%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n026.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 09:14:21 EDT 2022 % Result : Unsatisfiable 0.73s 1.12s % Output : CNFRefutation 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0. % 0.04/0.14 % Command : fiesta-wrapper %s % 0.15/0.35 % Computer : n026.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Mon Jun 13 16:25:06 EDT 2022 % 0.15/0.35 % CPUTime : % 0.73/1.12 Theorem Proved. % 0.73/1.12 % SZS status Unsatisfiable % 0.73/1.12 % SZS output start CNFRefutation % 0.73/1.12 [1=axiom,[], % 0.73/1.12 multiply(X10,multiply(multiply(X11,X12),inverse(multiply(X10,X12)))) = X11]. % 0.73/1.12 [3=axiom,[], % 0.73/1.12 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue]. % 0.73/1.12 [4=param(1,1),[], % 0.73/1.12 multiply(X10,multiply(X11,inverse(multiply(X10,multiply(multiply(X11,X12),inverse(multiply(X13,X12))))))) = X13]. % 0.73/1.12 [5=param(1,1),[], % 0.73/1.12 multiply(X10,multiply(multiply(X11,multiply(multiply(X12,X13),inverse(multiply(X10,X13)))),inverse(X12))) = X11]. % 0.73/1.12 [6=param(5,1),[], % 0.73/1.12 multiply(X10,multiply(X11,inverse(X11))) = X10]. % 0.73/1.12 [7=param(1,6),[6], % 0.73/1.12 multiply(X10,multiply(X11,inverse(X10))) = X11]. % 0.73/1.12 [8=param(1,7),[], % 0.73/1.12 multiply(X10,multiply(X11,inverse(multiply(X10,multiply(X11,inverse(X12)))))) = X12]. % 0.73/1.12 [9=param(1,7),[], % 0.73/1.12 multiply(X10,multiply(multiply(X11,multiply(X12,inverse(X10))),inverse(X12))) = X11]. % 0.73/1.12 [10=param(4,7),[], % 0.73/1.12 multiply(multiply(X10,X11),multiply(X12,inverse(multiply(X12,X11)))) = X10]. % 0.73/1.12 [11=param(5,7),[], % 0.73/1.12 multiply(X10,multiply(multiply(X11,X12),inverse(X11))) = multiply(X10,X12)]. % 0.73/1.12 [13=param(8,10),[], % 0.73/1.12 multiply(multiply(X10,X11),multiply(X12,inverse(X10))) = multiply(X12,X11)]. % 0.73/1.12 [14=param(13,11),[], % 0.73/1.12 multiply(multiply(X10,X11),X12) = multiply(multiply(X10,X12),X11)]. % 0.73/1.12 [15=demod(9),[14], % 0.73/1.12 multiply(X10,multiply(multiply(X11,inverse(X12)),multiply(X12,inverse(X10)))) = X11]. % 0.73/1.12 [26=param(11,14),[], % 0.73/1.12 multiply(X10,multiply(multiply(X11,inverse(X11)),X12)) = multiply(X10,X12)]. % 0.73/1.12 [32=param(26,7),[], % 0.73/1.12 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))]. % 0.73/1.12 [40=param(15,10),[], % 0.73/1.12 multiply(multiply(X10,inverse(X10)),X11) = X11]. % 0.73/1.12 [49=param(14,40),[40], % 0.73/1.12 multiply(X10,X11) = multiply(X11,X10)]. % 0.73/1.12 [56=param(3,49),[], % 0.73/1.12 thtop(multiply(inverse(a1),a1),multiply(b1,inverse(b1))) = thmtrue]. % 0.73/1.12 [92=param(56,49),[], % 0.73/1.12 thtop(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) = thmtrue]. % 0.73/1.12 [105=param(92,32),[], % 0.73/1.12 thtop(multiply(X10,inverse(X10)),multiply(b1,inverse(b1))) = thmtrue]. % 0.73/1.12 % SZS output end CNFRefutation % 0.73/1.12 Space: 76 KB %------------------------------------------------------------------------------