TSTP Solution File: ITP168^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP168^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 00:29:21 EDT 2022
% Result : Theorem 187.27s 185.79s
% Output : Proof 187.27s
% 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_create_reservation,type,
create_reservation: traffic > cars > traffic > $o ).
thf(ty_move,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(ty_v,type,
v: view_e774982825t_unit ).
thf(ty_ts_a,type,
ts_a: traffic ).
thf(ty_ts,type,
ts: traffic ).
thf(ty_ord_le461438217t_unit,type,
ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(ty_ts3,type,
ts3: traffic ).
thf(ty_abstract,type,
abstract: traffic > traffic > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: cars] :
~ ( create_reservation @ ts_a @ X1 @ ts ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [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,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [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,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( abstract @ ts_a @ ts_a )
=> ( ~ sP1
=> ( abstract @ ts_a @ ts ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) @ ( move @ ts3 @ ts_a @ v ) )
=> ( ( ord_le461438217t_unit @ ( move @ ts3 @ ts_a @ v ) @ ( move @ ts3 @ ts @ v ) )
=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts_a @ v ) @ ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ( ( abstract @ ts3 @ ts_a )
=> ~ ( abstract @ ts_a @ ts ) )
=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= ( move @ ts3 @ ts @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: view_e774982825t_unit] :
( ( ( move @ ts3 @ ts_a @ v )
= X1 )
=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts_a @ v ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) @ ( move @ ts3 @ ts_a @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( move @ ts3 @ ts @ v )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: view_e774982825t_unit] :
( ( ( move @ ts3 @ ts @ v )
= X1 )
=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: view_e774982825t_unit,X2: view_e774982825t_unit] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts_a @ v ) @ ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: view_e774982825t_unit] :
( ~ ( ( abstract @ ts3 @ ts_a )
=> ~ ( abstract @ ts_a @ ts ) )
=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ X1 ) )
= ( move @ ts3 @ ts @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP12
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= ( move @ ts3 @ ts_a @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( ( abstract @ ts3 @ ts_a )
=> ~ ( abstract @ ts_a @ ts ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ~ sP1
=> ( abstract @ ts_a @ ts ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: view_e774982825t_unit] :
( ( ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) @ X1 )
=> ( ( ord_le461438217t_unit @ X1 @ ( move @ ts3 @ ts @ v ) )
=> ( X1
= ( move @ ts3 @ ts @ v ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [X1: traffic,X2: traffic,X3: traffic] :
( ( abstract @ X1 @ X2 )
=> ( ~ ! [X4: cars] :
~ ( create_reservation @ X2 @ X4 @ X3 )
=> ( abstract @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( sP6
=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts_a @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( ( move @ ts3 @ ts @ v )
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: traffic] : ( abstract @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( abstract @ ts_a @ ts ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: view_e774982825t_unit,X2: view_e774982825t_unit] :
( ( X1 = X2 )
=> ( ord_le461438217t_unit @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ! [X1: view_e774982825t_unit,X2: view_e774982825t_unit] :
( ( ord_le461438217t_unit @ X1 @ X2 )
=> ( ( ord_le461438217t_unit @ X2 @ X1 )
=> ( X2 = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: view_e774982825t_unit] :
( ( ( move @ ts3 @ ts_a @ v )
= X1 )
=> ( X1
= ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( abstract @ ts_a @ ts_a ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( ord_le461438217t_unit @ ( move @ ts3 @ ts @ v ) @ ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP25
=> sP33 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( sP12
=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ! [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,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( sP21
=> sP25 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: traffic] :
( sP32
=> ( ~ ! [X2: cars] :
~ ( create_reservation @ ts_a @ X2 @ X1 )
=> ( abstract @ ts_a @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ! [X1: traffic,X2: traffic] :
( ( abstract @ ts_a @ X1 )
=> ( ~ ! [X3: cars] :
~ ( create_reservation @ X1 @ X3 @ X2 )
=> ( abstract @ ts_a @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ! [X1: view_e774982825t_unit] :
( ( ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) )
= X1 )
=> ( X1
= ( move @ ts_a @ ts @ ( move @ ts3 @ ts_a @ v ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( abstract @ ts3 @ ts_a ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(conj_0,conjecture,
sP31 ).
thf(h0,negated_conjecture,
~ sP31,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP34
| ~ sP25
| sP33 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP37
| ~ sP21
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP40
| sP37 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP15
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP7
| sP18
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP18
| ~ sP41
| ~ sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP11
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP33
| sP9
| ~ sP10
| ~ sP17 ),
inference(mating_rule,[status(thm)],]) ).
thf(9,plain,
sP10,
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
sP24,
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP3
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP14
| sP6
| ~ sP24
| ~ sP21 ),
inference(mating_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP39
| sP38 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP38
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP4
| ~ sP32
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP19
| sP1
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP36
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP26
| sP32 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP22
| sP39 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP2
| sP36 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP8
| sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP16
| ~ sP12
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP13
| sP40 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP35
| ~ sP12
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP30
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP28
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP28
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP29
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP20
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP5
| ~ sP9
| sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP23
| ~ sP6
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP13
| sP30 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
sP13,
inference(eq_sym,[status(thm)],]) ).
thf(fact_0_cr__res_Ohyps_I1_J,axiom,
sP41 ).
thf(fact_1_cr__res_Ohyps_I2_J,axiom,
~ sP1 ).
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,
sP12 ).
thf(fact_10_traffic_Omove__trans,axiom,
sP2 ).
thf(fact_29_traffic_Ocr__res,axiom,
sP22 ).
thf(fact_37_traffic_Oabstract_Orefl,axiom,
sP26 ).
thf(fact_173_eq__refl,axiom,
sP28 ).
thf(fact_220_dual__order_Oantisym,axiom,
sP29 ).
thf(34,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,fact_0_cr__res_Ohyps_I1_J,fact_1_cr__res_Ohyps_I2_J,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,fact_10_traffic_Omove__trans,fact_29_traffic_Ocr__res,fact_37_traffic_Oabstract_Orefl,fact_173_eq__refl,fact_220_dual__order_Oantisym,h0]) ).
thf(0,theorem,
sP31,
inference(contra,[status(thm),contra(discharge,[h0])],[34,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP168^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 3 19:01:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 187.27/185.79 % SZS status Theorem
% 187.27/185.79 % Mode: mode454:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
% 187.27/185.79 % Inferences: 3180
% 187.27/185.79 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------