TSTP Solution File: NUM795^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM795^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -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 : 600s
% DateTime : Mon Jul 18 13:56:43 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_rat,type,
rat: $tType ).
thf(ty_moreis,type,
moreis: rat > rat > $o ).
thf(ty_z0,type,
z0: rat ).
thf(ty_pl,type,
pl: rat > rat > rat ).
thf(ty_less,type,
less: rat > rat > $o ).
thf(ty_x0,type,
x0: rat ).
thf(ty_u0,type,
u0: rat ).
thf(ty_lessis,type,
lessis: rat > rat > $o ).
thf(ty_y0,type,
y0: rat ).
thf(ty_more,type,
more: rat > rat > $o ).
thf(sP1,plain,
( sP1
<=> ( ( less @ z0 @ u0 )
=> ( more @ u0 @ z0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: rat,X2: rat] :
( ( less @ X1 @ X2 )
=> ( more @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( lessis @ x0 @ y0 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: rat] :
( ( more @ ( pl @ y0 @ u0 ) @ X1 )
=> ( less @ X1 @ ( pl @ y0 @ u0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: rat,X2: rat] :
( ( more @ X1 @ X2 )
=> ( less @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP3
=> ( moreis @ y0 @ x0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( less @ z0 @ u0 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: rat,X2: rat,X3: rat] :
( ( moreis @ y0 @ X1 )
=> ( ( more @ X2 @ X3 )
=> ( more @ ( pl @ y0 @ X2 ) @ ( pl @ X1 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( more @ u0 @ z0 )
=> ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ) )
=> ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( more @ u0 @ z0 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: rat] :
( ( less @ z0 @ X1 )
=> ( more @ X1 @ z0 ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: rat,X2: rat] :
( ( moreis @ y0 @ x0 )
=> ( ( more @ X1 @ X2 )
=> ( more @ ( pl @ y0 @ X1 ) @ ( pl @ x0 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: rat,X2: rat] :
( ( lessis @ X1 @ X2 )
=> ( moreis @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: rat] :
( ( lessis @ x0 @ X1 )
=> ( moreis @ X1 @ x0 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( moreis @ y0 @ x0 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: rat] :
( sP18
=> ( ( more @ u0 @ X1 )
=> ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( sP18
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: rat,X2: rat,X3: rat,X4: rat] :
( ( moreis @ X1 @ X2 )
=> ( ( more @ X3 @ X4 )
=> ( more @ ( pl @ X1 @ X3 ) @ ( pl @ X2 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(satz99c,conjecture,
sP16 ).
thf(h0,negated_conjecture,
~ sP16,
inference(assume_negation,[status(cth)],[satz99c]) ).
thf(1,plain,
( ~ sP14
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP15
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| ~ sP3
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP12
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP1
| ~ sP7
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP21
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP8
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP13
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP19
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP20
| ~ sP18
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP9
| ~ sP11
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP4
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP10
| ~ sP17
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(l,axiom,
sP3 ).
thf(k,axiom,
sP7 ).
thf(satz82,axiom,
sP5 ).
thf(satz99a,axiom,
sP21 ).
thf(satz85,axiom,
sP14 ).
thf(satz83,axiom,
sP2 ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,l,k,satz82,satz99a,satz85,satz83,h0]) ).
thf(0,theorem,
sP16,
inference(contra,[status(thm),contra(discharge,[h0])],[16,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM795^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jul 6 19:34:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % Mode: mode213
% 0.14/0.38 % Inferences: 12
% 0.14/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------