TSTP Solution File: GRP411-1 by Fiesta---2
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%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n006.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 09:13:55 EDT 2022
% Result : Unsatisfiable 0.89s 1.24s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 23:59:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.89/1.24 Theorem Proved.
% 0.89/1.24 % SZS status Unsatisfiable
% 0.89/1.24 % SZS output start CNFRefutation
% 0.89/1.24 [1=axiom,[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(inverse(X12),X12))) = X11].
% 0.89/1.24 [2=axiom,[],
% 0.89/1.24 thtop(X10,X10) = thmfalse].
% 0.89/1.24 [3=axiom,[],
% 0.89/1.24 thtop(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) = thmtrue].
% 0.89/1.24 [6=param(1,1),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(X13,multiply(inverse(X12),X12))))),X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(X12),X12)))) = X13].
% 0.89/1.24 [7=param(1,1),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(inverse(multiply(inverse(X12),X12))))),inverse(multiply(inverse(inverse(multiply(inverse(X12),X12))),inverse(multiply(inverse(X12),X12))))) = multiply(inverse(multiply(X13,inverse(multiply(X11,X12)))),multiply(X13,inverse(X12)))].
% 0.89/1.24 [9=param(7,1),[],
% 0.89/1.24 multiply(inverse(multiply(X10,inverse(multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12)))),multiply(X10,inverse(X12))) = X11].
% 0.89/1.24 [11=param(1,9),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))) = inverse(multiply(X12,inverse(multiply(multiply(X11,inverse(multiply(inverse(X13),X13))),X13))))].
% 0.89/1.24 [12=param(11,1),[],
% 0.89/1.24 inverse(multiply(X10,inverse(multiply(multiply(multiply(X11,multiply(X10,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12)))) = X11].
% 0.89/1.24 [18=param(1,11),[],
% 0.89/1.24 multiply(multiply(multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))),inverse(multiply(inverse(X13),X13))) = multiply(X11,inverse(multiply(inverse(X13),X13)))].
% 0.89/1.24 [19=param(1,18),[1],
% 0.89/1.24 multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))) = X10].
% 0.89/1.24 [22=param(19,12),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(X11,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(multiply(X12,inverse(X13))),multiply(X12,inverse(X13))))),multiply(X12,inverse(X13))) = multiply(multiply(multiply(X10,multiply(X11,inverse(X14))),inverse(multiply(inverse(X14),X14))),X14)].
% 0.89/1.24 [25=param(22,11),[9],
% 0.89/1.24 multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12) = X10].
% 0.89/1.24 [27=param(25,1),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(X13))),X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),multiply(inverse(X12),X12)))),multiply(inverse(X12),X12)) = X13].
% 0.89/1.24 [34=param(25,12),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(X11,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12) = multiply(multiply(multiply(X10,multiply(X11,inverse(X13))),inverse(multiply(inverse(X13),X13))),X13)].
% 0.89/1.24 [36=param(25,25),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(X10),multiply(multiply(multiply(inverse(multiply(X11,inverse(X10))),multiply(X11,inverse(inverse(X12)))),inverse(multiply(inverse(inverse(X12)),inverse(X12)))),inverse(X13))),inverse(multiply(inverse(X13),X13))),X13) = X12].
% 0.89/1.24 [41=param(34,25),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(multiply(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(inverse(X12)))),inverse(multiply(inverse(inverse(X12)),inverse(X12)))),inverse(X14))),inverse(multiply(inverse(X14),X14))),X14) = multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12)].
% 0.89/1.24 [42=demod(36),[41],
% 0.89/1.24 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),X11) = X11].
% 0.89/1.24 [46=param(1,42),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X11))),inverse(multiply(inverse(X11),X11))) = multiply(multiply(inverse(X12),X12),inverse(multiply(inverse(X11),X11)))].
% 0.89/1.24 [55=param(1,46),[1],
% 0.89/1.24 multiply(inverse(X10),X10) = multiply(inverse(multiply(X11,inverse(X12))),multiply(X11,inverse(X12)))].
% 0.89/1.24 [72=param(1,55),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X11)))),multiply(inverse(inverse(multiply(X12,X13))),inverse(X13))),inverse(multiply(inverse(X13),X13))) = X12].
% 0.89/1.24 [75=param(1,55),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(inverse(multiply(X13,inverse(X14))),multiply(X13,inverse(X14))))) = X11].
% 0.89/1.24 [78=param(6,55),[75],
% 0.89/1.24 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),multiply(inverse(X11),X11)))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.24 [87=param(25,55),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(X11)))),multiply(inverse(inverse(X12)),inverse(X13))),inverse(multiply(inverse(X13),X13))),X13) = X12].
% 0.89/1.24 [105=param(11,55),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(X14),X14))) = inverse(multiply(X12,inverse(multiply(multiply(X11,inverse(multiply(inverse(X13),X13))),X13))))].
% 0.89/1.24 [111=param(42,55),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))),multiply(X12,inverse(X13))) = multiply(X12,inverse(X13))].
% 0.89/1.24 [113=param(6,111),[1,78],
% 0.89/1.24 inverse(multiply(inverse(inverse(X10)),inverse(X10))) = multiply(multiply(inverse(X11),X11),inverse(multiply(inverse(X12),X12)))].
% 0.89/1.24 [119=param(27,1),[78],
% 0.89/1.24 multiply(inverse(multiply(inverse(X10),X10)),multiply(inverse(X10),X10)) = multiply(inverse(X10),X10)].
% 0.89/1.24 [125=demod(78),[119],
% 0.89/1.24 multiply(multiply(inverse(X10),X10),inverse(multiply(inverse(X11),X11))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.24 [127=demod(113),[125],
% 0.89/1.24 inverse(multiply(inverse(inverse(X10)),inverse(X10))) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.24 [133=demod(111),[125],
% 0.89/1.24 multiply(inverse(multiply(inverse(X10),X10)),multiply(X11,inverse(X12))) = multiply(X11,inverse(X12))].
% 0.89/1.24 [134=demod(72),[133],
% 0.89/1.24 multiply(multiply(inverse(inverse(multiply(X10,X11))),inverse(X11)),inverse(multiply(inverse(X11),X11))) = X10].
% 0.89/1.24 [135=demod(87),[133],
% 0.89/1.24 multiply(multiply(multiply(inverse(inverse(X10)),inverse(X11)),inverse(multiply(inverse(X11),X11))),X11) = X10].
% 0.89/1.24 [137=demod(42),[125],
% 0.89/1.24 multiply(inverse(multiply(inverse(X10),X10)),X10) = X10].
% 0.89/1.24 [186=param(1,127),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(multiply(inverse(inverse(X11)),inverse(X11))))),multiply(X10,inverse(X12))),inverse(multiply(inverse(X12),X12))) = inverse(X12)].
% 0.89/1.24 [198=param(25,127),[186],
% 0.89/1.24 multiply(inverse(X10),X10) = multiply(inverse(X11),X11)].
% 0.89/1.24 [220=param(1,198),[],
% 0.89/1.24 multiply(multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))),inverse(multiply(inverse(X13),X13))) = X11].
% 0.89/1.24 [232=param(34,198),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12))),X12) = multiply(multiply(multiply(X10,multiply(inverse(inverse(X12)),inverse(X13))),inverse(multiply(inverse(X13),X13))),X13)].
% 0.89/1.24 [234=param(127,198),[],
% 0.89/1.24 inverse(multiply(inverse(X10),X10)) = inverse(multiply(inverse(X11),X11))].
% 0.89/1.24 [235=param(137,198),[],
% 0.89/1.24 multiply(inverse(multiply(inverse(X10),X10)),X11) = X11].
% 0.89/1.24 [236=param(235,9),[],
% 0.89/1.24 multiply(inverse(inverse(multiply(multiply(X10,inverse(multiply(inverse(X11),X11))),X11))),inverse(X11)) = X10].
% 0.89/1.24 [260=param(34,236),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(inverse(inverse(multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12))),inverse(X13))),inverse(multiply(inverse(X13),X13))),X13) = multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12)].
% 0.89/1.24 [270=param(135,198),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(inverse(X10)),inverse(X11)),inverse(multiply(inverse(X12),X12))),X11) = X10].
% 0.89/1.24 [275=param(34,270),[],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(multiply(multiply(inverse(inverse(X11)),inverse(inverse(X12))),inverse(multiply(inverse(X13),X13))),inverse(X14))),inverse(multiply(inverse(X14),X14))),X14) = multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12)].
% 0.89/1.24 [278=param(270,234),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(inverse(X10)),inverse(multiply(inverse(X11),X11))),inverse(multiply(inverse(X12),X12))),multiply(inverse(X13),X13)) = X10].
% 0.89/1.24 [312=param(134,198),[],
% 0.89/1.24 multiply(multiply(inverse(inverse(multiply(X10,X11))),inverse(X11)),inverse(multiply(inverse(X12),X12))) = X10].
% 0.89/1.24 [318=param(312,34),[],
% 0.89/1.24 multiply(multiply(inverse(inverse(multiply(multiply(multiply(X10,multiply(X11,inverse(X12))),inverse(multiply(inverse(X12),X12))),X12))),inverse(X13)),inverse(multiply(inverse(X14),X14))) = multiply(multiply(X10,multiply(X11,inverse(X13))),inverse(multiply(inverse(X13),X13)))].
% 0.89/1.24 [324=param(312,125),[125],
% 0.89/1.24 inverse(multiply(inverse(X10),X10)) = multiply(inverse(X11),X11)].
% 0.89/1.24 [329=param(312,234),[],
% 0.89/1.24 multiply(multiply(inverse(inverse(multiply(X10,multiply(inverse(X11),X11)))),inverse(multiply(inverse(X12),X12))),inverse(multiply(inverse(X13),X13))) = X10].
% 0.89/1.24 [378=param(270,324),[],
% 0.89/1.24 multiply(multiply(multiply(inverse(inverse(X10)),multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12))),multiply(inverse(X13),X13)) = X10].
% 0.89/1.24 [380=param(312,324),[235],
% 0.89/1.24 multiply(inverse(X10),inverse(multiply(inverse(X11),X11))) = inverse(X10)].
% 0.89/1.24 [381=demod(329),[380,380],
% 0.89/1.24 inverse(inverse(multiply(X10,multiply(inverse(X11),X11)))) = X10].
% 0.89/1.24 [414=demod(278),[380,380],
% 0.89/1.24 multiply(inverse(inverse(X10)),multiply(inverse(X11),X11)) = X10].
% 0.89/1.24 [415=demod(378),[414],
% 0.89/1.24 multiply(multiply(X10,inverse(multiply(inverse(X11),X11))),multiply(inverse(X12),X12)) = X10].
% 0.89/1.24 [441=param(312,324),[381],
% 0.89/1.24 multiply(multiply(X10,multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12))) = X10].
% 0.89/1.24 [442=demod(232),[441],
% 0.89/1.24 multiply(multiply(multiply(X10,multiply(inverse(inverse(X11)),inverse(X12))),inverse(multiply(inverse(X12),X12))),X12) = multiply(X10,X11)].
% 0.89/1.24 [444=demod(260),[442],
% 0.89/1.24 multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12) = multiply(X10,multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12))].
% 0.89/1.24 [447=demod(318),[444,444,380],
% 0.89/1.24 multiply(multiply(inverse(inverse(multiply(X10,multiply(X11,multiply(inverse(X12),X12))))),inverse(X13)),inverse(multiply(inverse(X14),X14))) = multiply(multiply(X10,multiply(X11,inverse(X13))),inverse(multiply(inverse(X13),X13)))].
% 0.89/1.24 [477=demod(275),[444,444,380,415,444],
% 0.89/1.24 multiply(X10,multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12)) = multiply(X10,multiply(inverse(inverse(X11)),inverse(inverse(X12))))].
% 0.89/1.24 [478=demod(444),[477],
% 0.89/1.24 multiply(multiply(multiply(X10,X11),inverse(multiply(inverse(X12),X12))),X12) = multiply(X10,multiply(inverse(inverse(X11)),inverse(inverse(X12))))].
% 0.89/1.24 [561=param(105,324),[],
% 0.89/1.24 inverse(multiply(X10,inverse(multiply(multiply(X11,multiply(inverse(X12),X12)),X13)))) = multiply(multiply(inverse(multiply(X14,inverse(X11))),multiply(X14,inverse(multiply(X10,inverse(X13))))),inverse(multiply(inverse(X15),X15)))].
% 0.89/1.24 [569=param(414,105),[],
% 0.89/1.24 multiply(inverse(multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(X14),X14)))),multiply(inverse(X15),X15)) = multiply(X12,inverse(multiply(multiply(X11,inverse(multiply(inverse(X13),X13))),X13)))].
% 0.89/1.24 [571=param(414,324),[380],
% 0.89/1.24 inverse(inverse(X10)) = X10].
% 0.89/1.24 [579=demod(414),[571],
% 0.89/1.24 multiply(X10,multiply(inverse(X11),X11)) = X10].
% 0.89/1.24 [580=demod(569),[579],
% 0.89/1.24 inverse(multiply(multiply(inverse(multiply(X10,inverse(X11))),multiply(X10,inverse(multiply(X12,inverse(X13))))),inverse(multiply(inverse(X14),X14)))) = multiply(X12,inverse(multiply(multiply(X11,inverse(multiply(inverse(X13),X13))),X13)))].
% 0.89/1.24 [581=demod(561),[579],
% 0.89/1.24 multiply(multiply(inverse(multiply(X13,inverse(X11))),multiply(X13,inverse(multiply(X10,inverse(X12))))),inverse(multiply(inverse(X14),X14))) = inverse(multiply(X10,inverse(multiply(X11,X12))))].
% 0.89/1.24 [582=demod(580),[581,571],
% 0.89/1.24 multiply(X10,inverse(multiply(multiply(X11,inverse(multiply(inverse(X12),X12))),X12))) = multiply(X10,inverse(multiply(X11,X12)))].
% 0.89/1.24 [583=demod(9),[582],
% 0.89/1.24 multiply(inverse(multiply(X10,inverse(multiply(X11,X12)))),multiply(X10,inverse(X12))) = X11].
% 0.89/1.24 [584=demod(220),[583],
% 0.89/1.24 multiply(X10,inverse(multiply(inverse(X11),X11))) = X10].
% 0.89/1.24 [621=demod(447),[579,571,584,584],
% 0.89/1.24 multiply(multiply(X10,X11),inverse(X12)) = multiply(X10,multiply(X11,inverse(X12)))].
% 0.89/1.24 [631=demod(478),[621,584,571,571],
% 0.89/1.24 multiply(multiply(X10,X11),X12) = multiply(X10,multiply(X11,X12))].
% 0.89/1.24 [640=param(3,631),[2],
% 0.89/1.24 thmtrue = thmfalse].
% 0.89/1.24 % SZS output end CNFRefutation
% 0.89/1.24 Space: 823 KB
%------------------------------------------------------------------------------