TSTP Solution File: ITP185^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP185^1 : 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 : n017.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 00:29:25 EDT 2022
% Result : Theorem 51.30s 51.62s
% Output : Proof 51.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_name,type,
name: $tType ).
thf(ty_pi,type,
pi: $tType ).
thf(ty_late_subject,type,
late_subject: $tType ).
thf(ty_late_freeRes,type,
late_freeRes: $tType ).
thf(ty_late_residual,type,
late_residual: $tType ).
thf(ty_a,type,
a: name ).
thf(ty_p,type,
p: pi ).
thf(ty_late_BoundR,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(ty_late_BoundOutputS,type,
late_BoundOutputS: name > late_subject ).
thf(ty_q,type,
q: pi ).
thf(ty_res,type,
res: name > pi > pi ).
thf(ty_late_InputS,type,
late_InputS: name > late_subject ).
thf(ty_fresh_name_pi,type,
fresh_name_pi: name > pi > $o ).
thf(ty_y,type,
y: name ).
thf(ty_q2,type,
q2: pi ).
thf(ty_par,type,
par: pi > pi > pi ).
thf(ty_r,type,
r: pi ).
thf(ty_r2,type,
r2: pi ).
thf(ty_subs,type,
subs: pi > name > name > pi ).
thf(ty_late_FreeR,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(ty_late_TauR,type,
late_TauR: late_freeRes ).
thf(ty_late_transitions,type,
late_transitions: pi > late_residual > $o ).
thf(ty_x,type,
x: name ).
thf(sP1,plain,
( sP1
<=> ! [X1: name,X2: name,X3: pi,X4: pi,X5: name,X6: pi] :
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ X1 ) @ X2 @ X3 ) )
=> ( ( late_transitions @ X4 @ ( late_BoundR @ ( late_InputS @ X1 ) @ X5 @ X6 ) )
=> ( ( fresh_name_pi @ X2 @ X4 )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ X4 ) @ ( late_FreeR @ late_TauR @ ( res @ X2 @ ( par @ X3 @ ( subs @ X6 @ X5 @ X2 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: pi,X2: name,X3: name,X4: pi,X5: pi,X6: name,X7: pi] :
( ( late_transitions @ X1 @ ( late_BoundR @ ( late_BoundOutputS @ X2 ) @ X3 @ X4 ) )
=> ( ( late_transitions @ X5 @ ( late_BoundR @ ( late_InputS @ X2 ) @ X6 @ X7 ) )
=> ( ( fresh_name_pi @ X3 @ X5 )
=> ( late_transitions @ ( par @ X1 @ X5 ) @ ( late_FreeR @ late_TauR @ ( res @ X3 @ ( par @ X4 @ ( subs @ X7 @ X6 @ X3 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: pi,X2: name,X3: pi] :
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ) )
=> ( ( late_transitions @ X1 @ ( late_BoundR @ ( late_InputS @ a ) @ X2 @ X3 ) )
=> ( ( fresh_name_pi @ y @ X1 )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ X1 ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ X3 @ X2 @ y ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: name,X2: pi] :
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ) )
=> ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ X1 @ X2 ) )
=> ( ( fresh_name_pi @ y @ r )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ X2 @ X1 @ y ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: name,X2: pi,X3: pi,X4: name,X5: pi] :
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ X1 @ X2 ) )
=> ( ( late_transitions @ X3 @ ( late_BoundR @ ( late_InputS @ a ) @ X4 @ X5 ) )
=> ( ( fresh_name_pi @ X1 @ X3 )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ X3 ) @ ( late_FreeR @ late_TauR @ ( res @ X1 @ ( par @ X2 @ ( subs @ X5 @ X4 @ X1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: pi,X2: pi,X3: name,X4: pi] :
( ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ X1 ) )
=> ( ( late_transitions @ X2 @ ( late_BoundR @ ( late_InputS @ a ) @ X3 @ X4 ) )
=> ( ( fresh_name_pi @ y @ X2 )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ X2 ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ X1 @ ( subs @ X4 @ X3 @ y ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( late_transitions @ ( par @ p @ q ) @ ( late_BoundR @ ( late_BoundOutputS @ a ) @ y @ ( par @ p @ q2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: pi] :
( sP7
=> ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ X1 ) )
=> ( ( fresh_name_pi @ y @ r )
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ X1 @ x @ y ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( fresh_name_pi @ y @ r ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) )
=> ( sP9
=> ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( res @ y @ ( par @ ( par @ p @ q2 ) @ ( subs @ r2 @ x @ y ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP9
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( late_transitions @ r @ ( late_BoundR @ ( late_InputS @ a ) @ x @ r2 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( sP7
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(conj_0,conjecture,
sP11 ).
thf(h0,negated_conjecture,
~ sP11,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP1
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP5
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP3
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP8
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP14
| ~ sP7
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP10
| ~ sP13
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP12
| ~ sP9
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP2
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_24_Late__Semantics_OClose2,axiom,
sP2 ).
thf(fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062,axiom,
sP7 ).
thf(fact_12_cClose2_Ohyps_I2_J,axiom,
sP13 ).
thf(fact_3_cClose2_Ohyps_I9_J,axiom,
sP9 ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,h0,fact_24_Late__Semantics_OClose2,fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062,fact_12_cClose2_Ohyps_I2_J,fact_3_cClose2_Ohyps_I9_J]) ).
thf(0,theorem,
sP11,
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ITP185^1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 3 06:20:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 51.30/51.62 % SZS status Theorem
% 51.30/51.62 % Mode: mode94:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
% 51.30/51.62 % Inferences: 210
% 51.30/51.62 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------