%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO236^5 : 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 : n011.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 03:25:12 PM UTC 2025 % Result : Theorem 0.19s 0.36s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO236^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s % 0.13/0.34 % Computer : n011.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 00:22:08 EDT 2025 % 0.13/0.34 % CPUTime : % 0.19/0.36 % SZS status Theorem % 0.19/0.36 % Mode: mode213 % 0.19/0.36 % Inferences: 5 % 0.19/0.36 % SZS output start Proof % 0.19/0.36 thf(ty_a, type, a : $tType). % 0.19/0.36 thf(ty_b, type, b : $tType). % 0.19/0.36 thf(ty_eigen__1, type, eigen__1 : b). % 0.19/0.36 thf(ty_eigen__0, type, eigen__0 : b). % 0.19/0.36 thf(ty_g, type, g : (b>a)). % 0.19/0.36 thf(ty_f, type, f : (b>a)). % 0.19/0.36 thf(sP1,plain,sP1 <=> (f = g),introduced(definition,[new_symbols(definition,[sP1])])). % 0.19/0.36 thf(sP2,plain,sP2 <=> ((f @ eigen__1) = (g @ eigen__1)),introduced(definition,[new_symbols(definition,[sP2])])). % 0.19/0.36 thf(sP3,plain,sP3 <=> ((f @ eigen__0) = (g @ eigen__0)),introduced(definition,[new_symbols(definition,[sP3])])). % 0.19/0.36 thf(sP4,plain,sP4 <=> (![X1:b]:((f @ X1) = (g @ X1))),introduced(definition,[new_symbols(definition,[sP4])])). % 0.19/0.36 thf(cTHM504,conjecture,(((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1)). % 0.19/0.36 thf(h0,negated_conjecture,(~((((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1))),inference(assume_negation,[status(cth)],[cTHM504])). % 0.19/0.36 thf(h1,assumption,((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4),introduced(assumption,[])). % 0.19/0.36 thf(h2,assumption,(~(sP1)),introduced(assumption,[])). % 0.19/0.36 thf(h3,assumption,(![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))),introduced(assumption,[])). % 0.19/0.36 thf(h4,assumption,sP4,introduced(assumption,[])). % 0.19/0.36 thf(h5,assumption,(~(sP4)),introduced(assumption,[])). % 0.19/0.36 thf(h6,assumption,(~(sP3)),introduced(assumption,[])). % 0.19/0.36 thf(1,plain,(~(sP4) | sP3),inference(all_rule,[status(thm)],[])). % 0.19/0.36 thf(2,plain,(~(sP1) | sP4),inference(prop_rule,[status(thm)],[])). % 0.19/0.36 thf(3,plain,sP1,inference(normalize,[status(thm)],[h3]). % 0.19/0.36 thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h6,h5,h3,h1,h2,h0])],[1,2,3,h6])). % 0.19/0.36 thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__0)],[h5,4,h6])). % 0.19/0.36 thf(6,plain,$false,inference(tab_fe,[status(thm),assumptions([h3,h1,h2,h0]),tab_fe(discharge,[h5])],[h2,5,h5])). % 0.19/0.36 thf(h7,assumption,(~(sP2)),introduced(assumption,[])). % 0.19/0.36 thf(7,plain,(~(sP4) | sP2),inference(all_rule,[status(thm)],[])). % 0.19/0.36 thf(8,plain,$false,inference(prop_unsat,[status(thm),assumptions([h7,h5,h4,h1,h2,h0])],[7,h4,h7])). % 0.19/0.36 thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h4,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__1)],[h5,8,h7])). % 0.19/0.36 thf(10,plain,$false,inference(tab_fe,[status(thm),assumptions([h4,h1,h2,h0]),tab_fe(discharge,[h5])],[h2,9,h5])). % 0.19/0.36 thf(11,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,6,10,h3,h4])). % 0.19/0.36 thf(12,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,11,h1,h2])). % 0.19/0.36 thf(0,theorem,(((~((![X1:(b>a)>$o]:((X1 @ f) => (X1 @ g))))) => sP4) => sP1),inference(contra,[status(thm),contra(discharge,[h0])],[12,h0])). % 0.19/0.36 % SZS output end Proof %------------------------------------------------------------------------------