%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO253^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % Computer : n006.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 03:25:13 PM UTC 2025 % Result : Theorem 0.13s 0.37s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO253^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n006.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 : Thu Oct 9 01:33:53 EDT 2025 % 0.13/0.34 % CPUTime : % 0.13/0.37 % SZS status Theorem % 0.13/0.37 % Mode: mode213 % 0.13/0.37 % Inferences: 11 % 0.13/0.37 % SZS output start Proof % 0.13/0.37 thf(ty_p, type, p : $o). % 0.13/0.37 thf(sP1,plain,sP1 <=> p,introduced(definition,[new_symbols(definition,[sP1])])). % 0.13/0.37 thf(sP2,plain,sP2 <=> ((~(sP1)) => (~(sP1))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.13/0.37 thf(sP3,plain,sP3 <=> ((~((sP1 => sP1))) = sP2),introduced(definition,[new_symbols(definition,[sP3])])). % 0.13/0.37 thf(sP4,plain,sP4 <=> (sP1 => sP1),introduced(definition,[new_symbols(definition,[sP4])])). % 0.13/0.37 thf(cTHM124,conjecture,(~((![X1:$o>$o]:((X1 @ (~(sP4))) => (X1 @ sP2)))))). % 0.13/0.37 thf(h0,negated_conjecture,(![X1:$o>$o]:((X1 @ (~(sP4))) => (X1 @ sP2))),inference(assume_negation,[status(cth)],[cTHM124])). % 0.13/0.37 thf(1,plain,(sP2 | sP1),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(2,plain,(sP2 | ~(sP1)),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(3,plain,(sP4 | ~(sP1)),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(4,plain,(sP4 | sP1),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(5,plain,((~(sP3) | ~(sP4)) | ~(sP2)),inference(prop_rule,[status(thm)],[])). % 0.13/0.37 thf(6,plain,sP3,inference(normalize,[status(thm)],[h0]). % 0.13/0.37 thf(7,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6])). % 0.13/0.37 thf(0,theorem,(~((![X1:$o>$o]:((X1 @ (~(sP4))) => (X1 @ sP2))))),inference(contra,[status(thm),contra(discharge,[h0])],[7,h0])). % 0.13/0.37 % SZS output end Proof %------------------------------------------------------------------------------