TSTP Solution File: REL018-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : REL018-1 : 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 19:23:19 EDT 2022

% Result   : Unsatisfiable 1.45s 1.82s
% Output   : CNFRefutation 1.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : REL018-1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : fiesta-wrapper %s
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Fri Jul  8 15:58:36 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 1.45/1.82  Theorem Proved.
% 1.45/1.82  % SZS status Unsatisfiable
% 1.45/1.82  % SZS output start CNFRefutation
% 1.45/1.82  [1=axiom,[],
% 1.45/1.82  			composition(sk1,top) 	= sk1].
% 1.45/1.82  [2=axiom,[],
% 1.45/1.82  			meet(X10,complement(X10)) 	= zero].
% 1.45/1.82  [3=axiom,[],
% 1.45/1.82  			join(X10,complement(X10)) 	= top].
% 1.45/1.82  [4=axiom,[],
% 1.45/1.82  			join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) 	= complement(X11)].
% 1.45/1.82  [5=axiom,[],
% 1.45/1.82  			converse(composition(X10,X11)) 	= composition(converse(X11),converse(X10))].
% 1.45/1.82  [6=axiom,[],
% 1.45/1.82  			join(converse(X10),converse(X11)) 	= converse(join(X10,X11))].
% 1.45/1.82  [7=axiom,[],
% 1.45/1.82  			converse(converse(X10)) 	= X10].
% 1.45/1.82  [8=axiom,[],
% 1.45/1.82  			join(composition(X10,X12),composition(X11,X12)) 	= composition(join(X10,X11),X12)].
% 1.45/1.82  [9=axiom,[],
% 1.45/1.82  			composition(X10,one) 	= X10].
% 1.45/1.82  [11=axiom,[],
% 1.45/1.82  			complement(join(complement(X10),complement(X11))) 	= meet(X10,X11)].
% 1.45/1.82  [12=axiom,[11],
% 1.45/1.82  			join(meet(X10,X11),complement(join(complement(X10),X11))) 	= X10].
% 1.45/1.82  [13=axiom,[],
% 1.45/1.82  			join(join(X10,X11),X12) 	= join(X10,join(X11,X12))].
% 1.45/1.82  [14=axiom,[],
% 1.45/1.82  			join(X10,X11) 	= join(X11,X10)].
% 1.45/1.82  [15=demod(4),[14],
% 1.45/1.82  			join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) 	= complement(X10)].
% 1.45/1.82  [16=axiom,[],
% 1.45/1.82  			thtop(X10,X10) 	= thmfalse].
% 1.45/1.82  [17=axiom,[],
% 1.45/1.82  			thtop(composition(complement(sk1),top),complement(sk1)) 	= thmtrue].
% 1.45/1.82  [19=param(7,5),[],
% 1.45/1.82  			converse(composition(converse(X10),converse(X11))) 	= composition(X11,X10)].
% 1.45/1.82  [20=param(5,9),[],
% 1.45/1.82  			composition(converse(one),converse(X10)) 	= converse(X10)].
% 1.45/1.82  [22=param(5,7),[],
% 1.45/1.82  			composition(converse(X10),X11) 	= converse(composition(converse(X11),X10))].
% 1.45/1.82  [24=param(20,7),[7],
% 1.45/1.82  			composition(converse(one),X10) 	= X10].
% 1.45/1.82  [25=param(24,9),[],
% 1.45/1.82  			converse(one) 	= one].
% 1.45/1.82  [26=demod(24),[25],
% 1.45/1.82  			composition(one,X10) 	= X10].
% 1.45/1.82  [30=param(6,7),[],
% 1.45/1.82  			join(converse(X10),X11) 	= converse(join(X10,converse(X11)))].
% 1.45/1.82  [34=param(8,26),[],
% 1.45/1.82  			join(X10,composition(X11,X10)) 	= composition(join(one,X11),X10)].
% 1.45/1.82  [36=param(30,3),[],
% 1.45/1.82  			converse(join(X10,converse(complement(converse(X10))))) 	= top].
% 1.45/1.82  [38=param(30,14),[],
% 1.45/1.82  			converse(join(X10,converse(X11))) 	= join(X11,converse(X10))].
% 1.45/1.82  [39=param(30,25),[],
% 1.45/1.82  			converse(join(one,converse(X10))) 	= join(one,X10)].
% 1.45/1.82  [43=param(39,7),[],
% 1.45/1.82  			join(one,converse(X10)) 	= converse(join(one,X10))].
% 1.45/1.82  [48=param(43,25),[],
% 1.45/1.82  			converse(join(one,one)) 	= join(one,one)].
% 1.45/1.82  [50=param(5,48),[],
% 1.45/1.82  			composition(converse(X10),join(one,one)) 	= converse(composition(join(one,one),X10))].
% 1.45/1.82  [53=param(11,3),[2],
% 1.45/1.82  			complement(top) 	= zero].
% 1.45/1.82  [57=param(11,14),[11],
% 1.45/1.82  			meet(X10,X11) 	= meet(X11,X10)].
% 1.45/1.82  [59=param(2,53),[57],
% 1.45/1.82  			meet(zero,top) 	= zero].
% 1.45/1.82  [61=param(11,53),[],
% 1.45/1.82  			complement(join(zero,complement(X10))) 	= meet(top,X10)].
% 1.45/1.82  [62=param(12,2),[11],
% 1.45/1.82  			join(zero,meet(X10,X10)) 	= X10].
% 1.45/1.82  [67=param(12,59),[14],
% 1.45/1.82  			join(zero,complement(join(top,complement(zero)))) 	= zero].
% 1.45/1.82  [69=param(13,3),[],
% 1.45/1.82  			join(X11,join(complement(X11),X10)) 	= join(top,X10)].
% 1.45/1.82  [78=param(15,5),[7],
% 1.45/1.82  			join(complement(converse(X10)),composition(X11,complement(converse(composition(X10,X11))))) 	= complement(converse(X10))].
% 1.45/1.82  [82=param(15,25),[26,26],
% 1.45/1.82  			join(complement(X10),complement(X10)) 	= complement(X10)].
% 1.45/1.82  [85=param(11,82),[],
% 1.45/1.82  			meet(X10,X10) 	= complement(complement(X10))].
% 1.45/1.82  [87=demod(62),[85],
% 1.45/1.82  			join(zero,complement(complement(X10))) 	= X10].
% 1.45/1.82  [89=param(82,53),[53,53],
% 1.45/1.82  			join(zero,zero) 	= zero].
% 1.45/1.82  [90=param(13,89),[],
% 1.45/1.82  			join(zero,join(zero,X10)) 	= join(zero,X10)].
% 1.45/1.82  [95=param(87,11),[],
% 1.45/1.82  			join(complement(X10),complement(X11)) 	= join(zero,complement(meet(X10,X11)))].
% 1.45/1.82  [106=param(17,19),[],
% 1.45/1.82  			thtop(converse(composition(converse(top),converse(complement(sk1)))),complement(sk1)) 	= thmtrue].
% 1.45/1.82  [111=param(90,87),[87],
% 1.45/1.82  			join(zero,X10) 	= X10].
% 1.45/1.82  [112=demod(61),[111],
% 1.45/1.82  			meet(top,X10) 	= complement(complement(X10))].
% 1.45/1.82  [116=demod(67),[111],
% 1.45/1.82  			complement(join(top,complement(zero))) 	= zero].
% 1.45/1.82  [117=demod(87),[111],
% 1.45/1.82  			complement(complement(X10)) 	= X10].
% 1.45/1.82  [118=demod(112),[117],
% 1.45/1.82  			meet(top,X10) 	= X10].
% 1.45/1.82  [119=demod(85),[117],
% 1.45/1.82  			meet(X10,X10) 	= X10].
% 1.45/1.82  [122=demod(95),[111],
% 1.45/1.82  			join(complement(X10),complement(X11)) 	= complement(meet(X10,X11))].
% 1.45/1.82  [145=param(117,53),[],
% 1.45/1.82  			complement(zero) 	= top].
% 1.45/1.82  [146=demod(116),[145],
% 1.45/1.82  			complement(join(top,top)) 	= zero].
% 1.45/1.82  [147=param(12,145),[],
% 1.45/1.82  			join(meet(zero,X10),complement(join(top,X10))) 	= zero].
% 1.45/1.82  [152=param(3,146),[13,14,111],
% 1.45/1.82  			join(top,top) 	= top].
% 1.45/1.82  [155=param(13,152),[],
% 1.45/1.82  			join(top,join(top,X10)) 	= join(top,X10)].
% 1.45/1.82  [176=param(13,34),[],
% 1.45/1.82  			join(composition(join(one,X10),X11),X12) 	= join(X11,join(composition(X10,X11),X12))].
% 1.45/1.82  [179=param(34,22),[43],
% 1.45/1.82  			join(X10,converse(composition(converse(X10),X11))) 	= composition(converse(join(one,X11)),X10)].
% 1.45/1.82  [222=param(7,36),[],
% 1.45/1.82  			join(X10,converse(complement(converse(X10)))) 	= converse(top)].
% 1.45/1.82  [291=param(12,222),[14],
% 1.45/1.82  			join(complement(converse(top)),meet(X10,converse(complement(converse(complement(X10)))))) 	= X10].
% 1.45/1.82  [300=param(155,222),[222],
% 1.45/1.82  			join(top,converse(top)) 	= converse(top)].
% 1.45/1.82  [306=param(38,300),[7,300],
% 1.45/1.82  			converse(top) 	= top].
% 1.45/1.82  [314=demod(291),[306,53,111],
% 1.45/1.82  			meet(X10,converse(complement(converse(complement(X10))))) 	= X10].
% 1.45/1.82  [321=demod(222),[306],
% 1.45/1.82  			join(X10,converse(complement(converse(X10)))) 	= top].
% 1.45/1.82  [325=param(5,306),[],
% 1.45/1.82  			composition(top,converse(X10)) 	= converse(composition(X10,top))].
% 1.45/1.82  [342=param(106,306),[],
% 1.45/1.82  			thtop(converse(composition(top,converse(complement(sk1)))),complement(sk1)) 	= thmtrue].
% 1.45/1.82  [364=param(122,117),[],
% 1.45/1.82  			join(X10,complement(X11)) 	= complement(meet(complement(X10),X11))].
% 1.45/1.82  [365=demod(12),[364],
% 1.45/1.82  			complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) 	= X10].
% 1.45/1.82  [371=demod(147),[364],
% 1.45/1.82  			complement(meet(complement(meet(zero,X10)),join(top,X10))) 	= zero].
% 1.45/1.82  [376=param(321,50),[176,26],
% 1.45/1.82  			join(X10,join(X10,converse(complement(composition(converse(X10),join(one,one)))))) 	= top].
% 1.45/1.82  [377=param(364,14),[],
% 1.45/1.82  			join(complement(X11),X10) 	= complement(meet(complement(X10),X11))].
% 1.45/1.82  [379=demod(365),[377],
% 1.45/1.82  			complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) 	= X10].
% 1.45/1.82  [380=demod(78),[377,57],
% 1.45/1.82  			complement(meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11))))))) 	= complement(converse(X10))].
% 1.45/1.82  [391=demod(69),[377,364],
% 1.45/1.82  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= join(top,X11)].
% 1.45/1.82  [393=param(364,30),[],
% 1.45/1.82  			converse(join(X10,converse(complement(X11)))) 	= complement(meet(complement(converse(X10)),X11))].
% 1.45/1.82  [395=param(364,117),[],
% 1.45/1.82  			join(X10,X11) 	= complement(meet(complement(X10),complement(X11)))].
% 1.45/1.82  [403=demod(321),[395],
% 1.45/1.82  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= top].
% 1.45/1.82  [404=demod(393),[395],
% 1.45/1.82  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.45/1.82  [415=demod(179),[395,395],
% 1.45/1.82  			complement(meet(complement(X10),complement(converse(composition(converse(X10),X11))))) 	= composition(converse(complement(meet(complement(one),complement(X11)))),X10)].
% 1.45/1.82  [421=demod(391),[395,53],
% 1.45/1.82  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= complement(meet(zero,complement(X11)))].
% 1.45/1.82  [504=demod(371),[395,53],
% 1.45/1.82  			complement(meet(complement(meet(zero,X10)),complement(meet(zero,complement(X10))))) 	= zero].
% 1.45/1.82  [518=demod(376),[395,119,117,9,395,403,395,53,57],
% 1.45/1.82  			complement(meet(zero,complement(X10))) 	= top].
% 1.45/1.82  [520=demod(421),[518],
% 1.45/1.82  			complement(meet(complement(X10),meet(complement(X11),X10))) 	= top].
% 1.45/1.82  [523=demod(504),[518,57,118,117],
% 1.45/1.82  			meet(zero,X10) 	= zero].
% 1.45/1.82  [646=param(2,520),[57,118],
% 1.45/1.82  			meet(complement(X10),meet(complement(X11),X10)) 	= zero].
% 1.45/1.82  [649=param(646,117),[],
% 1.45/1.82  			meet(complement(X10),meet(X11,X10)) 	= zero].
% 1.45/1.82  [652=param(649,314),[57],
% 1.45/1.82  			meet(X10,complement(converse(complement(converse(complement(X10)))))) 	= zero].
% 1.45/1.82  [719=param(117,379),[],
% 1.45/1.82  			meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10))) 	= complement(X10)].
% 1.45/1.82  [724=param(380,1),[],
% 1.45/1.82  			complement(meet(converse(sk1),complement(composition(top,complement(converse(sk1)))))) 	= complement(converse(sk1))].
% 1.45/1.82  [873=param(404,314),[117,117,7],
% 1.45/1.82  			converse(complement(meet(complement(X10),complement(converse(complement(converse(complement(X10)))))))) 	= converse(X10)].
% 1.45/1.82  [965=param(415,325),[7,53,57,523,145,306],
% 1.45/1.82  			complement(meet(complement(X10),complement(composition(top,X10)))) 	= composition(top,X10)].
% 1.45/1.82  [1114=param(965,117),[],
% 1.45/1.82  			complement(meet(X10,complement(composition(top,complement(X10))))) 	= composition(top,complement(X10))].
% 1.45/1.82  [1115=demod(724),[1114],
% 1.45/1.82  			composition(top,complement(converse(sk1))) 	= complement(converse(sk1))].
% 1.45/1.82  [2101=param(719,652),[117,57,145,57,118,117,117],
% 1.45/1.82  			complement(meet(X10,complement(converse(complement(converse(X10)))))) 	= converse(complement(converse(X10)))].
% 1.45/1.82  [2102=demod(873),[2101,7],
% 1.45/1.82  			complement(converse(complement(X10))) 	= converse(X10)].
% 1.45/1.82  [2107=demod(2101),[2102,7,119],
% 1.45/1.82  			converse(complement(converse(X10))) 	= complement(X10)].
% 1.45/1.82  [2198=param(2107,7),[],
% 1.45/1.82  			complement(converse(X10)) 	= converse(complement(X10))].
% 1.45/1.82  [2318=demod(1115),[2198,2198],
% 1.45/1.82  			composition(top,converse(complement(sk1))) 	= converse(complement(sk1))].
% 1.45/1.82  [2417=param(342,2318),[7,16],
% 1.45/1.82  			thmtrue 	= thmfalse].
% 1.45/1.82  % SZS output end CNFRefutation
% 1.45/1.82  Space:   5825 KB 
%------------------------------------------------------------------------------