TSTP Solution File: REL050-1 by Fiesta---2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Fiesta---2
% Problem  : REL050-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : dedam
% Command  : fiesta-wrapper %s

% Computer : n016.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 19:24:02 EDT 2022

% Result   : Unsatisfiable 1.12s 1.52s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : REL050-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : fiesta-wrapper %s
% 0.12/0.33  % Computer : n016.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 16:02:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.12/1.52  Theorem Proved.
% 1.12/1.52  % SZS status Unsatisfiable
% 1.12/1.52  % SZS output start CNFRefutation
% 1.12/1.52  [1=axiom,[],
% 1.12/1.52  			meet(X10,complement(X10)) 	= zero].
% 1.12/1.52  [2=axiom,[],
% 1.12/1.52  			join(X10,complement(X10)) 	= top].
% 1.12/1.52  [3=axiom,[],
% 1.12/1.52  			join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) 	= complement(X11)].
% 1.12/1.52  [4=axiom,[],
% 1.12/1.52  			converse(composition(X10,X11)) 	= composition(converse(X11),converse(X10))].
% 1.12/1.52  [5=axiom,[],
% 1.12/1.52  			join(converse(X10),converse(X11)) 	= converse(join(X10,X11))].
% 1.12/1.52  [6=axiom,[],
% 1.12/1.52  			converse(converse(X10)) 	= X10].
% 1.12/1.52  [7=axiom,[],
% 1.12/1.52  			join(composition(X10,X12),composition(X11,X12)) 	= composition(join(X10,X11),X12)].
% 1.12/1.52  [8=axiom,[],
% 1.12/1.52  			composition(X10,one) 	= X10].
% 1.12/1.52  [9=axiom,[],
% 1.12/1.52  			composition(composition(X10,X11),X12) 	= composition(X10,composition(X11,X12))].
% 1.12/1.52  [10=axiom,[],
% 1.12/1.52  			complement(join(complement(X10),complement(X11))) 	= meet(X10,X11)].
% 1.12/1.52  [11=axiom,[10],
% 1.12/1.52  			join(meet(X10,X11),complement(join(complement(X10),X11))) 	= X10].
% 1.12/1.52  [12=axiom,[],
% 1.12/1.52  			join(join(X10,X11),X12) 	= join(X10,join(X11,X12))].
% 1.12/1.52  [13=axiom,[],
% 1.12/1.52  			join(X10,X11) 	= join(X11,X10)].
% 1.12/1.52  [14=demod(3),[13],
% 1.12/1.52  			join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) 	= complement(X10)].
% 1.12/1.52  [15=axiom,[],
% 1.12/1.52  			thtop(X10,X10) 	= thmfalse].
% 1.12/1.52  [16=axiom,[],
% 1.12/1.52  			thtop(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) 	= thmtrue].
% 1.12/1.52  [18=param(5,6),[],
% 1.12/1.52  			join(converse(X10),X11) 	= converse(join(X10,converse(X11)))].
% 1.12/1.52  [20=param(6,4),[],
% 1.12/1.52  			converse(composition(converse(X10),converse(X11))) 	= composition(X11,X10)].
% 1.12/1.52  [21=param(4,8),[],
% 1.12/1.52  			composition(converse(one),converse(X10)) 	= converse(X10)].
% 1.12/1.52  [22=param(4,6),[],
% 1.12/1.52  			composition(X10,converse(X11)) 	= converse(composition(X11,converse(X10)))].
% 1.12/1.52  [25=param(21,6),[6],
% 1.12/1.52  			composition(converse(one),X10) 	= X10].
% 1.12/1.52  [26=param(25,8),[],
% 1.12/1.52  			converse(one) 	= one].
% 1.12/1.52  [27=demod(25),[26],
% 1.12/1.52  			composition(one,X10) 	= X10].
% 1.12/1.52  [29=param(7,27),[],
% 1.12/1.52  			join(X10,composition(X11,X10)) 	= composition(join(one,X11),X10)].
% 1.12/1.52  [30=param(7,27),[13],
% 1.12/1.52  			join(X10,composition(X11,X10)) 	= composition(join(X11,one),X10)].
% 1.12/1.52  [33=param(18,2),[],
% 1.12/1.52  			converse(join(X10,converse(complement(converse(X10))))) 	= top].
% 1.12/1.52  [35=param(18,13),[],
% 1.12/1.52  			converse(join(X10,converse(X11))) 	= join(X11,converse(X10))].
% 1.12/1.52  [42=param(10,2),[1],
% 1.12/1.52  			complement(top) 	= zero].
% 1.12/1.52  [43=param(2,10),[12],
% 1.12/1.52  			join(complement(X10),join(complement(X11),meet(X10,X11))) 	= top].
% 1.12/1.52  [46=param(10,13),[10],
% 1.12/1.52  			meet(X10,X11) 	= meet(X11,X10)].
% 1.12/1.52  [50=param(10,42),[],
% 1.12/1.52  			complement(join(zero,complement(X10))) 	= meet(top,X10)].
% 1.12/1.52  [51=param(11,1),[10],
% 1.12/1.52  			join(zero,meet(X10,X10)) 	= X10].
% 1.12/1.52  [59=param(12,11),[],
% 1.12/1.52  			join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) 	= join(X10,X11)].
% 1.12/1.52  [60=param(12,13),[],
% 1.12/1.52  			join(X10,join(X11,X12)) 	= join(X12,join(X10,X11))].
% 1.12/1.52  [61=param(12,13),[12],
% 1.12/1.52  			join(X10,join(X11,X12)) 	= join(X11,join(X10,X12))].
% 1.12/1.52  [64=param(11,46),[],
% 1.12/1.52  			join(meet(X10,X11),complement(join(complement(X11),X10))) 	= X11].
% 1.12/1.52  [72=param(14,26),[27,27],
% 1.12/1.52  			join(complement(X10),complement(X10)) 	= complement(X10)].
% 1.12/1.52  [78=param(10,72),[],
% 1.12/1.52  			meet(X10,X10) 	= complement(complement(X10))].
% 1.12/1.52  [80=demod(51),[78],
% 1.12/1.52  			join(zero,complement(complement(X10))) 	= X10].
% 1.12/1.52  [82=param(72,42),[42,42],
% 1.12/1.52  			join(zero,zero) 	= zero].
% 1.12/1.52  [87=param(12,82),[],
% 1.12/1.52  			join(zero,join(zero,X10)) 	= join(zero,X10)].
% 1.12/1.52  [94=param(16,20),[-4,6,-20],
% 1.12/1.52  			thtop(complement(composition(sk1,top)),converse(composition(converse(top),converse(complement(composition(sk1,top)))))) 	= thmtrue].
% 1.12/1.52  [95=param(80,10),[],
% 1.12/1.52  			join(complement(X10),complement(X11)) 	= join(zero,complement(meet(X10,X11)))].
% 1.12/1.52  [109=param(87,80),[80],
% 1.12/1.52  			join(zero,X10) 	= X10].
% 1.12/1.52  [110=demod(50),[109],
% 1.12/1.52  			meet(top,X10) 	= complement(complement(X10))].
% 1.12/1.52  [115=demod(80),[109],
% 1.12/1.52  			complement(complement(X10)) 	= X10].
% 1.12/1.52  [116=demod(110),[115],
% 1.12/1.52  			meet(top,X10) 	= X10].
% 1.12/1.52  [117=demod(78),[115],
% 1.12/1.52  			meet(X10,X10) 	= X10].
% 1.12/1.52  [120=demod(95),[109],
% 1.12/1.52  			join(complement(X10),complement(X11)) 	= complement(meet(X10,X11))].
% 1.12/1.52  [142=param(115,42),[],
% 1.12/1.52  			complement(zero) 	= top].
% 1.12/1.52  [206=param(6,33),[],
% 1.12/1.52  			join(X10,converse(complement(converse(X10)))) 	= converse(top)].
% 1.12/1.52  [267=param(43,117),[13,2,13],
% 1.12/1.52  			join(top,complement(X10)) 	= top].
% 1.12/1.52  [272=param(267,115),[],
% 1.12/1.52  			join(top,X10) 	= top].
% 1.12/1.52  [282=param(30,272),[],
% 1.12/1.52  			join(X10,composition(top,X10)) 	= composition(top,X10)].
% 1.12/1.52  [283=param(35,272),[],
% 1.12/1.52  			join(X10,converse(top)) 	= converse(top)].
% 1.12/1.52  [289=param(283,272),[],
% 1.12/1.52  			converse(top) 	= top].
% 1.12/1.52  [291=demod(206),[289],
% 1.12/1.52  			join(X10,converse(complement(converse(X10)))) 	= top].
% 1.12/1.52  [308=param(94,289),[],
% 1.12/1.52  			thtop(complement(composition(sk1,top)),converse(composition(top,converse(complement(composition(sk1,top)))))) 	= thmtrue].
% 1.12/1.52  [310=param(11,291),[42,13,109],
% 1.12/1.52  			meet(X10,converse(complement(converse(complement(X10))))) 	= X10].
% 1.12/1.52  [325=param(282,272),[],
% 1.12/1.52  			composition(top,top) 	= top].
% 1.12/1.52  [326=param(9,325),[],
% 1.12/1.52  			composition(top,composition(top,X10)) 	= composition(top,X10)].
% 1.12/1.52  [382=param(64,1),[115,109],
% 1.12/1.52  			complement(join(X10,X10)) 	= complement(X10)].
% 1.12/1.52  [388=param(61,64),[],
% 1.12/1.52  			join(meet(X12,X11),join(X10,complement(join(complement(X11),X12)))) 	= join(X10,X11)].
% 1.12/1.52  [401=param(115,382),[115],
% 1.12/1.52  			join(X10,X10) 	= X10].
% 1.12/1.52  [409=param(60,401),[],
% 1.12/1.52  			join(X11,join(X10,X11)) 	= join(X10,X11)].
% 1.12/1.52  [420=param(409,59),[13,11],
% 1.12/1.52  			join(X10,meet(X10,X11)) 	= X10].
% 1.12/1.52  [507=param(14,326),[289,29,13,272],
% 1.12/1.52  			composition(top,complement(composition(top,X10))) 	= complement(composition(top,X10))].
% 1.12/1.52  [534=param(120,115),[],
% 1.12/1.52  			join(X10,complement(X11)) 	= complement(meet(complement(X10),X11))].
% 1.12/1.52  [560=demod(388),[534,534],
% 1.12/1.52  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),join(complement(X11),X10)))) 	= join(X12,X11)].
% 1.12/1.52  [583=param(534,13),[],
% 1.12/1.52  			join(complement(X11),X10) 	= complement(meet(complement(X10),X11))].
% 1.12/1.52  [611=demod(560),[583],
% 1.12/1.52  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) 	= join(X12,X11)].
% 1.12/1.52  [629=param(534,18),[],
% 1.12/1.52  			converse(join(X10,converse(complement(X11)))) 	= complement(meet(complement(converse(X10)),X11))].
% 1.12/1.52  [632=param(534,115),[],
% 1.12/1.52  			join(X10,X11) 	= complement(meet(complement(X10),complement(X11)))].
% 1.12/1.52  [641=demod(611),[632],
% 1.12/1.52  			complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) 	= complement(meet(complement(X12),complement(X11)))].
% 1.12/1.52  [694=demod(291),[632],
% 1.12/1.52  			complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) 	= top].
% 1.12/1.52  [697=demod(629),[632],
% 1.12/1.52  			complement(meet(complement(converse(X10)),X11)) 	= converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.12/1.52  [709=demod(420),[632],
% 1.12/1.52  			complement(meet(complement(X10),complement(meet(X10,X11)))) 	= X10].
% 1.12/1.52  [875=param(507,22),[289],
% 1.12/1.52  			composition(top,complement(converse(composition(X10,top)))) 	= complement(composition(top,converse(X10)))].
% 1.12/1.52  [891=param(115,709),[],
% 1.12/1.52  			meet(complement(X10),complement(meet(X10,X11))) 	= complement(X10)].
% 1.12/1.52  [892=param(891,46),[],
% 1.12/1.52  			meet(complement(X10),complement(meet(X11,X10))) 	= complement(X10)].
% 1.12/1.52  [950=param(1,694),[46,116],
% 1.12/1.52  			meet(complement(X10),complement(converse(complement(converse(X10))))) 	= zero].
% 1.12/1.52  [1164=param(641,891),[115,46,115],
% 1.12/1.52  			complement(meet(X10,complement(meet(X10,X11)))) 	= complement(meet(X10,complement(X11)))].
% 1.12/1.52  [1169=param(115,1164),[115],
% 1.12/1.52  			meet(X10,complement(meet(X10,X11))) 	= meet(X10,complement(X11))].
% 1.12/1.52  [1173=param(1169,950),[142,46,116,115],
% 1.12/1.52  			meet(complement(X10),converse(complement(converse(X10)))) 	= complement(X10)].
% 1.12/1.52  [1213=param(892,1173),[115,46],
% 1.12/1.52  			meet(X10,complement(converse(complement(converse(X10))))) 	= complement(converse(complement(converse(X10))))].
% 1.12/1.52  [1802=param(697,310),[115,115,6,1213,115,6],
% 1.12/1.52  			complement(converse(complement(X10))) 	= converse(X10)].
% 1.12/1.52  [1835=param(1802,115),[],
% 1.12/1.52  			complement(converse(X10)) 	= converse(complement(X10))].
% 1.12/1.52  [1942=demod(875),[1835],
% 1.12/1.52  			composition(top,converse(complement(composition(X10,top)))) 	= complement(composition(top,converse(X10)))].
% 1.12/1.52  [2083=param(308,1942),[22,289,1835,6,15],
% 1.12/1.52  			thmtrue 	= thmfalse].
% 1.12/1.52  % SZS output end CNFRefutation
% 1.12/1.52  Space:   3511 KB 
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