%------------------------------------------------------------------------------ % File : Fiesta---2 % Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : dedam % Command : fiesta-wrapper %s % Computer : n018.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 09:13:54 EDT 2022 % Result : Unsatisfiable 0.95s 1.35s % Output : CNFRefutation 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : GRP407-1 : TPTP v8.1.0. Released v2.6.0. % 0.04/0.14 % Command : fiesta-wrapper %s % 0.14/0.36 % Computer : n018.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 17:38:43 EDT 2022 % 0.14/0.36 % CPUTime : % 0.95/1.35 Theorem Proved. % 0.95/1.35 % SZS status Unsatisfiable % 0.95/1.35 % SZS output start CNFRefutation % 0.95/1.35 [1=axiom,[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X11),multiply(inverse(X11),X11))))) = X12]. % 0.95/1.35 [2=axiom,[], % 0.95/1.35 thtop(X10,X10) = thmfalse]. % 0.95/1.35 [3=axiom,[], % 0.95/1.35 thtop(multiply(multiply(inverse(b2),b2),a2),a2) = thmtrue]. % 0.95/1.35 [4=param(1,1),[], % 0.95/1.35 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X12)),X13)),X11)),multiply(inverse(X13),multiply(inverse(X13),X13)))) = multiply(X10,inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(inverse(X12),X12)))))]. % 0.95/1.35 [5=param(1,4),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),multiply(inverse(X11),multiply(inverse(X11),X11)))))) = X12]. % 0.95/1.35 [6=param(5,4),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(X12,inverse(multiply(inverse(X13),multiply(inverse(X14),multiply(inverse(X14),X14))))))) = multiply(inverse(multiply(inverse(multiply(X12,X14)),X11)),X13)]. % 0.95/1.35 [7=param(6,1),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X12))]. % 0.95/1.35 [12=param(7,6),[1], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(X13,X11)),multiply(X13,X12))]. % 0.95/1.35 [13=param(12,1),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),X12) = multiply(inverse(multiply(X13,X11)),multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(X10,X14)),X12)),multiply(inverse(X14),multiply(inverse(X14),X14))))))]. % 0.95/1.35 [14=param(1,12),[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X13))),multiply(inverse(X12),multiply(inverse(X12),X12))))) = multiply(X10,X13)]. % 0.95/1.35 [15=param(1,12),[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),X13)),multiply(inverse(multiply(X11,X12)),multiply(inverse(multiply(X14,X12)),multiply(X14,X12)))))) = X13]. % 0.95/1.35 [16=param(5,12),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(X12,X13)),multiply(X12,multiply(inverse(X11),X11)))))) = multiply(inverse(X11),X13)]. % 0.95/1.35 [23=param(1,16),[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(X11),X12)),multiply(inverse(X11),multiply(inverse(X11),X11))))) = multiply(X10,inverse(multiply(inverse(multiply(X13,X12)),multiply(X13,multiply(inverse(X11),X11)))))]. % 0.95/1.35 [26=param(1,14),[1], % 0.95/1.35 inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,X10))),multiply(inverse(X12),multiply(inverse(X12),X12)))) = X10]. % 0.95/1.35 [27=param(6,13),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(multiply(X13,X11)),X14)) = multiply(inverse(multiply(inverse(multiply(X10,X15)),X12)),multiply(inverse(multiply(X13,X15)),X14))]. % 0.95/1.35 [29=param(1,26),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),multiply(inverse(multiply(X10,X12)),multiply(X10,X12)))))) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [31=param(26,12),[], % 0.95/1.35 inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,X13))),multiply(inverse(multiply(X11,X12)),multiply(inverse(multiply(X14,X12)),multiply(X14,X12))))) = X13]. % 0.95/1.35 [32=param(26,16),[], % 0.95/1.35 inverse(multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X10),multiply(inverse(X10),X10)))) = inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,multiply(inverse(X10),X10))))]. % 0.95/1.35 [33=param(5,29),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12)))),multiply(inverse(X11),multiply(inverse(X11),X11))) = X12]. % 0.95/1.35 [35=param(29,12),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))))) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [36=param(15,7),[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(inverse(multiply(X11,X12)),X12))),X13)),multiply(inverse(multiply(X14,X12)),multiply(X14,multiply(X11,X12)))))) = X13]. % 0.95/1.35 [38=param(35,7),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),inverse(multiply(X11,multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(X10,X11)))))) = multiply(inverse(X12),multiply(inverse(X12),X12))]. % 0.95/1.35 [39=param(35,13),[35], % 0.95/1.35 multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(multiply(inverse(multiply(inverse(X12),multiply(inverse(X12),X12))),multiply(inverse(X12),multiply(inverse(X12),X12)))))) = multiply(inverse(X10),multiply(inverse(X10),X10))]. % 0.95/1.35 [50=param(1,31),[35], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X10,X11)),multiply(X10,X11))) = multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X12,X11)),multiply(X12,X11)))]. % 0.95/1.35 [54=param(16,50),[16], % 0.95/1.35 multiply(inverse(X10),multiply(inverse(multiply(X11,X12)),multiply(X11,X12))) = multiply(inverse(X10),multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))]. % 0.95/1.35 [56=param(54,26),[26], % 0.95/1.35 multiply(X10,multiply(inverse(multiply(X11,X12)),multiply(X11,X12))) = multiply(X10,multiply(inverse(multiply(X13,X12)),multiply(X13,X12)))]. % 0.95/1.35 [60=param(56,33),[33], % 0.95/1.35 multiply(X10,multiply(inverse(X11),X11)) = multiply(X10,multiply(inverse(multiply(X12,multiply(inverse(X13),multiply(inverse(X13),X13)))),multiply(X12,multiply(inverse(X13),multiply(inverse(X13),X13)))))]. % 0.95/1.35 [63=param(39,23),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(X12,multiply(inverse(X13),X13))),multiply(X12,multiply(inverse(X13),X13)))))) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [66=param(1,60),[1], % 0.95/1.35 multiply(inverse(multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))),multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))) = multiply(inverse(X12),X12)]. % 0.95/1.35 [70=param(26,66),[], % 0.95/1.35 inverse(multiply(inverse(multiply(inverse(multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11)))),multiply(X10,multiply(inverse(X11),multiply(inverse(X11),X11))))),multiply(inverse(X12),multiply(inverse(X12),X12)))) = X12]. % 0.95/1.35 [71=param(32,66),[70], % 0.95/1.35 inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,multiply(inverse(X10),X10)))) = X10]. % 0.95/1.35 [73=param(5,71),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,X11)) = multiply(inverse(X11),X11)]. % 0.95/1.35 [77=demod(66),[73,73,73], % 0.95/1.35 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)]. % 0.95/1.35 [81=demod(63),[73,73], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),X12)))) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [100=param(1,77),[], % 0.95/1.35 multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X11),X11)),X12)),multiply(inverse(X10),multiply(inverse(X10),X10))))) = X12]. % 0.95/1.35 [101=param(1,77),[], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X11),multiply(inverse(X13),X13))))) = X12]. % 0.95/1.35 [106=param(6,77),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X13),multiply(inverse(X14),multiply(inverse(X14),X14))))),X14)),X11)),X13)]. % 0.95/1.35 [109=param(7,77),[], % 0.95/1.35 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) = multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),X10))]. % 0.95/1.35 [115=param(16,77),[], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X11),X11)),X12)),multiply(inverse(X13),X13))))) = multiply(inverse(X11),X12)]. % 0.95/1.35 [152=param(73,71),[73,73], % 0.95/1.35 multiply(X10,multiply(inverse(multiply(X11,X10)),multiply(X11,multiply(inverse(X10),X10)))) = multiply(inverse(X10),X10)]. % 0.95/1.35 [153=param(73,77),[], % 0.95/1.35 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)) = multiply(inverse(X11),X11)]. % 0.95/1.35 [170=param(7,153),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) = multiply(inverse(multiply(inverse(multiply(X13,X14)),X11)),multiply(inverse(multiply(X13,X14)),multiply(inverse(X12),X12)))]. % 0.95/1.35 [175=param(27,153),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(X13),X13)) = multiply(inverse(multiply(inverse(multiply(X10,X14)),X12)),multiply(inverse(multiply(inverse(X11),X14)),multiply(inverse(X13),X13)))]. % 0.95/1.35 [176=param(36,153),[], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X10,X11)),X11)),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(multiply(X13,X11)),multiply(X13,multiply(X10,X11)))))) = multiply(inverse(X12),X12)]. % 0.95/1.35 [178=param(38,153),[152,73,73], % 0.95/1.35 multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(X11),X11))) = multiply(inverse(X10),X10)]. % 0.95/1.35 [206=param(36,178),[73,176], % 0.95/1.35 multiply(inverse(X10),X10) = inverse(multiply(inverse(X11),X11))]. % 0.95/1.35 [211=param(3,206),[], % 0.95/1.35 thtop(multiply(inverse(multiply(inverse(X10),X10)),a2),a2) = thmtrue]. % 0.95/1.35 [213=param(6,206),[81], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X11),multiply(inverse(X12),multiply(inverse(X12),X12))))),X12)),X10)),X11) = multiply(inverse(X10),multiply(inverse(X10),X10))]. % 0.95/1.35 [214=demod(106),[213], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,multiply(inverse(X12),X12))) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [215=demod(170),[214], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(inverse(X10),X10)),X11)),multiply(inverse(X12),X12)) = multiply(inverse(X11),multiply(inverse(X11),X11))]. % 0.95/1.35 [219=demod(115),[215], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(inverse(X12),multiply(inverse(X12),X12))))) = multiply(inverse(X11),X12)]. % 0.95/1.35 [236=demod(71),[214], % 0.95/1.35 inverse(multiply(inverse(X10),multiply(inverse(X10),X10))) = X10]. % 0.95/1.35 [247=demod(219),[236], % 0.95/1.35 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(X11),X12)]. % 0.95/1.35 [248=demod(109),[247], % 0.95/1.35 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) = multiply(inverse(X11),X10)]. % 0.95/1.35 [251=demod(175),[248,248], % 0.95/1.35 multiply(inverse(multiply(inverse(multiply(X11,X13)),X10)),multiply(inverse(X13),X12)) = multiply(inverse(X10),multiply(X11,X12))]. % 0.95/1.35 [252=demod(101),[251], % 0.95/1.35 multiply(X10,inverse(multiply(inverse(X11),multiply(X10,multiply(inverse(X12),X12))))) = X11]. % 0.95/1.35 [253=demod(100),[252], % 0.95/1.35 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11]. % 0.95/1.35 [302=param(211,253),[2], % 0.95/1.35 thmtrue = thmfalse]. % 0.95/1.35 % SZS output end CNFRefutation % 0.95/1.35 Space: 548 KB %------------------------------------------------------------------------------