%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO354^5 : 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 : n025.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 03:25:24 PM UTC 2025 % Result : Theorem 0.12s 0.37s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYO354^5 : 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 % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 9 00:40:23 EDT 2025 % 0.12/0.34 % CPUTime : % 0.12/0.37 % SZS status Theorem % 0.12/0.37 % Mode: mode213 % 0.12/0.37 % Inferences: 8 % 0.12/0.37 % SZS output start Proof % 0.12/0.37 thf(ty_n, type, n : ($i>$i)). % 0.12/0.37 thf(ty_eigen__0, type, eigen__0 : (($i>$i)>$o)). % 0.12/0.37 thf(ty_m, type, m : ($i>$i)). % 0.12/0.37 thf(sP1,plain,sP1 <=> (eigen__0 @ m),introduced(definition,[new_symbols(definition,[sP1])])). % 0.12/0.37 thf(sP2,plain,sP2 <=> (![X1:$i]:((m @ X1) = (n @ X1))),introduced(definition,[new_symbols(definition,[sP2])])). % 0.12/0.37 thf(sP3,plain,sP3 <=> (eigen__0 @ n),introduced(definition,[new_symbols(definition,[sP3])])). % 0.12/0.37 thf(sP4,plain,sP4 <=> (m = n),introduced(definition,[new_symbols(definition,[sP4])])). % 0.12/0.37 thf(cE4EXT,conjecture,((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n))))). % 0.12/0.37 thf(h0,negated_conjecture,(~(((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n)))))),inference(assume_negation,[status(cth)],[cE4EXT])). % 0.12/0.37 thf(h1,assumption,(![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))),introduced(assumption,[])). % 0.12/0.37 thf(h2,assumption,(~((![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n))))),introduced(assumption,[])). % 0.12/0.37 thf(h3,assumption,(~((sP1 => sP3))),introduced(assumption,[])). % 0.12/0.37 thf(h4,assumption,sP1,introduced(assumption,[])). % 0.12/0.37 thf(h5,assumption,(~(sP3)),introduced(assumption,[])). % 0.12/0.37 thf(1,plain,(sP4 | ~(sP2)),inference(prop_rule,[status(thm)],[])). % 0.12/0.37 thf(2,plain,((~(sP1) | sP3) | ~(sP4)),inference(mating_rule,[status(thm)],[])). % 0.12/0.37 thf(3,plain,sP2,inference(normalize,[status(thm)],[h1]). % 0.12/0.37 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[1,2,3,h4,h5])). % 0.12/0.37 thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,4,h4,h5])). % 0.12/0.37 thf(6,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,5,h3])). % 0.12/0.37 thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,6,h1,h2])). % 0.12/0.37 thf(0,theorem,((![X1:$i]:(![X2:$i>$o]:((X2 @ (m @ X1)) => (X2 @ (n @ X1))))) => (![X1:($i>$i)>$o]:((X1 @ m) => (X1 @ n)))),inference(contra,[status(thm),contra(discharge,[h0])],[7,h0])). % 0.12/0.37 % SZS output end Proof %------------------------------------------------------------------------------