TSTP Solution File: PUZ141^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yXlFf4t1EF true
% Computer : n010.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 13:31:20 EDT 2023
% Result : Theorem 1.30s 0.83s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 52 ( 21 unt; 12 typ; 0 def)
% Number of atoms : 79 ( 39 equ; 7 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 301 ( 24 ~; 10 |; 0 &; 245 @)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 9 usr; 9 con; 0-2 aty)
% ( 6 !!; 1 ??; 0 @@+; 0 @@-)
% Number of variables : 48 ( 7 ^; 38 !; 3 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(position_type,type,
position: $tType ).
thf(direction_type,type,
direction: $tType ).
thf(movelist_type,type,
movelist: $tType ).
thf(c00_type,type,
c00: position ).
thf(playerpos_type,type,
playerpos: movelist > position ).
thf(c10_type,type,
c10: position ).
thf(movedir_type,type,
movedir: movelist > direction > movelist ).
thf(next_type,type,
next: position > direction > position ).
thf(right_type,type,
right: direction ).
thf(c20_type,type,
c20: position ).
thf(wall_type,type,
wall: position > $o ).
thf(nomove_type,type,
nomove: movelist ).
thf(c10_defin,axiom,
( c10
= ( next @ c00 @ right ) ) ).
thf('0',plain,
( c10
= ( next @ c00 @ right ) ),
inference(simplify_rw_rule,[status(thm)],[c10_defin]) ).
thf('1',plain,
( c10
= ( next @ c00 @ right ) ),
define([status(thm)]) ).
thf(c10_axiom,axiom,
( ( wall @ c10 )
<=> $false ) ).
thf(zf_stmt_0,axiom,
~ ( wall @ ( next @ c00 @ right ) ) ).
thf(zip_derived_cl6,plain,
~ ( wall @ ( next @ c00 @ right ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(start_axiom,axiom,
( ( playerpos @ nomove )
= c00 ) ).
thf(zip_derived_cl8,plain,
( ( playerpos @ nomove )
= c00 ),
inference(cnf,[status(esa)],[start_axiom]) ).
thf(player_move_legal,axiom,
! [PO: position,M: movelist,D: direction] :
( ( ( playerpos @ M )
= PO )
=> ( ~ ( wall @ ( next @ PO @ D ) )
=> ( ( playerpos @ ( movedir @ M @ D ) )
= ( next @ PO @ D ) ) ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: position] :
( !!
@ ^ [Y1: movelist] :
( !!
@ ^ [Y2: direction] :
( ( ( playerpos @ Y1 )
= Y0 )
=> ( ( (~) @ ( wall @ ( next @ Y0 @ Y2 ) ) )
=> ( ( playerpos @ ( movedir @ Y1 @ Y2 ) )
= ( next @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[player_move_legal]) ).
thf(zip_derived_cl28,plain,
! [X2: position] :
( !!
@ ^ [Y0: movelist] :
( !!
@ ^ [Y1: direction] :
( ( ( playerpos @ Y0 )
= X2 )
=> ( ( (~) @ ( wall @ ( next @ X2 @ Y1 ) ) )
=> ( ( playerpos @ ( movedir @ Y0 @ Y1 ) )
= ( next @ X2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl29,plain,
! [X2: position,X4: movelist] :
( !!
@ ^ [Y0: direction] :
( ( ( playerpos @ X4 )
= X2 )
=> ( ( (~) @ ( wall @ ( next @ X2 @ Y0 ) ) )
=> ( ( playerpos @ ( movedir @ X4 @ Y0 ) )
= ( next @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: position,X4: movelist,X6: direction] :
( ( ( playerpos @ X4 )
= X2 )
=> ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
=> ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ X2 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: position,X4: movelist,X6: direction] :
( ( ( playerpos @ X4 )
!= X2 )
| ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
=> ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ X2 @ X6 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: position,X4: movelist,X6: direction] :
( ( ( playerpos @ X4 )
!= X2 )
| ( ( (~) @ ( wall @ ( next @ X2 @ X6 ) ) )
=> ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ X2 @ X6 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
! [X4: movelist,X6: direction] :
( ( (~) @ ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) ) )
=> ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
! [X4: movelist,X6: direction] :
( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
| ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
! [X4: movelist,X6: direction] :
( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
| ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl35_001,plain,
! [X4: movelist,X6: direction] :
( ( wall @ ( next @ ( playerpos @ X4 ) @ X6 ) )
| ( ( playerpos @ ( movedir @ X4 @ X6 ) )
= ( next @ ( playerpos @ X4 ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(c20_defin,axiom,
( c20
= ( next @ c10 @ right ) ) ).
thf('2',plain,
( c20
= ( next @ c10 @ right ) ),
inference(simplify_rw_rule,[status(thm)],[c20_defin,'1']) ).
thf('3',plain,
( c20
= ( next @ c10 @ right ) ),
define([status(thm)]) ).
thf(exercise,conjecture,
? [M: movelist] :
( ( playerpos @ M )
= c20 ) ).
thf(zf_stmt_1,conjecture,
? [X4: movelist] :
( ( playerpos @ X4 )
= ( next @ ( next @ c00 @ right ) @ right ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ? [X4: movelist] :
( ( playerpos @ X4 )
= ( next @ ( next @ c00 @ right ) @ right ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( ??
@ ^ [Y0: movelist] :
( ( playerpos @ Y0 )
= ( next @ ( next @ c00 @ right ) @ right ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl14,plain,
! [X2: movelist] :
( ( playerpos @ X2 )
!= ( next @ ( next @ c00 @ right ) @ right ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: movelist] :
( ( playerpos @ X2 )
!= ( next @ ( next @ c00 @ right ) @ right ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl38,plain,
! [X0: direction,X1: movelist] :
( ( ( next @ ( playerpos @ X1 ) @ X0 )
!= ( next @ ( next @ c00 @ right ) @ right ) )
| ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl15]) ).
thf(zip_derived_cl40,plain,
! [X0: direction,X1: movelist] :
( ( ( next @ ( playerpos @ X1 ) @ X0 )
!= ( next @ ( next @ c00 @ right ) @ right ) )
| ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl38]) ).
thf(c20_axiom,axiom,
( ( wall @ c20 )
<=> $false ) ).
thf(zf_stmt_3,axiom,
~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) ).
thf(zip_derived_cl7,plain,
~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl150,plain,
! [X0: direction,X1: movelist] :
( ( next @ ( playerpos @ X1 ) @ X0 )
!= ( next @ ( next @ c00 @ right ) @ right ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl7]) ).
thf(zip_derived_cl151,plain,
! [X0: direction,X1: movelist,X2: direction] :
( ( ( next @ ( next @ ( playerpos @ X1 ) @ X0 ) @ X2 )
!= ( next @ ( next @ c00 @ right ) @ right ) )
| ( wall @ ( next @ ( playerpos @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl150]) ).
thf(zip_derived_cl174,plain,
! [X0: direction,X1: direction] :
( ( ( next @ ( next @ c00 @ X1 ) @ X0 )
!= ( next @ ( next @ c00 @ right ) @ right ) )
| ( wall @ ( next @ ( playerpos @ nomove ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl151]) ).
thf(zip_derived_cl8_002,plain,
( ( playerpos @ nomove )
= c00 ),
inference(cnf,[status(esa)],[start_axiom]) ).
thf(zip_derived_cl186,plain,
! [X0: direction,X1: direction] :
( ( ( next @ ( next @ c00 @ X1 ) @ X0 )
!= ( next @ ( next @ c00 @ right ) @ right ) )
| ( wall @ ( next @ c00 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl8]) ).
thf(zip_derived_cl197,plain,
wall @ ( next @ c00 @ right ),
inference(eq_res,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl204,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yXlFf4t1EF true
% 0.13/0.34 % Computer : n010.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 : Sat Aug 26 22:45:20 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
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /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
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.97/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.97/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.97/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.30/0.83 % Solved by lams/20_acsne_simpl.sh.
% 1.30/0.83 % done 44 iterations in 0.045s
% 1.30/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.83 % SZS output start Refutation
% See solution above
% 1.30/0.83
% 1.30/0.83
% 1.30/0.83 % Terminating...
% 1.66/0.86 % Runner terminated.
% 1.66/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------