TSTP Solution File: NUM769^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM769^1 : 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 : n008.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 13:56:22 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_frac,type,
frac: $tType ).
thf(ty_pf,type,
pf: frac > frac > frac ).
thf(ty_y,type,
y: frac ).
thf(ty_mf,type,
mf: frac > frac > frac ).
thf(ty_eq,type,
eq: frac > frac > $o ).
thf(ty_moref,type,
moref: frac > frac > $o ).
thf(ty_x,type,
x: frac ).
thf(sP1,plain,
( sP1
<=> ! [X1: frac,X2: frac] :
( ( moref @ X1 @ X2 )
=> ( eq @ ( pf @ X2 @ ( mf @ X1 @ X2 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: frac] :
( ( eq @ ( pf @ y @ ( mf @ x @ y ) ) @ X1 )
=> ( eq @ X1 @ ( pf @ y @ ( mf @ x @ y ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( moref @ x @ y )
=> ( eq @ ( pf @ y @ ( mf @ x @ y ) ) @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eq @ ( pf @ y @ ( mf @ x @ y ) ) @ x ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP4
=> ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: frac] :
( ( moref @ x @ X1 )
=> ( eq @ ( pf @ X1 @ ( mf @ x @ X1 ) ) @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: frac,X2: frac] :
( ( eq @ X1 @ X2 )
=> ( eq @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eq @ x @ ( pf @ y @ ( mf @ x @ y ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( moref @ x @ y ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(satz67d,conjecture,
sP8 ).
thf(h0,negated_conjecture,
~ sP8,
inference(assume_negation,[status(cth)],[satz67d]) ).
thf(1,plain,
( ~ sP1
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP6
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP3
| ~ sP9
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP7
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP2
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP5
| ~ sP4
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(m,axiom,
sP9 ).
thf(satz38,axiom,
sP7 ).
thf(satz67c,axiom,
sP1 ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,m,satz38,satz67c,h0]) ).
thf(0,theorem,
sP8,
inference(contra,[status(thm),contra(discharge,[h0])],[7,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM769^1 : 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 20:38:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 6
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------