%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP488-1 : 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 0.69s 1.08s % Output : CNFRefutation 0.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0. % 0.10/0.12 % 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 08:36:05 EDT 2022 % 0.12/0.33 % CPUTime : % 0.69/1.08 Theorem Proved. % 0.69/1.08 % SZS status Unsatisfiable % 0.69/1.08 % SZS output start CNFRefutation % 0.69/1.08 [1=axiom,[], % 0.69/1.08 double_divide(X10,inverse(X10)) = identity]. % 0.69/1.08 [2=axiom,[], % 0.69/1.08 double_divide(X10,identity) = inverse(X10)]. % 0.69/1.08 [3=axiom,[2], % 0.69/1.08 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.69/1.08 [4=axiom,[2,2,3], % 0.69/1.08 double_divide(X10,multiply(X11,double_divide(identity,double_divide(inverse(X10),double_divide(X11,X12))))) = X12]. % 0.69/1.08 [5=axiom,[], % 0.69/1.08 thtop(X10,X10) = thmfalse]. % 0.69/1.08 [6=axiom,[], % 0.69/1.08 thtop(multiply(identity,a2),a2) = thmtrue]. % 0.69/1.08 [7=param(3,1),[], % 0.69/1.08 multiply(inverse(X10),X10) = inverse(identity)]. % 0.69/1.08 [9=param(3,2),[], % 0.69/1.08 multiply(identity,X10) = inverse(inverse(X10))]. % 0.69/1.08 [10=param(4,1),[2], % 0.69/1.08 double_divide(X10,multiply(X11,double_divide(identity,inverse(inverse(X10))))) = inverse(X11)]. % 0.69/1.08 [11=param(4,2),[], % 0.69/1.08 double_divide(X10,multiply(X11,double_divide(identity,double_divide(inverse(X10),inverse(X11))))) = identity]. % 0.69/1.08 [13=param(4,9),[3], % 0.69/1.08 double_divide(X10,inverse(multiply(double_divide(inverse(X10),double_divide(identity,X11)),identity))) = X11]. % 0.69/1.08 [18=param(10,7),[3], % 0.69/1.08 double_divide(X10,inverse(identity)) = inverse(multiply(inverse(inverse(X10)),identity))]. % 0.69/1.08 [20=param(18,1),[], % 0.69/1.08 inverse(multiply(inverse(inverse(identity)),identity)) = identity]. % 0.69/1.08 [22=param(10,20),[1], % 0.69/1.08 double_divide(multiply(inverse(inverse(identity)),identity),multiply(X10,identity)) = inverse(X10)]. % 0.69/1.08 [23=param(11,1),[2], % 0.69/1.08 double_divide(X10,multiply(inverse(X10),inverse(identity))) = identity]. % 0.69/1.08 [27=param(4,23),[2,10], % 0.69/1.08 multiply(inverse(X10),inverse(identity)) = inverse(X10)]. % 0.69/1.08 [28=param(27,3),[3], % 0.69/1.08 multiply(multiply(X10,X11),inverse(identity)) = multiply(X10,X11)]. % 0.69/1.08 [29=param(27,7),[], % 0.69/1.08 inverse(inverse(identity)) = inverse(identity)]. % 0.69/1.08 [30=demod(22),[29,7], % 0.69/1.08 double_divide(inverse(identity),multiply(X10,identity)) = inverse(X10)]. % 0.69/1.08 [31=demod(20),[29,7,29], % 0.69/1.08 inverse(identity) = identity]. % 0.69/1.08 [32=demod(30),[31], % 0.69/1.08 double_divide(identity,multiply(X10,identity)) = inverse(X10)]. % 0.69/1.08 [33=demod(28),[31], % 0.69/1.08 multiply(multiply(X10,X11),identity) = multiply(X10,X11)]. % 0.69/1.08 [34=demod(27),[31], % 0.69/1.08 multiply(inverse(X10),identity) = inverse(X10)]. % 0.69/1.08 [37=demod(18),[31,2,34], % 0.69/1.08 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.69/1.08 [45=param(37,3),[3], % 0.69/1.08 inverse(inverse(multiply(X10,X11))) = multiply(X10,X11)]. % 0.69/1.08 [51=param(3,32),[33], % 0.69/1.08 multiply(X10,identity) = inverse(inverse(X10))]. % 0.69/1.08 [52=demod(32),[51], % 0.69/1.08 double_divide(identity,inverse(inverse(X10))) = inverse(X10)]. % 0.69/1.08 [54=demod(10),[52], % 0.69/1.08 double_divide(X10,multiply(X11,inverse(X10))) = inverse(X11)]. % 0.69/1.08 [57=demod(13),[51,3,45,54,3,51], % 0.69/1.08 inverse(inverse(X10)) = X10]. % 0.69/1.08 [67=demod(9),[57], % 0.69/1.08 multiply(identity,X10) = X10]. % 0.69/1.08 [68=param(6,67),[5], % 0.69/1.08 thmtrue = thmfalse]. % 0.69/1.08 % SZS output end CNFRefutation % 0.69/1.08 Space: 35 KB %------------------------------------------------------------------------------