%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n008.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 09:13:55 EDT 2022 % Result : Unsatisfiable 0.79s 1.17s % Output : CNFRefutation 0.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP410-1 : TPTP v8.1.0. Released v2.6.0. % 0.04/0.13 % Command : fiesta-wrapper %s % 0.14/0.34 % Computer : n008.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jun 13 05:04:52 EDT 2022 % 0.14/0.34 % CPUTime : % 0.79/1.17 Theorem Proved. % 0.79/1.17 % SZS status Unsatisfiable % 0.79/1.17 % SZS output start CNFRefutation % 0.79/1.17 [1=axiom,[], % 0.79/1.17 multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(inverse(X12),X12))) = X11]. % 0.79/1.17 [2=axiom,[], % 0.79/1.17 thtop(X10,X10) = thmfalse]. % 0.79/1.17 [3=axiom,[], % 0.79/1.17 thtop(multiply(multiply(inverse(b2),b2),a2),a2) = thmtrue]. % 0.79/1.17 [6=param(1,1),[], % 0.79/1.17 multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(X13,multiply(inverse(X12),X12))))),X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(X12),X12)))) = X13]. % 0.79/1.17 [7=param(1,1),[], % 0.79/1.17 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(inverse(multiply(inverse(X12),X12))))),inverse(multiply(inverse(inverse(multiply(inverse(X12),X12))),inverse(multiply(inverse(X12),X12))))) = multiply(inverse(multiply(X13,inverse(multiply(X11,X12)))),multiply(X13,inverse(X12)))]. % 0.79/1.17 [9=param(7,1),[], % 0.79/1.17 multiply(inverse(multiply(X10,inverse(multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12)))),multiply(X10,inverse(X12))) = X11]. % 0.79/1.17 [11=param(1,9),[], % 0.79/1.17 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))) = inverse(multiply(X12,inverse(multiply(multiply(X11,inverse(multiply(inverse(X13),X13))),X13))))]. % 0.79/1.17 [12=param(11,1),[], % 0.79/1.17 inverse(multiply(X10,inverse(multiply(multiply(multiply(X11,multiply(X10,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12)))) = X11]. % 0.79/1.17 [18=param(1,11),[], % 0.79/1.17 multiply(multiply(multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))),inverse(multiply(inverse(X13),X13))) = multiply(X11,inverse(multiply(inverse(X13),X13)))]. % 0.79/1.17 [19=param(1,18),[1], % 0.79/1.17 multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))) = X10]. % 0.79/1.17 [22=param(19,12),[], % 0.79/1.17 multiply(multiply(multiply(X10,multiply(X11,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))) = multiply(multiply(multiply(X10,multiply(X11,inverse(X14))),inverse(multiply(inverse(X14),X14))),X14)]. % 0.79/1.17 [25=param(22,11),[9], % 0.79/1.17 multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12) = X10]. % 0.79/1.17 [27=param(25,1),[], % 0.79/1.17 multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(X13))),X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(X12),X12)))),multiply(inverse(X12),X12)) = X13]. % 0.79/1.17 [34=param(25,12),[], % 0.79/1.17 multiply(multiply(multiply(X10,multiply(X11,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12) = multiply(multiply(multiply(X10,multiply(X11,inverse(X13))),inverse(multiply(inverse(X13),X13))),X13)]. % 0.79/1.17 [36=param(25,25),[], % 0.79/1.17 multiply(multiply(multiply(inverse(X10),multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(inverse(X12)))),inverse(multiply(inverse(inverse(X12)),inverse(X12)))),inverse(X13))),inverse(multiply(inverse(X13),X13))),X13) = X12]. % 0.79/1.17 [41=param(34,25),[], % 0.79/1.17 multiply(multiply(multiply(X10,multiply(multiply(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(inverse(X12)))),inverse(multiply(inverse(inverse(X12)),inverse(X12)))),inverse(X14))),inverse(multiply(inverse(X14),X14))),X14) = multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12)]. % 0.79/1.17 [42=demod(36),[41], % 0.79/1.17 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),X11) = X11]. % 0.79/1.17 [46=param(1,42),[], % 0.79/1.17 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X11))),inverse(multiply(inverse(X11),X11))) = multiply(multiply(inverse(X12),X12),inverse(multiply(inverse(X11),X11)))]. % 0.79/1.17 [55=param(1,46),[1], % 0.79/1.17 multiply(inverse(X10),X10) = multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,inverse(X12)))]. % 0.79/1.17 [72=param(1,55),[], % 0.79/1.17 multiply(multiply(inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X11)))),multiply(inverse(inverse(multiply(X12,X13))),inverse(X13))),inverse(multiply(inverse(X13),X13))) = X12]. % 0.79/1.17 [75=param(1,55),[], % 0.79/1.17 multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(inverse(multiply(X13,inverse(X14))),multiply(X13,inverse(X14))))) = X11]. % 0.79/1.17 [79=param(6,55),[75], % 0.79/1.17 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X11),X11)))) = inverse(multiply(inverse(X11),X11))]. % 0.79/1.17 [112=param(42,55),[], % 0.79/1.17 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),multiply(X12,inverse(X13))) = multiply(X12,inverse(X13))]. % 0.79/1.17 [113=param(27,1),[79], % 0.79/1.17 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X10),X10)) = multiply(inverse(X10),X10)]. % 0.79/1.17 [119=demod(79),[113], % 0.79/1.17 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))) = inverse(multiply(inverse(X11),X11))]. % 0.79/1.17 [126=demod(112),[119], % 0.79/1.17 multiply(inverse(multiply(inverse(X10),X10)),multiply(X11,inverse(X12))) = multiply(X11,inverse(X12))]. % 0.79/1.17 [127=demod(72),[126], % 0.79/1.17 multiply(multiply(inverse(inverse(multiply(X10,X11))),inverse(X11)),inverse(multiply(inverse(X11),X11))) = X10]. % 0.79/1.17 [146=param(126,1),[1], % 0.79/1.17 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11]. % 0.79/1.17 [151=param(1,146),[119], % 0.79/1.17 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(X11),X11))]. % 0.79/1.17 [263=param(127,151),[], % 0.79/1.17 multiply(multiply(inverse(inverse(multiply(X10,X11))),inverse(X11)),inverse(multiply(inverse(X12),X12))) = X10]. % 0.79/1.17 [274=param(263,119),[119], % 0.79/1.17 inverse(multiply(inverse(X10),X10)) = multiply(inverse(X11),X11)]. % 0.79/1.17 [427=param(3,274),[146,2], % 0.79/1.17 thmtrue = thmfalse]. % 0.79/1.17 % SZS output end CNFRefutation % 0.79/1.17 Space: 676 KB %------------------------------------------------------------------------------