%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : DAT334^21 : 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 : n027.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 01:26:14 PM UTC 2025 % Result : Theorem 0.14s 0.37s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : DAT334^21 : 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 % 0.14/0.35 % Computer : n027.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Wed Oct 8 17:37:53 EDT 2025 % 0.14/0.35 % CPUTime : % 0.14/0.37 % SZS status Theorem % 0.14/0.37 % Mode: mode213 % 0.14/0.37 % Inferences: 12 % 0.14/0.37 % SZS output start Proof % 0.14/0.37 thf(ty_mworld, type, mworld : $tType). % 0.14/0.37 thf(ty_eiw_di, type, eiw_di : ($i>mworld>$o)). % 0.14/0.37 thf(ty_eigen__0, type, eigen__0 : mworld). % 0.14/0.37 thf(ty_john, type, john : $i). % 0.14/0.37 thf(ty_mrel, type, mrel : (mworld>mworld>$o)). % 0.14/0.37 thf(ty_math, type, math : $i). % 0.14/0.37 thf(ty_mactual, type, mactual : mworld). % 0.14/0.37 thf(ty_psych, type, psych : $i). % 0.14/0.37 thf(ty_teach, type, teach : ($i>$i>mworld>$o)). % 0.14/0.37 thf(ty_cs, type, cs : $i). % 0.14/0.37 thf(ty_mary, type, mary : $i). % 0.14/0.37 thf(ty_sue, type, sue : $i). % 0.14/0.37 thf(sP1,plain,sP1 <=> ((mrel @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])). % 0.14/0.37 thf(sP2,plain,sP2 <=> ((((teach @ john) @ math) @ eigen__0) => ((~((![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))))) => ((((teach @ mary) @ psych) @ eigen__0) => (~((((teach @ sue) @ psych) @ eigen__0)))))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.14/0.37 thf(sP3,plain,sP3 <=> ((~((![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))))) => ((((teach @ mary) @ psych) @ eigen__0) => (~((((teach @ sue) @ psych) @ eigen__0))))),introduced(definition,[new_symbols(definition,[sP3])])). % 0.14/0.37 thf(sP4,plain,sP4 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (~(((((teach @ john) @ math) @ X1) => ((~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))) => ((((teach @ mary) @ psych) @ X1) => (~((((teach @ sue) @ psych) @ X1)))))))))),introduced(definition,[new_symbols(definition,[sP4])])). % 0.14/0.37 thf(sP5,plain,sP5 <=> (![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (~((((teach @ X1) @ cs) @ eigen__0))))),introduced(definition,[new_symbols(definition,[sP5])])). % 0.14/0.37 thf(sP6,plain,sP6 <=> (sP1 => (~(sP2))),introduced(definition,[new_symbols(definition,[sP6])])). % 0.14/0.37 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))). % 0.14/0.37 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))). % 0.14/0.37 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 0.14/0.37 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))). % 0.14/0.37 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))). % 0.14/0.37 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))). % 0.14/0.37 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))). % 0.14/0.37 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))). % 0.14/0.37 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:(((eiw_di @ X3) @ X2) => ((X1 @ X3) @ X2))))))). % 0.14/0.37 thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(((eiw_di @ X3) @ X2) => (~(((X1 @ X3) @ X2))))))))))). % 0.14/0.37 thf(query,conjecture,(![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1)))))))))). % 0.14/0.37 thf(h0,negated_conjecture,(~((![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))))))),inference(assume_negation,[status(cth)],[query])). % 0.14/0.37 thf(h1,assumption,(~((sP1 => (~(sP5))))),introduced(assumption,[])). % 0.14/0.37 thf(h2,assumption,sP1,introduced(assumption,[])). % 0.14/0.37 thf(h3,assumption,sP5,introduced(assumption,[])). % 0.14/0.37 thf(1,plain,(sP3 | ~(sP5)),inference(prop_rule,[status(thm)],[])). % 0.14/0.37 thf(2,plain,(sP2 | ~(sP3)),inference(prop_rule,[status(thm)],[])). % 0.14/0.37 thf(3,plain,(~(sP4) | sP6),inference(all_rule,[status(thm)],[])). % 0.14/0.37 thf(4,plain,((~(sP6) | ~(sP1)) | ~(sP2)),inference(prop_rule,[status(thm)],[])). % 0.14/0.37 thf(db,axiom,(mlocal @ (mbox @ ((mand @ ((teach @ john) @ math)) @ ((mand @ (mexists_di @ (^[X1:$i]:((teach @ X1) @ cs)))) @ ((mand @ ((teach @ mary) @ psych)) @ ((teach @ sue) @ psych))))))). % 0.14/0.37 thf(5,plain,sP4,inference(preprocess,[status(thm)],[db]). % 0.14/0.37 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,h2,h3])). % 0.14/0.37 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,6,h2,h3])). % 0.14/0.37 thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,7,h1])). % 0.14/0.37 thf(0,theorem,(![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:$i]:(((eiw_di @ X2) @ X1) => (~((((teach @ X2) @ cs) @ X1))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])). % 0.14/0.37 % SZS output end Proof %------------------------------------------------------------------------------