TSTP Solution File: REL027-3 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : REL027-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n025.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 : Mon Jul 18 19:23:33 EDT 2022

% Result   : Unsatisfiable 10.07s 10.47s
% Output   : CNFRefutation 10.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : REL027-3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13  % Command  : fiesta-wrapper %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 08:04:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 10.07/10.47  Theorem Proved.
% 10.07/10.47  % SZS status Unsatisfiable
% 10.07/10.47  % SZS output start CNFRefutation
% 10.07/10.47  [1=axiom,[],
% 10.07/10.47  			join(sk1,one) 	= one].
% 10.07/10.47  [3=axiom,[],
% 10.07/10.47  			join(meet(composition(X10,X11),X12),meet(composition(X10,meet(X11,composition(converse(X10),X12))),X12)) 	= meet(composition(X10,meet(X11,composition(converse(X10),X12))),X12)].
% 10.07/10.47  [5=axiom,[],
% 10.07/10.47  			meet(X10,complement(X10)) 	= zero].
% 10.07/10.47  [6=axiom,[],
% 10.07/10.47  			join(X10,complement(X10)) 	= top].
% 10.07/10.47  [7=axiom,[],
% 10.07/10.47  			join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) 	= complement(X11)].
% 10.07/10.47  [8=axiom,[],
% 10.07/10.47  			converse(composition(X10,X11)) 	= composition(converse(X11),converse(X10))].
% 10.07/10.47  [9=axiom,[],
% 10.07/10.47  			join(converse(X10),converse(X11)) 	= converse(join(X10,X11))].
% 10.07/10.47  [10=axiom,[],
% 10.07/10.47  			converse(converse(X10)) 	= X10].
% 10.07/10.47  [11=axiom,[],
% 10.07/10.47  			join(composition(X10,X12),composition(X11,X12)) 	= composition(join(X10,X11),X12)].
% 10.07/10.47  [12=axiom,[],
% 10.07/10.47  			composition(X10,one) 	= X10].
% 10.07/10.47  [13=axiom,[],
% 10.07/10.47  			composition(composition(X10,X11),X12) 	= composition(X10,composition(X11,X12))].
% 10.07/10.47  [14=axiom,[],
% 10.07/10.47  			complement(join(complement(X10),complement(X11))) 	= meet(X10,X11)].
% 10.07/10.47  [15=axiom,[14],
% 10.07/10.47  			join(meet(X10,X11),complement(join(complement(X10),X11))) 	= X10].
% 10.07/10.47  [16=axiom,[],
% 10.07/10.47  			join(join(X10,X11),X12) 	= join(X10,join(X11,X12))].
% 10.07/10.47  [17=axiom,[],
% 10.07/10.47  			join(X10,X11) 	= join(X11,X10)].
% 10.07/10.47  [19=demod(7),[17],
% 10.07/10.47  			join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) 	= complement(X10)].
% 10.07/10.47  [20=axiom,[],
% 10.07/10.47  			thtop(X10,X10) 	= thmfalse].
% 10.07/10.47  [21=axiom,[],
% 10.07/10.47  			thtop(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) 	= thmtrue].
% 10.07/10.47  [23=param(9,10),[],
% 10.07/10.47  			join(converse(X10),X11) 	= converse(join(X10,converse(X11)))].
% 10.07/10.47  [25=param(10,8),[],
% 10.07/10.47  			converse(composition(converse(X10),converse(X11))) 	= composition(X11,X10)].
% 10.07/10.47  [27=param(8,12),[],
% 10.07/10.47  			composition(converse(one),converse(X10)) 	= converse(X10)].
% 10.07/10.47  [28=param(8,10),[],
% 10.07/10.47  			composition(X10,converse(X11)) 	= converse(composition(X11,converse(X10)))].
% 10.07/10.47  [29=param(8,10),[],
% 10.07/10.47  			composition(converse(X10),X11) 	= converse(composition(converse(X11),X10))].
% 10.07/10.47  [31=param(27,10),[10],
% 10.07/10.47  			composition(converse(one),X10) 	= X10].
% 10.07/10.47  [32=param(31,12),[],
% 10.07/10.47  			converse(one) 	= one].
% 10.07/10.47  [33=demod(31),[32],
% 10.07/10.47  			composition(one,X10) 	= X10].
% 10.07/10.47  [35=param(11,33),[],
% 10.07/10.47  			join(X10,composition(X11,X10)) 	= composition(join(one,X11),X10)].
% 10.07/10.47  [36=param(11,33),[17],
% 10.07/10.47  			join(X10,composition(X11,X10)) 	= composition(join(X11,one),X10)].
% 10.07/10.47  [39=param(23,6),[],
% 10.07/10.47  			converse(join(X10,converse(complement(converse(X10))))) 	= top].
% 10.07/10.47  [41=param(23,17),[],
% 10.07/10.47  			converse(join(X10,converse(X11))) 	= join(X11,converse(X10))].
% 10.07/10.47  [42=param(23,32),[],
% 10.07/10.47  			converse(join(one,converse(X10))) 	= join(one,X10)].
% 10.07/10.47  [46=param(42,10),[],
% 10.07/10.47  			join(one,converse(X10)) 	= converse(join(one,X10))].
% 10.07/10.47  [48=param(14,6),[5],
% 10.07/10.47  			complement(top) 	= zero].
% 10.07/10.47  [49=param(6,14),[16],
% 10.07/10.47  			join(complement(X10),join(complement(X11),meet(X10,X11))) 	= top].
% 10.07/10.47  [50=param(14,14),[],
% 10.07/10.47  			complement(join(meet(X10,X11),complement(X12))) 	= meet(join(complement(X10),complement(X11)),X12)].
% 10.07/10.47  [51=param(14,14),[],
% 10.07/10.47  			complement(join(complement(X10),meet(X11,X12))) 	= meet(X10,join(complement(X11),complement(X12)))].
% 10.07/10.47  [52=param(14,17),[14],
% 10.07/10.47  			meet(X10,X11) 	= meet(X11,X10)].
% 10.07/10.47  [53=demod(3),[52,52],
% 10.07/10.47  			join(meet(composition(X10,X11),X12),meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))) 	= meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))].
% 10.07/10.47  [58=param(14,48),[],
% 10.07/10.47  			complement(join(zero,complement(X10))) 	= meet(top,X10)].
% 10.07/10.47  [59=param(15,5),[14],
% 10.07/10.47  			join(zero,meet(X10,X10)) 	= X10].
% 10.07/10.47  [60=param(15,6),[48,17],
% 10.07/10.47  			join(zero,meet(X10,complement(complement(X10)))) 	= X10].
% 10.07/10.47  [62=param(15,17),[],
% 10.07/10.47  			join(meet(X10,X11),complement(join(X11,complement(X10)))) 	= X10].
% 10.07/10.47  [65=param(16,1),[],
% 10.07/10.47  			join(sk1,join(one,X10)) 	= join(one,X10)].
% 10.07/10.47  [68=param(16,15),[],
% 10.07/10.47  			join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) 	= join(X10,X11)].
% 10.07/10.47  [69=param(16,17),[],
% 10.07/10.47  			join(X10,join(X11,X12)) 	= join(X12,join(X10,X11))].
% 10.07/10.47  [70=param(16,17),[16],
% 10.07/10.47  			join(X10,join(X11,X12)) 	= join(X11,join(X10,X12))].
% 10.07/10.47  [73=param(15,52),[],
% 10.07/10.47  			join(meet(X10,X11),complement(join(complement(X11),X10))) 	= X11].
% 10.07/10.47  [74=param(21,52),[52],
% 10.07/10.47  			thtop(meet(one,complement(composition(sk1,top))),meet(one,complement(sk1))) 	= thmtrue].
% 10.07/10.47  [86=param(19,8),[10],
% 10.07/10.47  			join(complement(converse(X10)),composition(X11,complement(converse(composition(X10,X11))))) 	= complement(converse(X10))].
% 10.07/10.47  [87=param(19,10),[],
% 10.07/10.47  			join(complement(X10),composition(X11,complement(composition(converse(X11),X10)))) 	= complement(X10)].
% 10.07/10.47  [90=param(19,32),[33,33],
% 10.07/10.47  			join(complement(X10),complement(X10)) 	= complement(X10)].
% 10.07/10.47  [91=param(19,48),[48],
% 10.07/10.47  			join(zero,composition(converse(X10),complement(composition(X10,top)))) 	= zero].
% 10.07/10.47  [93=param(14,90),[],
% 10.07/10.47  			meet(X10,X10) 	= complement(complement(X10))].
% 10.07/10.47  [95=demod(59),[93],
% 10.07/10.47  			join(zero,complement(complement(X10))) 	= X10].
% 10.07/10.47  [97=param(90,48),[48,48],
% 10.07/10.47  			join(zero,zero) 	= zero].
% 10.07/10.47  [98=param(16,97),[],
% 10.07/10.47  			join(zero,join(zero,X10)) 	= join(zero,X10)].
% 10.07/10.47  [103=param(95,14),[],
% 10.07/10.47  			join(complement(X10),complement(X11)) 	= join(zero,complement(meet(X10,X11)))].
% 10.07/10.47  [105=demod(50),[103],
% 10.07/10.47  			complement(join(meet(X10,X11),complement(X12))) 	= meet(join(zero,complement(meet(X10,X11))),X12)].
% 10.07/10.47  [107=demod(51),[103],
% 10.07/10.47  			complement(join(complement(X10),meet(X11,X12))) 	= meet(X10,join(zero,complement(meet(X11,X12))))].
% 10.07/10.47  [122=param(98,17),[16],
% 10.07/10.47  			join(zero,join(X10,zero)) 	= join(zero,X10)].
% 10.07/10.47  [123=param(98,95),[95],
% 10.07/10.47  			join(zero,X10) 	= X10].
% 10.07/10.47  [124=demod(60),[123],
% 10.07/10.47  			meet(X10,complement(complement(X10))) 	= X10].
% 10.07/10.47  [125=demod(58),[123],
% 10.07/10.47  			meet(top,X10) 	= complement(complement(X10))].
% 10.07/10.47  [130=demod(95),[123],
% 10.07/10.47  			complement(complement(X10)) 	= X10].
% 10.07/10.47  [131=demod(125),[130],
% 10.07/10.47  			meet(top,X10) 	= X10].
% 10.07/10.47  [132=demod(124),[130],
% 10.07/10.47  			meet(X10,X10) 	= X10].
% 10.07/10.47  [134=demod(105),[123],
% 10.07/10.47  			complement(join(meet(X10,X11),complement(X12))) 	= meet(complement(meet(X10,X11)),X12)].
% 10.07/10.47  [135=demod(103),[123],
% 10.07/10.47  			join(complement(X10),complement(X11)) 	= complement(meet(X10,X11))].
% 10.07/10.47  [136=demod(107),[123],
% 10.07/10.47  			complement(join(complement(X10),meet(X11,X12))) 	= meet(X10,complement(meet(X11,X12)))].
% 10.07/10.47  [137=demod(91),[123],
% 10.07/10.47  			composition(converse(X10),complement(composition(X10,top))) 	= zero].
% 10.07/10.47  [138=demod(122),[123,123],
% 10.07/10.47  			join(X10,zero) 	= X10].
% 10.07/10.47  [143=param(138,23),[],
% 10.07/10.47  			converse(join(X10,converse(zero))) 	= converse(X10)].
% 10.07/10.47  [175=param(130,48),[],
% 10.07/10.47  			complement(zero) 	= top].
% 10.07/10.47  [189=param(36,1),[33],
% 10.07/10.47  			join(X10,composition(sk1,X10)) 	= X10].
% 10.07/10.47  [193=param(36,23),[32],
% 10.07/10.47  			composition(converse(join(X10,one)),X11) 	= join(X11,composition(converse(X10),X11))].
% 10.07/10.47  [207=param(189,28),[23,10],
% 10.07/10.47  			converse(join(X10,composition(X10,converse(sk1)))) 	= converse(X10)].
% 10.07/10.47  [223=param(10,39),[],
% 10.07/10.47  			join(X10,converse(complement(converse(X10)))) 	= converse(top)].
% 10.07/10.47  [242=param(10,143),[10],
% 10.07/10.47  			join(X10,converse(zero)) 	= X10].
% 10.07/10.47  [263=param(242,123),[],
% 10.07/10.47  			converse(zero) 	= zero].
% 10.07/10.47  [286=param(49,132),[17,6,17],
% 10.07/10.47  			join(top,complement(X10)) 	= top].
% 10.07/10.47  [291=param(286,130),[],
% 10.07/10.47  			join(top,X10) 	= top].
% 10.07/10.47  [296=param(291,17),[],
% 10.07/10.47  			join(X10,top) 	= top].
% 10.07/10.47  [298=param(36,291),[],
% 10.07/10.47  			join(X10,composition(top,X10)) 	= composition(top,X10)].
% 10.07/10.47  [299=param(41,291),[],
% 10.07/10.47  			join(X10,converse(top)) 	= converse(top)].
% 10.07/10.47  [302=param(299,291),[],
% 10.07/10.47  			converse(top) 	= top].
% 10.07/10.47  [304=demod(223),[302],
% 10.07/10.47  			join(X10,converse(complement(converse(X10)))) 	= top].
% 10.07/10.47  [313=param(25,302),[],
% 10.07/10.47  			converse(composition(top,converse(X10))) 	= composition(X10,top)].
% 10.07/10.47  [318=param(15,304),[48,17,123],
% 10.07/10.47  			meet(X10,converse(complement(converse(complement(X10))))) 	= X10].
% 10.07/10.47  [324=param(35,304),[32],
% 10.07/10.47  			join(X10,composition(converse(complement(one)),X10)) 	= composition(top,X10)].
% 10.07/10.47  [336=param(298,291),[],
% 10.07/10.47  			composition(top,top) 	= top].
% 10.07/10.47  [337=param(13,336),[],
% 10.07/10.47  			composition(top,composition(top,X10)) 	= composition(top,X10)].
% 10.07/10.47  [389=param(70,6),[296],
% 10.07/10.47  			join(X10,join(X11,complement(X10))) 	= top].
% 10.07/10.47  [393=param(70,36),[],
% 10.07/10.47  			join(X10,composition(join(X11,one),X12)) 	= join(X12,join(X10,composition(X11,X12)))].
% 10.07/10.47  [398=param(70,65),[],
% 10.07/10.47  			join(one,join(sk1,X10)) 	= join(one,X10)].
% 10.07/10.47  [415=param(398,304),[17,291,46],
% 10.07/10.47  			converse(join(one,complement(converse(sk1)))) 	= top].
% 10.07/10.47  [420=param(73,5),[130,123],
% 10.07/10.47  			complement(join(X10,X10)) 	= complement(X10)].
% 10.07/10.47  [426=param(70,73),[],
% 10.07/10.47  			join(meet(X12,X11),join(X10,complement(join(complement(X11),X12)))) 	= join(X10,X11)].
% 10.07/10.47  [442=param(130,420),[130],
% 10.07/10.47  			join(X10,X10) 	= X10].
% 10.07/10.47  [451=param(69,442),[],
% 10.07/10.47  			join(X11,join(X10,X11)) 	= join(X10,X11)].
% 10.07/10.47  [478=param(451,68),[17,15],
% 10.07/10.47  			join(X10,meet(X10,X11)) 	= X10].
% 10.07/10.47  [484=param(478,52),[],
% 10.07/10.47  			join(X10,meet(X11,X10)) 	= X10].
% 10.07/10.47  [487=param(398,478),[17,1],
% 10.07/10.47  			join(one,meet(sk1,X10)) 	= one].
% 10.07/10.47  [541=param(10,415),[302],
% 10.07/10.47  			join(one,complement(converse(sk1))) 	= top].
% 10.07/10.47  [546=param(62,541),[52,48,17,123],
% 10.07/10.47  			meet(one,converse(sk1)) 	= converse(sk1)].
% 10.07/10.47  [558=param(389,68),[],
% 10.07/10.47  			join(X10,complement(meet(X10,X11))) 	= top].
% 10.07/10.47  [559=param(389,69),[],
% 10.07/10.47  			join(complement(X10),join(X10,X11)) 	= top].
% 10.07/10.47  [563=param(559,11),[],
% 10.07/10.47  			join(complement(composition(X10,X11)),composition(join(X10,X12),X11)) 	= top].
% 10.07/10.47  [575=param(559,73),[17],
% 10.07/10.47  			join(X10,complement(meet(X11,X10))) 	= top].
% 10.07/10.47  [601=param(70,575),[296],
% 10.07/10.47  			join(X10,join(X11,complement(meet(X12,X10)))) 	= top].
% 10.07/10.47  [619=param(62,558),[52,48,17,123],
% 10.07/10.47  			meet(X10,meet(X10,X11)) 	= meet(X10,X11)].
% 10.07/10.47  [655=param(19,337),[302,35,17,291],
% 10.07/10.47  			composition(top,complement(composition(top,X10))) 	= complement(composition(top,X10))].
% 10.07/10.47  [664=param(134,73),[],
% 10.07/10.47  			meet(complement(meet(X11,X10)),join(complement(X10),X11)) 	= complement(X10)].
% 10.07/10.47  [671=param(69,135),[],
% 10.07/10.47  			join(X10,complement(meet(X11,X12))) 	= join(complement(X12),join(X10,complement(X11)))].
% 10.07/10.47  [672=param(70,135),[],
% 10.07/10.47  			join(X10,complement(meet(X11,X12))) 	= join(complement(X11),join(X10,complement(X12)))].
% 10.07/10.47  [674=param(135,130),[],
% 10.07/10.47  			join(X10,complement(X11)) 	= complement(meet(complement(X10),X11))].
% 10.07/10.47  [700=demod(426),[674,674],
% 10.07/10.47  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),join(complement(X11),X10)))) 	= join(X12,X11)].
% 10.07/10.47  [718=demod(601),[674,674],
% 10.07/10.47  			complement(meet(complement(X10),meet(complement(X11),meet(X12,X10)))) 	= top].
% 10.07/10.47  [723=demod(558),[674],
% 10.07/10.47  			complement(meet(complement(X10),meet(X10,X11))) 	= top].
% 10.07/10.47  [729=demod(671),[674,674,674,130],
% 10.07/10.47  			complement(meet(complement(X10),meet(X11,X12))) 	= complement(meet(X12,meet(complement(X10),X11)))].
% 10.07/10.47  [733=demod(672),[674,674,674,130],
% 10.07/10.47  			complement(meet(complement(X10),meet(X11,X12))) 	= complement(meet(X11,meet(complement(X10),X12)))].
% 10.07/10.47  [736=demod(723),[],
% 10.07/10.47  			complement(meet(complement(X10),meet(X10,X11))) 	= top].
% 10.07/10.47  [741=param(136,52),[136],
% 10.07/10.47  			meet(X10,complement(meet(X11,X12))) 	= meet(X10,complement(meet(X12,X11)))].
% 10.07/10.47  [752=param(86,137),[10,263,175,-313,10],
% 10.07/10.47  			join(complement(X10),converse(composition(top,converse(complement(composition(X10,top)))))) 	= complement(X10)].
% 10.07/10.47  [756=param(674,17),[],
% 10.07/10.47  			join(complement(X11),X10) 	= complement(meet(complement(X10),X11))].
% 10.07/10.47  [764=demod(664),[756],
% 10.07/10.47  			meet(complement(meet(X10,X11)),complement(meet(complement(X10),X11))) 	= complement(X11)].
% 10.07/10.47  [771=demod(87),[756,52],
% 10.07/10.47  			complement(meet(X10,complement(composition(X11,complement(composition(converse(X11),X10)))))) 	= complement(X10)].
% 10.07/10.47  [772=demod(19),[756,52],
% 10.07/10.47  			complement(meet(X10,complement(composition(converse(X11),complement(composition(X11,X10)))))) 	= complement(X10)].
% 10.07/10.47  [777=demod(563),[756,52],
% 10.07/10.47  			complement(meet(composition(X10,X11),complement(composition(join(X10,X12),X11)))) 	= top].
% 10.07/10.47  [802=demod(752),[756,52],
% 10.07/10.47  			complement(meet(X10,complement(converse(composition(top,converse(complement(composition(X10,top)))))))) 	= complement(X10)].
% 10.07/10.47  [804=demod(700),[756],
% 10.07/10.47  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) 	= join(X12,X11)].
% 10.07/10.47  [822=param(674,23),[],
% 10.07/10.47  			converse(join(X10,converse(complement(X11)))) 	= complement(meet(complement(converse(X10)),X11))].
% 10.07/10.47  [825=param(65,674),[674,674],
% 10.07/10.47  			complement(meet(complement(sk1),meet(complement(one),X10))) 	= complement(meet(complement(one),X10))].
% 10.07/10.47  [827=param(674,130),[],
% 10.07/10.47  			join(X10,X11) 	= complement(meet(complement(X10),complement(X11)))].
% 10.07/10.47  [828=demod(1),[827],
% 10.07/10.47  			complement(meet(complement(sk1),complement(one))) 	= one].
% 10.07/10.47  [844=demod(53),[827],
% 10.07/10.47  			complement(meet(complement(meet(composition(X10,X11),X12)),complement(meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))))) 	= meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))].
% 10.07/10.47  [852=demod(484),[827],
% 10.07/10.47  			complement(meet(complement(X10),complement(meet(X11,X10)))) 	= X10].
% 10.07/10.47  [855=demod(487),[827],
% 10.07/10.47  			complement(meet(complement(one),complement(meet(sk1,X10)))) 	= one].
% 10.07/10.47  [867=demod(804),[827],
% 10.07/10.47  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) 	= complement(meet(complement(X12),complement(X11)))].
% 10.07/10.47  [876=demod(35),[827,827],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(X11,X10)))) 	= composition(complement(meet(complement(one),complement(X11))),X10)].
% 10.07/10.47  [883=demod(193),[827,827],
% 10.07/10.47  			composition(converse(complement(meet(complement(X10),complement(one)))),X11) 	= complement(meet(complement(X11),complement(composition(converse(X10),X11))))].
% 10.07/10.47  [886=demod(324),[827],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(converse(complement(one)),X10)))) 	= composition(top,X10)].
% 10.07/10.47  [890=demod(207),[827],
% 10.07/10.47  			converse(complement(meet(complement(X10),complement(composition(X10,converse(sk1)))))) 	= converse(X10)].
% 10.07/10.47  [896=demod(189),[827],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(sk1,X10)))) 	= X10].
% 10.07/10.47  [916=demod(777),[827],
% 10.07/10.47  			complement(meet(composition(X10,X11),complement(composition(complement(meet(complement(X10),complement(X12))),X11)))) 	= top].
% 10.07/10.47  [950=demod(304),[827],
% 10.07/10.47  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= top].
% 10.07/10.47  [953=demod(822),[827],
% 10.07/10.47  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 10.07/10.47  [1076=demod(393),[827,827,827,827,130],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(complement(meet(complement(X11),complement(one))),X12)))) 	= complement(meet(complement(X12),meet(complement(X10),complement(composition(X11,X12)))))].
% 10.07/10.47  [1101=param(130,828),[],
% 10.07/10.47  			meet(complement(sk1),complement(one)) 	= complement(one)].
% 10.07/10.47  [1119=param(5,736),[52,131],
% 10.07/10.47  			meet(complement(X10),meet(X10,X11)) 	= zero].
% 10.07/10.47  [1121=param(1119,130),[],
% 10.07/10.47  			meet(X10,meet(complement(X10),X11)) 	= zero].
% 10.07/10.47  [1138=param(655,28),[302],
% 10.07/10.47  			composition(top,complement(converse(composition(X10,top)))) 	= complement(composition(top,converse(X10)))].
% 10.07/10.47  [1159=param(130,896),[],
% 10.07/10.47  			meet(complement(X10),complement(composition(sk1,X10))) 	= complement(X10)].
% 10.07/10.47  [1179=param(130,855),[],
% 10.07/10.47  			meet(complement(one),complement(meet(sk1,X10))) 	= complement(one)].
% 10.07/10.47  [1181=param(130,852),[],
% 10.07/10.47  			meet(complement(X10),complement(meet(X11,X10))) 	= complement(X10)].
% 10.07/10.47  [1187=param(1181,52),[],
% 10.07/10.47  			meet(complement(X10),complement(meet(X10,X11))) 	= complement(X10)].
% 10.07/10.47  [1191=param(1181,1159),[130,130,52,130],
% 10.07/10.47  			meet(X10,composition(sk1,X10)) 	= composition(sk1,X10)].
% 10.07/10.47  [1199=param(1187,546),[],
% 10.07/10.47  			meet(complement(one),complement(converse(sk1))) 	= complement(one)].
% 10.07/10.47  [1209=param(5,718),[52,131],
% 10.07/10.47  			meet(complement(X10),meet(complement(X11),meet(X12,X10))) 	= zero].
% 10.07/10.47  [1213=param(1209,130),[],
% 10.07/10.47  			meet(complement(X10),meet(X11,meet(X12,X10))) 	= zero].
% 10.07/10.47  [1225=param(1213,1159),[130],
% 10.07/10.47  			meet(composition(sk1,X10),meet(X11,complement(X10))) 	= zero].
% 10.07/10.47  [1230=param(1213,1187),[130],
% 10.07/10.47  			meet(meet(X10,X11),meet(X12,complement(X10))) 	= zero].
% 10.07/10.47  [1238=param(1230,52),[],
% 10.07/10.47  			meet(meet(X10,X11),meet(complement(X10),X12)) 	= zero].
% 10.07/10.47  [1253=param(130,729),[130],
% 10.07/10.47  			meet(X10,meet(complement(X11),X12)) 	= meet(complement(X11),meet(X12,X10))].
% 10.07/10.47  [1294=param(130,733),[130],
% 10.07/10.47  			meet(X10,meet(complement(X11),X12)) 	= meet(complement(X11),meet(X10,X12))].
% 10.07/10.47  [1295=demod(1238),[],
% 10.07/10.47  			meet(meet(X10,X11),meet(complement(X10),X12)) 	= zero].
% 10.07/10.47  [1328=param(1295,52),[],
% 10.07/10.47  			meet(meet(X10,X11),meet(complement(X11),X12)) 	= zero].
% 10.07/10.47  [1409=param(764,741),[],
% 10.07/10.47  			meet(complement(meet(X11,X10)),complement(meet(X10,complement(X11)))) 	= complement(X10)].
% 10.07/10.47  [1432=param(130,771),[130],
% 10.07/10.47  			meet(X10,complement(composition(X11,complement(composition(converse(X11),X10))))) 	= X10].
% 10.07/10.47  [1441=param(130,772),[130],
% 10.07/10.47  			meet(X10,complement(composition(converse(X11),complement(composition(X11,X10))))) 	= X10].
% 10.07/10.47  [1499=param(130,802),[130],
% 10.07/10.47  			meet(X10,complement(converse(composition(top,converse(complement(composition(X10,top))))))) 	= X10].
% 10.07/10.47  [1540=param(130,825),[130],
% 10.07/10.47  			meet(complement(sk1),meet(complement(one),X10)) 	= meet(complement(one),X10)].
% 10.07/10.47  [1629=param(1187,1540),[130,130],
% 10.07/10.47  			meet(sk1,complement(meet(complement(one),X10))) 	= sk1].
% 10.07/10.47  [1738=param(867,1187),[130,52,130],
% 10.07/10.47  			complement(meet(X10,complement(meet(X10,X11)))) 	= complement(meet(X10,complement(X11)))].
% 10.07/10.47  [1742=param(130,1738),[130],
% 10.07/10.47  			meet(X10,complement(meet(X10,X11))) 	= meet(X10,complement(X11))].
% 10.07/10.47  [1743=param(1742,52),[],
% 10.07/10.47  			meet(X10,complement(meet(X11,X10))) 	= meet(X10,complement(X11))].
% 10.07/10.47  [1830=param(1743,1225),[175,52,131,52,-1253],
% 10.07/10.47  			meet(X10,complement(X11)) 	= meet(complement(X11),meet(complement(composition(sk1,X11)),X10))].
% 10.07/10.47  [1912=param(876,1199),[130,33],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(converse(sk1),X10)))) 	= X10].
% 10.07/10.47  [1917=param(130,1912),[],
% 10.07/10.47  			meet(complement(X10),complement(composition(converse(sk1),X10))) 	= complement(X10)].
% 10.07/10.47  [1923=param(1181,1917),[130,130,52,130],
% 10.07/10.47  			meet(X10,composition(converse(sk1),X10)) 	= composition(converse(sk1),X10)].
% 10.07/10.47  [1927=param(1328,1917),[130],
% 10.07/10.47  			meet(complement(X10),meet(composition(converse(sk1),X10),X11)) 	= zero].
% 10.07/10.47  [1928=param(1742,1917),[130,52,5,130],
% 10.07/10.47  			meet(complement(X10),composition(converse(sk1),X10)) 	= zero].
% 10.07/10.47  [1929=param(1928,8),[],
% 10.07/10.47  			meet(complement(converse(X10)),converse(composition(X10,sk1))) 	= zero].
% 10.07/10.47  [1946=param(1179,1923),[],
% 10.07/10.47  			meet(complement(one),complement(composition(converse(sk1),sk1))) 	= complement(one)].
% 10.07/10.47  [1997=param(1181,1946),[130,130,52,130],
% 10.07/10.47  			meet(one,composition(converse(sk1),sk1)) 	= composition(converse(sk1),sk1)].
% 10.07/10.47  [2002=param(1629,883),[29,32,33],
% 10.07/10.47  			meet(sk1,converse(complement(meet(complement(X10),complement(one))))) 	= sk1].
% 10.07/10.47  [2011=param(2002,130),[],
% 10.07/10.47  			meet(sk1,converse(complement(meet(X10,complement(one))))) 	= sk1].
% 10.07/10.47  [2012=param(2011,52),[],
% 10.07/10.47  			meet(sk1,converse(complement(meet(complement(one),X10)))) 	= sk1].
% 10.07/10.47  [2024=param(2012,1923),[],
% 10.07/10.47  			meet(sk1,converse(complement(composition(converse(sk1),complement(one))))) 	= sk1].
% 10.07/10.47  [2031=param(886,25),[10],
% 10.07/10.47  			complement(meet(complement(X10),complement(converse(composition(converse(X10),complement(one)))))) 	= composition(top,X10)].
% 10.07/10.47  [2072=param(10,890),[10],
% 10.07/10.47  			complement(meet(complement(X10),complement(composition(X10,converse(sk1))))) 	= X10].
% 10.07/10.47  [2075=param(130,2072),[],
% 10.07/10.47  			meet(complement(X10),complement(composition(X10,converse(sk1)))) 	= complement(X10)].
% 10.07/10.47  [2080=param(1181,2075),[130,130,52,130],
% 10.07/10.47  			meet(X10,composition(X10,converse(sk1))) 	= composition(X10,converse(sk1))].
% 10.07/10.47  [2330=param(916,5),[175],
% 10.07/10.47  			complement(meet(composition(X10,X11),complement(composition(top,X11)))) 	= top].
% 10.07/10.47  [2332=param(5,2330),[52,131],
% 10.07/10.47  			meet(composition(X10,X11),complement(composition(top,X11))) 	= zero].
% 10.07/10.47  [2336=param(2332,52),[],
% 10.07/10.47  			meet(complement(composition(top,X10)),composition(X11,X10)) 	= zero].
% 10.07/10.47  [2359=param(2336,2080),[28,302,28],
% 10.07/10.47  			converse(composition(sk1,converse(complement(converse(composition(sk1,top)))))) 	= zero].
% 10.07/10.47  [2362=param(10,2359),[263],
% 10.07/10.47  			composition(sk1,converse(complement(converse(composition(sk1,top))))) 	= zero].
% 10.07/10.47  [2526=param(1927,1191),[],
% 10.07/10.47  			meet(complement(X10),composition(sk1,composition(converse(sk1),X10))) 	= zero].
% 10.07/10.47  [2534=param(1742,2526),[175,52,131],
% 10.07/10.47  			meet(complement(X10),complement(composition(sk1,composition(converse(sk1),X10)))) 	= complement(X10)].
% 10.07/10.47  [2535=param(1743,2526),[175,52,131,130,52],
% 10.07/10.47  			meet(X10,composition(sk1,composition(converse(sk1),X10))) 	= composition(sk1,composition(converse(sk1),X10))].
% 10.07/10.47  [2579=param(5,950),[52,131],
% 10.07/10.47  			meet(complement(X10),complement(converse(complement(converse(X10))))) 	= zero].
% 10.07/10.47  [2588=param(1743,2579),[175,52,131,130,52],
% 10.07/10.47  			meet(X10,complement(converse(complement(converse(X10))))) 	= complement(converse(complement(converse(X10))))].
% 10.07/10.47  [2592=param(953,318),[130,130,10,2588,130,10],
% 10.07/10.47  			complement(converse(complement(X10))) 	= converse(X10)].
% 10.07/10.47  [2594=demod(953),[2592],
% 10.07/10.47  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),converse(X11))))].
% 10.07/10.47  [2649=param(2592,130),[],
% 10.07/10.47  			complement(converse(X10)) 	= converse(complement(X10))].
% 10.07/10.47  [2654=demod(2594),[2649],
% 10.07/10.47  			complement(meet(converse(complement(X10)),X11)) 	= converse(complement(meet(complement(X10),converse(X11))))].
% 10.07/10.47  [2674=demod(1929),[2649],
% 10.07/10.47  			meet(converse(complement(X10)),converse(composition(X10,sk1))) 	= zero].
% 10.07/10.47  [2710=demod(1499),[2649],
% 10.07/10.47  			meet(X10,converse(complement(composition(top,converse(complement(composition(X10,top))))))) 	= X10].
% 10.07/10.47  [2731=demod(1138),[2649],
% 10.07/10.47  			composition(top,converse(complement(composition(X10,top)))) 	= complement(composition(top,converse(X10)))].
% 10.07/10.47  [2732=demod(2710),[2731,130],
% 10.07/10.47  			meet(X10,converse(composition(top,converse(X10)))) 	= X10].
% 10.07/10.47  [2749=demod(2031),[2649],
% 10.07/10.47  			complement(meet(complement(X10),converse(complement(composition(converse(X10),complement(one)))))) 	= composition(top,X10)].
% 10.07/10.47  [2800=demod(2362),[2649,10],
% 10.07/10.47  			composition(sk1,complement(composition(sk1,top))) 	= zero].
% 10.07/10.47  [2917=param(2732,8),[10,302],
% 10.07/10.47  			meet(X10,composition(X10,top)) 	= X10].
% 10.07/10.47  [2933=param(1181,2917),[52],
% 10.07/10.47  			meet(complement(X10),complement(composition(X10,top))) 	= complement(composition(X10,top))].
% 10.07/10.47  [3529=param(2654,130),[130],
% 10.07/10.47  			complement(meet(converse(X10),X11)) 	= converse(complement(meet(X10,converse(X11))))].
% 10.07/10.47  [3577=param(130,3529),[2649,130],
% 10.07/10.47  			meet(converse(X10),X11) 	= converse(meet(X10,converse(X11)))].
% 10.07/10.47  [3784=demod(2674),[3577,10],
% 10.07/10.47  			converse(meet(complement(X10),composition(X10,sk1))) 	= zero].
% 10.07/10.47  [3916=param(10,3784),[263],
% 10.07/10.47  			meet(complement(X10),composition(X10,sk1)) 	= zero].
% 10.07/10.47  [3934=param(1743,3916),[175,52,131,130,52],
% 10.07/10.47  			meet(X10,composition(X10,sk1)) 	= composition(X10,sk1)].
% 10.07/10.47  [3948=param(1295,3934),[],
% 10.07/10.47  			meet(composition(X10,sk1),meet(complement(X10),X11)) 	= zero].
% 10.07/10.47  [3966=param(3934,2336),[-25],
% 10.07/10.47  			converse(composition(converse(sk1),converse(complement(composition(top,sk1))))) 	= zero].
% 10.07/10.47  [4101=param(1743,1121),[175,52,131,1830,-1294,619],
% 10.07/10.47  			meet(complement(X10),meet(complement(composition(sk1,X10)),X11)) 	= meet(complement(X10),X11)].
% 10.07/10.47  [4403=param(1743,3948),[175,52,131,1830,-1294,-1294,4101],
% 10.07/10.47  			meet(complement(X10),meet(complement(composition(X10,sk1)),X11)) 	= meet(complement(X10),X11)].
% 10.07/10.47  [5175=param(10,3966),[263],
% 10.07/10.47  			composition(converse(sk1),converse(complement(composition(top,sk1)))) 	= zero].
% 10.07/10.47  [7525=param(1409,2024),[1830,4403,2749,2649,130],
% 10.07/10.47  			meet(complement(sk1),composition(top,sk1)) 	= converse(composition(converse(sk1),complement(one)))].
% 10.07/10.47  [7593=param(1432,5175),[175,1830,4101],
% 10.07/10.47  			meet(complement(composition(sk1,top)),converse(complement(composition(top,sk1)))) 	= converse(complement(composition(top,sk1)))].
% 10.07/10.47  [7620=param(1441,2800),[175,-313,10,2649,7593],
% 10.07/10.47  			converse(complement(composition(top,sk1))) 	= complement(composition(sk1,top))].
% 10.07/10.47  [7633=param(10,7620),[],
% 10.07/10.47  			complement(composition(top,sk1)) 	= converse(complement(composition(sk1,top)))].
% 10.07/10.47  [7639=param(130,7633),[2649,130],
% 10.07/10.47  			composition(top,sk1) 	= converse(composition(sk1,top))].
% 10.07/10.47  [7646=demod(7525),[7639],
% 10.07/10.47  			meet(complement(sk1),converse(composition(sk1,top))) 	= converse(composition(converse(sk1),complement(one)))].
% 10.07/10.47  [8236=param(844,1997),[12,132,2535,2534,130,1997,2535],
% 10.07/10.47  			composition(sk1,composition(converse(sk1),sk1)) 	= sk1].
% 10.07/10.47  [8243=param(1191,8236),[52,1923,8236],
% 10.07/10.47  			composition(converse(sk1),sk1) 	= sk1].
% 10.07/10.47  [8255=param(8,8243),[10,8243],
% 10.07/10.47  			converse(sk1) 	= sk1].
% 10.07/10.47  [8285=demod(7646),[8255],
% 10.07/10.47  			meet(complement(sk1),converse(composition(sk1,top))) 	= converse(composition(sk1,complement(one)))].
% 10.07/10.47  [8458=param(2649,8255),[],
% 10.07/10.47  			converse(complement(sk1)) 	= complement(sk1)].
% 10.07/10.47  [8492=param(3577,8458),[],
% 10.07/10.47  			converse(meet(complement(sk1),converse(X10))) 	= meet(complement(sk1),X10)].
% 10.07/10.47  [8661=param(8492,10),[],
% 10.07/10.47  			meet(complement(sk1),converse(X10)) 	= converse(meet(complement(sk1),X10))].
% 10.07/10.47  [8662=demod(8285),[8661],
% 10.07/10.47  			converse(meet(complement(sk1),composition(sk1,top))) 	= converse(composition(sk1,complement(one)))].
% 10.07/10.47  [9010=param(10,8662),[10],
% 10.07/10.47  			meet(complement(sk1),composition(sk1,top)) 	= composition(sk1,complement(one))].
% 10.07/10.47  [9017=param(1742,9010),[2933],
% 10.07/10.47  			meet(complement(sk1),complement(composition(sk1,complement(one)))) 	= complement(composition(sk1,top))].
% 10.07/10.47  [14351=param(1076,9017),[130,1101,130,33,130,52],
% 10.07/10.47  			complement(meet(one,complement(composition(sk1,top)))) 	= complement(meet(one,complement(sk1)))].
% 10.07/10.47  [14364=param(130,14351),[130],
% 10.07/10.47  			meet(one,complement(composition(sk1,top))) 	= meet(one,complement(sk1))].
% 10.07/10.47  [14365=param(74,14364),[20],
% 10.07/10.47  			thmtrue 	= thmfalse].
% 10.07/10.47  % SZS output end CNFRefutation
% 10.07/10.47  Space:  55013 KB 
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