%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP442-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n019.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 1.33s 1.71s % Output : CNFRefutation 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP442-1 : TPTP v8.1.0. Released v2.6.0. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.14/0.34 % Computer : n019.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 13 13:10:09 EDT 2022 % 0.14/0.35 % CPUTime : % 1.33/1.71 Theorem Proved. % 1.33/1.71 % SZS status Unsatisfiable % 1.33/1.71 % SZS output start CNFRefutation % 1.33/1.71 [1=axiom,[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,multiply(X10,X11))))))) = X13]. % 1.33/1.71 [3=axiom,[], % 1.33/1.71 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue]. % 1.33/1.71 [4=param(1,1),[], % 1.33/1.71 inverse(multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,X10)))),multiply(multiply(X14,inverse(X14)),X12)))) = X13]. % 1.33/1.71 [5=param(1,4),[], % 1.33/1.71 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,X13)))),multiply(multiply(multiply(X14,inverse(X14)),X11),multiply(multiply(X15,inverse(X15)),X12)))) = X13]. % 1.33/1.71 [6=param(1,1),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,multiply(multiply(multiply(X12,multiply(X13,multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,multiply(X12,X13)))))),X15),inverse(multiply(X16,multiply(X10,X11))))))) = X16]. % 1.33/1.71 [7=param(1,5),[], % 1.33/1.71 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(multiply(multiply(X12,inverse(X12)),X13),multiply(multiply(X14,inverse(X14)),X15)))) = multiply(multiply(X16,inverse(X16)),inverse(multiply(X11,multiply(X13,X15))))]. % 1.33/1.71 [8=param(7,1),[], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,inverse(multiply(X13,multiply(multiply(multiply(X14,inverse(X14)),X11),multiply(multiply(X15,inverse(X15)),X12)))))))) = X13]. % 1.33/1.71 [9=param(7,4),[], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(inverse(multiply(X12,multiply(X13,multiply(multiply(X14,inverse(X14)),X11)))),X12)))) = X13]. % 1.33/1.71 [10=param(7,5),[], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),inverse(multiply(inverse(multiply(X11,multiply(X12,X13))),multiply(X11,X12)))) = X13]. % 1.33/1.71 [11=param(1,7),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(multiply(X12,inverse(X12)),X13),multiply(multiply(multiply(X14,inverse(X14)),X10),multiply(multiply(X15,inverse(X15)),X11))))))) = X13]. % 1.33/1.71 [12=param(1,10),[], % 1.33/1.71 inverse(multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(inverse(multiply(X11,multiply(X12,X13))),multiply(X11,X12))),multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,X13)))))) = X15]. % 1.33/1.71 [15=param(1,9),[], % 1.33/1.71 inverse(multiply(inverse(multiply(X10,multiply(X11,multiply(multiply(X12,inverse(X12)),X13)))),multiply(X10,X11))) = X13]. % 1.33/1.71 [17=param(9,7),[], % 1.33/1.71 inverse(multiply(multiply(multiply(X11,inverse(X11)),X12),multiply(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,multiply(X10,multiply(multiply(X15,inverse(X15)),X12))))),multiply(multiply(X16,inverse(X16)),X14)))) = X10]. % 1.33/1.71 [20=param(1,15),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,multiply(multiply(X12,inverse(X12)),X13)))) = inverse(multiply(X10,multiply(X11,multiply(multiply(X14,inverse(X14)),X13))))]. % 1.33/1.71 [29=param(12,10),[], % 1.33/1.71 inverse(multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(inverse(multiply(X11,multiply(X12,multiply(X13,X14)))),multiply(X11,X12))),X15))) = inverse(multiply(X13,multiply(X14,X15)))]. % 1.33/1.71 [34=param(1,29),[], % 1.33/1.71 inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,multiply(X12,X13)))),multiply(X10,X11))),multiply(X14,multiply(multiply(X15,inverse(X15)),inverse(multiply(X12,multiply(X13,X14))))))) = multiply(X16,inverse(X16))]. % 1.33/1.71 [35=param(29,4),[1], % 1.33/1.71 inverse(multiply(multiply(X10,inverse(X10)),multiply(X11,X12))) = inverse(multiply(multiply(X13,inverse(X13)),multiply(X11,X12)))]. % 1.33/1.71 [40=param(35,1),[], % 1.33/1.71 inverse(multiply(multiply(multiply(X10,multiply(X11,multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,multiply(X10,X11)))))),X13),multiply(X14,X15))) = inverse(multiply(multiply(X16,inverse(X16)),multiply(X14,X15)))]. % 1.33/1.71 [42=param(1,35),[1], % 1.33/1.71 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 1.33/1.71 [44=param(35,8),[8], % 1.33/1.71 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(multiply(multiply(X12,inverse(X12)),X11))]. % 1.33/1.71 [45=param(11,35),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(X12,inverse(X12)),multiply(multiply(multiply(X13,inverse(X13)),X10),multiply(multiply(X14,inverse(X14)),X11))))))) = inverse(multiply(X15,inverse(X15)))]. % 1.33/1.71 [51=param(1,42),[], % 1.33/1.71 inverse(multiply(X10,multiply(inverse(X10),multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,inverse(X13)))))))) = X12]. % 1.33/1.71 [54=param(6,42),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,multiply(X12,inverse(X12))))) = multiply(X13,multiply(X14,multiply(multiply(X15,inverse(X15)),inverse(multiply(multiply(X10,X11),multiply(X13,X14))))))]. % 1.33/1.71 [59=param(15,42),[], % 1.33/1.71 inverse(multiply(inverse(multiply(X10,multiply(inverse(X10),multiply(multiply(X11,inverse(X11)),X12)))),multiply(X13,inverse(X13)))) = X12]. % 1.33/1.71 [63=param(29,42),[29], % 1.33/1.71 inverse(multiply(X10,multiply(inverse(X10),X11))) = inverse(multiply(X12,multiply(inverse(X12),X11)))]. % 1.33/1.71 [68=param(1,63),[], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(X11,multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,multiply(inverse(X13),X11))))))) = X10]. % 1.33/1.71 [82=param(63,42),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,inverse(X11)))) = inverse(multiply(X12,multiply(inverse(X12),inverse(inverse(X10)))))]. % 1.33/1.71 [95=param(44,42),[], % 1.33/1.71 inverse(multiply(X10,inverse(X10))) = inverse(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,inverse(X12)))))]. % 1.33/1.71 [114=param(1,17),[5], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(X12,inverse(X12)),X11)]. % 1.33/1.71 [123=param(114,42),[], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,inverse(X11)))) = multiply(X12,inverse(X12))]. % 1.33/1.71 [124=param(1,123),[], % 1.33/1.71 inverse(multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,multiply(X14,inverse(X14)))))))) = X13]. % 1.33/1.71 [151=param(1,82),[], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(inverse(inverse(X11)),multiply(multiply(X12,inverse(X12)),inverse(multiply(X11,multiply(X13,inverse(X13)))))))) = X10]. % 1.33/1.71 [164=param(68,1),[], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,inverse(X13))))),multiply(multiply(X14,inverse(X14)),X12)))) = X10]. % 1.33/1.71 [169=param(68,15),[], % 1.33/1.71 multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(inverse(X12),X10)))),multiply(multiply(X13,inverse(X13)),X14))) = X14]. % 1.33/1.71 [275=param(151,10),[], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(inverse(inverse(inverse(multiply(X11,multiply(inverse(X11),X12))))),X12))) = X10]. % 1.33/1.71 [288=param(275,15),[], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(X10,multiply(inverse(X10),X11))))),multiply(X11,multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [313=param(288,42),[], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(X10,multiply(X11,inverse(X11)))))),multiply(inverse(inverse(X10)),multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [314=param(288,42),[], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(X10,multiply(inverse(X10),X11))))),multiply(X11,multiply(X12,inverse(X12)))) = inverse(multiply(X13,inverse(X13)))]. % 1.33/1.71 [404=param(34,51),[164], % 1.33/1.71 multiply(inverse(multiply(X10,multiply(X11,multiply(X12,inverse(X12))))),multiply(X10,X11)) = multiply(X13,inverse(X13))]. % 1.33/1.71 [409=param(404,10),[], % 1.33/1.71 multiply(inverse(multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(inverse(multiply(X11,multiply(X12,X13))),multiply(X11,X12))),multiply(X14,inverse(X14))))),X13) = multiply(X15,inverse(X15))]. % 1.33/1.71 [412=param(15,404),[], % 1.33/1.71 inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,multiply(X12,inverse(X12))))),multiply(multiply(X10,X11),multiply(multiply(X13,inverse(X13)),X14)))),multiply(X15,inverse(X15)))) = X14]. % 1.33/1.71 [448=param(288,404),[], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(multiply(X10,multiply(X11,multiply(X12,inverse(X12)))),multiply(X13,inverse(X13)))))),multiply(multiply(X10,X11),multiply(multiply(X14,inverse(X14)),X15))) = X15]. % 1.33/1.71 [459=param(1,404),[], % 1.33/1.71 inverse(multiply(X10,multiply(inverse(X10),multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(inverse(multiply(X13,multiply(X14,multiply(X15,inverse(X15))))),multiply(X13,X14)))))))) = X12]. % 1.33/1.71 [473=param(82,404),[], % 1.33/1.71 inverse(multiply(X10,multiply(inverse(multiply(X11,multiply(X12,multiply(X13,inverse(X13))))),multiply(X11,X12)))) = inverse(multiply(X10,multiply(X14,inverse(X14))))]. % 1.33/1.71 [593=param(20,314),[288], % 1.33/1.71 inverse(inverse(multiply(X10,inverse(X10)))) = inverse(inverse(multiply(X11,inverse(X11))))]. % 1.33/1.71 [641=param(7,169),[], % 1.33/1.71 multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(inverse(multiply(X13,multiply(inverse(X13),multiply(multiply(X14,inverse(X14)),X12)))),X10)))) = inverse(X10)]. % 1.33/1.71 [677=param(1,40),[1], % 1.33/1.71 multiply(X10,inverse(X10)) = multiply(multiply(X11,multiply(X12,multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,multiply(X11,X12)))))),X14)]. % 1.33/1.71 [695=param(82,677),[1], % 1.33/1.71 inverse(multiply(X10,inverse(X10))) = inverse(multiply(X11,multiply(inverse(X11),inverse(multiply(X12,inverse(X12))))))]. % 1.33/1.71 [696=param(151,677),[1], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(inverse(multiply(X11,inverse(X11))),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13))))))) = X10]. % 1.33/1.71 [698=param(313,677),[1], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(X10,inverse(X10))))),multiply(inverse(multiply(X11,inverse(X11))),multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [762=param(45,114),[], % 1.33/1.71 inverse(multiply(inverse(multiply(X10,inverse(X10))),multiply(X11,inverse(multiply(multiply(X12,inverse(X12)),multiply(multiply(X13,inverse(X13)),multiply(multiply(X14,inverse(X14)),X11))))))) = inverse(multiply(X15,inverse(X15)))]. % 1.33/1.71 [776=param(696,42),[], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(inverse(multiply(X11,inverse(X11))),multiply(X12,inverse(X12))))) = X10]. % 1.33/1.71 [868=param(776,15),[], % 1.33/1.71 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [889=param(1,868),[], % 1.33/1.71 inverse(inverse(multiply(X10,multiply(inverse(multiply(X11,inverse(X11))),multiply(X12,inverse(X12)))))) = X10]. % 1.33/1.71 [968=param(868,593),[], % 1.33/1.71 multiply(inverse(multiply(inverse(multiply(X10,inverse(X10))),inverse(inverse(multiply(X11,inverse(X11)))))),multiply(multiply(X12,inverse(X12)),multiply(multiply(X13,inverse(X13)),X14))) = X14]. % 1.33/1.71 [978=param(698,868),[], % 1.33/1.71 multiply(inverse(inverse(inverse(multiply(X10,inverse(X10))))),X11) = multiply(multiply(X12,inverse(X12)),X11)]. % 1.33/1.71 [1108=param(978,698),[], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [1109=demod(124),[1108], % 1.33/1.71 inverse(inverse(multiply(X10,multiply(X11,inverse(X11))))) = X10]. % 1.33/1.71 [1125=demod(448),[1109], % 1.33/1.71 multiply(inverse(multiply(X10,multiply(X11,multiply(X12,inverse(X12))))),multiply(multiply(X10,X11),multiply(multiply(X13,inverse(X13)),X14))) = X14]. % 1.33/1.71 [1126=demod(412),[1125], % 1.33/1.71 inverse(multiply(inverse(X10),multiply(X11,inverse(X11)))) = X10]. % 1.33/1.71 [1127=demod(59),[1126], % 1.33/1.71 multiply(X10,multiply(inverse(X10),multiply(multiply(X11,inverse(X11)),X12))) = X12]. % 1.33/1.71 [1152=demod(459),[1127], % 1.33/1.71 inverse(inverse(multiply(X10,multiply(inverse(multiply(X11,multiply(X12,multiply(X13,inverse(X13))))),multiply(X11,X12))))) = X10]. % 1.33/1.71 [1159=demod(641),[1127], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(inverse(X11),X12)))) = inverse(X12)]. % 1.33/1.71 [1405=param(1126,695),[1159], % 1.33/1.71 inverse(multiply(inverse(X10),inverse(inverse(multiply(X11,inverse(X11)))))) = X10]. % 1.33/1.71 [1407=demod(968),[1405], % 1.33/1.71 multiply(multiply(X10,inverse(X10)),multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))) = X13]. % 1.33/1.71 [1408=demod(762),[1407,1126], % 1.33/1.71 multiply(X10,inverse(X10)) = inverse(multiply(X11,inverse(X11)))]. % 1.33/1.71 [1428=param(1126,1126),[], % 1.33/1.71 inverse(multiply(X10,multiply(X11,inverse(X11)))) = multiply(inverse(X10),multiply(X12,inverse(X12)))]. % 1.33/1.71 [1491=param(1,1408),[1127], % 1.33/1.71 inverse(inverse(multiply(X10,inverse(multiply(X11,inverse(X11)))))) = X10]. % 1.33/1.71 [1710=param(1491,95),[], % 1.33/1.71 inverse(inverse(multiply(X10,inverse(multiply(multiply(X11,inverse(X11)),inverse(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13)))))))))) = X10]. % 1.33/1.71 [1960=param(1,54),[], % 1.33/1.71 inverse(inverse(multiply(X10,multiply(X11,multiply(X12,inverse(X12)))))) = multiply(X10,X11)]. % 1.33/1.71 [1964=demod(889),[1960], % 1.33/1.71 multiply(X10,inverse(multiply(X11,inverse(X11)))) = X10]. % 1.33/1.71 [1965=demod(1710),[1964,1964,1964], % 1.33/1.71 inverse(inverse(X10)) = X10]. % 1.33/1.71 [1967=demod(1152),[1965], % 1.33/1.71 multiply(X10,multiply(inverse(multiply(X11,multiply(X12,multiply(X13,inverse(X13))))),multiply(X11,X12))) = X10]. % 1.33/1.71 [1968=demod(473),[1967], % 1.33/1.71 inverse(multiply(X10,multiply(X11,inverse(X11)))) = inverse(X10)]. % 1.33/1.71 [1992=demod(1428),[1968], % 1.33/1.71 multiply(inverse(X10),multiply(X11,inverse(X11))) = inverse(X10)]. % 1.33/1.71 [1997=demod(409),[1992,10], % 1.33/1.71 multiply(inverse(X10),X10) = multiply(X11,inverse(X11))]. % 1.33/1.71 [2149=param(3,1997),[], % 1.33/1.71 thtop(multiply(inverse(a1),a1),multiply(X10,inverse(X10))) = thmtrue]. % 1.33/1.71 [2154=param(2149,1997),[], % 1.33/1.71 thtop(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))) = thmtrue]. % 1.33/1.71 % SZS output end CNFRefutation % 1.33/1.71 Space: 2751 KB %------------------------------------------------------------------------------