%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n032.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 09:13:54 EDT 2022 % Result : Unsatisfiable 2.46s 2.85s % Output : CNFRefutation 2.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.10 % Problem : GRP404-1 : TPTP v8.1.0. Released v2.6.0. % 0.02/0.10 % Command : fiesta-wrapper %s % 0.11/0.30 % Computer : n032.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Tue Jun 14 01:40:12 EDT 2022 % 0.11/0.30 % CPUTime : % 2.46/2.85 Theorem Proved. % 2.46/2.85 % SZS status Unsatisfiable % 2.46/2.85 % SZS output start CNFRefutation % 2.46/2.85 [1=axiom,[], % 2.46/2.85 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),inverse(multiply(X11,multiply(inverse(X11),X11)))))) = X12]. % 2.46/2.85 [2=axiom,[], % 2.46/2.85 thtop(X10,X10) = thmfalse]. % 2.46/2.85 [3=axiom,[], % 2.46/2.85 thtop(multiply(multiply(inverse(b2),b2),a2),a2) = thmtrue]. % 2.46/2.85 [4=param(1,1),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X12)),X13)),X11)),inverse(multiply(X13,multiply(inverse(X13),X13))))) = multiply(X10,inverse(multiply(inverse(X11),inverse(multiply(X12,multiply(inverse(X12),X12))))))]. % 2.46/2.85 [5=param(1,4),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),inverse(multiply(X11,multiply(inverse(X11),X11))))))) = X12]. % 2.46/2.85 [6=param(5,4),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X12,inverse(multiply(inverse(X13),inverse(multiply(X14,multiply(inverse(X14),X14)))))))) = multiply(inverse(multiply(inverse(multiply(X12,X14)),X11)),X13)]. % 2.46/2.85 [7=param(6,1),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X12))]. % 2.46/2.85 [10=param(7,6),[1], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(X13,X11)),multiply(X13,X12))]. % 2.46/2.85 [12=param(1,10),[], % 2.46/2.85 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X13))),inverse(multiply(X12,multiply(inverse(X12),X12)))))) = multiply(X10,X13)]. % 2.46/2.85 [13=param(1,10),[], % 2.46/2.85 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),X13)),inverse(multiply(multiply(X11,X12),multiply(inverse(multiply(X14,X12)),multiply(X14,X12))))))) = X13]. % 2.46/2.85 [17=param(10,7),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),X13)),multiply(inverse(multiply(X14,X12)),multiply(X14,X15))) = multiply(inverse(multiply(X16,X13)),multiply(X16,multiply(inverse(multiply(X10,X11)),X15)))]. % 2.46/2.85 [18=param(10,10),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(multiply(X13,X11)),multiply(X13,X14))) = multiply(inverse(multiply(X15,X12)),multiply(X15,multiply(X10,X14)))]. % 2.46/2.85 [19=param(1,12),[1], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X10))),inverse(multiply(X12,multiply(inverse(X12),X12))))) = X10]. % 2.46/2.85 [21=param(1,19),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,inverse(multiply(multiply(X10,X12),multiply(inverse(multiply(X10,X12)),multiply(X10,X12))))))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [23=param(19,10),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,X13))),inverse(multiply(multiply(X11,X12),multiply(inverse(multiply(X14,X12)),multiply(X14,X12)))))) = X13]. % 2.46/2.85 [25=param(5,21),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12)))),inverse(multiply(X11,multiply(inverse(X11),X11)))) = X12]. % 2.46/2.85 [27=param(21,10),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,inverse(multiply(multiply(X10,X12),multiply(inverse(multiply(X13,X12)),multiply(X13,X12))))))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [28=param(25,6),[], % 2.46/2.85 multiply(inverse(multiply(X11,multiply(X12,inverse(X10)))),multiply(X11,multiply(X12,inverse(multiply(inverse(inverse(multiply(X13,multiply(inverse(X13),X13)))),inverse(multiply(X13,multiply(inverse(X13),X13)))))))) = X10]. % 2.46/2.85 [31=param(1,23),[27], % 2.46/2.85 inverse(multiply(multiply(X10,X11),multiply(inverse(multiply(X10,X11)),multiply(X10,X11)))) = inverse(multiply(multiply(X10,X11),multiply(inverse(multiply(X12,X11)),multiply(X12,X11))))]. % 2.46/2.85 [35=param(31,10),[], % 2.46/2.85 inverse(multiply(multiply(X10,X11),multiply(inverse(multiply(X12,X11)),multiply(X12,X11)))) = inverse(multiply(multiply(X10,X11),multiply(inverse(multiply(X13,X11)),multiply(X13,X11))))]. % 2.46/2.85 [36=param(5,35),[5], % 2.46/2.85 multiply(multiply(X10,X11),multiply(inverse(multiply(X12,X11)),multiply(X12,X11))) = multiply(multiply(X10,X11),multiply(inverse(multiply(X13,X11)),multiply(X13,X11)))]. % 2.46/2.85 [41=param(5,19),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X12,inverse(multiply(X11,multiply(inverse(X11),X11))))))) = multiply(inverse(multiply(inverse(multiply(X13,X14)),multiply(X13,X12))),inverse(multiply(X14,multiply(inverse(X14),X14))))]. % 2.46/2.85 [42=param(10,36),[], % 2.46/2.85 multiply(inverse(multiply(multiply(X10,X11),X12)),multiply(multiply(X10,X11),multiply(inverse(multiply(X13,X11)),multiply(X13,X11)))) = multiply(inverse(multiply(X14,X12)),multiply(X14,multiply(inverse(multiply(X15,X11)),multiply(X15,X11))))]. % 2.46/2.85 [45=param(13,10),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,X13))),X14)),inverse(multiply(multiply(X10,X13),multiply(inverse(multiply(X15,X13)),multiply(X15,X13))))))) = X14]. % 2.46/2.85 [48=param(5,45),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),X13) = multiply(inverse(multiply(inverse(multiply(X14,X11)),multiply(X14,X12))),X13)]. % 2.46/2.85 [53=param(48,7),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),multiply(inverse(multiply(X13,X11)),X14)) = multiply(inverse(multiply(X15,multiply(X13,X12))),multiply(X15,X14))]. % 2.46/2.85 [63=param(19,41),[], % 2.46/2.85 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X12,inverse(multiply(X11,multiply(inverse(X11),X11)))))))) = X12]. % 2.46/2.85 [70=param(63,19),[], % 2.46/2.85 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))) = inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))]. % 2.46/2.85 [85=param(70,41),[19], % 2.46/2.85 inverse(multiply(inverse(multiply(X14,multiply(X11,inverse(multiply(X10,inverse(multiply(X12,multiply(inverse(X12),X12)))))))),multiply(X14,X13))) = inverse(multiply(X10,multiply(inverse(multiply(X11,X12)),X13)))]. % 2.46/2.85 [89=param(1,42),[19], % 2.46/2.85 multiply(X10,multiply(inverse(multiply(X11,X12)),multiply(X11,X12))) = multiply(X10,multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))]. % 2.46/2.85 [99=param(5,85),[5], % 2.46/2.85 multiply(inverse(multiply(X14,multiply(X11,inverse(multiply(X10,inverse(multiply(X12,multiply(inverse(X12),X12)))))))),multiply(X14,X13)) = multiply(X10,multiply(inverse(multiply(X11,X12)),X13))]. % 2.46/2.85 [101=param(99,27),[], % 2.46/2.85 multiply(inverse(multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11))))),multiply(X10,X12)) = multiply(X13,multiply(inverse(multiply(inverse(multiply(X14,X11)),multiply(X14,X13))),X12))]. % 2.46/2.85 [110=param(53,18),[], % 2.46/2.85 multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,multiply(X11,X13))) = multiply(inverse(multiply(X14,multiply(X15,X12))),multiply(X14,multiply(X15,X13)))]. % 2.46/2.85 [114=param(70,110),[], % 2.46/2.85 inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,multiply(X11,X13)))) = inverse(multiply(inverse(multiply(X14,multiply(X15,X12))),multiply(X14,multiply(X15,X13))))]. % 2.46/2.85 [117=param(110,99),[99], % 2.46/2.85 multiply(X10,multiply(inverse(multiply(X11,X12)),multiply(X11,X13))) = multiply(X10,multiply(inverse(multiply(X14,X12)),multiply(X14,X13)))]. % 2.46/2.85 [138=param(114,99),[99], % 2.46/2.85 inverse(multiply(X10,multiply(inverse(multiply(X11,X12)),multiply(X11,X13)))) = inverse(multiply(X10,multiply(inverse(multiply(X14,X12)),multiply(X14,X13))))]. % 2.46/2.85 [149=param(101,25),[], % 2.46/2.85 multiply(inverse(X10),X10) = multiply(inverse(multiply(X11,inverse(multiply(X12,multiply(inverse(X12),X12))))),multiply(X11,inverse(multiply(X12,multiply(inverse(X12),X12)))))]. % 2.46/2.85 [161=param(149,25),[25], % 2.46/2.85 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)]. % 2.46/2.85 [192=param(5,161),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),X12)))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [195=param(6,161),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X13),inverse(multiply(X14,multiply(inverse(X14),X14)))))),X14)),X11)),X13)]. % 2.46/2.85 [212=param(19,161),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(X11,multiply(inverse(X11),X11))))) = X11]. % 2.46/2.85 [215=param(19,161),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),inverse(multiply(X11,multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [227=param(28,161),[], % 2.46/2.85 multiply(inverse(multiply(X10,multiply(X11,inverse(X12)))),multiply(X10,multiply(X11,inverse(multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [258=param(63,161),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(inverse(multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11)))))),X11)),multiply(inverse(X12),X12))) = X10]. % 2.46/2.85 [260=param(70,161),[], % 2.46/2.85 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X12)))]. % 2.46/2.85 [265=param(89,161),[], % 2.46/2.85 multiply(X10,multiply(inverse(X11),X11)) = multiply(X10,multiply(inverse(multiply(X12,X13)),multiply(X12,X13)))]. % 2.46/2.85 [268=param(99,161),[], % 2.46/2.85 multiply(inverse(multiply(X10,multiply(inverse(X11),X11))),multiply(X10,X12)) = multiply(X13,multiply(inverse(multiply(inverse(inverse(multiply(X13,inverse(multiply(X14,multiply(inverse(X14),X14)))))),X14)),X12))]. % 2.46/2.85 [279=param(117,161),[], % 2.46/2.85 multiply(X10,multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X12),X13))) = multiply(X10,multiply(inverse(multiply(X14,X12)),multiply(X14,X13)))]. % 2.46/2.85 [282=param(138,161),[], % 2.46/2.85 inverse(multiply(X10,multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X12),X13)))) = inverse(multiply(X10,multiply(inverse(multiply(X14,X12)),multiply(X14,X13))))]. % 2.46/2.85 [376=param(212,161),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(X11,multiply(inverse(X12),X12))))) = X11]. % 2.46/2.85 [388=param(376,10),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X13))))) = inverse(multiply(inverse(X13),X12))]. % 2.46/2.85 [411=param(376,161),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(X11),X11)))) = inverse(multiply(inverse(X12),X12))]. % 2.46/2.85 [415=param(376,260),[388], % 2.46/2.85 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(X11),X11))]. % 2.46/2.85 [430=param(161,415),[], % 2.46/2.85 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)) = multiply(inverse(X12),X12)]. % 2.46/2.85 [444=param(18,430),[], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) = multiply(inverse(multiply(inverse(multiply(inverse(X13),X14)),X11)),multiply(inverse(multiply(X15,X14)),multiply(X15,X13)))]. % 2.46/2.85 [568=param(17,265),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X13,X14)),X15)),X11)),multiply(inverse(multiply(X16,X15)),multiply(X16,multiply(X13,X14))))]. % 2.46/2.85 [664=param(227,161),[192], % 2.46/2.85 multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(X11),multiply(inverse(inverse(X11)),inverse(X11))))) = X11]. % 2.46/2.85 [676=param(227,411),[227], % 2.46/2.85 multiply(inverse(X10),X10) = multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12)))]. % 2.46/2.85 [724=param(7,676),[192], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [735=demod(444),[724], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(inverse(X11),X12)),X10)),multiply(inverse(multiply(X13,X12)),multiply(X13,X11))) = inverse(multiply(X10,multiply(inverse(X10),X10)))]. % 2.46/2.85 [736=demod(568),[735], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [738=demod(195),[736], % 2.46/2.85 multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X11),inverse(multiply(X12,multiply(inverse(X12),X12)))))),X12)),X10)),X11) = inverse(multiply(X10,multiply(inverse(X10),X10)))]. % 2.46/2.85 [771=param(114,736),[215], % 2.46/2.85 inverse(multiply(inverse(multiply(X11,multiply(X12,X10))),multiply(X11,multiply(X12,multiply(inverse(X13),X13))))) = X10]. % 2.46/2.85 [801=param(101,771),[], % 2.46/2.85 multiply(multiply(X10,multiply(inverse(X11),X11)),multiply(X12,X13)) = multiply(inverse(multiply(X14,inverse(multiply(multiply(X10,X12),multiply(inverse(multiply(X10,X12)),multiply(X10,X12)))))),multiply(X14,X13))]. % 2.46/2.85 [811=param(771,260),[], % 2.46/2.85 multiply(inverse(X10),X10) = inverse(multiply(inverse(X11),X11))]. % 2.46/2.85 [813=param(376,771),[], % 2.46/2.85 inverse(multiply(multiply(inverse(X10),X10),inverse(multiply(X11,multiply(inverse(X12),X12))))) = X11]. % 2.46/2.85 [824=param(3,811),[], % 2.46/2.85 thtop(multiply(inverse(multiply(inverse(X10),X10)),a2),a2) = thmtrue]. % 2.46/2.85 [872=param(227,811),[], % 2.46/2.85 multiply(inverse(multiply(X10,inverse(multiply(inverse(X11),X11)))),multiply(X10,multiply(inverse(inverse(X12)),inverse(multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [883=param(415,811),[], % 2.46/2.85 inverse(inverse(multiply(inverse(X10),X10))) = inverse(multiply(inverse(X11),X11))]. % 2.46/2.85 [884=param(811,430),[], % 2.46/2.85 inverse(multiply(inverse(X10),X10)) = multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X12),X12))]. % 2.46/2.85 [892=param(811,811),[], % 2.46/2.85 inverse(inverse(multiply(inverse(X10),X10))) = multiply(inverse(X11),X11)]. % 2.46/2.85 [901=param(70,811),[], % 2.46/2.85 inverse(multiply(multiply(inverse(X10),X10),multiply(inverse(X11),X12))) = inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))]. % 2.46/2.85 [906=param(117,811),[], % 2.46/2.85 multiply(X10,multiply(multiply(inverse(X11),X11),multiply(inverse(X12),X13))) = multiply(X10,multiply(inverse(multiply(X14,X12)),multiply(X14,X13)))]. % 2.46/2.85 [909=param(161,811),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),multiply(inverse(X11),X11)) = multiply(inverse(X12),X12)]. % 2.46/2.85 [913=param(227,811),[192], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(inverse(inverse(X11)),inverse(X11))))) = X11]. % 2.46/2.85 [940=param(824,811),[], % 2.46/2.85 thtop(multiply(inverse(inverse(multiply(inverse(X10),X10))),a2),a2) = thmtrue]. % 2.46/2.85 [977=param(736,892),[], % 2.46/2.85 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(multiply(inverse(X12),X12),inverse(multiply(inverse(X13),X13))))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [979=param(892,892),[], % 2.46/2.85 inverse(inverse(inverse(inverse(multiply(inverse(X10),X10))))) = multiply(inverse(X11),X11)]. % 2.46/2.85 [1053=param(940,892),[], % 2.46/2.85 thtop(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X10),X10))))),a2),a2) = thmtrue]. % 2.46/2.85 [1176=param(161,883),[], % 2.46/2.85 multiply(inverse(inverse(multiply(inverse(X10),X10))),multiply(inverse(X11),X11)) = multiply(inverse(X12),X12)]. % 2.46/2.85 [1322=param(1053,979),[], % 2.46/2.85 thtop(multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X10),X10))))))))),a2),a2) = thmtrue]. % 2.46/2.85 [1526=param(6,909),[738], % 2.46/2.85 multiply(inverse(multiply(multiply(inverse(X10),X10),X11)),multiply(inverse(X12),X12)) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 2.46/2.85 [1590=param(909,811),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),multiply(inverse(X11),X11)) = inverse(multiply(inverse(X12),X12))]. % 2.46/2.85 [1591=param(811,909),[], % 2.46/2.85 inverse(multiply(multiply(inverse(X10),X10),multiply(inverse(X11),X11))) = multiply(inverse(X12),X12)]. % 2.46/2.85 [1685=param(813,892),[], % 2.46/2.85 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),inverse(multiply(X12,multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [1743=param(227,1591),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),multiply(multiply(inverse(X11),X11),multiply(inverse(inverse(X12)),inverse(multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [1841=param(227,1590),[], % 2.46/2.85 multiply(inverse(inverse(multiply(inverse(X10),X10))),multiply(multiply(inverse(X11),X11),multiply(inverse(inverse(X12)),inverse(multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [2897=param(101,1176),[], % 2.46/2.85 multiply(X10,multiply(inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),multiply(inverse(X12),X12))),X13)) = multiply(inverse(multiply(X14,inverse(multiply(X10,multiply(inverse(X10),X10))))),multiply(X14,X13))]. % 2.46/2.85 [3133=param(227,884),[], % 2.46/2.85 multiply(inverse(inverse(multiply(inverse(X10),X10))),multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(inverse(X12)),inverse(multiply(inverse(X13),X13))))) = X12]. % 2.46/2.85 [3373=param(376,1526),[], % 2.46/2.85 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(inverse(multiply(X11,multiply(inverse(X11),X11)))))) = inverse(multiply(multiply(inverse(X12),X12),X11))]. % 2.46/2.85 [3423=param(913,161),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(inverse(X12),X12)))) = X11]. % 2.46/2.85 [3425=param(3423,7),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),X13)),multiply(inverse(multiply(X11,X12)),X14)))) = multiply(inverse(X14),X13)]. % 2.46/2.85 [3437=param(3423,41),[215], % 2.46/2.85 multiply(multiply(inverse(X10),X10),X11) = multiply(inverse(inverse(multiply(X11,inverse(multiply(X12,multiply(inverse(X12),X12)))))),X12)]. % 2.46/2.85 [3456=param(3423,227),[], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(X11)) = multiply(inverse(multiply(X12,inverse(multiply(inverse(X13),X13)))),multiply(X12,inverse(X11)))]. % 2.46/2.85 [3457=param(227,3423),[977], % 2.46/2.85 inverse(multiply(X10,multiply(inverse(X10),X10))) = multiply(inverse(X10),multiply(inverse(X11),X11))]. % 2.46/2.85 [3478=demod(664),[-3457], % 2.46/2.85 multiply(inverse(multiply(inverse(X10),X10)),inverse(inverse(multiply(X11,multiply(inverse(X11),X11))))) = X11]. % 2.46/2.85 [3479=demod(3373),[3478], % 2.46/2.85 inverse(multiply(multiply(inverse(X11),X11),X10)) = inverse(X10)]. % 2.46/2.85 [3480=demod(901),[3479], % 2.46/2.85 inverse(multiply(inverse(multiply(X12,X10)),multiply(X12,X11))) = inverse(multiply(inverse(X10),X11))]. % 2.46/2.85 [3481=demod(3425),[3480], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X12))) = multiply(inverse(X12),X11)]. % 2.46/2.85 [3484=demod(1685),[3481,3479], % 2.46/2.85 inverse(inverse(multiply(X10,multiply(inverse(X11),X11)))) = X10]. % 2.46/2.85 [3501=demod(3478),[3484], % 2.46/2.85 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11]. % 2.46/2.85 [3557=demod(282),[3501], % 2.46/2.85 inverse(multiply(X10,multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))) = inverse(multiply(X10,multiply(inverse(X11),X12)))]. % 2.46/2.85 [3569=demod(801),[3557], % 2.46/2.85 multiply(multiply(X10,multiply(inverse(X11),X11)),multiply(X12,X13)) = multiply(inverse(multiply(X14,inverse(multiply(multiply(X10,X12),multiply(inverse(X12),X12))))),multiply(X14,X13))]. % 2.46/2.85 [3639=demod(279),[3501], % 2.46/2.85 multiply(X10,multiply(inverse(multiply(X13,X11)),multiply(X13,X12))) = multiply(X10,multiply(inverse(X11),X12))]. % 2.46/2.85 [3648=demod(906),[3639], % 2.46/2.85 multiply(X10,multiply(multiply(inverse(X11),X11),multiply(inverse(X12),X13))) = multiply(X10,multiply(inverse(X12),X13))]. % 2.46/2.85 [3649=demod(1743),[3648], % 2.46/2.85 multiply(multiply(inverse(X10),X10),multiply(inverse(inverse(X11)),inverse(multiply(inverse(X12),X12)))) = X11]. % 2.46/2.85 [3650=demod(1841),[3649], % 2.46/2.85 multiply(inverse(inverse(multiply(inverse(X10),X10))),X11) = X11]. % 2.46/2.85 [3651=demod(2897),[3650,3501], % 2.46/2.85 multiply(inverse(multiply(X12,inverse(multiply(X10,multiply(inverse(X10),X10))))),multiply(X12,X11)) = multiply(X10,X11)]. % 2.46/2.85 [3749=demod(3133),[3501,3650], % 2.46/2.85 multiply(inverse(inverse(X10)),inverse(multiply(inverse(X11),X11))) = X10]. % 2.46/2.85 [3756=demod(872),[3749], % 2.46/2.85 multiply(inverse(multiply(X10,inverse(multiply(inverse(X11),X11)))),multiply(X10,X12)) = X12]. % 2.46/2.85 [3757=demod(3456),[3756], % 2.46/2.85 multiply(multiply(inverse(X10),X10),inverse(X11)) = inverse(X11)]. % 2.46/2.85 [3759=demod(3423),[3757], % 2.46/2.85 inverse(multiply(inverse(X10),multiply(inverse(X11),X11))) = X10]. % 2.46/2.85 [3764=demod(258),[3759], % 2.46/2.85 multiply(inverse(inverse(multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11)))))),X11) = X10]. % 2.46/2.85 [3767=demod(3437),[3764], % 2.46/2.85 multiply(multiply(inverse(X10),X10),X11) = X11]. % 2.46/2.85 [3768=demod(268),[3764], % 2.46/2.85 multiply(inverse(multiply(X10,multiply(inverse(X11),X11))),multiply(X10,X12)) = multiply(X13,multiply(inverse(X13),X12))]. % 2.46/2.85 [3771=demod(3481),[3767], % 2.46/2.85 inverse(multiply(inverse(X10),X11)) = multiply(inverse(X11),X10)]. % 2.46/2.85 [3772=demod(3756),[3771], % 2.46/2.85 multiply(inverse(multiply(X10,multiply(inverse(X11),X11))),multiply(X10,X12)) = X12]. % 2.46/2.85 [3773=demod(3768),[3772], % 2.46/2.85 multiply(X11,multiply(inverse(X11),X10)) = X10]. % 2.46/2.85 [3790=demod(3651),[3773], % 2.46/2.85 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,X12)) = multiply(X11,X12)]. % 2.46/2.85 [3791=demod(3569),[3790], % 2.46/2.85 multiply(multiply(X10,multiply(inverse(X11),X11)),multiply(X12,X13)) = multiply(multiply(multiply(X10,X12),multiply(inverse(X12),X12)),X13)]. % 2.46/2.85 [3795=demod(3457),[3773], % 2.46/2.85 multiply(inverse(X10),multiply(inverse(X11),X11)) = inverse(X10)]. % 2.46/2.85 [3796=demod(3759),[3795], % 2.46/2.85 inverse(inverse(X10)) = X10]. % 2.46/2.85 [3798=demod(3484),[3796], % 2.46/2.85 multiply(X10,multiply(inverse(X11),X11)) = X10]. % 2.46/2.85 [3802=demod(3772),[3798], % 2.46/2.85 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 2.46/2.85 [3810=demod(3791),[3798,3798], % 2.46/2.85 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 2.46/2.85 [3872=param(1322,161),[3771,3771,3771,3771,3771,3771,3771,3771,3810,3802,2], % 2.46/2.85 thmtrue = thmfalse]. % 2.46/2.85 % SZS output end CNFRefutation % 2.46/2.85 Space: 5226 KB %------------------------------------------------------------------------------