%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n029.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 09:13:53 EDT 2022 % Result : Unsatisfiable 1.02s 1.40s % Output : CNFRefutation 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : GRP403-1 : TPTP v8.1.0. Released v2.6.0. % 0.08/0.14 % Command : fiesta-wrapper %s % 0.14/0.36 % Computer : n029.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 : Tue Jun 14 11:14:25 EDT 2022 % 0.14/0.36 % CPUTime : % 1.02/1.40 Theorem Proved. % 1.02/1.40 % SZS status Unsatisfiable % 1.02/1.40 % SZS output start CNFRefutation % 1.02/1.40 [1=axiom,[], % 1.02/1.40 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),inverse(multiply(X11,multiply(inverse(X11),X11)))))) = X12]. % 1.02/1.40 [3=axiom,[], % 1.02/1.40 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue]. % 1.02/1.40 [4=param(1,1),[], % 1.02/1.40 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X12)),X13)),X11)),inverse(multiply(X13,multiply(inverse(X13),X13))))) = multiply(X10,inverse(multiply(inverse(X11),inverse(multiply(X12,multiply(inverse(X12),X12))))))]. % 1.02/1.40 [5=param(1,4),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),inverse(multiply(X11,multiply(inverse(X11),X11))))))) = X12]. % 1.02/1.40 [6=param(5,4),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X12,inverse(multiply(inverse(X13),inverse(multiply(X14,multiply(inverse(X14),X14)))))))) = multiply(inverse(multiply(inverse(multiply(X12,X14)),X11)),X13)]. % 1.02/1.40 [7=param(6,1),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X12))]. % 1.02/1.40 [10=param(7,6),[1], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(X13,X11)),multiply(X13,X12))]. % 1.02/1.40 [12=param(1,10),[], % 1.02/1.40 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X13))),inverse(multiply(X12,multiply(inverse(X12),X12)))))) = multiply(X10,X13)]. % 1.02/1.40 [19=param(1,12),[1], % 1.02/1.40 inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X10))),inverse(multiply(X12,multiply(inverse(X12),X12))))) = X10]. % 1.02/1.40 [21=param(1,19),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,inverse(multiply(multiply(X10,X12),multiply(inverse(multiply(X10,X12)),multiply(X10,X12))))))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 1.02/1.40 [25=param(5,21),[], % 1.02/1.40 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12)))),inverse(multiply(X11,multiply(inverse(X11),X11)))) = X12]. % 1.02/1.40 [27=param(21,10),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,inverse(multiply(multiply(X10,X12),multiply(inverse(multiply(X13,X12)),multiply(X13,X12))))))) = inverse(multiply(X11,multiply(inverse(X11),X11)))]. % 1.02/1.40 [41=param(5,19),[], % 1.02/1.40 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X12,inverse(multiply(X11,multiply(inverse(X11),X11))))))) = multiply(inverse(multiply(inverse(multiply(X13,X14)),multiply(X13,X12))),inverse(multiply(X14,multiply(inverse(X14),X14))))]. % 1.02/1.40 [63=param(19,41),[], % 1.02/1.40 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X12,inverse(multiply(X11,multiply(inverse(X11),X11)))))))) = X12]. % 1.02/1.40 [70=param(63,19),[], % 1.02/1.40 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))) = inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))]. % 1.02/1.40 [85=param(70,41),[19], % 1.02/1.40 inverse(multiply(inverse(multiply(X14,multiply(X11,inverse(multiply(X10,inverse(multiply(X12,multiply(inverse(X12),X12)))))))),multiply(X14,X13))) = inverse(multiply(X10,multiply(inverse(multiply(X11,X12)),X13)))]. % 1.02/1.40 [99=param(5,85),[5], % 1.02/1.40 multiply(inverse(multiply(X14,multiply(X11,inverse(multiply(X10,inverse(multiply(X12,multiply(inverse(X12),X12)))))))),multiply(X14,X13)) = multiply(X10,multiply(inverse(multiply(X11,X12)),X13))]. % 1.02/1.40 [101=param(99,27),[], % 1.02/1.40 multiply(inverse(multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11))))),multiply(X10,X12)) = multiply(X13,multiply(inverse(multiply(inverse(multiply(X14,X11)),multiply(X14,X13))),X12))]. % 1.02/1.40 [149=param(101,25),[], % 1.02/1.40 multiply(inverse(X10),X10) = multiply(inverse(multiply(X11,inverse(multiply(X12,multiply(inverse(X12),X12))))),multiply(X11,inverse(multiply(X12,multiply(inverse(X12),X12)))))]. % 1.02/1.40 [152=param(3,149),[], % 1.02/1.40 thtop(multiply(inverse(a1),a1),multiply(inverse(multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11))))),multiply(X10,inverse(multiply(X11,multiply(inverse(X11),X11)))))) = thmtrue]. % 1.02/1.40 [176=param(152,25),[25], % 1.02/1.40 thtop(multiply(inverse(a1),a1),multiply(inverse(X10),X10)) = thmtrue]. % 1.02/1.40 % SZS output end CNFRefutation % 1.02/1.40 Space: 756 KB %------------------------------------------------------------------------------