TSTP Solution File: SYO291^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO291^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n020.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 : Thu Jul 21 19:31:17 EDT 2022
% Result : Theorem 0.10s 0.35s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cR,type,
cR: $i > $o ).
thf(ty_y,type,
y: $i ).
thf(ty_cQ,type,
cQ: $i > $o ).
thf(ty_f,type,
f: $i > $i ).
thf(ty_x,type,
x: $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i > $o] : ( X1 @ y ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> $false ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cTEST3,conjecture,
( sP1
=> ~ ( ~ ( ( cR @ x )
=> ~ ( cR @ ( f @ x ) ) )
=> ~ ( cQ @ y ) ) ) ).
thf(h0,negated_conjecture,
~ ( sP1
=> ~ ( ~ ( ( cR @ x )
=> ~ ( cR @ ( f @ x ) ) )
=> ~ ( cQ @ y ) ) ),
inference(assume_negation,[status(cth)],[cTEST3]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
( ~ ( ( cR @ x )
=> ~ ( cR @ ( f @ x ) ) )
=> ~ ( cQ @ y ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ( cR @ x )
=> ~ ( cR @ ( f @ x ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( cQ @ y ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( cR @ x ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( cR @ ( f @ x ) ),
introduced(assumption,[]) ).
thf(1,plain,
~ sP2,
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h5,h3,h1,h2,h0])],[1,2,h1]) ).
thf(4,plain,
~ sP2,
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h6,h3,h1,h2,h0])],[4,5,h1]) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,3,6,h5,h6]) ).
thf(8,plain,
~ sP2,
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h1,h2,h0])],[8,9,h1]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h2,7,10,h3,h4]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,11,h1,h2]) ).
thf(0,theorem,
( sP1
=> ~ ( ~ ( ( cR @ x )
=> ~ ( cR @ ( f @ x ) ) )
=> ~ ( cQ @ y ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO291^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jul 9 06:06:58 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.10/0.35 % SZS status Theorem
% 0.10/0.35 % Mode: mode213
% 0.10/0.35 % Inferences: 54
% 0.10/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------