%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP064^1 : 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 : n027.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 01:46:51 PM UTC 2025
% Result : Theorem 1.43s 1.70s
% Output : Proof 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP064^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n027.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 18:09:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.43/1.70 % SZS status Theorem
% 1.43/1.70 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 1.43/1.70 % Inferences: 2
% 1.43/1.70 % SZS output start Proof
% 1.43/1.70 thf(conj_0,conjecture,((genClo1015804716orrect @ m) @ ((ord_max_real @ ((genClo1163638703lle_te @ l) @ i)) @ ((genClo1163638703lle_te @ m) @ i)))).
% 1.43/1.70 thf(h0,negated_conjecture,(~(((genClo1015804716orrect @ m) @ ((ord_max_real @ ((genClo1163638703lle_te @ l) @ i)) @ ((genClo1163638703lle_te @ m) @ i))))),inference(assume_negation,[status(cth)],[conj_0])).
% 1.43/1.70 thf(pax1, axiom, (p1=>![X17:nat, X16:real, X11:real]:(~((ford_less_eq_real @ X16 @ X11=>~(fgenClo1015804716orrect @ X17 @ X11)))=>fgenClo1015804716orrect @ X17 @ X16)), file('<stdin>', pax1)).
% 1.43/1.70 thf(pax4, axiom, (p4=>ford_less_eq_real @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi)) @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))), file('<stdin>', pax4)).
% 1.43/1.70 thf(nax45, axiom, (p45<=fgenClo1015804716orrect @ fm @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi))), file('<stdin>', nax45)).
% 1.43/1.70 thf(ax0, axiom, ~(p45), file('<stdin>', ax0)).
% 1.43/1.70 thf(ax44, axiom, p1, file('<stdin>', ax44)).
% 1.43/1.70 thf(ax41, axiom, p4, file('<stdin>', ax41)).
% 1.43/1.70 thf(pax2, axiom, (p2=>fgenClo1015804716orrect @ fm @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))), file('<stdin>', pax2)).
% 1.43/1.70 thf(ax43, axiom, p2, file('<stdin>', ax43)).
% 1.43/1.70 thf(c_0_8, plain, ![X174:nat, X175:real, X176:real]:(~p1|(~ford_less_eq_real @ X175 @ X176|~fgenClo1015804716orrect @ X174 @ X176|fgenClo1015804716orrect @ X174 @ X175)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1])])])])).
% 1.43/1.70 thf(c_0_9, plain, (~p4|ford_less_eq_real @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi)) @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))), inference(fof_nnf,[status(thm)],[pax4])).
% 1.43/1.70 thf(c_0_10, plain, (~fgenClo1015804716orrect @ fm @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi))|p45), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax45])])).
% 1.43/1.70 thf(c_0_11, plain, ~p45, inference(fof_simplification,[status(thm)],[ax0])).
% 1.43/1.70 thf(c_0_12, plain, ![X1:nat, X4:real, X7:real]:(fgenClo1015804716orrect @ X1 @ X4|~p1|~ford_less_eq_real @ X4 @ X7|~fgenClo1015804716orrect @ X1 @ X7), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.43/1.70 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax44])).
% 1.43/1.70 thf(c_0_14, plain, (ford_less_eq_real @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi)) @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))|~p4), inference(split_conjunct,[status(thm)],[c_0_9])).
% 1.43/1.70 thf(c_0_15, plain, p4, inference(split_conjunct,[status(thm)],[ax41])).
% 1.43/1.70 thf(c_0_16, plain, (~p2|fgenClo1015804716orrect @ fm @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))), inference(fof_nnf,[status(thm)],[pax2])).
% 1.43/1.70 thf(c_0_17, plain, (p45|~fgenClo1015804716orrect @ fm @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi))), inference(split_conjunct,[status(thm)],[c_0_10])).
% 1.43/1.70 thf(c_0_18, plain, ~p45, inference(split_conjunct,[status(thm)],[c_0_11])).
% 1.43/1.70 thf(c_0_19, plain, ![X1:nat, X4:real, X7:real]:(fgenClo1015804716orrect @ X1 @ X4|~ford_less_eq_real @ X4 @ X7|~fgenClo1015804716orrect @ X1 @ X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 1.43/1.70 thf(c_0_20, plain, ford_less_eq_real @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi)) @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 1.43/1.70 thf(c_0_21, plain, (fgenClo1015804716orrect @ fm @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))|~p2), inference(split_conjunct,[status(thm)],[c_0_16])).
% 1.43/1.70 thf(c_0_22, plain, p2, inference(split_conjunct,[status(thm)],[ax43])).
% 1.43/1.70 thf(c_0_23, plain, ~fgenClo1015804716orrect @ fm @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi)), inference(sr,[status(thm)],[c_0_17, c_0_18])).
% 1.43/1.70 thf(c_0_24, plain, ![X1:nat]:(fgenClo1015804716orrect @ X1 @ (ford_max_real @ (fgenClo1163638703lle_te @ fl @ fi) @ (fgenClo1163638703lle_te @ fm @ fi))|~fgenClo1015804716orrect @ X1 @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 1.43/1.70 thf(c_0_25, plain, fgenClo1015804716orrect @ fm @ (fgenClo1163638703lle_te @ fp @ (fplus_plus_nat @ fi @ fone_one_nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 1.43/1.70 thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])]), ['proof']).
% 1.43/1.70 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 1.43/1.70 thf(0,theorem,((genClo1015804716orrect @ m) @ ((ord_max_real @ ((genClo1163638703lle_te @ l) @ i)) @ ((genClo1163638703lle_te @ m) @ i))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 1.43/1.70 % SZS output end Proof
%------------------------------------------------------------------------------