%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n023.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 09:14:39 EDT 2022 % Result : Unsatisfiable 0.78s 1.14s % Output : CNFRefutation 0.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n023.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 17:30:06 EDT 2022 % 0.12/0.34 % CPUTime : % 0.78/1.14 Theorem Proved. % 0.78/1.14 % SZS status Unsatisfiable % 0.78/1.14 % SZS output start CNFRefutation % 0.78/1.14 [1=axiom,[], % 0.78/1.14 double_divide(X10,inverse(X10)) = identity]. % 0.78/1.14 [2=axiom,[], % 0.78/1.14 double_divide(X10,identity) = inverse(X10)]. % 0.78/1.14 [3=axiom,[2], % 0.78/1.14 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.78/1.14 [4=axiom,[2], % 0.78/1.14 double_divide(double_divide(X10,double_divide(double_divide(identity,X11),double_divide(X12,double_divide(X11,X10)))),inverse(identity)) = X12]. % 0.78/1.14 [5=axiom,[], % 0.78/1.14 thtop(X10,X10) = thmfalse]. % 0.78/1.14 [6=axiom,[], % 0.78/1.14 thtop(multiply(a,b),multiply(b,a)) = thmtrue]. % 0.78/1.14 [7=param(3,1),[], % 0.78/1.14 multiply(inverse(X10),X10) = inverse(identity)]. % 0.78/1.14 [9=param(3,2),[], % 0.78/1.14 multiply(identity,X10) = inverse(inverse(X10))]. % 0.78/1.14 [10=param(4,1),[], % 0.78/1.14 double_divide(double_divide(X10,double_divide(identity,double_divide(X11,double_divide(inverse(identity),X10)))),inverse(identity)) = X11]. % 0.78/1.14 [11=param(4,1),[2], % 0.78/1.14 double_divide(double_divide(inverse(X10),double_divide(double_divide(identity,X10),inverse(X11))),inverse(identity)) = X11]. % 0.78/1.14 [12=param(4,2),[], % 0.78/1.14 double_divide(double_divide(X10,double_divide(inverse(identity),double_divide(X11,double_divide(identity,X10)))),inverse(identity)) = X11]. % 0.78/1.14 [13=param(4,2),[], % 0.78/1.14 double_divide(double_divide(identity,double_divide(double_divide(identity,X10),double_divide(X11,inverse(X10)))),inverse(identity)) = X11]. % 0.78/1.14 [15=param(11,1),[2], % 0.78/1.14 double_divide(inverse(inverse(X10)),inverse(identity)) = double_divide(identity,X10)]. % 0.78/1.14 [21=param(11,10),[2,3], % 0.78/1.14 double_divide(double_divide(multiply(double_divide(X10,inverse(inverse(identity))),identity),X10),inverse(identity)) = identity]. % 0.78/1.14 [22=param(3,15),[3], % 0.78/1.14 multiply(X10,identity) = multiply(inverse(identity),inverse(inverse(X10)))]. % 0.78/1.14 [23=demod(21),[22,3], % 0.78/1.14 double_divide(double_divide(multiply(inverse(identity),inverse(multiply(inverse(inverse(identity)),X10))),X10),inverse(identity)) = identity]. % 0.78/1.14 [29=param(13,1),[2,3], % 0.78/1.14 double_divide(double_divide(identity,multiply(X10,identity)),inverse(identity)) = X10]. % 0.78/1.14 [32=param(29,7),[1,1], % 0.78/1.14 inverse(identity) = identity]. % 0.78/1.14 [34=demod(29),[32,2,3,22,32,9], % 0.78/1.14 inverse(inverse(inverse(inverse(multiply(X10,identity))))) = X10]. % 0.78/1.14 [40=demod(23),[32,32,32,9,9,32,2,3], % 0.78/1.14 multiply(X10,inverse(inverse(inverse(inverse(inverse(X10)))))) = identity]. % 0.78/1.14 [41=demod(22),[32,9], % 0.78/1.14 multiply(X10,identity) = inverse(inverse(inverse(inverse(X10))))]. % 0.78/1.14 [42=demod(34),[41], % 0.78/1.14 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))))) = X10]. % 0.78/1.14 [45=demod(15),[32,2], % 0.78/1.14 double_divide(identity,X10) = inverse(inverse(inverse(X10)))]. % 0.78/1.14 [51=demod(12),[32,45,45,3,32,2,3], % 0.78/1.14 multiply(inverse(inverse(multiply(inverse(inverse(inverse(X10))),X11))),X10) = X11]. % 0.78/1.14 [52=demod(11),[45,32,2,3], % 0.78/1.14 multiply(double_divide(inverse(inverse(inverse(X10))),inverse(X11)),inverse(X10)) = X11]. % 0.78/1.14 [56=param(42,3),[], % 0.78/1.14 double_divide(X11,X10) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,X11))))))))]. % 0.78/1.14 [61=demod(52),[56], % 0.78/1.14 multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X10),inverse(inverse(inverse(X11))))))))))),inverse(X11)) = X10]. % 0.78/1.14 [64=param(51,40),[32,32,9,42], % 0.78/1.14 inverse(inverse(X10)) = X10]. % 0.78/1.14 [68=demod(51),[64,64], % 0.78/1.14 multiply(multiply(inverse(X10),X11),X10) = X11]. % 0.78/1.14 [72=demod(61),[64,64,64,64], % 0.78/1.14 multiply(inverse(multiply(inverse(X10),inverse(X11))),inverse(X11)) = X10]. % 0.78/1.14 [74=param(68,64),[], % 0.78/1.14 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.78/1.14 [76=param(74,74),[], % 0.78/1.14 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.78/1.14 [77=param(76,68),[], % 0.78/1.14 inverse(multiply(inverse(X10),X11)) = multiply(X10,inverse(X11))]. % 0.78/1.14 [79=demod(72),[77,64], % 0.78/1.14 multiply(multiply(X10,X11),inverse(X11)) = X10]. % 0.78/1.14 [83=param(79,74),[64], % 0.78/1.14 multiply(X10,X11) = multiply(X11,X10)]. % 0.78/1.14 [87=param(6,83),[5], % 0.78/1.14 thmtrue = thmfalse]. % 0.78/1.14 % SZS output end CNFRefutation % 0.78/1.14 Space: 47 KB %------------------------------------------------------------------------------