%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n014.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 09:14:15 EDT 2022 % Result : Unsatisfiable 0.72s 1.11s % Output : CNFRefutation 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP492-1 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.12 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n014.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 14 04:28:06 EDT 2022 % 0.12/0.34 % CPUTime : % 0.72/1.11 Theorem Proved. % 0.72/1.11 % SZS status Unsatisfiable % 0.72/1.11 % SZS output start CNFRefutation % 0.72/1.11 [1=axiom,[], % 0.72/1.11 double_divide(X10,inverse(X10)) = identity]. % 0.72/1.11 [2=axiom,[], % 0.72/1.11 double_divide(X10,identity) = inverse(X10)]. % 0.72/1.11 [3=axiom,[2], % 0.72/1.11 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.72/1.11 [4=axiom,[2,3], % 0.72/1.11 double_divide(double_divide(identity,X10),double_divide(identity,double_divide(multiply(X11,X10),double_divide(X12,X11)))) = X12]. % 0.72/1.11 [5=axiom,[], % 0.72/1.11 thtop(X10,X10) = thmfalse]. % 0.72/1.11 [6=axiom,[], % 0.72/1.11 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.72/1.11 [7=param(3,1),[], % 0.72/1.11 multiply(inverse(X10),X10) = inverse(identity)]. % 0.72/1.11 [8=param(1,3),[], % 0.72/1.11 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.72/1.11 [9=param(3,2),[], % 0.72/1.11 multiply(identity,X10) = inverse(inverse(X10))]. % 0.72/1.11 [10=param(4,1),[], % 0.72/1.11 double_divide(identity,double_divide(identity,double_divide(multiply(X10,inverse(identity)),double_divide(X11,X10)))) = X11]. % 0.72/1.11 [11=param(4,1),[2], % 0.72/1.11 double_divide(double_divide(identity,X10),double_divide(identity,inverse(multiply(inverse(X11),X10)))) = X11]. % 0.72/1.11 [16=param(11,1),[], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(inverse(X10),inverse(identity))))) = X10]. % 0.72/1.11 [17=param(11,2),[], % 0.72/1.11 double_divide(inverse(identity),double_divide(identity,inverse(multiply(inverse(X10),identity)))) = X10]. % 0.72/1.11 [18=param(3,11),[], % 0.72/1.11 multiply(double_divide(identity,inverse(multiply(inverse(X10),X11))),double_divide(identity,X11)) = inverse(X10)]. % 0.72/1.11 [19=param(11,7),[], % 0.72/1.11 double_divide(double_divide(identity,X10),double_divide(identity,inverse(inverse(identity)))) = X10]. % 0.72/1.11 [20=param(10,2),[9], % 0.72/1.11 double_divide(identity,double_divide(identity,double_divide(inverse(inverse(inverse(identity))),inverse(X10)))) = X10]. % 0.72/1.11 [21=param(3,10),[], % 0.72/1.11 multiply(double_divide(identity,double_divide(multiply(X11,inverse(identity)),double_divide(X10,X11))),identity) = inverse(X10)]. % 0.72/1.11 [23=param(10,8),[2], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(X10,X11),inverse(identity))))) = double_divide(X11,X10)]. % 0.72/1.11 [24=demod(4),[-23,-23], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(X10,X11),multiply(X11,X12)),inverse(identity)))))),double_divide(identity,X12)),inverse(identity))))) = X10]. % 0.72/1.11 [25=demod(21),[-23], % 0.72/1.11 multiply(double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(X10,X11),multiply(X11,inverse(identity))),inverse(identity)))))),identity) = inverse(X10)]. % 0.72/1.11 [28=demod(17),[-23], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(identity,inverse(multiply(inverse(X10),identity))),inverse(identity)),inverse(identity))))) = X10]. % 0.72/1.11 [29=demod(19),[-23], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,X10)),inverse(identity))))) = X10]. % 0.72/1.11 [33=demod(20),[-23], % 0.72/1.11 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(multiply(inverse(X10),inverse(inverse(inverse(identity)))),inverse(identity))))))) = X10]. % 0.72/1.11 [34=param(3,16),[], % 0.72/1.11 multiply(double_divide(identity,inverse(multiply(inverse(X10),inverse(identity)))),identity) = inverse(X10)]. % 0.72/1.11 [35=param(16,7),[], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity)]. % 0.72/1.11 [37=param(3,23),[3], % 0.72/1.11 multiply(double_divide(identity,inverse(multiply(multiply(X10,X11),inverse(identity)))),identity) = multiply(X10,X11)]. % 0.72/1.11 [38=param(3,29),[37], % 0.72/1.11 multiply(double_divide(identity,inverse(inverse(identity))),double_divide(identity,X10)) = inverse(X10)]. % 0.72/1.11 [39=param(38,2),[], % 0.72/1.11 multiply(double_divide(identity,inverse(inverse(identity))),inverse(identity)) = inverse(identity)]. % 0.72/1.11 [40=param(38,35),[39,3], % 0.72/1.11 multiply(inverse(inverse(identity)),identity) = inverse(identity)]. % 0.72/1.11 [41=param(23,40),[16], % 0.72/1.11 double_divide(identity,inverse(inverse(identity))) = identity]. % 0.72/1.11 [42=demod(39),[41,9], % 0.72/1.11 inverse(inverse(inverse(identity))) = inverse(identity)]. % 0.72/1.11 [43=demod(33),[42], % 0.72/1.11 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(multiply(inverse(X10),inverse(identity)),inverse(identity))))))) = X10]. % 0.72/1.11 [44=demod(38),[41,9,3], % 0.72/1.11 inverse(multiply(X10,identity)) = inverse(X10)]. % 0.72/1.11 [45=demod(28),[44], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(double_divide(identity,inverse(inverse(X10))),inverse(identity)),inverse(identity))))) = X10]. % 0.72/1.11 [46=param(44,34),[3], % 0.72/1.11 multiply(inverse(multiply(inverse(X10),inverse(identity))),identity) = inverse(inverse(X10))]. % 0.72/1.11 [48=param(44,40),[42], % 0.72/1.11 inverse(inverse(identity)) = inverse(identity)]. % 0.72/1.11 [51=param(23,46),[16], % 0.72/1.11 double_divide(identity,inverse(multiply(inverse(X10),inverse(identity)))) = inverse(X10)]. % 0.72/1.11 [52=demod(34),[51], % 0.72/1.11 multiply(inverse(X10),identity) = inverse(X10)]. % 0.72/1.11 [53=demod(46),[52], % 0.72/1.11 inverse(multiply(inverse(X10),inverse(identity))) = inverse(inverse(X10))]. % 0.72/1.11 [54=demod(51),[53], % 0.72/1.11 double_divide(identity,inverse(inverse(X10))) = inverse(X10)]. % 0.72/1.11 [55=demod(45),[54], % 0.72/1.11 double_divide(identity,double_divide(identity,inverse(multiply(multiply(inverse(X10),inverse(identity)),inverse(identity))))) = X10]. % 0.72/1.11 [56=demod(43),[55], % 0.72/1.11 double_divide(identity,double_divide(identity,X10)) = X10]. % 0.72/1.11 [57=demod(23),[56], % 0.72/1.11 double_divide(X11,X10) = inverse(multiply(multiply(X10,X11),inverse(identity)))]. % 0.72/1.11 [58=demod(1),[57,7,53,48], % 0.72/1.11 inverse(identity) = identity]. % 0.72/1.11 [59=demod(57),[58,44], % 0.72/1.11 double_divide(X10,X11) = inverse(multiply(X11,X10))]. % 0.72/1.11 [63=demod(3),[59], % 0.72/1.11 inverse(inverse(multiply(X10,X11))) = multiply(X10,X11)]. % 0.72/1.11 [64=demod(37),[58,44,59,52,63], % 0.72/1.11 multiply(multiply(X10,X11),identity) = multiply(X10,X11)]. % 0.72/1.11 [65=demod(56),[59,44,59,52], % 0.72/1.11 inverse(inverse(X10)) = X10]. % 0.72/1.11 [67=demod(18),[59,52,65,59,44], % 0.72/1.11 multiply(multiply(inverse(X10),X11),inverse(X11)) = inverse(X10)]. % 0.72/1.11 [68=demod(24),[59,58,64,59,52,65,59,64,59,52,65,59,44,58,64,59,52,65,59,64], % 0.72/1.11 inverse(multiply(multiply(inverse(multiply(X10,X11)),multiply(X10,X12)),inverse(X12))) = X11]. % 0.72/1.11 [69=demod(25),[59,58,58,64,59,52,65,59,64,59,52,65,64], % 0.72/1.11 multiply(inverse(multiply(X10,X11)),multiply(X10,identity)) = inverse(X11)]. % 0.72/1.11 [71=param(65,44),[65], % 0.72/1.11 multiply(X10,identity) = X10]. % 0.72/1.11 [72=demod(69),[71], % 0.72/1.11 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.72/1.11 [73=param(72,72),[65], % 0.72/1.11 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.72/1.11 [74=param(72,67),[65,65], % 0.72/1.11 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.72/1.11 [75=param(72,74),[], % 0.72/1.11 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 0.72/1.11 [76=demod(72),[75], % 0.72/1.11 inverse(multiply(inverse(X10),multiply(X10,X11))) = inverse(X11)]. % 0.72/1.11 [77=param(65,76),[65], % 0.72/1.11 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.72/1.11 [79=param(68,65),[], % 0.72/1.11 inverse(multiply(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12))),X12)) = X11]. % 0.72/1.11 [81=param(77,73),[], % 0.72/1.11 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 0.72/1.11 [82=demod(79),[-81], % 0.72/1.11 multiply(inverse(X10),inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(X10))))) = X12]. % 0.72/1.11 [84=param(81,65),[], % 0.72/1.11 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))]. % 0.72/1.11 [87=param(81,81),[], % 0.72/1.11 multiply(multiply(inverse(X10),inverse(X11)),inverse(X12)) = inverse(multiply(X12,multiply(X11,X10)))]. % 0.72/1.11 [89=param(65,81),[], % 0.72/1.11 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)]. % 0.72/1.11 [114=param(82,65),[65], % 0.72/1.11 multiply(X10,inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X10)))) = X12]. % 0.72/1.11 [117=param(81,87),[65,65], % 0.72/1.11 multiply(X10,multiply(X11,X12)) = multiply(X10,inverse(multiply(inverse(X12),inverse(X11))))]. % 0.72/1.11 [122=param(114,73),[65], % 0.72/1.11 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 0.72/1.11 [127=param(77,122),[], % 0.72/1.11 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))]. % 0.72/1.11 [164=param(6,117),[-89,127,65,84,65,65,5], % 0.72/1.11 thmtrue = thmfalse]. % 0.72/1.11 % SZS output end CNFRefutation % 0.72/1.11 Space: 187 KB %------------------------------------------------------------------------------