%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP175-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n016.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 09:13:05 EDT 2022 % Result : Unsatisfiable 0.90s 1.26s % Output : CNFRefutation 0.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP175-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.03/0.13 % Command : fiesta-wrapper %s % 0.12/0.33 % Computer : n016.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 11:59:44 EDT 2022 % 0.12/0.33 % CPUTime : % 0.90/1.26 Theorem Proved. % 0.90/1.26 % SZS status Unsatisfiable % 0.90/1.26 % SZS output start CNFRefutation % 0.90/1.26 [1=axiom,[], % 0.90/1.26 least_upper_bound(identity,b) = b]. % 0.90/1.26 [3=axiom,[], % 0.90/1.26 multiply(least_upper_bound(X10,X11),X12) = least_upper_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.90/1.26 [5=axiom,[], % 0.90/1.26 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.90/1.26 [12=axiom,[], % 0.90/1.26 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.90/1.26 [13=demod(1),[12], % 0.90/1.26 least_upper_bound(b,identity) = b]. % 0.90/1.26 [15=axiom,[], % 0.90/1.26 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.90/1.26 [16=axiom,[], % 0.90/1.26 multiply(inverse(X10),X10) = identity]. % 0.90/1.26 [17=axiom,[], % 0.90/1.26 multiply(identity,X10) = X10]. % 0.90/1.26 [18=axiom,[], % 0.90/1.26 thtop(X10,X10) = thmfalse]. % 0.90/1.26 [19=axiom,[], % 0.90/1.26 thtop(least_upper_bound(identity,multiply(inverse(a),multiply(b,a))),multiply(inverse(a),multiply(b,a))) = thmtrue]. % 0.90/1.26 [20=param(3,13),[17,12], % 0.90/1.26 least_upper_bound(X10,multiply(b,X10)) = multiply(b,X10)]. % 0.90/1.26 [62=param(15,16),[17], % 0.90/1.26 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.90/1.26 [69=param(5,20),[], % 0.90/1.26 least_upper_bound(multiply(X10,X11),multiply(X10,multiply(b,X11))) = multiply(X10,multiply(b,X11))]. % 0.90/1.26 [71=param(62,15),[], % 0.90/1.26 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = X12]. % 0.90/1.26 [72=param(62,16),[], % 0.90/1.26 multiply(inverse(inverse(X10)),identity) = X10]. % 0.90/1.26 [74=param(62,62),[], % 0.90/1.26 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.90/1.26 [75=demod(72),[74], % 0.90/1.26 multiply(X10,identity) = X10]. % 0.90/1.26 [128=param(74,16),[], % 0.90/1.26 multiply(X10,inverse(X10)) = identity]. % 0.90/1.26 [129=param(74,62),[], % 0.90/1.26 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 0.90/1.26 [130=param(74,75),[75], % 0.90/1.26 inverse(inverse(X10)) = X10]. % 0.90/1.26 [542=param(69,16),[], % 0.90/1.26 least_upper_bound(identity,multiply(inverse(X10),multiply(b,X10))) = multiply(inverse(X10),multiply(b,X10))]. % 0.90/1.26 [562=param(71,128),[75], % 0.90/1.26 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 0.90/1.26 [574=param(562,129),[], % 0.90/1.26 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 0.90/1.26 [1210=param(19,574),[574,130,542,18], % 0.90/1.26 thmtrue = thmfalse]. % 0.90/1.26 % SZS output end CNFRefutation % 0.90/1.26 Space: 1372 KB %------------------------------------------------------------------------------