TSTP Solution File: PUZ141^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n022.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 13:22:01 EDT 2023
% Result : Theorem 202.45s 202.77s
% Output : Proof 202.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_direction,type,
direction: $tType ).
thf(ty_movelist,type,
movelist: $tType ).
thf(ty_position,type,
position: $tType ).
thf(ty_next,type,
next: position > direction > position ).
thf(ty_nomove,type,
nomove: movelist ).
thf(ty_c00,type,
c00: position ).
thf(ty_movedir,type,
movedir: movelist > direction > movelist ).
thf(ty_wall,type,
wall: position > $o ).
thf(ty_playerpos,type,
playerpos: movelist > position ).
thf(ty_right,type,
right: direction ).
thf(sP1,plain,
( sP1
<=> ( ( ( playerpos @ nomove )
= c00 )
=> ( ~ ( wall @ ( next @ c00 @ right ) )
=> ( ( playerpos @ ( movedir @ nomove @ right ) )
= ( next @ c00 @ right ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( playerpos @ nomove )
= c00 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( ( playerpos @ ( movedir @ nomove @ right ) )
= ( next @ c00 @ right ) )
=> ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ right ) )
=> ( ( playerpos @ ( movedir @ ( movedir @ nomove @ right ) @ right ) )
= ( next @ ( next @ c00 @ right ) @ right ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: position,X2: movelist,X3: direction] :
( ( ( playerpos @ X2 )
= X1 )
=> ( ~ ( wall @ ( next @ X1 @ X3 ) )
=> ( ( playerpos @ ( movedir @ X2 @ X3 ) )
= ( next @ X1 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( playerpos @ ( movedir @ nomove @ right ) )
= ( next @ c00 @ right ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( playerpos @ ( movedir @ ( movedir @ nomove @ right ) @ right ) )
= ( next @ ( next @ c00 @ right ) @ right ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: direction] :
( sP2
=> ( ~ ( wall @ ( next @ c00 @ X1 ) )
=> ( ( playerpos @ ( movedir @ nomove @ X1 ) )
= ( next @ c00 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: direction] :
( sP5
=> ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ X1 ) )
=> ( ( playerpos @ ( movedir @ ( movedir @ nomove @ right ) @ X1 ) )
= ( next @ ( next @ c00 @ right ) @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( wall @ ( next @ ( next @ c00 @ right ) @ right ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ~ ( wall @ ( next @ c00 @ right ) )
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: movelist] :
( ( playerpos @ X1 )
!= ( next @ ( next @ c00 @ right ) @ right ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( wall @ ( next @ c00 @ right ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= c00 )
=> ( ~ ( wall @ ( next @ c00 @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= ( next @ c00 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= ( next @ c00 @ right ) )
=> ( ~ ( wall @ ( next @ ( next @ c00 @ right ) @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= ( next @ ( next @ c00 @ right ) @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ sP9
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(def_c10,definition,
( c10
= ( next @ c00 @ right ) ) ).
thf(def_c20,definition,
( c20
= ( next @ c10 @ right ) ) ).
thf(exercise,conjecture,
~ sP11 ).
thf(h0,negated_conjecture,
sP11,
inference(assume_negation,[status(cth)],[exercise]) ).
thf(1,plain,
( ~ sP11
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP15
| sP9
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP3
| ~ sP5
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP8
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP14
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP10
| sP12
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP1
| ~ sP2
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP7
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP13
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP4
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP4
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(start_axiom,axiom,
sP2 ).
thf(c20_axiom,axiom,
~ sP9 ).
thf(c10_axiom,axiom,
~ sP12 ).
thf(player_move_legal,axiom,
sP4 ).
thf(12,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,start_axiom,c20_axiom,c10_axiom,player_move_legal,h0]) ).
thf(0,theorem,
~ sP11,
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ141^1 : TPTP v8.1.2. Released v6.2.0.
% 0.00/0.14 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 22:53:24 EDT 2023
% 0.17/0.35 % CPUTime :
% 202.45/202.77 % SZS status Theorem
% 202.45/202.77 % Mode: cade22grackle2x4343
% 202.45/202.77 % Steps: 1113
% 202.45/202.77 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------