%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP521-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n032.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 09:14:23 EDT 2022 % Result : Unsatisfiable 0.50s 0.89s % Output : CNFRefutation 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GRP521-1 : TPTP v8.1.0. Released v2.6.0. % 0.03/0.11 % Command : fiesta-wrapper %s % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Mon Jun 13 08:41:41 EDT 2022 % 0.10/0.30 % CPUTime : % 0.50/0.89 Theorem Proved. % 0.50/0.89 % SZS status Unsatisfiable % 0.50/0.89 % SZS output start CNFRefutation % 0.50/0.89 [1=axiom,[], % 0.50/0.89 divide(divide(X11,X11),X10) = inverse(X10)]. % 0.50/0.89 [2=axiom,[1], % 0.50/0.89 divide(X10,inverse(X11)) = multiply(X10,X11)]. % 0.50/0.89 [3=axiom,[], % 0.50/0.89 divide(X10,divide(X11,divide(X12,divide(X10,X11)))) = X12]. % 0.50/0.89 [5=axiom,[], % 0.50/0.89 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue]. % 0.50/0.89 [6=param(1,1),[], % 0.50/0.89 divide(inverse(divide(X10,X10)),X11) = inverse(X11)]. % 0.50/0.89 [7=param(1,2),[], % 0.50/0.89 multiply(divide(X11,X11),X10) = inverse(inverse(X10))]. % 0.50/0.89 [10=param(3,1),[2], % 0.50/0.89 multiply(X10,divide(X11,divide(X10,divide(X12,X12)))) = X11]. % 0.50/0.89 [11=param(3,1),[2], % 0.50/0.89 divide(X10,multiply(X11,divide(X10,X11))) = divide(X12,X12)]. % 0.50/0.89 [22=param(3,6),[2,2], % 0.50/0.89 multiply(X10,divide(X11,multiply(X10,divide(X12,X12)))) = X11]. % 0.50/0.89 [24=param(10,7),[1,2], % 0.50/0.89 inverse(inverse(multiply(X10,divide(X11,X11)))) = X10]. % 0.50/0.89 [25=param(2,24),[], % 0.50/0.89 divide(X10,X11) = multiply(X10,inverse(multiply(X11,divide(X12,X12))))]. % 0.50/0.89 [31=param(3,11),[], % 0.50/0.89 divide(X10,divide(multiply(X11,divide(X10,X11)),divide(X12,divide(X13,X13)))) = X12]. % 0.50/0.89 [32=param(11,7),[2], % 0.50/0.89 multiply(X10,inverse(divide(X10,divide(X11,X11)))) = divide(X12,X12)]. % 0.50/0.89 [36=param(3,11),[], % 0.50/0.89 divide(X10,divide(X11,divide(X12,multiply(X13,divide(X12,X13))))) = divide(X10,X11)]. % 0.50/0.89 [37=param(3,11),[36], % 0.50/0.89 divide(X10,divide(X10,X11)) = X11]. % 0.50/0.89 [40=param(37,1),[1], % 0.50/0.89 inverse(inverse(X10)) = X10]. % 0.50/0.89 [44=demod(24),[40], % 0.50/0.89 multiply(X10,divide(X11,X11)) = X10]. % 0.50/0.89 [45=demod(22),[44], % 0.50/0.89 multiply(X10,divide(X11,X10)) = X11]. % 0.50/0.89 [47=demod(31),[45,37], % 0.50/0.89 divide(X10,divide(X11,X11)) = X10]. % 0.50/0.89 [48=demod(32),[47], % 0.50/0.89 multiply(X10,inverse(X10)) = divide(X11,X11)]. % 0.50/0.89 [51=demod(25),[44], % 0.50/0.89 divide(X10,X11) = multiply(X10,inverse(X11))]. % 0.50/0.89 [52=demod(48),[51], % 0.50/0.89 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 0.50/0.89 [56=demod(45),[51], % 0.50/0.89 multiply(X10,multiply(X11,inverse(X10))) = X11]. % 0.50/0.89 [72=param(56,40),[], % 0.50/0.89 multiply(inverse(X10),multiply(X11,X10)) = X11]. % 0.50/0.89 [76=param(72,72),[], % 0.50/0.89 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.50/0.89 [79=param(76,56),[], % 0.50/0.90 multiply(inverse(X10),X11) = inverse(multiply(X10,inverse(X11)))]. % 0.50/0.90 [84=param(5,79),[79], % 0.50/0.90 thtop(inverse(multiply(a1,inverse(a1))),inverse(multiply(b1,inverse(b1)))) = thmtrue]. % 0.50/0.90 [87=param(84,52),[], % 0.50/0.90 thtop(inverse(multiply(X10,inverse(X10))),inverse(multiply(b1,inverse(b1)))) = thmtrue]. % 0.50/0.90 % SZS output end CNFRefutation % 0.50/0.90 Space: 43 KB %------------------------------------------------------------------------------