%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP196^1 : 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 : n017.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 01:47:15 PM UTC 2025
% Result : Theorem 0.21s 0.48s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP196^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 8 18:46:53 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.21/0.48 % SZS status Theorem
% 0.21/0.48 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.21/0.48 % Inferences: 5
% 0.21/0.48 % SZS output start Proof
% 0.21/0.48 thf(conj_0,conjecture,(~((sturm_891428828rm_seq @ nil_poly_real)))).
% 0.21/0.48 thf(h0,negated_conjecture,(sturm_891428828rm_seq @ nil_poly_real),inference(assume_negation,[status(cth)],[conj_0])).
% 0.21/0.48 thf(pax1, axiom, (p1=>![X33:list_poly_real]:(fsturm_891428828rm_seq @ X33=>~((X33)=(fnil_poly_real)))), file('<stdin>', pax1)).
% 0.21/0.48 thf(pax30, axiom, (p30=>fsturm_891428828rm_seq @ fnil_poly_real), file('<stdin>', pax30)).
% 0.21/0.48 thf(ax42, axiom, p1, file('<stdin>', ax42)).
% 0.21/0.48 thf(ax13, axiom, p30, file('<stdin>', ax13)).
% 0.21/0.48 thf(c_0_4, plain, ![X222:list_poly_real]:(~p1|(~fsturm_891428828rm_seq @ X222|(X222)!=(fnil_poly_real))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1])])])])).
% 0.21/0.48 thf(c_0_5, plain, (~p30|fsturm_891428828rm_seq @ fnil_poly_real), inference(fof_nnf,[status(thm)],[pax30])).
% 0.21/0.48 thf(c_0_6, plain, ![X1:list_poly_real]:(~p1|~fsturm_891428828rm_seq @ X1|(X1)!=(fnil_poly_real)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.21/0.48 thf(c_0_7, plain, p1, inference(split_conjunct,[status(thm)],[ax42])).
% 0.21/0.48 thf(c_0_8, plain, (fsturm_891428828rm_seq @ fnil_poly_real|~p30), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.21/0.48 thf(c_0_9, plain, p30, inference(split_conjunct,[status(thm)],[ax13])).
% 0.21/0.48 thf(c_0_10, plain, ~fsturm_891428828rm_seq @ fnil_poly_real, inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6, c_0_7])])])).
% 0.21/0.48 thf(c_0_11, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])]), c_0_10]), ['proof']).
% 0.21/0.48 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.21/0.48 thf(0,theorem,(~((sturm_891428828rm_seq @ nil_poly_real))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.21/0.48 % SZS output end Proof
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