%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP430-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n015.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 : 600s % DateTime : Sat Jul 16 09:14:00 EDT 2022 % Result : Unsatisfiable 0.82s 1.19s % Output : CNFRefutation 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GRP430-1 : TPTP v8.1.0. Released v2.6.0. % 0.08/0.13 % Command : fiesta-wrapper %s % 0.15/0.35 % Computer : n015.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Tue Jun 14 10:44:09 EDT 2022 % 0.15/0.35 % CPUTime : % 0.82/1.19 Theorem Proved. % 0.82/1.19 % SZS status Unsatisfiable % 0.82/1.19 % SZS output start CNFRefutation % 0.82/1.19 [1=axiom,[], % 0.82/1.19 multiply(X10,inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X10)))) = X13]. % 0.82/1.19 [3=axiom,[], % 0.82/1.19 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue]. % 0.82/1.19 [4=param(1,1),[], % 0.82/1.19 multiply(X10,inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),multiply(X14,inverse(X14))),multiply(X12,X10)))) = X13]. % 0.82/1.19 [6=param(1,1),[], % 0.82/1.19 multiply(X10,inverse(multiply(inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X14))),multiply(multiply(multiply(X15,inverse(X15)),inverse(X13)),X10)))) = X14]. % 0.82/1.19 [7=param(1,4),[], % 0.82/1.19 multiply(X10,inverse(multiply(multiply(X11,multiply(X12,inverse(X12))),multiply(X13,X10)))) = multiply(multiply(multiply(X14,inverse(X14)),inverse(multiply(X11,X13))),multiply(X15,inverse(X15)))]. % 0.82/1.19 [9=param(7,4),[], % 0.82/1.19 multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),X12))),multiply(X14,inverse(X14))) = X13]. % 0.82/1.19 [10=param(1,7),[], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,inverse(multiply(multiply(X13,multiply(X14,inverse(X14))),multiply(X11,X12))))))) = X13]. % 0.82/1.19 [11=param(10,1),[], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,multiply(X14,inverse(X14)))))),X12))) = X13]. % 0.82/1.19 [12=param(1,10),[], % 0.82/1.19 multiply(inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(X12,multiply(X13,inverse(X13))),multiply(X10,X11)))))),inverse(multiply(inverse(X14),X12))) = X14]. % 0.82/1.19 [14=param(10,4),[], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12))) = multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12)))]. % 0.82/1.19 [16=param(14,1),[1], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(X11)) = multiply(multiply(X12,inverse(X12)),inverse(X11))]. % 0.82/1.19 [19=param(1,14),[1], % 0.82/1.19 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 0.82/1.19 [22=param(6,10),[12], % 0.82/1.19 multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(multiply(X12,inverse(X12)),X10))),X13)) = X13]. % 0.82/1.19 [24=param(1,19),[], % 0.82/1.19 multiply(X10,inverse(multiply(inverse(X11),multiply(multiply(X12,inverse(X12)),X10)))) = X11]. % 0.82/1.19 [26=param(4,19),[], % 0.82/1.19 multiply(inverse(X10),inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X10,X12))),multiply(X13,inverse(X13))),multiply(X14,inverse(X14))))) = X12]. % 0.82/1.19 [32=param(1,24),[], % 0.82/1.19 multiply(X10,inverse(multiply(multiply(multiply(X11,inverse(X11)),multiply(X12,inverse(X12))),multiply(X13,X10)))) = inverse(X13)]. % 0.82/1.19 [36=param(24,19),[], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(inverse(X11),multiply(X12,inverse(X12))))) = X11]. % 0.82/1.19 [58=param(22,19),[], % 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),X10))))]. % 0.82/1.19 [59=param(22,19),[], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.82/1.19 [72=param(11,7),[32], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))) = X11]. % 0.82/1.19 [90=param(22,72),[], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))]. % 0.82/1.19 [124=param(90,59),[], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12))))) = X11]. % 0.82/1.19 [130=param(16,90),[72], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),X12)) = X12]. % 0.82/1.19 [145=param(130,22),[], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))),X11)]. % 0.82/1.19 [183=param(124,9),[], % 0.82/1.19 inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),X12)) = inverse(inverse(X10))]. % 0.82/1.19 [189=param(124,22),[], % 0.82/1.19 inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))))))) = X13]. % 0.82/1.19 [195=param(36,124),[], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(X11,multiply(X12,inverse(X12))))) = inverse(multiply(multiply(multiply(X13,inverse(X13)),X11),multiply(X14,inverse(X14))))]. % 0.82/1.19 [204=param(124,124),[], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(inverse(multiply(multiply(multiply(X12,inverse(X12)),X13),multiply(X14,inverse(X14)))),X13)))) = X11]. % 0.82/1.19 [205=param(124,130),[], % 0.82/1.19 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))]. % 0.82/1.19 [226=param(59,205),[], % 0.82/1.19 multiply(inverse(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))))),multiply(multiply(X12,inverse(X12)),X13)) = X13]. % 0.82/1.19 [228=param(124,205),[], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12),multiply(X13,inverse(X13))))) = X12]. % 0.82/1.19 [269=param(183,14),[], % 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12)))) = inverse(inverse(inverse(inverse(multiply(X11,X12)))))]. % 0.82/1.19 [273=demod(189),[269], % 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),multiply(multiply(X11,inverse(X11)),X12)))))))) = X12]. % 0.82/1.19 [274=demod(145),[269], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(inverse(inverse(inverse(multiply(X13,inverse(X13))))))),X11)]. % 0.82/1.19 [277=demod(58),[269], % 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(multiply(multiply(X12,inverse(X12)),X10)))))]. % 0.82/1.19 [281=param(183,16),[], % 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),inverse(X11))) = inverse(inverse(inverse(inverse(X11))))]. % 0.82/1.19 [285=demod(226),[281], % 0.82/1.19 multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10))))))))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.82/1.19 [286=param(183,19),[], % 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(inverse(inverse(X11)))]. % 0.82/1.19 [290=demod(273),[286,286], % 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))))))) = X10]. % 0.82/1.19 [299=demod(277),[286], % 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(inverse(inverse(X10))))))]. % 0.82/1.19 [308=demod(26),[299,286,299,290], % 0.82/1.19 multiply(inverse(X10),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,X11)))))))) = X11]. % 0.82/1.19 [310=demod(204),[299,286], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X12))))))))),X12)))) = X11]. % 0.82/1.19 [321=demod(228),[299], % 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))))))))) = X12]. % 0.82/1.19 [334=demod(195),[299,299,286], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))))]. % 0.82/1.19 [342=demod(90),[299], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11))))))))]. % 0.82/1.19 [348=demod(334),[342,290], % 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10))))))))) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.82/1.19 [353=demod(290),[348], % 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(X10)))))) = X10]. % 0.82/1.19 [356=demod(308),[353], % 0.82/1.19 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.82/1.19 [365=demod(285),[353], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.82/1.19 [370=demod(321),[353], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))) = X12]. % 0.82/1.19 [372=demod(342),[353], % 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(X11))]. % 0.82/1.19 [373=demod(365),[372,286], % 0.82/1.19 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.82/1.19 [376=demod(274),[373], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),multiply(X13,inverse(X13))),X11)]. % 0.82/1.19 [382=demod(370),[373], % 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12))) = X12]. % 0.82/1.19 [388=demod(353),[373], % 0.82/1.19 inverse(inverse(X10)) = X10]. % 0.82/1.19 [396=demod(382),[388], % 0.82/1.19 multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12) = X12]. % 0.82/1.19 [397=demod(376),[396], % 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = X11]. % 0.82/1.19 [425=demod(310),[397,388,388,388,388,388], % 0.82/1.19 multiply(X10,multiply(inverse(X11),X11)) = X10]. % 0.82/1.19 [436=param(356,425),[], % 0.82/1.19 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)]. % 0.82/1.19 [454=param(3,436),[], % 0.82/1.19 thtop(multiply(inverse(X10),X10),multiply(inverse(b1),b1)) = thmtrue]. % 0.82/1.19 % SZS output end CNFRefutation % 0.82/1.19 Space: 440 KB %------------------------------------------------------------------------------