TSTP Solution File: SYO442^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO442^1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 600s
% DateTime : Thu Jul 21 19:32:06 EDT 2022
% Result : Theorem 5.89s 6.07s
% Output : Proof 5.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO442^1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sat Jul 9 11:21:46 EDT 2022
% 0.13/0.36 % CPUTime :
% 5.89/6.07 % SZS status Theorem
% 5.89/6.07 % Mode: mode506
% 5.89/6.07 % Inferences: 61548
% 5.89/6.07 % SZS output start Proof
% 5.89/6.07 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 5.89/6.07 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 5.89/6.07 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 5.89/6.07 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 5.89/6.07 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 5.89/6.07 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 5.89/6.07 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 5.89/6.07 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 5.89/6.07 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 5.89/6.07 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 5.89/6.07 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 5.89/6.07 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 5.89/6.07 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 5.89/6.07 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 5.89/6.07 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 5.89/6.07 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 5.89/6.07 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 5.89/6.07 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 5.89/6.07 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 5.89/6.07 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 5.89/6.07 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 5.89/6.07 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 5.89/6.07 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 5.89/6.07 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 5.89/6.07 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 5.89/6.07 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 5.89/6.07 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 5.89/6.07 thf(def_mvalid,definition,(mvalid = (!!))).
% 5.89/6.07 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 5.89/6.07 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 5.89/6.07 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 5.89/6.07 thf(def_mbox_s5,definition,(mbox_s5 = (^[X1:$i>$o]:(^[X2:$i]:(![X3:$i]:(((rel_s5 @ X2) @ X3) => (X1 @ X3))))))).
% 5.89/6.07 thf(def_mdia_s5,definition,(mdia_s5 = (^[X1:$i>$o]:(mnot @ (mbox_s5 @ (mnot @ X1)))))).
% 5.89/6.07 thf(prove,conjecture,(![X1:$i]:(~(((~((~(((~((~((![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (~((~((![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5))))))))))))))))))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3)))))))))) => (~(((~((~((![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3))))))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (~((~((![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5))))))))))))))))))))))))).
% 5.89/6.07 thf(h0,negated_conjecture,(~((![X1:$i]:(~((((![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5))))))))))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3)))))) => (~(((![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5)))))))))))))))))))))),inference(assume_negation,[status(cth)],[prove])).
% 5.89/6.07 thf(ax2314, axiom, ~(p1), file('<stdin>', ax2314)).
% 5.89/6.07 thf(ax2290, axiom, (~(p2)|p26), file('<stdin>', ax2290)).
% 5.89/6.07 thf(ax2309, axiom, (~(p5)|~(p6)|~(p7)), file('<stdin>', ax2309)).
% 5.89/6.07 thf(ax2310, axiom, (p1|p5), file('<stdin>', ax2310)).
% 5.89/6.07 thf(ax2254, axiom, (~(p56)|~(p26)|~(p55)), file('<stdin>', ax2254)).
% 5.89/6.07 thf(ax2313, axiom, p2, file('<stdin>', ax2313)).
% 5.89/6.07 thf(ax2285, axiom, (p6|~(p13)), file('<stdin>', ax2285)).
% 5.89/6.07 thf(ax2253, axiom, (~(p41)|p56), file('<stdin>', ax2253)).
% 5.89/6.07 thf(ax1908, axiom, (~(p210)|~(p16)|p55), file('<stdin>', ax1908)).
% 5.89/6.07 thf(ax1907, axiom, (~(p13)|p210), file('<stdin>', ax1907)).
% 5.89/6.07 thf(ax2274, axiom, (~(p23)|~(p26)|p41), file('<stdin>', ax2274)).
% 5.89/6.07 thf(ax2301, axiom, (p7|~(p14)), file('<stdin>', ax2301)).
% 5.89/6.07 thf(ax2284, axiom, (p13|~(p30)), file('<stdin>', ax2284)).
% 5.89/6.07 thf(ax2293, axiom, (~(p17)|p23), file('<stdin>', ax2293)).
% 5.89/6.07 thf(ax2283, axiom, (p30|p31), file('<stdin>', ax2283)).
% 5.89/6.07 thf(ax2300, axiom, (p14|~(p15)), file('<stdin>', ax2300)).
% 5.89/6.07 thf(ax2299, axiom, (p15|p16), file('<stdin>', ax2299)).
% 5.89/6.07 thf(ax1726, axiom, (~(p337)|~(p31)|~(p336)), file('<stdin>', ax1726)).
% 5.89/6.07 thf(ax1714, axiom, (p336|~(p346)), file('<stdin>', ax1714)).
% 5.89/6.07 thf(ax1725, axiom, (~(p14)|p337), file('<stdin>', ax1725)).
% 5.89/6.07 thf(ax2298, axiom, (p15|p17), file('<stdin>', ax2298)).
% 5.89/6.07 thf(ax2286, axiom, (p6|p14), file('<stdin>', ax2286)).
% 5.89/6.07 thf(ax1712, axiom, (p346|~(p348)), file('<stdin>', ax1712)).
% 5.89/6.07 thf(ax1709, axiom, (p348|~(p351)), file('<stdin>', ax1709)).
% 5.89/6.07 thf(ax2302, axiom, (p7|p13), file('<stdin>', ax2302)).
% 5.89/6.07 thf(ax1663, axiom, (p351|p375), file('<stdin>', ax1663)).
% 5.89/6.07 thf(pax4, axiom, (p4=>![X1:$i, X2:$i]:(frel_s5 @ X1 @ X2=>frel_s5 @ X2 @ X1)), file('<stdin>', pax4)).
% 5.89/6.07 thf(nax346, axiom, (p346<=(frel_s5 @ f__4 @ f__10=>![X1:$i]:(frel_s5 @ f__10 @ X1=>~(![X2:$i]:(frel_s5 @ X1 @ X2=>fp @ X2))))), file('<stdin>', nax346)).
% 5.89/6.07 thf(pax3, axiom, (p3=>![X1:$i, X2:$i, X3:$i]:(~((frel_s5 @ X1 @ X2=>~(frel_s5 @ X2 @ X3)))=>frel_s5 @ X1 @ X3)), file('<stdin>', pax3)).
% 5.89/6.07 thf(ax2311, axiom, p4, file('<stdin>', ax2311)).
% 5.89/6.07 thf(pax375, axiom, (p375=>![X1:$i]:(frel_s5 @ f__11 @ X1=>fp @ X1)), file('<stdin>', pax375)).
% 5.89/6.07 thf(ax2312, axiom, p3, file('<stdin>', ax2312)).
% 5.89/6.07 thf(nax30, axiom, (p30<=(frel_s5 @ f__0 @ f__4=>![X1:$i]:(frel_s5 @ f__4 @ X1=>fp @ X1))), file('<stdin>', nax30)).
% 5.89/6.07 thf(nax351, axiom, (p351<=(frel_s5 @ f__10 @ f__11=>~(![X1:$i]:(frel_s5 @ f__11 @ X1=>fp @ X1)))), file('<stdin>', nax351)).
% 5.89/6.07 thf(c_0_34, plain, ~p1, inference(fof_simplification,[status(thm)],[ax2314])).
% 5.89/6.07 thf(c_0_35, plain, (~p2|p26), inference(fof_simplification,[status(thm)],[ax2290])).
% 5.89/6.07 thf(c_0_36, plain, (~p5|~p6|~p7), inference(fof_simplification,[status(thm)],[ax2309])).
% 5.89/6.07 thf(c_0_37, plain, (p1|p5), inference(split_conjunct,[status(thm)],[ax2310])).
% 5.89/6.07 thf(c_0_38, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_34])).
% 5.89/6.07 thf(c_0_39, plain, (~p56|~p26|~p55), inference(fof_simplification,[status(thm)],[ax2254])).
% 5.89/6.07 thf(c_0_40, plain, (p26|~p2), inference(split_conjunct,[status(thm)],[c_0_35])).
% 5.89/6.07 thf(c_0_41, plain, p2, inference(split_conjunct,[status(thm)],[ax2313])).
% 5.89/6.07 thf(c_0_42, plain, (~p5|~p6|~p7), inference(split_conjunct,[status(thm)],[c_0_36])).
% 5.89/6.07 thf(c_0_43, plain, p5, inference(sr,[status(thm)],[c_0_37, c_0_38])).
% 5.89/6.07 thf(c_0_44, plain, (p6|~p13), inference(fof_simplification,[status(thm)],[ax2285])).
% 5.89/6.07 thf(c_0_45, plain, (~p56|~p26|~p55), inference(split_conjunct,[status(thm)],[c_0_39])).
% 5.89/6.07 thf(c_0_46, plain, p26, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
% 5.89/6.07 thf(c_0_47, plain, (~p41|p56), inference(fof_simplification,[status(thm)],[ax2253])).
% 5.89/6.07 thf(c_0_48, plain, (~p210|~p16|p55), inference(fof_simplification,[status(thm)],[ax1908])).
% 5.89/6.07 thf(c_0_49, plain, (~p13|p210), inference(fof_simplification,[status(thm)],[ax1907])).
% 5.89/6.07 thf(c_0_50, plain, (~p23|~p26|p41), inference(fof_simplification,[status(thm)],[ax2274])).
% 5.89/6.07 thf(c_0_51, plain, (~p6|~p7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 5.89/6.07 thf(c_0_52, plain, (p6|~p13), inference(split_conjunct,[status(thm)],[c_0_44])).
% 5.89/6.07 thf(c_0_53, plain, (p7|~p14), inference(fof_simplification,[status(thm)],[ax2301])).
% 5.89/6.07 thf(c_0_54, plain, (p13|~p30), inference(fof_simplification,[status(thm)],[ax2284])).
% 5.89/6.07 thf(c_0_55, plain, (~p55|~p56), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 5.89/6.07 thf(c_0_56, plain, (p56|~p41), inference(split_conjunct,[status(thm)],[c_0_47])).
% 5.89/6.07 thf(c_0_57, plain, (p55|~p210|~p16), inference(split_conjunct,[status(thm)],[c_0_48])).
% 5.89/6.07 thf(c_0_58, plain, (p210|~p13), inference(split_conjunct,[status(thm)],[c_0_49])).
% 5.89/6.07 thf(c_0_59, plain, (p41|~p23|~p26), inference(split_conjunct,[status(thm)],[c_0_50])).
% 5.89/6.07 thf(c_0_60, plain, (~p17|p23), inference(fof_simplification,[status(thm)],[ax2293])).
% 5.89/6.07 thf(c_0_61, plain, (~p7|~p13), inference(spm,[status(thm)],[c_0_51, c_0_52])).
% 5.89/6.07 thf(c_0_62, plain, (p7|~p14), inference(split_conjunct,[status(thm)],[c_0_53])).
% 5.89/6.07 thf(c_0_63, plain, (p13|~p30), inference(split_conjunct,[status(thm)],[c_0_54])).
% 5.89/6.07 thf(c_0_64, plain, (p30|p31), inference(split_conjunct,[status(thm)],[ax2283])).
% 5.89/6.07 thf(c_0_65, plain, (p14|~p15), inference(fof_simplification,[status(thm)],[ax2300])).
% 5.89/6.07 thf(c_0_66, plain, (~p55|~p41), inference(spm,[status(thm)],[c_0_55, c_0_56])).
% 5.89/6.07 thf(c_0_67, plain, (p55|~p16|~p13), inference(spm,[status(thm)],[c_0_57, c_0_58])).
% 5.89/6.07 thf(c_0_68, plain, (p41|~p23), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_46])])).
% 5.89/6.07 thf(c_0_69, plain, (p23|~p17), inference(split_conjunct,[status(thm)],[c_0_60])).
% 5.89/6.07 thf(c_0_70, plain, (~p13|~p14), inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 5.89/6.07 thf(c_0_71, plain, (p31|p13), inference(spm,[status(thm)],[c_0_63, c_0_64])).
% 5.89/6.07 thf(c_0_72, plain, (p14|~p15), inference(split_conjunct,[status(thm)],[c_0_65])).
% 5.89/6.07 thf(c_0_73, plain, (p15|p16), inference(split_conjunct,[status(thm)],[ax2299])).
% 5.89/6.07 thf(c_0_74, plain, (~p337|~p31|~p336), inference(fof_simplification,[status(thm)],[ax1726])).
% 5.89/6.07 thf(c_0_75, plain, (p336|~p346), inference(fof_simplification,[status(thm)],[ax1714])).
% 5.89/6.07 thf(c_0_76, plain, (~p41|~p16|~p13), inference(spm,[status(thm)],[c_0_66, c_0_67])).
% 5.89/6.07 thf(c_0_77, plain, (p41|~p17), inference(spm,[status(thm)],[c_0_68, c_0_69])).
% 5.89/6.07 thf(c_0_78, plain, (p31|~p14), inference(spm,[status(thm)],[c_0_70, c_0_71])).
% 5.89/6.07 thf(c_0_79, plain, (p16|p14), inference(spm,[status(thm)],[c_0_72, c_0_73])).
% 5.89/6.07 thf(c_0_80, plain, (~p337|~p31|~p336), inference(split_conjunct,[status(thm)],[c_0_74])).
% 5.89/6.07 thf(c_0_81, plain, (p336|~p346), inference(split_conjunct,[status(thm)],[c_0_75])).
% 5.89/6.07 thf(c_0_82, plain, (~p14|p337), inference(fof_simplification,[status(thm)],[ax1725])).
% 5.89/6.07 thf(c_0_83, plain, (~p16|~p13|~p17), inference(spm,[status(thm)],[c_0_76, c_0_77])).
% 5.89/6.07 thf(c_0_84, plain, (p16|p31), inference(spm,[status(thm)],[c_0_78, c_0_79])).
% 5.89/6.07 thf(c_0_85, plain, (p15|p17), inference(split_conjunct,[status(thm)],[ax2298])).
% 5.89/6.07 thf(c_0_86, plain, (p6|p14), inference(split_conjunct,[status(thm)],[ax2286])).
% 5.89/6.07 thf(c_0_87, plain, (p346|~p348), inference(fof_simplification,[status(thm)],[ax1712])).
% 5.89/6.07 thf(c_0_88, plain, (p348|~p351), inference(fof_simplification,[status(thm)],[ax1709])).
% 5.89/6.07 thf(c_0_89, plain, (~p31|~p337|~p346), inference(spm,[status(thm)],[c_0_80, c_0_81])).
% 5.89/6.07 thf(c_0_90, plain, (p337|~p14), inference(split_conjunct,[status(thm)],[c_0_82])).
% 5.89/6.07 thf(c_0_91, plain, (p31|~p17), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_71]), c_0_84])).
% 5.89/6.07 thf(c_0_92, plain, (p17|p14), inference(spm,[status(thm)],[c_0_72, c_0_85])).
% 5.89/6.07 thf(c_0_93, plain, (p14|~p7), inference(spm,[status(thm)],[c_0_51, c_0_86])).
% 5.89/6.07 thf(c_0_94, plain, (p7|p13), inference(split_conjunct,[status(thm)],[ax2302])).
% 5.89/6.07 thf(c_0_95, plain, (p346|~p348), inference(split_conjunct,[status(thm)],[c_0_87])).
% 5.89/6.07 thf(c_0_96, plain, (p348|~p351), inference(split_conjunct,[status(thm)],[c_0_88])).
% 5.89/6.07 thf(c_0_97, plain, (~p31|~p346|~p14), inference(spm,[status(thm)],[c_0_89, c_0_90])).
% 5.89/6.07 thf(c_0_98, plain, p31, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_78])).
% 5.89/6.07 thf(c_0_99, plain, (p13|p14), inference(spm,[status(thm)],[c_0_93, c_0_94])).
% 5.89/6.07 thf(c_0_100, plain, (p346|~p351), inference(spm,[status(thm)],[c_0_95, c_0_96])).
% 5.89/6.07 thf(c_0_101, plain, (p351|p375), inference(split_conjunct,[status(thm)],[ax1663])).
% 5.89/6.07 thf(c_0_102, plain, ![X716:$i, X717:$i]:(~p4|(~frel_s5 @ X716 @ X717|frel_s5 @ X717 @ X716)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax4])])])).
% 5.89/6.07 thf(c_0_103, plain, ![X315:$i]:((frel_s5 @ f__4 @ f__10|p346)&((frel_s5 @ f__10 @ esk155_0|p346)&(~frel_s5 @ esk155_0 @ X315|fp @ X315|p346))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax346])])])])])])).
% 5.89/6.07 thf(c_0_104, plain, (~p346|~p14), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])])).
% 5.89/6.07 thf(c_0_105, plain, p14, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_99]), c_0_92]), c_0_79])).
% 5.89/6.07 thf(c_0_106, plain, (p375|p346), inference(spm,[status(thm)],[c_0_100, c_0_101])).
% 5.89/6.07 thf(c_0_107, plain, ![X720:$i, X721:$i, X722:$i]:(~p3|(~frel_s5 @ X720 @ X721|~frel_s5 @ X721 @ X722|frel_s5 @ X720 @ X722)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])).
% 5.89/6.07 thf(c_0_108, plain, ![X1:$i, X2:$i]:(frel_s5 @ X2 @ X1|~p4|~frel_s5 @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_102])).
% 5.89/6.07 thf(c_0_109, plain, p4, inference(split_conjunct,[status(thm)],[ax2311])).
% 5.89/6.07 thf(c_0_110, plain, (frel_s5 @ f__4 @ f__10|p346), inference(split_conjunct,[status(thm)],[c_0_103])).
% 5.89/6.07 thf(c_0_111, plain, ~p346, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104, c_0_105])])).
% 5.89/6.07 thf(c_0_112, plain, ![X274:$i]:(~p375|(~frel_s5 @ f__11 @ X274|fp @ X274)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax375])])])).
% 5.89/6.07 thf(c_0_113, plain, (p375|~p14), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_106]), c_0_78])).
% 5.89/6.07 thf(c_0_114, plain, ![X1:$i, X2:$i, X3:$i]:(frel_s5 @ X1 @ X3|~p3|~frel_s5 @ X1 @ X2|~frel_s5 @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_107])).
% 5.89/6.07 thf(c_0_115, plain, p3, inference(split_conjunct,[status(thm)],[ax2312])).
% 5.89/6.07 thf(c_0_116, plain, ![X2:$i, X1:$i]:(frel_s5 @ X1 @ X2|~frel_s5 @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])).
% 5.89/6.07 thf(c_0_117, plain, frel_s5 @ f__4 @ f__10, inference(sr,[status(thm)],[c_0_110, c_0_111])).
% 5.89/6.07 thf(c_0_118, plain, ((frel_s5 @ f__0 @ f__4|p30)&((frel_s5 @ f__4 @ esk303_0|p30)&(~fp @ esk303_0|p30))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax30])])])])])).
% 5.89/6.07 thf(c_0_119, plain, ![X303:$i]:((frel_s5 @ f__10 @ f__11|p351)&(~frel_s5 @ f__11 @ X303|fp @ X303|p351)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax351])])])])])).
% 5.89/6.07 thf(c_0_120, plain, ![X1:$i]:(fp @ X1|~p375|~frel_s5 @ f__11 @ X1), inference(split_conjunct,[status(thm)],[c_0_112])).
% 5.89/6.07 thf(c_0_121, plain, p375, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113, c_0_105])])).
% 5.89/6.07 thf(c_0_122, plain, ![X1:$i, X2:$i, X3:$i]:(frel_s5 @ X1 @ X2|~frel_s5 @ X3 @ X2|~frel_s5 @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114, c_0_115])])).
% 5.89/6.07 thf(c_0_123, plain, frel_s5 @ f__10 @ f__4, inference(spm,[status(thm)],[c_0_116, c_0_117])).
% 5.89/6.07 thf(c_0_124, plain, (frel_s5 @ f__4 @ esk303_0|p30), inference(split_conjunct,[status(thm)],[c_0_118])).
% 5.89/6.07 thf(c_0_125, plain, (frel_s5 @ f__10 @ f__11|p351), inference(split_conjunct,[status(thm)],[c_0_119])).
% 5.89/6.07 thf(c_0_126, plain, (p30|~fp @ esk303_0), inference(split_conjunct,[status(thm)],[c_0_118])).
% 5.89/6.07 thf(c_0_127, plain, ![X1:$i]:(fp @ X1|~frel_s5 @ f__11 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120, c_0_121])])).
% 5.89/6.07 thf(c_0_128, plain, ![X1:$i]:(frel_s5 @ X1 @ f__4|~frel_s5 @ X1 @ f__10), inference(spm,[status(thm)],[c_0_122, c_0_123])).
% 5.89/6.07 thf(c_0_129, plain, ![X1:$i]:(frel_s5 @ X1 @ esk303_0|p30|~frel_s5 @ X1 @ f__4), inference(spm,[status(thm)],[c_0_122, c_0_124])).
% 5.89/6.07 thf(c_0_130, plain, (frel_s5 @ f__11 @ f__10|p351), inference(spm,[status(thm)],[c_0_116, c_0_125])).
% 5.89/6.07 thf(c_0_131, plain, (p30|~frel_s5 @ f__11 @ esk303_0), inference(spm,[status(thm)],[c_0_126, c_0_127])).
% 5.89/6.07 thf(c_0_132, plain, ~p13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_105])])).
% 5.89/6.07 thf(c_0_133, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_128, c_0_129, c_0_130, c_0_131, c_0_96, c_0_95, c_0_63, c_0_132, c_0_111]), ['proof']).
% 5.89/6.07 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.89/6.07 thf(0,theorem,(![X1:$i]:(~(((~((~(((~((~((![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (~((~((![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5))))))))))))))))))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3)))))))))) => (~(((~((~((![X2:$i]:(((rel_s5 @ X1) @ X2) => (![X3:$i]:(((rel_s5 @ X2) @ X3) => (p @ X3))))))))) => (![X2:$i]:(((rel_s5 @ X1) @ X2) => (~((![X3:$i]:(((rel_s5 @ X2) @ X3) => (~((~((![X4:$i]:(((rel_s5 @ X3) @ X4) => (~((![X5:$i]:(((rel_s5 @ X4) @ X5) => (p @ X5)))))))))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.89/6.07 % SZS output end Proof
%------------------------------------------------------------------------------