TSTP Solution File: REL041-2 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : REL041-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n004.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 19:23:54 EDT 2022
% Result : Unsatisfiable 18.77s 19.21s
% Output : CNFRefutation 18.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL041-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : fiesta-wrapper %s
% 0.12/0.33 % Computer : n004.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 08:57:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.77/19.21 Theorem Proved.
% 18.77/19.21 % SZS status Unsatisfiable
% 18.77/19.21 % SZS output start CNFRefutation
% 18.77/19.21 [1=axiom,[],
% 18.77/19.21 join(composition(converse(sk1),sk1),one) = one].
% 18.77/19.21 [3=axiom,[],
% 18.77/19.21 join(meet(composition(X10,X11),X12),meet(composition(X10,meet(X11,composition(converse(X10),X12))),X12)) = meet(composition(X10,meet(X11,composition(converse(X10),X12))),X12)].
% 18.77/19.21 [5=axiom,[],
% 18.77/19.21 meet(X10,complement(X10)) = zero].
% 18.77/19.21 [6=axiom,[],
% 18.77/19.21 join(X10,complement(X10)) = top].
% 18.77/19.21 [7=axiom,[],
% 18.77/19.21 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)].
% 18.77/19.21 [8=axiom,[],
% 18.77/19.21 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))].
% 18.77/19.21 [9=axiom,[],
% 18.77/19.21 join(converse(X10),converse(X11)) = converse(join(X10,X11))].
% 18.77/19.21 [10=axiom,[],
% 18.77/19.21 converse(converse(X10)) = X10].
% 18.77/19.21 [11=axiom,[],
% 18.77/19.21 join(composition(X10,X12),composition(X11,X12)) = composition(join(X10,X11),X12)].
% 18.77/19.21 [12=axiom,[],
% 18.77/19.21 composition(X10,one) = X10].
% 18.77/19.21 [13=axiom,[],
% 18.77/19.21 composition(composition(X10,X11),X12) = composition(X10,composition(X11,X12))].
% 18.77/19.21 [14=axiom,[],
% 18.77/19.21 complement(join(complement(X10),complement(X11))) = meet(X10,X11)].
% 18.77/19.21 [15=axiom,[14],
% 18.77/19.21 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10].
% 18.77/19.21 [16=axiom,[],
% 18.77/19.21 join(join(X10,X11),X12) = join(X10,join(X11,X12))].
% 18.77/19.21 [17=axiom,[],
% 18.77/19.21 join(X10,X11) = join(X11,X10)].
% 18.77/19.21 [18=demod(1),[17],
% 18.77/19.21 join(one,composition(converse(sk1),sk1)) = one].
% 18.77/19.21 [19=demod(7),[17],
% 18.77/19.21 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)].
% 18.77/19.21 [21=axiom,[],
% 18.77/19.21 thtop(X10,X10) = thmfalse].
% 18.77/19.21 [22=axiom,[],
% 18.77/19.21 thtop(meet(composition(sk1,sk2),composition(sk1,complement(sk2))),zero) = thmtrue].
% 18.77/19.21 [24=param(9,10),[],
% 18.77/19.21 join(converse(X10),X11) = converse(join(X10,converse(X11)))].
% 18.77/19.21 [26=param(10,8),[],
% 18.77/19.21 converse(composition(converse(X10),converse(X11))) = composition(X11,X10)].
% 18.77/19.21 [28=param(8,12),[],
% 18.77/19.21 composition(converse(one),converse(X10)) = converse(X10)].
% 18.77/19.21 [30=param(8,10),[],
% 18.77/19.21 composition(converse(X10),X11) = converse(composition(converse(X11),X10))].
% 18.77/19.21 [32=param(28,10),[10],
% 18.77/19.21 composition(converse(one),X10) = X10].
% 18.77/19.21 [33=param(32,12),[],
% 18.77/19.21 converse(one) = one].
% 18.77/19.21 [34=demod(32),[33],
% 18.77/19.21 composition(one,X10) = X10].
% 18.77/19.21 [36=param(11,34),[],
% 18.77/19.21 join(X10,composition(X11,X10)) = composition(join(one,X11),X10)].
% 18.77/19.21 [37=param(11,34),[17],
% 18.77/19.21 join(X10,composition(X11,X10)) = composition(join(X11,one),X10)].
% 18.77/19.21 [39=param(13,8),[],
% 18.77/19.21 composition(converse(composition(X10,X11)),X12) = composition(converse(X11),composition(converse(X10),X12))].
% 18.77/19.21 [40=param(24,6),[],
% 18.77/19.21 converse(join(X10,converse(complement(converse(X10))))) = top].
% 18.77/19.21 [42=param(24,17),[],
% 18.77/19.21 converse(join(X10,converse(X11))) = join(X11,converse(X10))].
% 18.77/19.21 [49=param(14,6),[5],
% 18.77/19.21 complement(top) = zero].
% 18.77/19.21 [53=param(14,17),[14],
% 18.77/19.21 meet(X10,X11) = meet(X11,X10)].
% 18.77/19.21 [54=demod(3),[53,53],
% 18.77/19.21 join(meet(composition(X10,X11),X12),meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))) = meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))].
% 18.77/19.21 [57=param(5,49),[53],
% 18.77/19.21 meet(zero,top) = zero].
% 18.77/19.21 [59=param(14,49),[],
% 18.77/19.21 complement(join(zero,complement(X10))) = meet(top,X10)].
% 18.77/19.21 [60=param(15,5),[14],
% 18.77/19.21 join(zero,meet(X10,X10)) = X10].
% 18.77/19.21 [65=param(15,57),[17],
% 18.77/19.21 join(zero,complement(join(top,complement(zero)))) = zero].
% 18.77/19.21 [82=param(19,33),[34,34],
% 18.77/19.21 join(complement(X10),complement(X10)) = complement(X10)].
% 18.77/19.21 [83=param(19,49),[49],
% 18.77/19.21 join(zero,composition(converse(X10),complement(composition(X10,top)))) = zero].
% 18.77/19.21 [88=param(14,82),[],
% 18.77/19.21 meet(X10,X10) = complement(complement(X10))].
% 18.77/19.21 [90=demod(60),[88],
% 18.77/19.21 join(zero,complement(complement(X10))) = X10].
% 18.77/19.21 [91=param(16,82),[],
% 18.77/19.21 join(complement(X10),join(complement(X10),X11)) = join(complement(X10),X11)].
% 18.77/19.21 [92=param(82,49),[49,49],
% 18.77/19.21 join(zero,zero) = zero].
% 18.77/19.21 [93=param(16,92),[],
% 18.77/19.21 join(zero,join(zero,X10)) = join(zero,X10)].
% 18.77/19.21 [98=param(90,14),[],
% 18.77/19.21 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))].
% 18.77/19.21 [117=param(93,17),[],
% 18.77/19.21 join(zero,join(X10,zero)) = join(zero,X10)].
% 18.77/19.21 [118=param(93,90),[90],
% 18.77/19.21 join(zero,X10) = X10].
% 18.77/19.21 [119=demod(83),[118],
% 18.77/19.21 composition(converse(X10),complement(composition(X10,top))) = zero].
% 18.77/19.21 [120=demod(59),[118],
% 18.77/19.21 meet(top,X10) = complement(complement(X10))].
% 18.77/19.21 [124=demod(65),[118],
% 18.77/19.21 complement(join(top,complement(zero))) = zero].
% 18.77/19.21 [125=demod(90),[118],
% 18.77/19.21 complement(complement(X10)) = X10].
% 18.77/19.21 [126=demod(120),[125],
% 18.77/19.21 meet(top,X10) = X10].
% 18.77/19.21 [130=demod(98),[118],
% 18.77/19.21 join(complement(X10),complement(X11)) = complement(meet(X10,X11))].
% 18.77/19.21 [132=demod(117),[118,118],
% 18.77/19.21 join(X10,zero) = X10].
% 18.77/19.21 [134=param(132,24),[],
% 18.77/19.21 converse(join(X10,converse(zero))) = converse(X10)].
% 18.77/19.21 [150=param(125,49),[],
% 18.77/19.21 complement(zero) = top].
% 18.77/19.21 [151=demod(124),[150],
% 18.77/19.21 complement(join(top,top)) = zero].
% 18.77/19.21 [166=param(36,18),[34,13],
% 18.77/19.21 join(X10,composition(converse(sk1),composition(sk1,X10))) = X10].
% 18.77/19.21 [169=param(36,132),[34],
% 18.77/19.21 join(X10,composition(zero,X10)) = X10].
% 18.77/19.21 [178=param(37,118),[-26],
% 18.77/19.21 converse(composition(converse(zero),converse(join(X10,one)))) = composition(X10,zero)].
% 18.77/19.21 [185=param(6,151),[17,118],
% 18.77/19.21 join(top,top) = top].
% 18.77/19.21 [186=param(16,185),[],
% 18.77/19.21 join(top,join(top,X10)) = join(top,X10)].
% 18.77/19.21 [195=param(169,118),[],
% 18.77/19.21 composition(zero,zero) = zero].
% 18.77/19.21 [196=param(13,195),[],
% 18.77/19.21 composition(zero,composition(zero,X10)) = composition(zero,X10)].
% 18.77/19.21 [209=param(10,40),[],
% 18.77/19.21 join(X10,converse(complement(converse(X10)))) = converse(top)].
% 18.77/19.21 [212=param(10,134),[10],
% 18.77/19.21 join(X10,converse(zero)) = X10].
% 18.77/19.21 [215=param(212,118),[],
% 18.77/19.21 converse(zero) = zero].
% 18.77/19.21 [218=demod(178),[215],
% 18.77/19.21 converse(composition(zero,converse(join(X10,one)))) = composition(X10,zero)].
% 18.77/19.21 [224=param(8,215),[],
% 18.77/19.21 composition(zero,converse(X10)) = converse(composition(X10,zero))].
% 18.77/19.21 [229=param(26,215),[],
% 18.77/19.21 converse(composition(zero,converse(X10))) = composition(X10,zero)].
% 18.77/19.21 [272=param(36,209),[33],
% 18.77/19.21 join(X10,composition(converse(complement(one)),X10)) = composition(converse(top),X10)].
% 18.77/19.21 [276=param(186,209),[209],
% 18.77/19.21 join(top,converse(top)) = converse(top)].
% 18.77/19.21 [278=param(42,276),[10,276],
% 18.77/19.21 converse(top) = top].
% 18.77/19.21 [281=demod(272),[278],
% 18.77/19.21 join(X10,composition(converse(complement(one)),X10)) = composition(top,X10)].
% 18.77/19.21 [290=param(8,278),[],
% 18.77/19.21 composition(top,converse(X10)) = converse(composition(X10,top))].
% 18.77/19.21 [297=param(26,278),[],
% 18.77/19.21 converse(composition(top,converse(X10))) = composition(X10,top)].
% 18.77/19.21 [325=param(16,130),[],
% 18.77/19.21 join(complement(meet(X10,X11)),X12) = join(complement(X10),join(complement(X11),X12))].
% 18.77/19.21 [329=param(130,125),[],
% 18.77/19.21 join(X10,complement(X11)) = complement(meet(complement(X10),X11))].
% 18.77/19.21 [394=param(329,17),[],
% 18.77/19.21 join(complement(X11),X10) = complement(meet(complement(X10),X11))].
% 18.77/19.21 [403=demod(91),[394,329,125,394],
% 18.77/19.21 complement(meet(X10,meet(complement(X11),X10))) = complement(meet(complement(X11),X10))].
% 18.77/19.21 [408=demod(325),[394,394,329,125],
% 18.77/19.21 complement(meet(complement(X10),meet(X11,X12))) = complement(meet(X11,meet(complement(X10),X12)))].
% 18.77/19.21 [414=param(36,329),[],
% 18.77/19.21 join(X11,composition(complement(X10),X11)) = composition(complement(meet(complement(one),X10)),X11)].
% 18.77/19.21 [416=param(329,125),[],
% 18.77/19.21 join(X10,X11) = complement(meet(complement(X10),complement(X11)))].
% 18.77/19.21 [422=demod(166),[416],
% 18.77/19.21 complement(meet(complement(X10),complement(composition(converse(sk1),composition(sk1,X10))))) = X10].
% 18.77/19.21 [423=demod(281),[416],
% 18.77/19.21 complement(meet(complement(X10),complement(composition(converse(complement(one)),X10)))) = composition(top,X10)].
% 18.77/19.21 [432=demod(414),[416],
% 18.77/19.21 complement(meet(complement(X10),complement(composition(complement(X11),X10)))) = composition(complement(meet(complement(one),X11)),X10)].
% 18.77/19.21 [436=demod(54),[416],
% 18.77/19.21 complement(meet(complement(meet(composition(X10,X11),X12)),complement(meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))))) = meet(X12,composition(X10,meet(X11,composition(converse(X10),X12))))].
% 18.77/19.21 [460=demod(218),[416],
% 18.77/19.21 converse(composition(zero,converse(complement(meet(complement(X10),complement(one)))))) = composition(X10,zero)].
% 18.77/19.21 [581=param(119,10),[-297,10],
% 18.77/19.21 composition(X10,complement(converse(composition(top,X10)))) = zero].
% 18.77/19.21 [585=param(119,215),[],
% 18.77/19.21 composition(zero,complement(composition(zero,top))) = zero].
% 18.77/19.21 [586=param(119,278),[],
% 18.77/19.21 composition(top,complement(composition(top,top))) = zero].
% 18.77/19.22 [587=param(13,586),[],
% 18.77/19.22 composition(top,composition(complement(composition(top,top)),X10)) = composition(zero,X10)].
% 18.77/19.22 [599=param(581,586),[215,150,-297],
% 18.77/19.22 converse(composition(top,converse(complement(composition(top,top))))) = zero].
% 18.77/19.22 [624=param(224,290),[-229,10],
% 18.77/19.22 composition(zero,composition(top,converse(X10))) = composition(zero,converse(composition(X10,top)))].
% 18.77/19.22 [632=param(10,599),[215],
% 18.77/19.22 composition(top,converse(complement(composition(top,top)))) = zero].
% 18.77/19.22 [636=param(39,632),[215,10,278],
% 18.77/19.22 composition(complement(composition(top,top)),composition(top,X10)) = composition(zero,X10)].
% 18.77/19.22 [712=param(587,297),[632,215,-229,278],
% 18.77/19.22 converse(composition(zero,top)) = composition(zero,top)].
% 18.77/19.22 [714=param(587,636),[],
% 18.77/19.22 composition(top,composition(zero,X10)) = composition(zero,composition(top,X10))].
% 18.77/19.22 [726=param(714,581),[-229,278,712,-229,278,712,712],
% 18.77/19.22 composition(zero,composition(top,complement(composition(zero,top)))) = composition(zero,top)].
% 18.77/19.22 [728=param(636,714),[196],
% 18.77/19.22 composition(complement(composition(top,top)),composition(zero,composition(top,X10))) = composition(zero,X10)].
% 18.77/19.22 [763=param(403,5),[125,125,53,5,150],
% 18.77/19.22 complement(meet(X10,zero)) = top].
% 18.77/19.22 [768=param(5,763),[53,126],
% 18.77/19.22 meet(X10,zero) = zero].
% 18.77/19.22 [769=param(768,53),[],
% 18.77/19.22 meet(zero,X10) = zero].
% 18.77/19.22 [797=param(408,5),[768,150,125],
% 18.77/19.22 complement(meet(complement(X10),meet(X11,X10))) = top].
% 18.77/19.22 [800=param(5,797),[53,126],
% 18.77/19.22 meet(complement(X10),meet(X11,X10)) = zero].
% 18.77/19.22 [803=param(800,125),[],
% 18.77/19.22 meet(X10,meet(X11,complement(X10))) = zero].
% 18.77/19.22 [860=param(125,422),[],
% 18.77/19.22 meet(complement(X10),complement(composition(converse(sk1),composition(sk1,X10)))) = complement(X10)].
% 18.77/19.22 [871=param(423,49),[30,278,769,150],
% 18.77/19.22 composition(top,top) = top].
% 18.77/19.22 [872=demod(728),[871,49,196],
% 18.77/19.22 composition(zero,composition(top,X10)) = composition(zero,X10)].
% 18.77/19.22 [878=demod(624),[872],
% 18.77/19.22 composition(zero,converse(composition(X10,top))) = composition(zero,converse(X10))].
% 18.77/19.22 [879=demod(726),[872,585],
% 18.77/19.22 composition(zero,top) = zero].
% 18.77/19.22 [911=param(224,432),[150,-229,126,125,10],
% 18.77/19.22 composition(zero,converse(complement(meet(complement(one),X10)))) = composition(zero,converse(complement(X10)))].
% 18.77/19.22 [917=param(878,432),[49,-297,769,150,278,879,911],
% 18.77/19.22 composition(zero,converse(complement(X10))) = zero].
% 18.77/19.22 [918=demod(460),[917,215],
% 18.77/19.22 composition(X10,zero) = zero].
% 18.77/19.22 [3052=param(803,860),[53],
% 18.77/19.22 meet(complement(X10),composition(converse(sk1),composition(sk1,X10))) = zero].
% 18.77/19.22 [3168=param(3052,125),[],
% 18.77/19.22 meet(X10,composition(converse(sk1),composition(sk1,complement(X10)))) = zero].
% 18.77/19.22 [20861=param(436,3168),[918,53,769,150,53,126,125,3168,918,53,769],
% 18.77/19.22 meet(composition(sk1,X10),composition(sk1,complement(X10))) = zero].
% 18.77/19.22 [20862=param(22,20861),[21],
% 18.77/19.22 thmtrue = thmfalse].
% 18.77/19.22 % SZS output end CNFRefutation
% 18.77/19.22 Space: 100231 KB
%------------------------------------------------------------------------------