%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP175-2 : TPTP v8.1.0. Bugfixed v1.2.1. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n021.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 0.82s 1.19s % Output : CNFRefutation 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : GRP175-2 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.08/0.14 % Command : fiesta-wrapper %s % 0.14/0.36 % Computer : n021.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jun 13 14:11:27 EDT 2022 % 0.14/0.36 % CPUTime : % 0.82/1.19 Theorem Proved. % 0.82/1.19 % SZS status Unsatisfiable % 0.82/1.19 % SZS output start CNFRefutation % 0.82/1.19 [1=axiom,[], % 0.82/1.19 greatest_lower_bound(identity,b) = identity]. % 0.82/1.19 [2=axiom,[], % 0.82/1.19 multiply(greatest_lower_bound(X10,X11),X12) = greatest_lower_bound(multiply(X10,X12),multiply(X11,X12))]. % 0.82/1.19 [4=axiom,[], % 0.82/1.19 multiply(X10,greatest_lower_bound(X11,X12)) = greatest_lower_bound(multiply(X10,X11),multiply(X10,X12))]. % 0.82/1.19 [13=axiom,[], % 0.82/1.19 greatest_lower_bound(X10,X11) = greatest_lower_bound(X11,X10)]. % 0.82/1.19 [14=demod(1),[13], % 0.82/1.19 greatest_lower_bound(b,identity) = identity]. % 0.82/1.19 [16=axiom,[], % 0.82/1.19 multiply(inverse(X10),X10) = identity]. % 0.82/1.19 [17=axiom,[], % 0.82/1.19 multiply(identity,X10) = X10]. % 0.82/1.19 [18=axiom,[], % 0.82/1.19 thtop(X10,X10) = thmfalse]. % 0.82/1.19 [19=axiom,[], % 0.82/1.19 thtop(greatest_lower_bound(identity,multiply(inverse(a),multiply(b,a))),identity) = thmtrue]. % 0.82/1.19 [20=param(2,14),[17,17,13], % 0.82/1.19 greatest_lower_bound(X10,multiply(b,X10)) = X10]. % 0.82/1.19 [24=param(4,20),[], % 0.82/1.19 greatest_lower_bound(multiply(X10,X11),multiply(X10,multiply(b,X11))) = multiply(X10,X11)]. % 0.82/1.19 [94=param(24,16),[16], % 0.82/1.19 greatest_lower_bound(identity,multiply(inverse(X10),multiply(b,X10))) = identity]. % 0.82/1.19 [596=param(19,94),[18], % 0.82/1.19 thmtrue = thmfalse]. % 0.82/1.19 % SZS output end CNFRefutation % 0.82/1.19 Space: 478 KB %------------------------------------------------------------------------------