TSTP Solution File: NUM743^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM743^1 : 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 : n004.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 13:55:58 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_frac,type,
frac: $tType ).
thf(ty_z,type,
z: frac ).
thf(ty_y,type,
y: frac ).
thf(ty_eq,type,
eq: frac > frac > $o ).
thf(ty_lessf,type,
lessf: frac > frac > $o ).
thf(ty_x,type,
x: frac ).
thf(sP1,plain,
( sP1
<=> ! [X1: frac] :
( ( lessf @ x @ y )
=> ( ( lessf @ y @ X1 )
=> ( lessf @ x @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: frac,X2: frac,X3: frac] :
( ( lessf @ X1 @ X2 )
=> ( ( lessf @ X2 @ X3 )
=> ( lessf @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eq @ x @ x ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lessf @ x @ y ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: frac] :
( sP4
=> ( sP3
=> ( ( eq @ y @ X1 )
=> ( lessf @ x @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP4
=> ( sP3
=> ( ( eq @ y @ z )
=> ( lessf @ x @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( eq @ y @ z ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( lessf @ y @ z ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP3
=> ( sP7
=> ( lessf @ x @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP4
=> ( sP8
=> ( lessf @ x @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: frac,X2: frac] :
( ( lessf @ x @ X1 )
=> ( ( lessf @ X1 @ X2 )
=> ( lessf @ x @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: frac] : ( eq @ X1 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: frac,X2: frac] :
( sP4
=> ( ( eq @ x @ X1 )
=> ( ( eq @ y @ X2 )
=> ( lessf @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( lessf @ x @ z ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: frac,X2: frac,X3: frac] :
( ( lessf @ x @ X1 )
=> ( ( eq @ x @ X2 )
=> ( ( eq @ X1 @ X3 )
=> ( lessf @ X2 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP7
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: frac,X2: frac,X3: frac,X4: frac] :
( ( lessf @ X1 @ X2 )
=> ( ( eq @ X1 @ X3 )
=> ( ( eq @ X2 @ X4 )
=> ( lessf @ X3 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP8
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(satz51b,conjecture,
sP14 ).
thf(h0,negated_conjecture,
~ sP14,
inference(assume_negation,[status(cth)],[satz51b]) ).
thf(h1,assumption,
sP8,
introduced(assumption,[]) ).
thf(h2,assumption,
sP7,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP11
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP1
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP10
| ~ sP4
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP18
| ~ sP8
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(l,axiom,
sP4 ).
thf(satz50,axiom,
sP2 ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,l,h1,satz50,h0]) ).
thf(7,plain,
( ~ sP12
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP13
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP5
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP6
| ~ sP4
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP9
| ~ sP3
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP16
| ~ sP7
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP17
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP15
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(satz45,axiom,
sP17 ).
thf(satz37,axiom,
sP12 ).
thf(15,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h2,h0])],[7,8,9,10,11,12,13,14,l,h2,satz45,satz37,h0]) ).
thf(k,axiom,
( ~ sP8
=> sP7 ) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[k,6,15,h1,h2]) ).
thf(0,theorem,
sP14,
inference(contra,[status(thm),contra(discharge,[h0])],[16,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM743^1 : TPTP v8.1.0. Released v3.7.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n004.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 : Thu Jul 7 00:40:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % Mode: mode213
% 0.12/0.37 % Inferences: 149
% 0.12/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------