%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP177-2 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n024.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 0.72s 1.09s % Output : CNFRefutation 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP177-2 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.07/0.12 % Command : fiesta-wrapper %s % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jun 13 14:27:18 EDT 2022 % 0.13/0.33 % CPUTime : % 0.72/1.09 Theorem Proved. % 0.72/1.09 % SZS status Unsatisfiable % 0.72/1.09 % SZS output start CNFRefutation % 0.72/1.09 [1=axiom,[], % 0.72/1.09 greatest_lower_bound(identity,c) = identity]. % 0.72/1.09 [2=axiom,[], % 0.72/1.09 greatest_lower_bound(identity,b) = identity]. % 0.72/1.09 [3=axiom,[], % 0.72/1.09 greatest_lower_bound(identity,a) = identity]. % 0.72/1.09 [4=axiom,[], % 0.72/1.09 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.72/1.09 [6=axiom,[], % 0.72/1.09 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.72/1.09 [8=axiom,[], % 0.72/1.09 greatest_lower_bound(X10,least_upper_bound(X10,X11)) = X10]. % 0.72/1.09 [9=axiom,[], % 0.72/1.09 least_upper_bound(X10,greatest_lower_bound(X10,X11)) = X10]. % 0.72/1.09 [13=axiom,[], % 0.72/1.09 greatest_lower_bound(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 0.72/1.09 [14=axiom,[], % 0.72/1.09 least_upper_bound(X10,X11) = least_upper_bound(X11,X10)]. % 0.72/1.09 [15=axiom,[], % 0.72/1.09 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 0.72/1.09 [16=demod(1),[15], % 0.72/1.09 greatest_lower_bound(c,identity) = identity]. % 0.72/1.09 [17=demod(2),[15], % 0.72/1.09 greatest_lower_bound(b,identity) = identity]. % 0.72/1.09 [18=demod(3),[15], % 0.72/1.09 greatest_lower_bound(a,identity) = identity]. % 0.72/1.09 [19=axiom,[], % 0.72/1.09 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 0.72/1.09 [20=axiom,[], % 0.72/1.09 multiply(inverse(X10),X10) = identity]. % 0.72/1.09 [21=axiom,[], % 0.72/1.09 multiply(identity,X10) = X10]. % 0.72/1.09 [22=axiom,[], % 0.72/1.09 thtop(X10,X10) = thmfalse]. % 0.72/1.09 [23=axiom,[15,15,4,6,6,13,13], % 0.72/1.09 thtop(greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(b,a),greatest_lower_bound(multiply(a,c),multiply(a,a)))))),greatest_lower_bound(a,multiply(b,c))) = thmtrue]. % 0.72/1.09 [24=param(4,17),[21,21,15], % 0.72/1.09 greatest_lower_bound(X10,multiply(b,X10)) = X10]. % 0.72/1.09 [25=param(4,18),[21,21,15], % 0.72/1.09 greatest_lower_bound(X10,multiply(a,X10)) = X10]. % 0.72/1.09 [27=param(6,16),[], % 0.72/1.09 greatest_lower_bound(multiply(X10,c),multiply(X10,identity)) = multiply(X10,identity)]. % 0.72/1.09 [33=param(25,6),[13], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(multiply(a,X10),multiply(a,X11)))) = greatest_lower_bound(X10,X11)]. % 0.72/1.09 [58=param(9,15),[], % 0.72/1.09 least_upper_bound(X10,greatest_lower_bound(X11,X10)) = X10]. % 0.72/1.09 [64=param(13,15),[], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(X12,greatest_lower_bound(X10,X11))]. % 0.72/1.09 [69=param(13,24),[], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(multiply(b,X10),X11)) = greatest_lower_bound(X10,X11)]. % 0.72/1.09 [70=param(13,25),[], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(multiply(a,X10),X11)) = greatest_lower_bound(X10,X11)]. % 0.72/1.09 [75=param(8,14),[], % 0.72/1.09 greatest_lower_bound(X10,least_upper_bound(X11,X10)) = X10]. % 0.72/1.09 [78=param(19,20),[21], % 0.72/1.09 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 0.72/1.09 [82=param(75,58),[15], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,X10)) = greatest_lower_bound(X11,X10)]. % 0.72/1.09 [94=param(82,13),[], % 0.72/1.09 greatest_lower_bound(X11,greatest_lower_bound(X12,greatest_lower_bound(X10,greatest_lower_bound(X11,X12)))) = greatest_lower_bound(X10,greatest_lower_bound(X11,X12))]. % 0.72/1.09 [95=param(82,13),[13], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X12,X10))) = greatest_lower_bound(X11,greatest_lower_bound(X12,X10))]. % 0.72/1.09 [96=demod(94),[95], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,greatest_lower_bound(X10,X12))) = greatest_lower_bound(X11,greatest_lower_bound(X10,X12))]. % 0.72/1.09 [105=param(78,20),[], % 0.72/1.09 multiply(inverse(inverse(X10)),identity) = X10]. % 0.72/1.09 [109=param(78,78),[], % 0.72/1.09 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 0.72/1.09 [110=demod(105),[109], % 0.72/1.09 multiply(X10,identity) = X10]. % 0.72/1.09 [118=demod(27),[110,15,110], % 0.72/1.09 greatest_lower_bound(X10,multiply(X10,c)) = X10]. % 0.72/1.09 [147=param(33,15),[70], % 0.72/1.09 greatest_lower_bound(X10,greatest_lower_bound(X11,multiply(a,X10))) = greatest_lower_bound(X10,X11)]. % 0.72/1.09 [419=param(23,64),[15,96,69], % 0.72/1.09 thtop(greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(a,c),multiply(a,a)))),greatest_lower_bound(a,multiply(b,c))) = thmtrue]. % 0.72/1.09 [431=param(419,64),[15,147,118,15,22], % 0.72/1.09 thmtrue = thmfalse]. % 0.72/1.09 % SZS output end CNFRefutation % 0.72/1.09 Space: 311 KB %------------------------------------------------------------------------------