%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n027.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 09:14:17 EDT 2022 % Result : Unsatisfiable 0.45s 1.07s % Output : CNFRefutation 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0. % 0.04/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n027.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 14 08:18:18 EDT 2022 % 0.13/0.34 % CPUTime : % 0.45/1.07 Theorem Proved. % 0.45/1.07 % SZS status Unsatisfiable % 0.45/1.07 % SZS output start CNFRefutation % 0.45/1.07 [1=axiom,[], % 0.45/1.07 double_divide(X10,inverse(X10)) = identity]. % 0.45/1.07 [2=axiom,[], % 0.45/1.07 double_divide(X10,identity) = inverse(X10)]. % 0.45/1.07 [3=axiom,[2], % 0.45/1.07 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.45/1.07 [4=axiom,[2,2,3], % 0.45/1.07 double_divide(double_divide(identity,double_divide(X10,inverse(X11))),multiply(double_divide(X12,X10),X11)) = X12]. % 0.45/1.07 [5=axiom,[], % 0.45/1.07 thtop(X10,X10) = thmfalse]. % 0.45/1.07 [6=axiom,[], % 0.45/1.07 thtop(multiply(identity,a2),a2) = thmtrue]. % 0.45/1.07 [8=param(1,3),[], % 0.45/1.07 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.45/1.07 [9=param(3,2),[], % 0.45/1.07 multiply(identity,X10) = inverse(inverse(X10))]. % 0.45/1.07 [10=param(4,1),[2], % 0.45/1.07 double_divide(inverse(identity),multiply(double_divide(X10,X11),X11)) = X10]. % 0.45/1.07 [11=param(4,1),[9], % 0.45/1.07 double_divide(double_divide(identity,double_divide(inverse(X10),inverse(X11))),inverse(inverse(X11))) = X10]. % 0.45/1.07 [12=param(4,2),[], % 0.45/1.07 double_divide(double_divide(identity,double_divide(identity,inverse(X10))),multiply(inverse(X11),X10)) = X11]. % 0.45/1.07 [14=param(6,9),[], % 0.45/1.07 thtop(inverse(inverse(a2)),a2) = thmtrue]. % 0.45/1.07 [16=param(8,4),[], % 0.45/1.07 inverse(identity) = identity]. % 0.45/1.07 [18=demod(10),[16], % 0.45/1.07 double_divide(identity,multiply(double_divide(X10,X11),X11)) = X10]. % 0.45/1.07 [20=param(4,16),[2], % 0.45/1.07 double_divide(double_divide(identity,inverse(X10)),multiply(double_divide(X11,X10),identity)) = X11]. % 0.45/1.07 [21=param(11,1),[2,16], % 0.45/1.07 double_divide(identity,inverse(inverse(inverse(X10)))) = X10]. % 0.45/1.07 [23=param(3,11),[], % 0.45/1.07 multiply(inverse(inverse(X11)),double_divide(identity,double_divide(inverse(X10),inverse(X11)))) = inverse(X10)]. % 0.45/1.07 [24=param(11,16),[2,16,16,2,3], % 0.45/1.07 multiply(inverse(inverse(X10)),identity) = X10]. % 0.45/1.07 [30=param(12,24),[16,2,16,2,16], % 0.45/1.07 double_divide(identity,X10) = inverse(X10)]. % 0.45/1.07 [31=demod(18),[30], % 0.45/1.07 inverse(multiply(double_divide(X10,X11),X11)) = X10]. % 0.45/1.07 [34=demod(23),[30,3], % 0.45/1.07 multiply(inverse(inverse(X10)),multiply(inverse(X10),inverse(X11))) = inverse(X11)]. % 0.45/1.07 [38=demod(21),[30], % 0.45/1.07 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.45/1.07 [42=demod(20),[30], % 0.45/1.07 double_divide(inverse(inverse(X10)),multiply(double_divide(X11,X10),identity)) = X11]. % 0.45/1.07 [44=param(3,30),[], % 0.45/1.07 multiply(X10,identity) = inverse(inverse(X10))]. % 0.45/1.07 [45=demod(42),[44,3], % 0.45/1.07 double_divide(inverse(inverse(X10)),inverse(multiply(X10,X11))) = X11]. % 0.45/1.07 [48=param(31,8),[9], % 0.45/1.07 double_divide(X11,X10) = inverse(inverse(inverse(multiply(X10,X11))))]. % 0.45/1.07 [50=demod(31),[48], % 0.45/1.07 inverse(multiply(inverse(inverse(inverse(multiply(X10,X11)))),X10)) = X11]. % 0.45/1.07 [54=demod(45),[48], % 0.45/1.07 inverse(inverse(inverse(multiply(inverse(multiply(X10,X11)),inverse(inverse(X10)))))) = X11]. % 0.45/1.07 [55=param(50,34),[38], % 0.45/1.07 inverse(multiply(X10,inverse(inverse(X11)))) = multiply(inverse(X11),inverse(X10))]. % 0.45/1.07 [57=demod(54),[-55,38], % 0.45/1.07 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = X11]. % 0.45/1.07 [59=param(57,9),[16,38,9], % 0.45/1.07 inverse(inverse(X10)) = X10]. % 0.45/1.07 [71=param(14,59),[5], % 0.45/1.07 thmtrue = thmfalse]. % 0.45/1.07 % SZS output end CNFRefutation % 0.45/1.07 Space: 33 KB %------------------------------------------------------------------------------