%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : PLA032^7 : TPTP v9.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n007.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 02:14:08 PM UTC 2025
% Result : Theorem 3.46s 3.72s
% Output : Proof 3.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA032^7 : TPTP v9.2.0. Released v5.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 12:19:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 3.46/3.72 % SZS status Theorem
% 3.46/3.72 % Mode: mode506
% 3.46/3.72 % Inferences: 40545
% 3.46/3.72 % SZS output start Proof
% 3.46/3.72 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 3.46/3.72 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 3.46/3.72 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 3.46/3.72 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 3.46/3.72 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 3.46/3.72 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 3.46/3.72 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 3.46/3.72 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 3.46/3.72 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 3.46/3.72 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 3.46/3.72 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 3.46/3.72 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 3.46/3.72 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 3.46/3.72 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:(((exists_in_world @ X3) @ X2) => ((X1 @ X3) @ X2))))))).
% 3.46/3.72 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 3.46/3.72 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 3.46/3.72 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 3.46/3.72 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 3.46/3.72 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 3.46/3.72 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 3.46/3.72 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 3.46/3.72 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 3.46/3.72 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 3.46/3.72 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 3.46/3.72 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))))))))).
% 3.46/3.72 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 3.46/3.72 thf(def_mvalid,definition,(mvalid = (!!))).
% 3.46/3.72 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 3.46/3.72 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 3.46/3.72 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 3.46/3.72 thf(def_mbox_s4,definition,(mbox_s4 = (^[X1:$i>$o]:(^[X2:$i]:(![X3:$i]:(((rel_s4 @ X2) @ X3) => (X1 @ X3))))))).
% 3.46/3.72 thf(def_mdia_s4,definition,(mdia_s4 = (^[X1:$i>$o]:(mnot @ (mbox_s4 @ (mnot @ X1)))))).
% 3.46/3.72 thf(con,conjecture,(![X1:$i]:(![X2:$i]:(((rel_s4 @ X1) @ X2) => (![X3:mu]:(((exists_in_world @ X3) @ X2) => (~((![X4:mu]:(((exists_in_world @ X4) @ X2) => (~(((~((~((~(((~((~(((bomb @ X3) @ X2))))) => (~(((h @ X4) @ X2)))))))))) => ((defused @ X3) @ X2)))))))))))))).
% 3.46/3.72 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:(((rel_s4 @ X1) @ X2) => (![X3:mu]:(((exists_in_world @ X3) @ X2) => (~((![X4:mu]:(((exists_in_world @ X4) @ X2) => (~(((~((((bomb @ X3) @ X2) => (~(((h @ X4) @ X2)))))) => ((defused @ X3) @ X2))))))))))))))),inference(assume_negation,[status(cth)],[con])).
% 3.46/3.72 thf(ax1333, axiom, (p1|~(p9)), file('<stdin>', ax1333)).
% 3.46/3.72 thf(ax1341, axiom, ~(p1), file('<stdin>', ax1341)).
% 3.46/3.72 thf(ax1332, axiom, (p9|~(p10)), file('<stdin>', ax1332)).
% 3.46/3.72 thf(ax1208, axiom, (~(p8)|p125), file('<stdin>', ax1208)).
% 3.46/3.72 thf(ax1209, axiom, (~(p125)|p124), file('<stdin>', ax1209)).
% 3.46/3.72 thf(ax1334, axiom, p8, file('<stdin>', ax1334)).
% 3.46/3.72 thf(ax1210, axiom, (~(p124)|~(p11)|p43), file('<stdin>', ax1210)).
% 3.46/3.72 thf(ax1331, axiom, (p10|p11), file('<stdin>', ax1331)).
% 3.46/3.72 thf(ax1330, axiom, (p10|~(p12)), file('<stdin>', ax1330)).
% 3.46/3.72 thf(ax1238, axiom, (~(p43)|p98), file('<stdin>', ax1238)).
% 3.46/3.72 thf(ax1329, axiom, (p12|~(p13)), file('<stdin>', ax1329)).
% 3.46/3.72 thf(ax1239, axiom, (~(p98)|~(p14)|~(p97)), file('<stdin>', ax1239)).
% 3.46/3.72 thf(ax1328, axiom, (p13|p14), file('<stdin>', ax1328)).
% 3.46/3.72 thf(ax1313, axiom, (~(p2)|~(p29)), file('<stdin>', ax1313)).
% 3.46/3.72 thf(ax1230, axiom, (p97|~(p105)), file('<stdin>', ax1230)).
% 3.46/3.72 thf(ax1340, axiom, p2, file('<stdin>', ax1340)).
% 3.46/3.72 thf(ax1315, axiom, (~(p3)|p27), file('<stdin>', ax1315)).
% 3.46/3.72 thf(ax1311, axiom, (~(p32)|~(p30)|~(p31)), file('<stdin>', ax1311)).
% 3.46/3.72 thf(ax1312, axiom, (p29|p30), file('<stdin>', ax1312)).
% 3.46/3.72 thf(ax1310, axiom, (~(p15)|p32), file('<stdin>', ax1310)).
% 3.46/3.72 thf(ax1327, axiom, (p13|p15), file('<stdin>', ax1327)).
% 3.46/3.72 thf(ax1141, axiom, (~(p166)|~(p27)|p165), file('<stdin>', ax1141)).
% 3.46/3.72 thf(ax1339, axiom, p3, file('<stdin>', ax1339)).
% 3.46/3.72 thf(ax1140, axiom, (~(p156)|p166), file('<stdin>', ax1140)).
% 3.46/3.72 thf(ax1148, axiom, (p105|p156), file('<stdin>', ax1148)).
% 3.46/3.72 thf(ax1307, axiom, (p31|~(p35)), file('<stdin>', ax1307)).
% 3.46/3.72 thf(ax1142, axiom, (~(p165)|p164|p35), file('<stdin>', ax1142)).
% 3.46/3.72 thf(ax1143, axiom, (~(p164)|~(p36)|~(p163)), file('<stdin>', ax1143)).
% 3.46/3.72 thf(ax1308, axiom, (p31|~(p34)), file('<stdin>', ax1308)).
% 3.46/3.72 thf(ax1306, axiom, (p34|p36), file('<stdin>', ax1306)).
% 3.46/3.72 thf(nax163, axiom, (p163<=fh @ f__14 @ f__1), file('<stdin>', nax163)).
% 3.46/3.72 thf(nax10, axiom, (p10<=(frel_s4 @ f__0 @ f__1=>![X143:mu]:(fexists_in_world @ X143 @ f__1=>~(![X145:mu]:(fexists_in_world @ X145 @ f__1=>~((~((fbomb @ X143 @ f__1=>~(fh @ X145 @ f__1)))=>fdefused @ X143 @ f__1))))))), file('<stdin>', nax10)).
% 3.46/3.72 thf(nax105, axiom, (p105<=(fexists_in_world @ f__14 @ f__1=>~(![X113:$i]:(frel_s4 @ f__1 @ X113=>(~((fbomb @ f__2 @ X113=>~(fh @ f__14 @ X113)))=>fdefused @ f__2 @ X113))))), file('<stdin>', nax105)).
% 3.46/3.72 thf(c_0_33, plain, (p1|~p9), inference(fof_simplification,[status(thm)],[ax1333])).
% 3.46/3.72 thf(c_0_34, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1341])).
% 3.46/3.72 thf(c_0_35, plain, (p9|~p10), inference(fof_simplification,[status(thm)],[ax1332])).
% 3.46/3.72 thf(c_0_36, plain, (p1|~p9), inference(split_conjunct,[status(thm)],[c_0_33])).
% 3.46/3.72 thf(c_0_37, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_34])).
% 3.46/3.72 thf(c_0_38, plain, (~p8|p125), inference(fof_simplification,[status(thm)],[ax1208])).
% 3.46/3.72 thf(c_0_39, plain, (p9|~p10), inference(split_conjunct,[status(thm)],[c_0_35])).
% 3.46/3.72 thf(c_0_40, plain, ~p9, inference(sr,[status(thm)],[c_0_36, c_0_37])).
% 3.46/3.72 thf(c_0_41, plain, (~p125|p124), inference(fof_simplification,[status(thm)],[ax1209])).
% 3.46/3.72 thf(c_0_42, plain, (p125|~p8), inference(split_conjunct,[status(thm)],[c_0_38])).
% 3.46/3.72 thf(c_0_43, plain, p8, inference(split_conjunct,[status(thm)],[ax1334])).
% 3.46/3.72 thf(c_0_44, plain, (~p124|~p11|p43), inference(fof_simplification,[status(thm)],[ax1210])).
% 3.46/3.72 thf(c_0_45, plain, (p10|p11), inference(split_conjunct,[status(thm)],[ax1331])).
% 3.46/3.72 thf(c_0_46, plain, ~p10, inference(sr,[status(thm)],[c_0_39, c_0_40])).
% 3.46/3.72 thf(c_0_47, plain, (p124|~p125), inference(split_conjunct,[status(thm)],[c_0_41])).
% 3.46/3.72 thf(c_0_48, plain, p125, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 3.46/3.72 thf(c_0_49, plain, (p10|~p12), inference(fof_simplification,[status(thm)],[ax1330])).
% 3.46/3.72 thf(c_0_50, plain, (~p43|p98), inference(fof_simplification,[status(thm)],[ax1238])).
% 3.46/3.72 thf(c_0_51, plain, (p43|~p124|~p11), inference(split_conjunct,[status(thm)],[c_0_44])).
% 3.46/3.72 thf(c_0_52, plain, p11, inference(sr,[status(thm)],[c_0_45, c_0_46])).
% 3.46/3.72 thf(c_0_53, plain, p124, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
% 3.46/3.72 thf(c_0_54, plain, (p12|~p13), inference(fof_simplification,[status(thm)],[ax1329])).
% 3.46/3.72 thf(c_0_55, plain, (p10|~p12), inference(split_conjunct,[status(thm)],[c_0_49])).
% 3.46/3.72 thf(c_0_56, plain, (~p98|~p14|~p97), inference(fof_simplification,[status(thm)],[ax1239])).
% 3.46/3.72 thf(c_0_57, plain, (p98|~p43), inference(split_conjunct,[status(thm)],[c_0_50])).
% 3.46/3.72 thf(c_0_58, plain, p43, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51, c_0_52]), c_0_53])])).
% 3.46/3.72 thf(c_0_59, plain, (p12|~p13), inference(split_conjunct,[status(thm)],[c_0_54])).
% 3.46/3.72 thf(c_0_60, plain, ~p12, inference(sr,[status(thm)],[c_0_55, c_0_46])).
% 3.46/3.72 thf(c_0_61, plain, (~p98|~p14|~p97), inference(split_conjunct,[status(thm)],[c_0_56])).
% 3.46/3.72 thf(c_0_62, plain, p98, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])])).
% 3.46/3.72 thf(c_0_63, plain, (p13|p14), inference(split_conjunct,[status(thm)],[ax1328])).
% 3.46/3.72 thf(c_0_64, plain, ~p13, inference(sr,[status(thm)],[c_0_59, c_0_60])).
% 3.46/3.72 thf(c_0_65, plain, (~p2|~p29), inference(fof_simplification,[status(thm)],[ax1313])).
% 3.46/3.72 thf(c_0_66, plain, (p97|~p105), inference(fof_simplification,[status(thm)],[ax1230])).
% 3.46/3.72 thf(c_0_67, plain, (~p14|~p97), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 3.46/3.72 thf(c_0_68, plain, p14, inference(sr,[status(thm)],[c_0_63, c_0_64])).
% 3.46/3.72 thf(c_0_69, plain, (~p2|~p29), inference(split_conjunct,[status(thm)],[c_0_65])).
% 3.46/3.72 thf(c_0_70, plain, p2, inference(split_conjunct,[status(thm)],[ax1340])).
% 3.46/3.72 thf(c_0_71, plain, (~p3|p27), inference(fof_simplification,[status(thm)],[ax1315])).
% 3.46/3.72 thf(c_0_72, plain, (p97|~p105), inference(split_conjunct,[status(thm)],[c_0_66])).
% 3.46/3.72 thf(c_0_73, plain, ~p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 3.46/3.72 thf(c_0_74, plain, (~p32|~p30|~p31), inference(fof_simplification,[status(thm)],[ax1311])).
% 3.46/3.72 thf(c_0_75, plain, (p29|p30), inference(split_conjunct,[status(thm)],[ax1312])).
% 3.46/3.72 thf(c_0_76, plain, ~p29, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 3.46/3.72 thf(c_0_77, plain, (~p15|p32), inference(fof_simplification,[status(thm)],[ax1310])).
% 3.46/3.72 thf(c_0_78, plain, (p13|p15), inference(split_conjunct,[status(thm)],[ax1327])).
% 3.46/3.72 thf(c_0_79, plain, (~p166|~p27|p165), inference(fof_simplification,[status(thm)],[ax1141])).
% 3.46/3.72 thf(c_0_80, plain, (p27|~p3), inference(split_conjunct,[status(thm)],[c_0_71])).
% 3.46/3.72 thf(c_0_81, plain, p3, inference(split_conjunct,[status(thm)],[ax1339])).
% 3.46/3.72 thf(c_0_82, plain, (~p156|p166), inference(fof_simplification,[status(thm)],[ax1140])).
% 3.46/3.72 thf(c_0_83, plain, (p105|p156), inference(split_conjunct,[status(thm)],[ax1148])).
% 3.46/3.72 thf(c_0_84, plain, ~p105, inference(sr,[status(thm)],[c_0_72, c_0_73])).
% 3.46/3.72 thf(c_0_85, plain, (~p32|~p30|~p31), inference(split_conjunct,[status(thm)],[c_0_74])).
% 3.46/3.72 thf(c_0_86, plain, p30, inference(sr,[status(thm)],[c_0_75, c_0_76])).
% 3.46/3.72 thf(c_0_87, plain, (p32|~p15), inference(split_conjunct,[status(thm)],[c_0_77])).
% 3.46/3.72 thf(c_0_88, plain, p15, inference(sr,[status(thm)],[c_0_78, c_0_64])).
% 3.46/3.72 thf(c_0_89, plain, (p165|~p166|~p27), inference(split_conjunct,[status(thm)],[c_0_79])).
% 3.46/3.72 thf(c_0_90, plain, p27, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 3.46/3.72 thf(c_0_91, plain, (p166|~p156), inference(split_conjunct,[status(thm)],[c_0_82])).
% 3.46/3.72 thf(c_0_92, plain, p156, inference(sr,[status(thm)],[c_0_83, c_0_84])).
% 3.46/3.72 thf(c_0_93, plain, (~p31|~p32), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])])).
% 3.46/3.72 thf(c_0_94, plain, p32, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
% 3.46/3.72 thf(c_0_95, plain, (p31|~p35), inference(fof_simplification,[status(thm)],[ax1307])).
% 3.46/3.72 thf(c_0_96, plain, (~p165|p164|p35), inference(fof_simplification,[status(thm)],[ax1142])).
% 3.46/3.72 thf(c_0_97, plain, (p165|~p166), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 3.46/3.72 thf(c_0_98, plain, p166, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])).
% 3.46/3.72 thf(c_0_99, plain, ~p31, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 3.46/3.72 thf(c_0_100, plain, (p31|~p35), inference(split_conjunct,[status(thm)],[c_0_95])).
% 3.46/3.72 thf(c_0_101, plain, (~p164|~p36|~p163), inference(fof_simplification,[status(thm)],[ax1143])).
% 3.46/3.72 thf(c_0_102, plain, (p164|p35|~p165), inference(split_conjunct,[status(thm)],[c_0_96])).
% 3.46/3.72 thf(c_0_103, plain, p165, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])])).
% 3.46/3.72 thf(c_0_104, plain, ~p35, inference(spm,[status(thm)],[c_0_99, c_0_100])).
% 3.46/3.72 thf(c_0_105, plain, (p31|~p34), inference(fof_simplification,[status(thm)],[ax1308])).
% 3.46/3.72 thf(c_0_106, plain, (~p164|~p36|~p163), inference(split_conjunct,[status(thm)],[c_0_101])).
% 3.46/3.72 thf(c_0_107, plain, p164, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_103])]), c_0_104])).
% 3.46/3.72 thf(c_0_108, plain, (p31|~p34), inference(split_conjunct,[status(thm)],[c_0_105])).
% 3.46/3.72 thf(c_0_109, plain, (p34|p36), inference(split_conjunct,[status(thm)],[ax1306])).
% 3.46/3.72 thf(c_0_110, plain, (~fh @ f__14 @ f__1|p163), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax163])])).
% 3.46/3.72 thf(c_0_111, plain, (~p36|~p163), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106, c_0_107])])).
% 3.46/3.72 thf(c_0_112, plain, p36, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_99])).
% 3.46/3.72 thf(c_0_113, plain, ![X1345:mu]:((frel_s4 @ f__0 @ f__1|p10)&((fexists_in_world @ esk593_0 @ f__1|p10)&(((fbomb @ esk593_0 @ f__1|~fexists_in_world @ X1345 @ f__1|p10)&(fh @ X1345 @ f__1|~fexists_in_world @ X1345 @ f__1|p10))&(~fdefused @ esk593_0 @ f__1|~fexists_in_world @ X1345 @ f__1|p10)))), 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)],[nax10])])])])])])).
% 3.46/3.72 thf(c_0_114, plain, ![X1135:$i]:((fexists_in_world @ f__14 @ f__1|p105)&(~frel_s4 @ f__1 @ X1135|(~fbomb @ f__2 @ X1135|~fh @ f__14 @ X1135|fdefused @ f__2 @ X1135)|p105)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax105])])])])])).
% 3.46/3.72 thf(c_0_115, plain, (p163|~fh @ f__14 @ f__1), inference(split_conjunct,[status(thm)],[c_0_110])).
% 3.46/3.72 thf(c_0_116, plain, ~p163, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
% 3.46/3.72 thf(c_0_117, plain, ![X2:mu]:(fh @ X2 @ f__1|p10|~fexists_in_world @ X2 @ f__1), inference(split_conjunct,[status(thm)],[c_0_113])).
% 3.46/3.72 thf(c_0_118, plain, (fexists_in_world @ f__14 @ f__1|p105), inference(split_conjunct,[status(thm)],[c_0_114])).
% 3.46/3.72 thf(c_0_119, plain, ~fh @ f__14 @ f__1, inference(sr,[status(thm)],[c_0_115, c_0_116])).
% 3.46/3.72 thf(c_0_120, plain, ![X2:mu]:(fh @ X2 @ f__1|~fexists_in_world @ X2 @ f__1), inference(sr,[status(thm)],[c_0_117, c_0_46])).
% 3.46/3.72 thf(c_0_121, plain, fexists_in_world @ f__14 @ f__1, inference(sr,[status(thm)],[c_0_118, c_0_84])).
% 3.46/3.72 thf(c_0_122, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_121])]), ['proof']).
% 3.46/3.72 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 3.46/3.72 thf(0,theorem,(![X1:$i]:(![X2:$i]:(((rel_s4 @ X1) @ X2) => (![X3:mu]:(((exists_in_world @ X3) @ X2) => (~((![X4:mu]:(((exists_in_world @ X4) @ X2) => (~(((~((~((~(((~((~(((bomb @ X3) @ X2))))) => (~(((h @ X4) @ X2)))))))))) => ((defused @ X3) @ X2))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 3.46/3.72 % SZS output end Proof
%------------------------------------------------------------------------------