TSTP Solution File: REL023-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : REL023-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n009.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 19:23:26 EDT 2022
% Result : Unsatisfiable 1.50s 1.91s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL023-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : fiesta-wrapper %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 12:22:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.50/1.91 Theorem Proved.
% 1.50/1.91 % SZS status Unsatisfiable
% 1.50/1.91 % SZS output start CNFRefutation
% 1.50/1.91 [4=axiom,[],
% 1.50/1.91 meet(X10,complement(X10)) = zero].
% 1.50/1.91 [5=axiom,[],
% 1.50/1.91 join(X10,complement(X10)) = top].
% 1.50/1.91 [6=axiom,[],
% 1.50/1.91 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)].
% 1.50/1.91 [7=axiom,[],
% 1.50/1.91 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))].
% 1.50/1.91 [8=axiom,[],
% 1.50/1.91 join(converse(X10),converse(X11)) = converse(join(X10,X11))].
% 1.50/1.91 [9=axiom,[],
% 1.50/1.91 converse(converse(X10)) = X10].
% 1.50/1.91 [10=axiom,[],
% 1.50/1.91 join(composition(X10,X12),composition(X11,X12)) = composition(join(X10,X11),X12)].
% 1.50/1.91 [11=axiom,[],
% 1.50/1.91 composition(X10,one) = X10].
% 1.50/1.91 [13=axiom,[],
% 1.50/1.91 complement(join(complement(X10),complement(X11))) = meet(X10,X11)].
% 1.50/1.91 [14=axiom,[13],
% 1.50/1.91 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10].
% 1.50/1.91 [15=axiom,[],
% 1.50/1.91 join(join(X10,X11),X12) = join(X10,join(X11,X12))].
% 1.50/1.91 [16=axiom,[],
% 1.50/1.91 join(X10,X11) = join(X11,X10)].
% 1.50/1.91 [18=demod(6),[16],
% 1.50/1.91 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)].
% 1.50/1.91 [19=axiom,[],
% 1.50/1.91 thtop(X10,X10) = thmfalse].
% 1.50/1.91 [20=axiom,[10,16],
% 1.50/1.91 thtop(composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) = thmtrue].
% 1.50/1.91 [22=param(8,9),[],
% 1.50/1.91 join(converse(X10),X11) = converse(join(X10,converse(X11)))].
% 1.50/1.91 [23=param(22,5),[],
% 1.50/1.91 converse(join(X10,converse(complement(converse(X10))))) = top].
% 1.50/1.91 [28=param(7,11),[],
% 1.50/1.91 composition(converse(one),converse(X10)) = converse(X10)].
% 1.50/1.91 [33=param(28,9),[9],
% 1.50/1.91 composition(converse(one),X10) = X10].
% 1.50/1.91 [34=param(33,11),[],
% 1.50/1.91 converse(one) = one].
% 1.50/1.91 [35=demod(33),[34],
% 1.50/1.91 composition(one,X10) = X10].
% 1.50/1.91 [38=param(10,35),[],
% 1.50/1.91 join(X10,composition(X11,X10)) = composition(join(one,X11),X10)].
% 1.50/1.91 [50=param(13,5),[4],
% 1.50/1.91 complement(top) = zero].
% 1.50/1.91 [54=param(13,16),[13],
% 1.50/1.91 meet(X10,X11) = meet(X11,X10)].
% 1.50/1.91 [58=param(4,50),[54],
% 1.50/1.91 meet(zero,top) = zero].
% 1.50/1.91 [60=param(13,50),[],
% 1.50/1.91 complement(join(zero,complement(X10))) = meet(top,X10)].
% 1.50/1.91 [61=param(14,4),[13],
% 1.50/1.91 join(zero,meet(X10,X10)) = X10].
% 1.50/1.91 [62=param(14,5),[50,16],
% 1.50/1.91 join(zero,meet(X10,complement(complement(X10)))) = X10].
% 1.50/1.91 [66=param(14,58),[16],
% 1.50/1.91 join(zero,complement(join(top,complement(zero)))) = zero].
% 1.50/1.91 [69=param(15,14),[],
% 1.50/1.91 join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) = join(X10,X11)].
% 1.50/1.91 [93=param(18,34),[35,35],
% 1.50/1.91 join(complement(X10),complement(X10)) = complement(X10)].
% 1.50/1.91 [94=param(18,50),[50],
% 1.50/1.91 join(zero,composition(converse(X10),complement(composition(X10,top)))) = zero].
% 1.50/1.91 [96=param(13,93),[],
% 1.50/1.91 meet(X10,X10) = complement(complement(X10))].
% 1.50/1.91 [98=demod(61),[96],
% 1.50/1.91 join(zero,complement(complement(X10))) = X10].
% 1.50/1.91 [101=param(15,93),[],
% 1.50/1.91 join(complement(X10),join(complement(X10),X11)) = join(complement(X10),X11)].
% 1.50/1.91 [102=param(93,50),[50,50],
% 1.50/1.91 join(zero,zero) = zero].
% 1.50/1.91 [103=param(15,102),[],
% 1.50/1.91 join(zero,join(zero,X10)) = join(zero,X10)].
% 1.50/1.91 [106=param(9,23),[],
% 1.50/1.91 join(X10,converse(complement(converse(X10)))) = converse(top)].
% 1.50/1.91 [107=param(98,13),[],
% 1.50/1.91 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))].
% 1.50/1.91 [149=param(103,16),[15],
% 1.50/1.91 join(zero,join(X10,zero)) = join(zero,X10)].
% 1.50/1.91 [151=param(103,98),[98],
% 1.50/1.91 join(zero,X10) = X10].
% 1.50/1.91 [152=demod(62),[151],
% 1.50/1.91 meet(X10,complement(complement(X10))) = X10].
% 1.50/1.91 [157=demod(60),[151],
% 1.50/1.91 meet(top,X10) = complement(complement(X10))].
% 1.50/1.91 [160=demod(66),[151],
% 1.50/1.91 complement(join(top,complement(zero))) = zero].
% 1.50/1.91 [161=demod(98),[151],
% 1.50/1.91 complement(complement(X10)) = X10].
% 1.50/1.91 [162=demod(157),[161],
% 1.50/1.91 meet(top,X10) = X10].
% 1.50/1.91 [163=demod(152),[161],
% 1.50/1.91 meet(X10,X10) = X10].
% 1.50/1.91 [166=demod(107),[151],
% 1.50/1.91 join(complement(X10),complement(X11)) = complement(meet(X10,X11))].
% 1.50/1.91 [168=demod(94),[151],
% 1.50/1.91 composition(converse(X10),complement(composition(X10,top))) = zero].
% 1.50/1.91 [170=demod(149),[151,151],
% 1.50/1.91 join(X10,zero) = X10].
% 1.50/1.91 [171=param(14,170),[161,16],
% 1.50/1.91 join(X10,meet(X10,zero)) = X10].
% 1.50/1.91 [190=param(161,50),[],
% 1.50/1.91 complement(zero) = top].
% 1.50/1.91 [191=demod(160),[190],
% 1.50/1.91 complement(join(top,top)) = zero].
% 1.50/1.91 [237=param(5,191),[15,16,151],
% 1.50/1.91 join(top,top) = top].
% 1.50/1.91 [238=param(15,237),[],
% 1.50/1.91 join(top,join(top,X10)) = join(top,X10)].
% 1.50/1.91 [272=param(171,54),[],
% 1.50/1.91 join(X10,meet(zero,X10)) = X10].
% 1.50/1.91 [294=param(166,161),[],
% 1.50/1.91 join(X10,complement(X11)) = complement(meet(complement(X10),X11))].
% 1.50/1.91 [295=demod(14),[294],
% 1.50/1.91 complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) = X10].
% 1.50/1.91 [313=param(294,16),[],
% 1.50/1.91 join(complement(X11),X10) = complement(meet(complement(X10),X11))].
% 1.50/1.91 [314=demod(295),[313],
% 1.50/1.91 complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) = X10].
% 1.50/1.91 [321=demod(69),[313,161],
% 1.50/1.91 join(meet(X10,X11),join(meet(complement(X11),X10),X12)) = join(X10,X12)].
% 1.50/1.91 [324=demod(101),[313,294,161,313],
% 1.50/1.91 complement(meet(X10,meet(complement(X11),X10))) = complement(meet(complement(X11),X10))].
% 1.50/1.91 [328=param(294,22),[],
% 1.50/1.91 converse(join(X10,converse(complement(X11)))) = complement(meet(complement(converse(X10)),X11))].
% 1.50/1.91 [331=param(294,161),[],
% 1.50/1.91 join(X10,X11) = complement(meet(complement(X10),complement(X11)))].
% 1.50/1.91 [341=demod(272),[331],
% 1.50/1.91 complement(meet(complement(X10),complement(meet(zero,X10)))) = X10].
% 1.50/1.91 [347=demod(38),[331,331],
% 1.50/1.91 complement(meet(complement(X10),complement(composition(X11,X10)))) = composition(complement(meet(complement(one),complement(X11))),X10)].
% 1.50/1.91 [371=demod(106),[331],
% 1.50/1.91 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = converse(top)].
% 1.50/1.91 [372=demod(328),[331],
% 1.50/1.91 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.50/1.91 [452=demod(238),[331,50,331,50,161,331,50],
% 1.50/1.91 complement(meet(zero,meet(zero,complement(X10)))) = complement(meet(zero,complement(X10)))].
% 1.50/1.91 [455=demod(321),[331,331,161,331],
% 1.50/1.91 complement(meet(complement(meet(X10,X11)),meet(complement(meet(complement(X11),X10)),complement(X12)))) = complement(meet(complement(X10),complement(X12)))].
% 1.50/1.91 [460=param(168,9),[],
% 1.50/1.91 composition(X10,complement(composition(converse(X10),top))) = zero].
% 1.50/1.91 [508=param(161,341),[],
% 1.50/1.91 meet(complement(X10),complement(meet(zero,X10))) = complement(X10)].
% 1.50/1.91 [526=param(452,161),[161],
% 1.50/1.91 complement(meet(zero,meet(zero,X10))) = complement(meet(zero,X10))].
% 1.50/1.91 [529=param(161,526),[161],
% 1.50/1.91 meet(zero,meet(zero,X10)) = meet(zero,X10)].
% 1.50/1.91 [530=param(529,54),[],
% 1.50/1.91 meet(zero,meet(X10,zero)) = meet(zero,X10)].
% 1.50/1.91 [532=param(508,530),[],
% 1.50/1.91 meet(complement(meet(X10,zero)),complement(meet(zero,X10))) = complement(meet(X10,zero))].
% 1.50/1.91 [533=param(324,4),[161,161,54,4,190],
% 1.50/1.91 complement(meet(X10,zero)) = top].
% 1.50/1.91 [534=demod(532),[533,162,533],
% 1.50/1.91 complement(meet(zero,X10)) = top].
% 1.50/1.91 [540=param(324,161),[161],
% 1.50/1.91 complement(meet(X10,meet(X11,X10))) = complement(meet(X11,X10))].
% 1.50/1.91 [542=param(4,534),[54,162],
% 1.50/1.91 meet(zero,X10) = zero].
% 1.50/1.91 [545=param(314,54),[],
% 1.50/1.91 complement(meet(complement(meet(complement(X10),X11)),complement(meet(X11,X10)))) = X11].
% 1.50/1.91 [547=param(161,314),[],
% 1.50/1.91 meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10))) = complement(X10)].
% 1.50/1.91 [550=param(161,540),[161],
% 1.50/1.91 meet(X11,meet(X10,X11)) = meet(X10,X11)].
% 1.50/1.91 [702=param(347,50),[54,542,190],
% 1.50/1.91 complement(meet(complement(X10),complement(composition(top,X10)))) = composition(top,X10)].
% 1.50/1.91 [754=param(161,702),[],
% 1.50/1.91 meet(complement(X10),complement(composition(top,X10))) = complement(composition(top,X10))].
% 1.50/1.91 [764=param(754,460),[161,190,54,162,460,190],
% 1.50/1.91 composition(converse(top),top) = top].
% 1.50/1.91 [770=param(7,764),[9,764],
% 1.50/1.91 converse(top) = top].
% 1.50/1.91 [780=demod(371),[770],
% 1.50/1.91 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = top].
% 1.50/1.91 [893=param(4,780),[54,162],
% 1.50/1.91 meet(complement(X10),complement(converse(complement(converse(X10))))) = zero].
% 1.50/1.91 [895=param(893,9),[],
% 1.50/1.91 meet(complement(converse(X10)),complement(converse(complement(X10)))) = zero].
% 1.50/1.91 [1244=param(455,550),[545],
% 1.50/1.91 complement(meet(complement(X10),complement(meet(X10,X11)))) = X10].
% 1.50/1.91 [1249=param(161,1244),[],
% 1.50/1.91 meet(complement(X10),complement(meet(X10,X11))) = complement(X10)].
% 1.50/1.91 [1250=param(1249,54),[],
% 1.50/1.91 meet(complement(X10),complement(meet(X11,X10))) = complement(X10)].
% 1.50/1.91 [1370=param(547,893),[190,161,54,162,161],
% 1.50/1.91 complement(meet(complement(X10),converse(complement(converse(X10))))) = X10].
% 1.50/1.91 [1371=param(547,893),[54,190,54,162,161],
% 1.50/1.91 complement(meet(X10,complement(converse(complement(converse(X10)))))) = converse(complement(converse(X10)))].
% 1.50/1.91 [1373=param(547,895),[54,190,54,162,161],
% 1.50/1.91 complement(meet(converse(X10),complement(converse(complement(X10))))) = converse(complement(X10))].
% 1.50/1.91 [1467=param(161,1370),[],
% 1.50/1.91 meet(complement(X10),converse(complement(converse(X10)))) = complement(X10)].
% 1.50/1.91 [1470=param(372,1467),[161,9,1371,9],
% 1.50/1.91 complement(converse(complement(X10))) = converse(X10)].
% 1.50/1.91 [1471=demod(372),[1470],
% 1.50/1.91 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))].
% 1.50/1.91 [1525=demod(1373),[1470,163],
% 1.50/1.91 complement(converse(X10)) = converse(complement(X10))].
% 1.50/1.91 [1530=demod(1471),[1525],
% 1.50/1.91 complement(meet(converse(complement(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))].
% 1.50/1.91 [2574=param(1530,161),[161],
% 1.50/1.91 complement(meet(converse(X10),X11)) = converse(complement(meet(X10,converse(X11))))].
% 1.50/1.91 [2593=param(161,2574),[1525,161],
% 1.50/1.91 meet(converse(X10),X11) = converse(meet(X10,converse(X11)))].
% 1.50/1.91 [2667=param(2593,54),[],
% 1.50/1.91 converse(meet(X10,converse(X11))) = meet(X11,converse(X10))].
% 1.50/1.91 [2694=param(1250,2593),[1525],
% 1.50/1.91 meet(complement(X10),converse(complement(meet(X11,converse(X10))))) = complement(X10)].
% 1.50/1.91 [2748=param(20,2667),[331,1525,2694,161,54,54,19],
% 1.50/1.91 thmtrue = thmfalse].
% 1.50/1.91 % SZS output end CNFRefutation
% 1.50/1.91 Space: 6854 KB
%------------------------------------------------------------------------------