%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO304^5 : 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 : n022.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 03:25:19 PM UTC 2025 % Result : Theorem 0.13s 0.36s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYO304^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n022.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 00:21:38 EDT 2025 % 0.13/0.34 % CPUTime : % 0.13/0.36 % SZS status Theorem % 0.13/0.36 % Mode: mode213 % 0.13/0.36 % Inferences: 0 % 0.13/0.36 % SZS output start Proof % 0.13/0.36 thf(ty_a, type, a : $tType). % 0.13/0.36 thf(ty_eigen__0, type, eigen__0 : ((a>a>$o)>$o)). % 0.13/0.36 thf(sP1,plain,sP1 <=> (eigen__0 @ (=)),introduced(definition,[new_symbols(definition,[sP1])])). % 0.13/0.36 thf(cE2_eq__pme,conjecture,(![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=))))). % 0.13/0.36 thf(h0,negated_conjecture,(~((![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=)))))),inference(assume_negation,[status(cth)],[cE2_eq__pme])). % 0.13/0.36 thf(h1,assumption,(~(((eigen__0 @ (^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))))) => sP1))),introduced(assumption,[])). % 0.13/0.36 thf(h2,assumption,(eigen__0 @ (^[X1:a]:(^[X2:a]:(![X3:a>$o]:((X3 @ X1) => (X3 @ X2)))))),introduced(assumption,[])). % 0.13/0.36 thf(h3,assumption,(~(sP1)),introduced(assumption,[])). % 0.13/0.36 thf(1,plain,sP1,inference(normalize,[status(thm)],[h2]). % 0.13/0.36 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h2,h3,h1,h0])],[1,h3])). % 0.13/0.36 thf(3,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,2,h2,h3])). % 0.13/0.36 thf(4,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,3,h1])). % 0.13/0.36 thf(0,theorem,(![X1:(a>a>$o)>$o]:((X1 @ (^[X2:a]:(^[X3:a]:(![X4:a>$o]:((X4 @ X2) => (X4 @ X3)))))) => (X1 @ (=)))),inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])). % 0.13/0.36 % SZS output end Proof %------------------------------------------------------------------------------