%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP414-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n024.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 09:13:56 EDT 2022 % Result : Unsatisfiable 1.01s 1.41s % Output : CNFRefutation 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : GRP414-1 : TPTP v8.1.0. Released v2.6.0. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.12/0.35 % Computer : n024.cluster.edu % 0.12/0.35 % Model : x86_64 x86_64 % 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.35 % Memory : 8042.1875MB % 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.35 % CPULimit : 300 % 0.12/0.35 % WCLimit : 600 % 0.12/0.35 % DateTime : Tue Jun 14 13:22:48 EDT 2022 % 0.12/0.35 % CPUTime : % 1.01/1.41 Theorem Proved. % 1.01/1.41 % SZS status Unsatisfiable % 1.01/1.41 % SZS output start CNFRefutation % 1.01/1.41 [1=axiom,[], % 1.01/1.41 multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X10,inverse(X11))),X12))),X11))) = X12]. % 1.01/1.41 [2=axiom,[], % 1.01/1.41 thtop(X10,X10) = thmfalse]. % 1.01/1.41 [3=axiom,[], % 1.01/1.41 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 1.01/1.41 [4=param(1,1),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X13),X13),inverse(multiply(inverse(multiply(inverse(multiply(X10,inverse(X11))),inverse(X13))),X12))),X13)) = multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(X12)),X11)))]. % 1.01/1.41 [5=param(1,4),[], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(X12)),X11)))) = X12]. % 1.01/1.41 [6=param(5,1),[], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,X11)))) = multiply(multiply(multiply(inverse(X13),X13),inverse(multiply(inverse(multiply(multiply(inverse(X11),X11),inverse(X13))),X12))),X13)]. % 1.01/1.41 [7=param(5,4),[], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,multiply(X12,inverse(multiply(multiply(multiply(inverse(X13),X13),inverse(X14)),X13))))) = multiply(inverse(multiply(inverse(multiply(X12,inverse(X13))),inverse(X11))),X14)]. % 1.01/1.41 [8=param(6,5),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(multiply(inverse(X11),X11),inverse(X10))),multiply(multiply(inverse(X11),X11),inverse(X12))))),X10) = X12]. % 1.01/1.41 [9=param(1,6),[], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(multiply(X12,X10)))))) = X12]. % 1.01/1.41 [11=param(5,9),[], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,X11)))) = multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(multiply(X12,X11))))]. % 1.01/1.41 [12=param(7,1),[], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,X12)) = multiply(inverse(multiply(inverse(multiply(X13,inverse(X14))),inverse(X11))),multiply(inverse(multiply(X13,inverse(X14))),X12))]. % 1.01/1.41 [14=param(11,8),[8], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X12))) = multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(X12)))]. % 1.01/1.41 [17=param(1,14),[], % 1.01/1.41 multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X12,inverse(X11))),multiply(X12,inverse(X13))))),X11))) = multiply(X10,inverse(X13))]. % 1.01/1.41 [19=param(1,17),[1], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X12,inverse(X11))),multiply(X12,inverse(X10))))),X11)) = inverse(X10)]. % 1.01/1.41 [20=param(19,1),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X10))),X12))),X10)) = inverse(multiply(multiply(multiply(inverse(X13),X13),inverse(multiply(inverse(multiply(X11,inverse(X13))),X12))),X13))]. % 1.01/1.41 [21=param(5,19),[5], % 1.01/1.41 multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X12,inverse(X11))),multiply(X12,inverse(X10))))),X11) = X10]. % 1.01/1.41 [23=param(12,7),[1], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,X12)) = multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,X12))]. % 1.01/1.41 [24=param(1,23),[], % 1.01/1.41 multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X12,inverse(X11))),multiply(X12,X13)))),X11))) = multiply(X10,X13)]. % 1.01/1.41 [30=param(23,21),[], % 1.01/1.41 multiply(inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(X12))))),inverse(X13))),X12) = multiply(inverse(multiply(X14,inverse(X13))),multiply(X14,X10))]. % 1.01/1.41 [31=param(1,24),[1], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(X12,inverse(X11))),multiply(X12,X10)))),X11)) = X10]. % 1.01/1.41 [33=param(31,6),[], % 1.01/1.41 inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(multiply(multiply(inverse(X11),X11),X12),X11))))) = X12]. % 1.01/1.41 [40=param(33,21),[], % 1.01/1.41 inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X12)))) = inverse(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(X12))))]. % 1.01/1.41 [41=param(33,31),[], % 1.01/1.41 inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,X12))) = inverse(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,X12)))]. % 1.01/1.41 [50=param(31,30),[21], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(multiply(X12,inverse(X13))))),multiply(X11,X14)))),multiply(X12,inverse(X13)))) = X14]. % 1.01/1.41 [51=param(50,1),[1], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,X13)))),X12)) = X13]. % 1.01/1.41 [52=param(51,1),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(X12,X13)))),multiply(multiply(multiply(inverse(X14),X14),inverse(multiply(inverse(multiply(X12,inverse(X14))),X11))),X14))) = X13]. % 1.01/1.41 [63=param(51,33),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),X11),X12)) = inverse(multiply(multiply(multiply(inverse(X12),X12),X11),X12))]. % 1.01/1.41 [67=param(5,63),[5], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),X11),X10) = multiply(multiply(multiply(inverse(X12),X12),X11),X10)]. % 1.01/1.41 [69=param(9,63),[33], % 1.01/1.41 multiply(multiply(inverse(X10),X10),X11) = multiply(multiply(inverse(X12),X12),X11)]. % 1.01/1.41 [79=param(33,63),[], % 1.01/1.41 inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(multiply(multiply(inverse(X12),X12),X13),X11))))) = X13]. % 1.01/1.41 [81=param(69,9),[], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,inverse(multiply(X13,X12)))))) = X13]. % 1.01/1.41 [84=param(21,69),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,inverse(X13))))),X12) = X13]. % 1.01/1.41 [90=param(67,6),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(multiply(inverse(X11),X11),inverse(X12))),X13))),X12) = multiply(inverse(multiply(X14,inverse(X11))),multiply(X14,inverse(multiply(X13,X11))))]. % 1.01/1.41 [109=param(81,6),[], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(multiply(multiply(inverse(X12),X12),inverse(X11))),X13))),X11))) = X13]. % 1.01/1.41 [121=param(81,69),[81], % 1.01/1.41 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)]. % 1.01/1.41 [122=param(81,81),[], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(multiply(inverse(X12),X12),inverse(multiply(X13,multiply(inverse(multiply(X14,inverse(X15))),multiply(X14,inverse(multiply(X11,X15)))))))))) = X13]. % 1.01/1.41 [126=param(84,81),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(multiply(inverse(X12),X12),inverse(X13))))),multiply(inverse(multiply(X14,inverse(X15))),multiply(X14,inverse(multiply(X11,X15))))) = X13]. % 1.01/1.41 [127=param(84,81),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(multiply(inverse(X11),X11),inverse(X12))),X13))),X12) = multiply(inverse(multiply(X14,inverse(X15))),multiply(X14,inverse(multiply(X13,X15))))]. % 1.01/1.41 [144=param(40,121),[], % 1.01/1.41 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,inverse(X12))))]. % 1.01/1.41 [147=param(41,121),[], % 1.01/1.41 inverse(multiply(inverse(multiply(inverse(X10),inverse(X11))),multiply(inverse(X12),X12))) = inverse(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,X10)))]. % 1.01/1.41 [152=param(51,121),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(inverse(X11),inverse(X12))),multiply(inverse(X13),X13)))),X12)) = X11]. % 1.01/1.41 [158=param(84,121),[], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),X12) = X12]. % 1.01/1.41 [162=param(6,158),[158], % 1.01/1.41 multiply(multiply(multiply(inverse(X12),X12),inverse(multiply(inverse(multiply(multiply(inverse(X10),X10),inverse(X12))),X11))),X12) = multiply(inverse(inverse(X10)),inverse(multiply(X11,X10)))]. % 1.01/1.41 [163=demod(109),[162], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(inverse(X11)),inverse(multiply(X12,X11))))) = X12]. % 1.01/1.41 [164=demod(6),[162], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,X11)))) = multiply(inverse(inverse(X11)),inverse(multiply(X12,X11)))]. % 1.01/1.41 [166=demod(79),[164], % 1.01/1.41 inverse(multiply(inverse(inverse(X10)),inverse(multiply(multiply(multiply(inverse(X11),X11),X12),X10)))) = X12]. % 1.01/1.41 [170=demod(90),[164], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(multiply(inverse(X11),X11),inverse(X12))),X13))),X12) = multiply(inverse(inverse(X11)),inverse(multiply(X13,X11)))]. % 1.01/1.41 [173=demod(127),[170,164], % 1.01/1.41 multiply(inverse(inverse(X10)),inverse(multiply(X11,X10))) = multiply(inverse(inverse(X12)),inverse(multiply(X11,X12)))]. % 1.01/1.41 [176=demod(126),[164], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(multiply(inverse(X12),X12),inverse(X13))))),multiply(inverse(inverse(X14)),inverse(multiply(X11,X14)))) = X13]. % 1.01/1.41 [177=demod(122),[164], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),multiply(multiply(inverse(X12),X12),inverse(multiply(X13,multiply(inverse(inverse(X14)),inverse(multiply(X11,X14))))))))) = X13]. % 1.01/1.41 [181=param(12,158),[158], % 1.01/1.41 multiply(inverse(multiply(inverse(multiply(X12,inverse(X13))),inverse(X10))),multiply(inverse(multiply(X12,inverse(X13))),X11)) = multiply(inverse(inverse(X10)),X11)]. % 1.01/1.41 [182=demod(12),[181], % 1.01/1.41 multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,X12)) = multiply(inverse(inverse(X11)),X12)]. % 1.01/1.41 [194=demod(147),[182], % 1.01/1.41 inverse(multiply(inverse(multiply(inverse(X10),inverse(X11))),multiply(inverse(X12),X12))) = inverse(multiply(inverse(inverse(X11)),X10))]. % 1.01/1.41 [195=demod(152),[194], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(inverse(X11)),X12))),X11)) = X12]. % 1.01/1.41 [200=demod(144),[182], % 1.01/1.41 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(inverse(X11)),inverse(X11)))]. % 1.01/1.41 [226=param(182,52),[52], % 1.01/1.41 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(X11),X12)]. % 1.01/1.41 [233=param(226,121),[], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X12)) = multiply(inverse(X11),X12)]. % 1.01/1.41 [234=param(226,121),[], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) = multiply(inverse(X11),X10)]. % 1.01/1.41 [242=param(226,234),[], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(multiply(inverse(X11),X10)),X12)) = multiply(inverse(multiply(inverse(X13),X13)),X12)]. % 1.01/1.41 [245=param(233,52),[52], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X10)),multiply(X11,X12)) = multiply(X11,X12)]. % 1.01/1.41 [250=param(245,158),[158], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11]. % 1.01/1.41 [252=demod(242),[250], % 1.01/1.41 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(multiply(inverse(X11),X10)),X12)) = X12]. % 1.01/1.41 [261=param(252,200),[250], % 1.01/1.41 multiply(inverse(X10),multiply(inverse(multiply(inverse(X10),multiply(inverse(X11),X11))),X12)) = X12]. % 1.01/1.41 [263=param(261,52),[52], % 1.01/1.41 multiply(X10,multiply(inverse(multiply(X10,multiply(inverse(X11),X11))),X12)) = X12]. % 1.01/1.41 [282=param(263,121),[], % 1.01/1.41 multiply(X10,multiply(inverse(X11),X11)) = multiply(X10,multiply(inverse(X12),X12))]. % 1.01/1.41 [320=param(195,282),[], % 1.01/1.41 inverse(multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),X12))),multiply(inverse(X13),X13))) = X12]. % 1.01/1.41 [366=param(226,166),[], % 1.01/1.41 multiply(inverse(inverse(multiply(multiply(multiply(inverse(X13),X13),X10),X11))),X12) = multiply(X10,multiply(inverse(inverse(X11)),X12))]. % 1.01/1.41 [508=param(234,173),[234], % 1.01/1.41 multiply(inverse(inverse(multiply(X10,X11))),inverse(X11)) = multiply(inverse(inverse(multiply(X10,X12))),inverse(X12))]. % 1.01/1.41 [550=param(508,166),[], % 1.01/1.41 multiply(inverse(X10),inverse(inverse(multiply(multiply(multiply(inverse(X11),X11),X10),X12)))) = multiply(inverse(inverse(multiply(inverse(inverse(X12)),X13))),inverse(X13))]. % 1.01/1.41 [636=param(176,200),[250], % 1.01/1.41 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(multiply(inverse(X11),X11),inverse(X12)))),multiply(inverse(inverse(X13)),inverse(multiply(multiply(inverse(X14),X14),X13)))) = X12]. % 1.01/1.41 [672=param(177,250),[163], % 1.01/1.41 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))) = inverse(multiply(inverse(X12),X12))]. % 1.01/1.41 [673=param(20,672),[234,320,170], % 1.01/1.41 inverse(multiply(inverse(inverse(X11)),inverse(multiply(X10,X11)))) = X10]. % 1.01/1.41 [674=demod(166),[673], % 1.01/1.41 multiply(multiply(inverse(X10),X10),X11) = X11]. % 1.01/1.41 [817=demod(550),[674], % 1.01/1.41 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = multiply(inverse(inverse(multiply(inverse(inverse(X11)),X12))),inverse(X12))]. % 1.01/1.41 [831=demod(366),[674], % 1.01/1.41 multiply(inverse(inverse(multiply(X10,X11))),X12) = multiply(X10,multiply(inverse(inverse(X11)),X12))]. % 1.01/1.41 [846=demod(817),[831], % 1.01/1.41 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = multiply(inverse(inverse(X11)),multiply(inverse(inverse(X12)),inverse(X12)))]. % 1.01/1.41 [862=demod(636),[674,674,674], % 1.01/1.41 multiply(inverse(inverse(X10)),multiply(inverse(inverse(X11)),inverse(X11))) = X10]. % 1.01/1.41 [863=demod(846),[862], % 1.01/1.41 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = X11]. % 1.01/1.41 [893=param(863,200),[674,250], % 1.01/1.41 inverse(inverse(X10)) = X10]. % 1.01/1.41 [1014=demod(831),[893,893], % 1.01/1.41 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 1.01/1.41 [1032=param(3,1014),[2], % 1.01/1.41 thmtrue = thmfalse]. % 1.01/1.41 % SZS output end CNFRefutation % 1.01/1.41 Space: 1697 KB %------------------------------------------------------------------------------