TSTP Solution File: ITP073^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP073^1 : 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 : n028.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 00:28:59 EDT 2022
% Result : Theorem 120.72s 120.99s
% Output : Proof 120.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_hF_Mirabelle_hf,type,
hF_Mirabelle_hf: $tType ).
thf(ty_a,type,
a: hF_Mirabelle_hf ).
thf(ty_ord_le976219883lle_hf,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(ty_b,type,
b: hF_Mirabelle_hf ).
thf(ty_hF_Mirabelle_hmem,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(sP1,plain,
( sP1
<=> ( ord_le976219883lle_hf
= ( ^ [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ X1 )
=> ( hF_Mirabelle_hmem @ X3 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X1 @ a )
=> ( hF_Mirabelle_hmem @ X1 @ b ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ord_le976219883lle_hf @ a @ b ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ a @ X1 )
= ( ! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ a )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ord_le976219883lle_hf @ a )
= ( ^ [X1: hF_Mirabelle_hf] :
! [X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ a )
=> ( hF_Mirabelle_hmem @ X2 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP3 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X1 )
= ( ^ [X2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X3 @ X1 )
=> ( hF_Mirabelle_hmem @ X3 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(conj_1,conjecture,
sP3 ).
thf(h0,negated_conjecture,
~ sP3,
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(1,plain,
( ~ sP6
| sP3
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP7
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(conj_0,axiom,
sP2 ).
thf(fact_6_less__eq__hf__def,axiom,
sP1 ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,h0,conj_0,fact_6_less__eq__hf__def]) ).
thf(0,theorem,
sP3,
inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP073^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n028.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 12:07:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 120.72/120.99 % SZS status Theorem
% 120.72/120.99 % Mode: mode8a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
% 120.72/120.99 % Inferences: 2035
% 120.72/120.99 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------