TSTP Solution File: REL006-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n026.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 19:23:04 EDT 2022

% Result   : Unsatisfiable 1.16s 1.62s
% Output   : CNFRefutation 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n026.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 : Fri Jul  8 10:10:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.16/1.62  Theorem Proved.
% 1.16/1.62  % SZS status Unsatisfiable
% 1.16/1.62  % SZS output start CNFRefutation
% 1.16/1.62  [1=axiom,[],
% 1.16/1.62  			meet(converse(sk1),sk2) 	= zero].
% 1.16/1.62  [2=axiom,[],
% 1.16/1.62  			meet(X10,complement(X10)) 	= zero].
% 1.16/1.62  [3=axiom,[],
% 1.16/1.62  			join(X10,complement(X10)) 	= top].
% 1.16/1.62  [4=axiom,[],
% 1.16/1.62  			join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) 	= complement(X11)].
% 1.16/1.62  [5=axiom,[],
% 1.16/1.62  			converse(composition(X10,X11)) 	= composition(converse(X11),converse(X10))].
% 1.16/1.62  [6=axiom,[],
% 1.16/1.62  			join(converse(X10),converse(X11)) 	= converse(join(X10,X11))].
% 1.16/1.62  [7=axiom,[],
% 1.16/1.62  			converse(converse(X10)) 	= X10].
% 1.16/1.62  [8=axiom,[],
% 1.16/1.62  			join(composition(X10,X12),composition(X11,X12)) 	= composition(join(X10,X11),X12)].
% 1.16/1.62  [9=axiom,[],
% 1.16/1.62  			composition(X10,one) 	= X10].
% 1.16/1.62  [11=axiom,[],
% 1.16/1.62  			complement(join(complement(X10),complement(X11))) 	= meet(X10,X11)].
% 1.16/1.62  [12=axiom,[11],
% 1.16/1.62  			join(meet(X10,X11),complement(join(complement(X10),X11))) 	= X10].
% 1.16/1.62  [13=axiom,[],
% 1.16/1.62  			join(join(X10,X11),X12) 	= join(X10,join(X11,X12))].
% 1.16/1.62  [14=axiom,[],
% 1.16/1.62  			join(X10,X11) 	= join(X11,X10)].
% 1.16/1.62  [15=demod(4),[14],
% 1.16/1.62  			join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) 	= complement(X10)].
% 1.16/1.62  [16=axiom,[],
% 1.16/1.62  			thtop(X10,X10) 	= thmfalse].
% 1.16/1.62  [17=axiom,[],
% 1.16/1.62  			thtop(meet(sk1,converse(sk2)),zero) 	= thmtrue].
% 1.16/1.62  [20=param(5,9),[],
% 1.16/1.62  			composition(converse(one),converse(X10)) 	= converse(X10)].
% 1.16/1.62  [24=param(20,7),[7],
% 1.16/1.62  			composition(converse(one),X10) 	= X10].
% 1.16/1.62  [25=param(24,9),[],
% 1.16/1.62  			converse(one) 	= one].
% 1.16/1.62  [26=demod(24),[25],
% 1.16/1.62  			composition(one,X10) 	= X10].
% 1.16/1.62  [30=param(6,7),[],
% 1.16/1.62  			join(converse(X10),X11) 	= converse(join(X10,converse(X11)))].
% 1.16/1.62  [33=param(8,26),[],
% 1.16/1.62  			join(X10,composition(X11,X10)) 	= composition(join(one,X11),X10)].
% 1.16/1.62  [35=param(30,3),[],
% 1.16/1.62  			converse(join(X10,converse(complement(converse(X10))))) 	= top].
% 1.16/1.62  [37=param(30,14),[],
% 1.16/1.62  			converse(join(X10,converse(X11))) 	= join(X11,converse(X10))].
% 1.16/1.62  [38=param(30,25),[],
% 1.16/1.62  			converse(join(one,converse(X10))) 	= join(one,X10)].
% 1.16/1.62  [42=param(38,7),[],
% 1.16/1.62  			join(one,converse(X10)) 	= converse(join(one,X10))].
% 1.16/1.62  [46=param(42,25),[],
% 1.16/1.62  			converse(join(one,one)) 	= join(one,one)].
% 1.16/1.62  [48=param(5,46),[],
% 1.16/1.62  			composition(converse(X10),join(one,one)) 	= converse(composition(join(one,one),X10))].
% 1.16/1.62  [51=param(11,3),[2],
% 1.16/1.62  			complement(top) 	= zero].
% 1.16/1.62  [55=param(11,14),[11],
% 1.16/1.62  			meet(X10,X11) 	= meet(X11,X10)].
% 1.16/1.62  [56=demod(1),[55],
% 1.16/1.62  			meet(sk2,converse(sk1)) 	= zero].
% 1.16/1.62  [58=param(2,51),[55],
% 1.16/1.62  			meet(zero,top) 	= zero].
% 1.16/1.62  [60=param(11,51),[],
% 1.16/1.62  			complement(join(zero,complement(X10))) 	= meet(top,X10)].
% 1.16/1.62  [61=param(12,2),[11],
% 1.16/1.62  			join(zero,meet(X10,X10)) 	= X10].
% 1.16/1.62  [66=param(12,58),[14],
% 1.16/1.62  			join(zero,complement(join(top,complement(zero)))) 	= zero].
% 1.16/1.62  [67=param(12,56),[14,30],
% 1.16/1.62  			join(zero,complement(converse(join(sk1,converse(complement(sk2)))))) 	= sk2].
% 1.16/1.62  [69=param(13,3),[],
% 1.16/1.62  			join(X11,join(complement(X11),X10)) 	= join(top,X10)].
% 1.16/1.62  [70=param(13,12),[],
% 1.16/1.62  			join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) 	= join(X10,X11)].
% 1.16/1.62  [80=param(15,25),[26,26],
% 1.16/1.62  			join(complement(X10),complement(X10)) 	= complement(X10)].
% 1.16/1.62  [83=param(11,80),[],
% 1.16/1.62  			meet(X10,X10) 	= complement(complement(X10))].
% 1.16/1.62  [85=demod(61),[83],
% 1.16/1.62  			join(zero,complement(complement(X10))) 	= X10].
% 1.16/1.62  [86=param(13,80),[],
% 1.16/1.62  			join(complement(X10),join(complement(X10),X11)) 	= join(complement(X10),X11)].
% 1.16/1.62  [87=param(80,51),[51,51],
% 1.16/1.62  			join(zero,zero) 	= zero].
% 1.16/1.62  [88=param(13,87),[],
% 1.16/1.62  			join(zero,join(zero,X10)) 	= join(zero,X10)].
% 1.16/1.62  [93=param(85,11),[],
% 1.16/1.62  			join(complement(X10),complement(X11)) 	= join(zero,complement(meet(X10,X11)))].
% 1.16/1.62  [113=param(88,85),[85],
% 1.16/1.62  			join(zero,X10) 	= X10].
% 1.16/1.62  [114=demod(60),[113],
% 1.16/1.62  			meet(top,X10) 	= complement(complement(X10))].
% 1.16/1.62  [118=demod(66),[113],
% 1.16/1.62  			complement(join(top,complement(zero))) 	= zero].
% 1.16/1.62  [119=demod(67),[113],
% 1.16/1.62  			complement(converse(join(sk1,converse(complement(sk2))))) 	= sk2].
% 1.16/1.62  [120=demod(85),[113],
% 1.16/1.62  			complement(complement(X10)) 	= X10].
% 1.16/1.62  [121=demod(114),[120],
% 1.16/1.62  			meet(top,X10) 	= X10].
% 1.16/1.62  [122=demod(83),[120],
% 1.16/1.62  			meet(X10,X10) 	= X10].
% 1.16/1.62  [125=demod(93),[113],
% 1.16/1.62  			join(complement(X10),complement(X11)) 	= complement(meet(X10,X11))].
% 1.16/1.62  [144=param(120,51),[],
% 1.16/1.62  			complement(zero) 	= top].
% 1.16/1.62  [145=demod(118),[144],
% 1.16/1.62  			complement(join(top,top)) 	= zero].
% 1.16/1.62  [157=param(3,145),[13,14,113],
% 1.16/1.62  			join(top,top) 	= top].
% 1.16/1.62  [160=param(13,33),[],
% 1.16/1.62  			join(composition(join(one,X10),X11),X12) 	= join(X11,join(composition(X10,X11),X12))].
% 1.16/1.62  [176=param(13,157),[],
% 1.16/1.62  			join(top,join(top,X10)) 	= join(top,X10)].
% 1.16/1.62  [207=param(7,35),[],
% 1.16/1.62  			join(X10,converse(complement(converse(X10)))) 	= converse(top)].
% 1.16/1.62  [267=param(12,207),[14],
% 1.16/1.62  			join(complement(converse(top)),meet(X10,converse(complement(converse(complement(X10)))))) 	= X10].
% 1.16/1.62  [276=param(176,207),[207],
% 1.16/1.62  			join(top,converse(top)) 	= converse(top)].
% 1.16/1.62  [278=param(37,276),[7,276],
% 1.16/1.62  			converse(top) 	= top].
% 1.16/1.62  [285=demod(267),[278,51,113],
% 1.16/1.62  			meet(X10,converse(complement(converse(complement(X10))))) 	= X10].
% 1.16/1.62  [288=demod(207),[278],
% 1.16/1.62  			join(X10,converse(complement(converse(X10)))) 	= top].
% 1.16/1.62  [325=param(288,48),[160,26],
% 1.16/1.62  			join(X10,join(X10,converse(complement(composition(converse(X10),join(one,one)))))) 	= top].
% 1.16/1.62  [326=param(13,125),[],
% 1.16/1.62  			join(complement(meet(X10,X11)),X12) 	= join(complement(X10),join(complement(X11),X12))].
% 1.16/1.62  [329=param(125,120),[],
% 1.16/1.62  			join(X10,complement(X11)) 	= complement(meet(complement(X10),X11))].
% 1.16/1.62  [330=demod(12),[329],
% 1.16/1.62  			complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) 	= X10].
% 1.16/1.62  [340=param(329,14),[],
% 1.16/1.62  			join(complement(X11),X10) 	= complement(meet(complement(X10),X11))].
% 1.16/1.62  [342=demod(330),[340],
% 1.16/1.62  			complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) 	= X10].
% 1.16/1.62  [350=demod(70),[340,120],
% 1.16/1.62  			join(meet(X10,X11),join(meet(complement(X11),X10),X12)) 	= join(X10,X12)].
% 1.16/1.62  [351=demod(326),[340,340,329,120],
% 1.16/1.62  			complement(meet(complement(X10),meet(X11,X12))) 	= complement(meet(X11,meet(complement(X10),X12)))].
% 1.16/1.62  [352=demod(86),[340,329,120,340],
% 1.16/1.62  			complement(meet(X10,meet(complement(X11),X10))) 	= complement(meet(complement(X11),X10))].
% 1.16/1.62  [355=demod(69),[340,329],
% 1.16/1.62  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= join(top,X11)].
% 1.16/1.62  [356=param(329,30),[],
% 1.16/1.62  			converse(join(X10,converse(complement(X11)))) 	= complement(meet(complement(converse(X10)),X11))].
% 1.16/1.62  [357=demod(119),[356,55,120],
% 1.16/1.62  			meet(sk2,complement(converse(sk1))) 	= sk2].
% 1.16/1.62  [359=param(329,120),[],
% 1.16/1.62  			join(X10,X11) 	= complement(meet(complement(X10),complement(X11)))].
% 1.16/1.62  [366=demod(288),[359],
% 1.16/1.62  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= top].
% 1.16/1.62  [372=demod(37),[359,359],
% 1.16/1.62  			converse(complement(meet(complement(X10),complement(converse(X11))))) 	= complement(meet(complement(X11),complement(converse(X10))))].
% 1.16/1.62  [382=demod(355),[359,51],
% 1.16/1.62  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= complement(meet(zero,complement(X11)))].
% 1.16/1.62  [449=demod(350),[359,359,120,359],
% 1.16/1.62  			complement(meet(complement(meet(X10,X11)),meet(complement(meet(complement(X11),X10)),complement(X12)))) 	= complement(meet(complement(X10),complement(X12)))].
% 1.16/1.62  [471=demod(325),[359,122,120,9,359,366,359,51,55],
% 1.16/1.62  			complement(meet(zero,complement(X10))) 	= top].
% 1.16/1.62  [473=demod(382),[471],
% 1.16/1.62  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= top].
% 1.16/1.62  [555=param(2,473),[55,121],
% 1.16/1.62  			meet(complement(X10),meet(complement(X11),X10)) 	= zero].
% 1.16/1.62  [558=param(555,120),[],
% 1.16/1.62  			meet(complement(X10),meet(X11,X10)) 	= zero].
% 1.16/1.62  [641=param(342,55),[],
% 1.16/1.62  			complement(meet(complement(meet(complement(X10),X11)),complement(meet(X11,X10)))) 	= X11].
% 1.16/1.62  [709=param(120,351),[120],
% 1.16/1.62  			meet(X10,meet(complement(X11),X12)) 	= meet(complement(X11),meet(X10,X12))].
% 1.16/1.62  [739=param(352,120),[120],
% 1.16/1.62  			complement(meet(X10,meet(X11,X10))) 	= complement(meet(X11,X10))].
% 1.16/1.62  [754=param(120,739),[120],
% 1.16/1.62  			meet(X11,meet(X10,X11)) 	= meet(X10,X11)].
% 1.16/1.62  [1142=param(449,754),[641],
% 1.16/1.62  			complement(meet(complement(X10),complement(meet(X10,X11)))) 	= X10].
% 1.16/1.62  [1146=param(120,1142),[],
% 1.16/1.62  			meet(complement(X10),complement(meet(X10,X11))) 	= complement(X10)].
% 1.16/1.62  [1147=param(1146,55),[],
% 1.16/1.62  			meet(complement(X10),complement(meet(X11,X10))) 	= complement(X10)].
% 1.16/1.62  [1149=param(1146,351),[120,120],
% 1.16/1.62  			meet(X10,complement(meet(X11,meet(complement(X10),X12)))) 	= X10].
% 1.16/1.62  [1299=param(1149,55),[],
% 1.16/1.62  			meet(X10,complement(meet(X11,meet(X12,complement(X10))))) 	= X10].
% 1.16/1.62  [1327=param(1299,357),[],
% 1.16/1.63  			meet(converse(sk1),complement(meet(X10,sk2))) 	= converse(sk1)].
% 1.16/1.63  [1364=param(1327,55),[],
% 1.16/1.63  			meet(converse(sk1),complement(meet(sk2,X10))) 	= converse(sk1)].
% 1.16/1.63  [1377=param(1147,1364),[120,55,-709,120],
% 1.16/1.63  			meet(sk2,meet(complement(converse(sk1)),X10)) 	= meet(sk2,X10)].
% 1.16/1.63  [1389=param(1377,285),[357,120,7],
% 1.16/1.63  			meet(sk2,converse(complement(sk1))) 	= sk2].
% 1.16/1.63  [1404=param(1147,1389),[55],
% 1.16/1.63  			meet(complement(sk2),complement(converse(complement(sk1)))) 	= complement(converse(complement(sk1)))].
% 1.16/1.63  [1453=param(372,1404),[120,7,120],
% 1.16/1.63  			complement(meet(sk1,complement(converse(sk2)))) 	= complement(sk1)].
% 1.16/1.63  [1455=param(120,1453),[120],
% 1.16/1.63  			meet(sk1,complement(converse(sk2))) 	= sk1].
% 1.16/1.63  [1459=param(558,1455),[120,55],
% 1.16/1.63  			meet(sk1,converse(sk2)) 	= zero].
% 1.16/1.63  [1467=param(17,1459),[16],
% 1.16/1.63  			thmtrue 	= thmfalse].
% 1.16/1.63  % SZS output end CNFRefutation
% 1.16/1.63  Space:   3400 KB 
%------------------------------------------------------------------------------