TSTP Solution File: GRP433-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP433-1 : 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 09:14:01 EDT 2022
% Result : Unsatisfiable 0.72s 1.18s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP433-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % 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 15:44:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.18 Theorem Proved.
% 0.72/1.18 % SZS status Unsatisfiable
% 0.72/1.18 % SZS output start CNFRefutation
% 0.72/1.18 [1=axiom,[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),multiply(X13,inverse(X13)))) = X12].
% 0.72/1.18 [3=axiom,[],
% 0.72/1.18 thtop(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) = thmtrue].
% 0.72/1.18 [4=param(1,1),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13)))) = multiply(X14,inverse(X14))].
% 0.72/1.18 [7=param(1,4),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),inverse(multiply(multiply(multiply(X13,multiply(inverse(multiply(multiply(X14,X15),X13)),X14)),X15),multiply(X16,inverse(X16)))))) = X12].
% 0.72/1.18 [9=param(1,4),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13))))),X14),X15),multiply(X16,inverse(X16)))) = inverse(multiply(X14,X15))].
% 0.72/1.18 [10=param(1,4),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(X10,multiply(inverse(multiply(multiply(X11,X12),X10)),X11)),X12),multiply(X13,inverse(X13)))),X14)),X15),inverse(X15)),multiply(X16,inverse(X16)))) = X14].
% 0.72/1.18 [12=param(9,4),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),multiply(X13,inverse(X13)))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [14=param(1,12),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(X10,X11)),multiply(inverse(multiply(X12,inverse(X12))),X10)),X11),multiply(X13,inverse(X13)))) = multiply(X14,inverse(X14))].
% 0.72/1.18 [16=param(12,4),[],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)) = multiply(X13,inverse(X13))].
% 0.72/1.18 [18=param(7,12),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = X12].
% 0.72/1.18 [21=param(10,4),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,inverse(X10)),X11)),X12),inverse(X12)),multiply(X13,inverse(X13)))) = X11].
% 0.72/1.18 [27=param(21,4),[9],
% 0.72/1.18 inverse(multiply(X10,inverse(X10))) = inverse(multiply(X11,inverse(X11)))].
% 0.72/1.18 [33=param(1,27),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),multiply(multiply(X13,inverse(X13)),inverse(multiply(X14,inverse(X14)))))) = X12].
% 0.72/1.18 [40=param(1,16),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,X12),inverse(multiply(X13,inverse(X13)))))),X11),multiply(X14,inverse(X14)))) = X12].
% 0.72/1.18 [47=param(12,16),[],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)),X13),multiply(X14,inverse(X14)))) = inverse(multiply(inverse(inverse(multiply(X15,inverse(X15)))),X13))].
% 0.72/1.18 [62=param(14,4),[],
% 0.72/1.18 multiply(X10,inverse(X10)) = multiply(X11,inverse(X11))].
% 0.72/1.18 [64=param(14,12),[],
% 0.72/1.18 multiply(X10,inverse(X10)) = inverse(multiply(multiply(inverse(multiply(X11,inverse(X11))),X12),inverse(X12)))].
% 0.72/1.18 [65=param(14,21),[],
% 0.72/1.18 multiply(X10,inverse(X10)) = inverse(multiply(inverse(multiply(X11,inverse(X11))),multiply(X12,inverse(X12))))].
% 0.72/1.18 [69=param(12,62),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12)))) = inverse(multiply(inverse(inverse(multiply(X13,inverse(X13)))),X11))].
% 0.72/1.18 [72=param(21,62),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(inverse(inverse(multiply(multiply(X11,inverse(X11)),X12))))),multiply(X13,inverse(X13)))) = X12].
% 0.72/1.18 [84=param(12,65),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),inverse(multiply(inverse(multiply(X13,inverse(X13))),multiply(X14,inverse(X14)))))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [92=param(33,65),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X10,inverse(X10))),multiply(X11,inverse(X11)))),X12)),X13),inverse(X13)),multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,inverse(X15)))))) = X12].
% 0.72/1.18 [107=param(12,64),[],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12),multiply(X13,inverse(X13)))) = inverse(multiply(inverse(inverse(multiply(X14,inverse(X14)))),X12))].
% 0.72/1.18 [116=param(33,64),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12)),X13),inverse(X13)),multiply(multiply(X14,inverse(X14)),inverse(multiply(X15,inverse(X15)))))) = X12].
% 0.72/1.18 [120=param(1,64),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,inverse(X11)))),X12),multiply(X13,inverse(X13)))) = inverse(X12)].
% 0.72/1.18 [150=param(120,16),[],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))),X10),X11)),X13),multiply(X14,inverse(X14)))) = inverse(X13)].
% 0.72/1.18 [151=demod(47),[150],
% 0.72/1.18 inverse(multiply(inverse(inverse(multiply(X11,inverse(X11)))),X10)) = inverse(X10)].
% 0.72/1.18 [154=demod(69),[151],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),multiply(X12,inverse(X12)))) = inverse(X11)].
% 0.72/1.18 [155=demod(72),[154],
% 0.72/1.18 inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),X11))))) = X11].
% 0.72/1.18 [158=demod(107),[151],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12),multiply(X13,inverse(X13)))) = inverse(X12)].
% 0.72/1.18 [160=param(120,16),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(X11,inverse(X11)))),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(X12)].
% 0.72/1.18 [195=param(151,27),[],
% 0.72/1.18 inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))) = inverse(multiply(X11,inverse(X11)))].
% 0.72/1.18 [236=param(18,195),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X10,inverse(X10)))))),X11),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [295=param(154,62),[],
% 0.72/1.18 inverse(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11)))) = inverse(inverse(multiply(X12,inverse(X12))))].
% 0.72/1.18 [297=param(154,64),[],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),inverse(multiply(multiply(inverse(multiply(X12,inverse(X12))),X13),inverse(X13))))) = inverse(X11)].
% 0.72/1.18 [377=param(151,295),[],
% 0.72/1.18 inverse(multiply(inverse(multiply(multiply(X10,inverse(X10)),multiply(X11,inverse(X11)))),X12)) = inverse(X12)].
% 0.72/1.18 [436=param(151,377),[155],
% 0.72/1.18 inverse(multiply(multiply(X10,inverse(X10)),X11)) = inverse(X11)].
% 0.72/1.18 [448=demod(155),[436],
% 0.72/1.18 inverse(inverse(inverse(inverse(X10)))) = X10].
% 0.72/1.18 [457=demod(236),[448],
% 0.72/1.18 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),X11),X12),inverse(multiply(multiply(inverse(multiply(multiply(X13,X14),inverse(multiply(X15,inverse(X15))))),X13),X14)))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [458=demod(160),[457],
% 0.72/1.18 inverse(multiply(inverse(multiply(X10,inverse(X10))),X11)) = inverse(X11)].
% 0.72/1.18 [470=demod(84),[458],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12),inverse(multiply(X13,inverse(X13))))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [485=demod(92),[458,458],
% 0.72/1.18 inverse(multiply(multiply(multiply(inverse(X10),X11),inverse(X11)),multiply(multiply(X12,inverse(X12)),inverse(multiply(X13,inverse(X13)))))) = X10].
% 0.72/1.18 [486=demod(116),[485],
% 0.72/1.18 multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),inverse(X11))),X12) = X12].
% 0.72/1.18 [488=demod(158),[486],
% 0.72/1.18 inverse(multiply(X10,multiply(X11,inverse(X11)))) = inverse(X10)].
% 0.72/1.18 [489=demod(1),[488],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11)) = X12].
% 0.72/1.18 [494=demod(457),[489],
% 0.72/1.18 inverse(multiply(multiply(multiply(multiply(X10,inverse(X10)),X11),X12),inverse(multiply(X13,inverse(X13))))) = inverse(multiply(X11,X12))].
% 0.72/1.18 [503=demod(40),[488],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),inverse(multiply(multiply(X11,X12),inverse(multiply(X13,inverse(X13)))))),X11)) = X12].
% 0.72/1.18 [508=demod(12),[488],
% 0.72/1.18 inverse(multiply(multiply(inverse(multiply(X10,inverse(X10))),X11),X12)) = inverse(multiply(X11,X12))].
% 0.72/1.18 [509=demod(486),[508],
% 0.72/1.18 multiply(inverse(multiply(X10,inverse(X10))),X11) = X11].
% 0.72/1.18 [517=demod(470),[509],
% 0.72/1.18 inverse(multiply(multiply(X10,X11),inverse(multiply(X12,inverse(X12))))) = inverse(multiply(X10,X11))].
% 0.72/1.18 [518=demod(494),[517],
% 0.72/1.18 inverse(multiply(multiply(multiply(X10,inverse(X10)),X11),X12)) = inverse(multiply(X11,X12))].
% 0.72/1.18 [532=demod(503),[517,518],
% 0.72/1.18 inverse(multiply(inverse(multiply(X10,X11)),X10)) = X11].
% 0.72/1.18 [547=demod(297),[509,518],
% 0.72/1.18 inverse(multiply(X10,inverse(multiply(X11,inverse(X11))))) = inverse(X10)].
% 0.72/1.18 [615=param(448,151),[448],
% 0.72/1.18 multiply(inverse(inverse(multiply(X11,inverse(X11)))),X10) = X10].
% 0.72/1.18 [617=param(448,532),[],
% 0.72/1.18 multiply(inverse(multiply(X11,X10)),X11) = inverse(inverse(inverse(X10)))].
% 0.72/1.18 [641=param(617,617),[448],
% 0.72/1.18 multiply(X10,inverse(multiply(X11,X10))) = inverse(inverse(inverse(X11)))].
% 0.72/1.18 [644=param(641,509),[547],
% 0.72/1.18 inverse(inverse(inverse(X10))) = inverse(X10)].
% 0.72/1.18 [660=demod(448),[644],
% 0.72/1.18 inverse(inverse(X10)) = X10].
% 0.72/1.18 [673=demod(615),[660],
% 0.72/1.18 multiply(multiply(X10,inverse(X10)),X11) = X11].
% 0.72/1.18 [696=param(673,660),[],
% 0.72/1.18 multiply(multiply(inverse(X10),X10),X11) = X11].
% 0.72/1.18 [698=param(660,488),[660],
% 0.72/1.18 multiply(X10,multiply(X11,inverse(X11))) = X10].
% 0.72/1.18 [710=param(698,660),[],
% 0.72/1.18 multiply(X10,multiply(inverse(X11),X11)) = X10].
% 0.72/1.18 [712=param(710,696),[],
% 0.72/1.18 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)].
% 0.72/1.18 [727=param(3,712),[],
% 0.72/1.18 thtop(multiply(inverse(X10),X10),multiply(inverse(b1),b1)) = thmtrue].
% 0.72/1.18 % SZS output end CNFRefutation
% 0.72/1.18 Space: 682 KB
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