%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n032.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 3.34s 3.75s % Output : CNFRefutation 3.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : GRP183-4 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.10/0.11 % Command : fiesta-wrapper %s % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Tue Jun 14 04:12:42 EDT 2022 % 0.10/0.30 % CPUTime : % 3.34/3.75 Theorem Proved. % 3.34/3.75 % SZS status Unsatisfiable % 3.34/3.75 % SZS output start CNFRefutation % 3.34/3.75 [1=axiom,[], % 3.34/3.75 inverse(multiply(X10,X11)) = multiply(inverse(X11),inverse(X10))]. % 3.34/3.75 [2=axiom,[], % 3.34/3.75 inverse(inverse(X10)) = X10]. % 3.34/3.75 [3=axiom,[], % 3.34/3.75 inverse(identity) = identity]. % 3.34/3.75 [4=axiom,[], % 3.34/3.75 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 3.34/3.75 [5=axiom,[], % 3.34/3.75 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 3.34/3.75 [6=axiom,[], % 3.34/3.75 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 3.34/3.75 [7=axiom,[], % 3.34/3.75 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 3.34/3.75 [8=axiom,[], % 3.34/3.75 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 3.34/3.75 [9=axiom,[], % 3.34/3.75 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 3.34/3.75 [12=axiom,[], % 3.34/3.75 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))]. % 3.34/3.75 [13=axiom,[], % 3.34/3.75 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 3.34/3.75 [14=axiom,[], % 3.34/3.75 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 3.34/3.75 [15=axiom,[], % 3.34/3.75 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 3.34/3.75 [16=axiom,[], % 3.34/3.75 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 3.34/3.75 [17=axiom,[], % 3.34/3.75 multiply(inverse(X10),X10) = identity]. % 3.34/3.75 [18=axiom,[], % 3.34/3.75 multiply(identity,X10) = X10]. % 3.34/3.75 [19=axiom,[], % 3.34/3.75 thtop(X10,X10) = thmfalse]. % 3.34/3.75 [20=axiom,[14], % 3.34/3.75 thtop(greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(identity,inverse(a))),identity) = thmtrue]. % 3.34/3.75 [23=param(1,3),[18], % 3.34/3.75 inverse(multiply(X10,identity)) = inverse(X10)]. % 3.34/3.75 [25=param(1,2),[], % 3.34/3.75 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))]. % 3.34/3.75 [28=param(17,1),[-25], % 3.34/3.75 multiply(X10,inverse(X10)) = identity]. % 3.34/3.75 [30=param(28,4),[], % 3.34/3.75 greatest_lower_bound(multiply(X10,inverse(greatest_lower_bound(X10,X11))),multiply(X11,inverse(greatest_lower_bound(X10,X11)))) = identity]. % 3.34/3.75 [31=param(5,28),[], % 3.34/3.75 least_upper_bound(multiply(X10,inverse(least_upper_bound(X10,X11))),multiply(X11,inverse(least_upper_bound(X10,X11)))) = identity]. % 3.34/3.75 [33=param(2,23),[2], % 3.34/3.75 multiply(X10,identity) = X10]. % 3.34/3.75 [34=param(9,15),[], % 3.34/3.75 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 3.34/3.75 [36=param(8,12),[], % 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,X11),least_upper_bound(X10,least_upper_bound(X11,X12))) = least_upper_bound(X10,X11)]. % 3.34/3.75 [42=param(8,14),[], % 3.34/3.75 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 3.34/3.75 [48=param(34,42),[14], % 3.34/3.75 least_upper_bound(X10,least_upper_bound(X11,X10)) = least_upper_bound(X11,X10)]. % 3.34/3.75 [52=param(13,15),[], % 3.34/3.75 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))]. % 3.34/3.75 [64=param(16,17),[18], % 3.34/3.75 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 3.34/3.75 [66=param(16,28),[18], % 3.34/3.75 multiply(X11,multiply(inverse(X11),X10)) = X10]. % 3.34/3.75 [67=param(66,1),[], % 3.34/3.75 multiply(X10,inverse(multiply(X11,X10))) = inverse(X11)]. % 3.34/3.75 [76=param(67,4),[], % 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))]. % 3.34/3.75 [77=param(67,5),[], % 3.34/3.75 multiply(X10,inverse(least_upper_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(least_upper_bound(X11,X12))]. % 3.34/3.75 [122=param(31,18),[14], % 3.34/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),multiply(X10,inverse(least_upper_bound(X10,identity)))) = identity]. % 3.34/3.75 [124=param(48,31),[14,31], % 3.34/3.75 least_upper_bound(identity,multiply(X10,inverse(least_upper_bound(X11,X10)))) = identity]. % 3.34/3.75 [126=param(7,124),[33,33], % 3.34/3.75 least_upper_bound(X10,multiply(X10,multiply(X11,inverse(least_upper_bound(X12,X11))))) = X10]. % 3.34/3.75 [370=param(76,17),[], % 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))]. % 3.34/3.75 [371=param(76,18),[], % 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))]. % 3.34/3.75 [381=param(77,18),[], % 3.34/3.75 multiply(X10,inverse(least_upper_bound(X10,multiply(X11,X10)))) = inverse(least_upper_bound(identity,X11))]. % 3.34/3.75 [382=param(381,17),[], % 3.34/3.75 multiply(X10,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(identity,inverse(X10)))]. % 3.34/3.75 [383=demod(122),[382], % 3.34/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),inverse(least_upper_bound(identity,inverse(X10)))) = identity]. % 3.34/3.75 [393=param(371,17),[], % 3.34/3.75 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))]. % 3.34/3.75 [402=param(30,393),[18], % 3.34/3.75 greatest_lower_bound(inverse(greatest_lower_bound(identity,inverse(X10))),inverse(greatest_lower_bound(X10,identity))) = identity]. % 3.34/3.75 [413=param(34,402),[14], % 3.34/3.75 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))]. % 3.34/3.75 [421=param(8,413),[], % 3.34/3.75 greatest_lower_bound(identity,inverse(greatest_lower_bound(X10,identity))) = identity]. % 3.34/3.75 [423=param(36,413),[], % 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,identity),least_upper_bound(X10,inverse(greatest_lower_bound(X11,identity)))) = least_upper_bound(X10,identity)]. % 3.34/3.75 [431=param(6,421),[33,33], % 3.34/3.75 greatest_lower_bound(X10,multiply(X10,inverse(greatest_lower_bound(X11,identity)))) = X10]. % 3.34/3.75 [439=param(431,393),[], % 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(identity,inverse(X10)))) = X10]. % 3.34/3.75 [440=param(439,2),[], % 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(identity,X10))) = inverse(X10)]. % 3.34/3.75 [457=param(440,42),[3,15], % 3.34/3.75 greatest_lower_bound(identity,inverse(least_upper_bound(X10,identity))) = inverse(least_upper_bound(X10,identity))]. % 3.34/3.75 [760=param(126,64),[], % 3.34/3.75 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)]. % 3.34/3.75 [761=param(126,66),[], % 3.34/3.75 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10]. % 3.34/3.75 [769=param(761,14),[], % 3.34/3.75 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10]. % 3.34/3.75 [785=param(769,2),[], % 3.34/3.75 least_upper_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(X10)]. % 3.34/3.75 [816=param(42,785),[15], % 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X10,X11))) = inverse(least_upper_bound(X10,X11))]. % 3.34/3.75 [832=param(42,760),[15], % 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(least_upper_bound(X11,X10))]. % 3.34/3.75 [842=param(832,34),[15,34], % 3.34/3.75 greatest_lower_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(X10)]. % 3.34/3.75 [859=param(842,2),[2], % 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(X11,inverse(X10)))) = X10]. % 3.34/3.75 [871=param(859,15),[], % 3.34/3.75 greatest_lower_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = X10]. % 3.34/3.75 [888=param(34,871),[14], % 3.34/3.75 least_upper_bound(X10,inverse(greatest_lower_bound(inverse(X10),X11))) = inverse(greatest_lower_bound(inverse(X10),X11))]. % 3.34/3.75 [3049=param(423,888),[15], % 3.34/3.75 greatest_lower_bound(least_upper_bound(X10,identity),inverse(greatest_lower_bound(identity,inverse(X10)))) = least_upper_bound(X10,identity)]. % 3.34/3.75 [3052=param(842,3049),[2,15,52,15,457,816,2], % 3.34/3.75 greatest_lower_bound(identity,inverse(X10)) = inverse(least_upper_bound(X10,identity))]. % 3.34/3.75 [3080=param(3052,2),[14], % 3.34/3.75 greatest_lower_bound(identity,X10) = inverse(least_upper_bound(identity,inverse(X10)))]. % 3.34/3.75 [3087=demod(370),[3080,2,7,33,67], % 3.34/3.75 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))]. % 3.34/3.75 [3579=param(3087,2),[], % 3.34/3.75 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))]. % 3.34/3.75 [3638=param(2,3579),[], % 3.34/3.75 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))]. % 3.34/3.75 [4235=param(20,14),[14,3638,383,3,19], % 3.34/3.75 thmtrue = thmfalse]. % 3.34/3.75 % SZS output end CNFRefutation % 3.34/3.75 Space: 18919 KB %------------------------------------------------------------------------------