0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s 0.09/0.30 Computer : n012.cluster.edu 0.09/0.30 Model : x86_64 x86_64 0.09/0.30 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 RAMPerCPU : 8042.1875MB 0.09/0.30 OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % DateTime : Mon Jul 3 06:11:52 EDT 2023 0.09/0.30 % CPUTime : 4.60/4.90 % SZS status Theorem 4.60/4.90 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1 4.60/4.90 % Inferences: 0 4.60/4.90 % SZS output start Proof 4.60/4.90 thf(conj_0,conjecture,(((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel)). 4.60/4.90 thf(h0,negated_conjecture,(~((((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel))),inference(assume_negation,[status(cth)],[conj_0])). 4.60/4.90 tff(pax9, axiom, (p9=>(fa)=(flate_BoundOutputS @ faa)), file('', pax9)). 4.60/4.90 tff(pax8, axiom, (p8=>![X136:set_Pr1834926343_pi_pi, X137:pi, X135:late_subject, X116:name]:(ford_le630093991_pi_pi @ fid_pi @ X136=>fstrong2129052853vative @ X137 @ X137 @ X135 @ X116 @ X136)), file('', pax8)). 4.60/4.90 tff(pax65, axiom, (p65=>ford_le630093991_pi_pi @ fid_pi @ frel), file('', pax65)). 4.60/4.90 tff(nax87, axiom, (p87<=fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel), file('', nax87)). 4.60/4.90 fof(ax83, axiom, p9, file('', ax83)). 4.60/4.90 fof(ax5, axiom, ~(p87), file('', ax5)). 4.60/4.90 fof(ax84, axiom, p8, file('', ax84)). 4.60/4.90 fof(ax27, axiom, p65, file('', ax27)). 4.60/4.90 tff(c_0_8, plain, (~p9|(fa)=(flate_BoundOutputS @ faa)), inference(fof_nnf,[status(thm)],[pax9])). 4.60/4.90 tff(c_0_9, plain, ![X526:set_Pr1834926343_pi_pi, X527:pi, X528:late_subject, X529:name]:(~p8|(~ford_le630093991_pi_pi @ fid_pi @ X526|fstrong2129052853vative @ X527 @ X527 @ X528 @ X529 @ X526)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax8])])])). 4.60/4.90 tff(c_0_10, plain, (~p65|ford_le630093991_pi_pi @ fid_pi @ frel), inference(fof_nnf,[status(thm)],[pax65])). 4.60/4.90 tff(c_0_11, plain, (~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel|p87), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax87])])). 4.60/4.90 thf(c_0_12, plain, ((fa)=(flate_BoundOutputS @ faa)|~p9), inference(split_conjunct,[status(thm)],[c_0_8])). 4.60/4.90 thf(c_0_13, plain, (p9), inference(split_conjunct,[status(thm)],[ax83])). 4.60/4.90 fof(c_0_14, plain, ~p87, inference(fof_simplification,[status(thm)],[ax5])). 4.60/4.90 thf(c_0_15, plain, ![X1:name, X4:pi, X12:late_subject, X11:set_Pr1834926343_pi_pi]:(fstrong2129052853vative @ X4 @ X4 @ X12 @ X1 @ X11|~p8|~ford_le630093991_pi_pi @ fid_pi @ X11), inference(split_conjunct,[status(thm)],[c_0_9])). 4.60/4.90 thf(c_0_16, plain, (p8), inference(split_conjunct,[status(thm)],[ax84])). 4.60/4.90 thf(c_0_17, plain, (ford_le630093991_pi_pi @ fid_pi @ frel|~p65), inference(split_conjunct,[status(thm)],[c_0_10])). 4.60/4.90 thf(c_0_18, plain, (p65), inference(split_conjunct,[status(thm)],[ax27])). 4.60/4.90 thf(c_0_19, plain, (p87|~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (flate_BoundOutputS @ faa) @ fy @ frel), inference(split_conjunct,[status(thm)],[c_0_11])). 4.60/4.90 thf(c_0_20, plain, (flate_BoundOutputS @ faa)=(fa), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])). 4.60/4.90 thf(c_0_21, plain, (~p87), inference(split_conjunct,[status(thm)],[c_0_14])). 4.60/4.90 thf(c_0_22, plain, ![X1:name, X4:pi, X12:late_subject, X11:set_Pr1834926343_pi_pi]:(fstrong2129052853vative @ X4 @ X4 @ X12 @ X1 @ X11|~ford_le630093991_pi_pi @ fid_pi @ X11), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])). 4.60/4.90 thf(c_0_23, plain, ford_le630093991_pi_pi @ fid_pi @ frel, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])). 4.60/4.90 thf(c_0_24, plain, ~fstrong2129052853vative @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ (fperm_name_pi @ (fcons_P1213805021e_name @ (fproduc1570949143e_name @ fy @ fx) @ fnil_Pr743626285e_name) @ fp2) @ fa @ fy @ frel, inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_21])). 4.60/4.90 thf(c_0_25, plain, ![X1:name, X12:late_subject, X4:pi]:fstrong2129052853vative @ X4 @ X4 @ X12 @ X1 @ frel, inference(spm,[status(thm)],[c_0_22, c_0_23])). 4.60/4.90 thf(c_0_26, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])]), ['proof']). 4.60/4.90 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])). 4.60/4.90 thf(0,theorem,(((((strong2129052853vative @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ ((perm_name_pi @ ((cons_P1213805021e_name @ ((produc1570949143e_name @ y) @ x)) @ nil_Pr743626285e_name)) @ p2)) @ (late_BoundOutputS @ aa)) @ y) @ rel),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])). 4.60/4.90 % SZS output end Proof 4.60/4.90 EOF