%------------------------------------------------------------------------------ % File : Satallax---3.5 % Problem : SYO358^5 : 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 : n031.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 0.13s 0.38s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO358^5 : 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 % 0.13/0.35 % Computer : n031.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 9 00:48:23 EDT 2025 % 0.13/0.35 % CPUTime : % 0.13/0.38 % SZS status Theorem % 0.13/0.38 % Mode: mode213 % 0.13/0.38 % Inferences: 10 % 0.13/0.38 % SZS output start Proof % 0.13/0.38 thf(ty_atype, type, atype : $tType). % 0.13/0.38 thf(ty_a, type, a : $o). % 0.13/0.38 thf(ty_v, type, v : atype). % 0.13/0.38 thf(ty_eigen__0, type, eigen__0 : (atype>$o)). % 0.13/0.38 thf(ty_b, type, b : $o). % 0.13/0.38 thf(ty_u, type, u : atype). % 0.13/0.38 thf(sP1,plain,sP1 <=> (eigen__0 @ v),introduced(definition,[new_symbols(definition,[sP1])])). % 0.13/0.38 thf(sP2,plain,sP2 <=> (u = v),introduced(definition,[new_symbols(definition,[sP2])])). % 0.13/0.38 thf(sP3,plain,sP3 <=> (eigen__0 @ u),introduced(definition,[new_symbols(definition,[sP3])])). % 0.13/0.38 thf(sP4,plain,sP4 <=> b,introduced(definition,[new_symbols(definition,[sP4])])). % 0.13/0.38 thf(cE2LEIBEQ1_pme,conjecture,((![X1:atype>$o]:((X1 @ u) => (X1 @ v))) => (![X1:atype>$o]:((~((((~(a)) => (~(a))) => (~((X1 @ u)))))) => (~((((~(sP4)) => (~(sP4))) => (~((X1 @ v)))))))))). % 0.13/0.38 thf(h0,negated_conjecture,(~(((![X1:atype>$o]:((X1 @ u) => (X1 @ v))) => (![X1:atype>$o]:((~((((~(a)) => (~(a))) => (~((X1 @ u)))))) => (~((((~(sP4)) => (~(sP4))) => (~((X1 @ v))))))))))),inference(assume_negation,[status(cth)],[cE2LEIBEQ1_pme])). % 0.13/0.38 thf(h1,assumption,(![X1:atype>$o]:((X1 @ u) => (X1 @ v))),introduced(assumption,[])). % 0.13/0.38 thf(h2,assumption,(~((![X1:atype>$o]:((~((((~(a)) => (~(a))) => (~((X1 @ u)))))) => (~((((~(sP4)) => (~(sP4))) => (~((X1 @ v)))))))))),introduced(assumption,[])). % 0.13/0.38 thf(h3,assumption,(~(((~((((~(a)) => (~(a))) => (~(sP3))))) => (~((((~(sP4)) => (~(sP4))) => (~(sP1)))))))),introduced(assumption,[])). % 0.13/0.38 thf(h4,assumption,(~((((~(a)) => (~(a))) => (~(sP3))))),introduced(assumption,[])). % 0.13/0.38 thf(h5,assumption,(((~(sP4)) => (~(sP4))) => (~(sP1))),introduced(assumption,[])). % 0.13/0.38 thf(h6,assumption,((~(a)) => (~(a))),introduced(assumption,[])). % 0.13/0.38 thf(h7,assumption,sP3,introduced(assumption,[])). % 0.13/0.38 thf(h8,assumption,a,introduced(assumption,[])). % 0.13/0.38 thf(h9,assumption,(~(a)),introduced(assumption,[])). % 0.13/0.38 thf(h10,assumption,(~(((~(sP4)) => (~(sP4))))),introduced(assumption,[])). % 0.13/0.38 thf(h11,assumption,(~(sP1)),introduced(assumption,[])). % 0.13/0.38 thf(h12,assumption,(~(sP4)),introduced(assumption,[])). % 0.13/0.38 thf(h13,assumption,sP4,introduced(assumption,[])). % 0.13/0.38 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h13,h10,h8,h6,h7,h4,h5,h3,h1,h2,h0])],[h13,h12])). % 0.13/0.38 thf(2,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h8,h6,h7,h4,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,1,h12,h13])). % 0.13/0.38 thf(3,plain,((~(sP3) | sP1) | ~(sP2)),inference(mating_rule,[status(thm)],[])). % 0.13/0.38 thf(4,plain,sP2,inference(normalize,[status(thm)],[h1]). % 0.13/0.38 thf(5,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h8,h6,h7,h4,h5,h3,h1,h2,h0])],[3,4,h7,h11])). % 0.13/0.38 thf(6,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h7,h4,h5,h3,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h5,2,5,h10,h11])). % 0.13/0.38 thf(7,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h13,h10,h9,h6,h7,h4,h5,h3,h1,h2,h0])],[h13,h12])). % 0.13/0.38 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h9,h6,h7,h4,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,7,h12,h13])). % 0.13/0.38 thf(9,plain,((~(sP3) | sP1) | ~(sP2)),inference(mating_rule,[status(thm)],[])). % 0.13/0.38 thf(10,plain,$false,inference(prop_unsat,[status(thm),assumptions([h11,h9,h6,h7,h4,h5,h3,h1,h2,h0])],[9,4,h7,h11])). % 0.13/0.38 thf(11,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h6,h7,h4,h5,h3,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h5,8,10,h10,h11])). % 0.13/0.38 thf(12,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h7,h4,h5,h3,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h6,6,11,h8,h9])). % 0.13/0.38 thf(13,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[h4,12,h6,h7])). % 0.13/0.38 thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,13,h4,h5])). % 0.13/0.38 thf(15,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__0)],[h2,14,h3])). % 0.13/0.38 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,15,h1,h2])). % 0.13/0.38 thf(0,theorem,((![X1:atype>$o]:((X1 @ u) => (X1 @ v))) => (![X1:atype>$o]:((~((((~(a)) => (~(a))) => (~((X1 @ u)))))) => (~((((~(sP4)) => (~(sP4))) => (~((X1 @ v))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[16,h0])). % 0.13/0.38 % SZS output end Proof %------------------------------------------------------------------------------