%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : AGT028^1 : TPTP v9.2.0. Released v5.2.0. % 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 01:08:58 PM UTC 2025 % Result : Theorem 3.97s 4.30s % Output : Proof 3.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : AGT028^1 : TPTP v9.2.0. Released v5.2.0. % 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.35 % Computer : n015.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Oct 8 12:28:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.97/4.30 % SZS status Theorem % 3.97/4.30 % Mode: mode8a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=3.:SINE_DEPTH=0 % 3.97/4.30 % Inferences: 3197 % 3.97/4.30 % SZS output start Proof % 3.97/4.30 thf(ty_mu, type, mu : $tType). % 3.97/4.30 thf(ty_r4, type, r4 : ($i>$i>$o)). % 3.97/4.30 thf(ty_eigen__0, type, eigen__0 : $i). % 3.97/4.30 thf(ty_john, type, john : mu). % 3.97/4.30 thf(ty_good_in_maths, type, good_in_maths : (mu>$i>$o)). % 3.97/4.30 thf(ty_maths_teacher, type, maths_teacher : (mu>$i>$o)). % 3.97/4.30 thf(sP1,plain,sP1 <=> ((maths_teacher @ john) @ eigen__0),introduced(definition,[new_symbols(definition,[sP1])])). % 3.97/4.30 thf(sP2,plain,sP2 <=> (sP1 => (![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1)))),introduced(definition,[new_symbols(definition,[sP2])])). % 3.97/4.30 thf(sP3,plain,sP3 <=> (![X1:mu]:(~((![X2:$i]:(((r4 @ eigen__0) @ X2) => ((good_in_maths @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP3])])). % 3.97/4.30 thf(sP4,plain,sP4 <=> (![X1:mu]:(((maths_teacher @ X1) @ eigen__0) => (![X2:$i]:(((r4 @ eigen__0) @ X2) => ((good_in_maths @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP4])])). % 3.97/4.30 thf(sP5,plain,sP5 <=> (![X1:$i]:(![X2:mu]:(((maths_teacher @ X2) @ X1) => (![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP5])])). % 3.97/4.30 thf(sP6,plain,sP6 <=> (![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))),introduced(definition,[new_symbols(definition,[sP6])])). % 3.97/4.30 thf(sP7,plain,sP7 <=> ((!!) @ (maths_teacher @ john)),introduced(definition,[new_symbols(definition,[sP7])])). % 3.97/4.30 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))). % 3.97/4.30 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))). % 3.97/4.30 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))). % 3.97/4.30 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))). % 3.97/4.30 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))). % 3.97/4.30 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))). % 3.97/4.30 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))). % 3.97/4.30 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))). % 3.97/4.30 thf(def_mvalid,definition,(mvalid = (!!))). % 3.97/4.30 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3)))))))))). % 3.97/4.30 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3))))))))))),inference(assume_negation,[status(cth)],[conj])). % 3.97/4.30 thf(h1,assumption,sP3,introduced(assumption,[])). % 3.97/4.30 thf(1,plain,((~(sP2) | ~(sP1)) | sP6),inference(prop_rule,[status(thm)],[])). % 3.97/4.30 thf(2,plain,(~(sP4) | sP2),inference(all_rule,[status(thm)],[])). % 3.97/4.30 thf(3,plain,(~(sP3) | ~(sP6)),inference(all_rule,[status(thm)],[])). % 3.97/4.30 thf(4,plain,(~(sP7) | sP1),inference(all_rule,[status(thm)],[])). % 3.97/4.30 thf(5,plain,(~(sP5) | sP4),inference(all_rule,[status(thm)],[])). % 3.97/4.30 thf(axiom_a6,axiom,(mvalid @ (maths_teacher @ john))). % 3.97/4.30 thf(6,plain,sP7,inference(preprocess,[status(thm)],[axiom_a6]). % 3.97/4.30 thf(axiom_r1,axiom,(mvalid @ (mforall_ind @ (^[X1:mu]:((mimplies @ (maths_teacher @ X1)) @ ((mbox @ r4) @ (good_in_maths @ X1))))))). % 3.97/4.30 thf(7,plain,sP5,inference(preprocess,[status(thm)],[axiom_r1]). % 3.97/4.30 thf(8,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,h1,6,7])). % 3.97/4.30 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,8,h1])). % 3.97/4.30 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[9,h0])). % 3.97/4.30 % SZS output end Proof %------------------------------------------------------------------------------