%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP575-1 : 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 09:14:37 EDT 2022 % Result : Unsatisfiable 0.72s 1.09s % Output : CNFRefutation 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.12 % 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 : Tue Jun 14 05:13:20 EDT 2022 % 0.12/0.33 % CPUTime : % 0.72/1.09 Theorem Proved. % 0.72/1.09 % SZS status Unsatisfiable % 0.72/1.09 % SZS output start CNFRefutation % 0.72/1.09 [1=axiom,[], % 0.72/1.09 double_divide(X10,inverse(X10)) = identity]. % 0.72/1.09 [2=axiom,[], % 0.72/1.09 double_divide(X10,identity) = inverse(X10)]. % 0.72/1.09 [3=axiom,[2], % 0.72/1.09 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.72/1.09 [4=axiom,[2,2], % 0.72/1.09 double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X12,X10)),inverse(X12))),inverse(identity)) = X11]. % 0.72/1.09 [5=axiom,[], % 0.72/1.09 thtop(X10,X10) = thmfalse]. % 0.72/1.09 [6=axiom,[], % 0.72/1.09 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.72/1.09 [7=param(3,1),[], % 0.72/1.09 multiply(inverse(X10),X10) = inverse(identity)]. % 0.72/1.09 [9=param(3,2),[], % 0.72/1.09 multiply(identity,X10) = inverse(inverse(X10))]. % 0.72/1.09 [10=param(4,1),[2], % 0.72/1.09 double_divide(double_divide(inverse(X10),double_divide(inverse(X11),inverse(X10))),inverse(identity)) = X11]. % 0.72/1.09 [11=param(4,2),[], % 0.72/1.09 double_divide(double_divide(identity,double_divide(double_divide(X10,inverse(X11)),inverse(X11))),inverse(identity)) = X10]. % 0.72/1.09 [14=param(10,1),[2], % 0.72/1.09 double_divide(inverse(inverse(inverse(X10))),inverse(identity)) = X10]. % 0.72/1.09 [19=param(10,14),[], % 0.72/1.09 double_divide(double_divide(inverse(identity),X10),inverse(identity)) = inverse(inverse(X10))]. % 0.72/1.09 [20=param(11,14),[], % 0.72/1.09 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X10)))]. % 0.72/1.09 [22=param(19,1),[1], % 0.72/1.09 inverse(inverse(inverse(inverse(identity)))) = identity]. % 0.72/1.09 [25=param(19,4),[3], % 0.72/1.09 inverse(multiply(inverse(X10),double_divide(X11,double_divide(X10,inverse(identity))))) = X11]. % 0.72/1.09 [28=param(19,10),[3], % 0.72/1.09 inverse(multiply(inverse(identity),inverse(X10))) = X10]. % 0.72/1.09 [30=param(11,19),[20], % 0.72/1.09 double_divide(inverse(identity),X10) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.72/1.09 [31=param(4,22),[2,3], % 0.72/1.09 double_divide(double_divide(X10,multiply(double_divide(inverse(inverse(inverse(identity))),X10),X11)),inverse(identity)) = X11]. % 0.72/1.09 [34=param(14,22),[1], % 0.72/1.09 inverse(identity) = identity]. % 0.72/1.09 [37=demod(31),[34,34,34,34,2,3], % 0.72/1.09 multiply(multiply(double_divide(identity,X10),X11),X10) = X11]. % 0.72/1.09 [38=demod(30),[34], % 0.72/1.09 double_divide(identity,X10) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.72/1.09 [39=demod(37),[38], % 0.72/1.09 multiply(multiply(inverse(inverse(inverse(inverse(inverse(X10))))),X11),X10) = X11]. % 0.72/1.09 [41=demod(28),[34,9], % 0.72/1.09 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.72/1.09 [43=demod(39),[41], % 0.72/1.09 multiply(multiply(inverse(X10),X11),X10) = X11]. % 0.72/1.09 [47=demod(25),[34,2], % 0.72/1.09 inverse(multiply(inverse(X10),double_divide(X11,inverse(X10)))) = X11]. % 0.72/1.09 [51=demod(7),[34], % 0.72/1.09 multiply(inverse(X10),X10) = identity]. % 0.72/1.09 [52=demod(4),[34,2,3], % 0.72/1.09 multiply(double_divide(double_divide(X10,double_divide(X11,X12)),inverse(X11)),X12) = X10]. % 0.72/1.09 [58=param(41,3),[], % 0.72/1.09 double_divide(X11,X10) = inverse(inverse(inverse(multiply(X10,X11))))]. % 0.72/1.09 [63=demod(47),[58], % 0.72/1.09 inverse(multiply(inverse(X10),inverse(inverse(inverse(multiply(inverse(X10),X11)))))) = X11]. % 0.72/1.09 [64=demod(52),[58,58,58], % 0.72/1.09 multiply(inverse(inverse(inverse(multiply(inverse(X10),inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X11,X10)))),X12)))))))),X11) = X12]. % 0.72/1.09 [66=param(43,41),[], % 0.72/1.09 multiply(multiply(X10,X11),inverse(inverse(inverse(X10)))) = X11]. % 0.72/1.09 [67=param(43,51),[9], % 0.72/1.09 inverse(inverse(X10)) = X10]. % 0.72/1.09 [70=demod(66),[67], % 0.72/1.09 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.72/1.09 [75=demod(63),[67], % 0.72/1.09 inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))) = X11]. % 0.72/1.09 [76=demod(64),[67,67,67], % 0.72/1.09 multiply(inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(X11,X10)),X12)))),X11) = X12]. % 0.72/1.09 [78=param(70,70),[], % 0.72/1.09 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.72/1.09 [79=param(78,43),[], % 0.72/1.09 inverse(multiply(inverse(X10),X11)) = multiply(X10,inverse(X11))]. % 0.72/1.09 [80=demod(75),[79,79], % 0.72/1.09 multiply(X10,inverse(multiply(X10,inverse(X11)))) = X11]. % 0.72/1.09 [81=demod(76),[79,79], % 0.72/1.09 multiply(multiply(X10,inverse(multiply(multiply(X11,X10),inverse(X12)))),X11) = X12]. % 0.72/1.09 [82=param(43,78),[], % 0.72/1.09 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.72/1.09 [84=param(78,82),[67,67], % 0.72/1.09 multiply(X10,multiply(X11,inverse(X10))) = X11]. % 0.72/1.09 [87=param(84,80),[], % 0.72/1.09 multiply(multiply(X10,inverse(X11)),X11) = X10]. % 0.72/1.09 [88=param(84,87),[67], % 0.72/1.09 multiply(X10,X11) = multiply(X11,X10)]. % 0.72/1.09 [89=demod(81),[88], % 0.72/1.09 multiply(X10,multiply(X11,inverse(multiply(multiply(X10,X11),inverse(X12))))) = X12]. % 0.72/1.09 [97=param(78,88),[], % 0.72/1.09 multiply(X10,inverse(multiply(X10,X11))) = inverse(X11)]. % 0.72/1.09 [103=param(89,67),[], % 0.72/1.09 multiply(X10,multiply(X11,inverse(multiply(multiply(X10,X11),X12)))) = inverse(X12)]. % 0.72/1.09 [161=param(103,97),[67,67], % 0.72/1.09 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.72/1.09 [185=param(6,161),[88,88,5], % 0.72/1.09 thmtrue = thmfalse]. % 0.72/1.09 % SZS output end CNFRefutation % 0.72/1.09 Space: 165 KB %------------------------------------------------------------------------------