%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP168-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n010.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 09:13:02 EDT 2022 % Result : Unsatisfiable 2.47s 2.86s % Output : CNFRefutation 2.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GRP168-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.12/0.12 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jun 13 23:51:39 EDT 2022 % 0.12/0.33 % CPUTime : % 2.47/2.86 Theorem Proved. % 2.47/2.86 % SZS status Unsatisfiable % 2.47/2.86 % SZS output start CNFRefutation % 2.47/2.86 [1=axiom,[], % 2.47/2.86 least_upper_bound(a,b) = b]. % 2.47/2.86 [3=axiom,[], % 2.47/2.86 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 2.47/2.86 [5=axiom,[], % 2.47/2.86 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 2.47/2.86 [12=axiom,[], % 2.47/2.86 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 2.47/2.86 [13=demod(1),[12], % 2.47/2.86 least_upper_bound(b,a) = b]. % 2.47/2.86 [15=axiom,[], % 2.47/2.86 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 2.47/2.86 [16=axiom,[], % 2.47/2.86 multiply(inverse(X10),X10) = identity]. % 2.47/2.86 [17=axiom,[], % 2.47/2.86 multiply(identity,X10) = X10]. % 2.47/2.86 [18=axiom,[], % 2.47/2.86 thtop(X10,X10) = thmfalse]. % 2.47/2.86 [19=axiom,[12], % 2.47/2.86 thtop(least_upper_bound(multiply(inverse(c),multiply(b,c)),multiply(inverse(c),multiply(a,c))),multiply(inverse(c),multiply(b,c))) = thmtrue]. % 2.47/2.86 [20=param(3,13),[], % 2.47/2.86 least_upper_bound(multiply(b,X10),multiply(a,X10)) = multiply(b,X10)]. % 2.47/2.86 [62=param(15,16),[17], % 2.47/2.86 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 2.47/2.86 [63=param(62,15),[], % 2.47/2.86 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = X12]. % 2.47/2.86 [64=param(62,16),[], % 2.47/2.86 multiply(inverse(inverse(X10)),identity) = X10]. % 2.47/2.86 [66=param(62,62),[], % 2.47/2.86 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 2.47/2.86 [67=demod(64),[66], % 2.47/2.86 multiply(X10,identity) = X10]. % 2.47/2.86 [70=param(66,16),[], % 2.47/2.86 multiply(X10,inverse(X10)) = identity]. % 2.47/2.86 [71=param(66,62),[], % 2.47/2.86 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 2.47/2.86 [72=param(66,67),[67], % 2.47/2.86 inverse(inverse(X10)) = X10]. % 2.47/2.86 [80=param(70,15),[], % 2.47/2.86 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity]. % 2.47/2.86 [438=param(63,70),[67], % 2.47/2.86 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 2.47/2.86 [445=param(438,62),[], % 2.47/2.86 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 2.47/2.86 [446=param(438,71),[], % 2.47/2.86 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 2.47/2.86 [512=param(62,80),[67], % 2.47/2.86 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 2.47/2.86 [516=param(512,15),[], % 2.47/2.86 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 2.47/2.86 [630=param(446,72),[], % 2.47/2.86 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 2.47/2.86 [705=param(15,445),[], % 2.47/2.86 multiply(inverse(multiply(X10,X11)),X12) = multiply(inverse(X11),multiply(inverse(X10),X12))]. % 2.47/2.86 [1162=param(62,516),[], % 2.47/2.86 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))]. % 2.47/2.86 [4004=param(5,20),[], % 2.47/2.86 least_upper_bound(multiply(X10,multiply(b,X11)),multiply(X10,multiply(a,X11))) = multiply(X10,multiply(b,X11))]. % 2.47/2.86 [4616=param(19,630),[72,705,630,72,1162,72,4004,18], % 2.47/2.86 thmtrue = thmfalse]. % 2.47/2.86 % SZS output end CNFRefutation % 2.47/2.86 Space: 11132 KB %------------------------------------------------------------------------------