TSTP Solution File: GRP416-1 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n012.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 09:13:57 EDT 2022
% Result : Unsatisfiable 0.89s 1.33s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : fiesta-wrapper %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:18:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.33 Theorem Proved.
% 0.89/1.33 % SZS status Unsatisfiable
% 0.89/1.33 % SZS output start CNFRefutation
% 0.89/1.33 [1=axiom,[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X12)))),inverse(multiply(inverse(X10),X10)))))) = X12].
% 0.89/1.33 [2=axiom,[],
% 0.89/1.33 thtop(X10,X10) = thmfalse].
% 0.89/1.33 [3=axiom,[],
% 0.89/1.33 thtop(multiply(multiply(inverse(b2),b2),a2),a2) = thmtrue].
% 0.89/1.33 [4=param(1,1),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,X12))),inverse(multiply(inverse(X10),X10)))))) = multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X14,inverse(X12)))),inverse(multiply(inverse(X13),X13)))))].
% 0.89/1.33 [5=param(4,1),[],
% 0.89/1.33 multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(inverse(X12))))),inverse(multiply(inverse(X10),X10))))) = X12].
% 0.89/1.33 [6=param(4,4),[5],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,X12))),inverse(multiply(inverse(X10),X10))))))) = X12].
% 0.89/1.33 [8=param(1,5),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),X12)),inverse(multiply(inverse(X10),X10)))))) = multiply(inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,inverse(inverse(X12))))),inverse(multiply(inverse(X11),X11)))].
% 0.89/1.33 [9=param(6,5),[],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),X12)),inverse(multiply(inverse(X10),X10))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X13,X11)),multiply(X13,inverse(inverse(X12))))),inverse(multiply(inverse(X11),X11))))].
% 0.89/1.33 [10=param(8,1),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(X12))))))),inverse(multiply(inverse(X11),X11))) = X12].
% 0.89/1.33 [11=param(8,4),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,X12)))))),inverse(multiply(inverse(X11),X11))) = multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(X14,X13)),multiply(X14,inverse(X12)))),inverse(multiply(inverse(X13),X13)))))].
% 0.89/1.33 [12=param(6,8),[],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,X12)))))),inverse(multiply(inverse(X11),X11)))) = X12].
% 0.89/1.33 [13=param(8,8),[10],
% 0.89/1.33 inverse(multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),inverse(multiply(inverse(X11),X11))))))))) = inverse(X12)].
% 0.89/1.33 [16=param(1,10),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(inverse(multiply(X12,inverse(X13))))))),X10)),X13)),inverse(multiply(inverse(X10),X10)))))) = multiply(inverse(X12),X12)].
% 0.89/1.33 [17=param(1,13),[1],
% 0.89/1.33 multiply(X11,inverse(inverse(multiply(X12,inverse(multiply(inverse(multiply(inverse(multiply(X11,X12)),X10)),inverse(multiply(inverse(X12),X12)))))))) = X10].
% 0.89/1.33 [19=param(1,17),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),X12)),inverse(multiply(inverse(X10),X10)))))) = inverse(multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(X11,X13)),X12)),inverse(multiply(inverse(X13),X13))))))].
% 0.89/1.33 [21=param(17,17),[],
% 0.89/1.33 inverse(inverse(multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),X13)),X12)),inverse(multiply(inverse(X13),X13))))))) = multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(X12),inverse(multiply(inverse(X11),X11))))))))].
% 0.89/1.33 [22=param(17,21),[],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(X12),inverse(multiply(inverse(X11),X11))))))))) = X12].
% 0.89/1.33 [23=param(22,1),[],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(X12))) = multiply(inverse(multiply(X13,X11)),multiply(X13,inverse(X12)))].
% 0.89/1.33 [25=param(22,4),[1],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,X12)) = multiply(inverse(multiply(X13,X11)),multiply(X13,X12))].
% 0.89/1.33 [38=param(22,25),[],
% 0.89/1.33 multiply(inverse(multiply(X10,multiply(X11,X12))),multiply(X10,inverse(inverse(multiply(multiply(X11,X12),inverse(multiply(inverse(X13),inverse(multiply(inverse(multiply(X14,X12)),multiply(X14,X12)))))))))) = X13].
% 0.89/1.33 [39=param(25,25),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(multiply(X10,X11)),X12)),multiply(inverse(multiply(X13,X11)),multiply(X13,X14))) = multiply(inverse(multiply(X15,X12)),multiply(X15,multiply(X10,X14)))].
% 0.89/1.33 [51=param(16,8),[1],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(inverse(multiply(inverse(X10),X10))),inverse(multiply(inverse(X10),X10)))))))) = multiply(inverse(X10),X10)].
% 0.89/1.33 [57=param(17,51),[],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(inverse(multiply(inverse(X10),X10))),inverse(multiply(inverse(X10),X10)))))) = multiply(inverse(X10),inverse(inverse(multiply(X10,inverse(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X10),X10))))))))].
% 0.89/1.33 [58=demod(51),[57],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X10),inverse(inverse(multiply(X10,inverse(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X10),X10)))))))))) = multiply(inverse(X10),X10)].
% 0.89/1.33 [59=param(58,23),[],
% 0.89/1.33 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(X11),X11)))))))))) = multiply(inverse(X11),X11)].
% 0.89/1.33 [60=param(22,57),[59],
% 0.89/1.33 multiply(inverse(multiply(X10,inverse(multiply(inverse(X11),X11)))),multiply(X10,inverse(multiply(inverse(X11),X11)))) = multiply(inverse(X12),X12)].
% 0.89/1.33 [63=param(60,10),[10],
% 0.89/1.33 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)].
% 0.89/1.33 [86=param(22,60),[],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(multiply(X12,inverse(multiply(inverse(X13),X13)))),multiply(X12,inverse(multiply(inverse(X13),X13)))))))))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [91=param(38,60),[86],
% 0.89/1.33 inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X11))) = inverse(multiply(inverse(multiply(X12,X11)),multiply(X12,X11)))].
% 0.89/1.33 [93=param(1,63),[],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(inverse(X10)),inverse(X10))))))) = X10].
% 0.89/1.33 [96=param(1,63),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(X11,X10)),multiply(X11,inverse(X12)))),inverse(multiply(inverse(X13),X13)))))) = X12].
% 0.89/1.33 [100=param(6,63),[],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X10),X10))))))) = X10].
% 0.89/1.33 [123=param(22,63),[],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(X12),X12))))))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [124=param(22,63),[],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,inverse(multiply(inverse(X12),inverse(multiply(inverse(X13),X13))))))))) = X12].
% 0.89/1.33 [126=param(25,63),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(X10),X11)),multiply(inverse(X12),X12)) = multiply(inverse(multiply(X13,X11)),multiply(X13,X10))].
% 0.89/1.33 [141=param(100,63),[],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12))))))) = X10].
% 0.89/1.33 [168=param(126,63),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)) = multiply(inverse(X12),X12)].
% 0.89/1.33 [170=param(141,126),[],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X12),X12))),inverse(multiply(inverse(X13),X13))))))) = X10].
% 0.89/1.33 [185=param(141,168),[],
% 0.89/1.33 inverse(inverse(multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)))) = inverse(inverse(multiply(inverse(multiply(inverse(X12),X12)),inverse(multiply(inverse(X13),X13)))))].
% 0.89/1.33 [188=param(91,39),[],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))) = inverse(multiply(inverse(multiply(X14,multiply(X10,X12))),multiply(X14,multiply(X10,X12))))].
% 0.89/1.33 [192=param(91,126),[],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11))) = inverse(multiply(inverse(multiply(X12,X10)),multiply(X12,X10)))].
% 0.89/1.33 [203=param(9,123),[10],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(inverse(multiply(inverse(X10),X10))),inverse(multiply(inverse(X10),X10))))))) = inverse(inverse(multiply(X10,inverse(multiply(inverse(X11),X11)))))].
% 0.89/1.33 [211=param(123,63),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),inverse(inverse(multiply(X11,inverse(multiply(inverse(X12),X12))))))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [219=param(123,168),[],
% 0.89/1.33 multiply(inverse(multiply(inverse(inverse(inverse(multiply(X10,inverse(multiply(inverse(X11),X11)))))),X10)),multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(X13),X13))) = inverse(multiply(inverse(X10),X10))].
% 0.89/1.33 [223=param(93,63),[],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12)))))) = X10].
% 0.89/1.33 [231=param(223,39),[],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(multiply(inverse(multiply(X12,X13)),multiply(X12,X14))),multiply(inverse(multiply(X15,X13)),multiply(X15,X14)))))))) = X10].
% 0.89/1.33 [235=param(123,223),[141],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,X11)) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [236=demod(192),[235],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11))) = inverse(inverse(multiply(inverse(X10),X10)))].
% 0.89/1.33 [238=demod(185),[236],
% 0.89/1.33 inverse(inverse(inverse(multiply(inverse(X10),X10)))) = inverse(inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12)))))].
% 0.89/1.33 [240=demod(170),[236],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),inverse(multiply(inverse(X12),X12))))))) = X10].
% 0.89/1.33 [241=demod(203),[240],
% 0.89/1.33 inverse(inverse(multiply(X10,inverse(multiply(inverse(X11),X11))))) = X10].
% 0.89/1.33 [243=demod(211),[241],
% 0.89/1.33 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X11),X11)) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [246=demod(168),[243],
% 0.89/1.33 inverse(multiply(inverse(X10),X10)) = multiply(inverse(X11),X11)].
% 0.89/1.33 [250=demod(238),[241],
% 0.89/1.33 inverse(inverse(inverse(multiply(inverse(X10),X10)))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [253=demod(219),[241,243],
% 0.89/1.33 multiply(inverse(multiply(inverse(X10),X10)),inverse(multiply(inverse(X11),X11))) = inverse(multiply(inverse(X10),X10))].
% 0.89/1.33 [261=demod(223),[253],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(inverse(multiply(inverse(X11),X11))))) = X10].
% 0.89/1.33 [277=demod(188),[235,235],
% 0.89/1.33 inverse(multiply(inverse(multiply(inverse(multiply(X10,X11)),multiply(X10,X12))),multiply(inverse(multiply(X13,X11)),multiply(X13,X12)))) = inverse(inverse(inverse(multiply(inverse(X12),X12))))].
% 0.89/1.33 [278=demod(231),[277],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(inverse(inverse(multiply(inverse(X12),X12)))))))) = X10].
% 0.89/1.33 [329=param(19,246),[],
% 0.89/1.33 inverse(multiply(X10,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),X12)),inverse(multiply(inverse(X10),X10)))))) = inverse(multiply(X13,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X10),X13)),X12)),inverse(multiply(inverse(X13),X13))))))].
% 0.89/1.33 [359=param(241,11),[96],
% 0.89/1.33 inverse(multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(inverse(multiply(X12,X10)))))) = inverse(X10)].
% 0.89/1.33 [366=demod(12),[359],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(multiply(inverse(X11),X11)))) = X10].
% 0.89/1.33 [416=demod(329),[366,366],
% 0.89/1.33 inverse(multiply(X10,multiply(inverse(inverse(multiply(inverse(X11),X11))),X12))) = inverse(multiply(X13,multiply(inverse(multiply(inverse(X10),X13)),X12)))].
% 0.89/1.33 [423=demod(21),[366,366],
% 0.89/1.33 inverse(inverse(multiply(X10,multiply(inverse(multiply(inverse(multiply(X11,X12)),X10)),X13)))) = multiply(X11,inverse(inverse(multiply(X12,X13))))].
% 0.89/1.33 [424=demod(124),[366],
% 0.89/1.33 multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(inverse(multiply(X11,X12))))) = X12].
% 0.89/1.33 [443=param(366,39),[235,235],
% 0.89/1.33 inverse(multiply(inverse(X10),inverse(inverse(inverse(multiply(inverse(X11),X11)))))) = X10].
% 0.89/1.33 [444=demod(278),[443],
% 0.89/1.33 inverse(multiply(inverse(X10),multiply(inverse(X11),X11))) = X10].
% 0.89/1.33 [564=param(235,246),[],
% 0.89/1.33 multiply(multiply(inverse(X10),X10),multiply(inverse(X11),X11)) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.33 [813=param(424,246),[],
% 0.89/1.33 multiply(inverse(inverse(multiply(inverse(X10),X10))),multiply(inverse(X11),inverse(inverse(multiply(X11,X12))))) = X12].
% 0.89/1.33 [816=param(424,250),[],
% 0.89/1.33 multiply(inverse(inverse(inverse(multiply(inverse(X10),X10)))),multiply(inverse(X11),inverse(inverse(multiply(X11,X12))))) = X12].
% 0.89/1.33 [818=param(424,261),[],
% 0.89/1.33 multiply(X10,multiply(inverse(X10),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),X12))))) = X12].
% 0.89/1.33 [828=param(424,443),[],
% 0.89/1.33 multiply(X10,multiply(inverse(X10),inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X11),X11)))),X12))))) = X12].
% 0.89/1.33 [830=param(444,424),[],
% 0.89/1.33 multiply(inverse(inverse(inverse(multiply(X11,X10)))),X11) = inverse(X10)].
% 0.89/1.33 [837=param(424,564),[],
% 0.89/1.33 multiply(inverse(inverse(multiply(inverse(X10),X10))),multiply(multiply(inverse(X11),X11),inverse(inverse(multiply(multiply(inverse(X10),X10),X12))))) = X12].
% 0.89/1.33 [863=param(261,830),[],
% 0.89/1.33 inverse(inverse(multiply(inverse(inverse(multiply(inverse(X11),X11))),X10))) = inverse(inverse(X10))].
% 0.89/1.33 [864=demod(818),[863],
% 0.89/1.33 multiply(X10,multiply(inverse(X10),inverse(inverse(X11)))) = X11].
% 0.89/1.33 [865=demod(828),[864],
% 0.89/1.33 multiply(inverse(inverse(inverse(multiply(inverse(X10),X10)))),X11) = X11].
% 0.89/1.33 [866=demod(816),[865],
% 0.89/1.33 multiply(inverse(X10),inverse(inverse(multiply(X10,X11)))) = X11].
% 0.89/1.33 [869=demod(813),[866],
% 0.89/1.33 multiply(inverse(inverse(multiply(inverse(X10),X10))),X11) = X11].
% 0.89/1.33 [870=demod(416),[869],
% 0.89/1.33 inverse(multiply(X12,multiply(inverse(multiply(inverse(X10),X12)),X11))) = inverse(multiply(X10,X11))].
% 0.89/1.33 [871=demod(423),[870],
% 0.89/1.33 inverse(inverse(multiply(multiply(X10,X11),X12))) = multiply(X10,inverse(inverse(multiply(X11,X12))))].
% 0.89/1.33 [888=demod(837),[871,866,869],
% 0.89/1.33 multiply(multiply(inverse(X10),X10),X11) = X11].
% 0.89/1.33 [921=param(3,888),[2],
% 0.89/1.33 thmtrue = thmfalse].
% 0.89/1.33 % SZS output end CNFRefutation
% 0.89/1.33 Space: 1409 KB
%------------------------------------------------------------------------------