%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP185-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n013.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 09:13:12 EDT 2022 % Result : Unsatisfiable 0.71s 1.11s % Output : CNFRefutation 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GRP185-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.06/0.12 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n013.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 : Tue Jun 14 08:12:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.71/1.11 Theorem Proved. % 0.71/1.11 % SZS status Unsatisfiable % 0.71/1.11 % SZS output start CNFRefutation % 0.71/1.11 [2=axiom,[], % 0.71/1.11 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.71/1.11 [4=axiom,[], % 0.71/1.11 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.71/1.11 [5=axiom,[], % 0.71/1.11 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 0.71/1.11 [6=axiom,[], % 0.71/1.11 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 0.71/1.11 [9=axiom,[], % 0.71/1.11 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))]. % 0.71/1.11 [11=axiom,[], % 0.71/1.11 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.71/1.11 [12=axiom,[], % 0.71/1.11 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 0.71/1.11 [13=axiom,[], % 0.71/1.11 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.71/1.11 [14=axiom,[], % 0.71/1.11 multiply(inverse(X10),X10) = identity]. % 0.71/1.11 [15=axiom,[], % 0.71/1.11 multiply(identity,X10) = X10]. % 0.71/1.11 [16=axiom,[], % 0.71/1.11 thtop(X10,X10) = thmfalse]. % 0.71/1.11 [17=axiom,[11,2,4,4,15,15,11,9,9,2,4,4,15,15,11,9], % 0.71/1.11 thtop(least_upper_bound(identity,least_upper_bound(multiply(a,b),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),multiply(a,identity)))))),least_upper_bound(b,least_upper_bound(identity,least_upper_bound(multiply(a,b),multiply(a,identity))))) = thmtrue]. % 0.71/1.11 [18=param(6,12),[], % 0.71/1.11 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 0.71/1.11 [20=param(18,5),[11], % 0.71/1.11 least_upper_bound(X10,least_upper_bound(X10,X11)) = least_upper_bound(X10,X11)]. % 0.71/1.11 [21=param(5,11),[], % 0.71/1.11 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 0.71/1.11 [29=param(9,11),[], % 0.71/1.11 least_upper_bound(X10,least_upper_bound(X11,X12)) = least_upper_bound(X12,least_upper_bound(X10,X11))]. % 0.71/1.11 [33=param(21,9),[], % 0.71/1.11 greatest_lower_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = X10]. % 0.71/1.11 [53=param(13,14),[15], % 0.71/1.11 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.71/1.11 [55=param(53,14),[], % 0.71/1.11 multiply(inverse(inverse(X10)),identity) = X10]. % 0.71/1.11 [57=param(53,53),[], % 0.71/1.11 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.71/1.11 [58=demod(55),[57], % 0.71/1.11 multiply(X10,identity) = X10]. % 0.71/1.11 [89=param(18,33),[11], % 0.71/1.11 least_upper_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X10))) = least_upper_bound(X11,least_upper_bound(X12,X10))]. % 0.71/1.11 [104=param(29,9),[9], % 0.71/1.11 least_upper_bound(X10,least_upper_bound(X11,least_upper_bound(X12,X13))) = least_upper_bound(X11,least_upper_bound(X12,least_upper_bound(X13,X10)))]. % 0.71/1.11 [106=param(17,29),[58,11,11,104,29,11,89,20,58,11,16], % 0.71/1.11 thmtrue = thmfalse]. % 0.71/1.11 % SZS output end CNFRefutation % 0.71/1.11 Space: 94 KB %------------------------------------------------------------------------------