%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n003.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 09:14:01 EDT 2022 % Result : Unsatisfiable 0.81s 1.19s % Output : CNFRefutation 0.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n003.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 13 21:49:09 EDT 2022 % 0.13/0.34 % CPUTime : % 0.81/1.19 Theorem Proved. % 0.81/1.19 % SZS status Unsatisfiable % 0.81/1.19 % SZS output start CNFRefutation % 0.81/1.19 [1=axiom,[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),multiply(X13,inverse(X13)))) = X12]. % 0.81/1.19 [2=axiom,[], % 0.81/1.19 thtop(X10,X10) = thmfalse]. % 0.81/1.19 [3=axiom,[], % 0.81/1.19 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.81/1.19 [4=param(1,1),[], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13)))) = multiply(X14,inverse(X14))]. % 0.81/1.19 [5=param(1,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,multiply(inverse(multiply(multiply(X12,X13),X11)),X12))),X13),multiply(X14,inverse(X14)))) = multiply(X15,inverse(X15))]. % 0.81/1.19 [7=param(1,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),inverse(multiply(multiply(multiply(X13,multiply(inverse(multiply(multiply(X14,X15),X13)),X14)),X15),multiply(X16,inverse(X16)))))) = X12]. % 0.81/1.19 [9=param(1,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13))))),X14),X15),multiply(X16,inverse(X16)))) = inverse(multiply(X14,X15))]. % 0.81/1.19 [10=param(1,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13)))),X14)),X15),inverse(X15)),multiply(X16,inverse(X16)))) = X14]. % 0.81/1.19 [12=param(9,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),multiply(X13,inverse(X13)))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [14=param(1,12),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X12,inverse(X12))),X10)),X11),multiply(X13,inverse(X13)))) = multiply(X14,inverse(X14))]. % 0.81/1.19 [16=param(12,4),[], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)) = multiply(X13,inverse(X13))]. % 0.81/1.19 [18=param(7,12),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = X12]. % 0.81/1.19 [21=param(10,4),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,inverse(X10)),X11)),X12),inverse(X12)),multiply(X13,inverse(X13)))) = X11]. % 0.81/1.19 [27=param(21,4),[9], % 0.81/1.19 inverse(multiply(X10,inverse(X10))) = inverse(multiply(X11,inverse(X11)))]. % 0.81/1.19 [33=param(1,27),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))) = X12]. % 0.81/1.19 [38=param(12,27),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [40=param(1,16),[], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,X12),inverse(multiply(X13,inverse(X13)))))),X11),multiply(X14,inverse(X14)))) = X12]. % 0.81/1.19 [47=param(12,16),[], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)),X13),multiply(X14,inverse(X14)))) = inverse(multiply(inverse(inverse(multiply(X15,inverse(X15)))),X13))]. % 0.81/1.19 [62=param(14,4),[], % 0.81/1.19 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 0.81/1.19 [64=param(14,12),[], % 0.81/1.19 multiply(X10,inverse(X10)) = inverse(multiply(multiply(inverse(multiply(X11,inverse(X11))),X12),inverse(X12)))]. % 0.81/1.19 [65=param(14,21),[], % 0.81/1.19 multiply(X10,inverse(X10)) = inverse(multiply(inverse(multiply(X11,inverse(X11))),multiply(X12,inverse(X12))))]. % 0.81/1.19 [69=param(12,62),[], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12)))) = inverse(multiply(inverse(inverse(multiply(X13,inverse(X13)))),X11))]. % 0.81/1.19 [72=param(21,62),[], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(multiply(multiply(X11,inverse(X11)),X12))))),multiply(X13,inverse(X13)))) = X12]. % 0.81/1.19 [74=param(38,62),[], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13)))))) = inverse(multiply(inverse(inverse(multiply(X14,inverse(X14)))),X11))]. % 0.81/1.19 [80=param(5,65),[], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,multiply(inverse(multiply(multiply(X12,X13),X11)),X12))),X13),inverse(multiply(inverse(multiply(X14,inverse(X14))),multiply(X15,inverse(X15)))))) = multiply(X16,inverse(X16))]. % 0.81/1.19 [84=param(12,65),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),inverse(multiply(inverse(multiply(X13,inverse(X13))),multiply(X14,inverse(X14)))))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [92=param(33,65),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,inverse(X10))),multiply(X11,inverse(X11)))),X12)),X13),inverse(X13)),multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,inverse(X15)))))) = X12]. % 0.81/1.19 [107=param(12,64),[], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12),multiply(X13,inverse(X13)))) = inverse(multiply(inverse(inverse(multiply(X14,inverse(X14)))),X12))]. % 0.81/1.19 [116=param(33,64),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12)),X13),inverse(X13)),multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,inverse(X15)))))) = X12]. % 0.81/1.19 [120=param(1,64),[], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,inverse(X11)))),X12),multiply(X13,inverse(X13)))) = inverse(X12)]. % 0.81/1.19 [150=param(120,16),[], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)),X13),multiply(X14,inverse(X14)))) = inverse(X13)]. % 0.81/1.19 [151=demod(47),[150], % 0.81/1.19 inverse(multiply(inverse(inverse(multiply(X11,inverse(X11)))),X10)) = inverse(X10)]. % 0.81/1.19 [154=demod(69),[151], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12)))) = inverse(X11)]. % 0.81/1.19 [155=demod(72),[154], % 0.81/1.19 inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),X11))))) = X11]. % 0.81/1.19 [157=demod(74),[151], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13)))))) = inverse(X11)]. % 0.81/1.19 [158=demod(107),[151], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12),multiply(X13,inverse(X13)))) = inverse(X12)]. % 0.81/1.19 [160=param(120,16),[], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,inverse(X11)))),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(X12)]. % 0.81/1.19 [195=param(151,27),[], % 0.81/1.19 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))]. % 0.81/1.19 [236=param(18,195),[], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))),X11),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [295=param(154,62),[], % 0.81/1.19 inverse(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11)))) = inverse(inverse(multiply(X12,inverse(X12))))]. % 0.81/1.19 [297=param(154,64),[], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),inverse(multiply(multiply(inverse(multiply(X12,inverse(X12))),X13),inverse(X13))))) = inverse(X11)]. % 0.81/1.19 [377=param(151,295),[], % 0.81/1.19 inverse(multiply(inverse(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11)))),X12)) = inverse(X12)]. % 0.81/1.19 [436=param(151,377),[155], % 0.81/1.19 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(X11)]. % 0.81/1.19 [448=demod(155),[436], % 0.81/1.19 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.81/1.19 [457=demod(236),[448], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),X11),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [458=demod(160),[457], % 0.81/1.19 inverse(multiply(inverse(multiply(X10,inverse(X10))),X11)) = inverse(X11)]. % 0.81/1.19 [470=demod(84),[458], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),inverse(multiply(X13,inverse(X13))))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [477=demod(80),[458], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,multiply(inverse(multiply(multiply(X12,X13),X11)),X12))),X13),inverse(multiply(X14,inverse(X14))))) = multiply(X15,inverse(X15))]. % 0.81/1.19 [485=demod(92),[458,458], % 0.81/1.19 inverse(multiply(multiply(multiply(inverse(X10),X11),inverse(X11)),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13)))))) = X10]. % 0.81/1.19 [486=demod(116),[485], % 0.81/1.19 multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12) = X12]. % 0.81/1.19 [488=demod(158),[486], % 0.81/1.19 inverse(multiply(X10,multiply(X11,inverse(X11)))) = inverse(X10)]. % 0.81/1.19 [489=demod(1),[488], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11)) = X12]. % 0.81/1.19 [494=demod(457),[489], % 0.81/1.19 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),X11),X12),inverse(multiply(X13,inverse(X13))))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [495=demod(477),[494], % 0.81/1.19 inverse(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12)) = multiply(X13,inverse(X13))]. % 0.81/1.19 [503=demod(40),[488], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,X12),inverse(multiply(X13,inverse(X13)))))),X11)) = X12]. % 0.81/1.19 [508=demod(12),[488], % 0.81/1.19 inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12)) = inverse(multiply(X11,X12))]. % 0.81/1.19 [509=demod(486),[508], % 0.81/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = X11]. % 0.81/1.19 [517=demod(470),[509], % 0.81/1.19 inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))) = inverse(multiply(X10,X11))]. % 0.81/1.19 [518=demod(494),[517], % 0.81/1.19 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),X12)) = inverse(multiply(X11,X12))]. % 0.81/1.19 [519=demod(157),[518], % 0.81/1.19 inverse(multiply(X10,multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,inverse(X12)))))) = inverse(X10)]. % 0.81/1.19 [520=demod(485),[519], % 0.81/1.19 inverse(multiply(multiply(inverse(X10),X11),inverse(X11))) = X10]. % 0.81/1.19 [532=demod(503),[517,518], % 0.81/1.19 inverse(multiply(inverse(multiply(X10,X11)),X10)) = X11]. % 0.81/1.19 [547=demod(297),[509,518], % 0.81/1.19 inverse(multiply(X10,inverse(multiply(X11,inverse(X11))))) = inverse(X10)]. % 0.81/1.19 [615=param(448,151),[448], % 0.81/1.19 multiply(inverse(inverse(multiply(X11,inverse(X11)))),X10) = X10]. % 0.81/1.19 [617=param(448,532),[], % 0.81/1.19 multiply(inverse(multiply(X11,X10)),X11) = inverse(inverse(inverse(X10)))]. % 0.81/1.19 [641=param(617,617),[448], % 0.81/1.19 multiply(X10,inverse(multiply(X11,X10))) = inverse(inverse(inverse(X11)))]. % 0.81/1.19 [644=param(641,509),[547], % 0.81/1.19 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.81/1.19 [656=demod(617),[644], % 0.81/1.19 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.81/1.19 [660=demod(448),[644], % 0.81/1.19 inverse(inverse(X10)) = X10]. % 0.81/1.19 [673=demod(615),[660], % 0.81/1.19 multiply(multiply(X10,inverse(X10)),X11) = X11]. % 0.81/1.19 [717=param(656,495),[673], % 0.81/1.19 multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)) = inverse(X12)]. % 0.81/1.19 [722=param(520,656),[], % 0.81/1.19 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)]. % 0.81/1.19 [724=demod(717),[-722,660], % 0.81/1.19 multiply(X10,inverse(multiply(inverse(X11),multiply(multiply(X11,X12),X10)))) = inverse(X12)]. % 0.81/1.19 [726=demod(656),[-722,660], % 0.81/1.19 inverse(multiply(inverse(X10),multiply(X10,X11))) = inverse(X11)]. % 0.81/1.19 [729=param(660,726),[660], % 0.81/1.19 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.81/1.19 [759=param(3,722),[], % 0.81/1.19 thtop(inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.81/1.19 [798=param(724,729),[660], % 0.81/1.19 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 0.81/1.19 [805=param(729,798),[], % 0.81/1.19 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))]. % 0.81/1.19 [877=param(759,805),[660,2], % 0.81/1.19 thmtrue = thmfalse]. % 0.81/1.19 % SZS output end CNFRefutation % 0.81/1.19 Space: 831 KB %------------------------------------------------------------------------------