%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP184-2 : 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 09:13:11 EDT 2022 % Result : Unsatisfiable 0.64s 1.01s % Output : CNFRefutation 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.08 % Problem : GRP184-2 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.02/0.09 % Command : fiesta-wrapper %s % 0.09/0.28 % Computer : n013.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Mon Jun 13 09:01:59 EDT 2022 % 0.09/0.28 % CPUTime : % 0.64/1.01 Theorem Proved. % 0.64/1.01 % SZS status Unsatisfiable % 0.64/1.01 % SZS output start CNFRefutation % 0.64/1.01 [1=axiom,[], % 0.64/1.01 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))]. % 0.64/1.01 [2=axiom,[], % 0.64/1.01 inverse(inverse(X10)) = X10]. % 0.64/1.01 [3=axiom,[], % 0.64/1.01 inverse(identity) = identity]. % 0.64/1.01 [4=axiom,[], % 0.64/1.01 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.64/1.01 [5=axiom,[], % 0.64/1.01 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.64/1.01 [6=axiom,[], % 0.64/1.01 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.64/1.01 [7=axiom,[], % 0.64/1.01 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.64/1.01 [14=axiom,[], % 0.64/1.01 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.64/1.01 [17=axiom,[], % 0.64/1.01 multiply(inverse(X10),X10) = identity]. % 0.64/1.01 [18=axiom,[], % 0.64/1.01 multiply(identity,X10) = X10]. % 0.64/1.01 [19=axiom,[], % 0.64/1.01 thtop(X10,X10) = thmfalse]. % 0.64/1.01 [20=axiom,[5,18,14,7], % 0.64/1.01 thtop(least_upper_bound(inverse(greatest_lower_bound(a,identity)),multiply(a,inverse(greatest_lower_bound(a,identity)))),least_upper_bound(multiply(inverse(greatest_lower_bound(a,identity)),a),multiply(inverse(greatest_lower_bound(a,identity)),identity))) = thmtrue]. % 0.64/1.01 [23=param(1,3),[18], % 0.64/1.01 inverse(multiply(X10,identity)) = inverse(X10)]. % 0.64/1.01 [24=param(2,1),[], % 0.64/1.01 inverse(multiply(inverse(X10),inverse(X11))) = multiply(X11,X10)]. % 0.64/1.01 [25=param(1,2),[], % 0.64/1.01 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))]. % 0.64/1.01 [26=param(1,2),[], % 0.64/1.01 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 0.64/1.01 [28=param(17,1),[-25], % 0.64/1.01 multiply(X10,inverse(X10)) = identity]. % 0.64/1.01 [33=param(2,23),[2], % 0.64/1.01 multiply(X10,identity) = X10]. % 0.64/1.01 [76=param(20,24),[2,4,28,25,3,33,26,6,17,33,26,3,6,18,33,14,19], % 0.64/1.01 thmtrue = thmfalse]. % 0.64/1.01 % SZS output end CNFRefutation % 0.64/1.01 Space: 73 KB %------------------------------------------------------------------------------