%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n008.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 09:14:36 EDT 2022 % Result : Unsatisfiable 0.40s 1.04s % Output : CNFRefutation 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0. % 0.03/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n008.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 09:54:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.40/1.04 Theorem Proved. % 0.40/1.04 % SZS status Unsatisfiable % 0.40/1.04 % SZS output start CNFRefutation % 0.40/1.04 [1=axiom,[], % 0.40/1.04 double_divide(X10,inverse(X10)) = identity]. % 0.40/1.04 [2=axiom,[], % 0.40/1.04 double_divide(X10,identity) = inverse(X10)]. % 0.40/1.04 [3=axiom,[2], % 0.40/1.04 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.40/1.04 [4=axiom,[2,2], % 0.40/1.04 double_divide(double_divide(X10,double_divide(double_divide(X11,double_divide(X10,X12)),inverse(X12))),inverse(identity)) = X11]. % 0.40/1.04 [5=axiom,[], % 0.40/1.04 thtop(X10,X10) = thmfalse]. % 0.40/1.04 [6=axiom,[], % 0.40/1.04 thtop(multiply(a,b),multiply(b,a)) = thmtrue]. % 0.40/1.04 [9=param(3,2),[], % 0.40/1.04 multiply(identity,X10) = inverse(inverse(X10))]. % 0.40/1.04 [10=param(4,1),[2], % 0.40/1.04 double_divide(double_divide(X10,double_divide(inverse(X11),inverse(inverse(X10)))),inverse(identity)) = X11]. % 0.40/1.04 [11=param(4,2),[], % 0.40/1.04 double_divide(double_divide(X10,double_divide(double_divide(X11,inverse(X10)),inverse(identity))),inverse(identity)) = X11]. % 0.40/1.04 [13=param(10,1),[2], % 0.40/1.04 double_divide(inverse(X10),inverse(identity)) = X10]. % 0.40/1.04 [15=param(3,11),[], % 0.40/1.04 multiply(inverse(identity),double_divide(X11,double_divide(double_divide(X10,inverse(X11)),inverse(identity)))) = inverse(X10)]. % 0.40/1.04 [16=param(13,3),[], % 0.40/1.04 double_divide(multiply(X10,X11),inverse(identity)) = double_divide(X11,X10)]. % 0.40/1.04 [17=param(3,13),[], % 0.40/1.04 multiply(inverse(identity),inverse(X10)) = inverse(X10)]. % 0.40/1.04 [18=param(4,13),[], % 0.40/1.04 double_divide(double_divide(inverse(X10),double_divide(double_divide(X11,X10),inverse(inverse(identity)))),inverse(identity)) = X11]. % 0.40/1.04 [19=param(11,13),[], % 0.40/1.04 double_divide(double_divide(identity,double_divide(X10,inverse(identity))),inverse(identity)) = inverse(X10)]. % 0.40/1.04 [20=param(3,16),[3], % 0.40/1.04 multiply(inverse(identity),multiply(X10,X11)) = multiply(X10,X11)]. % 0.40/1.04 [21=param(19,1),[2,13], % 0.40/1.04 inverse(identity) = identity]. % 0.40/1.04 [22=demod(20),[21,9], % 0.40/1.04 inverse(inverse(multiply(X10,X11))) = multiply(X10,X11)]. % 0.40/1.04 [24=demod(18),[21,21,2,3,21,2,3], % 0.40/1.04 multiply(multiply(X10,X11),inverse(X10)) = X11]. % 0.40/1.04 [25=demod(17),[21,9], % 0.40/1.04 inverse(inverse(inverse(X10))) = inverse(X10)]. % 0.40/1.04 [26=demod(16),[21,2], % 0.40/1.04 double_divide(X11,X10) = inverse(multiply(X10,X11))]. % 0.40/1.04 [29=demod(15),[21,26,21,26,9,22,22,26,9,22], % 0.40/1.04 inverse(multiply(multiply(inverse(X10),X11),X10)) = inverse(X11)]. % 0.40/1.04 [31=demod(13),[21,26,9,25], % 0.40/1.04 inverse(inverse(X10)) = X10]. % 0.40/1.04 [33=demod(9),[31], % 0.40/1.04 multiply(identity,X10) = X10]. % 0.40/1.04 [36=demod(4),[26,26,26,26,21,26,33,31], % 0.40/1.04 multiply(inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(X10,X11)),X12)))),X11) = X12]. % 0.40/1.04 [38=param(24,24),[], % 0.40/1.04 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 0.40/1.04 [40=param(24,38),[], % 0.40/1.04 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X10,X11))]. % 0.40/1.04 [41=demod(36),[40,31], % 0.40/1.04 multiply(multiply(X10,multiply(inverse(multiply(X10,X11)),X12)),X11) = X12]. % 0.40/1.04 [43=param(31,29),[31], % 0.40/1.04 multiply(multiply(inverse(X11),X10),X11) = X10]. % 0.40/1.04 [44=param(43,38),[], % 0.40/1.04 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.40/1.04 [45=demod(41),[44], % 0.40/1.04 multiply(multiply(X10,inverse(multiply(multiply(X10,X11),inverse(X12)))),X11) = X12]. % 0.40/1.04 [48=param(45,24),[], % 0.40/1.04 multiply(multiply(X10,inverse(X11)),X11) = X10]. % 0.40/1.04 [52=param(48,24),[], % 0.40/1.04 multiply(X10,X11) = multiply(X11,X10)]. % 0.40/1.04 [58=param(6,52),[5], % 0.40/1.04 thmtrue = thmfalse]. % 0.40/1.04 % SZS output end CNFRefutation % 0.40/1.04 Space: 30 KB %------------------------------------------------------------------------------