%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n029.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 09:14:13 EDT 2022 % Result : Unsatisfiable 0.42s 1.08s % Output : CNFRefutation 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP483-1 : TPTP v8.1.0. Released v2.6.0. % 0.11/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n029.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 : Tue Jun 14 10:58:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.42/1.08 Theorem Proved. % 0.42/1.08 % SZS status Unsatisfiable % 0.42/1.08 % SZS output start CNFRefutation % 0.42/1.08 [1=axiom,[], % 0.42/1.08 double_divide(X10,inverse(X10)) = identity]. % 0.42/1.08 [2=axiom,[], % 0.42/1.08 double_divide(X10,identity) = inverse(X10)]. % 0.42/1.08 [3=axiom,[2], % 0.42/1.08 inverse(double_divide(X11,X10)) = multiply(X10,X11)]. % 0.42/1.08 [4=axiom,[2,2,1,2,2], % 0.42/1.08 double_divide(double_divide(double_divide(X10,inverse(X11)),double_divide(inverse(X12),inverse(X10))),X11) = X12]. % 0.42/1.08 [5=axiom,[], % 0.42/1.08 thtop(X10,X10) = thmfalse]. % 0.42/1.08 [6=axiom,[], % 0.42/1.08 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue]. % 0.42/1.08 [7=param(3,1),[], % 0.42/1.08 multiply(inverse(X10),X10) = inverse(identity)]. % 0.42/1.08 [9=param(3,2),[], % 0.42/1.08 multiply(identity,X10) = inverse(inverse(X10))]. % 0.42/1.08 [10=param(4,1),[], % 0.42/1.08 double_divide(double_divide(identity,double_divide(inverse(X10),inverse(X11))),X11) = X10]. % 0.42/1.08 [11=param(4,1),[2,3], % 0.42/1.08 double_divide(multiply(inverse(X10),inverse(X11)),X10) = X11]. % 0.42/1.08 [13=param(3,4),[], % 0.42/1.08 multiply(X11,double_divide(double_divide(X12,inverse(X11)),double_divide(inverse(X10),inverse(X12)))) = inverse(X10)]. % 0.42/1.08 [17=param(3,11),[], % 0.42/1.08 multiply(X11,multiply(inverse(X11),inverse(X10))) = inverse(X10)]. % 0.42/1.08 [18=param(11,7),[], % 0.42/1.08 double_divide(inverse(identity),inverse(X10)) = X10]. % 0.42/1.08 [19=param(18,1),[], % 0.42/1.08 inverse(identity) = identity]. % 0.42/1.08 [20=demod(18),[19], % 0.42/1.08 double_divide(identity,inverse(X10)) = X10]. % 0.42/1.08 [25=param(10,2),[19,2,20], % 0.42/1.08 inverse(inverse(X10)) = X10]. % 0.42/1.08 [26=demod(9),[25], % 0.42/1.08 multiply(identity,X10) = X10]. % 0.42/1.08 [31=param(4,19),[20], % 0.42/1.08 double_divide(double_divide(double_divide(X10,inverse(X11)),X10),X11) = identity]. % 0.42/1.08 [32=param(4,19),[20,2,25], % 0.42/1.08 double_divide(double_divide(X10,X11),X10) = X11]. % 0.42/1.08 [33=demod(31),[32], % 0.42/1.08 double_divide(inverse(X10),X10) = identity]. % 0.42/1.08 [38=param(25,3),[], % 0.42/1.08 double_divide(X11,X10) = inverse(multiply(X10,X11))]. % 0.42/1.08 [40=demod(32),[38,38], % 0.42/1.08 inverse(multiply(X10,inverse(multiply(X11,X10)))) = X11]. % 0.42/1.08 [41=demod(33),[38], % 0.42/1.08 inverse(multiply(X10,inverse(X10))) = identity]. % 0.42/1.08 [44=demod(13),[38,38,38], % 0.42/1.08 multiply(X10,inverse(multiply(inverse(multiply(inverse(X11),inverse(X12))),inverse(multiply(inverse(X10),X11))))) = inverse(X12)]. % 0.42/1.08 [48=param(25,41),[19], % 0.42/1.08 multiply(X10,inverse(X10)) = identity]. % 0.42/1.08 [50=param(25,40),[], % 0.42/1.08 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 0.42/1.08 [52=param(50,50),[25], % 0.42/1.08 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.42/1.08 [53=param(52,17),[25], % 0.42/1.08 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 0.42/1.08 [56=param(44,48),[19,26,25,25], % 0.42/1.08 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.42/1.08 [59=param(44,56),[25,53,25,25,25], % 0.42/1.08 multiply(X10,multiply(X11,multiply(inverse(multiply(X10,X11)),inverse(X12)))) = inverse(X12)]. % 0.42/1.08 [97=param(59,25),[25], % 0.42/1.08 multiply(X10,multiply(X11,multiply(inverse(multiply(X10,X11)),X12))) = X12]. % 0.42/1.08 [107=param(97,56),[25], % 0.42/1.08 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.42/1.08 [119=param(6,107),[5], % 0.42/1.08 thmtrue = thmfalse]. % 0.42/1.08 % SZS output end CNFRefutation % 0.42/1.08 Space: 96 KB %------------------------------------------------------------------------------