TSTP Solution File: REL005-3 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:23:03 EDT 2022

% Result   : Unsatisfiable 1.70s 2.05s
% Output   : CNFRefutation 1.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : fiesta-wrapper %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jul  8 07:01:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.70/2.05  Theorem Proved.
% 1.70/2.05  % SZS status Unsatisfiable
% 1.70/2.05  % SZS output start CNFRefutation
% 1.70/2.05  [4=axiom,[],
% 1.70/2.05  			meet(X10,complement(X10)) 	= zero].
% 1.70/2.05  [5=axiom,[],
% 1.70/2.05  			join(X10,complement(X10)) 	= top].
% 1.70/2.05  [6=axiom,[],
% 1.70/2.05  			join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) 	= complement(X11)].
% 1.70/2.05  [7=axiom,[],
% 1.70/2.05  			converse(composition(X10,X11)) 	= composition(converse(X11),converse(X10))].
% 1.70/2.05  [8=axiom,[],
% 1.70/2.05  			join(converse(X10),converse(X11)) 	= converse(join(X10,X11))].
% 1.70/2.05  [9=axiom,[],
% 1.70/2.05  			converse(converse(X10)) 	= X10].
% 1.70/2.05  [10=axiom,[],
% 1.70/2.05  			join(composition(X10,X12),composition(X11,X12)) 	= composition(join(X10,X11),X12)].
% 1.70/2.05  [11=axiom,[],
% 1.70/2.05  			composition(X10,one) 	= X10].
% 1.70/2.05  [13=axiom,[],
% 1.70/2.05  			complement(join(complement(X10),complement(X11))) 	= meet(X10,X11)].
% 1.70/2.05  [14=axiom,[13],
% 1.70/2.05  			join(meet(X10,X11),complement(join(complement(X10),X11))) 	= X10].
% 1.70/2.05  [15=axiom,[],
% 1.70/2.05  			join(join(X10,X11),X12) 	= join(X10,join(X11,X12))].
% 1.70/2.05  [16=axiom,[],
% 1.70/2.05  			join(X10,X11) 	= join(X11,X10)].
% 1.70/2.05  [18=demod(6),[16],
% 1.70/2.05  			join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) 	= complement(X10)].
% 1.70/2.05  [19=axiom,[],
% 1.70/2.05  			thtop(X10,X10) 	= thmfalse].
% 1.70/2.05  [20=axiom,[],
% 1.70/2.05  			thtop(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))) 	= thmtrue].
% 1.70/2.05  [22=param(8,9),[],
% 1.70/2.05  			join(converse(X10),X11) 	= converse(join(X10,converse(X11)))].
% 1.70/2.05  [23=param(22,5),[],
% 1.70/2.05  			converse(join(X10,converse(complement(converse(X10))))) 	= top].
% 1.70/2.05  [28=param(7,11),[],
% 1.70/2.05  			composition(converse(one),converse(X10)) 	= converse(X10)].
% 1.70/2.05  [33=param(28,9),[9],
% 1.70/2.05  			composition(converse(one),X10) 	= X10].
% 1.70/2.05  [34=param(33,11),[],
% 1.70/2.05  			converse(one) 	= one].
% 1.70/2.05  [35=demod(33),[34],
% 1.70/2.05  			composition(one,X10) 	= X10].
% 1.70/2.05  [38=param(10,35),[],
% 1.70/2.05  			join(X10,composition(X11,X10)) 	= composition(join(one,X11),X10)].
% 1.70/2.05  [50=param(13,5),[4],
% 1.70/2.05  			complement(top) 	= zero].
% 1.70/2.05  [54=param(13,16),[13],
% 1.70/2.05  			meet(X10,X11) 	= meet(X11,X10)].
% 1.70/2.05  [58=param(4,50),[54],
% 1.70/2.05  			meet(zero,top) 	= zero].
% 1.70/2.05  [60=param(13,50),[],
% 1.70/2.05  			complement(join(zero,complement(X10))) 	= meet(top,X10)].
% 1.70/2.05  [61=param(14,4),[13],
% 1.70/2.05  			join(zero,meet(X10,X10)) 	= X10].
% 1.70/2.05  [62=param(14,5),[50,16],
% 1.70/2.05  			join(zero,meet(X10,complement(complement(X10)))) 	= X10].
% 1.70/2.05  [66=param(14,58),[16],
% 1.70/2.05  			join(zero,complement(join(top,complement(zero)))) 	= zero].
% 1.70/2.05  [93=param(18,34),[35,35],
% 1.70/2.05  			join(complement(X10),complement(X10)) 	= complement(X10)].
% 1.70/2.05  [94=param(18,50),[50],
% 1.70/2.05  			join(zero,composition(converse(X10),complement(composition(X10,top)))) 	= zero].
% 1.70/2.05  [96=param(13,93),[],
% 1.70/2.05  			meet(X10,X10) 	= complement(complement(X10))].
% 1.70/2.05  [98=demod(61),[96],
% 1.70/2.05  			join(zero,complement(complement(X10))) 	= X10].
% 1.70/2.05  [101=param(15,93),[],
% 1.70/2.05  			join(complement(X10),join(complement(X10),X11)) 	= join(complement(X10),X11)].
% 1.70/2.05  [102=param(93,50),[50,50],
% 1.70/2.05  			join(zero,zero) 	= zero].
% 1.70/2.05  [103=param(15,102),[],
% 1.70/2.05  			join(zero,join(zero,X10)) 	= join(zero,X10)].
% 1.70/2.05  [106=param(9,23),[],
% 1.70/2.05  			join(X10,converse(complement(converse(X10)))) 	= converse(top)].
% 1.70/2.05  [107=param(98,13),[],
% 1.70/2.05  			join(complement(X10),complement(X11)) 	= join(zero,complement(meet(X10,X11)))].
% 1.70/2.05  [149=param(103,16),[15],
% 1.70/2.05  			join(zero,join(X10,zero)) 	= join(zero,X10)].
% 1.70/2.05  [151=param(103,98),[98],
% 1.70/2.05  			join(zero,X10) 	= X10].
% 1.70/2.05  [152=demod(62),[151],
% 1.70/2.05  			meet(X10,complement(complement(X10))) 	= X10].
% 1.70/2.05  [157=demod(60),[151],
% 1.70/2.05  			meet(top,X10) 	= complement(complement(X10))].
% 1.70/2.05  [160=demod(66),[151],
% 1.70/2.05  			complement(join(top,complement(zero))) 	= zero].
% 1.70/2.05  [161=demod(98),[151],
% 1.70/2.05  			complement(complement(X10)) 	= X10].
% 1.70/2.05  [162=demod(157),[161],
% 1.70/2.05  			meet(top,X10) 	= X10].
% 1.70/2.05  [163=demod(152),[161],
% 1.70/2.05  			meet(X10,X10) 	= X10].
% 1.70/2.05  [166=demod(107),[151],
% 1.70/2.05  			join(complement(X10),complement(X11)) 	= complement(meet(X10,X11))].
% 1.70/2.05  [168=demod(94),[151],
% 1.70/2.05  			composition(converse(X10),complement(composition(X10,top))) 	= zero].
% 1.70/2.05  [170=demod(149),[151,151],
% 1.70/2.05  			join(X10,zero) 	= X10].
% 1.70/2.05  [171=param(14,170),[161,16],
% 1.70/2.05  			join(X10,meet(X10,zero)) 	= X10].
% 1.70/2.05  [190=param(161,50),[],
% 1.70/2.05  			complement(zero) 	= top].
% 1.70/2.05  [191=demod(160),[190],
% 1.70/2.05  			complement(join(top,top)) 	= zero].
% 1.70/2.05  [237=param(5,191),[15,16,151],
% 1.70/2.05  			join(top,top) 	= top].
% 1.70/2.05  [238=param(15,237),[],
% 1.70/2.05  			join(top,join(top,X10)) 	= join(top,X10)].
% 1.70/2.05  [272=param(171,54),[],
% 1.70/2.05  			join(X10,meet(zero,X10)) 	= X10].
% 1.70/2.05  [294=param(166,161),[],
% 1.70/2.05  			join(X10,complement(X11)) 	= complement(meet(complement(X10),X11))].
% 1.70/2.05  [295=demod(14),[294],
% 1.70/2.05  			complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) 	= X10].
% 1.70/2.05  [313=param(294,16),[],
% 1.70/2.05  			join(complement(X11),X10) 	= complement(meet(complement(X10),X11))].
% 1.70/2.05  [314=demod(295),[313],
% 1.70/2.05  			complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) 	= X10].
% 1.70/2.05  [324=demod(101),[313,294,161,313],
% 1.70/2.05  			complement(meet(X10,meet(complement(X11),X10))) 	= complement(meet(complement(X11),X10))].
% 1.70/2.05  [328=param(294,22),[],
% 1.70/2.05  			converse(join(X10,converse(complement(X11)))) 	= complement(meet(complement(converse(X10)),X11))].
% 1.70/2.05  [331=param(294,161),[],
% 1.70/2.05  			join(X10,X11) 	= complement(meet(complement(X10),complement(X11)))].
% 1.70/2.05  [341=demod(272),[331],
% 1.70/2.05  			complement(meet(complement(X10),complement(meet(zero,X10)))) 	= X10].
% 1.70/2.05  [347=demod(38),[331,331],
% 1.70/2.05  			complement(meet(complement(X10),complement(composition(X11,X10)))) 	= composition(complement(meet(complement(one),complement(X11))),X10)].
% 1.70/2.05  [371=demod(106),[331],
% 1.70/2.05  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= converse(top)].
% 1.70/2.05  [372=demod(328),[331],
% 1.70/2.05  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.70/2.05  [452=demod(238),[331,50,331,50,161,331,50],
% 1.70/2.05  			complement(meet(zero,meet(zero,complement(X10)))) 	= complement(meet(zero,complement(X10)))].
% 1.70/2.05  [460=param(168,9),[],
% 1.70/2.05  			composition(X10,complement(composition(converse(X10),top))) 	= zero].
% 1.70/2.05  [508=param(161,341),[],
% 1.70/2.05  			meet(complement(X10),complement(meet(zero,X10))) 	= complement(X10)].
% 1.70/2.05  [526=param(452,161),[161],
% 1.70/2.05  			complement(meet(zero,meet(zero,X10))) 	= complement(meet(zero,X10))].
% 1.70/2.05  [529=param(161,526),[161],
% 1.70/2.05  			meet(zero,meet(zero,X10)) 	= meet(zero,X10)].
% 1.70/2.05  [530=param(529,54),[],
% 1.70/2.05  			meet(zero,meet(X10,zero)) 	= meet(zero,X10)].
% 1.70/2.05  [532=param(508,530),[],
% 1.70/2.05  			meet(complement(meet(X10,zero)),complement(meet(zero,X10))) 	= complement(meet(X10,zero))].
% 1.70/2.05  [533=param(324,4),[161,161,54,4,190],
% 1.70/2.05  			complement(meet(X10,zero)) 	= top].
% 1.70/2.05  [534=demod(532),[533,162,533],
% 1.70/2.05  			complement(meet(zero,X10)) 	= top].
% 1.70/2.05  [542=param(4,534),[54,162],
% 1.70/2.05  			meet(zero,X10) 	= zero].
% 1.70/2.05  [547=param(161,314),[],
% 1.70/2.05  			meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10))) 	= complement(X10)].
% 1.70/2.05  [709=param(347,50),[54,542,190],
% 1.70/2.05  			complement(meet(complement(X10),complement(composition(top,X10)))) 	= composition(top,X10)].
% 1.70/2.05  [762=param(161,709),[],
% 1.70/2.05  			meet(complement(X10),complement(composition(top,X10))) 	= complement(composition(top,X10))].
% 1.70/2.05  [772=param(762,460),[161,190,54,162,460,190],
% 1.70/2.05  			composition(converse(top),top) 	= top].
% 1.70/2.05  [778=param(7,772),[9,772],
% 1.70/2.05  			converse(top) 	= top].
% 1.70/2.05  [788=demod(371),[778],
% 1.70/2.05  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= top].
% 1.70/2.05  [901=param(4,788),[54,162],
% 1.70/2.05  			meet(complement(X10),complement(converse(complement(converse(X10))))) 	= zero].
% 1.70/2.05  [903=param(901,9),[],
% 1.70/2.05  			meet(complement(converse(X10)),complement(converse(complement(X10)))) 	= zero].
% 1.70/2.05  [1392=param(547,901),[190,161,54,162,161],
% 1.70/2.05  			complement(meet(complement(X10),converse(complement(converse(X10))))) 	= X10].
% 1.70/2.05  [1393=param(547,901),[54,190,54,162,161],
% 1.70/2.05  			complement(meet(X10,complement(converse(complement(converse(X10)))))) 	= converse(complement(converse(X10)))].
% 1.70/2.05  [1395=param(547,903),[54,190,54,162,161],
% 1.70/2.05  			complement(meet(converse(X10),complement(converse(complement(X10))))) 	= converse(complement(X10))].
% 1.70/2.05  [1489=param(161,1392),[],
% 1.70/2.05  			meet(complement(X10),converse(complement(converse(X10)))) 	= complement(X10)].
% 1.70/2.05  [1492=param(372,1489),[161,9,1393,9],
% 1.70/2.05  			complement(converse(complement(X10))) 	= converse(X10)].
% 1.70/2.05  [1493=demod(372),[1492],
% 1.70/2.05  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),converse(X11))))].
% 1.70/2.05  [1549=demod(1395),[1492,163],
% 1.70/2.05  			complement(converse(X10)) 	= converse(complement(X10))].
% 1.70/2.05  [1554=demod(1493),[1549],
% 1.70/2.05  			complement(meet(converse(complement(X10)),X11)) 	= converse(complement(meet(complement(X10),converse(X11))))].
% 1.70/2.05  [2648=param(1554,161),[161],
% 1.70/2.05  			complement(meet(converse(X10),X11)) 	= converse(complement(meet(X10,converse(X11))))].
% 1.70/2.05  [2665=param(161,2648),[1549,161],
% 1.70/2.05  			meet(converse(X10),X11) 	= converse(meet(X10,converse(X11)))].
% 1.70/2.05  [2746=param(20,2665),[54,9,54,19],
% 1.70/2.05  			thmtrue 	= thmfalse].
% 1.70/2.05  % SZS output end CNFRefutation
% 1.70/2.05  Space:   7031 KB 
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