TSTP Solution File: GRP432-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n027.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 0.76s 1.15s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : fiesta-wrapper %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 20:55:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.76/1.15 Theorem Proved.
% 0.76/1.15 % SZS status Unsatisfiable
% 0.76/1.15 % SZS output start CNFRefutation
% 0.76/1.15 [1=axiom,[],
% 0.76/1.15 multiply(X10,inverse(multiply(X11,multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,X11))),X10)))) = X13].
% 0.76/1.15 [2=axiom,[],
% 0.76/1.15 thtop(X10,X10) = thmfalse].
% 0.76/1.15 [3=axiom,[],
% 0.76/1.15 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue].
% 0.76/1.15 [4=param(1,1),[],
% 0.76/1.15 multiply(X10,inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),multiply(X14,inverse(X14))),multiply(X12,X10)))) = X13].
% 0.76/1.15 [6=param(1,1),[],
% 0.76/1.15 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].
% 0.76/1.15 [7=param(1,4),[],
% 0.76/1.15 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)))].
% 0.76/1.15 [9=param(7,4),[],
% 0.76/1.15 multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X13))),X12))),multiply(X14,inverse(X14))) = X13].
% 0.76/1.15 [10=param(1,7),[],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,multiply(X12,inverse(multiply(multiply(X13,multiply(X14,inverse(X14))),multiply(X11,X12))))))) = X13].
% 0.76/1.15 [11=param(10,1),[],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,multiply(X13,multiply(X14,inverse(X14)))))),X12))) = X13].
% 0.76/1.15 [12=param(1,10),[],
% 0.76/1.15 multiply(inverse(multiply(X10,multiply(X11,inverse(multiply(multiply(X12,multiply(X13,inverse(X13))),multiply(X10,X11)))))),inverse(multiply(inverse(X14),X12))) = X14].
% 0.76/1.15 [14=param(10,4),[],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12))) = multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12)))].
% 0.76/1.15 [16=param(14,1),[1],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(X11)) = multiply(multiply(X12,inverse(X12)),inverse(X11))].
% 0.76/1.15 [19=param(1,14),[1],
% 0.76/1.15 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))].
% 0.76/1.15 [22=param(6,10),[12],
% 0.76/1.15 multiply(X10,multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(multiply(X12,inverse(X12)),X10))),X13)) = X13].
% 0.76/1.15 [24=param(1,19),[],
% 0.76/1.15 multiply(X10,inverse(multiply(inverse(X11),multiply(multiply(X12,inverse(X12)),X10)))) = X11].
% 0.76/1.15 [26=param(4,19),[],
% 0.76/1.15 multiply(inverse(X10),inverse(multiply(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X10,X12))),multiply(X13,inverse(X13))),multiply(X14,inverse(X14))))) = X12].
% 0.76/1.15 [32=param(1,24),[],
% 0.76/1.15 multiply(X10,inverse(multiply(multiply(multiply(X11,inverse(X11)),multiply(X12,inverse(X12))),multiply(X13,X10)))) = inverse(X13)].
% 0.76/1.15 [36=param(24,19),[],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),inverse(multiply(inverse(X11),multiply(X12,inverse(X12))))) = X11].
% 0.76/1.15 [45=param(22,1),[],
% 0.76/1.15 multiply(X10,X11) = inverse(multiply(X12,multiply(multiply(multiply(X13,inverse(X13)),inverse(multiply(X11,X12))),multiply(multiply(X14,inverse(X14)),inverse(multiply(multiply(X15,inverse(X15)),X10))))))].
% 0.76/1.15 [58=param(22,19),[],
% 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),X10))))].
% 0.76/1.15 [59=param(22,19),[],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.76/1.15 [72=param(11,7),[32],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))) = X11].
% 0.76/1.15 [90=param(22,72),[],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(multiply(X11,multiply(X12,inverse(X12)))))].
% 0.76/1.15 [124=param(90,59),[],
% 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12))))) = X11].
% 0.76/1.15 [130=param(16,90),[72],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),multiply(inverse(multiply(X11,inverse(X11))),X12)) = X12].
% 0.76/1.15 [145=param(130,22),[],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))),X11)].
% 0.76/1.15 [183=param(124,9),[],
% 0.76/1.15 inverse(multiply(multiply(multiply(X11,inverse(X11)),inverse(multiply(X12,X10))),X12)) = inverse(inverse(X10))].
% 0.76/1.15 [189=param(124,22),[],
% 0.76/1.15 inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,inverse(X11)),multiply(multiply(X12,inverse(X12)),X13))))))) = X13].
% 0.76/1.15 [195=param(36,124),[],
% 0.76/1.15 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))))].
% 0.76/1.15 [205=param(124,130),[],
% 0.76/1.15 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))].
% 0.76/1.15 [226=param(59,205),[],
% 0.76/1.15 multiply(inverse(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11)))))))),multiply(multiply(X12,inverse(X12)),X13)) = X13].
% 0.76/1.15 [228=param(124,205),[],
% 0.76/1.15 inverse(inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12),multiply(X13,inverse(X13))))) = X12].
% 0.76/1.15 [265=param(183,1),[],
% 0.76/1.15 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(X11)),X12)) = inverse(inverse(inverse(multiply(X13,multiply(multiply(multiply(X14,inverse(X14)),inverse(multiply(X11,X13))),X12)))))].
% 0.76/1.15 [269=param(183,14),[],
% 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,X12)))) = inverse(inverse(inverse(inverse(multiply(X11,X12)))))].
% 0.76/1.15 [273=demod(189),[269],
% 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),multiply(multiply(X11,inverse(X11)),X12)))))))) = X12].
% 0.76/1.15 [274=demod(145),[269],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),inverse(inverse(inverse(inverse(multiply(X13,inverse(X13))))))),X11)].
% 0.76/1.15 [277=demod(58),[269],
% 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(multiply(multiply(X12,inverse(X12)),X10)))))].
% 0.76/1.15 [281=param(183,16),[],
% 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),inverse(X11))) = inverse(inverse(inverse(inverse(X11))))].
% 0.76/1.15 [285=demod(226),[281],
% 0.76/1.15 multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10))))))))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.76/1.15 [286=param(183,19),[],
% 0.76/1.15 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(inverse(inverse(X11)))].
% 0.76/1.15 [290=demod(273),[286,286],
% 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10)))))))))) = X10].
% 0.76/1.15 [299=demod(277),[286],
% 0.76/1.15 multiply(X10,multiply(X11,inverse(X11))) = inverse(inverse(inverse(inverse(inverse(inverse(X10))))))].
% 0.76/1.15 [308=demod(26),[299,286,299,290],
% 0.76/1.15 multiply(inverse(X10),inverse(inverse(inverse(inverse(inverse(inverse(multiply(X10,X11)))))))) = X11].
% 0.76/1.15 [321=demod(228),[299],
% 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))))))))) = X12].
% 0.76/1.15 [334=demod(195),[299,299,286],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11)))))))))].
% 0.76/1.15 [342=demod(90),[299],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X11))))))))].
% 0.76/1.15 [348=demod(334),[342,290],
% 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(X10))))))))) = inverse(inverse(inverse(inverse(inverse(X10)))))].
% 0.76/1.15 [353=demod(290),[348],
% 0.76/1.15 inverse(inverse(inverse(inverse(inverse(inverse(X10)))))) = X10].
% 0.76/1.15 [356=demod(308),[353],
% 0.76/1.15 multiply(inverse(X10),multiply(X10,X11)) = X11].
% 0.76/1.15 [365=demod(285),[353],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),multiply(multiply(X11,inverse(X11)),X12)) = X12].
% 0.76/1.15 [370=demod(321),[353],
% 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(inverse(multiply(X11,inverse(X11))))))),X12))) = X12].
% 0.76/1.15 [372=demod(342),[353],
% 0.76/1.15 multiply(inverse(multiply(X10,inverse(X10))),X11) = inverse(inverse(X11))].
% 0.76/1.15 [373=demod(365),[372,286],
% 0.76/1.15 inverse(inverse(inverse(inverse(X10)))) = X10].
% 0.76/1.15 [376=demod(274),[373],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = multiply(multiply(multiply(X12,inverse(X12)),multiply(X13,inverse(X13))),X11)].
% 0.76/1.15 [382=demod(370),[373],
% 0.76/1.15 inverse(inverse(multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12))) = X12].
% 0.76/1.15 [388=demod(353),[373],
% 0.76/1.15 inverse(inverse(X10)) = X10].
% 0.76/1.15 [396=demod(382),[388],
% 0.76/1.15 multiply(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11))),X12) = X12].
% 0.76/1.15 [397=demod(376),[396],
% 0.76/1.15 multiply(multiply(X10,inverse(X10)),X11) = X11].
% 0.76/1.15 [417=demod(265),[397,397,388],
% 0.76/1.15 inverse(multiply(X12,multiply(inverse(multiply(X10,X12)),X11))) = inverse(multiply(inverse(X10),X11))].
% 0.76/1.15 [428=demod(45),[397,397,397,417],
% 0.76/1.15 multiply(X10,X11) = inverse(multiply(inverse(X11),inverse(X10)))].
% 0.76/1.15 [478=param(388,417),[388],
% 0.76/1.15 multiply(X12,multiply(inverse(multiply(X10,X12)),X11)) = multiply(inverse(X10),X11)].
% 0.76/1.15 [499=param(356,478),[],
% 0.76/1.15 multiply(inverse(multiply(X11,X10)),X12) = multiply(inverse(X10),multiply(inverse(X11),X12))].
% 0.76/1.15 [511=param(499,428),[388,388],
% 0.76/1.15 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.76/1.15 [525=param(3,511),[2],
% 0.76/1.15 thmtrue = thmfalse].
% 0.76/1.15 % SZS output end CNFRefutation
% 0.76/1.15 Space: 510 KB
%------------------------------------------------------------------------------