%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n027.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 0.76s 1.15s % Output : CNFRefutation 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.13/0.33 % Computer : n027.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 13 20:55:32 EDT 2022 % 0.13/0.33 % CPUTime : % 0.76/1.15 Theorem Proved. % 0.76/1.15 % SZS status Unsatisfiable % 0.76/1.15 % SZS output start CNFRefutation % 0.76/1.15 [1=axiom,[], % 0.76/1.15 multiply(X10,inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X10)))) = X13]. % 0.76/1.15 [2=axiom,[], % 0.76/1.15 thtop(X10,X10) = thmfalse]. % 0.76/1.15 [3=axiom,[], % 0.76/1.15 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.76/1.15 [4=param(1,1),[], % 0.76/1.15 multiply(X10,inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),multiply(X14,inverse(X14))),multiply(X12,X10)))) = X13]. % 0.76/1.15 [6=param(1,1),[], % 0.76/1.15 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]. % 0.76/1.15 [7=param(1,4),[], % 0.76/1.15 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)))]. % 0.76/1.15 [9=param(7,4),[], % 0.76/1.15 multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),X12))),multiply(X14,inverse(X14))) = X13]. % 0.76/1.15 [10=param(1,7),[], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,inverse(multiply(multiply(X13,multiply(X14,inverse(X14))),multiply(X11,X12))))))) = X13]. % 0.76/1.15 [11=param(10,1),[], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,multiply(X14,inverse(X14)))))),X12))) = X13]. % 0.76/1.15 [12=param(1,10),[], % 0.76/1.15 multiply(inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(X12,multiply(X13,inverse(X13))),multiply(X10,X11)))))),inverse(multiply(inverse(X14),X12))) = X14]. % 0.76/1.15 [14=param(10,4),[], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12))) = multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12)))]. % 0.76/1.15 [16=param(14,1),[1], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(X11)) = multiply(multiply(X12,inverse(X12)),inverse(X11))]. % 0.76/1.15 [19=param(1,14),[1], % 0.76/1.15 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 0.76/1.15 [22=param(6,10),[12], % 0.76/1.15 multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(multiply(X12,inverse(X12)),X10))),X13)) = X13]. % 0.76/1.15 [24=param(1,19),[], % 0.76/1.15 multiply(X10,inverse(multiply(inverse(X11),multiply(multiply(X12,inverse(X12)),X10)))) = X11]. % 0.76/1.15 [26=param(4,19),[], % 0.76/1.15 multiply(inverse(X10),inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X10,X12))),multiply(X13,inverse(X13))),multiply(X14,inverse(X14))))) = X12]. % 0.76/1.15 [32=param(1,24),[], % 0.76/1.15 multiply(X10,inverse(multiply(multiply(multiply(X11,inverse(X11)),multiply(X12,inverse(X12))),multiply(X13,X10)))) = inverse(X13)]. % 0.76/1.15 [36=param(24,19),[], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(inverse(X11),multiply(X12,inverse(X12))))) = X11]. % 0.76/1.15 [45=param(22,1),[], % 0.76/1.15 multiply(X10,X11) = inverse(multiply(X12,multiply(multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12))),multiply(multiply(X14,inverse(X14)),inverse(multiply(multiply(X15,inverse(X15)),X10))))))]. % 0.76/1.15 [58=param(22,19),[], % 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),X10))))]. % 0.76/1.15 [59=param(22,19),[], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.76/1.15 [72=param(11,7),[32], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))) = X11]. % 0.76/1.15 [90=param(22,72),[], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))]. % 0.76/1.15 [124=param(90,59),[], % 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12))))) = X11]. % 0.76/1.15 [130=param(16,90),[72], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),X12)) = X12]. % 0.76/1.15 [145=param(130,22),[], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))),X11)]. % 0.76/1.15 [183=param(124,9),[], % 0.76/1.15 inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),X12)) = inverse(inverse(X10))]. % 0.76/1.15 [189=param(124,22),[], % 0.76/1.15 inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))))))) = X13]. % 0.76/1.15 [195=param(36,124),[], % 0.76/1.15 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))))]. % 0.76/1.15 [205=param(124,130),[], % 0.76/1.15 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))]. % 0.76/1.15 [226=param(59,205),[], % 0.76/1.15 multiply(inverse(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))))),multiply(multiply(X12,inverse(X12)),X13)) = X13]. % 0.76/1.15 [228=param(124,205),[], % 0.76/1.15 inverse(inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12),multiply(X13,inverse(X13))))) = X12]. % 0.76/1.15 [265=param(183,1),[], % 0.76/1.15 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(X11)),X12)) = inverse(inverse(inverse(multiply(X13,multiply(multiply(multiply(X14,inverse(X14)),inverse(multiply(X11,X13))),X12)))))]. % 0.76/1.15 [269=param(183,14),[], % 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12)))) = inverse(inverse(inverse(inverse(multiply(X11,X12)))))]. % 0.76/1.15 [273=demod(189),[269], % 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),multiply(multiply(X11,inverse(X11)),X12)))))))) = X12]. % 0.76/1.15 [274=demod(145),[269], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(inverse(inverse(inverse(multiply(X13,inverse(X13))))))),X11)]. % 0.76/1.15 [277=demod(58),[269], % 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(multiply(multiply(X12,inverse(X12)),X10)))))]. % 0.76/1.15 [281=param(183,16),[], % 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),inverse(X11))) = inverse(inverse(inverse(inverse(X11))))]. % 0.76/1.15 [285=demod(226),[281], % 0.76/1.15 multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10))))))))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.76/1.15 [286=param(183,19),[], % 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(inverse(inverse(X11)))]. % 0.76/1.15 [290=demod(273),[286,286], % 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))))))) = X10]. % 0.76/1.15 [299=demod(277),[286], % 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(inverse(inverse(X10))))))]. % 0.76/1.15 [308=demod(26),[299,286,299,290], % 0.76/1.15 multiply(inverse(X10),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,X11)))))))) = X11]. % 0.76/1.15 [321=demod(228),[299], % 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))))))))) = X12]. % 0.76/1.15 [334=demod(195),[299,299,286], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))))]. % 0.76/1.15 [342=demod(90),[299], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11))))))))]. % 0.76/1.15 [348=demod(334),[342,290], % 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10))))))))) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.76/1.15 [353=demod(290),[348], % 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(X10)))))) = X10]. % 0.76/1.15 [356=demod(308),[353], % 0.76/1.15 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.76/1.15 [365=demod(285),[353], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12]. % 0.76/1.15 [370=demod(321),[353], % 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))) = X12]. % 0.76/1.15 [372=demod(342),[353], % 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(X11))]. % 0.76/1.15 [373=demod(365),[372,286], % 0.76/1.15 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.76/1.15 [376=demod(274),[373], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),multiply(X13,inverse(X13))),X11)]. % 0.76/1.15 [382=demod(370),[373], % 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12))) = X12]. % 0.76/1.15 [388=demod(353),[373], % 0.76/1.15 inverse(inverse(X10)) = X10]. % 0.76/1.15 [396=demod(382),[388], % 0.76/1.15 multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12) = X12]. % 0.76/1.15 [397=demod(376),[396], % 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = X11]. % 0.76/1.15 [417=demod(265),[397,397,388], % 0.76/1.15 inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),X11))) = inverse(multiply(inverse(X10),X11))]. % 0.76/1.15 [428=demod(45),[397,397,397,417], % 0.76/1.15 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 0.76/1.15 [478=param(388,417),[388], % 0.76/1.15 multiply(X12,multiply(inverse(multiply(X10,X12)),X11)) = multiply(inverse(X10),X11)]. % 0.76/1.15 [499=param(356,478),[], % 0.76/1.15 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))]. % 0.76/1.15 [511=param(499,428),[388,388], % 0.76/1.15 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.76/1.15 [525=param(3,511),[2], % 0.76/1.15 thmtrue = thmfalse]. % 0.76/1.15 % SZS output end CNFRefutation % 0.76/1.15 Space: 510 KB %------------------------------------------------------------------------------