%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP159^1 : 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 : n015.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 01:47:08 PM UTC 2025
% Result : Theorem 2.12s 2.36s
% Output : Proof 2.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ITP159^1 : 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
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 8 18:37:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 2.12/2.36 % SZS status Theorem
% 2.12/2.36 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 2.12/2.36 % Inferences: 2
% 2.12/2.36 % SZS output start Proof
% 2.12/2.36 thf(conj_0,conjecture,((ord_le519537037nres_a @ x) @ ((refine1441824854un_a_b @ r) @ top_to240090974nres_b))).
% 2.12/2.36 thf(h0,negated_conjecture,(~(((ord_le519537037nres_a @ x) @ ((refine1441824854un_a_b @ r) @ top_to240090974nres_b)))),inference(assume_negation,[status(cth)],[conj_0])).
% 2.12/2.36 thf(pax9, axiom, (p9=>![X111:set_Product_prod_a_b]:(frefine1441824854un_a_b @ X111 @ ftop_to240090974nres_b)=(ftop_to231829469nres_a)), file('<stdin>', pax9)).
% 2.12/2.36 thf(pax11, axiom, (p11=>![X101:refine424419629nres_a]:ford_le519537037nres_a @ X101 @ ftop_to231829469nres_a), file('<stdin>', pax11)).
% 2.12/2.36 thf(nax72, axiom, (p72<=ford_le519537037nres_a @ fx @ (frefine1441824854un_a_b @ fr @ ftop_to240090974nres_b)), file('<stdin>', nax72)).
% 2.12/2.36 thf(ax63, axiom, p9, file('<stdin>', ax63)).
% 2.12/2.36 thf(ax61, axiom, p11, file('<stdin>', ax61)).
% 2.12/2.36 thf(ax0, axiom, ~(p72), file('<stdin>', ax0)).
% 2.12/2.36 thf(c_0_6, plain, ![X463:set_Product_prod_a_b]:(~p9|(frefine1441824854un_a_b @ X463 @ ftop_to240090974nres_b)=(ftop_to231829469nres_a)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 2.12/2.36 thf(c_0_7, plain, ![X459:refine424419629nres_a]:(~p11|ford_le519537037nres_a @ X459 @ ftop_to231829469nres_a), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax11])])])).
% 2.12/2.36 thf(c_0_8, plain, (~ford_le519537037nres_a @ fx @ (frefine1441824854un_a_b @ fr @ ftop_to240090974nres_b)|p72), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax72])])).
% 2.12/2.36 thf(c_0_9, plain, ![X17:set_Product_prod_a_b]:((frefine1441824854un_a_b @ X17 @ ftop_to240090974nres_b)=(ftop_to231829469nres_a)|~p9), inference(split_conjunct,[status(thm)],[c_0_6])).
% 2.12/2.36 thf(c_0_10, plain, p9, inference(split_conjunct,[status(thm)],[ax63])).
% 2.12/2.36 thf(c_0_11, plain, ![X1:refine424419629nres_a]:(ford_le519537037nres_a @ X1 @ ftop_to231829469nres_a|~p11), inference(split_conjunct,[status(thm)],[c_0_7])).
% 2.12/2.36 thf(c_0_12, plain, p11, inference(split_conjunct,[status(thm)],[ax61])).
% 2.12/2.36 thf(c_0_13, plain, ~p72, inference(fof_simplification,[status(thm)],[ax0])).
% 2.12/2.36 thf(c_0_14, plain, (p72|~ford_le519537037nres_a @ fx @ (frefine1441824854un_a_b @ fr @ ftop_to240090974nres_b)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 2.12/2.36 thf(c_0_15, plain, ![X17:set_Product_prod_a_b]:(frefine1441824854un_a_b @ X17 @ ftop_to240090974nres_b)=(ftop_to231829469nres_a), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 2.12/2.36 thf(c_0_16, plain, ![X1:refine424419629nres_a]:ford_le519537037nres_a @ X1 @ ftop_to231829469nres_a, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 2.12/2.36 thf(c_0_17, plain, ~p72, inference(split_conjunct,[status(thm)],[c_0_13])).
% 2.12/2.36 thf(c_0_18, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16])]), c_0_17]), ['proof']).
% 2.12/2.36 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.12/2.36 thf(0,theorem,((ord_le519537037nres_a @ x) @ ((refine1441824854un_a_b @ r) @ top_to240090974nres_b)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.12/2.36 % SZS output end Proof
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