%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP168-2 : 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 09:13:02 EDT 2022 % Result : Unsatisfiable 2.41s 2.78s % Output : CNFRefutation 2.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.04/0.13 % Command : fiesta-wrapper %s % 0.13/0.34 % Computer : n024.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 18:46:18 EDT 2022 % 0.13/0.34 % CPUTime : % 2.41/2.78 Theorem Proved. % 2.41/2.78 % SZS status Unsatisfiable % 2.41/2.78 % SZS output start CNFRefutation % 2.41/2.78 [1=axiom,[], % 2.41/2.78 greatest_lower_bound(a,b) = a]. % 2.41/2.78 [2=axiom,[], % 2.41/2.78 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 2.41/2.78 [4=axiom,[], % 2.41/2.78 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 2.41/2.78 [13=axiom,[], % 2.41/2.78 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 2.41/2.78 [14=demod(1),[13], % 2.41/2.78 greatest_lower_bound(b,a) = a]. % 2.41/2.78 [15=axiom,[], % 2.41/2.78 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))]. % 2.41/2.78 [16=axiom,[], % 2.41/2.78 multiply(inverse(X10),X10) = identity]. % 2.41/2.78 [17=axiom,[], % 2.41/2.78 multiply(identity,X10) = X10]. % 2.41/2.78 [18=axiom,[], % 2.41/2.78 thtop(X10,X10) = thmfalse]. % 2.41/2.78 [19=axiom,[13], % 2.41/2.78 thtop(greatest_lower_bound(multiply(inverse(c),multiply(b,c)),multiply(inverse(c),multiply(a,c))),multiply(inverse(c),multiply(a,c))) = thmtrue]. % 2.41/2.78 [20=param(2,14),[], % 2.41/2.78 greatest_lower_bound(multiply(b,X10),multiply(a,X10)) = multiply(a,X10)]. % 2.41/2.78 [61=param(15,16),[17], % 2.41/2.78 multiply(inverse(X11),multiply(X11,X10)) = X10]. % 2.41/2.78 [70=param(61,15),[], % 2.41/2.78 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X11,X12))) = X12]. % 2.41/2.78 [71=param(61,16),[], % 2.41/2.78 multiply(inverse(inverse(X10)),identity) = X10]. % 2.41/2.78 [73=param(61,61),[], % 2.41/2.78 multiply(inverse(inverse(X10)),X11) = multiply(X10,X11)]. % 2.41/2.78 [74=demod(71),[73], % 2.41/2.78 multiply(X10,identity) = X10]. % 2.41/2.78 [77=param(73,16),[], % 2.41/2.78 multiply(X10,inverse(X10)) = identity]. % 2.41/2.78 [78=param(73,61),[], % 2.41/2.78 multiply(X10,multiply(inverse(X10),X11)) = X11]. % 2.41/2.78 [79=param(73,74),[74], % 2.41/2.78 inverse(inverse(X10)) = X10]. % 2.41/2.78 [85=param(77,15),[], % 2.41/2.78 multiply(X10,multiply(X11,inverse(multiply(X10,X11)))) = identity]. % 2.41/2.78 [437=param(70,77),[74], % 2.41/2.78 multiply(inverse(multiply(X10,X11)),X10) = inverse(X11)]. % 2.41/2.78 [443=param(437,61),[], % 2.41/2.78 multiply(inverse(X10),inverse(X11)) = inverse(multiply(X11,X10))]. % 2.41/2.78 [445=param(437,78),[], % 2.41/2.78 multiply(inverse(X10),X11) = inverse(multiply(inverse(X11),X10))]. % 2.41/2.78 [525=param(61,85),[74], % 2.41/2.78 multiply(X11,inverse(multiply(X10,X11))) = inverse(X10)]. % 2.41/2.78 [529=param(525,15),[], % 2.41/2.78 multiply(X10,inverse(multiply(X11,multiply(X12,X10)))) = inverse(multiply(X11,X12))]. % 2.41/2.78 [596=param(445,79),[], % 2.41/2.78 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))]. % 2.41/2.78 [686=param(15,443),[], % 2.41/2.78 multiply(inverse(multiply(X10,X11)),X12) = multiply(inverse(X11),multiply(inverse(X10),X12))]. % 2.41/2.78 [1124=param(61,529),[], % 2.41/2.78 multiply(inverse(X10),inverse(multiply(X11,X12))) = inverse(multiply(X11,multiply(X12,X10)))]. % 2.41/2.78 [4001=param(4,20),[], % 2.41/2.78 greatest_lower_bound(multiply(X10,multiply(b,X11)),multiply(X10,multiply(a,X11))) = multiply(X10,multiply(a,X11))]. % 2.41/2.78 [4562=param(19,596),[79,686,596,79,1124,79,4001,18], % 2.41/2.78 thmtrue = thmfalse]. % 2.41/2.78 % SZS output end CNFRefutation % 2.41/2.78 Space: 11192 KB %------------------------------------------------------------------------------