%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : PUZ146^1 : TPTP v9.2.0. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n018.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 02:16:12 PM UTC 2025 % Result : Theorem 0.20s 0.37s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : PUZ146^1 : TPTP v9.2.0. Released v6.4.0. % 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n018.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 17:23:38 EDT 2025 % 0.13/0.35 % CPUTime : % 0.20/0.37 % SZS status Theorem % 0.20/0.37 % Mode: mode213 % 0.20/0.37 % Inferences: 17 % 0.20/0.37 % SZS output start Proof % 0.20/0.37 thf(ty_earthling, type, earthling : $tType). % 0.20/0.37 thf(ty_hobby, type, hobby : $tType). % 0.20/0.37 thf(ty_peter, type, peter : earthling). % 0.20/0.37 thf(ty_belly_dancing, type, belly_dancing : hobby). % 0.20/0.37 thf(ty_weight_lifting, type, weight_lifting : hobby). % 0.20/0.37 thf(ty_beer_drinking, type, beer_drinking : hobby). % 0.20/0.37 thf(ty_has_hobby, type, has_hobby : (earthling>hobby>$o)). % 0.20/0.37 thf(ty_mary, type, mary : earthling). % 0.20/0.37 thf(sP1,plain,sP1 <=> (((has_hobby @ peter) @ beer_drinking) = ((has_hobby @ mary) @ beer_drinking)),introduced(definition,[new_symbols(definition,[sP1])])). % 0.20/0.37 thf(sP2,plain,sP2 <=> (![X1:hobby]:(((has_hobby @ peter) @ X1) = ((has_hobby @ mary) @ X1))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.20/0.37 thf(sP3,plain,sP3 <=> ((has_hobby @ peter) @ beer_drinking),introduced(definition,[new_symbols(definition,[sP3])])). % 0.20/0.37 thf(sP4,plain,sP4 <=> ((has_hobby @ peter) = (has_hobby @ mary)),introduced(definition,[new_symbols(definition,[sP4])])). % 0.20/0.37 thf(sP5,plain,sP5 <=> ((has_hobby @ mary) @ beer_drinking),introduced(definition,[new_symbols(definition,[sP5])])). % 0.20/0.37 thf(def_peters_hobbies,definition,(peters_hobbies = (has_hobby @ peter))). % 0.20/0.37 thf(def_marys_hobbies,definition,(marys_hobbies = (has_hobby @ mary))). % 0.20/0.37 thf(peter_and_mary_have_different_hobbies,conjecture,(~(sP4))). % 0.20/0.37 thf(h0,negated_conjecture,sP4,inference(assume_negation,[status(cth)],[peter_and_mary_have_different_hobbies])). % 0.20/0.37 thf(h1,assumption,(~(((~((beer_drinking = belly_dancing))) => (belly_dancing = weight_lifting)))),introduced(assumption,[])). % 0.20/0.37 thf(h2,assumption,(~((beer_drinking = weight_lifting))),introduced(assumption,[])). % 0.20/0.37 thf(h3,assumption,(~((beer_drinking = belly_dancing))),introduced(assumption,[])). % 0.20/0.37 thf(h4,assumption,(~((belly_dancing = weight_lifting))),introduced(assumption,[])). % 0.20/0.37 thf(1,plain,((~(sP1) | ~(sP3)) | sP5),inference(prop_rule,[status(thm)],[])). % 0.20/0.37 thf(2,plain,(~(sP2) | sP1),inference(all_rule,[status(thm)],[])). % 0.20/0.37 thf(3,plain,(~(sP4) | sP2),inference(prop_rule,[status(thm)],[])). % 0.20/0.37 thf(mary_does_not_do_beer_drinking,axiom,(~((marys_hobbies @ beer_drinking)))). % 0.20/0.37 thf(4,plain,(~(sP5)),inference(preprocess,[status(thm)],[mary_does_not_do_beer_drinking]). % 0.20/0.37 thf(peter_does_beer_drinking,axiom,(peters_hobbies @ beer_drinking)). % 0.20/0.37 thf(5,plain,sP3,inference(preprocess,[status(thm)],[peter_does_beer_drinking]). % 0.20/0.37 thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h3,h4,h1,h2,h0])],[1,2,3,4,5,h0])). % 0.20/0.37 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,6,h3,h4])). % 0.20/0.37 thf(not_the_same_2,axiom,(~(((~(((~((beer_drinking = belly_dancing))) => (belly_dancing = weight_lifting)))) => (beer_drinking = weight_lifting))))). % 0.20/0.37 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[not_the_same_2,7,h1,h2])). % 0.20/0.37 thf(0,theorem,(~(sP4)),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])). % 0.20/0.37 % SZS output end Proof %------------------------------------------------------------------------------