%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n012.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 09:13:10 EDT 2022 % Result : Unsatisfiable 3.32s 3.75s % Output : CNFRefutation 3.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP183-3 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.12/0.34 % Computer : n012.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 04:57:41 EDT 2022 % 0.12/0.34 % CPUTime : % 3.32/3.75 Theorem Proved. % 3.32/3.75 % SZS status Unsatisfiable % 3.32/3.75 % SZS output start CNFRefutation % 3.32/3.75 [1=axiom,[], % 3.32/3.75 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 3.32/3.75 [2=axiom,[], % 3.32/3.75 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 3.32/3.75 [4=axiom,[], % 3.32/3.75 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 3.32/3.75 [5=axiom,[], % 3.32/3.75 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 3.32/3.75 [6=axiom,[], % 3.32/3.75 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 3.32/3.75 [9=axiom,[], % 3.32/3.75 least_upper_bound(least_upper_bound(X10,X11),X12) = least_upper_bound(X10,least_upper_bound(X11,X12))]. % 3.32/3.75 [10=axiom,[], % 3.32/3.75 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 3.32/3.75 [11=axiom,[], % 3.32/3.75 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 3.32/3.75 [12=axiom,[], % 3.32/3.75 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 3.32/3.75 [13=axiom,[], % 3.32/3.75 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 3.32/3.75 [14=axiom,[], % 3.32/3.75 multiply(inverse(X10),X10) = identity]. % 3.32/3.75 [15=axiom,[], % 3.32/3.75 multiply(identity,X10) = X10]. % 3.32/3.75 [16=axiom,[], % 3.32/3.75 thtop(X10,X10) = thmfalse]. % 3.32/3.75 [17=axiom,[11], % 3.32/3.75 thtop(greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(identity,inverse(a))),identity) = thmtrue]. % 3.32/3.75 [18=param(6,12),[], % 3.32/3.75 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 3.32/3.75 [21=param(5,11),[], % 3.32/3.75 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 3.32/3.75 [22=param(4,14),[], % 3.32/3.75 least_upper_bound(multiply(inverse(least_upper_bound(X10,X11)),X10),multiply(inverse(least_upper_bound(X10,X11)),X11)) = identity]. % 3.32/3.75 [38=param(6,10),[], % 3.32/3.75 least_upper_bound(greatest_lower_bound(X10,X11),greatest_lower_bound(X10,greatest_lower_bound(X11,X12))) = greatest_lower_bound(X10,X11)]. % 3.32/3.75 [53=param(13,14),[15], % 3.32/3.75 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 3.32/3.75 [55=param(53,14),[], % 3.32/3.75 multiply(inverse(inverse(X10)),identity) = X10]. % 3.32/3.75 [57=param(53,53),[], % 3.32/3.75 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 3.32/3.75 [58=demod(55),[57], % 3.32/3.75 multiply(X10,identity) = X10]. % 3.32/3.75 [59=param(58,14),[], % 3.32/3.75 inverse(identity) = identity]. % 3.32/3.75 [65=param(57,14),[], % 3.32/3.75 multiply(X10,inverse(X10)) = identity]. % 3.32/3.75 [67=param(57,58),[58], % 3.32/3.75 inverse(inverse(X10)) = X10]. % 3.32/3.75 [71=param(22,58),[], % 3.32/3.75 least_upper_bound(inverse(least_upper_bound(identity,X10)),multiply(inverse(least_upper_bound(identity,X10)),X10)) = identity]. % 3.32/3.75 [72=param(22,58),[11], % 3.32/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),multiply(inverse(least_upper_bound(X10,identity)),X10)) = identity]. % 3.32/3.75 [75=param(65,13),[], % 3.32/3.75 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity]. % 3.32/3.75 [129=param(53,75),[58], % 3.32/3.75 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 3.32/3.75 [131=param(129,1),[], % 3.32/3.75 multiply(X10,inverse(greatest_lower_bound(multiply(X11,X10),multiply(X12,X10)))) = inverse(greatest_lower_bound(X11,X12))]. % 3.32/3.75 [136=param(53,129),[], % 3.32/3.75 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 3.32/3.75 [157=param(136,67),[], % 3.32/3.75 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 3.32/3.75 [162=demod(72),[157,4,14,58], % 3.32/3.75 least_upper_bound(inverse(least_upper_bound(X10,identity)),inverse(least_upper_bound(identity,inverse(X10)))) = identity]. % 3.32/3.75 [163=demod(71),[157,4,58,14,11], % 3.32/3.75 least_upper_bound(inverse(least_upper_bound(identity,X10)),inverse(least_upper_bound(identity,inverse(X10)))) = identity]. % 3.32/3.75 [388=param(5,163),[12], % 3.32/3.75 greatest_lower_bound(identity,inverse(least_upper_bound(identity,X10))) = inverse(least_upper_bound(identity,X10))]. % 3.32/3.75 [396=param(6,388),[], % 3.32/3.75 least_upper_bound(identity,inverse(least_upper_bound(identity,X10))) = identity]. % 3.32/3.75 [403=param(38,388),[], % 3.32/3.75 least_upper_bound(greatest_lower_bound(X10,identity),greatest_lower_bound(X10,inverse(least_upper_bound(identity,X11)))) = greatest_lower_bound(X10,identity)]. % 3.32/3.75 [414=param(396,11),[], % 3.32/3.75 least_upper_bound(identity,inverse(least_upper_bound(X10,identity))) = identity]. % 3.32/3.75 [419=param(2,414),[15,15], % 3.32/3.75 least_upper_bound(X10,multiply(inverse(least_upper_bound(X11,identity)),X10)) = X10]. % 3.32/3.75 [463=param(419,157),[4,58,11], % 3.32/3.75 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),multiply(inverse(X10),X11)))) = X10]. % 3.32/3.75 [557=param(463,53),[], % 3.32/3.75 least_upper_bound(X10,inverse(least_upper_bound(inverse(X10),X11))) = X10]. % 3.32/3.75 [562=param(557,11),[], % 3.32/3.75 least_upper_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = X10]. % 3.32/3.75 [585=param(21,562),[12], % 3.32/3.75 greatest_lower_bound(X10,inverse(least_upper_bound(X11,inverse(X10)))) = inverse(least_upper_bound(X11,inverse(X10)))]. % 3.32/3.75 [591=param(562,67),[], % 3.32/3.75 least_upper_bound(inverse(X10),inverse(least_upper_bound(X11,X10))) = inverse(X10)]. % 3.32/3.75 [599=param(591,6),[11], % 3.32/3.75 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X10,X11))) = inverse(greatest_lower_bound(X10,X11))]. % 3.32/3.75 [602=param(591,18),[11], % 3.32/3.75 least_upper_bound(inverse(X10),inverse(greatest_lower_bound(X11,X10))) = inverse(greatest_lower_bound(X11,X10))]. % 3.32/3.75 [624=param(602,59),[], % 3.32/3.75 least_upper_bound(identity,inverse(greatest_lower_bound(X10,identity))) = inverse(greatest_lower_bound(X10,identity))]. % 3.32/3.75 [688=param(131,14),[], % 3.32/3.75 multiply(X10,inverse(greatest_lower_bound(identity,multiply(X11,X10)))) = inverse(greatest_lower_bound(inverse(X10),X11))]. % 3.32/3.75 [2744=param(403,585),[11], % 3.32/3.75 least_upper_bound(inverse(least_upper_bound(identity,inverse(X10))),greatest_lower_bound(X10,identity)) = greatest_lower_bound(X10,identity)]. % 3.32/3.75 [2748=param(557,2744),[9,599,624], % 3.32/3.75 inverse(greatest_lower_bound(X10,identity)) = least_upper_bound(identity,inverse(X10))]. % 3.32/3.75 [2762=param(2748,12),[], % 3.32/3.75 inverse(greatest_lower_bound(identity,X10)) = least_upper_bound(identity,inverse(X10))]. % 3.32/3.75 [2763=demod(688),[2762,4,58,129], % 3.32/3.75 inverse(greatest_lower_bound(inverse(X10),X11)) = least_upper_bound(X10,inverse(X11))]. % 3.32/3.75 [3156=param(2763,67),[], % 3.32/3.75 inverse(greatest_lower_bound(X10,X11)) = least_upper_bound(inverse(X10),inverse(X11))]. % 3.32/3.75 [3206=param(67,3156),[], % 3.32/3.75 greatest_lower_bound(X10,X11) = inverse(least_upper_bound(inverse(X10),inverse(X11)))]. % 3.32/3.75 [3825=param(17,3206),[162,59,16], % 3.32/3.75 thmtrue = thmfalse]. % 3.32/3.75 % SZS output end CNFRefutation % 3.32/3.75 Space: 17447 KB 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