TSTP Solution File: GRP440-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : GRP440-1 : 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 09:14:02 EDT 2022

% Result   : Unsatisfiable 0.84s 1.20s
% Output   : CNFRefutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP440-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n027.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 10:54:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.84/1.20  Theorem Proved.
% 0.84/1.20  % SZS status Unsatisfiable
% 0.84/1.20  % SZS output start CNFRefutation
% 0.84/1.20  [1=axiom,[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(X13,multiply(X10,X12))))))) 	= X13].
% 0.84/1.20  [2=axiom,[],
% 0.84/1.20  			thtop(X10,X10) 	= thmfalse].
% 0.84/1.20  [3=axiom,[],
% 0.84/1.20  			thtop(multiply(multiply(inverse(b2),b2),a2),a2) 	= thmtrue].
% 0.84/1.20  [4=param(1,1),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),X12),inverse(multiply(X13,multiply(X14,X12))))),X13)))) 	= X14].
% 0.84/1.20  [5=param(1,4),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),multiply(multiply(inverse(X12),X13),inverse(multiply(X14,multiply(X15,X13))))),X14)),X15)))) 	= X12].
% 0.84/1.20  [6=param(1,1),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(multiply(X11,multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(X14,multiply(X11,X13)))))),multiply(multiply(X14,X15),inverse(multiply(X16,multiply(X10,X15))))))) 	= X16].
% 0.84/1.20  [10=param(1,6),[],
% 0.84/1.20  			inverse(multiply(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(X13,multiply(X10,X12)))))),multiply(X14,multiply(multiply(inverse(X14),multiply(multiply(X13,X15),inverse(multiply(X16,multiply(X17,X15))))),X16)))) 	= X17].
% 0.84/1.20  [16=param(1,10),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(multiply(inverse(X10),multiply(multiply(X12,X13),inverse(multiply(X14,multiply(X15,X13))))),X14)),X15)))) 	= multiply(X16,multiply(X17,multiply(multiply(inverse(X17),X18),inverse(multiply(X12,multiply(X16,X18))))))].
% 0.84/1.20  [18=param(16,5),[],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X13),multiply(X10,X12)))))) 	= X13].
% 0.84/1.20  [20=param(1,18),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(X12,inverse(multiply(X13,multiply(X10,multiply(X14,multiply(multiply(inverse(X14),X15),inverse(multiply(inverse(X12),multiply(inverse(X11),X15)))))))))))) 	= X13].
% 0.84/1.20  [21=param(1,18),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X14),multiply(X10,X13)))))),inverse(multiply(X15,X14)))))) 	= X15].
% 0.84/1.20  [24=param(1,20),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,multiply(X14,multiply(X15,multiply(multiply(inverse(X15),X16),inverse(multiply(inverse(X12),multiply(inverse(X10),X16)))))))))),X13)))) 	= X14].
% 0.84/1.20  [25=param(20,16),[5],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(X11,inverse(multiply(X12,X11)))))) 	= X12].
% 0.84/1.20  [28=param(1,25),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)))) 	= inverse(X10)].
% 0.84/1.20  [42=param(25,25),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(multiply(X11,multiply(X12,inverse(multiply(X13,X12)))),X13)))) 	= inverse(X11)].
% 0.84/1.20  [60=param(25,28),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),inverse(X14))))) 	= X14].
% 0.84/1.20  [83=param(60,6),[1],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13))) 	= X10].
% 0.84/1.20  [87=param(1,83),[83],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(X12,X10)))))) 	= X12].
% 0.84/1.20  [113=param(42,83),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(X11,multiply(X12,inverse(multiply(multiply(X13,multiply(multiply(inverse(X13),multiply(X14,inverse(multiply(X15,X14)))),X15)),X12))))))) 	= inverse(X11)].
% 0.84/1.20  [124=param(1,87),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(inverse(X10),inverse(multiply(X12,X13)))),X12)))) 	= X13].
% 0.84/1.20  [143=param(25,87),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(multiply(X11,multiply(inverse(X11),inverse(multiply(X12,X13)))),X12)))) 	= X13].
% 0.84/1.20  [151=param(87,87),[],
% 0.84/1.20  			inverse(multiply(multiply(X10,multiply(inverse(X10),inverse(multiply(X11,X12)))),multiply(X13,multiply(inverse(X13),X11)))) 	= X12].
% 0.84/1.20  [192=param(151,83),[],
% 0.84/1.20  			inverse(multiply(multiply(X10,multiply(inverse(X10),inverse(multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),X14)))),multiply(X15,inverse(X15)))) 	= X14].
% 0.84/1.20  [218=param(124,24),[],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(inverse(X13)),multiply(inverse(X13),X12)))))) 	= X10].
% 0.84/1.20  [236=param(218,1),[1],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(multiply(inverse(X11),X12),inverse(multiply(inverse(X13),multiply(X13,X12)))))) 	= X10].
% 0.84/1.20  [277=param(236,83),[83],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(inverse(X12),X12))))) 	= X10].
% 0.84/1.20  [328=param(277,83),[],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(inverse(X11),inverse(inverse(multiply(X12,multiply(multiply(inverse(X12),multiply(X13,inverse(multiply(X14,X13)))),X14))))))) 	= X10].
% 0.84/1.20  [342=param(151,277),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),X12))))) 	= X12].
% 0.84/1.20  [384=param(87,342),[],
% 0.84/1.20  			inverse(multiply(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),X12))),multiply(X13,multiply(inverse(X13),X12)))) 	= X10].
% 0.84/1.20  [423=param(384,277),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),inverse(multiply(inverse(multiply(inverse(X11),X11)),inverse(multiply(inverse(X12),X12)))))) 	= X10].
% 0.84/1.20  [458=param(277,423),[],
% 0.84/1.20  			multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(inverse(multiply(inverse(X12),X12)),inverse(multiply(inverse(X13),X13))))))) 	= X10].
% 0.84/1.20  [464=param(21,458),[342],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(multiply(inverse(X14),X14)),multiply(X10,X13)))))),inverse(X15))))) 	= X15].
% 0.84/1.20  [479=param(143,458),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(X11,multiply(inverse(X11),inverse(multiply(multiply(X12,multiply(inverse(X12),inverse(multiply(inverse(multiply(inverse(X13),X13)),inverse(multiply(inverse(X14),X14)))))),X15))))))) 	= X15].
% 0.84/1.20  [485=param(384,458),[423],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(inverse(X11),X11))) 	= X10].
% 0.84/1.20  [499=param(21,485),[],
% 0.84/1.20  			inverse(multiply(X10,multiply(X11,multiply(multiply(inverse(X11),multiply(X12,multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(multiply(inverse(X14),X14)),multiply(X10,X13)))))),X15)))) 	= inverse(X15)].
% 0.84/1.20  [500=demod(464),[499],
% 0.84/1.20  			inverse(inverse(X10)) 	= X10].
% 0.84/1.20  [549=demod(328),[500,83],
% 0.84/1.20  			multiply(X10,multiply(X11,inverse(X11))) 	= X10].
% 0.84/1.20  [551=demod(192),[549],
% 0.84/1.20  			inverse(multiply(X10,multiply(inverse(X10),inverse(multiply(multiply(X11,multiply(multiply(inverse(X11),multiply(X12,inverse(multiply(X13,X12)))),X13)),X14))))) 	= X14].
% 0.84/1.20  [613=param(25,485),[],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,multiply(multiply(inverse(X11),X11),X12)))) 	= inverse(X12)].
% 0.84/1.20  [621=param(87,485),[],
% 0.84/1.20  			inverse(multiply(multiply(inverse(X10),X10),multiply(X11,multiply(inverse(X11),X12)))) 	= inverse(X12)].
% 0.84/1.20  [624=param(485,342),[],
% 0.84/1.20  			multiply(inverse(multiply(inverse(X10),X10)),X11) 	= X11].
% 0.84/1.20  [636=demod(342),[624],
% 0.84/1.20  			inverse(multiply(X10,multiply(inverse(X10),inverse(X11)))) 	= X11].
% 0.84/1.20  [641=demod(551),[636],
% 0.84/1.20  			multiply(multiply(X10,multiply(multiply(inverse(X10),multiply(X11,inverse(multiply(X12,X11)))),X12)),X13) 	= X13].
% 0.84/1.20  [658=demod(113),[641,549],
% 0.84/1.20  			inverse(multiply(inverse(X10),multiply(X10,X11))) 	= inverse(X11)].
% 0.84/1.20  [681=demod(613),[658],
% 0.84/1.20  			inverse(multiply(multiply(inverse(X10),X10),X11)) 	= inverse(X11)].
% 0.84/1.20  [682=demod(621),[681],
% 0.84/1.20  			inverse(multiply(X10,multiply(inverse(X10),X11))) 	= inverse(X11)].
% 0.84/1.20  [769=demod(479),[624,500,658,682,500],
% 0.84/1.20  			multiply(multiply(X10,multiply(inverse(X10),multiply(inverse(X11),X11))),X12) 	= X12].
% 0.84/1.20  [797=param(500,485),[],
% 0.84/1.20  			multiply(inverse(X10),multiply(inverse(X11),X11)) 	= inverse(X10)].
% 0.84/1.20  [808=demod(769),[797],
% 0.84/1.20  			multiply(multiply(X10,inverse(X10)),X11) 	= X11].
% 0.84/1.20  [813=param(808,500),[],
% 0.84/1.20  			multiply(multiply(inverse(X10),X10),X11) 	= X11].
% 0.84/1.20  [820=param(3,813),[2],
% 0.84/1.20  			thmtrue 	= thmfalse].
% 0.84/1.20  % SZS output end CNFRefutation
% 0.84/1.20  Space:   1359 KB 
%------------------------------------------------------------------------------