%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP035^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n009.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 : 300s
% DateTime : Thu Oct 9 01:46:46 PM UTC 2025
% Result : Theorem 11.80s 12.01s
% Output : Proof 11.80s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_complex,type,
complex: $tType ).
thf(ty_w,type,
w: complex ).
thf(ty_one_one_complex,type,
one_one_complex: complex ).
thf(ty_id_complex,type,
id_complex: complex > complex ).
thf(ty_deriv_complex,type,
deriv_complex: ( complex > complex ) > complex > complex ).
thf(sP1,plain,
( sP1
<=> ! [X1: complex] :
( ( deriv_complex @ id_complex @ X1 )
= one_one_complex ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( deriv_complex @ id_complex @ w )
= one_one_complex ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( deriv_complex @ id_complex )
= ( ^ [X1: complex] : one_one_complex ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(conj_0,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP3
| sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(fact_3_deriv__id,axiom,
sP3 ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,h0,fact_3_deriv__id]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP035^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 8 18:12:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 11.80/12.01 % SZS status Theorem
% 11.80/12.01 % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 11.80/12.01 % Inferences: 2165
% 11.80/12.01 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------