%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n007.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 0.41s 1.06s % Output : CNFRefutation 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0. % 0.06/0.12 % Command : fiesta-wrapper %s % 0.13/0.33 % Computer : n007.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 13 23:39:09 EDT 2022 % 0.13/0.33 % CPUTime : % 0.41/1.06 Theorem Proved. % 0.41/1.06 % SZS status Unsatisfiable % 0.41/1.06 % SZS output start CNFRefutation % 0.41/1.06 [1=axiom,[], % 0.41/1.06 double_divide(X10,inverse(X10)) = identity]. % 0.41/1.06 [2=axiom,[], % 0.41/1.06 double_divide(X10,identity) = inverse(X10)]. % 0.41/1.06 [3=axiom,[2], % 0.41/1.06 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.41/1.06 [4=axiom,[2,2], % 0.41/1.06 double_divide(double_divide(X10,double_divide(double_divide(double_divide(X11,X10),X12),inverse(X11))),inverse(identity)) = X12]. % 0.41/1.06 [5=axiom,[], % 0.41/1.06 thtop(X10,X10) = thmfalse]. % 0.41/1.06 [6=axiom,[], % 0.41/1.06 thtop(multiply(identity,a2),a2) = thmtrue]. % 0.41/1.06 [7=param(3,1),[], % 0.41/1.06 multiply(inverse(X10),X10) = inverse(identity)]. % 0.41/1.06 [8=param(1,3),[], % 0.41/1.06 double_divide(double_divide(X10,X11),multiply(X11,X10)) = identity]. % 0.41/1.06 [9=param(3,2),[], % 0.41/1.06 multiply(identity,X10) = inverse(inverse(X10))]. % 0.41/1.06 [10=param(4,1),[3], % 0.41/1.06 double_divide(double_divide(X10,double_divide(identity,inverse(X11))),inverse(identity)) = multiply(X10,X11)]. % 0.41/1.06 [11=param(4,1),[], % 0.41/1.06 double_divide(double_divide(inverse(X10),double_divide(double_divide(identity,X11),inverse(X10))),inverse(identity)) = X11]. % 0.41/1.06 [13=param(4,2),[], % 0.41/1.06 double_divide(double_divide(identity,double_divide(double_divide(inverse(X10),X11),inverse(X10))),inverse(identity)) = X11]. % 0.41/1.06 [16=param(10,1),[2], % 0.41/1.06 double_divide(inverse(X10),inverse(identity)) = multiply(X10,identity)]. % 0.41/1.06 [19=param(16,3),[], % 0.41/1.06 double_divide(multiply(X10,X11),inverse(identity)) = multiply(double_divide(X11,X10),identity)]. % 0.41/1.06 [20=param(3,16),[], % 0.41/1.06 inverse(multiply(X10,identity)) = multiply(inverse(identity),inverse(X10))]. % 0.41/1.06 [21=param(11,1),[3,2,16], % 0.41/1.06 multiply(multiply(X10,identity),identity) = X10]. % 0.41/1.06 [24=param(11,4),[2], % 0.41/1.06 double_divide(double_divide(inverse(identity),X10),inverse(identity)) = double_divide(double_divide(inverse(X11),X10),inverse(X11))]. % 0.41/1.06 [25=param(11,10),[9], % 0.41/1.06 double_divide(double_divide(inverse(identity),inverse(inverse(X10))),inverse(identity)) = double_divide(identity,inverse(X10))]. % 0.41/1.06 [26=param(8,21),[], % 0.41/1.06 double_divide(double_divide(identity,multiply(X10,identity)),X10) = identity]. % 0.41/1.06 [27=param(19,21),[], % 0.41/1.06 double_divide(X10,inverse(identity)) = multiply(double_divide(identity,multiply(X10,identity)),identity)]. % 0.41/1.06 [29=demod(10),[27], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(X10,double_divide(identity,inverse(X11))),identity)),identity) = multiply(X10,X11)]. % 0.41/1.06 [32=demod(13),[27], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(identity,double_divide(double_divide(inverse(X10),X11),inverse(X10))),identity)),identity) = X11]. % 0.41/1.06 [35=demod(24),[27], % 0.41/1.06 double_divide(double_divide(inverse(X11),X10),inverse(X11)) = multiply(double_divide(identity,multiply(double_divide(inverse(identity),X10),identity)),identity)]. % 0.41/1.06 [36=demod(32),[35], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(identity,multiply(double_divide(identity,multiply(double_divide(inverse(identity),X10),identity)),identity)),identity)),identity) = X10]. % 0.41/1.06 [37=demod(25),[27], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(inverse(identity),inverse(inverse(X10))),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.41/1.06 [38=demod(16),[27], % 0.41/1.06 multiply(double_divide(identity,multiply(inverse(X10),identity)),identity) = multiply(X10,identity)]. % 0.41/1.06 [39=demod(19),[27], % 0.41/1.06 multiply(double_divide(identity,multiply(multiply(X10,X11),identity)),identity) = multiply(double_divide(X11,X10),identity)]. % 0.41/1.06 [42=demod(36),[-39], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(identity,multiply(double_divide(identity,multiply(double_divide(identity,multiply(multiply(X10,inverse(identity)),identity)),identity)),identity)),identity)),identity) = X10]. % 0.41/1.06 [44=demod(37),[-39], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(identity,multiply(multiply(inverse(inverse(X10)),inverse(identity)),identity)),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.41/1.06 [45=param(26,2),[9,3], % 0.41/1.06 multiply(inverse(inverse(identity)),identity) = identity]. % 0.41/1.06 [50=param(38,20),[21], % 0.41/1.06 multiply(double_divide(identity,multiply(multiply(inverse(identity),inverse(X10)),identity)),identity) = X10]. % 0.41/1.06 [51=param(27,1),[9], % 0.41/1.06 multiply(double_divide(identity,inverse(inverse(identity))),identity) = identity]. % 0.41/1.06 [52=param(8,27),[], % 0.41/1.06 double_divide(double_divide(identity,double_divide(identity,multiply(X10,identity))),double_divide(X10,inverse(identity))) = identity]. % 0.41/1.06 [57=param(29,52),[9,51,9], % 0.41/1.06 multiply(double_divide(identity,double_divide(identity,inverse(inverse(identity)))),identity) = identity]. % 0.41/1.06 [59=param(29,57),[2,7,9], % 0.41/1.06 inverse(inverse(inverse(identity))) = inverse(identity)]. % 0.41/1.06 [60=param(1,59),[27,45,2,7], % 0.41/1.06 inverse(identity) = identity]. % 0.41/1.06 [65=demod(50),[60,9,38], % 0.41/1.06 multiply(inverse(inverse(X10)),identity) = X10]. % 0.41/1.06 [70=demod(44),[60,65], % 0.41/1.06 multiply(double_divide(identity,multiply(double_divide(identity,multiply(X10,identity)),identity)),identity) = double_divide(identity,inverse(X10))]. % 0.41/1.06 [73=demod(42),[60,21,70,3], % 0.41/1.06 multiply(double_divide(identity,double_divide(identity,multiply(X10,identity))),identity) = X10]. % 0.41/1.06 [75=demod(27),[60,2], % 0.41/1.06 multiply(double_divide(identity,multiply(X10,identity)),identity) = inverse(X10)]. % 0.41/1.06 [77=demod(29),[75,3], % 0.41/1.06 multiply(double_divide(identity,inverse(X10)),X11) = multiply(X11,X10)]. % 0.41/1.06 [80=demod(73),[-77,60,2,60,9,3,-77,60,2,60,9,3,21], % 0.41/1.06 inverse(inverse(X10)) = X10]. % 0.41/1.06 [87=demod(9),[80], % 0.41/1.06 multiply(identity,X10) = X10]. % 0.41/1.06 [105=param(6,87),[5], % 0.41/1.06 thmtrue = thmfalse]. % 0.41/1.06 % SZS output end CNFRefutation % 0.41/1.06 Space: 63 KB 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