%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP178-1 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n022.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 09:13:07 EDT 2022 % Result : Unsatisfiable 1.74s 2.12s % Output : CNFRefutation 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP178-1 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.03/0.12 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 13 07:27:48 EDT 2022 % 0.13/0.34 % CPUTime : % 1.74/2.12 Theorem Proved. % 1.74/2.12 % SZS status Unsatisfiable % 1.74/2.12 % SZS output start CNFRefutation % 1.74/2.12 [1=axiom,[], % 1.74/2.12 greatest_lower_bound(a,b) = identity]. % 1.74/2.12 [2=axiom,[], % 1.74/2.12 least_upper_bound(identity,c) = c]. % 1.74/2.12 [5=axiom,[], % 1.74/2.12 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 1.74/2.12 [7=axiom,[], % 1.74/2.12 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 1.74/2.12 [8=axiom,[], % 1.74/2.12 multiply(X10,least_upper_bound(X11,X12)) = least_upper_bound(multiply(X10,X11),multiply(X10,X12))]. % 1.74/2.12 [9=axiom,[], % 1.74/2.12 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 1.74/2.12 [14=axiom,[], % 1.74/2.12 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 1.74/2.12 [15=axiom,[], % 1.74/2.12 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 1.74/2.12 [16=demod(2),[15], % 1.74/2.12 least_upper_bound(c,identity) = c]. % 1.74/2.12 [19=axiom,[], % 1.74/2.12 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 1.74/2.12 [20=demod(1),[19], % 1.74/2.12 greatest_lower_bound(b,a) = identity]. % 1.74/2.12 [21=axiom,[], % 1.74/2.12 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 1.74/2.12 [22=axiom,[], % 1.74/2.12 multiply(inverse(X10),X10) = identity]. % 1.74/2.12 [23=axiom,[], % 1.74/2.12 multiply(identity,X10) = X10]. % 1.74/2.12 [24=axiom,[], % 1.74/2.12 thtop(X10,X10) = thmfalse]. % 1.74/2.12 [25=axiom,[19], % 1.74/2.12 thtop(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(c,a)) = thmtrue]. % 1.74/2.12 [26=param(5,20),[23], % 1.74/2.12 greatest_lower_bound(multiply(b,X10),multiply(a,X10)) = X10]. % 1.74/2.12 [30=param(7,20),[], % 1.74/2.12 multiply(X10,identity) = greatest_lower_bound(multiply(X10,b),multiply(X10,a))]. % 1.74/2.12 [32=param(8,16),[30], % 1.74/2.12 least_upper_bound(multiply(X10,c),greatest_lower_bound(multiply(X10,b),multiply(X10,a))) = multiply(X10,c)]. % 1.74/2.12 [55=param(14,19),[14], % 1.74/2.12 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))]. % 1.74/2.12 [64=param(21,22),[23], % 1.74/2.12 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 1.74/2.12 [100=param(64,22),[30], % 1.74/2.12 greatest_lower_bound(multiply(inverse(inverse(X10)),b),multiply(inverse(inverse(X10)),a)) = X10]. % 1.74/2.12 [102=param(64,64),[], % 1.74/2.12 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 1.74/2.12 [103=demod(100),[102,102], % 1.74/2.12 greatest_lower_bound(multiply(X10,b),multiply(X10,a)) = X10]. % 1.74/2.12 [104=demod(32),[103,15], % 1.74/2.12 least_upper_bound(X10,multiply(X10,c)) = multiply(X10,c)]. % 1.74/2.12 [115=param(9,104),[], % 1.74/2.12 greatest_lower_bound(X10,multiply(X10,c)) = X10]. % 1.74/2.12 [433=param(55,26),[], % 1.74/2.12 greatest_lower_bound(multiply(b,X11),greatest_lower_bound(X10,multiply(a,X11))) = greatest_lower_bound(X10,X11)]. % 1.74/2.12 [7542=param(433,115),[19,19], % 1.74/2.12 greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(c,a)]. % 1.74/2.12 [7553=param(25,7542),[24], % 1.74/2.12 thmtrue = thmfalse]. % 1.74/2.12 % SZS output end CNFRefutation % 1.74/2.12 Space: 9119 KB %------------------------------------------------------------------------------