%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : NLP267^2 : 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 : n015.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 02:04:44 PM UTC 2025 % Result : Theorem 0.12s 0.36s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NLP267^2 : 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 % 0.12/0.33 % Computer : n015.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 13:02:53 EDT 2025 % 0.12/0.33 % CPUTime : % 0.12/0.36 % SZS status Theorem % 0.12/0.36 % Mode: mode213 % 0.12/0.36 % Inferences: 23 % 0.12/0.36 % SZS output start Proof % 0.12/0.36 thf(ty_mworld, type, mworld : $tType). % 0.12/0.36 thf(ty_seventy, type, seventy : $i). % 0.12/0.36 thf(ty_paris, type, paris : $i). % 0.12/0.36 thf(ty_eigen__0, type, eigen__0 : mworld). % 0.12/0.36 thf(ty_class, type, class : ($i>mworld>$o)). % 0.12/0.36 thf(ty_mrel, type, mrel : (mworld>mworld>$o)). % 0.12/0.36 thf(ty_price, type, price : ($i>mworld>$o)). % 0.12/0.36 thf(ty_dest, type, dest : ($i>mworld>$o)). % 0.12/0.36 thf(ty_second, type, second : $i). % 0.12/0.36 thf(ty_mactual, type, mactual : mworld). % 0.12/0.36 thf(sP1,plain,sP1 <=> ((mrel @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])). % 0.12/0.36 thf(sP2,plain,sP2 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => ((~((((dest @ paris) @ X1) => (~(((class @ second) @ X1)))))) => ((price @ seventy) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.12/0.36 thf(sP3,plain,sP3 <=> (((dest @ paris) @ eigen__0) => (~(((class @ second) @ eigen__0)))),introduced(definition,[new_symbols(definition,[sP3])])). % 0.12/0.36 thf(sP4,plain,sP4 <=> ((class @ second) @ eigen__0),introduced(definition,[new_symbols(definition,[sP4])])). % 0.12/0.36 thf(sP5,plain,sP5 <=> (sP1 => ((dest @ paris) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP5])])). % 0.12/0.36 thf(sP6,plain,sP6 <=> (sP1 => ((~(sP3)) => ((price @ seventy) @ eigen__0))),introduced(definition,[new_symbols(definition,[sP6])])). % 0.12/0.36 thf(sP7,plain,sP7 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => ((class @ second) @ X1))),introduced(definition,[new_symbols(definition,[sP7])])). % 0.12/0.36 thf(sP8,plain,sP8 <=> ((~(sP3)) => ((price @ seventy) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP8])])). % 0.12/0.36 thf(sP9,plain,sP9 <=> ((price @ seventy) @ eigen__0),introduced(definition,[new_symbols(definition,[sP9])])). % 0.12/0.36 thf(sP10,plain,sP10 <=> ((dest @ paris) @ eigen__0),introduced(definition,[new_symbols(definition,[sP10])])). % 0.12/0.36 thf(sP11,plain,sP11 <=> (sP1 => sP4),introduced(definition,[new_symbols(definition,[sP11])])). % 0.12/0.36 thf(sP12,plain,sP12 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => ((dest @ paris) @ X1))),introduced(definition,[new_symbols(definition,[sP12])])). % 0.12/0.36 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))). % 0.12/0.36 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))). % 0.12/0.36 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 0.12/0.36 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))). % 0.12/0.36 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))). % 0.12/0.36 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))). % 0.12/0.36 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))). % 0.12/0.36 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))). % 0.12/0.36 thf(con,conjecture,(![X1:mworld]:(((mrel @ mactual) @ X1) => ((price @ seventy) @ X1)))). % 0.12/0.36 thf(h0,negated_conjecture,(~((![X1:mworld]:(((mrel @ mactual) @ X1) => ((price @ seventy) @ X1))))),inference(assume_negation,[status(cth)],[con])). % 0.12/0.36 thf(h1,assumption,(~((sP1 => sP9))),introduced(assumption,[])). % 0.12/0.36 thf(h2,assumption,sP1,introduced(assumption,[])). % 0.12/0.36 thf(h3,assumption,(~(sP9)),introduced(assumption,[])). % 0.12/0.36 thf(1,plain,(~(sP2) | sP6),inference(all_rule,[status(thm)],[])). % 0.12/0.36 thf(2,plain,((~(sP6) | ~(sP1)) | sP8),inference(prop_rule,[status(thm)],[])). % 0.12/0.36 thf(3,plain,((~(sP8) | sP3) | sP9),inference(prop_rule,[status(thm)],[])). % 0.12/0.36 thf(4,plain,((~(sP3) | ~(sP10)) | ~(sP4)),inference(prop_rule,[status(thm)],[])). % 0.12/0.36 thf(5,plain,(~(sP12) | sP5),inference(all_rule,[status(thm)],[])). % 0.12/0.36 thf(6,plain,((~(sP5) | ~(sP1)) | sP10),inference(prop_rule,[status(thm)],[])). % 0.12/0.36 thf(7,plain,(~(sP7) | sP11),inference(all_rule,[status(thm)],[])). % 0.12/0.36 thf(8,plain,((~(sP11) | ~(sP1)) | sP4),inference(prop_rule,[status(thm)],[])). % 0.12/0.36 thf(law2,axiom,(mlocal @ (mbox @ ((mimplies @ ((mand @ (dest @ paris)) @ (class @ second))) @ (price @ seventy))))). % 0.12/0.36 thf(9,plain,sP2,inference(preprocess,[status(thm)],[law2]). % 0.12/0.36 thf(belief1,axiom,(mlocal @ (mbox @ (dest @ paris)))). % 0.12/0.36 thf(10,plain,sP12,inference(preprocess,[status(thm)],[belief1]). % 0.12/0.36 thf(belief2,axiom,(mlocal @ (mbox @ (class @ second)))). % 0.12/0.36 thf(11,plain,sP7,inference(preprocess,[status(thm)],[belief2]). % 0.12/0.36 thf(12,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,h2,h3])). % 0.12/0.36 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,12,h2,h3])). % 0.12/0.36 thf(14,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,13,h1])). % 0.12/0.36 thf(0,theorem,(![X1:mworld]:(((mrel @ mactual) @ X1) => ((price @ seventy) @ X1))),inference(contra,[status(thm),contra(discharge,[h0])],[14,h0])). % 0.12/0.36 % SZS output end Proof %------------------------------------------------------------------------------