TSTP Solution File: SYO500^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO500^1 : 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 : n014.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 19:33:01 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_f,type,
f: $o > $o ).
thf(ty_x,type,
x: $o ).
thf(sP1,plain,
( sP1
<=> ( f @ ( f @ ( f @ x ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( f @ ( f @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sP2
= ( f @ x ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> x ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP2 = sP4 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( f @ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP6 = sP4 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP4 = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP4 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP6 = sP2 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(con,conjecture,
sP1 = sP6 ).
thf(h0,negated_conjecture,
sP1 != sP6,
inference(assume_negation,[status(cth)],[con]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
sP6,
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
( sP3
| sP2
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP7
| sP6
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP1
| sP2
| ~ sP3 ),
inference(mating_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP2
| sP6
| ~ sP7 ),
inference(mating_rule,[status(thm)],]) ).
thf(5,plain,
( sP5
| ~ sP2
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP1
| sP6
| ~ sP5 ),
inference(mating_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,h1,h2]) ).
thf(8,plain,
( sP8
| ~ sP4
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP10
| ~ sP6
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP6
| sP2
| ~ sP8 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP2
| sP1
| ~ sP10 ),
inference(mating_rule,[status(thm)],]) ).
thf(12,plain,
( sP9
| sP4
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP6
| sP1
| ~ sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h0])],[8,9,10,11,12,13,h3,h4]) ).
thf(15,plain,
$false,
inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,7,14,h1,h2,h3,h4]) ).
thf(0,theorem,
sP1 = sP6,
inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO500^1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n014.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 23:10:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % SZS status Theorem
% 0.13/0.37 % Mode: mode213
% 0.13/0.37 % Inferences: 24
% 0.13/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------