%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP441-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n029.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 09:14:03 EDT 2022 % Result : Unsatisfiable 0.85s 1.22s % Output : CNFRefutation 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP441-1 : TPTP v8.1.0. Released v2.6.0. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 14 06:40:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.85/1.22 Theorem Proved. % 0.85/1.22 % SZS status Unsatisfiable % 0.85/1.22 % SZS output start CNFRefutation % 0.85/1.22 [1=axiom,[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(X13,multiply(X10,X12))))))) = X13]. % 0.85/1.22 [2=axiom,[], % 0.85/1.22 thtop(X10,X10) = thmfalse]. % 0.85/1.22 [3=axiom,[], % 0.85/1.22 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.85/1.22 [4=param(1,1),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),X12),inverse(multiply(X13,multiply(X14,X12))))),X13)))) = X14]. % 0.85/1.22 [5=param(1,4),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),multiply(multiply(inverse(X12),X13),inverse(multiply(X14,multiply(X15,X13))))),X14)),X15)))) = X12]. % 0.85/1.22 [6=param(1,1),[], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(X11,multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(X14,multiply(X11,X13)))))),multiply(multiply(X14,X15),inverse(multiply(X16,multiply(X10,X15))))))) = X16]. % 0.85/1.22 [10=param(1,6),[], % 0.85/1.22 inverse(multiply(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(X13,multiply(X10,X12)))))),multiply(X14,multiply(multiply(inverse(X14),multiply(multiply(X13,X15),inverse(multiply(X16,multiply(X17,X15))))),X16)))) = X17]. % 0.85/1.22 [16=param(1,10),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),multiply(multiply(X12,X13),inverse(multiply(X14,multiply(X15,X13))))),X14)),X15)))) = multiply(X16,multiply(X17,multiply(multiply(inverse(X17),X18),inverse(multiply(X12,multiply(X16,X18))))))]. % 0.85/1.22 [18=param(16,5),[], % 0.85/1.22 multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X13),multiply(X10,X12)))))) = X13]. % 0.85/1.22 [20=param(1,18),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(X12,inverse(multiply(X13,multiply(X10,multiply(X14,multiply(multiply(inverse(X14),X15),inverse(multiply(inverse(X12),multiply(inverse(X11),X15)))))))))))) = X13]. % 0.85/1.22 [21=param(1,18),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X14),multiply(X10,X13)))))),inverse(multiply(X15,X14)))))) = X15]. % 0.85/1.22 [24=param(1,20),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,multiply(X14,multiply(X15,multiply(multiply(inverse(X15),X16),inverse(multiply(inverse(X12),multiply(inverse(X10),X16)))))))))),X13)))) = X14]. % 0.85/1.22 [25=param(20,16),[5], % 0.85/1.22 inverse(multiply(inverse(X10),multiply(X10,multiply(X11,inverse(multiply(X12,X11)))))) = X12]. % 0.85/1.22 [27=param(1,25),[], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,multiply(X12,inverse(multiply(X13,X12))))),multiply(multiply(X13,X14),inverse(multiply(X15,multiply(X10,X14))))))) = X15]. % 0.85/1.22 [28=param(1,25),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)))) = inverse(X10)]. % 0.85/1.22 [60=param(25,28),[], % 0.85/1.22 inverse(multiply(inverse(X10),multiply(X10,multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),inverse(X14))))) = X14]. % 0.85/1.22 [83=param(60,6),[1], % 0.85/1.22 multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13))) = X10]. % 0.85/1.22 [87=param(1,83),[83], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(X12,X10)))))) = X12]. % 0.85/1.22 [124=param(1,87),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(inverse(X10),inverse(multiply(X12,X13)))),X12)))) = X13]. % 0.85/1.22 [151=param(87,87),[], % 0.85/1.22 inverse(multiply(multiply(X10,multiply(inverse(X10),inverse(multiply(X11,X12)))),multiply(X13,multiply(inverse(X13),X11)))) = X12]. % 0.85/1.22 [192=param(151,83),[], % 0.85/1.22 inverse(multiply(multiply(X10,multiply(inverse(X10),inverse(multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),X14)))),multiply(X15,inverse(X15)))) = X14]. % 0.85/1.22 [218=param(124,24),[], % 0.85/1.22 multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(inverse(X13)),multiply(inverse(X13),X12)))))) = X10]. % 0.85/1.22 [225=param(124,60),[], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,multiply(multiply(X12,multiply(multiply(inverse(X12),multiply(X13,inverse(multiply(X14,X13)))),X14)),inverse(X15)))),multiply(multiply(X15,multiply(inverse(X10),inverse(multiply(X16,X17)))),X16)))) = X17]. % 0.85/1.22 [236=param(218,1),[1], % 0.85/1.22 multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X13),multiply(X13,X12)))))) = X10]. % 0.85/1.22 [277=param(236,83),[83], % 0.85/1.22 multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(inverse(X12),X12))))) = X10]. % 0.85/1.22 [328=param(277,83),[], % 0.85/1.22 multiply(X10,multiply(X11,multiply(inverse(X11),inverse(inverse(multiply(X12,multiply(multiply(inverse(X12),multiply(X13,inverse(multiply(X14,X13)))),X14))))))) = X10]. % 0.85/1.22 [342=param(151,277),[], % 0.85/1.22 inverse(multiply(X10,multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),X12))))) = X12]. % 0.85/1.22 [384=param(87,342),[], % 0.85/1.22 inverse(multiply(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),X12))),multiply(X13,multiply(inverse(X13),X12)))) = X10]. % 0.85/1.22 [412=param(27,384),[], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,multiply(X12,inverse(multiply(X13,X12))))),multiply(multiply(X13,multiply(inverse(X10),X14)),X15)))) = multiply(inverse(X15),inverse(multiply(inverse(multiply(inverse(X16),X16)),X14)))]. % 0.85/1.22 [423=param(384,277),[], % 0.85/1.22 inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12)))))) = X10]. % 0.85/1.22 [458=param(277,423),[], % 0.85/1.22 multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),inverse(multiply(inverse(X13),X13))))))) = X10]. % 0.85/1.22 [464=param(21,458),[342], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(multiply(inverse(X14),X14)),multiply(X10,X13)))))),inverse(X15))))) = X15]. % 0.85/1.22 [485=param(384,458),[423], % 0.85/1.22 inverse(multiply(inverse(X10),multiply(inverse(X11),X11))) = X10]. % 0.85/1.22 [488=param(1,485),[], % 0.85/1.22 inverse(multiply(inverse(X10),multiply(X11,multiply(multiply(inverse(X11),X10),X12)))) = inverse(X12)]. % 0.85/1.22 [499=param(21,485),[], % 0.85/1.22 inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(multiply(inverse(X14),X14)),multiply(X10,X13)))))),X15)))) = inverse(X15)]. % 0.85/1.22 [500=demod(464),[499], % 0.85/1.22 inverse(inverse(X10)) = X10]. % 0.85/1.22 [549=demod(328),[500,83], % 0.85/1.22 multiply(X10,multiply(X11,inverse(X11))) = X10]. % 0.85/1.22 [551=demod(192),[549], % 0.85/1.22 inverse(multiply(X10,multiply(inverse(X10),inverse(multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),X14))))) = X14]. % 0.85/1.22 [612=param(485,25),[], % 0.85/1.22 inverse(multiply(X10,inverse(multiply(X11,X10)))) = X11]. % 0.85/1.22 [624=param(485,342),[], % 0.85/1.22 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11]. % 0.85/1.22 [636=demod(342),[624], % 0.85/1.22 inverse(multiply(X10,multiply(inverse(X10),inverse(X11)))) = X11]. % 0.85/1.22 [641=demod(551),[636], % 0.85/1.22 multiply(multiply(X10,multiply(multiply(inverse(X10),multiply(X11,inverse(multiply(X12,X11)))),X12)),X13) = X13]. % 0.85/1.22 [649=demod(225),[641], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,inverse(X12))),multiply(multiply(X12,multiply(inverse(X10),inverse(multiply(X13,X14)))),X13)))) = X14]. % 0.85/1.22 [761=demod(412),[624], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,multiply(X12,inverse(multiply(X13,X12))))),multiply(multiply(X13,multiply(inverse(X10),X14)),X15)))) = multiply(inverse(X15),inverse(X14))]. % 0.85/1.22 [845=param(500,612),[], % 0.85/1.22 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 0.85/1.22 [848=demod(761),[845], % 0.85/1.22 inverse(multiply(X10,multiply(multiply(inverse(X11),multiply(X11,inverse(X12))),multiply(multiply(X12,multiply(inverse(X10),X13)),X14)))) = multiply(inverse(X14),inverse(X13))]. % 0.85/1.22 [849=demod(649),[848,500], % 0.85/1.22 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.85/1.22 [1132=param(500,488),[500], % 0.85/1.22 multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X11),X10))) = X10]. % 0.85/1.22 [1139=param(849,1132),[500], % 0.85/1.22 multiply(X12,multiply(multiply(inverse(X12),X10),X11)) = multiply(X10,X11)]. % 0.85/1.22 [1212=param(1139,849),[], % 0.85/1.22 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.85/1.22 [1244=param(3,1212),[2], % 0.85/1.22 thmtrue = thmfalse]. % 0.85/1.22 % SZS output end CNFRefutation % 0.85/1.22 Space: 1547 KB %------------------------------------------------------------------------------