%------------------------------------------------------------------------------ % File : Lash---1.13 % Problem : NLP267^17 : TPTP v9.2.0. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : lash -P picomus -M modes -p tstp -t %d %s % Computer : n001.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 02:04:06 PM UTC 2025 % Result : Theorem 0.19s 0.42s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NLP267^17 : TPTP v9.2.0. Released v8.1.0. % 0.07/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n001.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 13:06:23 EDT 2025 % 0.13/0.34 % CPUTime : % 0.19/0.42 % SZS status Theorem % 0.19/0.42 % Mode: cade22grackle2xfee4 % 0.19/0.42 % Steps: 113 % 0.19/0.42 % SZS output start Proof % 0.19/0.42 thf(ty_mindex, type, mindex : $tType). % 0.19/0.42 thf(ty_mworld, type, mworld : $tType). % 0.19/0.42 thf(ty_price, type, price : ($i>mworld>$o)). % 0.19/0.42 thf(ty_'#b_s', type, '#b_s' : mindex). % 0.19/0.42 thf(ty_class, type, class : ($i>mworld>$o)). % 0.19/0.42 thf(ty_mactual, type, mactual : mworld). % 0.19/0.42 thf(ty_second, type, second : $i). % 0.19/0.42 thf(ty_dest, type, dest : ($i>mworld>$o)). % 0.19/0.42 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)). % 0.19/0.42 thf(ty_eigen__0, type, eigen__0 : mworld). % 0.19/0.42 thf(ty_seventy, type, seventy : $i). % 0.19/0.42 thf(ty_paris, type, paris : $i). % 0.19/0.42 thf(sP1,plain,sP1 <=> (((dest @ paris) @ eigen__0) => (~(((class @ second) @ eigen__0)))),introduced(definition,[new_symbols(definition,[sP1])])). % 0.19/0.42 thf(sP2,plain,sP2 <=> (![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((~((((dest @ paris) @ X1) => (~(((class @ second) @ X1)))))) => ((price @ seventy) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.19/0.42 thf(sP3,plain,sP3 <=> ((((mrel @ '#b_s') @ mactual) @ eigen__0) => (~(sP1))),introduced(definition,[new_symbols(definition,[sP3])])). % 0.19/0.42 thf(sP4,plain,sP4 <=> (((mrel @ '#b_s') @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP4])])). % 0.19/0.42 thf(sP5,plain,sP5 <=> (![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => (~((((dest @ paris) @ X1) => (~(((class @ second) @ X1)))))))),introduced(definition,[new_symbols(definition,[sP5])])). % 0.19/0.42 thf(sP6,plain,sP6 <=> ((~(sP1)) => ((price @ seventy) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP6])])). % 0.19/0.42 thf(sP7,plain,sP7 <=> ((price @ seventy) @ eigen__0),introduced(definition,[new_symbols(definition,[sP7])])). % 0.19/0.42 thf(sP8,plain,sP8 <=> (sP4 => sP6),introduced(definition,[new_symbols(definition,[sP8])])). % 0.19/0.42 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))). % 0.19/0.42 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:((~) @ (X1 @ X2)))))). % 0.19/0.42 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) & (X2 @ X3))))))). % 0.19/0.42 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) | (X2 @ X3))))))). % 0.19/0.42 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(((^[X4:$o]:(^[X5:$o]:(X4 => X5))) @ (X1 @ X3)) @ (X2 @ X3))))))). % 0.19/0.42 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) <=> (X2 @ X3))))))). % 0.19/0.42 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:(((^[X5:$o]:(^[X6:$o]:(X5 => X6))) @ (((mrel @ X1) @ X3) @ X4)) @ (X2 @ X4)))))))). % 0.19/0.42 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(?[X4:mworld]:((((mrel @ X1) @ X3) @ X4) & (X2 @ X4)))))))). % 0.19/0.42 thf(con,conjecture,(![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1)))). % 0.19/0.42 thf(h0,negated_conjecture,(~((![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1))))),inference(assume_negation,[status(cth)],[con])). % 0.19/0.42 thf(h1,assumption,(~((sP4 => sP7))),introduced(assumption,[])). % 0.19/0.42 thf(h2,assumption,sP4,introduced(assumption,[])). % 0.19/0.42 thf(h3,assumption,(~(sP7)),introduced(assumption,[])). % 0.19/0.42 thf(1,plain,((~(sP6) | sP1) | sP7),inference(prop_rule,[status(thm)],[])). % 0.19/0.42 thf(2,plain,((~(sP8) | ~(sP4)) | sP6),inference(prop_rule,[status(thm)],[])). % 0.19/0.42 thf(3,plain,((~(sP3) | ~(sP4)) | ~(sP1)),inference(prop_rule,[status(thm)],[])). % 0.19/0.42 thf(4,plain,(~(sP2) | sP8),inference(all_rule,[status(thm)],[])). % 0.19/0.42 thf(5,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])). % 0.19/0.42 thf(axiom_5,axiom,sP5). % 0.19/0.42 thf(axiom_2,axiom,sP2). % 0.19/0.42 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h3,h1,h0])],[1,2,3,4,5,h2,h3,axiom_5,axiom_2])). % 0.19/0.42 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,6,h2,h3])). % 0.19/0.42 thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,7,h1])). % 0.19/0.42 thf(0,theorem,(![X1:mworld]:((((mrel @ '#b_s') @ mactual) @ X1) => ((price @ seventy) @ X1))),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])). % 0.19/0.42 % SZS output end Proof %------------------------------------------------------------------------------