%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n003.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 09:13:04 EDT 2022 % Result : Unsatisfiable 0.71s 1.12s % Output : CNFRefutation 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP171-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.12/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n003.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jun 13 22:29:24 EDT 2022 % 0.12/0.34 % CPUTime : % 0.71/1.12 Theorem Proved. % 0.71/1.12 % SZS status Unsatisfiable % 0.71/1.12 % SZS output start CNFRefutation % 0.71/1.12 [1=axiom,[], % 0.71/1.12 least_upper_bound(identity,b) = b]. % 0.71/1.12 [2=axiom,[], % 0.71/1.12 least_upper_bound(identity,a) = a]. % 0.71/1.12 [6=axiom,[], % 0.71/1.12 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.71/1.12 [7=axiom,[], % 0.71/1.12 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 0.71/1.12 [8=axiom,[], % 0.71/1.12 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 0.71/1.12 [11=axiom,[], % 0.71/1.12 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))]. % 0.71/1.12 [13=axiom,[], % 0.71/1.12 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.71/1.12 [14=demod(1),[13], % 0.71/1.12 least_upper_bound(b,identity) = b]. % 0.71/1.12 [15=demod(2),[13], % 0.71/1.12 least_upper_bound(a,identity) = a]. % 0.71/1.12 [16=axiom,[], % 0.71/1.12 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 0.71/1.12 [17=axiom,[], % 0.71/1.12 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.71/1.12 [18=axiom,[], % 0.71/1.12 multiply(inverse(X10),X10) = identity]. % 0.71/1.12 [19=axiom,[], % 0.71/1.12 multiply(identity,X10) = X10]. % 0.71/1.12 [20=axiom,[], % 0.71/1.12 thtop(X10,X10) = thmfalse]. % 0.71/1.12 [21=axiom,[], % 0.71/1.12 thtop(least_upper_bound(identity,multiply(a,b)),multiply(a,b)) = thmtrue]. % 0.71/1.12 [25=param(8,16),[], % 0.71/1.12 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 0.71/1.12 [26=param(6,14),[], % 0.71/1.12 least_upper_bound(multiply(X10,b),multiply(X10,identity)) = multiply(X10,b)]. % 0.71/1.12 [30=param(7,13),[], % 0.71/1.12 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 0.71/1.12 [42=param(30,11),[], % 0.71/1.12 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = X10]. % 0.71/1.12 [65=param(17,18),[19], % 0.71/1.12 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.71/1.12 [71=param(65,18),[], % 0.71/1.12 multiply(inverse(inverse(X10)),identity) = X10]. % 0.71/1.12 [73=param(65,65),[], % 0.71/1.12 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.71/1.12 [74=demod(71),[73], % 0.71/1.12 multiply(X10,identity) = X10]. % 0.71/1.12 [78=demod(26),[74,13], % 0.71/1.12 least_upper_bound(X10,multiply(X10,b)) = multiply(X10,b)]. % 0.71/1.12 [279=param(42,15),[], % 0.71/1.12 greatest_lower_bound(identity,least_upper_bound(X10,a)) = identity]. % 0.71/1.12 [303=param(279,13),[], % 0.71/1.12 greatest_lower_bound(identity,least_upper_bound(a,X10)) = identity]. % 0.71/1.12 [310=param(303,78),[], % 0.71/1.12 greatest_lower_bound(identity,multiply(a,b)) = identity]. % 0.71/1.12 [316=param(25,310),[13], % 0.71/1.12 least_upper_bound(identity,multiply(a,b)) = multiply(a,b)]. % 0.71/1.12 [426=param(21,316),[20], % 0.71/1.12 thmtrue = thmfalse]. % 0.71/1.12 % SZS output end CNFRefutation % 0.71/1.12 Space: 298 KB %------------------------------------------------------------------------------