TSTP Solution File: PUZ086^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ086^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KcyobLHVtt true
% Computer : n020.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 13:31:06 EDT 2023
% Result : Theorem 1.36s 0.84s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 42
% Syntax : Number of formulae : 72 ( 33 unt; 16 typ; 0 def)
% Number of atoms : 161 ( 21 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 272 ( 50 ~; 42 |; 0 &; 180 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 99 ( 42 ^; 57 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(peter_type,type,
peter: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(place_type,type,
place: $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(appointment_type,type,
appointment: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(time_type,type,
time: $i > $o ).
thf(john_type,type,
john: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(mor_type,type,
mor: ( $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(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',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('3',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(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',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('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('9',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
mvalid @ ( mand @ ( mbox @ peter @ ( mbox @ john @ appointment ) ) @ ( mbox @ john @ ( mbox @ peter @ appointment ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
~ ( ~ ! [X6: $i] :
( ! [X8: $i] :
( ( appointment @ X8 )
| ~ ( john @ X6 @ X8 ) )
| ~ ( peter @ X4 @ X6 ) )
| ~ ! [X10: $i] :
( ! [X12: $i] :
( ( appointment @ X12 )
| ~ ( peter @ X10 @ X12 ) )
| ~ ( john @ X4 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
~ ( ~ ! [X6: $i] :
( ! [X8: $i] :
( ( appointment @ X8 )
| ~ ( john @ X6 @ X8 ) )
| ~ ( peter @ X4 @ X6 ) )
| ~ ! [X10: $i] :
( ! [X12: $i] :
( ( appointment @ X12 )
| ~ ( peter @ X10 @ X12 ) )
| ~ ( john @ X4 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
( ( peter @ sk__12 @ sk__13 )
| ~ ( appointment @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
( ( john @ sk__13 @ sk__14 )
| ~ ( appointment @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf('10',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(ax_d,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ ( mimplies @ ( mand @ place @ time ) @ appointment ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ~ ( time @ X8 )
| ~ ( place @ X8 )
| ( appointment @ X8 )
| ~ ( john @ X6 @ X8 ) )
| ~ ( peter @ X4 @ X6 ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( john @ X0 @ X1 )
| ( appointment @ X1 )
| ~ ( place @ X1 )
| ~ ( time @ X1 )
| ~ ( peter @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('12',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('13',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(refl_peter,axiom,
mreflexive @ peter ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( peter @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( peter @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(refl_john,axiom,
mreflexive @ john ).
thf(zf_stmt_4,axiom,
! [X4: $i] : ( john @ X4 @ X4 ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] : ( john @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(ax_b,axiom,
mvalid @ ( mbox @ peter @ ( mbox @ john @ place ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( place @ X8 )
| ~ ( john @ X6 @ X8 ) )
| ~ ( peter @ X4 @ X6 ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( john @ X0 @ X1 )
| ( place @ X1 )
| ~ ( peter @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( peter @ X1 @ X0 )
| ( place @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] : ( place @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl28]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( peter @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(ax_a,axiom,
mvalid @ ( mbox @ peter @ time ) ).
thf(zf_stmt_6,axiom,
! [X4: $i,X6: $i] :
( ( time @ X6 )
| ~ ( peter @ X4 @ X6 ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( time @ X0 )
| ~ ( peter @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] : ( time @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( john @ X0 @ X1 )
| ( appointment @ X1 )
| ~ ( peter @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl48,zip_derived_cl25]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ~ ( appointment @ sk__16 )
| ~ ( peter @ X0 @ sk__13 )
| ( appointment @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl99]) ).
thf(zip_derived_cl20,plain,
( ~ ( appointment @ sk__14 )
| ~ ( appointment @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ~ ( peter @ X0 @ sk__13 )
| ~ ( appointment @ sk__16 ) ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl20]) ).
thf(zip_derived_cl107,plain,
~ ( appointment @ sk__16 ),
inference(clc,[status(thm)],[zip_derived_cl23,zip_derived_cl106]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( peter @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i] : ( john @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl99_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( john @ X0 @ X1 )
| ( appointment @ X1 )
| ~ ( peter @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl48,zip_derived_cl25]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ~ ( peter @ X1 @ X0 )
| ( appointment @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl99]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] : ( appointment @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl102]) ).
thf(zip_derived_cl114,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ086^1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KcyobLHVtt true
% 0.13/0.35 % Computer : n020.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 : Sat Aug 26 22:10:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % 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
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.36/0.83 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.36/0.84 % Solved by lams/40_noforms.sh.
% 1.36/0.84 % done 24 iterations in 0.083s
% 1.36/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.84 % SZS output start Refutation
% See solution above
% 1.36/0.84
% 1.36/0.84
% 1.36/0.84 % Terminating...
% 1.80/0.97 % Runner terminated.
% 1.80/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------