%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n005.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 09:13:05 EDT 2022 % Result : Unsatisfiable 0.46s 1.09s % Output : CNFRefutation 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP173-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.07/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n005.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 13 19:14:39 EDT 2022 % 0.13/0.34 % CPUTime : % 0.46/1.09 Theorem Proved. % 0.46/1.09 % SZS status Unsatisfiable % 0.46/1.09 % SZS output start CNFRefutation % 0.46/1.09 [1=axiom,[], % 0.46/1.09 least_upper_bound(identity,inverse(a)) = identity]. % 0.46/1.09 [2=axiom,[], % 0.46/1.09 least_upper_bound(identity,a) = identity]. % 0.46/1.09 [4=axiom,[], % 0.46/1.09 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.46/1.09 [13=axiom,[], % 0.46/1.09 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.46/1.09 [14=demod(2),[13], % 0.46/1.09 least_upper_bound(a,identity) = identity]. % 0.46/1.09 [17=axiom,[], % 0.46/1.09 multiply(inverse(X10),X10) = identity]. % 0.46/1.09 [18=axiom,[], % 0.46/1.09 multiply(identity,X10) = X10]. % 0.46/1.09 [19=axiom,[], % 0.46/1.09 thtop(X10,X10) = thmfalse]. % 0.46/1.09 [20=axiom,[], % 0.46/1.09 thtop(identity,a) = thmtrue]. % 0.46/1.09 [21=param(4,1),[18,18], % 0.46/1.09 least_upper_bound(X10,multiply(inverse(a),X10)) = X10]. % 0.46/1.09 [78=param(21,17),[14], % 0.46/1.09 identity = a]. % 0.46/1.09 [85=param(20,78),[19], % 0.46/1.09 thmtrue = thmfalse]. % 0.46/1.09 % SZS output end CNFRefutation % 0.46/1.09 Space: 44 KB %------------------------------------------------------------------------------