TSTP Solution File: ITP063^1 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP063^1 : 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 : n027.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 04:01:50 EDT 2023
% Result : Theorem 21.42s 21.78s
% Output : Proof 21.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_nat,type,
nat: $tType ).
thf(ty_genClo1015804716orrect,type,
genClo1015804716orrect: nat > real > $o ).
thf(ty_q,type,
q: nat ).
thf(ty_p,type,
p: nat ).
thf(ty_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(ty_genClo1163638703lle_te,type,
genClo1163638703lle_te: nat > nat > real ).
thf(ty_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(ty_abs_abs_real,type,
abs_abs_real: real > real ).
thf(ty_one_one_nat,type,
one_one_nat: nat ).
thf(ty_minus_minus_real,type,
minus_minus_real: real > real > real ).
thf(ty_genClo1278781456e_beta,type,
genClo1278781456e_beta: real ).
thf(ty_i,type,
i: nat ).
thf(sP1,plain,
( sP1
<=> ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: nat,X2: nat] :
( ~ ( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ X2 ) )
=> ~ ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X2 ) ) )
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ X2 ) @ ( genClo1163638703lle_te @ X1 @ X2 ) ) ) @ genClo1278781456e_beta ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sP1
=> ~ ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ sP3
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ ( plus_plus_nat @ i @ one_one_nat ) ) @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ) @ genClo1278781456e_beta ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ ( plus_plus_nat @ i @ one_one_nat ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: nat,X2: nat,X3: nat] :
( ~ ( ( genClo1015804716orrect @ X1 @ ( genClo1163638703lle_te @ X1 @ X3 ) )
=> ~ ( genClo1015804716orrect @ X2 @ ( genClo1163638703lle_te @ X2 @ X3 ) ) )
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ X1 @ X3 ) @ ( genClo1163638703lle_te @ X2 @ X3 ) ) ) @ genClo1278781456e_beta ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: nat] :
( ~ ( ( genClo1015804716orrect @ p @ ( genClo1163638703lle_te @ p @ X1 ) )
=> ~ ( genClo1015804716orrect @ q @ ( genClo1163638703lle_te @ q @ X1 ) ) )
=> ( ord_less_eq_real @ ( abs_abs_real @ ( minus_minus_real @ ( genClo1163638703lle_te @ p @ X1 ) @ ( genClo1163638703lle_te @ q @ X1 ) ) ) @ genClo1278781456e_beta ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(conj_0,conjecture,
sP5 ).
thf(h0,negated_conjecture,
~ sP5,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP3
| ~ sP1
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP4
| sP3
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP8
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP7
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_2_corr__q__tq,axiom,
sP6 ).
thf(fact_1_corr__p,axiom,
sP1 ).
thf(fact_0_rts2b,axiom,
sP7 ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,h0,fact_2_corr__q__tq,fact_1_corr__p,fact_0_rts2b]) ).
thf(0,theorem,
sP5,
inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP063^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.18/0.34 % Computer : n027.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sun Aug 27 13:40:06 EDT 2023
% 0.18/0.34 % CPUTime :
% 21.42/21.78 % SZS status Theorem
% 21.42/21.78 % Mode: cade22sinegrackle2xfaf3
% 21.42/21.78 % Steps: 10303
% 21.42/21.78 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------