%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP568-1 : 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 09:14:35 EDT 2022 % Result : Unsatisfiable 0.70s 1.11s % Output : CNFRefutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n015.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 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jun 13 21:19:08 EDT 2022 % 0.13/0.35 % CPUTime : % 0.70/1.11 Theorem Proved. % 0.70/1.11 % SZS status Unsatisfiable % 0.70/1.11 % SZS output start CNFRefutation % 0.70/1.11 [1=axiom,[], % 0.70/1.11 double_divide(X10,inverse(X10)) = identity]. % 0.70/1.11 [2=axiom,[], % 0.70/1.11 double_divide(X10,identity) = inverse(X10)]. % 0.70/1.11 [3=axiom,[2], % 0.70/1.11 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.70/1.11 [4=axiom,[2], % 0.70/1.11 double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X10,X12)),double_divide(identity,X12))),inverse(identity)) = X11]. % 0.70/1.11 [5=axiom,[], % 0.70/1.11 thtop(X10,X10) = thmfalse]. % 0.70/1.11 [6=axiom,[], % 0.70/1.11 thtop(multiply(a,b),multiply(b,a)) = thmtrue]. % 0.70/1.11 [9=param(3,2),[], % 0.70/1.11 multiply(identity,X10) = inverse(inverse(X10))]. % 0.70/1.11 [11=param(4,1),[2,3], % 0.70/1.11 double_divide(double_divide(X10,multiply(double_divide(X10,inverse(identity)),X11)),inverse(identity)) = X11]. % 0.70/1.11 [12=param(4,2),[2], % 0.70/1.11 double_divide(double_divide(X10,double_divide(double_divide(X11,inverse(X10)),inverse(identity))),inverse(identity)) = X11]. % 0.70/1.11 [14=param(11,1),[9], % 0.70/1.11 double_divide(double_divide(identity,inverse(inverse(X10))),inverse(identity)) = X10]. % 0.70/1.11 [20=param(12,1),[1,2], % 0.70/1.11 double_divide(inverse(X10),inverse(identity)) = X10]. % 0.70/1.11 [22=param(12,14),[], % 0.70/1.11 double_divide(double_divide(inverse(X10),X10),inverse(identity)) = identity]. % 0.70/1.11 [23=param(12,14),[], % 0.70/1.11 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X10)))]. % 0.70/1.11 [24=param(20,3),[], % 0.70/1.11 double_divide(multiply(X10,X11),inverse(identity)) = double_divide(X11,X10)]. % 0.70/1.11 [25=param(3,20),[], % 0.70/1.11 multiply(inverse(identity),inverse(X10)) = inverse(X10)]. % 0.70/1.11 [26=param(4,20),[1,2,3], % 0.70/1.11 double_divide(double_divide(inverse(X10),multiply(X10,X11)),inverse(identity)) = X11]. % 0.70/1.11 [27=param(12,20),[23], % 0.70/1.11 double_divide(identity,inverse(inverse(X10))) = inverse(X10)]. % 0.70/1.11 [28=demod(23),[27], % 0.70/1.11 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = inverse(X10)]. % 0.70/1.11 [31=param(4,27),[27], % 0.70/1.11 double_divide(double_divide(identity,double_divide(double_divide(X10,inverse(X11)),inverse(X11))),inverse(identity)) = X10]. % 0.70/1.11 [37=param(4,24),[1,2,3], % 0.70/1.11 double_divide(double_divide(multiply(X10,X11),multiply(double_divide(X11,X10),X12)),inverse(identity)) = X12]. % 0.70/1.11 [38=param(22,2),[20], % 0.70/1.11 inverse(identity) = identity]. % 0.70/1.11 [39=demod(37),[38,2,3], % 0.70/1.11 multiply(multiply(double_divide(X10,X11),X12),multiply(X11,X10)) = X12]. % 0.70/1.11 [44=demod(31),[38,2,3], % 0.70/1.11 multiply(double_divide(double_divide(X10,inverse(X11)),inverse(X11)),identity) = X10]. % 0.70/1.11 [45=demod(28),[38,2,38,2,3], % 0.70/1.11 multiply(inverse(X10),identity) = inverse(X10)]. % 0.70/1.11 [46=demod(26),[38,2,3], % 0.70/1.11 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.70/1.11 [47=demod(25),[38,9], % 0.70/1.11 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.70/1.11 [48=demod(24),[38,2], % 0.70/1.11 double_divide(X11,X10) = inverse(multiply(X10,X11))]. % 0.70/1.11 [51=demod(39),[48], % 0.70/1.11 multiply(multiply(inverse(multiply(X10,X11)),X12),multiply(X10,X11)) = X12]. % 0.70/1.11 [55=demod(44),[48,48,45], % 0.70/1.11 inverse(multiply(inverse(X10),inverse(multiply(inverse(X10),X11)))) = X11]. % 0.70/1.11 [58=demod(20),[38,48,9,47], % 0.70/1.11 inverse(inverse(X10)) = X10]. % 0.70/1.11 [59=demod(9),[58], % 0.70/1.11 multiply(identity,X10) = X10]. % 0.70/1.11 [65=param(46,46),[], % 0.70/1.11 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.70/1.11 [66=param(46,65),[], % 0.70/1.11 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X10,X11))]. % 0.70/1.11 [67=demod(55),[66,58], % 0.70/1.11 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.70/1.11 [72=param(51,67),[58], % 0.70/1.11 multiply(X10,multiply(X11,X12)) = multiply(multiply(X11,X12),X10)]. % 0.70/1.11 [81=param(72,59),[59], % 0.70/1.11 multiply(X10,X11) = multiply(X11,X10)]. % 0.70/1.11 [84=param(6,81),[5], % 0.70/1.11 thmtrue = thmfalse]. % 0.70/1.11 % SZS output end CNFRefutation % 0.70/1.11 Space: 43 KB %------------------------------------------------------------------------------