TSTP Solution File: GRP430-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP430-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n015.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 09:14:00 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
% 0.08/0.13 % Problem : GRP430-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : fiesta-wrapper %s
% 0.15/0.35 % Computer : n015.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 : Tue Jun 14 10:44:09 EDT 2022
% 0.15/0.35 % 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 multiply(X10,inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X10)))) = X13].
% 0.82/1.19 [3=axiom,[],
% 0.82/1.19 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue].
% 0.82/1.19 [4=param(1,1),[],
% 0.82/1.19 multiply(X10,inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),multiply(X14,inverse(X14))),multiply(X12,X10)))) = X13].
% 0.82/1.19 [6=param(1,1),[],
% 0.82/1.19 multiply(X10,inverse(multiply(inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X14))),multiply(multiply(multiply(X15,inverse(X15)),inverse(X13)),X10)))) = X14].
% 0.82/1.19 [7=param(1,4),[],
% 0.82/1.19 multiply(X10,inverse(multiply(multiply(X11,multiply(X12,inverse(X12))),multiply(X13,X10)))) = multiply(multiply(multiply(X14,inverse(X14)),inverse(multiply(X11,X13))),multiply(X15,inverse(X15)))].
% 0.82/1.19 [9=param(7,4),[],
% 0.82/1.19 multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),X12))),multiply(X14,inverse(X14))) = X13].
% 0.82/1.19 [10=param(1,7),[],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,inverse(multiply(multiply(X13,multiply(X14,inverse(X14))),multiply(X11,X12))))))) = X13].
% 0.82/1.19 [11=param(10,1),[],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,multiply(X14,inverse(X14)))))),X12))) = X13].
% 0.82/1.19 [12=param(1,10),[],
% 0.82/1.19 multiply(inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(X12,multiply(X13,inverse(X13))),multiply(X10,X11)))))),inverse(multiply(inverse(X14),X12))) = X14].
% 0.82/1.19 [14=param(10,4),[],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12))) = multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12)))].
% 0.82/1.19 [16=param(14,1),[1],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(X11)) = multiply(multiply(X12,inverse(X12)),inverse(X11))].
% 0.82/1.19 [19=param(1,14),[1],
% 0.82/1.19 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))].
% 0.82/1.19 [22=param(6,10),[12],
% 0.82/1.19 multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(multiply(X12,inverse(X12)),X10))),X13)) = X13].
% 0.82/1.19 [24=param(1,19),[],
% 0.82/1.19 multiply(X10,inverse(multiply(inverse(X11),multiply(multiply(X12,inverse(X12)),X10)))) = X11].
% 0.82/1.19 [26=param(4,19),[],
% 0.82/1.19 multiply(inverse(X10),inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X10,X12))),multiply(X13,inverse(X13))),multiply(X14,inverse(X14))))) = X12].
% 0.82/1.19 [32=param(1,24),[],
% 0.82/1.19 multiply(X10,inverse(multiply(multiply(multiply(X11,inverse(X11)),multiply(X12,inverse(X12))),multiply(X13,X10)))) = inverse(X13)].
% 0.82/1.19 [36=param(24,19),[],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(inverse(X11),multiply(X12,inverse(X12))))) = X11].
% 0.82/1.19 [58=param(22,19),[],
% 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),X10))))].
% 0.82/1.19 [59=param(22,19),[],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.82/1.19 [72=param(11,7),[32],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))) = X11].
% 0.82/1.19 [90=param(22,72),[],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))].
% 0.82/1.19 [124=param(90,59),[],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12))))) = X11].
% 0.82/1.19 [130=param(16,90),[72],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),X12)) = X12].
% 0.82/1.19 [145=param(130,22),[],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))),X11)].
% 0.82/1.19 [183=param(124,9),[],
% 0.82/1.19 inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),X12)) = inverse(inverse(X10))].
% 0.82/1.19 [189=param(124,22),[],
% 0.82/1.19 inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))))))) = X13].
% 0.82/1.19 [195=param(36,124),[],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(X11,multiply(X12,inverse(X12))))) = inverse(multiply(multiply(multiply(X13,inverse(X13)),X11),multiply(X14,inverse(X14))))].
% 0.82/1.19 [204=param(124,124),[],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(inverse(multiply(multiply(multiply(X12,inverse(X12)),X13),multiply(X14,inverse(X14)))),X13)))) = X11].
% 0.82/1.19 [205=param(124,130),[],
% 0.82/1.19 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))].
% 0.82/1.19 [226=param(59,205),[],
% 0.82/1.19 multiply(inverse(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))))),multiply(multiply(X12,inverse(X12)),X13)) = X13].
% 0.82/1.19 [228=param(124,205),[],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12),multiply(X13,inverse(X13))))) = X12].
% 0.82/1.19 [269=param(183,14),[],
% 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12)))) = inverse(inverse(inverse(inverse(multiply(X11,X12)))))].
% 0.82/1.19 [273=demod(189),[269],
% 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),multiply(multiply(X11,inverse(X11)),X12)))))))) = X12].
% 0.82/1.19 [274=demod(145),[269],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(inverse(inverse(inverse(multiply(X13,inverse(X13))))))),X11)].
% 0.82/1.19 [277=demod(58),[269],
% 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(multiply(multiply(X12,inverse(X12)),X10)))))].
% 0.82/1.19 [281=param(183,16),[],
% 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),inverse(X11))) = inverse(inverse(inverse(inverse(X11))))].
% 0.82/1.19 [285=demod(226),[281],
% 0.82/1.19 multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10))))))))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.82/1.19 [286=param(183,19),[],
% 0.82/1.19 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(inverse(inverse(X11)))].
% 0.82/1.19 [290=demod(273),[286,286],
% 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))))))) = X10].
% 0.82/1.19 [299=demod(277),[286],
% 0.82/1.19 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(inverse(inverse(X10))))))].
% 0.82/1.19 [308=demod(26),[299,286,299,290],
% 0.82/1.19 multiply(inverse(X10),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,X11)))))))) = X11].
% 0.82/1.19 [310=demod(204),[299,286],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X12))))))))),X12)))) = X11].
% 0.82/1.19 [321=demod(228),[299],
% 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))))))))) = X12].
% 0.82/1.19 [334=demod(195),[299,299,286],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))))].
% 0.82/1.19 [342=demod(90),[299],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11))))))))].
% 0.82/1.19 [348=demod(334),[342,290],
% 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10))))))))) = inverse(inverse(inverse(inverse(inverse(X10)))))].
% 0.82/1.19 [353=demod(290),[348],
% 0.82/1.19 inverse(inverse(inverse(inverse(inverse(inverse(X10)))))) = X10].
% 0.82/1.19 [356=demod(308),[353],
% 0.82/1.19 multiply(inverse(X10),multiply(X10,X11)) = X11].
% 0.82/1.19 [365=demod(285),[353],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.82/1.19 [370=demod(321),[353],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))) = X12].
% 0.82/1.19 [372=demod(342),[353],
% 0.82/1.19 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(X11))].
% 0.82/1.19 [373=demod(365),[372,286],
% 0.82/1.19 inverse(inverse(inverse(inverse(X10)))) = X10].
% 0.82/1.19 [376=demod(274),[373],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),multiply(X13,inverse(X13))),X11)].
% 0.82/1.19 [382=demod(370),[373],
% 0.82/1.19 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12))) = X12].
% 0.82/1.19 [388=demod(353),[373],
% 0.82/1.19 inverse(inverse(X10)) = X10].
% 0.82/1.19 [396=demod(382),[388],
% 0.82/1.19 multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12) = X12].
% 0.82/1.19 [397=demod(376),[396],
% 0.82/1.19 multiply(multiply(X10,inverse(X10)),X11) = X11].
% 0.82/1.19 [425=demod(310),[397,388,388,388,388,388],
% 0.82/1.19 multiply(X10,multiply(inverse(X11),X11)) = X10].
% 0.82/1.19 [436=param(356,425),[],
% 0.82/1.19 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)].
% 0.82/1.19 [454=param(3,436),[],
% 0.82/1.19 thtop(multiply(inverse(X10),X10),multiply(inverse(b1),b1)) = thmtrue].
% 0.82/1.19 % SZS output end CNFRefutation
% 0.82/1.19 Space: 440 KB
%------------------------------------------------------------------------------