TSTP Solution File: ITP168^1 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP168^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n007.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 04:02:41 EDT 2023
% Result : Theorem 20.97s 21.16s
% Output : Proof 20.97s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_view_e774982825t_unit,type,
view_e774982825t_unit: $tType ).
thf(ty_traffic,type,
traffic: $tType ).
thf(ty_cars,type,
cars: $tType ).
thf(ty_ts3,type,
ts3: traffic ).
thf(ty_ts_a,type,
ts_a: traffic ).
thf(ty_eigen__0,type,
eigen__0: cars ).
thf(ty_move,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(ty_ts,type,
ts: traffic ).
thf(ty_create_reservation,type,
create_reservation: traffic > cars > traffic > $o ).
thf(ty_v,type,
v: view_e774982825t_unit ).
thf(ty_abstract,type,
abstract: traffic > traffic > $o ).
thf(sP1,plain,
( sP1
<=> ( create_reservation @ ts_a @ eigen__0 @ ts ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> $false ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( abstract @ ts_a @ ts ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: view_e774982825t_unit] :
( ~ ( ( abstract @ ts3 @ ts_a )
=> ~ sP3 )
=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ X1 ) )
= ( move @ ts3 @ ts @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: traffic,X2: traffic,X3: traffic] :
( ( abstract @ X1 @ X2 )
=> ( ~ ! [X4: cars] :
~ ( create_reservation @ X2 @ X4 @ X3 )
=> ( abstract @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: traffic,X2: traffic] :
( ( abstract @ ts_a @ X1 )
=> ( ~ ! [X3: cars] :
~ ( create_reservation @ X1 @ X3 @ X2 )
=> ( abstract @ ts_a @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ ( ( abstract @ ts3 @ ts_a )
=> ~ sP3 )
=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= ( move @ ts3 @ ts @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: traffic] :
( ( abstract @ ts_a @ ts_a )
=> ( ~ ! [X2: cars] :
~ ( create_reservation @ ts_a @ X2 @ X1 )
=> ( abstract @ ts_a @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: traffic,X2: traffic,X3: traffic,X4: view_e774982825t_unit] :
( ~ ( ( abstract @ X1 @ X2 )
=> ~ ( abstract @ X2 @ X3 ) )
=> ( ( move @ X2 @ X3 @ ( move @ X1 @ X2 @ X4 ) )
= ( move @ X1 @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: traffic,X2: view_e774982825t_unit] :
( ~ ( ( abstract @ ts3 @ ts_a )
=> ~ ( abstract @ ts_a @ X1 ) )
=> ( ( move @ ts_a @ X1 @ ( move @ ts3 @ ts_a @ X2 ) )
= ( move @ ts3 @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( abstract @ ts_a @ ts_a ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( abstract @ ts3 @ ts_a ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP14
=> ( ~ ! [X1: cars] :
~ ( create_reservation @ ts_a @ X1 @ ts )
=> sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ~ ! [X1: cars] :
~ ( create_reservation @ ts_a @ X1 @ ts )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP15
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: traffic] : ( abstract @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: traffic,X2: traffic,X3: view_e774982825t_unit] :
( ~ ( ( abstract @ ts3 @ X1 )
=> ~ ( abstract @ X1 @ X2 ) )
=> ( ( move @ X1 @ X2 @ ( move @ ts3 @ X1 @ X3 ) )
= ( move @ ts3 @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: cars] :
~ ( create_reservation @ ts_a @ X1 @ ts ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(conj_0,conjecture,
sP5 ).
thf(h0,negated_conjecture,
~ sP5,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP21
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP18
| ~ sP15
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP17
| sP21
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP9
| sP18
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP16
| ~ sP14
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP4
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP10
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP13
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
~ sP2,
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP6
| sP5
| sP2
| ~ sP12 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP8
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP20
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP19
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP7
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP11
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_37_traffic_Oabstract_Orefl,axiom,
sP19 ).
thf(fact_29_traffic_Ocr__res,axiom,
sP7 ).
thf(fact_10_traffic_Omove__trans,axiom,
sP11 ).
thf(fact_5__092_060open_062move_Ats_Ats_H_Av_A_061_Amove_Ats_H_Ats_H_H_A_Imove_Ats_Ats_H_Av_J_092_060close_062,axiom,
sP6 ).
thf(fact_0_cr__res_Ohyps_I1_J,axiom,
sP15 ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,h0,fact_37_traffic_Oabstract_Orefl,fact_29_traffic_Ocr__res,fact_10_traffic_Omove__trans,fact_5__092_060open_062move_Ats_Ats_H_Av_A_061_Amove_Ats_H_Ats_H_H_A_Imove_Ats_Ats_H_Av_J_092_060close_062,h1,fact_0_cr__res_Ohyps_I1_J]) ).
thf(fact_1_cr__res_Ohyps_I2_J,axiom,
~ sP21 ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_1_cr__res_Ohyps_I2_J,16,h1]) ).
thf(0,theorem,
sP5,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP168^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n007.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 : Sun Aug 27 15:26:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.97/21.16 % SZS status Theorem
% 20.97/21.16 % Mode: cade22sinegrackle2xfaf3
% 20.97/21.16 % Steps: 4537
% 20.97/21.16 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------