%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO356^5 : 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 : n023.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 0.21s 0.38s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.14 % Problem : SYO356^5 : TPTP v9.2.0. Released v4.0.0. % 0.03/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.14/0.36 % Computer : n023.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 : Thu Oct 9 01:12:38 EDT 2025 % 0.14/0.36 % CPUTime : % 0.21/0.38 % SZS status Theorem % 0.21/0.38 % Mode: mode213 % 0.21/0.38 % Inferences: 4 % 0.21/0.38 % SZS output start Proof % 0.21/0.38 thf(ty_a, type, a : $tType). % 0.21/0.38 thf(ty_v, type, v : a). % 0.21/0.38 thf(ty_eigen__0, type, eigen__0 : (a>$o)). % 0.21/0.38 thf(ty_u, type, u : a). % 0.21/0.38 thf(sP1,plain,sP1 <=> (eigen__0 @ u),introduced(definition,[new_symbols(definition,[sP1])])). % 0.21/0.38 thf(sP2,plain,sP2 <=> (u = v),introduced(definition,[new_symbols(definition,[sP2])])). % 0.21/0.38 thf(sP3,plain,sP3 <=> (eigen__0 @ v),introduced(definition,[new_symbols(definition,[sP3])])). % 0.21/0.38 thf(cE1LEIBEQ2_pme,conjecture,((![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))) => (![X1:a>$o]:((X1 @ u) => (X1 @ v))))). % 0.21/0.38 thf(h0,negated_conjecture,(~(((![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))) => (![X1:a>$o]:((X1 @ u) => (X1 @ v)))))),inference(assume_negation,[status(cth)],[cE1LEIBEQ2_pme])). % 0.21/0.38 thf(h1,assumption,(![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))),introduced(assumption,[])). % 0.21/0.38 thf(h2,assumption,(~((![X1:a>$o]:((X1 @ u) => (X1 @ v))))),introduced(assumption,[])). % 0.21/0.38 thf(h3,assumption,(~((sP1 => sP3))),introduced(assumption,[])). % 0.21/0.38 thf(h4,assumption,sP1,introduced(assumption,[])). % 0.21/0.38 thf(h5,assumption,(~(sP3)),introduced(assumption,[])). % 0.21/0.38 thf(1,plain,((~(sP1) | sP3) | ~(sP2)),inference(mating_rule,[status(thm)],[])). % 0.21/0.38 thf(2,plain,sP2,inference(normalize,[status(thm)],[h1]). % 0.21/0.38 thf(3,plain,$false,inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[1,2,h4,h5])). % 0.21/0.38 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,3,h4,h5])). % 0.21/0.38 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,4,h3])). % 0.21/0.38 thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,5,h1,h2])). % 0.21/0.38 thf(0,theorem,((![X1:a>a>$o]:((![X2:a]:((X1 @ X2) @ X2)) => ((X1 @ u) @ v))) => (![X1:a>$o]:((X1 @ u) => (X1 @ v)))),inference(contra,[status(thm),contra(discharge,[h0])],[6,h0])). % 0.21/0.38 % SZS output end Proof %------------------------------------------------------------------------------