%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 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 09:14:38 EDT 2022 % Result : Unsatisfiable 0.81s 1.19s % Output : CNFRefutation 0.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n020.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 : Mon Jun 13 20:14:05 EDT 2022 % 0.13/0.34 % CPUTime : % 0.81/1.19 Theorem Proved. % 0.81/1.19 % SZS status Unsatisfiable % 0.81/1.19 % SZS output start CNFRefutation % 0.81/1.19 [1=axiom,[], % 0.81/1.19 double_divide(X10,inverse(X10)) = identity]. % 0.81/1.19 [2=axiom,[], % 0.81/1.19 double_divide(X10,identity) = inverse(X10)]. % 0.81/1.19 [3=axiom,[2], % 0.81/1.19 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.81/1.19 [4=axiom,[2,2], % 0.81/1.19 double_divide(double_divide(X10,double_divide(double_divide(double_divide(X11,X10),X12),inverse(X11))),inverse(identity)) = X12]. % 0.81/1.19 [5=axiom,[], % 0.81/1.19 thtop(X10,X10) = thmfalse]. % 0.81/1.19 [6=axiom,[], % 0.81/1.19 thtop(multiply(a,b),multiply(b,a)) = thmtrue]. % 0.81/1.19 [7=param(3,1),[], % 0.81/1.19 multiply(inverse(X10),X10) = inverse(identity)]. % 0.81/1.19 [8=param(1,3),[], % 0.81/1.19 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.81/1.19 [9=param(3,2),[], % 0.81/1.19 multiply(identity,X10) = inverse(inverse(X10))]. % 0.81/1.19 [10=param(4,1),[3], % 0.81/1.19 double_divide(double_divide(X10,double_divide(identity,inverse(X11))),inverse(identity)) = multiply(X10,X11)]. % 0.81/1.19 [11=param(4,1),[], % 0.81/1.19 double_divide(double_divide(inverse(X10),double_divide(double_divide(identity,X11),inverse(X10))),inverse(identity)) = X11]. % 0.81/1.19 [12=param(4,2),[3], % 0.81/1.19 double_divide(double_divide(X10,double_divide(multiply(X10,X11),inverse(X11))),inverse(identity)) = identity]. % 0.81/1.19 [13=param(4,2),[], % 0.81/1.19 double_divide(double_divide(identity,double_divide(double_divide(inverse(X10),X11),inverse(X10))),inverse(identity)) = X11]. % 0.81/1.19 [15=param(10,1),[2], % 0.81/1.19 double_divide(inverse(X10),inverse(identity)) = multiply(X10,identity)]. % 0.81/1.19 [17=param(4,10),[], % 0.81/1.19 double_divide(double_divide(X10,multiply(double_divide(identity,X10),X11)),inverse(identity)) = double_divide(identity,inverse(X11))]. % 0.81/1.19 [18=param(11,1),[3,2,15], % 0.81/1.19 multiply(multiply(X10,identity),identity) = X10]. % 0.81/1.19 [21=param(11,4),[2], % 0.81/1.19 double_divide(double_divide(inverse(identity),X10),inverse(identity)) = double_divide(double_divide(inverse(X11),X10),inverse(X11))]. % 0.81/1.19 [22=param(11,10),[9], % 0.81/1.19 double_divide(double_divide(inverse(identity),inverse(inverse(X10))),inverse(identity)) = double_divide(identity,inverse(X10))]. % 0.81/1.19 [23=param(8,18),[], % 0.81/1.19 double_divide(double_divide(identity,multiply(X10,identity)),X10) = identity]. % 0.81/1.19 [24=param(15,3),[], % 0.81/1.19 double_divide(multiply(X10,X11),inverse(identity)) = multiply(double_divide(X11,X10),identity)]. % 0.81/1.19 [25=param(3,15),[], % 0.81/1.19 inverse(multiply(X10,identity)) = multiply(inverse(identity),inverse(X10))]. % 0.81/1.19 [30=param(11,12),[2,15,7,9], % 0.81/1.19 double_divide(inverse(inverse(X10)),inverse(X10)) = inverse(identity)]. % 0.81/1.19 [33=param(30,3),[3], % 0.81/1.19 double_divide(inverse(multiply(X10,X11)),multiply(X10,X11)) = inverse(identity)]. % 0.81/1.19 [35=param(3,13),[], % 0.81/1.19 multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X11),X10),inverse(X11)))) = inverse(X10)]. % 0.81/1.19 [40=param(23,2),[9,3], % 0.81/1.19 multiply(inverse(inverse(identity)),identity) = identity]. % 0.81/1.19 [47=param(4,17),[10], % 0.81/1.19 multiply(double_divide(identity,double_divide(identity,X10)),X11) = multiply(X10,X11)]. % 0.81/1.19 [49=param(24,18),[], % 0.81/1.19 double_divide(X10,inverse(identity)) = multiply(double_divide(identity,multiply(X10,identity)),identity)]. % 0.81/1.19 [51=demod(10),[49], % 0.81/1.19 multiply(double_divide(identity,multiply(double_divide(X10,double_divide(identity,inverse(X11))),identity)),identity) = multiply(X10,X11)]. % 0.81/1.19 [61=demod(21),[49], % 0.81/1.19 double_divide(double_divide(inverse(X11),X10),inverse(X11)) = multiply(double_divide(identity,multiply(double_divide(inverse(identity),X10),identity)),identity)]. % 0.81/1.19 [62=demod(35),[61], % 0.81/1.19 multiply(inverse(identity),double_divide(identity,multiply(double_divide(identity,multiply(double_divide(inverse(identity),X10),identity)),identity))) = inverse(X10)]. % 0.81/1.19 [64=demod(22),[49], % 0.81/1.19 multiply(double_divide(identity,multiply(double_divide(inverse(identity),inverse(inverse(X10))),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.81/1.19 [65=demod(15),[49], % 0.81/1.19 multiply(double_divide(identity,multiply(inverse(X10),identity)),identity) = multiply(X10,identity)]. % 0.81/1.19 [66=demod(24),[49], % 0.81/1.19 multiply(double_divide(identity,multiply(multiply(X10,X11),identity)),identity) = multiply(double_divide(X11,X10),identity)]. % 0.81/1.19 [69=demod(62),[-66], % 0.81/1.19 multiply(inverse(identity),double_divide(identity,multiply(double_divide(identity,multiply(double_divide(identity,multiply(multiply(X10,inverse(identity)),identity)),identity)),identity))) = inverse(X10)]. % 0.81/1.19 [71=demod(64),[-66], % 0.81/1.19 multiply(double_divide(identity,multiply(double_divide(identity,multiply(multiply(inverse(inverse(X10)),inverse(identity)),identity)),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.81/1.19 [76=param(33,18),[18], % 0.81/1.19 double_divide(inverse(X10),X10) = inverse(identity)]. % 0.81/1.19 [77=param(76,2),[], % 0.81/1.19 inverse(inverse(identity)) = inverse(identity)]. % 0.81/1.19 [80=demod(40),[77,7], % 0.81/1.19 inverse(identity) = identity]. % 0.81/1.19 [87=demod(71),[80,18], % 0.81/1.19 multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(X10))),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.81/1.19 [89=demod(69),[80,80,18,9,3,18,3,18], % 0.81/1.19 double_divide(identity,X10) = inverse(X10)]. % 0.81/1.19 [90=demod(47),[89,89], % 0.81/1.19 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.81/1.19 [94=demod(87),[89,90,89,89], % 0.81/1.19 multiply(inverse(multiply(inverse(X10),identity)),identity) = inverse(inverse(X10))]. % 0.81/1.19 [96=demod(51),[89,89,25,80,3,90,9,90], % 0.81/1.19 multiply(multiply(X10,X11),identity) = multiply(X11,X10)]. % 0.81/1.19 [97=demod(18),[96,9], % 0.81/1.19 inverse(inverse(X10)) = X10]. % 0.81/1.19 [98=demod(94),[97], % 0.81/1.19 multiply(inverse(multiply(inverse(X10),identity)),identity) = X10]. % 0.81/1.19 [106=demod(65),[89,98], % 0.81/1.19 multiply(X10,identity) = X10]. % 0.81/1.19 [108=demod(96),[106], % 0.81/1.19 multiply(X10,X11) = multiply(X11,X10)]. % 0.81/1.19 [117=param(6,108),[5], % 0.81/1.19 thmtrue = thmfalse]. % 0.81/1.19 % SZS output end CNFRefutation % 0.81/1.19 Space: 65 KB %------------------------------------------------------------------------------