour_b' @ X6 @ X8 ) )
& ( mrel @ '#pour_a' @ mactual @ X6 ) )
& ? [X4: mworld] :
( ~ ( acid @ X4 )
& ( mrel @ '#pour_a' @ mactual @ X4 ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ? [X6: mworld] :
( ? [X8: mworld] :
( ( acid @ X8 )
& ( mrel @ '#pour_b' @ X6 @ X8 ) )
& ( mrel @ '#pour_a' @ mactual @ X6 ) )
& ? [X4: mworld] :
( ~ ( acid @ X4 )
& ( mrel @ '#pour_a' @ mactual @ X4 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl15,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ '#pour_a' @ mactual @ X0 )
| ~ ( acid @ X1 )
| ~ ( mrel @ '#pour_b' @ X0 @ X1 )
| ~ ( mrel @ '#pour_a' @ mactual @ X2 )
| ( acid @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(pour_a_acid,axiom,
mlocal @ ( mbox @ '#pour_a' @ ( mnot @ acid ) ) ).
thf(zf_stmt_4,axiom,
! [X4: mworld] :
( ( mrel @ '#pour_a' @ mactual @ X4 )
=> ~ ( acid @ X4 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: mworld] :
( ~ ( acid @ X0 )
| ~ ( mrel @ '#pour_a' @ mactual @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl68,plain,
! [X0: mworld,X1: mworld,X2: mworld] :
( ~ ( mrel @ '#pour_a' @ mactual @ X2 )
| ~ ( mrel @ '#pour_b' @ X0 @ X1 )
| ~ ( acid @ X1 )
| ~ ( mrel @ '#pour_a' @ mactual @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).
thf(zip_derived_cl69,plain,
! [X0: mworld,X1: mworld] :
( ~ ( mrel @ '#pour_a' @ mactual @ X0 )
| ~ ( mrel @ '#pour_b' @ X0 @ X1 )
| ~ ( acid @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl74,plain,
! [X0: mworld] :
( ~ ( acid @ X0 )
| ~ ( mrel @ '#pour_b' @ sk__4 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl69]) ).
thf(zip_derived_cl78,plain,
~ ( acid @ sk__5 ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl74]) ).
thf(zip_derived_cl13_003,plain,
mrel @ '#make_c' @ mactual @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: mworld] :
( ~ ( mrel @ '#make_c' @ mactual @ X0 )
| ~ ( acid @ X0 )
| ( acid @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl32,plain,
( ( acid @ sk__5 )
| ~ ( acid @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl4]) ).
thf(zip_derived_cl14_004,plain,
acid @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
acid @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl14]) ).
thf(zip_derived_cl80,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ149^13 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QuxoggSqZc true
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 22:51:32 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in HO mode
% 0.20/0.64 % Total configuration time : 828
% 0.20/0.64 % Estimated wc time : 1656
% 0.20/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77 % Solved by lams/40_c_ic.sh.
% 0.20/0.77 % done 33 iterations in 0.023s
% 0.20/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77 % SZS output start Refutation
% See solution above
% 0.20/0.77
% 0.20/0.77
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77 % Terminating...
% 1.45/0.85 % Runner terminated.
% 1.66/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------