TSTP Solution File: SEV427^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV427^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n015.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 : Tue Jul 19 18:06:20 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_p,type,
p: $i > $o ).
thf(ty_q,type,
q: $i > $o ).
thf(ty_eps,type,
eps: ( $i > $o ) > $i ).
thf(sP1,plain,
( sP1
<=> ( p @ ( eps @ p ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ ( p @ ( eps @ q ) )
=> ( q @ ( eps @ q ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( p @ ( eps @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
~ ( p @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
( ~ ( p @ X1 )
=> ( q @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( q @ ( eps @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(conj,conjecture,
( ~ sP1
=> sP6 ) ).
thf(h0,negated_conjecture,
~ ( ~ sP1
=> sP6 ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(h1,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP4
| ~ sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(choiceax,axiom,
! [X1: $i > $o] :
( ~ ! [X2: $i] :
~ ( X1 @ X2 )
=> ( X1 @ ( eps @ X1 ) ) ) ).
thf(2,plain,
( sP1
| sP4 ),
inference(choice_rule,[status(thm)],[choiceax]) ).
thf(3,plain,
( ~ sP5
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP3
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(pq,axiom,
sP5 ).
thf(5,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,pq,h1,h2]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,5,h1,h2]) ).
thf(0,theorem,
( ~ sP1
=> sP6 ),
inference(contra,[status(thm),contra(discharge,[h0])],[6,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV427^1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 28 15:44:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 26
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------