%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n026.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 0.41s 0.82s % Output : CNFRefutation 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0. % 0.00/0.07 % Command : fiesta-wrapper %s % 0.07/0.26 % Computer : n026.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 600 % 0.07/0.26 % DateTime : Tue Jun 14 11:30:36 EDT 2022 % 0.07/0.26 % CPUTime : % 0.41/0.82 Theorem Proved. % 0.41/0.82 % SZS status Unsatisfiable % 0.41/0.82 % SZS output start CNFRefutation % 0.41/0.82 [1=axiom,[], % 0.41/0.82 double_divide(X10,inverse(X10)) = identity]. % 0.41/0.82 [2=axiom,[], % 0.41/0.82 double_divide(X10,identity) = inverse(X10)]. % 0.41/0.82 [3=axiom,[2], % 0.41/0.82 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.41/0.82 [4=axiom,[2,3], % 0.41/0.82 double_divide(double_divide(identity,X10),double_divide(identity,double_divide(multiply(X11,X10),double_divide(X12,X11)))) = X12]. % 0.41/0.82 [5=axiom,[], % 0.41/0.82 thtop(X10,X10) = thmfalse]. % 0.41/0.82 [6=axiom,[], % 0.41/0.82 thtop(multiply(inverse(a1),a1),identity) = thmtrue]. % 0.41/0.82 [7=param(3,1),[], % 0.41/0.82 multiply(inverse(X10),X10) = inverse(identity)]. % 0.41/0.82 [8=param(1,3),[], % 0.41/0.82 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.41/0.82 [9=param(3,2),[], % 0.41/0.82 multiply(identity,X10) = inverse(inverse(X10))]. % 0.41/0.82 [10=param(4,1),[], % 0.41/0.82 double_divide(identity,double_divide(identity,double_divide(multiply(X10,inverse(identity)),double_divide(X11,X10)))) = X11]. % 0.41/0.82 [15=param(6,7),[], % 0.41/0.82 thtop(inverse(identity),identity) = thmtrue]. % 0.41/0.82 [17=param(10,1),[2], % 0.41/0.82 double_divide(identity,double_divide(identity,inverse(multiply(inverse(X10),inverse(identity))))) = X10]. % 0.41/0.82 [18=param(10,2),[9], % 0.41/0.82 double_divide(identity,double_divide(identity,double_divide(inverse(inverse(inverse(identity))),inverse(X10)))) = X10]. % 0.41/0.82 [21=param(10,8),[2], % 0.41/0.82 double_divide(identity,double_divide(identity,inverse(multiply(multiply(X10,X11),inverse(identity))))) = double_divide(X11,X10)]. % 0.41/0.82 [30=demod(18),[-21], % 0.41/0.82 double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,inverse(multiply(multiply(inverse(X10),inverse(inverse(inverse(identity)))),inverse(identity))))))) = X10]. % 0.41/0.82 [32=param(17,7),[], % 0.41/0.82 double_divide(identity,double_divide(identity,inverse(inverse(identity)))) = inverse(identity)]. % 0.41/0.82 [35=param(30,7),[17,2,1], % 0.41/0.82 inverse(inverse(inverse(identity))) = identity]. % 0.41/0.82 [36=demod(30),[35,21], % 0.41/0.82 double_divide(identity,double_divide(identity,double_divide(identity,inverse(X10)))) = X10]. % 0.41/0.82 [47=param(36,17),[], % 0.41/0.82 double_divide(identity,X10) = multiply(inverse(X10),inverse(identity))]. % 0.41/0.82 [49=demod(21),[47,47], % 0.41/0.82 double_divide(X11,X10) = multiply(inverse(multiply(inverse(inverse(multiply(multiply(X10,X11),inverse(identity)))),inverse(identity))),inverse(identity))]. % 0.41/0.82 [50=demod(1),[49,7], % 0.41/0.82 multiply(inverse(multiply(inverse(inverse(multiply(inverse(identity),inverse(identity)))),inverse(identity))),inverse(identity)) = identity]. % 0.41/0.82 [55=demod(47),[49], % 0.41/0.82 multiply(inverse(multiply(inverse(inverse(multiply(multiply(X10,identity),inverse(identity)))),inverse(identity))),inverse(identity)) = multiply(inverse(X10),inverse(identity))]. % 0.41/0.82 [57=demod(32),[49,55,35,9,35,49,9,7,35,9,35], % 0.41/0.82 multiply(inverse(identity),inverse(identity)) = inverse(identity)]. % 0.41/0.82 [58=demod(50),[57,35,9,35,57], % 0.41/0.82 inverse(identity) = identity]. % 0.41/0.82 [78=param(15,58),[5], % 0.41/0.82 thmtrue = thmfalse]. % 0.41/0.82 % SZS output end CNFRefutation % 0.41/0.82 Space: 80 KB %------------------------------------------------------------------------------