%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : DAT333^3 : TPTP v9.2.0. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n017.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 01:26:13 PM UTC 2025 % Result : Theorem 0.13s 0.37s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : DAT333^3 : TPTP v9.2.0. Released v8.1.0. % 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n017.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 17:43:08 EDT 2025 % 0.13/0.34 % CPUTime : % 0.13/0.37 % SZS status Theorem % 0.13/0.37 % Mode: mode213 % 0.13/0.37 % Inferences: 79 % 0.13/0.37 % SZS output start Proof % 0.13/0.37 thf(ty_mworld, type, mworld : $tType). % 0.13/0.37 thf(ty_john, type, john : $i). % 0.13/0.37 thf(ty_mrel, type, mrel : (mworld>mworld>$o)). % 0.13/0.37 thf(ty_math, type, math : $i). % 0.13/0.37 thf(ty_eigen__8, type, eigen__8 : mworld). % 0.13/0.37 thf(ty_mactual, type, mactual : mworld). % 0.13/0.37 thf(ty_psych, type, psych : $i). % 0.13/0.37 thf(ty_teach, type, teach : ($i>$i>mworld>$o)). % 0.13/0.37 thf(ty_cs, type, cs : $i). % 0.13/0.37 thf(ty_mary, type, mary : $i). % 0.13/0.37 thf(ty_sue, type, sue : $i). % 0.13/0.37 thf(h0, assumption, (![X1:mworld>$o]:(![X2:mworld]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])). % 0.13/0.37 thf(eigendef_eigen__8, definition, eigen__8 = (eps__0 @ (^[X1:mworld]:(~((((mrel @ mactual) @ X1) => (((teach @ john) @ math) @ X1)))))), introduced(definition,[new_symbols(definition,[eigen__8])])). % 0.13/0.37 thf(sP1,plain,sP1 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (~(((((teach @ john) @ math) @ X1) => ((~((![X2:$i]:(~((((teach @ X2) @ cs) @ X1)))))) => ((((teach @ mary) @ psych) @ X1) => (~((((teach @ sue) @ psych) @ X1)))))))))),introduced(definition,[new_symbols(definition,[sP1])])). % 0.13/0.37 thf(sP2,plain,sP2 <=> (((mrel @ mactual) @ eigen__8) => (((teach @ john) @ math) @ eigen__8)),introduced(definition,[new_symbols(definition,[sP2])])). % 0.13/0.37 thf(sP3,plain,sP3 <=> ((mrel @ mactual) @ eigen__8),introduced(definition,[new_symbols(definition,[sP3])])). % 0.13/0.37 thf(sP4,plain,sP4 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (((teach @ john) @ math) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])). % 0.13/0.37 thf(sP5,plain,sP5 <=> ((((teach @ john) @ math) @ eigen__8) => ((~((![X1:$i]:(~((((teach @ X1) @ cs) @ eigen__8)))))) => ((((teach @ mary) @ psych) @ eigen__8) => (~((((teach @ sue) @ psych) @ eigen__8)))))),introduced(definition,[new_symbols(definition,[sP5])])). % 0.13/0.37 thf(sP6,plain,sP6 <=> (((teach @ john) @ math) @ eigen__8),introduced(definition,[new_symbols(definition,[sP6])])). % 0.13/0.37 thf(sP7,plain,sP7 <=> (sP3 => (~(sP5))),introduced(definition,[new_symbols(definition,[sP7])])). % 0.13/0.37 thf(sP8,plain,sP8 <=> (![X1:$i]:(~((![X2:mworld]:(((mrel @ mactual) @ X2) => (((teach @ john) @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP8])])). % 0.13/0.37 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))). % 0.13/0.37 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))). % 0.13/0.37 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 0.13/0.37 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))). % 0.13/0.37 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))). % 0.13/0.37 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))). % 0.13/0.37 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))). % 0.13/0.37 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))). % 0.13/0.37 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:((X1 @ X3) @ X2)))))). % 0.13/0.37 thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(~(((X1 @ X3) @ X2)))))))))). % 0.13/0.37 thf(query,conjecture,(~(sP8))). % 0.13/0.37 thf(h1,negated_conjecture,sP8,inference(assume_negation,[status(cth)],[query])). % 0.13/0.37 thf(1,plain,(sP5 | sP6),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(2,plain,(~(sP1) | sP7),inference(all_rule,[status(thm)],[])). % 0.13/0.37 thf(3,plain,((~(sP7) | ~(sP3)) | ~(sP5)),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(4,plain,(sP2 | ~(sP6)),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(5,plain,(sP2 | sP3),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(6,plain,(sP4 | ~(sP2)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__8])). % 0.13/0.37 thf(7,plain,(~(sP8) | ~(sP4)),inference(all_rule,[status(thm)],[])). % 0.13/0.37 thf(db,axiom,(mlocal @ (mbox @ ((mand @ ((teach @ john) @ math)) @ ((mand @ (mexists_di @ (^[X1:$i]:((teach @ X1) @ cs)))) @ ((mand @ ((teach @ mary) @ psych)) @ ((teach @ sue) @ psych))))))). % 0.13/0.37 thf(8,plain,sP1,inference(preprocess,[status(thm)],[db]). % 0.13/0.37 thf(9,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,h1])). % 0.13/0.37 thf(10,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[9,h0])). % 0.13/0.37 thf(0,theorem,(~(sP8)),inference(contra,[status(thm),contra(discharge,[h1])],[9,h1])). % 0.13/0.37 % SZS output end Proof %------------------------------------------------------------------------------