TSTP Solution File: REL012-1 by Fiesta---2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Fiesta---2
% Problem : REL012-1 : 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 19:23:11 EDT 2022
% Result : Unsatisfiable 1.30s 1.69s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL012-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : fiesta-wrapper %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Fri Jul 8 15:33:06 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.30/1.69 Theorem Proved.
% 1.30/1.69 % SZS status Unsatisfiable
% 1.30/1.69 % SZS output start CNFRefutation
% 1.30/1.69 [1=axiom,[],
% 1.30/1.69 meet(X10,complement(X10)) = zero].
% 1.30/1.69 [2=axiom,[],
% 1.30/1.69 join(X10,complement(X10)) = top].
% 1.30/1.69 [3=axiom,[],
% 1.30/1.69 join(composition(converse(X10),complement(composition(X10,X11))),complement(X11)) = complement(X11)].
% 1.30/1.69 [4=axiom,[],
% 1.30/1.69 converse(composition(X10,X11)) = composition(converse(X11),converse(X10))].
% 1.30/1.69 [5=axiom,[],
% 1.30/1.69 join(converse(X10),converse(X11)) = converse(join(X10,X11))].
% 1.30/1.69 [6=axiom,[],
% 1.30/1.69 converse(converse(X10)) = X10].
% 1.30/1.69 [8=axiom,[],
% 1.30/1.69 composition(X10,one) = X10].
% 1.30/1.69 [10=axiom,[],
% 1.30/1.69 complement(join(complement(X10),complement(X11))) = meet(X10,X11)].
% 1.30/1.69 [11=axiom,[10],
% 1.30/1.69 join(meet(X10,X11),complement(join(complement(X10),X11))) = X10].
% 1.30/1.69 [12=axiom,[],
% 1.30/1.69 join(join(X10,X11),X12) = join(X10,join(X11,X12))].
% 1.30/1.69 [13=axiom,[],
% 1.30/1.69 join(X10,X11) = join(X11,X10)].
% 1.30/1.69 [14=demod(3),[13],
% 1.30/1.69 join(complement(X10),composition(converse(X11),complement(composition(X11,X10)))) = complement(X10)].
% 1.30/1.69 [15=axiom,[],
% 1.30/1.69 thtop(X10,X10) = thmfalse].
% 1.30/1.69 [16=axiom,[13],
% 1.30/1.69 thtop(join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))),complement(sk1)) = thmtrue].
% 1.30/1.69 [18=param(5,6),[],
% 1.30/1.69 join(converse(X10),X11) = converse(join(X10,converse(X11)))].
% 1.30/1.69 [21=param(4,8),[],
% 1.30/1.69 composition(converse(one),converse(X10)) = converse(X10)].
% 1.30/1.69 [22=param(4,6),[],
% 1.30/1.69 composition(X10,converse(X11)) = converse(composition(X11,converse(X10)))].
% 1.30/1.69 [25=param(21,6),[6],
% 1.30/1.69 composition(converse(one),X10) = X10].
% 1.30/1.69 [26=param(25,8),[],
% 1.30/1.69 converse(one) = one].
% 1.30/1.69 [27=demod(25),[26],
% 1.30/1.69 composition(one,X10) = X10].
% 1.30/1.69 [33=param(18,2),[],
% 1.30/1.69 converse(join(X10,converse(complement(converse(X10))))) = top].
% 1.30/1.69 [35=param(18,13),[],
% 1.30/1.69 converse(join(X10,converse(X11))) = join(X11,converse(X10))].
% 1.30/1.69 [42=param(10,2),[1],
% 1.30/1.69 complement(top) = zero].
% 1.30/1.69 [43=param(2,10),[12],
% 1.30/1.69 join(complement(X10),join(complement(X11),meet(X10,X11))) = top].
% 1.30/1.69 [46=param(10,13),[10],
% 1.30/1.69 meet(X10,X11) = meet(X11,X10)].
% 1.30/1.69 [50=param(10,42),[],
% 1.30/1.69 complement(join(zero,complement(X10))) = meet(top,X10)].
% 1.30/1.69 [51=param(11,1),[10],
% 1.30/1.69 join(zero,meet(X10,X10)) = X10].
% 1.30/1.69 [59=param(12,11),[],
% 1.30/1.69 join(meet(X10,X12),join(complement(join(complement(X10),X12)),X11)) = join(X10,X11)].
% 1.30/1.69 [60=param(12,13),[],
% 1.30/1.69 join(X10,join(X11,X12)) = join(X12,join(X10,X11))].
% 1.30/1.69 [61=param(12,13),[12],
% 1.30/1.69 join(X10,join(X11,X12)) = join(X11,join(X10,X12))].
% 1.30/1.69 [64=param(11,46),[],
% 1.30/1.69 join(meet(X10,X11),complement(join(complement(X11),X10))) = X11].
% 1.30/1.69 [68=param(14,4),[6],
% 1.30/1.69 join(complement(converse(X10)),composition(X11,complement(converse(composition(X10,X11))))) = complement(converse(X10))].
% 1.30/1.69 [72=param(14,26),[27,27],
% 1.30/1.69 join(complement(X10),complement(X10)) = complement(X10)].
% 1.30/1.69 [78=param(10,72),[],
% 1.30/1.69 meet(X10,X10) = complement(complement(X10))].
% 1.30/1.69 [80=demod(51),[78],
% 1.30/1.69 join(zero,complement(complement(X10))) = X10].
% 1.30/1.69 [82=param(72,42),[42,42],
% 1.30/1.69 join(zero,zero) = zero].
% 1.30/1.69 [87=param(12,82),[],
% 1.30/1.69 join(zero,join(zero,X10)) = join(zero,X10)].
% 1.30/1.69 [95=param(80,10),[],
% 1.30/1.69 join(complement(X10),complement(X11)) = join(zero,complement(meet(X10,X11)))].
% 1.30/1.69 [109=param(87,80),[80],
% 1.30/1.69 join(zero,X10) = X10].
% 1.30/1.69 [110=demod(50),[109],
% 1.30/1.69 meet(top,X10) = complement(complement(X10))].
% 1.30/1.69 [115=demod(80),[109],
% 1.30/1.69 complement(complement(X10)) = X10].
% 1.30/1.69 [116=demod(110),[115],
% 1.30/1.69 meet(top,X10) = X10].
% 1.30/1.69 [117=demod(78),[115],
% 1.30/1.69 meet(X10,X10) = X10].
% 1.30/1.69 [120=demod(95),[109],
% 1.30/1.69 join(complement(X10),complement(X11)) = complement(meet(X10,X11))].
% 1.30/1.69 [142=param(115,42),[],
% 1.30/1.69 complement(zero) = top].
% 1.30/1.69 [206=param(6,33),[],
% 1.30/1.69 join(X10,converse(complement(converse(X10)))) = converse(top)].
% 1.30/1.69 [267=param(43,117),[13,2,13],
% 1.30/1.69 join(top,complement(X10)) = top].
% 1.30/1.69 [272=param(267,115),[],
% 1.30/1.69 join(top,X10) = top].
% 1.30/1.69 [283=param(35,272),[],
% 1.30/1.69 join(X10,converse(top)) = converse(top)].
% 1.30/1.69 [289=param(283,272),[],
% 1.30/1.69 converse(top) = top].
% 1.30/1.69 [291=demod(206),[289],
% 1.30/1.69 join(X10,converse(complement(converse(X10)))) = top].
% 1.30/1.69 [309=param(11,291),[42,13,109],
% 1.30/1.69 meet(X10,converse(complement(converse(complement(X10))))) = X10].
% 1.30/1.69 [381=param(64,1),[115,109],
% 1.30/1.69 complement(join(X10,X10)) = complement(X10)].
% 1.30/1.69 [387=param(61,64),[],
% 1.30/1.69 join(meet(X12,X11),join(X10,complement(join(complement(X11),X12)))) = join(X10,X11)].
% 1.30/1.69 [401=param(115,381),[115],
% 1.30/1.69 join(X10,X10) = X10].
% 1.30/1.69 [409=param(60,401),[],
% 1.30/1.69 join(X11,join(X10,X11)) = join(X10,X11)].
% 1.30/1.69 [421=param(409,59),[13,11],
% 1.30/1.69 join(X10,meet(X10,X11)) = X10].
% 1.30/1.69 [537=param(120,115),[],
% 1.30/1.69 join(X10,complement(X11)) = complement(meet(complement(X10),X11))].
% 1.30/1.69 [563=demod(387),[537,537],
% 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),join(complement(X11),X10)))) = join(X12,X11)].
% 1.30/1.69 [586=param(537,13),[],
% 1.30/1.69 join(complement(X11),X10) = complement(meet(complement(X10),X11))].
% 1.30/1.69 [596=demod(68),[586,46],
% 1.30/1.69 complement(meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11))))))) = complement(converse(X10))].
% 1.30/1.69 [614=demod(563),[586],
% 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) = join(X12,X11)].
% 1.30/1.69 [632=param(537,18),[],
% 1.30/1.69 converse(join(X10,converse(complement(X11)))) = complement(meet(complement(converse(X10)),X11))].
% 1.30/1.69 [635=param(537,115),[],
% 1.30/1.69 join(X10,X11) = complement(meet(complement(X10),complement(X11)))].
% 1.30/1.69 [644=demod(614),[635],
% 1.30/1.69 complement(meet(complement(meet(X10,X11)),meet(complement(X12),complement(meet(complement(X10),X11))))) = complement(meet(complement(X12),complement(X11)))].
% 1.30/1.69 [697=demod(291),[635],
% 1.30/1.69 complement(meet(complement(X10),complement(converse(complement(converse(X10)))))) = top].
% 1.30/1.69 [700=demod(632),[635],
% 1.30/1.69 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),complement(converse(complement(X11))))))].
% 1.30/1.69 [712=demod(421),[635],
% 1.30/1.69 complement(meet(complement(X10),complement(meet(X10,X11)))) = X10].
% 1.30/1.69 [844=param(16,635),[115,22],
% 1.30/1.69 thtop(complement(meet(sk1,complement(converse(composition(sk2,converse(complement(composition(sk1,sk2)))))))),complement(sk1)) = thmtrue].
% 1.30/1.69 [895=param(115,712),[],
% 1.30/1.69 meet(complement(X10),complement(meet(X10,X11))) = complement(X10)].
% 1.30/1.69 [896=param(895,46),[],
% 1.30/1.69 meet(complement(X10),complement(meet(X11,X10))) = complement(X10)].
% 1.30/1.69 [954=param(1,697),[46,116],
% 1.30/1.69 meet(complement(X10),complement(converse(complement(converse(X10))))) = zero].
% 1.30/1.69 [1082=param(115,596),[115],
% 1.30/1.69 meet(converse(X10),complement(composition(X11,complement(converse(composition(X10,X11)))))) = converse(X10)].
% 1.30/1.69 [1168=param(644,895),[115,46,115],
% 1.30/1.69 complement(meet(X10,complement(meet(X10,X11)))) = complement(meet(X10,complement(X11)))].
% 1.30/1.69 [1173=param(115,1168),[115],
% 1.30/1.69 meet(X10,complement(meet(X10,X11))) = meet(X10,complement(X11))].
% 1.30/1.69 [1177=param(1173,954),[142,46,116,115],
% 1.30/1.69 meet(complement(X10),converse(complement(converse(X10)))) = complement(X10)].
% 1.30/1.69 [1217=param(896,1177),[115,46],
% 1.30/1.69 meet(X10,complement(converse(complement(converse(X10))))) = complement(converse(complement(converse(X10))))].
% 1.30/1.69 [1806=param(700,309),[115,115,6,1217,115,6],
% 1.30/1.69 complement(converse(complement(X10))) = converse(X10)].
% 1.30/1.69 [1808=demod(700),[1806],
% 1.30/1.69 complement(meet(complement(converse(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))].
% 1.30/1.69 [1839=param(1806,115),[],
% 1.30/1.69 complement(converse(X10)) = converse(complement(X10))].
% 1.30/1.69 [1843=demod(1808),[1839],
% 1.30/1.69 complement(meet(converse(complement(X10)),X11)) = converse(complement(meet(complement(X10),converse(X11))))].
% 1.30/1.69 [1953=demod(1082),[1839],
% 1.30/1.69 meet(converse(X10),complement(composition(X11,converse(complement(composition(X10,X11)))))) = converse(X10)].
% 1.30/1.69 [2010=param(844,1839),[],
% 1.30/1.69 thtop(complement(meet(sk1,converse(complement(composition(sk2,converse(complement(composition(sk1,sk2)))))))),complement(sk1)) = thmtrue].
% 1.30/1.69 [2103=param(1843,115),[115],
% 1.30/1.69 complement(meet(converse(X10),X11)) = converse(complement(meet(X10,converse(X11))))].
% 1.30/1.69 [2110=param(115,2103),[1839,115],
% 1.30/1.69 meet(converse(X10),X11) = converse(meet(X10,converse(X11)))].
% 1.30/1.69 [2160=demod(1953),[2110],
% 1.30/1.69 converse(meet(X10,converse(complement(composition(X11,converse(complement(composition(X10,X11)))))))) = converse(X10)].
% 1.30/1.69 [2184=param(2110,46),[],
% 1.30/1.69 converse(meet(X10,converse(X11))) = meet(X11,converse(X10))].
% 1.30/1.69 [2421=param(2010,2184),[46,2110,2160,6,15],
% 1.30/1.69 thmtrue = thmfalse].
% 1.30/1.69 % SZS output end CNFRefutation
% 1.30/1.69 Space: 4227 KB
%------------------------------------------------------------------------------