%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n020.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 09:14:14 EDT 2022 % Result : Unsatisfiable 0.73s 1.16s % Output : CNFRefutation 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP486-1 : TPTP v8.1.0. Released v2.6.0. % 0.00/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n020.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 : Mon Jun 13 10:31:50 EDT 2022 % 0.12/0.33 % CPUTime : % 0.73/1.16 Theorem Proved. % 0.73/1.16 % SZS status Unsatisfiable % 0.73/1.16 % SZS output start CNFRefutation % 0.73/1.16 [1=axiom,[], % 0.73/1.16 double_divide(X10,inverse(X10)) = identity]. % 0.73/1.16 [2=axiom,[], % 0.73/1.16 double_divide(X10,identity) = inverse(X10)]. % 0.73/1.16 [3=axiom,[2], % 0.73/1.16 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.73/1.16 [4=axiom,[2,2], % 0.73/1.16 double_divide(double_divide(X10,double_divide(double_divide(double_divide(X10,X11),X12),inverse(X11))),inverse(identity)) = X12]. % 0.73/1.16 [5=axiom,[], % 0.73/1.16 thtop(X10,X10) = thmfalse]. % 0.73/1.16 [6=axiom,[], % 0.73/1.16 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.73/1.16 [7=param(3,1),[], % 0.73/1.16 multiply(inverse(X10),X10) = inverse(identity)]. % 0.73/1.16 [9=param(3,2),[], % 0.73/1.16 multiply(identity,X10) = inverse(inverse(X10))]. % 0.73/1.16 [10=param(4,1),[3], % 0.73/1.16 double_divide(double_divide(X10,double_divide(identity,inverse(X11))),inverse(identity)) = multiply(X11,X10)]. % 0.73/1.16 [11=param(4,1),[], % 0.73/1.16 double_divide(double_divide(X10,double_divide(double_divide(identity,X11),inverse(inverse(X10)))),inverse(identity)) = X11]. % 0.73/1.16 [12=param(4,2),[3], % 0.73/1.16 double_divide(double_divide(X10,double_divide(multiply(X11,X10),inverse(X11))),inverse(identity)) = identity]. % 0.73/1.16 [15=param(10,1),[2,9], % 0.73/1.16 double_divide(inverse(X10),inverse(identity)) = inverse(inverse(X10))]. % 0.73/1.16 [17=param(4,10),[2], % 0.73/1.16 double_divide(double_divide(X10,multiply(X11,inverse(X10))),inverse(identity)) = double_divide(identity,inverse(X11))]. % 0.73/1.16 [18=param(11,2),[], % 0.73/1.16 double_divide(double_divide(X10,double_divide(inverse(identity),inverse(inverse(X10)))),inverse(identity)) = identity]. % 0.73/1.16 [20=param(4,11),[2], % 0.73/1.16 double_divide(double_divide(X10,X11),inverse(identity)) = double_divide(double_divide(identity,X11),inverse(inverse(inverse(X10))))]. % 0.73/1.16 [22=param(15,3),[3], % 0.73/1.16 double_divide(multiply(X10,X11),inverse(identity)) = inverse(multiply(X10,X11))]. % 0.73/1.16 [23=param(3,15),[], % 0.73/1.16 multiply(inverse(identity),inverse(X10)) = inverse(inverse(inverse(X10)))]. % 0.73/1.16 [25=param(4,12),[2,15,2], % 0.73/1.16 double_divide(multiply(X11,inverse(X10)),inverse(X11)) = inverse(inverse(X10))]. % 0.73/1.16 [28=param(3,25),[], % 0.73/1.16 multiply(inverse(X11),multiply(X11,inverse(X10))) = inverse(inverse(inverse(X10)))]. % 0.73/1.16 [29=param(25,22),[9], % 0.73/1.16 inverse(inverse(inverse(inverse(X10)))) = inverse(inverse(X10))]. % 0.73/1.16 [31=param(29,3),[3], % 0.73/1.16 inverse(inverse(inverse(multiply(X10,X11)))) = inverse(multiply(X10,X11))]. % 0.73/1.16 [32=param(10,29),[10], % 0.73/1.16 multiply(inverse(inverse(inverse(X10))),X11) = multiply(inverse(X10),X11)]. % 0.73/1.16 [33=param(3,17),[3], % 0.73/1.16 multiply(inverse(identity),double_divide(X11,multiply(X10,inverse(X11)))) = multiply(inverse(X10),identity)]. % 0.73/1.16 [34=param(4,17),[10,2], % 0.73/1.16 multiply(X10,inverse(inverse(X11))) = multiply(X10,X11)]. % 0.73/1.16 [37=param(34,23),[29], % 0.73/1.16 multiply(inverse(identity),X10) = inverse(inverse(X10))]. % 0.73/1.16 [40=demod(33),[37,3], % 0.73/1.16 inverse(multiply(multiply(X10,inverse(X11)),X11)) = multiply(inverse(X10),identity)]. % 0.73/1.16 [42=param(37,7),[], % 0.73/1.16 inverse(inverse(identity)) = inverse(identity)]. % 0.73/1.16 [44=param(18,1),[2,15,42], % 0.73/1.16 inverse(identity) = identity]. % 0.73/1.16 [47=demod(20),[44,2,3], % 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(inverse(X11)))) = multiply(X10,X11)]. % 0.73/1.16 [50=demod(17),[44,2,3], % 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = double_divide(identity,inverse(X10))]. % 0.73/1.16 [52=demod(11),[44,2,3], % 0.73/1.16 multiply(double_divide(double_divide(identity,X10),inverse(inverse(X11))),X11) = X10]. % 0.73/1.16 [53=demod(10),[44,2,3], % 0.73/1.16 multiply(double_divide(identity,inverse(X10)),X11) = multiply(X10,X11)]. % 0.73/1.16 [54=demod(4),[44,2,3], % 0.73/1.16 multiply(double_divide(double_divide(double_divide(X10,X11),X12),inverse(X11)),X10) = X12]. % 0.73/1.16 [55=param(53,3),[], % 0.73/1.16 multiply(double_divide(identity,multiply(X10,X11)),X12) = multiply(double_divide(X11,X10),X12)]. % 0.73/1.16 [57=demod(52),[-55], % 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),double_divide(identity,X11))),X10) = X11]. % 0.73/1.16 [58=demod(54),[-55], % 0.73/1.16 multiply(double_divide(identity,multiply(inverse(X10),double_divide(double_divide(X11,X10),X12))),X11) = X12]. % 0.73/1.16 [71=param(53,40),[55,53], % 0.73/1.16 multiply(multiply(multiply(X10,inverse(X12)),X12),X11) = multiply(X10,X11)]. % 0.73/1.16 [72=param(47,1),[44,9], % 0.73/1.16 double_divide(identity,inverse(inverse(inverse(X10)))) = inverse(inverse(X10))]. % 0.73/1.16 [73=param(47,3),[], % 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(multiply(X11,X12)))) = multiply(X10,double_divide(X12,X11))]. % 0.73/1.16 [74=param(3,47),[32], % 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),double_divide(identity,X10))]. % 0.73/1.16 [75=param(47,29),[], % 0.73/1.16 double_divide(double_divide(identity,X10),inverse(inverse(X11))) = multiply(X10,inverse(X11))]. % 0.73/1.16 [76=demod(73),[75], % 0.73/1.16 multiply(X10,double_divide(X12,X11)) = multiply(X10,inverse(multiply(X11,X12)))]. % 0.73/1.16 [77=demod(58),[76,76], % 0.73/1.16 multiply(double_divide(identity,multiply(inverse(X10),inverse(multiply(X11,inverse(multiply(X10,X12)))))),X12) = X11]. % 0.73/1.16 [78=demod(57),[76], % 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),inverse(multiply(X11,identity)))),X10) = X11]. % 0.73/1.16 [79=demod(74),[76], % 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(multiply(X10,identity)))]. % 0.73/1.16 [81=param(3,72),[32], % 0.73/1.16 multiply(inverse(X10),identity) = inverse(inverse(inverse(X10)))]. % 0.73/1.16 [84=demod(40),[81], % 0.73/1.16 inverse(multiply(multiply(X10,inverse(X11)),X11)) = inverse(inverse(inverse(X10)))]. % 0.73/1.16 [86=param(81,3),[3], % 0.73/1.16 multiply(multiply(X10,X11),identity) = inverse(inverse(multiply(X10,X11)))]. % 0.73/1.16 [91=param(86,50),[44], % 0.73/1.16 double_divide(identity,inverse(X10)) = inverse(inverse(multiply(X10,identity)))]. % 0.73/1.16 [93=demod(50),[91], % 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = inverse(inverse(multiply(X10,identity)))]. % 0.73/1.16 [94=demod(84),[93,31], % 0.73/1.16 inverse(multiply(X10,identity)) = inverse(inverse(inverse(X10)))]. % 0.73/1.16 [95=demod(93),[94,29], % 0.73/1.16 multiply(multiply(X10,inverse(X11)),X11) = inverse(inverse(X10))]. % 0.73/1.16 [96=demod(91),[94,29], % 0.73/1.16 double_divide(identity,inverse(X10)) = inverse(inverse(X10))]. % 0.73/1.16 [97=demod(79),[94,34], % 0.73/1.16 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))]. % 0.73/1.16 [98=demod(78),[94,34], % 0.73/1.16 multiply(double_divide(identity,multiply(inverse(inverse(X10)),inverse(X11))),X10) = X11]. % 0.73/1.16 [99=demod(71),[95], % 0.73/1.16 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.73/1.16 [100=demod(98),[99], % 0.73/1.16 multiply(double_divide(identity,multiply(X10,inverse(X11))),X10) = X11]. % 0.73/1.16 [107=param(55,86),[96,31], % 0.73/1.16 multiply(double_divide(identity,multiply(X10,X11)),X12) = multiply(inverse(multiply(X10,X11)),X12)]. % 0.73/1.16 [109=demod(100),[107], % 0.73/1.16 multiply(inverse(multiply(X10,inverse(X11))),X10) = X11]. % 0.73/1.16 [110=demod(55),[107], % 0.73/1.16 multiply(double_divide(X11,X10),X12) = multiply(inverse(multiply(X10,X11)),X12)]. % 0.73/1.16 [112=demod(77),[110,86,31], % 0.73/1.16 multiply(inverse(multiply(inverse(X10),inverse(multiply(X11,inverse(multiply(X10,X12)))))),X12) = X11]. % 0.73/1.16 [119=param(75,96),[], % 0.73/1.16 double_divide(inverse(inverse(X10)),inverse(inverse(X11))) = multiply(inverse(X10),inverse(X11))]. % 0.73/1.16 [121=param(99,28),[], % 0.73/1.16 multiply(X10,multiply(inverse(X10),inverse(X11))) = inverse(inverse(inverse(X11)))]. % 0.73/1.16 [122=param(99,81),[29], % 0.73/1.16 multiply(X10,identity) = inverse(inverse(X10))]. % 0.73/1.16 [124=param(76,75),[99,76,122,34], % 0.73/1.16 multiply(X10,multiply(X11,inverse(X12))) = multiply(X10,inverse(multiply(X12,inverse(X11))))]. % 0.73/1.16 [128=param(109,9),[29,99,122], % 0.73/1.16 inverse(inverse(X10)) = X10]. % 0.73/1.16 [134=demod(119),[128,128], % 0.73/1.16 double_divide(X10,X11) = multiply(inverse(X10),inverse(X11))]. % 0.73/1.16 [135=demod(110),[134], % 0.73/1.16 multiply(multiply(inverse(X10),inverse(X11)),X12) = multiply(inverse(multiply(X11,X10)),X12)]. % 0.73/1.16 [136=demod(3),[134], % 0.73/1.16 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)]. % 0.73/1.16 [140=demod(112),[-136,128], % 0.73/1.16 inverse(multiply(inverse(X10),multiply(inverse(X11),inverse(multiply(X12,inverse(multiply(X11,X10))))))) = X12]. % 0.73/1.16 [144=demod(76),[134], % 0.73/1.16 multiply(X10,multiply(inverse(X11),inverse(X12))) = multiply(X10,inverse(multiply(X12,X11)))]. % 0.73/1.16 [146=demod(121),[128], % 0.73/1.16 multiply(X10,multiply(inverse(X10),inverse(X11))) = inverse(X11)]. % 0.73/1.16 [157=param(97,128),[], % 0.73/1.16 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 0.73/1.16 [160=param(146,124),[128], % 0.73/1.16 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 0.73/1.16 [161=param(160,97),[128,128], % 0.73/1.16 multiply(inverse(X10),multiply(X10,X11)) = X11]. % 0.73/1.16 [177=param(6,136),[], % 0.73/1.16 thtop(inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.73/1.16 [187=param(140,97),[128,128,128], % 0.73/1.16 inverse(multiply(X10,multiply(X11,inverse(multiply(X12,multiply(X10,X11)))))) = X12]. % 0.73/1.16 [192=param(128,187),[], % 0.73/1.16 multiply(X11,multiply(X12,inverse(multiply(X10,multiply(X11,X12))))) = inverse(X10)]. % 0.73/1.16 [194=param(192,157),[128,128], % 0.73/1.16 multiply(X10,multiply(X11,multiply(inverse(multiply(X10,X11)),X12))) = X12]. % 0.73/1.16 [208=param(194,161),[], % 0.73/1.16 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.73/1.16 [217=demod(135),[208], % 0.73/1.16 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))]. % 0.73/1.16 [221=param(144,157),[217,128,128], % 0.73/1.16 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))]. % 0.73/1.16 [223=param(177,144),[-97,221,128,5], % 0.73/1.16 thmtrue = thmfalse]. % 0.73/1.16 % SZS output end CNFRefutation % 0.73/1.16 Space: 200 KB %------------------------------------------------------------------------------