%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n015.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 0.43s 1.14s % Output : CNFRefutation 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n015.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 13:35:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.43/1.14 Theorem Proved. % 0.43/1.14 % SZS status Unsatisfiable % 0.43/1.14 % SZS output start CNFRefutation % 0.43/1.14 [1=axiom,[], % 0.43/1.14 double_divide(X10,inverse(X10)) = identity]. % 0.43/1.14 [2=axiom,[], % 0.43/1.14 double_divide(X10,identity) = inverse(X10)]. % 0.43/1.14 [3=axiom,[2], % 0.43/1.14 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.43/1.14 [4=axiom,[2,2], % 0.43/1.14 double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X12,X10)),inverse(X12))),inverse(identity)) = X11]. % 0.43/1.14 [5=axiom,[], % 0.43/1.14 thtop(X10,X10) = thmfalse]. % 0.43/1.14 [6=axiom,[], % 0.43/1.14 thtop(multiply(a,b),multiply(b,a)) = thmtrue]. % 0.43/1.14 [7=param(3,1),[], % 0.43/1.14 multiply(inverse(X10),X10) = inverse(identity)]. % 0.43/1.14 [9=param(3,2),[], % 0.43/1.14 multiply(identity,X10) = inverse(inverse(X10))]. % 0.43/1.14 [10=param(4,1),[2], % 0.43/1.14 double_divide(double_divide(inverse(X10),double_divide(inverse(X11),inverse(X10))),inverse(identity)) = X11]. % 0.43/1.14 [11=param(4,2),[], % 0.43/1.14 double_divide(double_divide(identity,double_divide(double_divide(X10,inverse(X11)),inverse(X11))),inverse(identity)) = X10]. % 0.43/1.14 [14=param(10,1),[2], % 0.43/1.14 double_divide(inverse(inverse(inverse(X10))),inverse(identity)) = X10]. % 0.43/1.14 [19=param(10,14),[], % 0.43/1.14 double_divide(double_divide(inverse(identity),X10),inverse(identity)) = inverse(inverse(X10))]. % 0.43/1.14 [20=param(11,14),[], % 0.43/1.14 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X10)))]. % 0.43/1.14 [22=param(19,1),[1], % 0.43/1.14 inverse(inverse(inverse(inverse(identity)))) = identity]. % 0.43/1.14 [25=param(19,4),[3], % 0.43/1.14 inverse(multiply(inverse(X10),double_divide(X11,double_divide(X10,inverse(identity))))) = X11]. % 0.43/1.14 [28=param(19,10),[3], % 0.43/1.14 inverse(multiply(inverse(identity),inverse(X10))) = X10]. % 0.43/1.14 [30=param(11,19),[20], % 0.43/1.14 double_divide(inverse(identity),X10) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.43/1.14 [31=param(4,22),[2,3], % 0.43/1.14 double_divide(double_divide(X10,multiply(double_divide(inverse(inverse(inverse(identity))),X10),X11)),inverse(identity)) = X11]. % 0.43/1.14 [34=param(14,22),[1], % 0.43/1.14 inverse(identity) = identity]. % 0.43/1.14 [37=demod(31),[34,34,34,34,2,3], % 0.43/1.14 multiply(multiply(double_divide(identity,X10),X11),X10) = X11]. % 0.43/1.14 [38=demod(30),[34], % 0.43/1.14 double_divide(identity,X10) = inverse(inverse(inverse(inverse(inverse(X10)))))]. % 0.43/1.14 [39=demod(37),[38], % 0.43/1.14 multiply(multiply(inverse(inverse(inverse(inverse(inverse(X10))))),X11),X10) = X11]. % 0.43/1.14 [41=demod(28),[34,9], % 0.43/1.14 inverse(inverse(inverse(inverse(X10)))) = X10]. % 0.43/1.14 [43=demod(39),[41], % 0.43/1.14 multiply(multiply(inverse(X10),X11),X10) = X11]. % 0.43/1.14 [47=demod(25),[34,2], % 0.43/1.14 inverse(multiply(inverse(X10),double_divide(X11,inverse(X10)))) = X11]. % 0.43/1.14 [51=demod(7),[34], % 0.43/1.14 multiply(inverse(X10),X10) = identity]. % 0.43/1.14 [58=param(41,3),[], % 0.43/1.14 double_divide(X11,X10) = inverse(inverse(inverse(multiply(X10,X11))))]. % 0.43/1.14 [63=demod(47),[58], % 0.43/1.14 inverse(multiply(inverse(X10),inverse(inverse(inverse(multiply(inverse(X10),X11)))))) = X11]. % 0.43/1.14 [66=param(43,41),[], % 0.43/1.14 multiply(multiply(X10,X11),inverse(inverse(inverse(X10)))) = X11]. % 0.43/1.14 [67=param(43,51),[9], % 0.43/1.14 inverse(inverse(X10)) = X10]. % 0.43/1.14 [70=demod(66),[67], % 0.43/1.14 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.43/1.14 [75=demod(63),[67], % 0.43/1.14 inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))) = X11]. % 0.43/1.14 [78=param(70,70),[], % 0.43/1.14 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.43/1.14 [79=param(78,43),[], % 0.43/1.14 inverse(multiply(inverse(X10),X11)) = multiply(X10,inverse(X11))]. % 0.43/1.14 [80=demod(75),[79,79], % 0.43/1.14 multiply(X10,inverse(multiply(X10,inverse(X11)))) = X11]. % 0.43/1.14 [82=param(43,78),[], % 0.43/1.14 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.43/1.14 [84=param(78,82),[67,67], % 0.43/1.14 multiply(X10,multiply(X11,inverse(X10))) = X11]. % 0.43/1.14 [87=param(84,80),[], % 0.43/1.14 multiply(multiply(X10,inverse(X11)),X11) = X10]. % 0.43/1.14 [88=param(84,87),[67], % 0.43/1.14 multiply(X10,X11) = multiply(X11,X10)]. % 0.43/1.14 [96=param(6,88),[5], % 0.43/1.14 thmtrue = thmfalse]. % 0.43/1.14 % SZS output end CNFRefutation % 0.43/1.14 Space: 50 KB %------------------------------------------------------------------------------