TSTP Solution File: REL050-3 by Fiesta---2
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- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : REL050-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : dedam
% Command : fiesta-wrapper %s
% Computer : n014.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 19:24:03 EDT 2022
% Result : Unsatisfiable 1.46s 1.86s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL050-3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : fiesta-wrapper %s
% 0.13/0.33 % Computer : n014.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 09:47:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.46/1.86 Theorem Proved.
% 1.46/1.86 % SZS status Unsatisfiable
% 1.46/1.86 % SZS output start CNFRefutation
% 1.46/1.86 [4=axiom,[],
% 1.46/1.86 meet(X10,complement(X10)) = zero].
% 1.46/1.86 [5=axiom,[],
% 1.46/1.86 join(X10,complement(X10)) = top].
% 1.46/1.86 [6=axiom,[],
% 1.46/1.86 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)].
% 1.46/1.86 [7=axiom,[],
% 1.46/1.86 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))].
% 1.46/1.86 [8=axiom,[],
% 1.46/1.86 join(converse(X10),converse(X11)) = converse(join(X10,X11))].
% 1.46/1.86 [9=axiom,[],
% 1.46/1.86 converse(converse(X10)) = X10].
% 1.46/1.86 [10=axiom,[],
% 1.46/1.86 join(composition(X10,X12),composition(X11,X12)) = composition(join(X10,X11),X12)].
% 1.46/1.86 [11=axiom,[],
% 1.46/1.86 composition(X10,one) = X10].
% 1.46/1.86 [12=axiom,[],
% 1.46/1.86 composition(composition(X10,X11),X12) = composition(X10,composition(X11,X12))].
% 1.46/1.86 [13=axiom,[],
% 1.46/1.86 complement(join(complement(X10),complement(X11))) = meet(X10,X11)].
% 1.46/1.86 [14=axiom,[13],
% 1.46/1.86 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10].
% 1.46/1.86 [15=axiom,[],
% 1.46/1.86 join(join(X10,X11),X12) = join(X10,join(X11,X12))].
% 1.46/1.86 [16=axiom,[],
% 1.46/1.86 join(X10,X11) = join(X11,X10)].
% 1.46/1.86 [18=demod(6),[16],
% 1.46/1.86 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)].
% 1.46/1.86 [19=axiom,[],
% 1.46/1.86 thtop(X10,X10) = thmfalse].
% 1.46/1.86 [20=axiom,[],
% 1.46/1.86 thtop(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) = thmtrue].
% 1.46/1.86 [22=param(8,9),[],
% 1.46/1.86 join(converse(X10),X11) = converse(join(X10,converse(X11)))].
% 1.46/1.86 [23=param(22,5),[],
% 1.46/1.86 converse(join(X10,converse(complement(converse(X10))))) = top].
% 1.46/1.86 [26=param(9,7),[],
% 1.46/1.86 converse(composition(converse(X10),converse(X11))) = composition(X11,X10)].
% 1.46/1.86 [28=param(7,11),[],
% 1.46/1.86 composition(converse(one),converse(X10)) = converse(X10)].
% 1.46/1.86 [30=param(7,9),[],
% 1.46/1.86 composition(X10,converse(X11)) = converse(composition(X11,converse(X10)))].
% 1.46/1.86 [33=param(28,9),[9],
% 1.46/1.86 composition(converse(one),X10) = X10].
% 1.46/1.86 [34=param(33,11),[],
% 1.46/1.86 converse(one) = one].
% 1.46/1.86 [35=demod(33),[34],
% 1.46/1.86 composition(one,X10) = X10].
% 1.46/1.86 [38=param(10,35),[],
% 1.46/1.86 join(X10,composition(X11,X10)) = composition(join(one,X11),X10)].
% 1.46/1.86 [50=param(13,5),[4],
% 1.46/1.86 complement(top) = zero].
% 1.46/1.86 [54=param(13,16),[13],
% 1.46/1.86 meet(X10,X11) = meet(X11,X10)].
% 1.46/1.86 [58=param(4,50),[54],
% 1.46/1.86 meet(zero,top) = zero].
% 1.46/1.86 [60=param(13,50),[],
% 1.46/1.86 complement(join(zero,complement(X10))) = meet(top,X10)].
% 1.46/1.86 [61=param(14,4),[13],
% 1.46/1.86 join(zero,meet(X10,X10)) = X10].
% 1.46/1.86 [62=param(14,5),[50,16],
% 1.46/1.86 join(zero,meet(X10,complement(complement(X10)))) = X10].
% 1.46/1.86 [66=param(14,58),[16],
% 1.46/1.86 join(zero,complement(join(top,complement(zero)))) = zero].
% 1.46/1.86 [89=param(18,34),[35,35],
% 1.46/1.86 join(complement(X10),complement(X10)) = complement(X10)].
% 1.46/1.86 [90=param(18,50),[50],
% 1.46/1.86 join(zero,composition(converse(X10),complement(composition(X10,top)))) = zero].
% 1.46/1.86 [96=param(9,23),[],
% 1.46/1.86 join(X10,converse(complement(converse(X10)))) = converse(top)].
% 1.46/1.86 [98=param(13,89),[],
% 1.46/1.86 meet(X10,X10) = complement(complement(X10))].
% 1.46/1.86 [100=demod(61),[98],
% 1.46/1.86 join(zero,complement(complement(X10))) = X10].
% 1.46/1.86 [103=param(15,89),[],
% 1.46/1.86 join(complement(X10),join(complement(X10),X11)) = join(complement(X10),X11)].
% 1.46/1.86 [104=param(89,50),[50,50],
% 1.46/1.86 join(zero,zero) = zero].
% 1.46/1.86 [105=param(15,104),[],
% 1.46/1.86 join(zero,join(zero,X10)) = join(zero,X10)].
% 1.46/1.86 [118=param(100,13),[],
% 1.46/1.86 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))].
% 1.46/1.86 [145=param(20,26),[-7,9,-26],
% 1.46/1.86 thtop(complement(composition(sk1,top)),converse(composition(converse(top),converse(complement(composition(sk1,top)))))) = thmtrue].
% 1.46/1.86 [149=param(105,16),[15],
% 1.46/1.86 join(zero,join(X10,zero)) = join(zero,X10)].
% 1.46/1.86 [151=param(105,100),[100],
% 1.46/1.86 join(zero,X10) = X10].
% 1.46/1.86 [152=demod(62),[151],
% 1.46/1.86 meet(X10,complement(complement(X10))) = X10].
% 1.46/1.86 [157=demod(60),[151],
% 1.46/1.86 meet(top,X10) = complement(complement(X10))].
% 1.46/1.86 [160=demod(66),[151],
% 1.46/1.86 complement(join(top,complement(zero))) = zero].
% 1.46/1.86 [161=demod(100),[151],
% 1.46/1.86 complement(complement(X10)) = X10].
% 1.46/1.86 [162=demod(157),[161],
% 1.46/1.86 meet(top,X10) = X10].
% 1.46/1.86 [163=demod(152),[161],
% 1.46/1.86 meet(X10,X10) = X10].
% 1.46/1.86 [166=demod(118),[151],
% 1.46/1.86 join(complement(X10),complement(X11)) = complement(meet(X10,X11))].
% 1.46/1.86 [168=demod(90),[151],
% 1.46/1.86 composition(converse(X10),complement(composition(X10,top))) = zero].
% 1.46/1.86 [170=demod(149),[151,151],
% 1.46/1.86 join(X10,zero) = X10].
% 1.46/1.86 [171=param(14,170),[161,16],
% 1.46/1.86 join(X10,meet(X10,zero)) = X10].
% 1.46/1.86 [190=param(161,50),[],
% 1.46/1.86 complement(zero) = top].
% 1.46/1.86 [191=demod(160),[190],
% 1.46/1.86 complement(join(top,top)) = zero].
% 1.46/1.86 [237=param(5,191),[15,16,151],
% 1.46/1.86 join(top,top) = top].
% 1.46/1.86 [238=param(15,237),[],
% 1.46/1.86 join(top,join(top,X10)) = join(top,X10)].
% 1.46/1.86 [272=param(171,54),[],
% 1.46/1.86 join(X10,meet(zero,X10)) = X10].
% 1.46/1.86 [294=param(166,161),[],
% 1.46/1.86 join(X10,complement(X11)) = complement(meet(complement(X10),X11))].
% 1.46/1.86 [295=demod(14),[294],
% 1.46/1.86 complement(meet(complement(meet(X10,X11)),join(complement(X10),X11))) = X10].
% 1.46/1.86 [313=param(294,16),[],
% 1.46/1.86 join(complement(X11),X10) = complement(meet(complement(X10),X11))].
% 1.46/1.86 [314=demod(295),[313],
% 1.46/1.86 complement(meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10)))) = X10].
% 1.46/1.86 [318=demod(18),[313,54],
% 1.46/1.86 complement(meet(X10,complement(composition(converse(X11),complement(composition(X11,X10)))))) = complement(X10)].
% 1.46/1.86 [324=demod(103),[313,294,161,313],
% 1.46/1.86 complement(meet(X10,meet(complement(X11),X10))) = complement(meet(complement(X11),X10))].
% 1.46/1.86 [328=param(294,22),[],
% 1.46/1.86 converse(join(X10,converse(complement(X11)))) = complement(meet(complement(converse(X10)),X11))].
% 1.46/1.86 [331=param(294,161),[],
% 1.46/1.86 join(X10,X11) = complement(meet(complement(X10),complement(X11)))].
% 1.46/1.86 [341=demod(272),[331],
% 1.46/1.86 complement(meet(complement(X10),complement(meet(zero,X10)))) = X10].
% 1.46/1.86 [347=demod(38),[331,331],
% 1.46/1.86 complement(meet(complement(X10),complement(composition(X11,X10)))) = composition(complement(meet(complement(one),complement(X11))),X10)].
% 1.46/1.86 [371=demod(96),[331],
% 1.46/1.86 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = converse(top)].
% 1.46/1.86 [372=demod(328),[331],
% 1.46/1.86 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.46/1.86 [452=demod(238),[331,50,331,50,161,331,50],
% 1.46/1.86 complement(meet(zero,meet(zero,complement(X10)))) = complement(meet(zero,complement(X10)))].
% 1.46/1.86 [460=param(168,9),[],
% 1.46/1.86 composition(X10,complement(composition(converse(X10),top))) = zero].
% 1.46/1.86 [508=param(161,341),[],
% 1.46/1.86 meet(complement(X10),complement(meet(zero,X10))) = complement(X10)].
% 1.46/1.86 [526=param(452,161),[161],
% 1.46/1.86 complement(meet(zero,meet(zero,X10))) = complement(meet(zero,X10))].
% 1.46/1.86 [529=param(161,526),[161],
% 1.46/1.86 meet(zero,meet(zero,X10)) = meet(zero,X10)].
% 1.46/1.86 [530=param(529,54),[],
% 1.46/1.86 meet(zero,meet(X10,zero)) = meet(zero,X10)].
% 1.46/1.86 [532=param(508,530),[],
% 1.46/1.86 meet(complement(meet(X10,zero)),complement(meet(zero,X10))) = complement(meet(X10,zero))].
% 1.46/1.86 [533=param(324,4),[161,161,54,4,190],
% 1.46/1.86 complement(meet(X10,zero)) = top].
% 1.46/1.86 [534=demod(532),[533,162,533],
% 1.46/1.86 complement(meet(zero,X10)) = top].
% 1.46/1.86 [542=param(4,534),[54,162],
% 1.46/1.86 meet(zero,X10) = zero].
% 1.46/1.86 [547=param(161,314),[],
% 1.46/1.86 meet(complement(meet(X10,X11)),complement(meet(complement(X11),X10))) = complement(X10)].
% 1.46/1.86 [567=param(161,318),[161],
% 1.46/1.86 meet(X10,complement(composition(converse(X11),complement(composition(X11,X10))))) = X10].
% 1.46/1.86 [702=param(347,50),[54,542,190],
% 1.46/1.86 complement(meet(complement(X10),complement(composition(top,X10)))) = composition(top,X10)].
% 1.46/1.86 [752=param(702,50),[542,190],
% 1.46/1.86 composition(top,top) = top].
% 1.46/1.86 [754=param(161,702),[],
% 1.46/1.86 meet(complement(X10),complement(composition(top,X10))) = complement(composition(top,X10))].
% 1.46/1.86 [755=param(12,752),[],
% 1.46/1.86 composition(top,composition(top,X10)) = composition(top,X10)].
% 1.46/1.86 [763=param(754,161),[],
% 1.46/1.86 meet(X10,complement(composition(top,complement(X10)))) = complement(composition(top,complement(X10)))].
% 1.46/1.86 [764=param(754,460),[161,190,54,162,460,190],
% 1.46/1.86 composition(converse(top),top) = top].
% 1.46/1.86 [770=param(7,764),[9,764],
% 1.46/1.86 converse(top) = top].
% 1.46/1.86 [780=demod(371),[770],
% 1.46/1.86 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = top].
% 1.46/1.86 [801=param(145,770),[],
% 1.46/1.86 thtop(complement(composition(sk1,top)),converse(composition(top,converse(complement(composition(sk1,top)))))) = thmtrue].
% 1.46/1.86 [894=param(4,780),[54,162],
% 1.46/1.86 meet(complement(X10),complement(converse(complement(converse(X10))))) = zero].
% 1.46/1.86 [896=param(894,9),[],
% 1.46/1.86 meet(complement(converse(X10)),complement(converse(complement(X10)))) = zero].
% 1.46/1.86 [1162=param(567,755),[770,763],
% 1.46/1.86 complement(composition(top,complement(composition(top,X10)))) = composition(top,X10)].
% 1.46/1.86 [1182=param(161,1162),[],
% 1.46/1.86 composition(top,complement(composition(top,X10))) = complement(composition(top,X10))].
% 1.46/1.86 [1190=param(1182,30),[770],
% 1.46/1.86 composition(top,complement(converse(composition(X10,top)))) = complement(composition(top,converse(X10)))].
% 1.46/1.86 [1381=param(547,894),[190,161,54,162,161],
% 1.46/1.86 complement(meet(complement(X10),converse(complement(converse(X10))))) = X10].
% 1.46/1.86 [1382=param(547,894),[54,190,54,162,161],
% 1.46/1.86 complement(meet(X10,complement(converse(complement(converse(X10)))))) = converse(complement(converse(X10)))].
% 1.46/1.86 [1384=param(547,896),[54,190,54,162,161],
% 1.46/1.86 complement(meet(converse(X10),complement(converse(complement(X10))))) = converse(complement(X10))].
% 1.46/1.86 [1478=param(161,1381),[],
% 1.46/1.86 meet(complement(X10),converse(complement(converse(X10)))) = complement(X10)].
% 1.46/1.86 [1481=param(372,1478),[161,9,1382,9],
% 1.46/1.86 complement(converse(complement(X10))) = converse(X10)].
% 1.46/1.86 [1536=demod(1384),[1481,163],
% 1.46/1.86 complement(converse(X10)) = converse(complement(X10))].
% 1.46/1.86 [1657=demod(1190),[1536],
% 1.46/1.86 composition(top,converse(complement(composition(X10,top)))) = complement(composition(top,converse(X10)))].
% 1.46/1.86 [2581=param(801,1657),[30,770,1536,9,19],
% 1.46/1.86 thmtrue = thmfalse].
% 1.46/1.86 % SZS output end CNFRefutation
% 1.46/1.86 Space: 6554 KB
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