%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SWV436^4 : TPTP v9.2.0. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n014.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 03:07:22 PM UTC 2025 % Result : Theorem 13.14s 13.32s % Output : Proof 13.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV436^4 : TPTP v9.2.0. Released v3.6.0. % 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Oct 8 14:11:38 EDT 2025 % 0.12/0.33 % CPUTime : % 13.14/13.32 % SZS status Theorem % 13.14/13.32 % Mode: mode454 % 13.14/13.32 % Inferences: 59 % 13.14/13.32 % SZS output start Proof % 13.14/13.32 thf(ty_eigen__1, type, eigen__1 : $i). % 13.14/13.32 thf(ty_eigen__0, type, eigen__0 : $i). % 13.14/13.32 thf(ty_admin, type, admin : ($i>$o)). % 13.14/13.32 thf(ty_deletefile1, type, deletefile1 : ($i>$o)). % 13.14/13.32 thf(ty_bob, type, bob : ($i>$o)). % 13.14/13.32 thf(ty_rel, type, rel : ($i>$i>$o)). % 13.14/13.32 thf(h0, assumption, (![X1:$i>$o]:(![X2:$i]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])). % 13.14/13.32 thf(eigendef_eigen__1, definition, eigen__1 = (eps__0 @ (^[X1:$i]:(~((((rel @ eigen__0) @ X1) => (deletefile1 @ X1)))))), introduced(definition,[new_symbols(definition,[eigen__1])])). % 13.14/13.32 thf(eigendef_eigen__0, definition, eigen__0 = (eps__0 @ (^[X1:$i]:(~((![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2))))))), introduced(definition,[new_symbols(definition,[eigen__0])])). % 13.14/13.32 thf(sP1,plain,sP1 <=> (![X1:$i]:(((rel @ eigen__0) @ X1) => ((~((admin @ X1))) => (![X2:$i]:(((rel @ X1) @ X2) => ((~((![X3:$i]:(((rel @ X2) @ X3) => ((bob @ X3) => (admin @ X3)))))) => (![X3:$i]:(((rel @ X2) @ X3) => (deletefile1 @ X3))))))))),introduced(definition,[new_symbols(definition,[sP1])])). % 13.14/13.32 thf(sP2,plain,sP2 <=> (![X1:$i]:(![X2:$i]:(((rel @ X1) @ X2) => ((~((bob @ X2))) => (![X3:$i]:(((rel @ X2) @ X3) => (deletefile1 @ X3))))))),introduced(definition,[new_symbols(definition,[sP2])])). % 13.14/13.32 thf(sP3,plain,sP3 <=> (![X1:$i]:(((rel @ eigen__0) @ X1) => (deletefile1 @ X1))),introduced(definition,[new_symbols(definition,[sP3])])). % 13.14/13.32 thf(sP4,plain,sP4 <=> (![X1:$i]:((![X2:$i]:(((rel @ X1) @ X2) => ((~((![X3:$i]:(((rel @ X2) @ X3) => ((bob @ X3) => (admin @ X3)))))) => (![X3:$i]:(((rel @ X2) @ X3) => (deletefile1 @ X3)))))) => ((~((![X2:$i]:(((rel @ X1) @ X2) => ((bob @ X2) => (admin @ X2)))))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))),introduced(definition,[new_symbols(definition,[sP4])])). % 13.14/13.32 thf(sP5,plain,sP5 <=> (![X1:$i]:(((rel @ eigen__1) @ X1) => ((bob @ X1) => (admin @ X1)))),introduced(definition,[new_symbols(definition,[sP5])])). % 13.14/13.32 thf(sP6,plain,sP6 <=> (deletefile1 @ eigen__1),introduced(definition,[new_symbols(definition,[sP6])])). % 13.14/13.32 thf(sP7,plain,sP7 <=> (![X1:$i]:((![X2:$i]:(((rel @ X1) @ X2) => (~((admin @ X2))))) => (~((admin @ X1))))),introduced(definition,[new_symbols(definition,[sP7])])). % 13.14/13.32 thf(sP8,plain,sP8 <=> ((~(sP5)) => (![X1:$i]:(((rel @ eigen__1) @ X1) => (deletefile1 @ X1)))),introduced(definition,[new_symbols(definition,[sP8])])). % 13.14/13.32 thf(sP9,plain,sP9 <=> ((bob @ eigen__1) => (admin @ eigen__1)),introduced(definition,[new_symbols(definition,[sP9])])). % 13.14/13.32 thf(sP10,plain,sP10 <=> ((~((bob @ eigen__1))) => (![X1:$i]:(((rel @ eigen__1) @ X1) => (deletefile1 @ X1)))),introduced(definition,[new_symbols(definition,[sP10])])). % 13.14/13.32 thf(sP11,plain,sP11 <=> ((![X1:$i]:(((rel @ eigen__1) @ X1) => ((~((![X2:$i]:(((rel @ X1) @ X2) => ((bob @ X2) => (admin @ X2)))))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))) => sP8),introduced(definition,[new_symbols(definition,[sP11])])). % 13.14/13.32 thf(sP12,plain,sP12 <=> (![X1:$i>$o]:(![X2:$i]:((![X3:$i]:(((rel @ X2) @ X3) => (X1 @ X3))) => (X1 @ X2)))),introduced(definition,[new_symbols(definition,[sP12])])). % 13.14/13.32 thf(sP13,plain,sP13 <=> (admin @ eigen__1),introduced(definition,[new_symbols(definition,[sP13])])). % 13.14/13.32 thf(sP14,plain,sP14 <=> (((rel @ eigen__0) @ eigen__1) => ((~(sP13)) => (![X1:$i]:(((rel @ eigen__1) @ X1) => ((~((![X2:$i]:(((rel @ X1) @ X2) => ((bob @ X2) => (admin @ X2)))))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))))),introduced(definition,[new_symbols(definition,[sP14])])). % 13.14/13.32 thf(sP15,plain,sP15 <=> ((![X1:$i]:(((rel @ eigen__1) @ X1) => (~((admin @ X1))))) => (~(sP13))),introduced(definition,[new_symbols(definition,[sP15])])). % 13.14/13.32 thf(sP16,plain,sP16 <=> ((~((![X1:$i]:(((rel @ eigen__1) @ X1) => (~((admin @ X1))))))) => (![X1:$i]:(((rel @ eigen__1) @ X1) => (deletefile1 @ X1)))),introduced(definition,[new_symbols(definition,[sP16])])). % 13.14/13.32 thf(sP17,plain,sP17 <=> ((rel @ eigen__0) @ eigen__1),introduced(definition,[new_symbols(definition,[sP17])])). % 13.14/13.32 thf(sP18,plain,sP18 <=> (![X1:$i]:(((rel @ eigen__1) @ X1) => (deletefile1 @ X1))),introduced(definition,[new_symbols(definition,[sP18])])). % 13.14/13.32 thf(sP19,plain,sP19 <=> (![X1:$i]:((![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2))) => (deletefile1 @ X1))),introduced(definition,[new_symbols(definition,[sP19])])). % 13.14/13.32 thf(sP20,plain,sP20 <=> (bob @ eigen__1),introduced(definition,[new_symbols(definition,[sP20])])). % 13.14/13.32 thf(sP21,plain,sP21 <=> (sP5 => sP9),introduced(definition,[new_symbols(definition,[sP21])])). % 13.14/13.32 thf(sP22,plain,sP22 <=> (![X1:$i]:(((rel @ eigen__0) @ X1) => ((~((bob @ X1))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))),introduced(definition,[new_symbols(definition,[sP22])])). % 13.14/13.32 thf(sP23,plain,sP23 <=> (![X1:$i]:(((rel @ eigen__1) @ X1) => ((~((![X2:$i]:(((rel @ X1) @ X2) => ((bob @ X2) => (admin @ X2)))))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))),introduced(definition,[new_symbols(definition,[sP23])])). % 13.14/13.32 thf(sP24,plain,sP24 <=> (![X1:$i]:(![X2:$i]:(((rel @ X1) @ X2) => ((~((admin @ X2))) => (![X3:$i]:(((rel @ X2) @ X3) => ((~((![X4:$i]:(((rel @ X3) @ X4) => ((bob @ X4) => (admin @ X4)))))) => (![X4:$i]:(((rel @ X3) @ X4) => (deletefile1 @ X4)))))))))),introduced(definition,[new_symbols(definition,[sP24])])). % 13.14/13.32 thf(sP25,plain,sP25 <=> (sP17 => sP10),introduced(definition,[new_symbols(definition,[sP25])])). % 13.14/13.32 thf(sP26,plain,sP26 <=> (![X1:$i]:((![X2:$i]:(((rel @ X1) @ X2) => ((bob @ X2) => (admin @ X2)))) => ((bob @ X1) => (admin @ X1)))),introduced(definition,[new_symbols(definition,[sP26])])). % 13.14/13.32 thf(sP27,plain,sP27 <=> (![X1:$i]:(![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))),introduced(definition,[new_symbols(definition,[sP27])])). % 13.14/13.32 thf(sP28,plain,sP28 <=> (sP17 => sP6),introduced(definition,[new_symbols(definition,[sP28])])). % 13.14/13.32 thf(sP29,plain,sP29 <=> (![X1:$i]:(((rel @ eigen__1) @ X1) => (~((admin @ X1))))),introduced(definition,[new_symbols(definition,[sP29])])). % 13.14/13.32 thf(sP30,plain,sP30 <=> (![X1:$i]:(((rel @ eigen__0) @ X1) => ((~((![X2:$i]:(((rel @ X1) @ X2) => (~((admin @ X2))))))) => (![X2:$i]:(((rel @ X1) @ X2) => (deletefile1 @ X2)))))),introduced(definition,[new_symbols(definition,[sP30])])). % 13.14/13.32 thf(sP31,plain,sP31 <=> (sP17 => sP16),introduced(definition,[new_symbols(definition,[sP31])])). % 13.14/13.32 thf(sP32,plain,sP32 <=> (![X1:$i]:(![X2:$i]:(((rel @ X1) @ X2) => ((~((![X3:$i]:(((rel @ X2) @ X3) => (~((admin @ X3))))))) => (![X3:$i]:(((rel @ X2) @ X3) => (deletefile1 @ X3))))))),introduced(definition,[new_symbols(definition,[sP32])])). % 13.14/13.32 thf(sP33,plain,sP33 <=> (sP18 => sP6),introduced(definition,[new_symbols(definition,[sP33])])). % 13.14/13.32 thf(sP34,plain,sP34 <=> ((~(sP13)) => sP23),introduced(definition,[new_symbols(definition,[sP34])])). % 13.14/13.32 thf(def_mfalse,definition,(mfalse = (^[X1:$i]:$false))). % 13.14/13.32 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))). % 13.14/13.32 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))). % 13.14/13.32 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))). % 13.14/13.32 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 13.14/13.32 thf(def_mimpl,definition,(mimpl = (^[X1:$i>$o]:(mor @ (mnot @ X1))))). % 13.14/13.32 thf(def_miff,definition,(miff = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimpl @ X1) @ X2)) @ ((mimpl @ X2) @ X1)))))). % 13.14/13.32 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))). % 13.14/13.32 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(~((![X4:$i]:(((X1 @ X3) @ X4) => (~((X2 @ X4)))))))))))). % 13.14/13.32 thf(def_mall,definition,(mall = (^[X1:individuals>$i>$o]:(^[X2:$i]:(![X3:individuals]:((X1 @ X3) @ X2)))))). % 13.14/13.32 thf(def_mexists,definition,(mexists = (^[X1:individuals>$i>$o]:(^[X2:$i]:(~((![X3:individuals]:(~(((X1 @ X3) @ X2)))))))))). % 13.14/13.32 thf(def_mvalid,definition,(mvalid = (!!))). % 13.14/13.32 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))). % 13.14/13.32 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))). % 13.14/13.32 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))). % 13.14/13.32 thf(def_icl_atom,definition,(icl_atom = (mbox @ rel))). % 13.14/13.32 thf(def_icl_princ,definition,(icl_princ = (^[X1:$i>$o]:X1))). % 13.14/13.32 thf(def_icl_and,definition,(icl_and = mand)). % 13.14/13.32 thf(def_icl_or,definition,(icl_or = mor)). % 13.14/13.32 thf(def_icl_impl,definition,(icl_impl = (^[X1:$i>$o]:(^[X2:$i>$o]:((mbox @ rel) @ ((mimpl @ X1) @ X2)))))). % 13.14/13.32 thf(def_icl_true,definition,(icl_true = mtrue)). % 13.14/13.32 thf(def_icl_false,definition,(icl_false = mfalse)). % 13.14/13.32 thf(def_icl_says,definition,(icl_says = (^[X1:$i>$o]:(^[X2:$i>$o]:((mbox @ rel) @ ((mor @ X1) @ X2)))))). % 13.14/13.32 thf(def_iclval,definition,(iclval = mvalid)). % 13.14/13.32 thf(ex3,conjecture,sP27). % 13.14/13.32 thf(h1,negated_conjecture,(~(sP27)),inference(assume_negation,[status(cth)],[ex3])). % 13.14/13.32 thf(1,plain,(~(sP26) | sP21),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(2,plain,((~(sP21) | ~(sP5)) | sP9),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(3,plain,(~(sP12) | sP26),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(4,plain,((~(sP8) | sP5) | sP18),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(5,plain,((~(sP9) | ~(sP20)) | sP13),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(6,plain,(~(sP12) | sP4),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(7,plain,(~(sP4) | sP11),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(8,plain,((~(sP11) | ~(sP23)) | sP8),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(9,plain,(~(sP12) | sP7),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(10,plain,(~(sP7) | sP15),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(11,plain,((~(sP15) | ~(sP29)) | ~(sP13)),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(12,plain,(~(sP12) | sP19),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(13,plain,(~(sP19) | sP33),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(14,plain,((~(sP33) | ~(sP18)) | sP6),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(15,plain,(~(sP2) | sP22),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(16,plain,(~(sP22) | sP25),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(17,plain,((~(sP25) | ~(sP17)) | sP10),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(18,plain,((~(sP10) | sP20) | sP18),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(19,plain,(~(sP24) | sP1),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(20,plain,(~(sP1) | sP14),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(21,plain,((~(sP14) | ~(sP17)) | sP34),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(22,plain,((~(sP34) | sP13) | sP23),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(23,plain,(~(sP32) | sP30),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(24,plain,(~(sP30) | sP31),inference(all_rule,[status(thm)],[])). % 13.14/13.32 thf(25,plain,((~(sP31) | ~(sP17)) | sP16),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(26,plain,((~(sP16) | sP29) | sP18),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(27,plain,(sP28 | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(28,plain,(sP28 | sP17),inference(prop_rule,[status(thm)],[])). % 13.14/13.32 thf(29,plain,(sP3 | ~(sP28)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1])). % 13.14/13.32 thf(30,plain,(sP27 | ~(sP3)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__0])). % 13.14/13.32 thf(refl_axiom,axiom,(![X1:$i>$o]:(mvalid @ ((mimpl @ ((mbox @ rel) @ X1)) @ X1)))). % 13.14/13.32 thf(31,plain,sP12,inference(preprocess,[status(thm)],[refl_axiom]). % 13.14/13.32 thf(ax1,axiom,(iclval @ ((icl_says @ ((icl_impl @ (icl_princ @ admin)) @ icl_false)) @ (icl_atom @ deletefile1)))). % 13.14/13.32 thf(32,plain,sP32,inference(preprocess,[status(thm)],[ax1]). % 13.14/13.32 thf(ax2,axiom,(iclval @ ((icl_says @ (icl_princ @ admin)) @ ((icl_says @ ((icl_impl @ (icl_princ @ bob)) @ (icl_princ @ admin))) @ (icl_atom @ deletefile1))))). % 13.14/13.32 thf(33,plain,sP24,inference(preprocess,[status(thm)],[ax2]). % 13.14/13.32 thf(ax3,axiom,(iclval @ ((icl_says @ (icl_princ @ bob)) @ (icl_atom @ deletefile1)))). % 13.14/13.32 thf(34,plain,sP2,inference(preprocess,[status(thm)],[ax3]). % 13.14/13.32 thf(35,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,h1])). % 13.14/13.32 thf(36,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[35,h0])). % 13.14/13.32 thf(0,theorem,sP27,inference(contra,[status(thm),contra(discharge,[h1])],[35,h1])). % 13.14/13.32 % SZS output end Proof %------------------------------------------------------------------------------