%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP037^1 : 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 : n010.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 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP037^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 8 18:07:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.19/0.45 % Inferences: 5
% 0.19/0.45 % SZS output start Proof
% 0.19/0.45 thf(conj_0,conjecture,(dfree_a_c @ (args @ i2))).
% 0.19/0.45 thf(h0,negated_conjecture,(~((dfree_a_c @ (args @ i2)))),inference(assume_negation,[status(cth)],[conj_0])).
% 0.19/0.45 thf(nax25, axiom, (p25<=fdfree_a_c @ (fargs @ fi2)), file('<stdin>', nax25)).
% 0.19/0.45 thf(ax4, axiom, ~(p25), file('<stdin>', ax4)).
% 0.19/0.45 thf(pax1, axiom, (p1=>![X38:c]:fdfree_a_c @ (fargs @ X38)), file('<stdin>', pax1)).
% 0.19/0.45 thf(ax28, axiom, p1, file('<stdin>', ax28)).
% 0.19/0.45 thf(c_0_4, plain, (~fdfree_a_c @ (fargs @ fi2)|p25), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax25])])).
% 0.19/0.45 thf(c_0_5, plain, ~p25, inference(fof_simplification,[status(thm)],[ax4])).
% 0.19/0.45 thf(c_0_6, plain, ![X111:c]:(~p1|fdfree_a_c @ (fargs @ X111)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.19/0.45 thf(c_0_7, plain, (p25|~fdfree_a_c @ (fargs @ fi2)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.19/0.45 thf(c_0_8, plain, ~p25, inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.45 thf(c_0_9, plain, ![X1:c]:(fdfree_a_c @ (fargs @ X1)|~p1), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.19/0.45 thf(c_0_10, plain, p1, inference(split_conjunct,[status(thm)],[ax28])).
% 0.19/0.45 thf(c_0_11, plain, ~fdfree_a_c @ (fargs @ fi2), inference(sr,[status(thm)],[c_0_7, c_0_8])).
% 0.19/0.45 thf(c_0_12, plain, ![X1:c]:fdfree_a_c @ (fargs @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 0.19/0.45 thf(c_0_13, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])]), ['proof']).
% 0.19/0.45 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.19/0.45 thf(0,theorem,(dfree_a_c @ (args @ i2)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.19/0.45 % SZS output end Proof
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