%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP167-3 : 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 09:13:01 EDT 2022 % Result : Unsatisfiable 15.33s 15.78s % Output : CNFRefutation 15.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : GRP167-3 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.00/0.11 % Command : fiesta-wrapper %s % 0.11/0.30 % Computer : n032.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Mon Jun 13 12:58:56 EDT 2022 % 0.11/0.30 % CPUTime : % 15.33/15.78 Theorem Proved. % 15.33/15.78 % SZS status Unsatisfiable % 15.33/15.78 % SZS output start CNFRefutation % 15.33/15.78 [1=axiom,[], % 15.33/15.78 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 15.33/15.78 [2=axiom,[], % 15.33/15.78 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 15.33/15.78 [3=axiom,[], % 15.33/15.78 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 15.33/15.78 [4=axiom,[], % 15.33/15.78 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 15.33/15.78 [5=axiom,[], % 15.33/15.78 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 15.33/15.78 [6=axiom,[], % 15.33/15.78 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 15.33/15.78 [9=axiom,[], % 15.33/15.78 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))]. % 15.33/15.78 [10=axiom,[], % 15.33/15.78 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 15.33/15.78 [11=axiom,[], % 15.33/15.78 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 15.33/15.78 [12=axiom,[], % 15.33/15.78 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 15.33/15.78 [13=axiom,[], % 15.33/15.78 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 15.33/15.78 [14=axiom,[], % 15.33/15.78 multiply(inverse(X10),X10) = identity]. % 15.33/15.78 [15=axiom,[], % 15.33/15.78 multiply(identity,X10) = X10]. % 15.33/15.78 [16=axiom,[], % 15.33/15.78 thtop(X10,X10) = thmfalse]. % 15.33/15.78 [17=axiom,[2,3,3,15,15,11], % 15.33/15.78 thtop(a,least_upper_bound(greatest_lower_bound(a,identity),greatest_lower_bound(multiply(a,a),multiply(a,identity)))) = thmtrue]. % 15.33/15.78 [18=param(6,12),[], % 15.33/15.78 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 15.33/15.78 [21=param(5,11),[], % 15.33/15.78 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 15.33/15.78 [22=param(4,14),[], % 15.33/15.78 least_upper_bound(multiply(inverse(least_upper_bound(X10,X11)),X10),multiply(inverse(least_upper_bound(X10,X11)),X11)) = identity]. % 15.33/15.78 [38=param(6,10),[], % 15.33/15.78 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)]. % 15.33/15.78 [53=param(13,14),[15], % 15.33/15.78 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 15.33/15.78 [55=param(53,14),[], % 15.33/15.78 multiply(inverse(inverse(X10)),identity) = X10]. % 15.33/15.78 [57=param(53,53),[], % 15.33/15.78 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 15.33/15.78 [58=demod(55),[57], % 15.33/15.78 multiply(X10,identity) = X10]. % 15.33/15.78 [59=param(58,14),[], % 15.33/15.78 inverse(identity) = identity]. % 15.33/15.78 [61=param(57,14),[], % 15.33/15.78 multiply(X10,inverse(X10)) = identity]. % 15.33/15.78 [63=param(57,58),[58], % 15.33/15.78 inverse(inverse(X10)) = X10]. % 15.33/15.78 [71=param(61,13),[], % 15.33/15.78 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity]. % 15.33/15.78 [75=param(22,58),[], % 15.33/15.78 least_upper_bound(inverse(least_upper_bound(identity,X10)),multiply(inverse(least_upper_bound(identity,X10)),X10)) = identity]. % 15.33/15.78 [123=param(53,71),[58], % 15.33/15.78 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 15.33/15.78 [131=param(123,1),[], % 15.33/15.78 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))]. % 15.33/15.78 [134=param(123,13),[], % 15.33/15.78 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 15.33/15.78 [136=param(53,123),[], % 15.33/15.78 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 15.33/15.78 [151=param(136,63),[], % 15.33/15.78 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 15.33/15.78 [157=demod(75),[151,4,58,14,11], % 15.33/15.78 least_upper_bound(inverse(least_upper_bound(identity,X10)),inverse(least_upper_bound(identity,inverse(X10)))) = identity]. % 15.33/15.78 [350=param(134,14),[58], % 15.33/15.78 multiply(X10,inverse(X11)) = inverse(multiply(X11,inverse(X10)))]. % 15.33/15.78 [388=param(5,157),[12], % 15.33/15.78 greatest_lower_bound(identity,inverse(least_upper_bound(identity,X10))) = inverse(least_upper_bound(identity,X10))]. % 15.33/15.78 [397=param(6,388),[], % 15.33/15.78 least_upper_bound(identity,inverse(least_upper_bound(identity,X10))) = identity]. % 15.33/15.78 [404=param(38,388),[], % 15.33/15.78 least_upper_bound(greatest_lower_bound(X10,identity),greatest_lower_bound(X10,inverse(least_upper_bound(identity,X11)))) = greatest_lower_bound(X10,identity)]. % 15.33/15.78 [417=param(397,11),[], % 15.33/15.78 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity]. % 15.33/15.78 [422=param(2,417),[15,15], % 15.33/15.79 least_upper_bound(X10,multiply(inverse(least_upper_bound(X11,identity)),X10)) = X10]. % 15.33/15.79 [461=param(422,151),[4,58,11], % 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),multiply(inverse(X10),X11)))) = X10]. % 15.33/15.79 [567=param(461,53),[], % 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10]. % 15.33/15.79 [572=param(567,11),[], % 15.33/15.79 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10]. % 15.33/15.79 [595=param(21,572),[12], % 15.33/15.79 greatest_lower_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = inverse(least_upper_bound(X11,inverse(X10)))]. % 15.33/15.79 [601=param(572,63),[], % 15.33/15.79 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)]. % 15.33/15.79 [609=param(601,6),[11], % 15.33/15.79 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(greatest_lower_bound(X10,X11))]. % 15.33/15.79 [612=param(601,18),[11], % 15.33/15.79 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(greatest_lower_bound(X11,X10))]. % 15.33/15.79 [631=param(612,59),[], % 15.33/15.79 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))]. % 15.33/15.79 [664=param(131,14),[], % 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))]. % 15.33/15.79 [665=param(131,15),[], % 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(X10,multiply(X11,X10)))) = inverse(greatest_lower_bound(identity,X11))]. % 15.33/15.79 [1051=param(665,14),[], % 15.33/15.79 multiply(X10,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(identity,inverse(X10)))]. % 15.33/15.79 [1057=param(123,1051),[63,3,58,350,63,3,58,12], % 15.33/15.79 greatest_lower_bound(inverse(greatest_lower_bound(X10,identity)),inverse(greatest_lower_bound(X10,multiply(X10,X10)))) = inverse(X10)]. % 15.33/15.79 [2738=param(404,595),[11], % 15.33/15.79 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),greatest_lower_bound(X10,identity)) = greatest_lower_bound(X10,identity)]. % 15.33/15.79 [2741=param(567,2738),[9,609,631], % 15.33/15.79 inverse(greatest_lower_bound(X10,identity)) = least_upper_bound(identity,inverse(X10))]. % 15.33/15.79 [2745=demod(1057),[2741], % 15.33/15.79 greatest_lower_bound(least_upper_bound(identity,inverse(X10)),inverse(greatest_lower_bound(X10,multiply(X10,X10)))) = inverse(X10)]. % 15.33/15.79 [2755=param(2741,12),[], % 15.33/15.79 inverse(greatest_lower_bound(identity,X10)) = least_upper_bound(identity,inverse(X10))]. % 15.33/15.79 [2756=demod(664),[2755,4,58,123], % 15.33/15.79 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))]. % 15.33/15.79 [3141=param(2756,63),[], % 15.33/15.79 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))]. % 15.33/15.79 [3153=demod(2745),[3141], % 15.33/15.79 greatest_lower_bound(least_upper_bound(identity,inverse(X10)),least_upper_bound(inverse(X10),inverse(multiply(X10,X10)))) = inverse(X10)]. % 15.33/15.79 [3187=param(63,3141),[], % 15.33/15.79 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))]. % 15.33/15.79 [3516=demod(3153),[3187], % 15.33/15.79 inverse(least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),inverse(least_upper_bound(inverse(X10),inverse(multiply(X10,X10)))))) = inverse(X10)]. % 15.33/15.79 [3807=param(17,3187),[59,11,58,3187,11], % 15.33/15.79 thtop(a,least_upper_bound(inverse(least_upper_bound(identity,inverse(a))),inverse(least_upper_bound(inverse(a),inverse(multiply(a,a)))))) = thmtrue]. % 15.33/15.79 [5740=param(63,3516),[63], % 15.33/15.79 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),inverse(least_upper_bound(inverse(X10),inverse(multiply(X10,X10))))) = X10]. % 15.33/15.79 [5759=param(3807,5740),[16], % 15.33/15.79 thmtrue = thmfalse]. % 15.33/15.79 % SZS output end CNFRefutation % 15.33/15.79 Space: 82941 KB %------------------------------------------------------------------------------