%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : PUZ149^13 : 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 02:16:12 PM UTC 2025 % Result : Theorem 1.12s 1.39s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : PUZ149^13 : TPTP v9.2.0. Released v8.1.0. % 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.14/0.36 % Computer : n027.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Wed Oct 8 17:24:53 EDT 2025 % 0.14/0.36 % CPUTime : % 1.12/1.39 % SZS status Theorem % 1.12/1.39 % Mode: mode506 % 1.12/1.39 % Inferences: 39919 % 1.12/1.39 % SZS output start Proof % 1.12/1.39 thf(ty_mindex, type, mindex : $tType). % 1.12/1.39 thf(ty_mworld, type, mworld : $tType). % 1.12/1.39 thf(ty_eigen__2, type, eigen__2 : mworld). % 1.12/1.39 thf(ty_'#make_c', type, '#make_c' : mindex). % 1.12/1.39 thf(ty_mrel, type, mrel : (mindex>mworld>mworld>$o)). % 1.12/1.39 thf(ty_'#pour_a', type, '#pour_a' : mindex). % 1.12/1.39 thf(ty_'#pour_b', type, '#pour_b' : mindex). % 1.12/1.39 thf(ty_acid, type, acid : (mworld>$o)). % 1.12/1.39 thf(ty_mactual, type, mactual : mworld). % 1.12/1.39 thf(h0, assumption, (![X1:mworld>$o]:(![X2:mworld]:((X1 @ X2) => (X1 @ (eps__0 @ X1))))),introduced(assumption,[])). % 1.12/1.39 thf(eigendef_eigen__2, definition, eigen__2 = (eps__0 @ (^[X1:mworld]:(~(((((mrel @ '#pour_a') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2)))))))))), introduced(definition,[new_symbols(definition,[eigen__2])])). % 1.12/1.39 thf(sP1,plain,sP1 <=> (![X1:mworld]:((((mrel @ '#make_c') @ mactual) @ X1) => (~((acid @ X1))))),introduced(definition,[new_symbols(definition,[sP1])])). % 1.12/1.39 thf(sP2,plain,sP2 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => (acid @ eigen__2)),introduced(definition,[new_symbols(definition,[sP2])])). % 1.12/1.39 thf(sP3,plain,sP3 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => (![X1:mworld]:((((mrel @ '#pour_b') @ eigen__2) @ X1) => (~((acid @ X1)))))),introduced(definition,[new_symbols(definition,[sP3])])). % 1.12/1.39 thf(sP4,plain,sP4 <=> (acid @ eigen__2),introduced(definition,[new_symbols(definition,[sP4])])). % 1.12/1.39 thf(sP5,plain,sP5 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((acid @ X1))))),introduced(definition,[new_symbols(definition,[sP5])])). % 1.12/1.39 thf(sP6,plain,sP6 <=> ((((mrel @ '#pour_a') @ mactual) @ eigen__2) => (~(sP4))),introduced(definition,[new_symbols(definition,[sP6])])). % 1.12/1.39 thf(sP7,plain,sP7 <=> (((mrel @ '#pour_a') @ mactual) @ eigen__2),introduced(definition,[new_symbols(definition,[sP7])])). % 1.12/1.39 thf(sP8,plain,sP8 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2))))))),introduced(definition,[new_symbols(definition,[sP8])])). % 1.12/1.39 thf(sP9,plain,sP9 <=> (sP8 => sP1),introduced(definition,[new_symbols(definition,[sP9])])). % 1.12/1.39 thf(sP10,plain,sP10 <=> ((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (acid @ X1))))) => sP8),introduced(definition,[new_symbols(definition,[sP10])])). % 1.12/1.39 thf(sP11,plain,sP11 <=> (![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (acid @ X1))),introduced(definition,[new_symbols(definition,[sP11])])). % 1.12/1.39 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))). % 1.12/1.39 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))). % 1.12/1.39 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))). % 1.12/1.39 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))). % 1.12/1.39 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))). % 1.12/1.39 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))). % 1.12/1.39 thf(def_mbox,definition,(mbox = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (X2 @ X4)))))))). % 1.12/1.39 thf(def_mdia,definition,(mdia = (^[X1:mindex]:(^[X2:mworld>$o]:(^[X3:mworld]:(~((![X4:mworld]:((((mrel @ X1) @ X3) @ X4) => (~((X2 @ X4)))))))))))). % 1.12/1.39 thf(conj,conjecture,(~(((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((~((acid @ X1))))))))) => (~((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((~((![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2))))))))))))))))))). % 1.12/1.39 thf(h1,negated_conjecture,sP10,inference(assume_negation,[status(cth)],[conj])). % 1.12/1.39 thf(1,plain,(~(sP5) | sP6),inference(all_rule,[status(thm)],[])). % 1.12/1.39 thf(2,plain,((~(sP6) | ~(sP7)) | ~(sP4)),inference(prop_rule,[status(thm)],[])). % 1.12/1.39 thf(3,plain,(~(sP11) | sP2),inference(all_rule,[status(thm)],[])). % 1.12/1.39 thf(4,plain,((~(sP2) | ~(sP7)) | sP4),inference(prop_rule,[status(thm)],[])). % 1.12/1.39 thf(5,plain,(sP3 | sP7),inference(prop_rule,[status(thm)],[])). % 1.12/1.39 thf(6,plain,(sP8 | ~(sP3)),inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2])). % 1.12/1.39 thf(7,plain,((~(sP9) | ~(sP8)) | sP1),inference(prop_rule,[status(thm)],[])). % 1.12/1.39 thf(8,plain,((~(sP10) | sP11) | sP8),inference(prop_rule,[status(thm)],[])). % 1.12/1.39 thf(make_c_acid,axiom,(mlocal @ ((mdia @ '#make_c') @ acid))). % 1.12/1.39 thf(9,plain,(~(sP1)),inference(preprocess,[status(thm)],[make_c_acid]). % 1.12/1.39 thf(pour_a_acid,axiom,(mlocal @ ((mbox @ '#pour_a') @ (mnot @ acid)))). % 1.12/1.39 thf(10,plain,sP5,inference(preprocess,[status(thm)],[pour_a_acid]). % 1.12/1.39 thf(pour_ab_make_axiom_2,axiom,(mlocal @ ((mimplies @ ((mbox @ '#pour_a') @ ((mbox @ '#pour_b') @ (mnot @ acid)))) @ ((mbox @ '#make_c') @ (mnot @ acid))))). % 1.12/1.39 thf(11,plain,sP9,inference(preprocess,[status(thm)],[pour_ab_make_axiom_2]). % 1.12/1.39 thf(12,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,h1])). % 1.12/1.39 thf(13,plain,$false,inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[12,h0])). % 1.12/1.39 thf(0,theorem,(~(((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((~((acid @ X1))))))))) => (~((~((![X1:mworld]:((((mrel @ '#pour_a') @ mactual) @ X1) => (~((~((![X2:mworld]:((((mrel @ '#pour_b') @ X1) @ X2) => (~((acid @ X2)))))))))))))))))),inference(contra,[status(thm),contra(discharge,[h1])],[12,h1])). % 1.12/1.39 % SZS output end Proof %------------------------------------------------------------------------------