%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n027.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 09:13:00 EDT 2022 % Result : Unsatisfiable 0.70s 1.08s % Output : CNFRefutation 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP166-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.06/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n027.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 07:58:33 EDT 2022 % 0.12/0.33 % CPUTime : % 0.70/1.08 Theorem Proved. % 0.70/1.08 % SZS status Unsatisfiable % 0.70/1.08 % SZS output start CNFRefutation % 0.70/1.08 [1=axiom,[], % 0.70/1.08 least_upper_bound(b,identity) = b]. % 0.70/1.08 [6=axiom,[], % 0.70/1.08 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.70/1.08 [13=axiom,[], % 0.70/1.08 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.70/1.08 [15=axiom,[], % 0.70/1.08 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.70/1.08 [16=axiom,[], % 0.70/1.08 multiply(inverse(X10),X10) = identity]. % 0.70/1.08 [17=axiom,[], % 0.70/1.08 multiply(identity,X10) = X10]. % 0.70/1.08 [18=axiom,[], % 0.70/1.08 thtop(X10,X10) = thmfalse]. % 0.70/1.08 [19=axiom,[], % 0.70/1.08 thtop(least_upper_bound(a,multiply(a,b)),multiply(a,b)) = thmtrue]. % 0.70/1.08 [31=param(6,1),[], % 0.70/1.08 least_upper_bound(multiply(X10,b),multiply(X10,identity)) = multiply(X10,b)]. % 0.70/1.08 [73=param(15,16),[17], % 0.70/1.08 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.70/1.08 [83=param(73,16),[], % 0.70/1.08 multiply(inverse(inverse(X10)),identity) = X10]. % 0.70/1.08 [85=param(73,73),[], % 0.70/1.08 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.70/1.08 [86=demod(83),[85], % 0.70/1.08 multiply(X10,identity) = X10]. % 0.70/1.08 [91=demod(31),[86,13], % 0.70/1.08 least_upper_bound(X10,multiply(X10,b)) = multiply(X10,b)]. % 0.70/1.08 [381=param(19,91),[18], % 0.70/1.08 thmtrue = thmfalse]. % 0.70/1.08 % SZS output end CNFRefutation % 0.70/1.08 Space: 277 KB %------------------------------------------------------------------------------